feat: 引入可切换星历模型并扩展天象观测链路
- 新增半解析、旧模型、自定义与多源堆叠星历实例，提供 Context、Instance、SPK 读取及状态与视位置计算 - 统一太阳、月球和行星实例接口，扩展黄经穿越、留、相位、最近角距、偕日可见、任意高度升落、轨道节点及凌日等天象查询 - 完善日月食、月掩与凌日的月缘剖面、有限盘面接触、站心修正、局地可见性、全球路径和地图输出 - 新增 SVG、GeoJSON、KML 天象输出及凌日、月掩和月缘地形相关缓存与几何求解 - 新增恒星星表导入与查询，支持 CSV、Hipparcos、BSC5、Stellarium 等格式及名称、交叉标识、锥面检索和星等过滤 - 补充 IAU 2006、地球定向、折射消光、大气观测、轨道传播及半解析行星/月球数据支持 - 将默认未来民用时标切换为 TimeScaleLeapHour，更新 2027–2400 农历速查表、中文日期解析和时区边界处理 - 增加事件基线、跨模型回归、几何边界、月缘地形和输出契约测试，完善中英文手册、示例资源、NOTICE 与忽略规则
This commit is contained in:
+4
-2
@@ -1,3 +1,5 @@
|
||||
// Package planet 用内置 VSOP87 截断级数求行星黄经、黄纬与日心距离；jde 为 TT 儒略日，角度单位为度，距离单位为 AU。
|
||||
// Package planet evaluates the built-in truncated VSOP87 series for planetary longitude, latitude and heliocentric distance; jde is a TT Julian day, angles are degrees and distances are AU.
|
||||
// Package planet 提供内置星历模型的低层入口：半解析表（默认）与 VSOP87/ELP2000-82 旧级数；jde 为 TT 儒略日，角度单位为度，距离单位为 AU。
|
||||
// Package planet provides the low-level entry points of the built-in ephemeris models: the semianalytic tables (default) and the VSOP87/ELP2000-82 legacy series; jde is a TT Julian day, angles are degrees and distances are AU.
|
||||
// 求值接口的 N 后缀是 n 变体：n < 0 取完整级数；半解析模型下所有 n >= 0 使用同一张快速表；Legacy 按 n 截断。
|
||||
// The N suffix marks an n-variant: n < 0 uses the full series, every n >= 0 uses one fast table under the semianalytic model, and Legacy truncates by n.
|
||||
package planet
|
||||
|
||||
@@ -0,0 +1,247 @@
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"errors"
|
||||
"math"
|
||||
"sync"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
"b612.me/astro/planet/internal/semianalytic/lunar"
|
||||
"b612.me/astro/planet/internal/semianalytic/planets"
|
||||
)
|
||||
|
||||
const (
|
||||
cKMPerDay = 299792.458 * 86400
|
||||
// 太阳史瓦西半径 2GM☉/c²，AU。
|
||||
srsAU = 1.97412574336e-8
|
||||
)
|
||||
|
||||
var errInvalidObserver = errors.New("semianalytic: non-finite observer state")
|
||||
|
||||
type observer struct {
|
||||
jd float64
|
||||
p, v [3]float64 // 地球日心位置 km、相对质心速度 km/日
|
||||
sunVel [3]float64 // 太阳相对质心速度 km/日
|
||||
}
|
||||
|
||||
// 同一时刻常连续求多个天体，观测者状态缓存最近一次。
|
||||
var (
|
||||
observerMu sync.RWMutex
|
||||
observerCache observer
|
||||
observerSet bool
|
||||
)
|
||||
|
||||
func observerAt(jd float64) (observer, error) {
|
||||
observerMu.RLock()
|
||||
c, set := observerCache, observerSet
|
||||
observerMu.RUnlock()
|
||||
if set && c.jd == jd {
|
||||
return c, nil
|
||||
}
|
||||
e, err := helio(ephem.Earth, jd)
|
||||
if err != nil {
|
||||
return observer{}, err
|
||||
}
|
||||
// 太阳质心速度只进光行差与光行时修正：快速档、只计四颗巨行星，内行星贡献 < 0.1 mas。
|
||||
var sv [3]float64
|
||||
_, total := planets.GM(1)
|
||||
for id := 1; id <= 4; id++ {
|
||||
gm, _ := planets.GM(id)
|
||||
total += gm
|
||||
}
|
||||
for id := 5; id <= 8; id++ {
|
||||
gm, _ := planets.GM(id)
|
||||
_, v, err := planets.Fast().HeliocentricState(id, jd)
|
||||
if err != nil {
|
||||
return observer{}, err
|
||||
}
|
||||
for i := range sv {
|
||||
sv[i] -= gm * v[i]
|
||||
}
|
||||
total += gm
|
||||
}
|
||||
o := observer{jd: jd, p: e.p}
|
||||
for i := range sv {
|
||||
sv[i] /= total
|
||||
o.sunVel[i] = sv[i]
|
||||
o.v[i] = e.v[i] + sv[i]
|
||||
// 坏表读出的非有限速度不得进缓存，否则同一时刻会一直返回 NaN 方向而 err 为 nil。
|
||||
if !finite(o.v[i]) || !finite(o.p[i]) {
|
||||
return observer{}, errInvalidObserver
|
||||
}
|
||||
}
|
||||
observerMu.Lock()
|
||||
observerCache, observerSet = o, true
|
||||
observerMu.Unlock()
|
||||
return o, nil
|
||||
}
|
||||
|
||||
// targetHelio 目标日心位置；fast 用快速档，只作光行时初值与几何距离。
|
||||
func targetHelio(b ephem.Body, jd float64, fast bool) ([3]float64, error) {
|
||||
switch {
|
||||
case b == ephem.Sun:
|
||||
return [3]float64{}, nil
|
||||
case b == ephem.Moon:
|
||||
s, err := helio(ephem.Moon, jd)
|
||||
return s.p, err
|
||||
case b >= ephem.Mercury && b <= ephem.Neptune && b != ephem.EMB:
|
||||
if fast {
|
||||
return planets.Fast().Heliocentric(int(b), jd)
|
||||
}
|
||||
return planets.Default().Heliocentric(int(b), jd)
|
||||
}
|
||||
return [3]float64{}, ephem.ErrUnsupportedBody
|
||||
}
|
||||
|
||||
type apparentEntry struct {
|
||||
jd float64
|
||||
dir [3]float64
|
||||
dist, tau float64
|
||||
set bool
|
||||
}
|
||||
|
||||
var (
|
||||
apparentMu sync.RWMutex
|
||||
apparentCache [10]apparentEntry
|
||||
)
|
||||
|
||||
func apparentStore(slot int, e apparentEntry) {
|
||||
e.set = true
|
||||
apparentMu.Lock()
|
||||
apparentCache[slot] = e
|
||||
apparentMu.Unlock()
|
||||
}
|
||||
|
||||
// cacheSlot 天体对应的缓存槽；-1 表示不支持该天体。
|
||||
func cacheSlot(b ephem.Body) int {
|
||||
switch {
|
||||
case b == ephem.Sun:
|
||||
return 0
|
||||
case b == ephem.Moon:
|
||||
return 9
|
||||
case b >= ephem.Mercury && b <= ephem.Neptune && b != ephem.EMB:
|
||||
return int(b)
|
||||
}
|
||||
return -1
|
||||
}
|
||||
|
||||
// Apparent 地心视方向（ICRF 单位矢量）、几何地心距 km、光行时 日 / geocentric apparent direction.
|
||||
func Apparent(target ephem.Body, jd float64) (dir [3]float64, distKM, tauDays float64, err error) {
|
||||
slot := cacheSlot(target)
|
||||
if slot < 0 {
|
||||
return dir, 0, 0, ephem.ErrUnsupportedBody
|
||||
}
|
||||
if !finite(jd) {
|
||||
return dir, 0, 0, ephem.ErrOutOfRange
|
||||
}
|
||||
apparentMu.RLock()
|
||||
c := apparentCache[slot]
|
||||
apparentMu.RUnlock()
|
||||
if c.set && c.jd == jd {
|
||||
return c.dir, c.dist, c.tau, nil
|
||||
}
|
||||
o, err := observerAt(jd)
|
||||
if err != nil {
|
||||
return dir, 0, 0, err
|
||||
}
|
||||
if target == ephem.Moon {
|
||||
e, err := apparentMoon(jd, o)
|
||||
if err != nil {
|
||||
return dir, 0, 0, err
|
||||
}
|
||||
apparentStore(slot, e)
|
||||
return e.dir, e.dist, e.tau, nil
|
||||
}
|
||||
now, err := targetHelio(target, jd, true)
|
||||
if err != nil {
|
||||
return dir, 0, 0, err
|
||||
}
|
||||
g := vsub(now, o.p)
|
||||
dist := vlen(g)
|
||||
tau := dist / cKMPerDay
|
||||
// 迭代光行时，每次误差缩小约 v/c 倍：先用快速档收敛 τ，末次用全表；太阳在 τ 内相对质心的位移按线性计入。
|
||||
var r [3]float64
|
||||
for k := 0; k < 2; k++ {
|
||||
if r, err = targetHelio(target, jd-tau, k == 0); err != nil {
|
||||
return dir, 0, 0, err
|
||||
}
|
||||
for i := range g {
|
||||
g[i] = r[i] - o.p[i] - o.sunVel[i]*tau
|
||||
}
|
||||
tau = vlen(g) / cKMPerDay
|
||||
}
|
||||
q := vscale(g, 1/vlen(g))
|
||||
if target != ephem.Sun && target != ephem.Moon {
|
||||
q = deflect(q, r, o.p)
|
||||
}
|
||||
q = aberrate(q, o.v)
|
||||
e := apparentEntry{jd: jd, dir: toICRF(q), dist: dist, tau: tau}
|
||||
apparentStore(slot, e)
|
||||
return e.dir, e.dist, e.tau, nil
|
||||
}
|
||||
|
||||
// apparentMoon 月球地心视方向。光行时仅约 1.3 s，若像行星那样在 jd 与 jd−τ 各求一次地月质心
|
||||
// 日心位置（~1.5e8 km）再与地球相减，远历元表求值的舍入噪声（2981 年约 2e-4 km）会原样进入
|
||||
// 地心矢量，超过下游牛顿迭代的残差容差。这里全程用地心量：
|
||||
// 月球日心(jd−τ) − 地球日心(jd) = EMB(jd−τ) − EMB(jd) + f·m(jd−τ) + m(jd)/(1+μ)，
|
||||
// 其中 EMB 在 τ 内的位移按 jd 时刻速度线性外推，二阶项 ½aτ² < 1e-5 km。
|
||||
// 月球地心位置同样按 jd 时刻解析速度外推（½aτ² ≈ 2e-6 km）：直接求 m(jd−τ) 时，jd−τ 的舍入
|
||||
// （~4.7e-10 日）乘月球地心速度（~8.8e4 km/日）给出 ~1e-5 km 的逐点抖动，有限差分导数会把它放大。
|
||||
func apparentMoon(jd float64, o observer) (apparentEntry, error) {
|
||||
emb, err := planetHelio(int(ephem.EMB), jd)
|
||||
if err != nil {
|
||||
return apparentEntry{}, err
|
||||
}
|
||||
now, vel := lunar.Default().PositionVelocityJ2000(jd)
|
||||
dist := vlen(now)
|
||||
tau := dist / cKMPerDay
|
||||
f := emrat / (1 + emrat)
|
||||
g := now
|
||||
for k := 0; k < 2; k++ {
|
||||
for i := range g {
|
||||
g[i] = f*(now[i]-vel[i]*tau) + now[i]/(1+emrat) - (emb.v[i]+o.sunVel[i])*tau
|
||||
}
|
||||
tau = vlen(g) / cKMPerDay
|
||||
}
|
||||
q := aberrate(vscale(g, 1/vlen(g)), o.v)
|
||||
return apparentEntry{jd: jd, dir: toICRF(q), dist: dist, tau: tau}, nil
|
||||
}
|
||||
|
||||
// deflect 太阳引力偏折；p 目标方向，t 目标日心位置，e 地球日心位置。
|
||||
func deflect(p, t, e [3]float64) [3]float64 {
|
||||
em := vlen(e) / auKM
|
||||
eu := vscale(e, 1/vlen(e))
|
||||
q := vscale(t, 1/vlen(t))
|
||||
qpe := vdot(q, eu) + 1
|
||||
if qpe < 1e-9 {
|
||||
return p
|
||||
}
|
||||
w := srsAU / em / qpe
|
||||
pe, pq := vdot(p, eu), vdot(p, q)
|
||||
// p × (e × q) = e(p·q) − q(p·e)
|
||||
for i := range p {
|
||||
p[i] += w * (eu[i]*pq - q[i]*pe)
|
||||
}
|
||||
return p
|
||||
}
|
||||
|
||||
// aberrate 相对论光行差；v 观测者相对质心速度 km/日。
|
||||
func aberrate(p, v [3]float64) [3]float64 {
|
||||
b := vscale(v, 1/cKMPerDay)
|
||||
bm := 1 / math.Sqrt(1-vdot(b, b))
|
||||
pdv := vdot(p, b)
|
||||
w1 := 1 + pdv/(1+1/bm)
|
||||
w2 := 1 / (1 + pdv)
|
||||
var r [3]float64
|
||||
for i := range p {
|
||||
r[i] = (p[i]/bm + w1*b[i]) * w2
|
||||
}
|
||||
return vscale(r, 1/vlen(r))
|
||||
}
|
||||
|
||||
func vdot(a, b [3]float64) float64 { return a[0]*b[0] + a[1]*b[1] + a[2]*b[2] }
|
||||
func vlen(a [3]float64) float64 { return math.Sqrt(vdot(a, a)) }
|
||||
func vsub(a, b [3]float64) [3]float64 {
|
||||
return [3]float64{a[0] - b[0], a[1] - b[1], a[2] - b[2]}
|
||||
}
|
||||
func vscale(a [3]float64, k float64) [3]float64 { return [3]float64{a[0] * k, a[1] * k, a[2] * k} }
|
||||
@@ -0,0 +1,45 @@
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"math"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
// stateOnly 只暴露几何状态，迫使实例走通用矢量链。
|
||||
type stateOnly struct{ Ephemeris }
|
||||
|
||||
func (e stateOnly) State(t, c ephem.Body, jd float64) ([3]float64, [3]float64, error) {
|
||||
return e.Ephemeris.State(t, c, jd)
|
||||
}
|
||||
func (e stateOnly) Coverage(t ephem.Body) (float64, float64, bool) { return e.Ephemeris.Coverage(t) }
|
||||
|
||||
func TestGenericApparentMatchesNative(t *testing.T) {
|
||||
inst := ephem.NewInstance(stateOnly{})
|
||||
worst := 0.0
|
||||
for _, jd := range []float64{2451545.0, 2460409.25, 2433282.5, 2488069.5} {
|
||||
for _, b := range []ephem.Body{ephem.Sun, ephem.Moon, ephem.Mercury, ephem.Venus, ephem.Mars, ephem.Jupiter, ephem.Saturn, ephem.Uranus, ephem.Neptune} {
|
||||
want, wd, _, err := Ephemeris{}.Apparent(b, jd)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
got, gd, _, err := inst.Apparent(b, jd)
|
||||
if err != nil {
|
||||
t.Fatalf("body %d: %v", b, err)
|
||||
}
|
||||
cx := got[1]*want[2] - got[2]*want[1]
|
||||
cy := got[2]*want[0] - got[0]*want[2]
|
||||
cz := got[0]*want[1] - got[1]*want[0]
|
||||
c := got[0]*want[0] + got[1]*want[1] + got[2]*want[2]
|
||||
// acos 在 1 附近每 ulp 约 3 mas，用 atan2 避开这一噪声底。
|
||||
arcsec := math.Atan2(math.Sqrt(cx*cx+cy*cy+cz*cz), c) * 206264.806
|
||||
worst = math.Max(worst, arcsec)
|
||||
// 原生链的太阳质心速度只计四颗巨行星，与通用链差到数 mas。
|
||||
if arcsec > 0.005 || math.Abs(gd-wd)/wd > 1e-9 {
|
||||
t.Errorf("jd %.1f body %d: direction %.5f\" dist %.3f km", jd, b, arcsec, gd-wd)
|
||||
}
|
||||
}
|
||||
}
|
||||
t.Logf("worst %.6f\"", worst)
|
||||
}
|
||||
@@ -0,0 +1,76 @@
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"math"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
// 视月球方向在远历元也必须是光滑函数：下游中心带牛顿迭代的残差容差约 2e-10，
|
||||
// 求值噪声需留出一个量级。二阶差分 RMS 按月地距折算成 km，h=1e-7 日时真实曲率项可忽略。
|
||||
func TestApparentMoonSmoothAtDistantEpochs(t *testing.T) {
|
||||
const h, n, limitKM = 1e-7, 200, 6e-5
|
||||
for _, jd0 := range []float64{2451545.0, 2460680.5, 2288000.5, 2810139.6097} {
|
||||
var prev [2][3]float64
|
||||
var sum float64
|
||||
for i := 0; i < n; i++ {
|
||||
d, _, _, err := Apparent(ephem.Moon, jd0+float64(i)*h)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
p := [3]float64{d[0] * 3.844e5, d[1] * 3.844e5, d[2] * 3.844e5}
|
||||
if i >= 2 {
|
||||
for k := range p {
|
||||
dd := p[k] - 2*prev[1][k] + prev[0][k]
|
||||
sum += dd * dd
|
||||
}
|
||||
}
|
||||
prev[0], prev[1] = prev[1], p
|
||||
}
|
||||
if rms := math.Sqrt(sum / (n - 2)); rms > limitKM {
|
||||
t.Errorf("jd %.1f: apparent Moon second-difference rms %.2e km, want <= %.0e", jd0, rms, limitKM)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 地心化的光行时链与"两次日心相减"的旧链在数学上等价，只差 EMB 的二阶外推项（< 0.01 mas）。
|
||||
// 旧链自身带有 jd−τ 的舍入（~1e-10 日）乘地月质心速度（2.6e6 km/日）的误差，最大约 0.35 mas，
|
||||
// 因此容差取 0.5 mas；两者差值反映的是旧链误差，不是新链误差。
|
||||
func TestApparentMoonMatchesHeliocentricChain(t *testing.T) {
|
||||
for _, jd := range []float64{2451545.0, 2460409.25, 2433282.5, 2810139.6097, 2086000.5} {
|
||||
got, gd, gt, err := Apparent(ephem.Moon, jd)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
o, err := observerAt(jd)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
tau := gt
|
||||
r, err := targetHelio(ephem.Moon, jd-tau, false)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
var g [3]float64
|
||||
for i := range g {
|
||||
g[i] = r[i] - o.p[i] - o.sunVel[i]*tau
|
||||
}
|
||||
want := toICRF(aberrate(vscale(g, 1/vlen(g)), o.v))
|
||||
cx := got[1]*want[2] - got[2]*want[1]
|
||||
cy := got[2]*want[0] - got[0]*want[2]
|
||||
cz := got[0]*want[1] - got[1]*want[0]
|
||||
c := got[0]*want[0] + got[1]*want[1] + got[2]*want[2]
|
||||
mas := math.Atan2(math.Sqrt(cx*cx+cy*cy+cz*cz), c) * 206264806.2
|
||||
if mas > 0.5 {
|
||||
t.Errorf("jd %.1f: geocentric chain differs by %.4f mas", jd, mas)
|
||||
}
|
||||
now, err := targetHelio(ephem.Moon, jd, true)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
if wd := vlen(vsub(now, o.p)); math.Abs(gd-wd) > 1 {
|
||||
t.Errorf("jd %.1f: geometric distance %.3f km, heliocentric chain %.3f km", jd, gd, wd)
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,45 @@
|
||||
// 被测契约：非法 Body 与非有限历元必须报错而不是 panic 或静默返回 NaN；缓存槽不得跨天体串用。
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"math"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
func TestApparentRejectsUnsupportedBody(t *testing.T) {
|
||||
for _, body := range []ephem.Body{ephem.SSB, ephem.EMB, ephem.Earth, ephem.Body(-1), ephem.Body(2000001)} {
|
||||
if _, _, _, err := Apparent(body, 2451545); err != ephem.ErrUnsupportedBody {
|
||||
t.Errorf("Apparent(%d) err = %v, want %v", body, err, ephem.ErrUnsupportedBody)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestApparentCacheSlotsAreDistinct(t *testing.T) {
|
||||
const jd = 2451545.0
|
||||
sunDir, sunDist, _, err := Apparent(ephem.Sun, jd)
|
||||
if err != nil {
|
||||
t.Fatalf("Apparent(Sun) err = %v", err)
|
||||
}
|
||||
for _, body := range []ephem.Body{ephem.Mercury, ephem.Mars, ephem.Neptune, ephem.Moon} {
|
||||
dir, dist, _, err := Apparent(body, jd)
|
||||
if err != nil {
|
||||
t.Fatalf("Apparent(%d) err = %v", body, err)
|
||||
}
|
||||
if dir == sunDir && dist == sunDist {
|
||||
t.Errorf("Apparent(%d) returned the Sun entry", body)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestNonFiniteEpochIsOutOfRange(t *testing.T) {
|
||||
for _, jd := range []float64{math.NaN(), math.Inf(1), math.Inf(-1)} {
|
||||
if _, _, err := (Ephemeris{}).State(ephem.Mars, ephem.Sun, jd); err != ephem.ErrOutOfRange {
|
||||
t.Errorf("State(%v) err = %v, want %v", jd, err, ephem.ErrOutOfRange)
|
||||
}
|
||||
if _, _, _, err := (Ephemeris{}).Apparent(ephem.Mars, jd); err != ephem.ErrOutOfRange {
|
||||
t.Errorf("Apparent(%v) err = %v, want %v", jd, err, ephem.ErrOutOfRange)
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,46 @@
|
||||
package lunar
|
||||
|
||||
import (
|
||||
_ "embed"
|
||||
"sync"
|
||||
)
|
||||
|
||||
//go:embed lunar.bin
|
||||
var defaultTable []byte
|
||||
|
||||
var (
|
||||
defaultOnce sync.Once
|
||||
defaultModel *Model
|
||||
)
|
||||
|
||||
// Default 内置表，首次调用时解析 / the built-in table, parsed on first use.
|
||||
func Default() *Model {
|
||||
defaultOnce.Do(func() {
|
||||
m, err := Parse(defaultTable)
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
defaultModel = m
|
||||
})
|
||||
return defaultModel
|
||||
}
|
||||
|
||||
//go:embed fast.bin
|
||||
var fastTable []byte
|
||||
|
||||
var (
|
||||
fastOnce sync.Once
|
||||
fastModel *Model
|
||||
)
|
||||
|
||||
// Fast 快速档表（n ≥ 0 用），首次调用时解析 / the fast-tier table used for n ≥ 0, parsed on first use.
|
||||
func Fast() *Model {
|
||||
fastOnce.Do(func() {
|
||||
m, err := Parse(fastTable)
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
fastModel = m
|
||||
})
|
||||
return fastModel
|
||||
}
|
||||
Binary file not shown.
Binary file not shown.
@@ -0,0 +1,513 @@
|
||||
// Package lunar 月球半解析级数运行时（地心，J2000 平黄道）。
|
||||
package lunar
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
"math"
|
||||
"sync"
|
||||
)
|
||||
|
||||
const (
|
||||
j2000 = 2451545.0
|
||||
century = 36525.0
|
||||
arcsec = math.Pi / 648000.0
|
||||
fundCount = 13
|
||||
maxEnvelope = 8
|
||||
)
|
||||
|
||||
type coordinate struct {
|
||||
args []uint16
|
||||
nodes []int32
|
||||
// 包络阶数为 0 的项单独成段：flat0 为 [cos,sin] 交错
|
||||
nodes0 []int32
|
||||
flat0 []float32
|
||||
// 其余项（阶数 ≥1）
|
||||
nodesH []int32
|
||||
envH []uint8
|
||||
coefH []float32
|
||||
env []uint8
|
||||
secular []float64
|
||||
coef []float32
|
||||
}
|
||||
|
||||
// Model 已解析的月球级数表 / parsed lunar series table.
|
||||
type Model struct {
|
||||
s2 [5][]float64
|
||||
args [fundCount][5]float64
|
||||
lonPoly [5]float64
|
||||
p, q [5]float64
|
||||
maxMult [fundCount]int
|
||||
powOff [fundCount]int
|
||||
coords [3]coordinate
|
||||
maxEnv int
|
||||
// 前缀树：节点 i 的复相位 = 节点 parent[i] × pow[factor[i]]，parent 恒小于 i（-1 为根）
|
||||
nodeParent []int32
|
||||
nodeFactor []int32
|
||||
argNode []int32
|
||||
// pow 槽位 → (基本幅角, 乘数)，用于速度计算中的相位变化率
|
||||
slotFund []int8
|
||||
slotMult []float64
|
||||
powLen int
|
||||
legLen int
|
||||
// Parse 之后 Model 只读；每次求值的缓冲从池中取，可并发调用
|
||||
pool sync.Pool
|
||||
}
|
||||
|
||||
// scratch 单次求值的工作区。
|
||||
type scratch struct {
|
||||
pow []complex128
|
||||
node []complex128
|
||||
nodeRate []float64
|
||||
leg []float64
|
||||
dleg []float64
|
||||
env [maxEnvelope + 1]float64
|
||||
denv [maxEnvelope + 1]float64
|
||||
}
|
||||
|
||||
func (m *Model) getScratch() *scratch {
|
||||
if s, ok := m.pool.Get().(*scratch); ok {
|
||||
return s
|
||||
}
|
||||
return &scratch{
|
||||
pow: make([]complex128, m.powLen),
|
||||
node: make([]complex128, len(m.nodeParent)),
|
||||
nodeRate: make([]float64, len(m.nodeParent)),
|
||||
leg: make([]float64, m.legLen),
|
||||
dleg: make([]float64, m.legLen),
|
||||
}
|
||||
}
|
||||
|
||||
type reader struct {
|
||||
b []byte
|
||||
off int
|
||||
err error
|
||||
}
|
||||
|
||||
func (r *reader) take(n int) []byte {
|
||||
if r.err != nil || r.off+n > len(r.b) {
|
||||
r.err = errors.New("lunar: truncated table")
|
||||
return make([]byte, n)
|
||||
}
|
||||
s := r.b[r.off : r.off+n]
|
||||
r.off += n
|
||||
return s
|
||||
}
|
||||
|
||||
func (r *reader) u8() uint8 { return r.take(1)[0] }
|
||||
func (r *reader) u16() uint16 { return binary.LittleEndian.Uint16(r.take(2)) }
|
||||
func (r *reader) f64() float64 { return math.Float64frombits(binary.LittleEndian.Uint64(r.take(8))) }
|
||||
func (r *reader) f32() float32 { return math.Float32frombits(binary.LittleEndian.Uint32(r.take(4))) }
|
||||
|
||||
// Parse 解析 LM7 v2 二进制表 / parse an LM7 v2 table.
|
||||
func Parse(b []byte) (*Model, error) {
|
||||
r := &reader{b: b}
|
||||
if string(r.take(4)) != "LM7\x02" {
|
||||
return nil, errors.New("lunar: bad magic")
|
||||
}
|
||||
m := &Model{}
|
||||
nargs := int(r.u16())
|
||||
s2n := int(r.u16())
|
||||
secDeg := int(r.u8())
|
||||
for j := 0; j < 5; j++ {
|
||||
m.s2[j] = make([]float64, s2n)
|
||||
for k := range m.s2[j] {
|
||||
m.s2[j][k] = r.f64()
|
||||
}
|
||||
}
|
||||
for i := 0; i < fundCount; i++ {
|
||||
for k := 0; k < 5; k++ {
|
||||
m.args[i][k] = r.f64()
|
||||
}
|
||||
}
|
||||
for k := range m.lonPoly {
|
||||
m.lonPoly[k] = r.f64()
|
||||
}
|
||||
for k := range m.p {
|
||||
m.p[k] = r.f64()
|
||||
}
|
||||
for k := range m.q {
|
||||
m.q[k] = r.f64()
|
||||
}
|
||||
r.f64() // 距离比例已折入拟合系数
|
||||
mults := make([][fundCount]int8, nargs)
|
||||
for a := range mults {
|
||||
mask := r.u16()
|
||||
for i := 0; i < 16; i++ {
|
||||
if mask&(1<<uint(i)) == 0 {
|
||||
continue
|
||||
}
|
||||
if i >= fundCount {
|
||||
return nil, errors.New("lunar: multiplier index out of range")
|
||||
}
|
||||
k := int8(r.u8())
|
||||
mults[a][i] = k
|
||||
if v := int(math.Abs(float64(k))); v > m.maxMult[i] {
|
||||
m.maxMult[i] = v
|
||||
}
|
||||
}
|
||||
}
|
||||
m.buildTrie(mults)
|
||||
for c := 0; c < 3; c++ {
|
||||
n := int(r.u16())
|
||||
co := &m.coords[c]
|
||||
co.args = make([]uint16, n)
|
||||
for j := range co.args {
|
||||
co.args[j] = r.u16()
|
||||
if int(co.args[j]) >= nargs {
|
||||
return nil, errors.New("lunar: argument index out of range")
|
||||
}
|
||||
}
|
||||
co.env = r.take(n)
|
||||
ncoef := 0
|
||||
for _, e := range co.env {
|
||||
if int(e) > maxEnvelope {
|
||||
return nil, errors.New("lunar: envelope degree too high")
|
||||
}
|
||||
if int(e) > m.maxEnv {
|
||||
m.maxEnv = int(e)
|
||||
}
|
||||
ncoef += 2 * (int(e) + 1)
|
||||
}
|
||||
co.secular = make([]float64, secDeg+1)
|
||||
for k := range co.secular {
|
||||
co.secular[k] = r.f64()
|
||||
}
|
||||
raw := make([]float32, ncoef)
|
||||
for k := range raw {
|
||||
raw[k] = r.f32()
|
||||
}
|
||||
co.coef = interleave(co.env, raw)
|
||||
}
|
||||
if r.err != nil {
|
||||
return nil, r.err
|
||||
}
|
||||
if r.off != len(b) {
|
||||
return nil, errors.New("lunar: trailing bytes")
|
||||
}
|
||||
for c := range m.coords {
|
||||
co := &m.coords[c]
|
||||
co.nodes = make([]int32, len(co.args))
|
||||
pos := 0
|
||||
for j, a := range co.args {
|
||||
co.nodes[j] = m.argNode[a]
|
||||
e := int(co.env[j])
|
||||
if e == 0 {
|
||||
co.nodes0 = append(co.nodes0, co.nodes[j])
|
||||
co.flat0 = append(co.flat0, co.coef[pos], co.coef[pos+1])
|
||||
} else {
|
||||
co.nodesH = append(co.nodesH, co.nodes[j])
|
||||
co.envH = append(co.envH, co.env[j])
|
||||
co.coefH = append(co.coefH, co.coef[pos:pos+2*(e+1)]...)
|
||||
}
|
||||
pos += 2 * (e + 1)
|
||||
}
|
||||
}
|
||||
m.legLen = max3(s2n, secDeg+1, m.maxEnv+1)
|
||||
return m, nil
|
||||
}
|
||||
|
||||
func (m *Model) buildTrie(mults [][fundCount]int8) {
|
||||
total := 0
|
||||
for i := 0; i < fundCount; i++ {
|
||||
m.powOff[i] = total + m.maxMult[i]
|
||||
total += 2*m.maxMult[i] + 1
|
||||
}
|
||||
m.powLen = total
|
||||
m.slotFund = make([]int8, total)
|
||||
m.slotMult = make([]float64, total)
|
||||
for i := 0; i < fundCount; i++ {
|
||||
for k := -m.maxMult[i]; k <= m.maxMult[i]; k++ {
|
||||
m.slotFund[m.powOff[i]+k] = int8(i)
|
||||
m.slotMult[m.powOff[i]+k] = float64(k)
|
||||
}
|
||||
}
|
||||
type edge struct{ parent, factor int32 }
|
||||
index := map[edge]int32{}
|
||||
m.argNode = make([]int32, len(mults))
|
||||
for a, mv := range mults {
|
||||
cur := int32(-1)
|
||||
for i := 0; i < fundCount; i++ {
|
||||
if mv[i] == 0 {
|
||||
continue
|
||||
}
|
||||
e := edge{cur, int32(m.powOff[i] + int(mv[i]))}
|
||||
n, ok := index[e]
|
||||
if !ok {
|
||||
n = int32(len(m.nodeParent))
|
||||
index[e] = n
|
||||
m.nodeParent = append(m.nodeParent, e.parent)
|
||||
m.nodeFactor = append(m.nodeFactor, e.factor)
|
||||
}
|
||||
cur = n
|
||||
}
|
||||
m.argNode[a] = cur
|
||||
}
|
||||
}
|
||||
|
||||
// cmul 绕开内建复数乘法的 Inf/NaN 分支。
|
||||
func cmul(a, b complex128) complex128 {
|
||||
ar, ai, br, bi := real(a), imag(a), real(b), imag(b)
|
||||
return complex(ar*br-ai*bi, ar*bi+ai*br)
|
||||
}
|
||||
|
||||
func max3(a, b, c int) int {
|
||||
if b > a {
|
||||
a = b
|
||||
}
|
||||
if c > a {
|
||||
a = c
|
||||
}
|
||||
return a
|
||||
}
|
||||
|
||||
func poly(c *[5]float64, t float64) float64 {
|
||||
return c[0] + t*(c[1]+t*(c[2]+t*(c[3]+t*c[4])))
|
||||
}
|
||||
|
||||
// phase 与 poly 同值，但线性项单独做补偿归约：c1·t 在 ±1 万年达 1e6 rad，直接相加会丢掉约 1e-10 rad。
|
||||
func phase(c *[5]float64, t, tLow float64) float64 {
|
||||
const twoPiLow = 2.4492935982947064e-16
|
||||
product := c[1] * t
|
||||
roundoff := math.FMA(c[1], t, -product) + c[1]*tLow
|
||||
turns := math.Round(product / (2 * math.Pi))
|
||||
lin := math.FMA(-turns, 2*math.Pi, product) + (roundoff - turns*twoPiLow)
|
||||
return lin + (c[0] + t*t*(c[2]+t*(c[3]+t*c[4])))
|
||||
}
|
||||
|
||||
// dpoly 返回 poly 的一阶导数。
|
||||
func dpoly(c *[5]float64, t float64) float64 {
|
||||
return c[1] + t*(2*c[2]+t*(3*c[3]+t*4*c[4]))
|
||||
}
|
||||
|
||||
// legendreD 写入 P0..P(n-1)(x)；withD 时同时写入导数 P'k(x) 到 d。
|
||||
func legendreD(x float64, out, d []float64, withD bool) {
|
||||
out[0] = 1
|
||||
if len(out) > 1 {
|
||||
out[1] = x
|
||||
}
|
||||
for k := 2; k < len(out); k++ {
|
||||
out[k] = ((2*float64(k)-1)*x*out[k-1] - (float64(k)-1)*out[k-2]) / float64(k)
|
||||
}
|
||||
if !withD {
|
||||
return
|
||||
}
|
||||
d[0] = 0
|
||||
if len(d) > 1 {
|
||||
d[1] = 1
|
||||
}
|
||||
// P'k = P'(k-2) + (2k-1)·P(k-1)
|
||||
for k := 2; k < len(d); k++ {
|
||||
d[k] = d[k-2] + (2*float64(k)-1)*out[k-1]
|
||||
}
|
||||
}
|
||||
|
||||
func dot(c []float64, l []float64) float64 {
|
||||
s := 0.0
|
||||
for k, v := range c {
|
||||
s += v * l[k]
|
||||
}
|
||||
return s
|
||||
}
|
||||
|
||||
// PositionJ2000 地心月球 J2000 平黄道几何位置（km）/ geocentric Moon, J2000 mean ecliptic, km.
|
||||
// 可并发调用。
|
||||
func (m *Model) PositionJ2000(jdTT float64) [3]float64 {
|
||||
p, _ := m.eval(jdTT, false)
|
||||
return p
|
||||
}
|
||||
|
||||
// PositionVelocityJ2000 位置（km）与解析速度（km/日，对 TT）/ position (km) and analytic velocity (km/day).
|
||||
// 可并发调用。
|
||||
func (m *Model) PositionVelocityJ2000(jdTT float64) (pos, vel [3]float64) {
|
||||
return m.eval(jdTT, true)
|
||||
}
|
||||
|
||||
// eval 所有量先对 t（儒略世纪）求导，最后换算到每日。
|
||||
func (m *Model) eval(jdTT float64, wantVel bool) (pos, vel [3]float64) {
|
||||
s := m.getScratch()
|
||||
defer m.pool.Put(s)
|
||||
days := jdTT - j2000
|
||||
origin := days - jdTT
|
||||
daysLow := (jdTT - (days - origin)) - (j2000 + origin)
|
||||
t := days / century
|
||||
// tLow 保留历元相减与世纪除法的舍入，远离 J2000 时线性相位才不丢精度。
|
||||
tLow := (math.FMA(-t, century, days) + daysLow) / century
|
||||
x := (t + 20) / 100
|
||||
const dxdt = 0.01
|
||||
leg, dleg := s.leg, s.dleg
|
||||
// 递推前缀稳定，一次算到最长，S2 修正与各坐标长期项共用。
|
||||
legendreD(x, leg[:m.legLen], dleg[:m.legLen], wantVel)
|
||||
var dc, ddc [5]float64
|
||||
for j := range dc {
|
||||
dc[j] = dot(m.s2[j], leg)
|
||||
if wantVel {
|
||||
ddc[j] = dot(m.s2[j], dleg) * dxdt
|
||||
}
|
||||
}
|
||||
// ζ 随 W1 修正，D/F/l/l′ 各自修正
|
||||
var corr, dcorr, rate [fundCount]float64
|
||||
corr[0], corr[1], corr[2], corr[3], corr[12] = dc[1], dc[2], dc[3], dc[4], dc[0]
|
||||
dcorr[0], dcorr[1], dcorr[2], dcorr[3], dcorr[12] = ddc[1], ddc[2], ddc[3], ddc[4], ddc[0]
|
||||
for i := 0; i < fundCount; i++ {
|
||||
k := m.maxMult[i]
|
||||
if k == 0 {
|
||||
continue
|
||||
}
|
||||
rate[i] = dpoly(&m.args[i], t) + dcorr[i]
|
||||
sn, cs := math.Sincos(phase(&m.args[i], t, tLow) + corr[i])
|
||||
e := complex(cs, sn)
|
||||
p := s.pow[m.powOff[i]-k : m.powOff[i]+k+1]
|
||||
p[k] = 1
|
||||
for n := 1; n <= k; n++ {
|
||||
p[k+n] = cmul(p[k+n-1], e)
|
||||
p[k-n] = complex(real(p[k+n]), -imag(p[k+n]))
|
||||
}
|
||||
}
|
||||
// 热循环按 wantVel 拆开，纯位置路径不写 nodeRate
|
||||
node, factor := s.node, m.nodeFactor
|
||||
if wantVel {
|
||||
nr := s.nodeRate
|
||||
for n, parent := range m.nodeParent {
|
||||
fac := factor[n]
|
||||
f := s.pow[fac]
|
||||
r := m.slotMult[fac] * rate[m.slotFund[fac]]
|
||||
if parent >= 0 {
|
||||
f = cmul(node[parent], f)
|
||||
r += nr[parent]
|
||||
}
|
||||
node[n] = f
|
||||
nr[n] = r
|
||||
}
|
||||
} else {
|
||||
for n, parent := range m.nodeParent {
|
||||
f := s.pow[factor[n]]
|
||||
if parent >= 0 {
|
||||
f = cmul(node[parent], f)
|
||||
}
|
||||
node[n] = f
|
||||
}
|
||||
}
|
||||
env, denv := s.env[:m.maxEnv+1], s.denv[:m.maxEnv+1]
|
||||
legendreD(x, env, denv, wantVel)
|
||||
var v, dv [3]float64
|
||||
for c := 0; c < 3; c++ {
|
||||
co := &m.coords[c]
|
||||
sum := dot(co.secular, leg)
|
||||
dsum := 0.0
|
||||
if wantVel {
|
||||
dsum = dot(co.secular, dleg) * dxdt
|
||||
}
|
||||
f0 := co.flat0
|
||||
if wantVel {
|
||||
nr := s.nodeRate
|
||||
for j, n := range co.nodes0 {
|
||||
z := node[n]
|
||||
a, b := float64(f0[2*j]), float64(f0[2*j+1])
|
||||
sum += a*real(z) + b*imag(z)
|
||||
dsum += nr[n] * (b*real(z) - a*imag(z))
|
||||
}
|
||||
pos := 0
|
||||
for j, e := range co.envH {
|
||||
n := co.nodesH[j]
|
||||
z := node[n]
|
||||
var ac, as, dac, das float64
|
||||
for d := 0; d <= int(e); d++ {
|
||||
cc, cn := float64(co.coefH[pos]), float64(co.coefH[pos+1])
|
||||
ac += env[d] * cc
|
||||
as += env[d] * cn
|
||||
dac += denv[d] * cc
|
||||
das += denv[d] * cn
|
||||
pos += 2
|
||||
}
|
||||
sum += ac*real(z) + as*imag(z)
|
||||
dsum += dxdt*(dac*real(z)+das*imag(z)) + nr[n]*(as*real(z)-ac*imag(z))
|
||||
}
|
||||
} else {
|
||||
for j, n := range co.nodes0 {
|
||||
z := node[n]
|
||||
sum += float64(f0[2*j])*real(z) + float64(f0[2*j+1])*imag(z)
|
||||
}
|
||||
pos := 0
|
||||
for j, e := range co.envH {
|
||||
z := node[co.nodesH[j]]
|
||||
var ac, as float64
|
||||
for d := 0; d <= int(e); d++ {
|
||||
ac += env[d] * float64(co.coefH[pos])
|
||||
as += env[d] * float64(co.coefH[pos+1])
|
||||
pos += 2
|
||||
}
|
||||
sum += ac*real(z) + as*imag(z)
|
||||
}
|
||||
}
|
||||
v[c], dv[c] = sum, dsum
|
||||
}
|
||||
lon := v[0]*arcsec + phase(&m.lonPoly, t, tLow) + dc[0]
|
||||
lat := v[1] * arcsec
|
||||
rad := v[2]
|
||||
sl, cl := math.Sincos(lon)
|
||||
sb, cb := math.Sincos(lat)
|
||||
x0, y0, z0 := rad*cb*cl, rad*cb*sl, rad*sb
|
||||
p := poly(&m.p, t) * t
|
||||
q := poly(&m.q, t) * t
|
||||
ra := 2 * math.Sqrt(1-p*p-q*q)
|
||||
pos = [3]float64{
|
||||
(1-2*p*p)*x0 + 2*p*q*y0 + p*ra*z0,
|
||||
2*p*q*x0 + (1-2*q*q)*y0 - q*ra*z0,
|
||||
-p*ra*x0 + q*ra*y0 + (1-2*p*p-2*q*q)*z0,
|
||||
}
|
||||
if !wantVel {
|
||||
return pos, vel
|
||||
}
|
||||
dlon := dv[0]*arcsec + dpoly(&m.lonPoly, t) + ddc[0]
|
||||
dlat := dv[1] * arcsec
|
||||
drad := dv[2]
|
||||
// 球坐标 → 直角坐标的时间导数
|
||||
dx0 := drad*cb*cl - rad*sb*cl*dlat - rad*cb*sl*dlon
|
||||
dy0 := drad*cb*sl - rad*sb*sl*dlat + rad*cb*cl*dlon
|
||||
dz0 := drad*sb + rad*cb*dlat
|
||||
// 历元黄道 → J2000 旋转矩阵本身随 P、Q 变化
|
||||
dp := dpoly(&m.p, t)*t + poly(&m.p, t)
|
||||
dq := dpoly(&m.q, t)*t + poly(&m.q, t)
|
||||
dra := -4 * (p*dp + q*dq) / ra
|
||||
dpq := 2 * (dp*q + p*dq)
|
||||
vel = [3]float64{
|
||||
(1-2*p*p)*dx0 + 2*p*q*dy0 + p*ra*dz0 +
|
||||
-4*p*dp*x0 + dpq*y0 + (dp*ra+p*dra)*z0,
|
||||
2*p*q*dx0 + (1-2*q*q)*dy0 - q*ra*dz0 +
|
||||
dpq*x0 - 4*q*dq*y0 - (dq*ra+q*dra)*z0,
|
||||
-p*ra*dx0 + q*ra*dy0 + (1-2*p*p-2*q*q)*dz0 +
|
||||
-(dp*ra+p*dra)*x0 + (dq*ra+q*dra)*y0 - 4*(p*dp+q*dq)*z0,
|
||||
}
|
||||
for i := range vel {
|
||||
vel[i] /= century
|
||||
}
|
||||
return pos, vel
|
||||
}
|
||||
|
||||
// interleave 把按阶数分块（每阶先 cos 块后 sin 块）的系数重排为逐项 [d0cos,d0sin,d1cos,…]。
|
||||
func interleave(env []uint8, raw []float32) []float32 {
|
||||
out := make([]float32, len(raw))
|
||||
start := make([]int, len(env))
|
||||
for j := 1; j < len(env); j++ {
|
||||
start[j] = start[j-1] + 2*(int(env[j-1])+1)
|
||||
}
|
||||
pos := 0
|
||||
for d := 0; ; d++ {
|
||||
var idx []int
|
||||
for j, e := range env {
|
||||
if int(e) >= d {
|
||||
idx = append(idx, j)
|
||||
}
|
||||
}
|
||||
if len(idx) == 0 {
|
||||
break
|
||||
}
|
||||
for n, j := range idx {
|
||||
out[start[j]+2*d] = raw[pos+n]
|
||||
out[start[j]+2*d+1] = raw[pos+len(idx)+n]
|
||||
}
|
||||
pos += 2 * len(idx)
|
||||
}
|
||||
return out
|
||||
}
|
||||
@@ -0,0 +1,115 @@
|
||||
// 被测契约：内置表与参考向量一致（< 0.1 m），解析速度与差分一致，可并发求值。
|
||||
package lunar
|
||||
|
||||
import (
|
||||
"bufio"
|
||||
"math"
|
||||
"os"
|
||||
"strconv"
|
||||
"strings"
|
||||
"sync"
|
||||
"testing"
|
||||
)
|
||||
|
||||
func sq(x float64) float64 { return x * x }
|
||||
|
||||
func TestMatchesReferenceVectors(t *testing.T) { checkVectors(t, Default(), "testdata/vectors.csv") }
|
||||
|
||||
func TestFastMatchesReferenceVectors(t *testing.T) { checkVectors(t, Fast(), "testdata/fast.csv") }
|
||||
|
||||
func checkVectors(t *testing.T, m *Model, path string) {
|
||||
f, err := os.Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer f.Close()
|
||||
sc := bufio.NewScanner(f)
|
||||
n, worst := 0, 0.0
|
||||
for sc.Scan() {
|
||||
parts := strings.Split(sc.Text(), ",")
|
||||
var v [4]float64
|
||||
for i := range v {
|
||||
if v[i], err = strconv.ParseFloat(parts[i], 64); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
}
|
||||
got := m.PositionJ2000(v[0])
|
||||
if d := math.Sqrt(sq(got[0]-v[1]) + sq(got[1]-v[2]) + sq(got[2]-v[3])); d > worst {
|
||||
worst = d
|
||||
}
|
||||
n++
|
||||
}
|
||||
if n < 40 {
|
||||
t.Fatalf("only %d vectors", n)
|
||||
}
|
||||
if worst > 1e-4 {
|
||||
t.Fatalf("max diff %.3e km over %d vectors", worst, n)
|
||||
}
|
||||
}
|
||||
|
||||
func TestVelocityMatchesFiniteDifference(t *testing.T) {
|
||||
m := Default()
|
||||
const h = 0.05
|
||||
worst := 0.0
|
||||
for _, jd := range []float64{990545.5, 1500000.25, 2299160.5, 2451545.0, 2460676.5, 2816787.5, 3912545.0} {
|
||||
p, v := m.PositionVelocityJ2000(jd)
|
||||
if q := m.PositionJ2000(jd); q != p {
|
||||
t.Fatalf("jd=%.1f position mismatch", jd)
|
||||
}
|
||||
a, b := m.PositionJ2000(jd+h), m.PositionJ2000(jd-h)
|
||||
a2, b2 := m.PositionJ2000(jd+2*h), m.PositionJ2000(jd-2*h)
|
||||
for i := range v {
|
||||
fd := (8*(a[i]-b[i]) - (a2[i] - b2[i])) / (12 * h)
|
||||
if d := math.Abs(fd - v[i]); d > worst {
|
||||
worst = d
|
||||
}
|
||||
}
|
||||
}
|
||||
if worst > 2e-3 {
|
||||
t.Fatalf("max velocity diff %.3e km/day", worst)
|
||||
}
|
||||
}
|
||||
|
||||
func TestParseRejectsTruncated(t *testing.T) {
|
||||
for _, n := range []int{0, 3, 5, 40, len(defaultTable) / 2, len(defaultTable) - 1} {
|
||||
if _, err := Parse(defaultTable[:n]); err == nil {
|
||||
t.Errorf("len %d: expected error", n)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestConcurrentEvaluation(t *testing.T) {
|
||||
m := Default()
|
||||
const n = 64
|
||||
var want [n][3]float64
|
||||
for i := range want {
|
||||
want[i] = m.PositionJ2000(2451545.0 + float64(i)*13.7)
|
||||
}
|
||||
var wg sync.WaitGroup
|
||||
var bad [8]bool
|
||||
for g := 0; g < 8; g++ {
|
||||
wg.Add(1)
|
||||
go func(g int) {
|
||||
defer wg.Done()
|
||||
for k := 0; k < n; k++ {
|
||||
i := (k + g*7) % n
|
||||
if m.PositionJ2000(2451545.0+float64(i)*13.7) != want[i] {
|
||||
bad[g] = true
|
||||
}
|
||||
}
|
||||
}(g)
|
||||
}
|
||||
wg.Wait()
|
||||
for g, b := range bad {
|
||||
if b {
|
||||
t.Fatalf("goroutine %d saw a mismatch", g)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func BenchmarkPositionJ2000(b *testing.B) {
|
||||
m := Default()
|
||||
for i := 0; i < b.N; i++ {
|
||||
_ = m.PositionJ2000(2460000.5 + float64(i%10000)*0.37)
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,51 @@
|
||||
-1931455,-263046.57528520969,297684.18718319025,-24345.864066160168
|
||||
-1785355,24378.534686367391,-400825.36392118747,-44672.568525917093
|
||||
-1639255,221175.99144970218,325206.96587989992,-14472.844556519216
|
||||
-1493155,-319978.52720147866,-179819.4818149425,-7729.6582925465245
|
||||
-1347055,362622.46972198499,20286.814075592443,4137.3575503146285
|
||||
-1200955,-346235.18691354321,185914.73322113504,30174.27456151383
|
||||
-1054855,171052.68131930399,-366289.65810158779,26232.886379638556
|
||||
-908755,98623.637690714822,376297.77810421737,40802.587272379009
|
||||
-762655,-253665.11515733672,-272838.23852057324,19911.166048921259
|
||||
-616555,335485.16883375292,146456.59956479297,14870.504114287725
|
||||
-470455,-383645.40573639271,65997.21790989369,-826.92611041679697
|
||||
-324355,276927.4702533714,-295829.19680496032,-30322.013752343068
|
||||
-178255,-26435.785915690412,386079.73800098576,-28015.326875332928
|
||||
-32155,-173562.98376470321,-327340.8539868113,-37468.408479997677
|
||||
113945,284098.82846766489,239256.46597111417,-25343.748850755001
|
||||
260045,-385157.83176014025,-49369.527013191553,-15281.761574469898
|
||||
406145,345160.97807879257,-214636.8383361497,3414.5771813550259
|
||||
552245,-134108.10483846199,361980.9990905014,29968.389469456466
|
||||
698345,-83984.239959958926,-355799.14247223095,28817.078112816904
|
||||
844445,223226.00566205085,299354.17357796693,36909.979945451472
|
||||
990545,-362607.45994305814,-147502.75304507115,28081.953043893249
|
||||
1136645,383606.60880971845,-132531.90493783797,8832.002235690501
|
||||
1282745,-216360.67463345666,321769.59784516064,-8957.0037364521304
|
||||
1428845,7433.8731166889338,-359577.9208704764,-27286.722728085369
|
||||
1574945,157042.40898349817,338967.54339773324,-30844.406074648126
|
||||
1721045,-328371.10510008538,-221529.93877308263,-36739.865212875557
|
||||
1867145,400234.08615918033,-57984.149689135251,-23513.254374541601
|
||||
2013245,-274021.09564645251,273929.27390877635,-2133.8352285152291
|
||||
2159345,92791.766991493409,-345234.67832922813,12342.071461675338
|
||||
2305445,88338.286030037401,363169.93015197461,26462.650120618968
|
||||
2451545,-291607.24183591013,-274978.62186731066,36267.30787189916
|
||||
2597645,401391.47803711233,3266.8554273079903,31443.354743021413
|
||||
2743745,-312245.28483573761,223268.80530781401,14449.195688692611
|
||||
2889845,167261.68852763134,-317547.01628260425,854.67113282198795
|
||||
3035945,22710.051466743793,377536.27831278293,-18254.778814458063
|
||||
3182045,-258568.79979545044,-310953.08002426871,-31511.794215090176
|
||||
3328145,391597.73715416581,50492.738155701489,-35663.250569429547
|
||||
3474245,-336640.78667349386,169381.01759883287,-24138.799220522917
|
||||
3620345,229894.62683911348,-283245.2596621954,-10124.478719948
|
||||
3766445,-30725.076385326527,386554.31412064168,4630.937622600225
|
||||
3912545,-232347.00044598628,-331529.30967142241,31692.736681196671
|
||||
4058645,373153.27734119527,88709.654120304229,33189.966274715975
|
||||
4204745,-352665.5780016224,110675.94346091514,29168.298060724752
|
||||
4350845,279862.12418001605,-250761.84026383076,22491.093918623097
|
||||
4496945,-63300.801294757643,393827.49900787073,-4549.380602734378
|
||||
4643045,-211639.87281130059,-339806.65624159103,-18216.154066961921
|
||||
4789145,345869.06789046078,125142.00856319141,-35847.90651925862
|
||||
4935245,-365917.02341126435,47072.64876266574,-31135.795917215175
|
||||
5081345,313235.01489341311,-233557.38203767358,-25005.730334995031
|
||||
5227445,-71563.036314018507,398823.35837659024,-9633.2749911986139
|
||||
5373545,-186164.91514019907,-338423.50248531549,24637.566759055353
|
||||
|
@@ -0,0 +1,51 @@
|
||||
-1931455,-263012.14372776932,297721.55430688168,-24324.987254599062
|
||||
-1785355,24414.613429926769,-400822.30277713871,-44670.197726442522
|
||||
-1639255,221200.37674641001,325184.92725227826,-14474.943560636351
|
||||
-1493155,-319973.35559277143,-179836.67922932078,-7722.0931910639329
|
||||
-1347055,362620.6275818554,20261.340424064758,4158.7475902214901
|
||||
-1200955,-346245.11238489667,185898.25815803016,30163.905893696552
|
||||
-1054855,171029.90424524632,-366296.60906562442,26231.502494924491
|
||||
-908755,98585.018472548079,376301.83738717507,40804.120474682692
|
||||
-762655,-253673.35964539216,-272828.69776402361,19905.706493336733
|
||||
-616555,335481.25258198346,146459.68939852307,14858.106694331284
|
||||
-470455,-383647.05975822004,66013.008896738858,-829.53397079068804
|
||||
-324355,276926.62049089983,-295829.60577838111,-30320.482347503283
|
||||
-178255,-26445.54739251201,386080.83489992673,-28013.881581822534
|
||||
-32155,-173564.14468521808,-327344.00872558804,-37468.46077107366
|
||||
113945,284090.35252503335,239265.58618684916,-25343.650846110519
|
||||
260045,-385159.51631046517,-49348.816915762458,-15277.391684530896
|
||||
406145,345165.46504725312,-214639.96530993938,3409.4271382105871
|
||||
552245,-134100.72888107621,361985.48449367564,29978.850367708317
|
||||
698345,-83982.342926013938,-355811.46501246258,28808.215852912752
|
||||
844445,223235.08660139333,299351.08166803332,36915.189665281585
|
||||
990545,-362602.7882248871,-147511.51703076772,28082.07356267815
|
||||
1136645,383604.91929247783,-132547.95810837013,8838.4387429826493
|
||||
1282745,-216364.57090490102,321764.38059364131,-8961.5757619206961
|
||||
1428845,7411.8790805348717,-359585.32555476134,-27293.192427568905
|
||||
1574945,157039.98810843128,338969.64958912093,-30843.917066599242
|
||||
1721045,-328370.6008870838,-221528.04782516821,-36744.16639076647
|
||||
1867145,400234.16277750907,-57976.122899650822,-23521.520092170747
|
||||
2013245,-274016.4330496171,273934.67297238286,-2129.3720209763578
|
||||
2159345,92794.113822126208,-345233.42375816189,12336.461166121979
|
||||
2305445,88335.023380869083,363166.75449031434,26461.650624866372
|
||||
2451545,-291608.37627978966,-274979.69324404577,36271.128877822775
|
||||
2597645,401391.20135964605,3263.1459841862388,31451.825037924391
|
||||
2743745,-312251.31017224718,223260.77557797215,14444.457253400202
|
||||
2889845,167249.48724887962,-317556.36523747904,861.57897404768664
|
||||
3035945,22695.663788870559,377539.04920572782,-18246.340165569305
|
||||
3182045,-258575.29689052334,-310947.48117673211,-31511.022415741383
|
||||
3328145,391596.12233842851,50493.68541584225,-35666.970403817082
|
||||
3474245,-336640.9610806547,169391.52518719292,-24128.503619066782
|
||||
3620345,229900.52348247898,-283241.08259236073,-10118.936107852864
|
||||
3766445,-30703.555025148959,386554.4143357625,4624.3092540068592
|
||||
3912545,-232340.39127966101,-331532.73305540072,31692.97586258821
|
||||
4058645,373158.78561370028,88690.555206671619,33189.3675445954
|
||||
4204745,-352676.95412928553,110654.5265917302,29168.430885959289
|
||||
4350845,279850.74386479775,-250759.61582796593,22465.457479309545
|
||||
4496945,-63304.248176228684,393828.06630098209,-4545.7108401102751
|
||||
4643045,-211635.86742416851,-339798.65198398969,-18217.631416908665
|
||||
4789145,345881.5840039468,125117.11976231023,-35854.923632790691
|
||||
4935245,-365925.61155116902,47053.327116662622,-31140.397995070532
|
||||
5081345,313238.78055125696,-233551.4275320005,-25002.984985012321
|
||||
5227445,-71571.816487501972,398827.95987496921,-9638.4140099458273
|
||||
5373545,-186177.32558991387,-338413.93355647428,24655.523094058852
|
||||
|
@@ -0,0 +1,154 @@
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"math"
|
||||
"sync"
|
||||
|
||||
"b612.me/astro/internal/ltp"
|
||||
"b612.me/astro/planet/internal/semianalytic/lunar"
|
||||
"b612.me/astro/planet/internal/semianalytic/planets"
|
||||
"b612.me/astro/tools"
|
||||
)
|
||||
|
||||
const (
|
||||
auKM = 149597870.7
|
||||
earthSlot = 0
|
||||
moonSlot = 8
|
||||
fastBase = 9
|
||||
)
|
||||
|
||||
var sinEps0, cosEps0 = math.Sincos(eps0)
|
||||
|
||||
// xt 1..7 对应的表内天体号。
|
||||
var bodyID = [8]int{0, planets.Mercury, planets.Venus, planets.Mars, planets.Jupiter, planets.Saturn, planets.Uranus, planets.Neptune}
|
||||
|
||||
type lbr struct{ jd, l, b, r float64 }
|
||||
|
||||
type lbrSlot struct {
|
||||
v lbr
|
||||
set bool
|
||||
}
|
||||
|
||||
// L、B、R 通常在同一时刻连续取用，每个天体每档缓存最近一次的结果；0..8 全表，9..17 快速档。
|
||||
var (
|
||||
cacheMu sync.RWMutex
|
||||
cache [18]lbrSlot
|
||||
)
|
||||
|
||||
// tier n < 0 用全表，n ≥ 0 用快速档；新模型的快速档不随 n 细分。
|
||||
func tier(n int) (*planets.Model, *lunar.Model, int) {
|
||||
if n < 0 {
|
||||
return planets.Default(), lunar.Default(), 0
|
||||
}
|
||||
return planets.Fast(), lunar.Fast(), fastBase
|
||||
}
|
||||
|
||||
func cached(slot int, jd float64) (lbr, bool) {
|
||||
cacheMu.RLock()
|
||||
c := cache[slot]
|
||||
cacheMu.RUnlock()
|
||||
if c.set && c.v.jd == jd {
|
||||
return c.v, true
|
||||
}
|
||||
return lbr{}, false
|
||||
}
|
||||
|
||||
func store(slot int, jd float64, v [3]float64) lbr {
|
||||
l, b, r := ofDate(v, jd)
|
||||
c := lbr{jd, l, b, r}
|
||||
cacheMu.Lock()
|
||||
cache[slot] = lbrSlot{v: c, set: true}
|
||||
cacheMu.Unlock()
|
||||
return c
|
||||
}
|
||||
|
||||
type moonVec struct {
|
||||
jd float64
|
||||
p [3]float64
|
||||
set bool
|
||||
}
|
||||
|
||||
// 地球合成与月球本身在同一时刻都要月球向量，按档缓存最近一次。
|
||||
var (
|
||||
moonVecMu sync.RWMutex
|
||||
moonVecCache [2]moonVec
|
||||
)
|
||||
|
||||
func moonJ2000(lm *lunar.Model, slot int, jde float64) [3]float64 {
|
||||
moonVecMu.RLock()
|
||||
c := moonVecCache[slot]
|
||||
moonVecMu.RUnlock()
|
||||
if c.set && c.jd == jde {
|
||||
return c.p
|
||||
}
|
||||
p := lm.PositionJ2000(jde)
|
||||
moonVecMu.Lock()
|
||||
moonVecCache[slot] = moonVec{jd: jde, p: p, set: true}
|
||||
moonVecMu.Unlock()
|
||||
return p
|
||||
}
|
||||
|
||||
// ofDate J2000 平黄道向量 → 历元平黄道经纬（弧度，经度在 [0, 2π)）与模长。
|
||||
func ofDate(v [3]float64, jde float64) (l, b, r float64) {
|
||||
q0, q1, q2 := v[0], v[1]*cosEps0-v[2]*sinEps0, v[1]*sinEps0+v[2]*cosEps0
|
||||
x, y, z := ltp.EclipticBasis(2000 + (jde-2451545)/365.25)
|
||||
ex := x[0]*q0 + x[1]*q1 + x[2]*q2
|
||||
ey := y[0]*q0 + y[1]*q1 + y[2]*q2
|
||||
ez := z[0]*q0 + z[1]*q1 + z[2]*q2
|
||||
l = math.Atan2(ey, ex)
|
||||
if l < 0 {
|
||||
l += 2 * math.Pi
|
||||
}
|
||||
return l, math.Atan2(ez, math.Hypot(ex, ey)), math.Sqrt(ex*ex + ey*ey + ez*ez)
|
||||
}
|
||||
|
||||
// Planet 与 planet.WherePlanetN 同语义（xt 取 -1..7，zn 取 0..2），调用方负责越界检查 / same contract as planet.WherePlanetN.
|
||||
func Planet(xt, zn int, jde float64, n int) float64 {
|
||||
pm, lm, base := tier(n)
|
||||
slot := base + earthSlot
|
||||
if xt > 0 {
|
||||
slot = base + xt
|
||||
}
|
||||
c, ok := cached(slot, jde)
|
||||
if !ok {
|
||||
var p [3]float64
|
||||
if xt <= 0 {
|
||||
emb, _ := pm.Heliocentric(planets.EMB, jde)
|
||||
p = planets.EarthFromEMB(emb, moonJ2000(lm, base/fastBase, jde))
|
||||
} else {
|
||||
p, _ = pm.Heliocentric(bodyID[xt], jde)
|
||||
}
|
||||
c = store(slot, jde, p)
|
||||
}
|
||||
switch zn {
|
||||
case 0:
|
||||
l := c.l * 180 / math.Pi
|
||||
if xt == 0 {
|
||||
l += 180
|
||||
}
|
||||
return tools.Limit360(l)
|
||||
case 1:
|
||||
if xt == 0 {
|
||||
return -c.b * 180 / math.Pi
|
||||
}
|
||||
return c.b * 180 / math.Pi
|
||||
}
|
||||
return c.r / auKM
|
||||
}
|
||||
|
||||
// Moon 地心月球历元平黄道：coord 0 黄经、1 黄纬（弧度）、2 距离（km），n ≥ 0 用快速档，调用方负责越界检查 / geocentric Moon of date.
|
||||
func Moon(coord int, jde float64, n int) float64 {
|
||||
_, lm, base := tier(n)
|
||||
slot := base + moonSlot
|
||||
c, ok := cached(slot, jde)
|
||||
if !ok {
|
||||
c = store(slot, jde, moonJ2000(lm, base/fastBase, jde))
|
||||
}
|
||||
switch coord {
|
||||
case 0:
|
||||
return c.l
|
||||
case 1:
|
||||
return c.b
|
||||
}
|
||||
return c.r
|
||||
}
|
||||
@@ -0,0 +1,67 @@
|
||||
package planets
|
||||
|
||||
import (
|
||||
_ "embed"
|
||||
"sync"
|
||||
)
|
||||
|
||||
// 现代段为 J2000 ± 1000 儒略年。
|
||||
const (
|
||||
ModernStart = 2086295.0
|
||||
ModernEnd = 2816795.0
|
||||
)
|
||||
|
||||
var (
|
||||
//go:embed long.bin
|
||||
longTable []byte
|
||||
//go:embed modern.bin
|
||||
modernTable []byte
|
||||
)
|
||||
|
||||
var (
|
||||
defaultOnce sync.Once
|
||||
defaultModel *Model
|
||||
)
|
||||
|
||||
// Default 内置长时段表叠加现代段，首次调用时解析 / built-in long-range plus modern tables, parsed on first use.
|
||||
func Default() *Model {
|
||||
defaultOnce.Do(func() {
|
||||
m, err := Parse(longTable)
|
||||
if err == nil {
|
||||
err = m.WithModernSegment(modernTable, ModernStart, ModernEnd)
|
||||
}
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
defaultModel = m
|
||||
})
|
||||
return defaultModel
|
||||
}
|
||||
|
||||
// GM 天体号 1..8 的 GM 与太阳 GM，au³/日²；EMB 为地月合计，越界返回 0 / GM of body id and of the Sun, au³/day².
|
||||
func GM(id int) (body, sun float64) {
|
||||
if id < 1 || id > 8 {
|
||||
return 0, gmSol
|
||||
}
|
||||
return gmp[id-1], gmSol
|
||||
}
|
||||
|
||||
//go:embed fast.bin
|
||||
var fastTable []byte
|
||||
|
||||
var (
|
||||
fastOnce sync.Once
|
||||
fastModel *Model
|
||||
)
|
||||
|
||||
// Fast 快速档表（n ≥ 0 用），首次调用时解析 / the fast-tier table used for n ≥ 0, parsed on first use.
|
||||
func Fast() *Model {
|
||||
fastOnce.Do(func() {
|
||||
m, err := Parse(fastTable)
|
||||
if err != nil {
|
||||
panic(err)
|
||||
}
|
||||
fastModel = m
|
||||
})
|
||||
return fastModel
|
||||
}
|
||||
Binary file not shown.
Binary file not shown.
Binary file not shown.
@@ -0,0 +1,610 @@
|
||||
// Package planets 行星半解析级数运行时（PLN1/PLN2/PLN3 表，日心，J2000 平黄道）。
|
||||
package planets
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
"math"
|
||||
"sync"
|
||||
)
|
||||
|
||||
const (
|
||||
j2000 = 2451545.0
|
||||
millennium = 365250.0
|
||||
blendDays = 36525.0
|
||||
auKM = 149597870.691
|
||||
tMid = -2.0
|
||||
tHalf = 10.0
|
||||
emrat = 81.3005682214972
|
||||
gmSol = 2.9591220836841438269e-04
|
||||
maxDeg = 24
|
||||
)
|
||||
|
||||
// Body 编号 / body id；3 为地月质心。
|
||||
const (
|
||||
Mercury = 1
|
||||
Venus = 2
|
||||
EMB = 3
|
||||
Mars = 4
|
||||
Jupiter = 5
|
||||
Saturn = 6
|
||||
Uranus = 7
|
||||
Neptune = 8
|
||||
)
|
||||
|
||||
var ci0 = [17]float64{4.402608631669, 3.176134461576, 1.753470369433, 6.203500014141, 4.091360003050,
|
||||
1.713740719173, 5.598641292287, 2.805136360408, 2.326989734620, 0.5995461070350,
|
||||
0.8740185101070, 5.481225395663, 5.311897933164, 0.0, 5.19846640063,
|
||||
1.62790513602, 2.35555563875}
|
||||
|
||||
var ci1 = [17]float64{26087.90314068555, 10213.28554743445, 6283.075850353215, 3340.612434145457,
|
||||
1731.170452721855, 1704.450855027201, 1428.948917844273, 1364.756513629990,
|
||||
1361.923207632842, 529.6909615623250, 213.2990861084880, 74.78165903077800,
|
||||
38.13297222612500, 0.3595362285049309, 77713.7714481804, 84334.6615717837,
|
||||
83286.9142477147}
|
||||
|
||||
var gmp = [8]float64{4.9125474514508118699e-11, 7.2434524861627027000e-10, 8.9970116036316091182e-10,
|
||||
9.5495351057792580598e-11, 2.8253458420837780000e-07, 8.4597151856806587398e-08,
|
||||
1.2920249167819693900e-08, 1.5243589007842762800e-08}
|
||||
|
||||
// topDMu 必须逐步按 float64 舍入（与 Python 参考求值一致），不能写成常量表达式。
|
||||
var topDMu = func() float64 {
|
||||
f0, f1, d := 529.6909622785881, 213.2990811942489, 880.0
|
||||
return (f0 - f1) / d
|
||||
}()
|
||||
|
||||
// skyToVSOP skyfield ecliptic_J2000 → VSOP2013 动力学黄道；求值时用其转置。
|
||||
var skyToVSOP = func() [3][3]float64 {
|
||||
as := 180 / math.Pi * 3600
|
||||
return mul(transpose(mul(rz(-0.05188/as), rx(84381.41136/as))), rx(84381.448/as))
|
||||
}()
|
||||
|
||||
// element 的项按包络阶降序排列，第 d 阶只覆盖前 cnt[d] 项。
|
||||
type element struct {
|
||||
secular []float64
|
||||
arg []int32
|
||||
cnt []int
|
||||
c, s [][]float64
|
||||
}
|
||||
|
||||
const (
|
||||
maxKeys = 8192
|
||||
maxTab = 512
|
||||
topBits = 6
|
||||
// 超出此值的幅角乘数必然撑破幂表，先在 int64 下拒绝，保证转 int 不溢出。
|
||||
maxKeyAbs = maxTab << (2 * topBits)
|
||||
)
|
||||
|
||||
var errBadKey = errors.New("planets: argument multiplier out of range")
|
||||
|
||||
// factor 幂表槽位；neg 表示取共轭。
|
||||
type factor struct {
|
||||
slot int32
|
||||
neg bool
|
||||
}
|
||||
|
||||
type body struct {
|
||||
top bool
|
||||
f, l0 float64
|
||||
rgm float64
|
||||
// 幂表：VSOP 每个基本幅角一段，TOP 每个 6 位数字层一段
|
||||
tabMax [17]int
|
||||
tabOff [17]int
|
||||
keyOff []int32
|
||||
factors []factor
|
||||
keyNeg []bool
|
||||
el [6]element
|
||||
// legDeg 长期项与包络用到的最高 Legendre 阶。
|
||||
legDeg int
|
||||
}
|
||||
|
||||
// Model 已解析的 PLN1 表，只读、可并发求值 / parsed PLN1 table, safe for concurrent use.
|
||||
type Model struct {
|
||||
bodies [9]*body
|
||||
modernBodies [9]*body
|
||||
modernStart float64
|
||||
modernEnd float64
|
||||
}
|
||||
|
||||
type reader struct {
|
||||
b []byte
|
||||
p int
|
||||
err error
|
||||
}
|
||||
|
||||
func (r *reader) take(n int) []byte {
|
||||
if r.err != nil || r.p+n > len(r.b) {
|
||||
r.err = errors.New("planets: truncated table")
|
||||
return make([]byte, n)
|
||||
}
|
||||
s := r.b[r.p : r.p+n]
|
||||
r.p += n
|
||||
return s
|
||||
}
|
||||
|
||||
func (r *reader) u8() uint8 { return r.take(1)[0] }
|
||||
func (r *reader) f64() float64 { return math.Float64frombits(binary.LittleEndian.Uint64(r.take(8))) }
|
||||
func (r *reader) f32() float32 { return math.Float32frombits(binary.LittleEndian.Uint32(r.take(4))) }
|
||||
|
||||
func (r *reader) uvar() uint64 {
|
||||
n, shift := uint64(0), uint(0)
|
||||
for {
|
||||
c := r.u8()
|
||||
n |= uint64(c&0x7F) << shift
|
||||
shift += 7
|
||||
if c < 0x80 || r.err != nil || shift > 56 {
|
||||
return n
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func (r *reader) zvar() int64 {
|
||||
z := r.uvar()
|
||||
if z%2 == 0 {
|
||||
return int64(z >> 1)
|
||||
}
|
||||
return -int64(z>>1) - 1
|
||||
}
|
||||
|
||||
// Parse 解析 PLN1 表 / parse a PLN1 table.
|
||||
func Parse(b []byte) (*Model, error) {
|
||||
bodies, err := parseBodies(b)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return &Model{bodies: bodies}, nil
|
||||
}
|
||||
|
||||
// WithModernSegment 为长时段表叠加现代段表，[jdStart, jdEnd] 内优先使用 / add a modern-era segment used inside [jdStart, jdEnd].
|
||||
func (m *Model) WithModernSegment(b []byte, jdStart, jdEnd float64) error {
|
||||
bodies, err := parseBodies(b)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
m.modernBodies, m.modernStart, m.modernEnd = bodies, jdStart, jdEnd
|
||||
return nil
|
||||
}
|
||||
|
||||
func parseBodies(b []byte) (bodies [9]*body, err error) {
|
||||
r := &reader{b: b}
|
||||
magic := string(r.take(4))
|
||||
if magic != "PLN1" && magic != "PLN2" && magic != "PLN3" {
|
||||
return bodies, errors.New("planets: bad magic")
|
||||
}
|
||||
quant, packed := magic == "PLN2", magic == "PLN3"
|
||||
for n := int(r.u8()); n > 0 && r.err == nil; n-- {
|
||||
id := int(r.u8())
|
||||
if id < 1 || id > 8 {
|
||||
return bodies, errors.New("planets: bad body id")
|
||||
}
|
||||
bd := &body{top: r.u8() != 0}
|
||||
secDeg := int(r.u8())
|
||||
bd.f, bd.l0 = r.f64(), r.f64()
|
||||
bd.rgm = math.Sqrt(gmp[id-1] + gmSol)
|
||||
nk := r.uvar()
|
||||
if nk > maxKeys {
|
||||
return bodies, errors.New("planets: too many arguments")
|
||||
}
|
||||
if err := readKeys(r, bd, int(nk)); err != nil {
|
||||
return bodies, err
|
||||
}
|
||||
bd.legDeg = secDeg
|
||||
sortedArgs := packed && r.u8() != 0
|
||||
for v := range bd.el {
|
||||
var err error
|
||||
if packed {
|
||||
err = readElement3(r, &bd.el[v], secDeg, int(nk), sortedArgs)
|
||||
} else {
|
||||
err = readElement(r, &bd.el[v], secDeg, int(nk), quant)
|
||||
}
|
||||
if err != nil {
|
||||
return bodies, err
|
||||
}
|
||||
if d := len(bd.el[v].cnt) - 1; d > bd.legDeg {
|
||||
bd.legDeg = d
|
||||
}
|
||||
}
|
||||
bodies[id] = bd
|
||||
}
|
||||
if r.err != nil {
|
||||
return bodies, r.err
|
||||
}
|
||||
if r.p != len(b) {
|
||||
return bodies, errors.New("planets: trailing bytes")
|
||||
}
|
||||
return bodies, nil
|
||||
}
|
||||
|
||||
// readKeys 把整数幅角拆成幂表槽位：VSOP 按基本幅角升序，TOP 按 6 位数字层由低到高。
|
||||
func readKeys(r *reader, bd *body, nk int) error {
|
||||
type raw struct{ fund, k int }
|
||||
keys := make([][]raw, nk)
|
||||
bd.keyNeg = make([]bool, nk)
|
||||
for j := 0; j < nk && r.err == nil; j++ {
|
||||
if bd.top {
|
||||
k := r.zvar()
|
||||
if k > maxKeyAbs || k < -maxKeyAbs {
|
||||
return errBadKey
|
||||
}
|
||||
a := int(k)
|
||||
if a < 0 {
|
||||
a, bd.keyNeg[j] = -a, true
|
||||
}
|
||||
for lvl := 0; lvl < 3; lvl++ {
|
||||
d := a >> uint(topBits*lvl)
|
||||
if lvl < 2 {
|
||||
d &= 1<<topBits - 1
|
||||
}
|
||||
keys[j] = append(keys[j], raw{lvl, d})
|
||||
}
|
||||
continue
|
||||
}
|
||||
mb := r.take(3)
|
||||
mask := int(mb[0]) | int(mb[1])<<8 | int(mb[2])<<16
|
||||
for i := 0; i < 17; i++ {
|
||||
if mask>>uint(i)&1 != 0 {
|
||||
k := r.zvar()
|
||||
if k > maxKeyAbs || k < -maxKeyAbs {
|
||||
return errBadKey
|
||||
}
|
||||
keys[j] = append(keys[j], raw{i, int(k)})
|
||||
}
|
||||
}
|
||||
}
|
||||
if r.err != nil {
|
||||
return r.err
|
||||
}
|
||||
for _, ks := range keys {
|
||||
for _, f := range ks {
|
||||
a := f.k
|
||||
if a < 0 {
|
||||
a = -a
|
||||
}
|
||||
if a > bd.tabMax[f.fund] {
|
||||
bd.tabMax[f.fund] = a
|
||||
}
|
||||
}
|
||||
}
|
||||
n := 0
|
||||
for i := range bd.tabMax {
|
||||
bd.tabOff[i] = n
|
||||
if bd.tabMax[i] > 0 || (bd.top && i < 3) {
|
||||
n += bd.tabMax[i] + 1
|
||||
}
|
||||
}
|
||||
if n > maxTab {
|
||||
return errors.New("planets: power table too large")
|
||||
}
|
||||
bd.keyOff = make([]int32, nk+1)
|
||||
for j, ks := range keys {
|
||||
for _, f := range ks {
|
||||
a, neg := f.k, false
|
||||
if a < 0 {
|
||||
a, neg = -a, true
|
||||
}
|
||||
if !bd.top && a == 0 {
|
||||
continue
|
||||
}
|
||||
bd.factors = append(bd.factors, factor{int32(bd.tabOff[f.fund] + a), neg})
|
||||
}
|
||||
bd.keyOff[j+1] = int32(len(bd.factors))
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
// readElement 把文件里按包络阶分块的列序重排为逐项连续；quant 为 PLN2 整数量化系数。
|
||||
func readElement(r *reader, e *element, secDeg, nk int, quant bool) error {
|
||||
if secDeg > maxDeg {
|
||||
return errors.New("planets: secular degree too high")
|
||||
}
|
||||
n64 := r.uvar()
|
||||
if n64 > uint64(nk) {
|
||||
return errors.New("planets: too many terms")
|
||||
}
|
||||
nint := int(n64)
|
||||
e.secular = make([]float64, secDeg+1)
|
||||
for i := range e.secular {
|
||||
e.secular[i] = r.f64()
|
||||
}
|
||||
args, env := make([]int32, nint), make([]int, nint)
|
||||
top := 0
|
||||
for j := 0; j < nint; j++ {
|
||||
a := r.uvar()
|
||||
if a >= uint64(nk) {
|
||||
return errors.New("planets: argument index out of range")
|
||||
}
|
||||
args[j], env[j] = int32(a), int(r.u8())
|
||||
if env[j] > maxDeg {
|
||||
return errors.New("planets: envelope degree too high")
|
||||
}
|
||||
if env[j] > top {
|
||||
top = env[j]
|
||||
}
|
||||
}
|
||||
// 按包络阶降序的稳定排序：pos[j] 为文件第 j 项的新位置
|
||||
pos := make([]int, nint)
|
||||
e.arg = make([]int32, nint)
|
||||
k := 0
|
||||
for d := top; d >= 0; d-- {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] == d {
|
||||
pos[j], e.arg[k] = k, args[j]
|
||||
k++
|
||||
}
|
||||
}
|
||||
}
|
||||
coef := func() float64 { return float64(r.f32()) }
|
||||
if quant {
|
||||
step := r.f64()
|
||||
coef = func() float64 { return float64(r.zvar()) * step }
|
||||
}
|
||||
if nint == 0 {
|
||||
return r.err
|
||||
}
|
||||
e.cnt = make([]int, top+1)
|
||||
e.c, e.s = make([][]float64, top+1), make([][]float64, top+1)
|
||||
for d := 0; d <= top; d++ {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] >= d {
|
||||
e.cnt[d]++
|
||||
}
|
||||
}
|
||||
e.c[d], e.s[d] = make([]float64, e.cnt[d]), make([]float64, e.cnt[d])
|
||||
for _, dst := range [][]float64{e.c[d], e.s[d]} {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] >= d {
|
||||
dst[pos[j]] = coef()
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
return r.err
|
||||
}
|
||||
|
||||
// Heliocentric 日心位置，km，J2000 平黄道 / heliocentric position, km, mean ecliptic J2000.
|
||||
func (m *Model) Heliocentric(id int, jdTDB float64) ([3]float64, error) {
|
||||
pos, _, err := m.state(id, jdTDB, false)
|
||||
return pos, err
|
||||
}
|
||||
|
||||
// HeliocentricState 日心位置（km）与密切速度（km/日），J2000 平黄道 / heliocentric position and osculating velocity.
|
||||
func (m *Model) HeliocentricState(id int, jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
return m.state(id, jdTDB, true)
|
||||
}
|
||||
|
||||
// state wantVel 为 false 时 vel 不计算、恒为零。
|
||||
func (m *Model) state(id int, jdTDB float64, wantVel bool) (pos, vel [3]float64, err error) {
|
||||
if id < 1 || id > 8 {
|
||||
return pos, vel, errors.New("planets: body not in table")
|
||||
}
|
||||
bd := m.bodies[id]
|
||||
if bd == nil {
|
||||
return pos, vel, errors.New("planets: body not in table")
|
||||
}
|
||||
t := (jdTDB - j2000) / millennium
|
||||
md := m.modernBodies[id]
|
||||
sky := func(p, v [3]float64) ([3]float64, [3]float64, error) {
|
||||
if !wantVel {
|
||||
return toSky(p), v, nil
|
||||
}
|
||||
return toSky(p), toSky(v), nil
|
||||
}
|
||||
if md == nil || jdTDB <= m.modernStart || jdTDB >= m.modernEnd {
|
||||
p, v := bd.ellxyz(bd.elements(t), wantVel)
|
||||
return sky(p, v)
|
||||
}
|
||||
w, dw := m.modernWeight(jdTDB)
|
||||
pm, vm := md.ellxyz(md.elements(t), wantVel)
|
||||
if w == 1 {
|
||||
return sky(pm, vm)
|
||||
}
|
||||
pl, vl := bd.ellxyz(bd.elements(t), wantVel)
|
||||
for i := range pos {
|
||||
pos[i] = pl[i] + w*(pm[i]-pl[i])
|
||||
if wantVel {
|
||||
vel[i] = vl[i] + w*(vm[i]-vl[i]) + dw*(pm[i]-pl[i])
|
||||
}
|
||||
}
|
||||
return sky(pos, vel)
|
||||
}
|
||||
|
||||
// modernWeight 现代段权重及其对 JD 的导数；两端各 blendDays 内用 smoothstep 过渡，位置与速度均连续。
|
||||
func (m *Model) modernWeight(jd float64) (w, dw float64) {
|
||||
u, sign := (jd-m.modernStart)/blendDays, 1.0
|
||||
if e := (m.modernEnd - jd) / blendDays; e < u {
|
||||
u, sign = e, -1
|
||||
}
|
||||
if u >= 1 {
|
||||
return 1, 0
|
||||
}
|
||||
return u * u * (3 - 2*u), sign * 6 * u * (1 - u) / blendDays
|
||||
}
|
||||
|
||||
// toSky 动力学黄道 au → skyfield ecliptic_J2000 km。
|
||||
func toSky(p [3]float64) (out [3]float64) {
|
||||
for i := range out {
|
||||
out[i] = (skyToVSOP[0][i]*p[0] + skyToVSOP[1][i]*p[1] + skyToVSOP[2][i]*p[2]) * auKM
|
||||
}
|
||||
return out
|
||||
}
|
||||
|
||||
// cmul 显式转换阻止编译器融合乘加，保证与 Python 参考求值逐位一致。
|
||||
func cmul(ar, ai, br, bi float64) (float64, float64) {
|
||||
return float64(ar*br) - float64(ai*bi), float64(ar*bi) + float64(ai*br)
|
||||
}
|
||||
|
||||
// phasors 填充每个幅角的 (cos, sin)。
|
||||
// tc、ts 为倍角表工作区，只读取本次写入的槽位，复用时不必清零。
|
||||
func (bd *body) phasors(t float64, pc, ps, tc, ts []float64) {
|
||||
for i := range bd.tabMax {
|
||||
if bd.tabMax[i] == 0 && !(bd.top && i < 3) {
|
||||
continue
|
||||
}
|
||||
var s, c float64
|
||||
if bd.top {
|
||||
s, c = math.Sincos(topDMu * t * float64(int(1)<<uint(topBits*i)))
|
||||
} else {
|
||||
s, c = math.Sincos(ci0[i] + ci1[i]*t)
|
||||
}
|
||||
o := bd.tabOff[i]
|
||||
tc[o], ts[o] = 1, 0
|
||||
for j := 1; j <= bd.tabMax[i]; j++ {
|
||||
tc[o+j], ts[o+j] = cmul(tc[o+j-1], ts[o+j-1], c, s)
|
||||
}
|
||||
if bd.top && i == 2 {
|
||||
break
|
||||
}
|
||||
}
|
||||
for j := 0; j+1 < len(bd.keyOff); j++ {
|
||||
fs := bd.factors[bd.keyOff[j]:bd.keyOff[j+1]]
|
||||
r, im := 1.0, 0.0
|
||||
if len(fs) > 0 {
|
||||
r, im = tc[fs[0].slot], ts[fs[0].slot]
|
||||
if fs[0].neg {
|
||||
im = -im
|
||||
}
|
||||
fs = fs[1:]
|
||||
}
|
||||
for _, f := range fs {
|
||||
br, bi := tc[f.slot], ts[f.slot]
|
||||
if f.neg {
|
||||
bi = -bi
|
||||
}
|
||||
r, im = cmul(r, im, br, bi)
|
||||
}
|
||||
if bd.keyNeg[j] {
|
||||
im = -im
|
||||
}
|
||||
pc[j], ps[j] = r, im
|
||||
}
|
||||
}
|
||||
|
||||
type scratch struct{ buf []float64 }
|
||||
|
||||
var scratchPool = sync.Pool{New: func() interface{} { return new(scratch) }}
|
||||
|
||||
// elements t 为 TDB 千年（J2000 起算）。
|
||||
func (bd *body) elements(t float64) [6]float64 {
|
||||
x := (t - tMid) / tHalf
|
||||
var leg [maxDeg + 1]float64
|
||||
leg[0], leg[1] = 1, x
|
||||
for k := 2; k <= bd.legDeg; k++ {
|
||||
leg[k] = (leg[k-1]*x*float64(2*k-1) - leg[k-2]*float64(k-1)) / float64(k)
|
||||
}
|
||||
nk := len(bd.keyNeg)
|
||||
sc := scratchPool.Get().(*scratch)
|
||||
defer scratchPool.Put(sc)
|
||||
if cap(sc.buf) < 2*nk+2*maxTab {
|
||||
sc.buf = make([]float64, 2*nk+2*maxTab)
|
||||
}
|
||||
// 各段在读取前都会被完整写入，复用时不必清零。
|
||||
buf := sc.buf[:2*nk+2*maxTab]
|
||||
pc, ps := buf[:nk], buf[nk:2*nk]
|
||||
bd.phasors(t, pc, ps, buf[2*nk:2*nk+maxTab], buf[2*nk+maxTab:])
|
||||
var el [6]float64
|
||||
for v := range bd.el {
|
||||
e := &bd.el[v]
|
||||
sum := 0.0
|
||||
for i, c := range e.secular {
|
||||
sum += c * leg[i]
|
||||
}
|
||||
// 逐阶做点积再乘 Legendre 值，避免逐项累加包络系数的读改写。
|
||||
for d := range e.cnt {
|
||||
cd, sd := e.c[d], e.s[d]
|
||||
arg := e.arg[:len(cd)]
|
||||
s0, s1 := 0.0, 0.0
|
||||
for i, a := range arg {
|
||||
s0 += cd[i] * pc[a]
|
||||
s1 += sd[i] * ps[a]
|
||||
}
|
||||
sum += leg[d] * (s0 + s1)
|
||||
}
|
||||
el[v] = sum
|
||||
}
|
||||
// 先归约平经度再加周期和，与 Python 参考求值一致。
|
||||
lm := math.Mod(bd.l0+bd.f*t, 2*math.Pi)
|
||||
if lm < 0 {
|
||||
lm += 2 * math.Pi
|
||||
}
|
||||
el[1] += lm
|
||||
return el
|
||||
}
|
||||
|
||||
// EarthFromEMB 由地月质心与地心月球合成物理地心 / Earth centre from EMB and geocentric Moon.
|
||||
func EarthFromEMB(emb, moon [3]float64) [3]float64 {
|
||||
k := 1 / (1 + emrat)
|
||||
return [3]float64{emb[0] - moon[0]*k, emb[1] - moon[1]*k, emb[2] - moon[2]*k}
|
||||
}
|
||||
|
||||
// ellxyz VSOP2013 椭圆元件 (a,l,k,h,q,p) → 动力学黄道位置（au）与速度（au/日）。
|
||||
func (bd *body) ellxyz(el [6]float64, wantVel bool) (pos, vel [3]float64) {
|
||||
a, l, k, h, q, p := el[0], el[1], el[2], el[3], el[4], el[5]
|
||||
fi := math.Sqrt(1 - k*k - h*h)
|
||||
ki := math.Sqrt(1 - q*q - p*p)
|
||||
u := 1 / (1 + fi)
|
||||
ex := math.Hypot(k, h)
|
||||
gl := math.Mod(l, 2*math.Pi)
|
||||
if gl < 0 {
|
||||
gl += 2 * math.Pi
|
||||
}
|
||||
gm := gl - math.Atan2(h, k)
|
||||
e := gl + (ex-0.125*ex*ex*ex)*math.Sin(gm) + 0.5*ex*ex*math.Sin(2*gm) + 0.375*ex*ex*ex*math.Sin(3*gm)
|
||||
var zs, zc float64
|
||||
for it := 0; it < 20; it++ {
|
||||
zs, zc = math.Sincos(e)
|
||||
z3r, z3i := k*zc+h*zs, k*zs-h*zc
|
||||
dl := gl - e + z3i
|
||||
e += dl / (1 - z3r)
|
||||
if math.Abs(dl) < 1e-15 {
|
||||
break
|
||||
}
|
||||
}
|
||||
zs, zc = math.Sincos(e)
|
||||
z3r, z3i := k*zc+h*zs, k*zs-h*zc
|
||||
rsa := 1 - z3r
|
||||
z1r, z1i := u*k*z3i, u*h*z3i
|
||||
z2r, z2i := z1i, -z1r
|
||||
xcw := (-k + zc + z2r) / rsa
|
||||
xsw := (-h + zs + z2i) / rsa
|
||||
xm := p*xcw - q*xsw
|
||||
xr := a * rsa
|
||||
pos = [3]float64{xr * (xcw - 2*p*xm), xr * (xsw + 2*q*xm), -2 * xr * ki * xm}
|
||||
if !wantVel {
|
||||
return pos, vel
|
||||
}
|
||||
xms := a * (h + xsw) / fi
|
||||
xmc := a * (k + xcw) / fi
|
||||
xn := bd.rgm / math.Pow(a, 1.5)
|
||||
vel = [3]float64{xn * ((2*p*p-1)*xms + 2*p*q*xmc), xn * ((1-2*q*q)*xmc - 2*p*q*xms), 2 * xn * ki * (p*xms + q*xmc)}
|
||||
return pos, vel
|
||||
}
|
||||
|
||||
func rx(a float64) [3][3]float64 {
|
||||
s, c := math.Sincos(a)
|
||||
return [3][3]float64{{1, 0, 0}, {0, c, -s}, {0, s, c}}
|
||||
}
|
||||
|
||||
func rz(a float64) [3][3]float64 {
|
||||
s, c := math.Sincos(a)
|
||||
return [3][3]float64{{c, -s, 0}, {s, c, 0}, {0, 0, 1}}
|
||||
}
|
||||
|
||||
func mul(a, b [3][3]float64) (out [3][3]float64) {
|
||||
for i := 0; i < 3; i++ {
|
||||
for j := 0; j < 3; j++ {
|
||||
for k := 0; k < 3; k++ {
|
||||
out[i][j] += a[i][k] * b[k][j]
|
||||
}
|
||||
}
|
||||
}
|
||||
return out
|
||||
}
|
||||
|
||||
func transpose(a [3][3]float64) (out [3][3]float64) {
|
||||
for i := 0; i < 3; i++ {
|
||||
for j := 0; j < 3; j++ {
|
||||
out[i][j] = a[j][i]
|
||||
}
|
||||
}
|
||||
return out
|
||||
}
|
||||
@@ -0,0 +1,166 @@
|
||||
// 被测契约：内置表与参考向量一致（< 10 cm），现代段区间外回落长时段表，接缝连续，可并发求值。
|
||||
package planets
|
||||
|
||||
import (
|
||||
"bufio"
|
||||
"math"
|
||||
"os"
|
||||
"strconv"
|
||||
"strings"
|
||||
"sync"
|
||||
"testing"
|
||||
)
|
||||
|
||||
func sq(x float64) float64 { return x * x }
|
||||
|
||||
func longOnly(t *testing.T) *Model {
|
||||
m, err := Parse(longTable)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
return m
|
||||
}
|
||||
|
||||
func checkVectors(t *testing.T, m *Model, path string) {
|
||||
f, err := os.Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer f.Close()
|
||||
n := 0
|
||||
sc := bufio.NewScanner(f)
|
||||
for sc.Scan() {
|
||||
parts := strings.Split(sc.Text(), ",")
|
||||
var v [8]float64
|
||||
for i := range v {
|
||||
if v[i], err = strconv.ParseFloat(parts[i], 64); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
}
|
||||
id := int(v[0])
|
||||
p, vel, err := m.HeliocentricState(id, v[1])
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
d := math.Sqrt(sq(p[0]-v[2]) + sq(p[1]-v[3]) + sq(p[2]-v[4]))
|
||||
dv := math.Sqrt(sq(vel[0]-v[5]) + sq(vel[1]-v[6]) + sq(vel[2]-v[7]))
|
||||
if !(d <= 1e-4 && dv <= 1e-6) {
|
||||
t.Errorf("body %d jd %.1f: %.3e km, %.3e km/day", id, v[1], d, dv)
|
||||
}
|
||||
n++
|
||||
}
|
||||
if n < 100 {
|
||||
t.Fatalf("only %d vectors", n)
|
||||
}
|
||||
}
|
||||
|
||||
func TestLongTableMatchesReference(t *testing.T) {
|
||||
checkVectors(t, longOnly(t), "testdata/long.csv")
|
||||
}
|
||||
|
||||
func TestModernSegmentMatchesReference(t *testing.T) {
|
||||
checkVectors(t, Default(), "testdata/modern.csv")
|
||||
}
|
||||
|
||||
func TestFastTableMatchesReference(t *testing.T) {
|
||||
checkVectors(t, Fast(), "testdata/fast.csv")
|
||||
}
|
||||
|
||||
func TestFallsBackOutsideModern(t *testing.T) {
|
||||
long, dual := longOnly(t), Default()
|
||||
for _, jd := range []float64{ModernStart, ModernEnd, ModernStart - 1, ModernEnd + 1, 625000.5, 5000000.5} {
|
||||
for id := 1; id <= 8; id++ {
|
||||
a, _ := long.Heliocentric(id, jd)
|
||||
b, _ := dual.Heliocentric(id, jd)
|
||||
if a != b {
|
||||
t.Errorf("body %d jd %.1f: did not fall back to long table", id, jd)
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestSeamContinuous(t *testing.T) {
|
||||
m := Default()
|
||||
const h = 0.5
|
||||
for _, jd := range []float64{ModernStart, ModernEnd, ModernStart + blendDays/2, ModernEnd - blendDays/2} {
|
||||
for id := 1; id <= 8; id++ {
|
||||
a, _ := m.Heliocentric(id, jd-h)
|
||||
b, _ := m.Heliocentric(id, jd+h)
|
||||
_, v, _ := m.HeliocentricState(id, jd)
|
||||
var d, vn float64
|
||||
for i := range v {
|
||||
d += sq((b[i]-a[i])/(2*h) - v[i])
|
||||
vn += sq(v[i])
|
||||
}
|
||||
if d, vn = math.Sqrt(d), math.Sqrt(vn); d > 1e-3*vn {
|
||||
t.Errorf("body %d jd %.1f: velocity differs from finite difference by %.3f of %.0f km/day", id, jd, d, vn)
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestParseRejectsTruncated(t *testing.T) {
|
||||
for _, b := range [][]byte{longTable, modernTable} {
|
||||
for _, n := range []int{0, 3, 5, 40, len(b) / 2, len(b) - 1} {
|
||||
if _, err := Parse(b[:n]); err == nil {
|
||||
t.Errorf("len %d: expected error", n)
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestConcurrentMatchesSerial(t *testing.T) {
|
||||
m := Default()
|
||||
const n = 64
|
||||
var want [n][3]float64
|
||||
for i := range want {
|
||||
want[i], _ = m.Heliocentric(1+i%8, 2451545.0+float64(i)*977.3)
|
||||
}
|
||||
var wg sync.WaitGroup
|
||||
var bad [8]bool
|
||||
for g := 0; g < 8; g++ {
|
||||
wg.Add(1)
|
||||
go func(g int) {
|
||||
defer wg.Done()
|
||||
for i := 0; i < n; i++ {
|
||||
if got, _ := m.Heliocentric(1+i%8, 2451545.0+float64(i)*977.3); got != want[i] {
|
||||
bad[g] = true
|
||||
}
|
||||
}
|
||||
}(g)
|
||||
}
|
||||
wg.Wait()
|
||||
for g, b := range bad {
|
||||
if b {
|
||||
t.Fatalf("goroutine %d saw a mismatch", g)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func BenchmarkHeliocentricState(b *testing.B) {
|
||||
m := Default()
|
||||
for id := 1; id <= 8; id++ {
|
||||
id := id
|
||||
b.Run(strconv.Itoa(id), func(b *testing.B) {
|
||||
for i := 0; i < b.N; i++ {
|
||||
m.HeliocentricState(id, 2378496.0+float64(i%14610)*10)
|
||||
}
|
||||
})
|
||||
}
|
||||
}
|
||||
|
||||
func TestZigzagDecodeBeyond32Bits(t *testing.T) {
|
||||
for _, want := range []int64{0, -1, 1, 1<<31 - 1, -1 << 31, 1 << 40, -(1 << 40) - 7, 1<<55 + 3} {
|
||||
z := uint64(want<<1) ^ uint64(want>>63)
|
||||
var b []byte
|
||||
for z >= 0x80 {
|
||||
b = append(b, byte(z)|0x80)
|
||||
z >>= 7
|
||||
}
|
||||
b = append(b, byte(z))
|
||||
r := &reader{b: b}
|
||||
if got := r.zvar(); got != want || r.err != nil || r.p != len(b) {
|
||||
t.Errorf("zvar(%d) = %d, err %v, read %d/%d", want, got, r.err, r.p, len(b))
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,193 @@
|
||||
package planets
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
"math/bits"
|
||||
)
|
||||
|
||||
// bitReader 按位读取，字节内高位在前。
|
||||
type bitReader struct {
|
||||
b []byte
|
||||
p int // 位位置
|
||||
err error
|
||||
}
|
||||
|
||||
// window 返回从当前位开始的 64 位窗口（高位对齐，越界补零），有效位至少 57 位。
|
||||
func (br *bitReader) window() uint64 {
|
||||
i := br.p >> 3
|
||||
var w uint64
|
||||
if i+8 <= len(br.b) {
|
||||
w = binary.BigEndian.Uint64(br.b[i:])
|
||||
} else {
|
||||
for k := 0; k < 8; k++ {
|
||||
w <<= 8
|
||||
if i+k < len(br.b) {
|
||||
w |= uint64(br.b[i+k])
|
||||
}
|
||||
}
|
||||
}
|
||||
return w << uint(br.p&7)
|
||||
}
|
||||
|
||||
func (br *bitReader) skip(n int) {
|
||||
br.p += n
|
||||
if br.p > 8*len(br.b) {
|
||||
br.err = errors.New("planets: truncated bit stream")
|
||||
}
|
||||
}
|
||||
|
||||
func (br *bitReader) get(n int) uint64 {
|
||||
if n == 0 || br.err != nil {
|
||||
return 0
|
||||
}
|
||||
if n > 56 {
|
||||
hi := br.get(n - 32)
|
||||
return hi<<32 | br.get(32)
|
||||
}
|
||||
v := br.window() >> uint(64-n)
|
||||
br.skip(n)
|
||||
return v
|
||||
}
|
||||
|
||||
// gamma Elias-gamma，编码值为 n+1。
|
||||
func (br *bitReader) gamma() int {
|
||||
if br.err != nil {
|
||||
return 0
|
||||
}
|
||||
z := bits.LeadingZeros64(br.window())
|
||||
if z > 28 {
|
||||
br.err = errors.New("planets: bad gamma code")
|
||||
return 0
|
||||
}
|
||||
v := br.get(2*z + 1)
|
||||
return int(v) - 1
|
||||
}
|
||||
|
||||
func unzigzag(z int) int {
|
||||
if z&1 == 0 {
|
||||
return z >> 1
|
||||
}
|
||||
return -(z >> 1) - 1
|
||||
}
|
||||
|
||||
// readElement3 读取 PLN3 元件位流：包络游程、幅角号（定长或同阶升序间隔）、成对共享位宽的量化系数。
|
||||
func readElement3(r *reader, e *element, secDeg, nk int, sortedArgs bool) error {
|
||||
if secDeg > maxDeg {
|
||||
return errors.New("planets: secular degree too high")
|
||||
}
|
||||
n64 := r.uvar()
|
||||
if n64 > uint64(nk) {
|
||||
return errors.New("planets: too many terms")
|
||||
}
|
||||
nint := int(n64)
|
||||
e.secular = make([]float64, secDeg+1)
|
||||
for i := range e.secular {
|
||||
e.secular[i] = r.f64()
|
||||
}
|
||||
step := r.f64()
|
||||
size := r.uvar()
|
||||
if r.err != nil {
|
||||
return r.err
|
||||
}
|
||||
if size > uint64(len(r.b)-r.p) {
|
||||
return errors.New("planets: truncated table")
|
||||
}
|
||||
br := &bitReader{b: r.take(int(size))}
|
||||
if r.err != nil {
|
||||
return r.err
|
||||
}
|
||||
env := make([]int, 0, nint)
|
||||
for runs := br.gamma(); runs > 0 && br.err == nil; runs-- {
|
||||
d := int(br.get(4))
|
||||
cnt := br.gamma() + 1
|
||||
if d > maxDeg || len(env)+cnt > nint {
|
||||
return errors.New("planets: bad envelope runs")
|
||||
}
|
||||
for ; cnt > 0; cnt-- {
|
||||
env = append(env, d)
|
||||
}
|
||||
}
|
||||
if br.err != nil {
|
||||
return br.err
|
||||
}
|
||||
if len(env) != nint {
|
||||
return errors.New("planets: envelope count mismatch")
|
||||
}
|
||||
args := make([]int32, nint)
|
||||
nbits := bits.Len(uint(nk - 1))
|
||||
if nbits == 0 {
|
||||
nbits = 1
|
||||
}
|
||||
prev, cur := -1, -1
|
||||
for j := 0; j < nint; j++ {
|
||||
a := 0
|
||||
if sortedArgs {
|
||||
if env[j] != cur {
|
||||
prev, cur = -1, env[j]
|
||||
}
|
||||
a = prev + 1 + br.gamma()
|
||||
prev = a
|
||||
} else {
|
||||
a = int(br.get(nbits))
|
||||
}
|
||||
if a >= nk {
|
||||
return errors.New("planets: argument index out of range")
|
||||
}
|
||||
args[j] = int32(a)
|
||||
}
|
||||
top := 0
|
||||
for _, d := range env {
|
||||
if d > top {
|
||||
top = d
|
||||
}
|
||||
}
|
||||
// 按包络阶降序的稳定排序：pos[j] 为位流第 j 项的新位置
|
||||
pos := make([]int, nint)
|
||||
e.arg = make([]int32, nint)
|
||||
k := 0
|
||||
for d := top; d >= 0; d-- {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] == d {
|
||||
pos[j], e.arg[k] = k, args[j]
|
||||
k++
|
||||
}
|
||||
}
|
||||
}
|
||||
if nint == 0 {
|
||||
return br.err
|
||||
}
|
||||
e.cnt = make([]int, top+1)
|
||||
e.c, e.s = make([][]float64, top+1), make([][]float64, top+1)
|
||||
for d := 0; d <= top; d++ {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] >= d {
|
||||
e.cnt[d]++
|
||||
}
|
||||
}
|
||||
e.c[d], e.s[d] = make([]float64, e.cnt[d]), make([]float64, e.cnt[d])
|
||||
}
|
||||
width := 0
|
||||
coef := func() float64 {
|
||||
neg := br.get(1) != 0
|
||||
v := float64(br.get(width))
|
||||
if neg {
|
||||
v = -v
|
||||
}
|
||||
return v * step
|
||||
}
|
||||
for d := 0; d <= top; d++ {
|
||||
for j := 0; j < nint; j++ {
|
||||
if env[j] < d {
|
||||
continue
|
||||
}
|
||||
width += unzigzag(br.gamma())
|
||||
if width < 0 || width > 63 {
|
||||
return errors.New("planets: bad coefficient width")
|
||||
}
|
||||
e.c[d][pos[j]] = coef()
|
||||
e.s[d][pos[j]] = coef()
|
||||
}
|
||||
}
|
||||
return br.err
|
||||
}
|
||||
@@ -0,0 +1,108 @@
|
||||
1,-1931455,-62833473.893474385,-11738779.389872823,6761826.5210533086,14582.743821870408,-3696554.6520415167,-230752.33664395515
|
||||
1,-982346.61040627258,-54594365.924901746,-40249361.98021353,3524624.2650957904,1711348.2495792741,-2996593.1799513367,-395982.00376442779
|
||||
1,-664723.78605570132,19568697.79645298,41744274.883307591,670482.25088474201,-4562923.694390011,2147128.8468987569,659053.82913683238
|
||||
1,421526.7353404928,-8560427.7447433379,46317092.227732658,4314797.4566545757,-4930648.2616276676,-487278.75317214674,484118.99164901557
|
||||
1,613717.16879534395,50633858.869895719,-23956414.024757061,-7062273.6544543374,1013728.6378109402,4113246.5162761854,200754.98254079727
|
||||
1,1204502.931725678,12176372.939927423,-66239425.365220524,-6319067.7063551536,3316934.4824261386,1057323.5527012271,-251499.67586286186
|
||||
1,2332037.5255191391,21884339.865066517,40755036.895314112,1284676.9193076652,-4545596.9765684316,2165482.7567381081,597004.52219926508
|
||||
1,2469806.8315679757,-23900066.995238971,41442929.584906727,5578718.794936697,-4493684.7198801376,-1942325.6042346412,253081.92401840785
|
||||
1,3655932.6525249016,-15625619.077793298,-67848691.682821631,-4521720.6778781908,3243436.5201193294,-809742.86308659229,-339015.81050683191
|
||||
1,3836523.2060893951,-44660371.648988307,-49451083.941693358,-618447.01226177043,2254980.1946469825,-2714128.8424649457,-418801.59788438171
|
||||
1,4285288.7909884127,52518688.948609084,-29805567.862637836,-6735289.4021467147,1232776.764282319,3732096.7001830083,230849.22404800789
|
||||
1,4496271.6919694338,-40970592.544536121,28277840.586867347,5648729.3139325604,-3280728.4638769156,-3416752.9628165388,-49932.553514436906
|
||||
1,4837980.1486025397,1645090.9344821104,-69537420.91412662,-6340653.6856198637,3343740.3474207832,158105.36204072251,-234192.53407119896
|
||||
1,5331864.0411642483,56436986.11134512,-10013566.797446055,-4887819.6523256069,-109367.85533025698,4144364.1988601065,384240.87884015433
|
||||
2,-1598084.2773930961,43003955.157424711,98305699.451780051,-3674993.2754645608,-2802072.3434968451,1196582.1047978092,127925.75419764339
|
||||
2,-1225915.9647452403,-105799331.6546907,17266220.875921905,5448318.3185304673,-515830.63036713895,-3005601.8309584637,65563.844435925843
|
||||
2,-692096.24148116377,57989042.114105493,90667249.141690865,-4073847.1424257746,-2573020.4274585145,1613889.7017710209,127850.96939677013
|
||||
2,187593.29539150605,88716670.998645633,61780084.21283368,-5352144.289310039,-1748825.6132587346,2466373.3962477297,92879.321422775989
|
||||
2,1095203.2899014666,-28055976.399595186,103606769.6181515,1995508.7866806835,-2935392.8241721937,-809364.24893465871,170514.82278035372
|
||||
2,1701846.1254665717,97535014.661751598,47044008.494557619,-5367299.3750670673,-1327226.8208148675,2710755.9973209505,99606.614997275887
|
||||
2,2308050.3265216323,88645800.762682974,-63055996.742153667,-5936287.7132207472,1734508.3510735633,2453166.5504519013,-69784.367334436451
|
||||
2,2618496.2093246514,-107562369.13024026,-341415.88202046097,6161142.2754273145,-7777.3418237289252,-3038598.744264584,-44914.178817536522
|
||||
2,2879637.9671252463,-48468367.056526691,-97016501.64084211,1106714.6549768529,2687368.2707796628,-1364202.5907063801,-175128.24677738719
|
||||
2,3346858.0548557155,106831470.41331172,-18993290.60020487,-6260502.5255921204,518381.71200490242,2967330.6535282987,31607.927781469803
|
||||
2,3973215.4673080323,-107553033.53270063,5512389.6949170651,5754080.8874512324,-170022.93112917306,-3030413.6719801705,-65506.191032127062
|
||||
2,4148003.3935663197,-68635460.407738149,82792845.939131647,5650823.9669022858,-2337871.1223638346,-1942368.6204800094,70190.903086091581
|
||||
2,5025748.652984336,-65871835.11454805,-86028739.428212389,391478.07920932205,2388128.1732157101,-1843921.3359892734,-167133.09745928633
|
||||
3,-1931455,-150473987.96749708,5883801.5462573338,1923538.0693601375,-147750.77739770696,-2551129.8230871521,-64692.224256650203
|
||||
3,-918186.82549542841,-110863312.67125413,-104059875.81935193,-1447641.1284470859,1713423.8837573638,-1862737.5626304727,-50191.130090461993
|
||||
3,-525169.90033902903,-108728624.19648589,-106174934.76442857,-1447046.7364528317,1749962.9826123023,-1830523.1413526826,-42808.60152032529
|
||||
3,-50015.837424891302,-149982079.27249333,-3735673.6772040366,427139.6470313305,15740.218431437454,-2565618.2023071856,-40691.97342836282
|
||||
3,214407.52228800766,-139371492.31200913,52274662.357543275,1085025.4423712757,-952112.96382766985,-2404320.8379542879,-31843.061662426342
|
||||
3,1092521.8990238593,-143790137.01210663,-43703238.619850412,-293384.56270973664,701894.38456182287,-2463479.4317906653,-21730.323819369802
|
||||
3,1416030.9360990282,4715646.8583583701,146871512.13379583,964593.70751670678,-2618153.9695822895,79500.610125824591,1050.1823758632122
|
||||
3,2378056.2365927286,132175681.75762367,68573450.673263684,36102.118903539522,-1227453.9501712061,2275388.4270697795,992.35470886810526
|
||||
3,2770178.8802035637,-96073210.551071092,-116446639.19599527,251893.53166848375,1944783.6443092676,-1649407.9808276175,2750.6892199300423
|
||||
3,3490087.2680593487,-116931603.97130293,-94309444.772382304,737564.25139874162,1579032.93677497,-2018306.6882843499,10434.31654207087
|
||||
3,3769866.3212560304,-127516758.11987072,-78677929.492055118,852483.08219713217,1316292.4725816047,-2206426.8100802186,14611.194917333378
|
||||
3,4284440.5978102293,-112416610.03425916,95623333.507418022,-638513.85279376747,-1699509.7377296686,-1978353.8742986633,26186.310126968638
|
||||
3,4957447.7597313328,142255916.9256832,-51303194.995899975,-64333.678592950368,845279.42989303696,2400859.4156803214,-37339.426391242741
|
||||
3,5263563.8233592883,147955932.18912891,27452790.244904704,-1372245.362749584,-495436.32893261855,2509475.863939683,-34341.816687568724
|
||||
4,-1664596.7865721234,-119841287.66127659,214629928.90642872,7344645.1552384049,-1655802.7048651963,-982284.96186421195,60183.350695118723
|
||||
4,-599478.89874812448,19090267.437296763,-208769610.16352469,-3666610.8099194989,2240788.5261324784,274377.16941586416,-84098.028036331903
|
||||
4,-248716.27738850471,-154449764.37564087,193160125.03983238,8769981.5271898061,-1480039.323526321,-1211794.2744412571,37903.534240361609
|
||||
4,-112103.65643933322,17691024.283197854,242177683.63147894,3086072.6061628261,-1934726.3720257443,252551.67760584434,76282.778405779973
|
||||
4,378411.62997224135,-8672878.7757398747,242792687.49380925,4407000.5889353165,-1949667.1450878531,43212.109817951103,69667.886183071954
|
||||
4,1255789.973287046,-192079105.05521163,157457863.51673391,8991618.7145916373,-1208438.3833928432,-1471532.5260416819,9657.0171547220471
|
||||
4,2044206.5422547688,194353817.05443475,90208178.629202545,-3389383.5649577067,-786794.70067758078,2068074.8551034597,63532.552021373755
|
||||
4,2441004.9649596373,-174313155.28191385,-157340974.30781519,1001405.9012954868,1481922.0390659207,-1375297.4273268564,-65315.162482488347
|
||||
4,2610794.6258488195,31989205.642540239,-213194100.97962344,-5250336.265857337,2143934.4120386043,493820.56649056997,-40245.452173118872
|
||||
4,2952388.8482214063,197069112.07688695,73317863.285269588,-2687997.6104657804,-668614.76648096298,2150676.6897385409,60120.667137577468
|
||||
4,3868758.0927022072,192914598.65039673,-73336897.859198287,-4566452.8727918556,769453.22488924093,2158351.9605830782,32987.56225437281
|
||||
4,4106866.1883822149,-241022196.44414705,-61422556.733652458,2154472.241932245,531691.21472895541,-1826155.8443803398,-45117.620717894984
|
||||
4,4746544.2486086572,-117391484.90056048,-207574278.58181453,-2820662.3897265969,1811419.4700026382,-824291.99336024781,-33996.751894926485
|
||||
5,-1931455,-772690726.7694149,199332711.69978821,23295938.166143727,-289038.54449519527,-1061347.3055243213,12007.908902628149
|
||||
5,-1325996.6449592349,180480396.53800517,747681529.3589071,-7061549.837683348,-1101428.977350777,300005.9999717772,32090.033005237256
|
||||
5,-664681.44631013274,377609983.18746608,-667612150.77084684,-9468349.3027604315,978337.75683869782,594515.05479369068,-28858.505204890796
|
||||
5,-96501.675953416852,745409433.90775657,-90178932.856628656,-20083056.667049114,133001.91904592334,1161264.6514902934,-5676.8781348387647
|
||||
5,485342.37627524836,-188169392.61670572,758382147.73369586,3425868.8939713552,-1100205.1825472682,-229560.89454249665,28938.263893912637
|
||||
5,1173238.7993086451,706406117.20131779,240698978.76893193,-17876182.623419557,-370304.80656013114,1115951.9215193791,6376.9069425374564
|
||||
5,1615370.7769106091,587916367.11441386,461603151.21851331,-15229806.500849891,-705175.11843080819,938661.97823352518,13959.615618576123
|
||||
5,1826785.1037350758,561244956.97043788,-507505051.95698571,-11470186.947058314,746881.90311591025,887888.26927937986,-20231.729480225269
|
||||
5,2451545,598557823.64564335,439626178.58140647,-15226066.168285085,-683430.92717100971,963863.88426159602,11307.635576089893
|
||||
5,2753599.0637343237,226296031.21838596,-742092562.48249567,-1522612.6982041863,1065195.404953395,383426.92661061988,-25255.290575995921
|
||||
5,3114874.3738181461,182074976.44964525,732676104.37929857,-7896536.1257198798,-1115983.1714703941,327024.97186968755,22427.346278442008
|
||||
5,3449084.4638016652,-473694570.29021728,628465144.57373905,6330540.9853974404,-924301.80601250636,-625416.63053073618,23610.275622163819
|
||||
5,4335543.4811457656,668540603.99763763,-342758858.09950304,-11427062.794939062,487765.70515225077,1061641.1065687188,-18791.118632898186
|
||||
5,4811751.160826955,387658794.30004311,-672602161.38214934,-2153271.8565818518,946253.42872809921,620026.6109271819,-25724.810973033404
|
||||
6,-1641888.9886098416,-686492816.01118994,-1355795658.9303675,42952773.887906551,710557.33189186431,-321450.89553285151,-6888.9359527966481
|
||||
6,-1199890.7343151937,-6547011.5424645171,-1491167482.5340998,34200266.003707945,793980.82210951252,49998.421051204328,-18360.707512834677
|
||||
6,-495071.74549286813,-396127308.03415489,1302874076.7495625,-20658645.247012053,-849401.02253967361,-198232.35696117618,26315.801473504991
|
||||
6,203580.6581091024,274317216.33875406,1297789480.2521629,-38456880.780166082,-871830.11749293015,205223.45338959465,20776.149980213813
|
||||
6,657524.79896592442,-1220226661.9125969,701088106.64418411,22813430.848251615,-469486.88318913395,-701081.8470078907,31094.277480943074
|
||||
6,1334494.0976866423,-635557715.84245205,1197287757.297435,-3293179.9311753525,-791379.7125760701,-378763.81936424156,36086.596872546521
|
||||
6,1644883.4403174384,752681019.15505409,1112905920.4654369,-50536181.876766868,-743897.03621322254,476969.48294272821,17551.897493327084
|
||||
6,2439063.5577853415,1401748441.9140415,-348532673.8084535,-49588033.386088066,154486.24273349484,808464.44217149378,-20303.880735674633
|
||||
6,2603918.9317545565,-473505060.92402983,1266415358.6568511,-2142492.4030701751,-828138.15326644725,-295773.39530921279,38353.558952681233
|
||||
6,2998152.2305208556,1323691949.6476212,-637876853.9632442,-45218441.929919943,319045.09884086461,742504.9164734513,-24295.229203347066
|
||||
6,3545067.3353613606,273641525.40107274,-1466245783.7346866,6009256.3401860232,783834.96568117873,139774.31301671496,-34934.384793326637
|
||||
6,4787979.901907431,-360321053.2664209,1343615181.0427721,8587867.6068227608,-822927.48007010436,-234871.97090875759,36334.416353850575
|
||||
6,4968789.0632644892,1190224839.0095122,806484162.58310664,-53874195.601666808,-484756.00721770566,671940.6581197062,17819.928863205969
|
||||
7,-1931455,2894644070.4879403,756160167.78285444,-42722063.66376356,-158455.34607476872,539581.86262571253,5780.2971290324476
|
||||
7,-1299710.6774742757,-1652813497.4114439,-2284954817.3150005,13144349.41217255,467833.36724030983,-371963.94410855509,-9486.0812188854543
|
||||
7,-770462.97847182536,2256131299.248137,-1979021527.0557549,-45624834.443564534,378404.44925007265,413740.66348842659,-3537.7448013652229
|
||||
7,-92720.255235022865,2953685285.0036082,-591632835.3764168,-46921294.744743593,111064.71117343244,549236.76056757616,1184.5313449242369
|
||||
7,38233.718192380853,526087843.83821124,2813665258.0229359,6710576.5901976451,-584407.93390329578,81549.397549820918,9019.0293932408294
|
||||
7,915512.19167856034,1423541754.4921358,-2596205814.2575164,-32187370.544998161,509565.49289296364,253849.61985176097,-5967.853376906799
|
||||
7,1086819.7742420263,-2160795910.3294029,1686877290.1221597,37874651.336996913,-368816.29220835702,-491926.06640368479,2872.8911181288054
|
||||
7,2451545,2159068005.8505802,-2054593595.1767559,-35630066.061299823,400629.27618474205,399831.64672568179,-3705.4236690463977
|
||||
7,2788451.2690392667,1924974334.3014181,-2257900044.4903579,-32485162.263930943,445973.19522842293,353970.19111085538,-4468.9305090149783
|
||||
7,3196915.8307418544,1716461018.2789247,2383747287.6932254,-13912145.132387942,-479824.74531714933,317917.7165913487,7027.1173571583331
|
||||
7,3339211.5422046753,1100424600.2176342,-2706801493.959465,-22054736.893173464,543794.69902268471,196802.62984987439,-6159.8076093661357
|
||||
7,4077162.4576984812,1790044984.3184762,-2353626961.4547744,-27582447.996957697,464744.85598250676,328369.91984754609,-4747.3516259032485
|
||||
7,4563257.2600855278,-883688484.94580317,-2681132054.576282,4661750.7989627197,559138.3933246329,-212209.78296159173,-7060.3908146772455
|
||||
7,5255953.5429854253,176398133.55444014,2862858850.3950419,2672939.9215900172,-588777.1376254115,10089.319179438906,6855.505459606492
|
||||
8,-1788585.7039658355,-3513271192.4057598,2817751220.3355002,20844166.567134719,-297081.46535614121,-363966.00462519325,14160.039073059792
|
||||
8,-592717.14191114833,-419291993.66922736,4457175691.6954069,-82312642.387510329,-470508.53573387407,-41730.318686452192,11490.402501626359
|
||||
8,-494321.65565781738,3539963845.899384,-2764875081.0691595,-23190658.599192608,285124.46218677796,373313.13646270847,-14130.530094777387
|
||||
8,1127138.8410635418,2326042377.6315908,-3860427017.4484763,26348245.389132328,398611.37271773251,244595.72592458862,-14164.633121846622
|
||||
8,1858996.5446232599,4470376763.5941801,-87060745.380236328,-100867267.105951,4854.4957710794015,471779.90457555559,-9834.5936946464371
|
||||
8,2334649.7350391094,3667658235.331665,-2593945764.3535409,-31028660.995055448,267143.10877025634,386824.26512141677,-14096.69685815077
|
||||
8,2495643.2818019064,-3970906103.9656725,-2188493136.3610191,136607327.86990944,222674.08204176804,-408450.20825126721,3279.0431710929747
|
||||
8,3061785.314996372,4443405331.6073389,-532820754.7399025,-91837165.308714941,52736.851062547379,470233.70836222399,-10884.024327752826
|
||||
8,3773929.1366995303,1850118950.2099705,-4116742183.2299247,41801944.285420954,424157.75413573621,194772.46644325901,-13869.324883919659
|
||||
8,4086551.827056977,4453185592.2157459,342671517.68596846,-110749618.48873965,-39597.821519572375,470320.35091181187,-8777.7543097479811
|
||||
8,4328687.1229854897,4358180859.7030611,950957293.46743524,-121177021.29482579,-104310.08056429461,460950.24469642743,-7082.6688518946357
|
||||
8,4801490.3102042498,3432462840.3685045,-2908570515.0270596,-20426335.661570013,299816.18551788281,359628.5494703938,-14441.867965645717
|
||||
8,5242087.2074043704,951563814.29495192,4357254944.6240664,-112067795.75194977,-463065.41744182754,103285.93847407671,8732.5099581102131
|
||||
|
@@ -0,0 +1,976 @@
|
||||
1,-1684007.1141194815,-51012124.77325701,23569933.620385673,7506285.6034423243,-2507649.0608118493,-3398048.2214728654,80398.174800651148
|
||||
1,-1598084.2773930961,42632028.961591989,20651622.482445639,-3688263.8816285124,-2534064.6095627672,4224952.2056673029,567114.0809940215
|
||||
1,-1546567.3315786319,-18119276.02167467,-66632314.348705962,-2147405.2575914222,3310201.8809569767,-656021.86554344976,-429802.91059436055
|
||||
1,-1504240.5109060195,27565860.969403364,-55725923.388774455,-6806643.486033191,3022059.1740360889,2323456.0038026301,-203886.7494868486
|
||||
1,-1430035.1121999889,-59637368.680079915,6184531.7608202035,7348316.8777063228,-1202500.8528249483,-3773153.3189952066,-104061.97138637729
|
||||
1,-1417826.4385308512,8096109.7829212267,45835149.99319993,2026302.8611467092,-4872708.5202749399,1126161.5640872554,640314.89292053774
|
||||
1,-1335854.6077046522,50863359.87483605,-9968032.8585474566,-6549347.1365128877,89169.598155238331,4552857.989639163,286550.9168268597
|
||||
1,-1265381.6129784849,34036052.857999496,31666123.845183499,-1857607.6737119791,-3585810.8587316517,3493828.9752375693,643626.88865272584
|
||||
1,-1225915.9647452403,-6041925.9508440048,-67843698.221236452,-3766203.1474799407,3432245.3013470862,64450.195747170234,-391743.38653767819
|
||||
1,-1164062.7735359697,29771193.066041104,-54345294.537475049,-7017229.2485049507,2930734.1785560874,2458681.9592709574,-174556.91885153929
|
||||
1,-1011238.6947121838,35326270.676014699,30443188.417128101,-1996113.5266036501,-3474686.2365112682,3586464.2114522527,636571.04910826345
|
||||
1,-999292.02473752981,41230761.532087341,-41727720.140002415,-7498008.4544758629,2235160.6367370845,3376303.5052401461,-28929.941874138909
|
||||
1,-982346.61040627258,-54594383.709905662,-40249344.59847983,3524625.2735203109,1711346.6102330193,-2996593.8969291379,-395981.83738026948
|
||||
1,-952195.24691596127,-36654257.134895764,36722831.689112015,6639552.4971976383,-3733130.4612995158,-2602360.3000919353,250022.03956748586
|
||||
1,-918186.82549542841,35271996.800037473,-49423887.741078436,-7337260.3302234402,2660221.4482059786,2863521.8119761636,-109343.19034356911
|
||||
1,-861601.57841308578,30324169.717730086,35028011.9581559,-1065735.9335552456,-3919354.9792207261,3139272.7546379794,656418.50713188027
|
||||
1,-780588.03500993783,47801588.364891529,10647513.526298385,-4668431.2999201324,-1642191.727493291,4497791.1560364403,491394.86181506183
|
||||
1,-735829.94779943186,25689440.647644959,-57930429.758958243,-6847097.839911649,3073484.3650292833,2119197.6891593495,-201248.15330192621
|
||||
1,-692096.24148116377,51185646.069220312,-13485407.144146111,-6672019.6663890127,329092.06096941099,4455400.6779760262,268226.20322592737
|
||||
1,-664723.78605570132,19568699.203292768,41744284.836996086,670481.38451251481,-4562923.3391658943,2147127.4984989171,659054.21731221362
|
||||
1,-569021.28440544801,46795240.841573268,13479954.655198293,-4289672.2707228018,-1899066.4471639514,4421350.2397319889,517398.31879543577
|
||||
1,-525169.90033902903,-53189552.940174945,-42148133.457586318,2999302.846919884,1815484.2551217298,-2932536.1369386045,-405349.75345223112
|
||||
1,-336886.3062741172,34969986.211465769,-50517481.398822375,-7400108.8060029121,2678423.1096032141,2779542.9580878625,-99952.138485262767
|
||||
1,-266577.78305063839,32206280.538174246,33581322.137990318,-1165852.7763147419,-3794183.6383903925,3263254.0801000884,646642.98882098484
|
||||
1,-250271.28551590699,-59979409.09450873,-25135237.3300048,4801985.2967883451,813804.47020764626,-3535496.8324774508,-338925.00485428149
|
||||
1,-103117.7717652421,-28509547.509369422,40863189.380324759,6014367.8142349981,-4230880.5774205131,-2091664.0047385094,310975.62798368779
|
||||
1,-85315.127458434552,-31909376.805517651,-61955727.688259259,-956207.6920725829,2944389.657689536,-1569995.2701965973,-431979.594060309
|
||||
1,-50015.837424891302,41920166.378780939,-42280199.649565697,-7570609.317523418,2204122.840818244,3323694.4059832324,-1173.773732918384
|
||||
1,95991.210029273992,-26487961.349788629,-64484136.68877814,-1808856.613454873,3093019.4563473631,-1248795.7259877436,-422744.12273159879
|
||||
1,130372.27192090219,-59082923.754406542,-27523883.335750915,4347892.033720715,954896.06965055689,-3490826.9575761487,-355103.59167370299
|
||||
1,187593.29539150605,49403894.390312739,-26970458.630135607,-7242489.7798195295,1238192.524469652,4030813.0282472963,160338.02681400173
|
||||
1,421526.7353404928,-8560407.0332824886,46317102.660376631,4314794.588892635,-4930647.76198861,-487277.05941382621,484119.04881159833
|
||||
1,463545.89263325511,35634376.166677646,-50882709.024394386,-7506155.1717699459,2645428.1323148073,2748498.0670972005,-75319.994328690111
|
||||
1,536352.19204846583,-56585760.682257749,-33998456.398856618,3404736.1893621497,1337967.1715436263,-3305828.8875883054,-385298.282058126
|
||||
1,543741.34620087454,-56921645.927418627,-33133200.615573395,3500433.0376734538,1287022.9578168124,-3336311.7465958097,-382265.73911599122
|
||||
1,613717.16879534395,50633860.242248304,-23956438.700442232,-7062270.2978214072,1013729.9888191344,4113245.4270138661,200754.89946374297
|
||||
1,623708.62183470884,-51709048.344251439,-43309310.008054137,2158203.8311995356,1875760.6725848401,-2926313.8740746742,-413516.48107394623
|
||||
1,639349.3173756469,-50039791.307663187,21553933.929671112,6815490.0212750873,-2488471.4240311449,-3575555.1365216365,-7786.9901314475082
|
||||
1,714680.65252043353,-20245214.435159169,-66660907.547082469,-2897631.9795804084,3213744.3511557686,-905337.68865115894,-400707.84584853979
|
||||
1,777889.23808972351,-3204289.8041837467,46478221.502910003,3825406.0462649758,-5001430.9524592971,-32965.295439987814,513504.5918373412
|
||||
1,941418.85263170535,22492400.443529461,40314551.160144791,762584.40015047346,-4477522.9178090915,2314704.2959060166,632762.67449049314
|
||||
1,1019915.0357078202,-59913073.533217661,-19694870.839815136,4585193.8585917307,468438.86498618464,-3727897.0000111763,-331652.07884086779
|
||||
1,1088426.0524462555,-27941077.366109863,40348121.050110064,5911362.2029306609,-4275732.3934730617,-2149618.3983013863,267972.16400465631
|
||||
1,1095203.2899014666,-41690639.233005412,30703083.792125277,6563091.1938355919,-3322443.4157782034,-3131892.8421654226,96211.590215729462
|
||||
1,1149026.1837176164,23358918.824473675,39875560.181705758,706794.04392548813,-4439015.7863806039,2379161.5177563913,629648.52151784499
|
||||
1,1204502.931725678,12176356.612987993,-66239433.850870773,-6319064.302842116,3316934.2555145109,1057322.6331254833,-251499.6827967423
|
||||
1,1248358.0671537584,-42511373.743334077,29757550.378018871,6548737.0066136923,-3245327.4979154798,-3199498.5257338653,77954.147583345548
|
||||
1,1369226.4818641506,-37748006.075049937,33866350.719665915,6374818.1012697946,-3640972.4596880442,-2895195.0503653232,136665.5562476989
|
||||
1,1404375.425812115,32172140.599162024,-55286745.060954981,-7483897.551429539,2814168.778822551,2393716.7547520846,-92524.17126608883
|
||||
1,1416030.9360990282,-51803145.273587011,17629798.114448156,6496600.6340139909,-2203217.8286706987,-3740215.697072634,-73002.300782488324
|
||||
1,1487943.883013247,25409423.78922724,-60324587.760218203,-7211566.715021085,3051787.9002907211,1908832.9773840115,-151405.24887105159
|
||||
1,1701846.1254665717,-56903910.983065799,5692379.6366939479,5968462.6777765835,-1279085.5482471252,-3959861.2396464362,-188409.6813254327
|
||||
1,1804389.4595964327,48911275.438102879,11888022.1647074,-3767012.4074987066,-1794623.4418270646,4319726.5667903284,515362.64720967098
|
||||
1,1827322.0795898,2473115.7881354941,-68687802.73826164,-5690763.1201943485,3371914.2128269901,408153.31979944825,-291746.80014182668
|
||||
1,1848705.8859610055,26152543.393428288,-60186641.202501535,-7293251.5466976073,3026907.4414762221,1928707.030268393,-137265.79622535
|
||||
1,2096788.0793594532,48138094.945908196,-35262980.087061755,-7373071.0132816508,1663550.0556894052,3613990.039758746,133731.91427589039
|
||||
1,2138649.1521867919,15855286.688004168,-65568019.90871343,-6771688.2637125188,3251743.7972924472,1225123.4882660178,-206908.96902139692
|
||||
1,2207857.5232347613,-52401934.088251889,-40075353.369993113,1661008.7747062354,1698972.0053509288,-3140193.8488689107,-412590.44064081239
|
||||
1,2308050.3265216323,-57698492.75324361,-25900692.093096349,3251657.3089895528,856519.96703579824,-3647582.133357618,-375563.07194824459
|
||||
1,2323578.773018145,53761154.329231083,-11479207.716989405,-5915332.9743995862,65523.845874503691,4313408.2030456513,344299.98939277855
|
||||
1,2332037.5255191391,21884348.110274103,40755028.984698996,1284675.9996863885,-4545596.7894589156,2165483.674220094,597004.61549128441
|
||||
1,2378912.2879968146,53750005.371257141,-7811823.3866897887,-5597003.0330064278,-207664.08024399629,4358532.6863312451,374071.73139458202
|
||||
1,2409039.6972490782,-56976574.289655089,-28358934.396667201,2934426.6928431597,1008006.830438114,-3581523.2948661069,-384844.81287081429
|
||||
1,2451545,-19461723.790963124,-66913275.75261195,-3679853.7452132958,3196367.4030234357,-964605.37682434928,-372179.12417147082
|
||||
1,2460000.5,15223591.977972096,-66001764.24579408,-6790048.955488082,3257175.8208434386,1160934.7631422167,-203892.21660326232
|
||||
1,2469806.8315679757,-23900098.33181829,41442921.901772588,5578723.9520099871,-4493683.0973999603,-1942327.2032007454,253081.66402624111
|
||||
1,2610840.75890035,-57170715.860285446,-26978542.864071038,2963826.6091571278,925408.97812530503,-3632883.0833192775,-382718.21076947387
|
||||
1,2618496.2093246514,-54709579.030315094,-34450036.515314668,2122323.3593073655,1375938.0302895913,-3386243.4899780075,-403299.15926015616
|
||||
1,2751610.6835809182,-10643371.053717582,-68827805.942256019,-4741200.565036688,3311116.709119102,-448313.41076187103,-333960.8901152811
|
||||
1,2770178.8802035637,11721450.343743321,-67285319.589426875,-6621574.8476953525,3298094.1369316634,917589.39670395362,-219273.81942517389
|
||||
1,2785840.2756211869,21014952.96875833,-63805454.513076179,-7166459.7982789148,3149711.1761416262,1508520.5080836958,-156617.77855581112
|
||||
1,2808738.9916420998,38376512.027884677,28979995.771897566,-1021252.6737393495,-3370478.1870018616,3517633.8643700606,592600.04683777178
|
||||
1,2839784.2245940454,53786362.711473927,-3716897.4114786,-5097249.8765792698,-529775.15653471986,4362476.0784655586,409493.07469187322
|
||||
1,2879637.9671252463,49536657.516434133,12178977.34213477,-3382717.0155357867,-1827539.5213785446,4247721.3875682373,515559.05059807253
|
||||
1,3154668.7497814698,-54227557.866434239,-34480892.370373271,1804011.9300345229,1385693.0799109503,-3409893.4444795679,-407101.6372655601
|
||||
1,3249068.3727896679,-35824488.26812382,-58361476.40341486,-1844661.4639359054,2728205.1706273379,-2050887.6948675856,-408034.90533004497
|
||||
1,3270930.2648888035,36261807.527111694,31312336.288037382,-469104.93474224093,-3595808.4325500489,3312098.0968839303,588890.504396401
|
||||
1,3284072.2681582002,-52998903.770821504,-37041633.220045231,1416258.2781144264,1538775.2461185784,-3315121.8674476701,-412402.98717167269
|
||||
1,3346858.0548557155,-11712567.247772094,44880873.855854504,4804516.7806333536,-4933414.6298907939,-963395.7706290154,339489.39490661124
|
||||
1,3380769.0042219348,-2237481.8351637912,-69445787.20935905,-5704458.0737376399,3351480.2599263741,19974.884728532044,-283586.64229408046
|
||||
1,3419345.5441400679,-15601318.121973002,43952983.472794078,5060170.8453522697,-4829000.9649479249,-1311107.5423797716,298231.36190480215
|
||||
1,3490087.2680593487,-57420510.778123766,-3007246.5761490017,4585516.6543092448,-669176.34185869445,-4087724.6810523118,-292023.33114624821
|
||||
1,3518566.0884496719,27302821.694937944,38100854.696390152,954856.7534665867,-4277905.6961797755,2553472.8966393177,577739.15846806881
|
||||
1,3578895.9072680827,52127245.162259497,-28832584.789623614,-6827723.5135148056,1198533.7340707006,3801371.6425576569,224860.02578099541
|
||||
1,3585688.6648248574,18241355.206979357,42452086.357157424,2106597.3053908157,-4729197.9811720168,1751378.6209539894,545304.32323199755
|
||||
1,3655932.6525249016,-15625627.371391019,-67848693.045110986,-4521719.0868013613,3243436.3179070661,-809743.54064745735,-339015.80753365502
|
||||
1,3657029.3953580931,28815275.000462506,37210461.277210496,797634.18402081565,-4185606.1805020953,2671074.7858133009,576961.63923610293
|
||||
1,3678288.9220930533,24047845.725817524,-62906991.799947314,-7395478.3557633879,3074750.8581638872,1633976.317172796,-114745.02318152778
|
||||
1,3762039.2925404031,34748650.348231226,-55639849.807240359,-7652737.0552127464,2715437.152427427,2349279.0196980415,-21221.952286785068
|
||||
1,3819307.6395831443,35798573.036894716,-54772204.494705729,-7659195.7996393824,2668629.859803135,2417888.7731738156,-9892.3812688022899
|
||||
1,3832678.719234935,35155040.316770419,-55359720.04798951,-7656133.3424089961,2698189.29915189,2371025.1005775132,-15988.622912337181
|
||||
1,3836523.2060893951,-44660374.016383,-49451075.032304645,-618444.73137495015,2254980.1119936178,-2714129.1187646091,-418801.66995922546
|
||||
1,3973215.4673080323,-57539329.116311349,-7304332.1251934767,4013131.4528040756,-362535.68525314477,-4090774.4984259354,-325775.91605968855
|
||||
1,4092002.0398669122,4325981.9445304768,-69205127.645886585,-6377923.9060916444,3339834.097205339,370887.36752813158,-234463.55266571074
|
||||
1,4105959.1308997376,-56157403.996485852,702915.1369901431,4541382.6058647698,-947857.39287675463,-4132540.1040794337,-284783.523734032
|
||||
1,4109692.9677240904,32957699.548007112,-57459879.711581923,-7640039.1752746729,2793456.0508890417,2191530.4123684433,-31631.280062789592
|
||||
1,4146818.1703821719,38803171.042514324,-52235561.969492778,-7645887.635861001,2523394.1984617035,2601061.9473116831,26628.33686156297
|
||||
1,4148003.3935663197,-47224213.157576278,20957439.57392263,5583081.5821159026,-2598826.5841793558,-3775098.5352697424,-123206.64513607032
|
||||
1,4186230.5865203831,44025845.702987768,-46100768.156873047,-7517871.9636922069,2191516.0961017516,2991707.6076400247,88132.9706900561
|
||||
1,4271016.4964148831,-5330867.8174453052,-69434930.516478181,-5672207.1415076163,3334689.6539588049,-225763.95221670874,-281729.09061157174
|
||||
1,4285288.7909884127,52518663.74662073,-29805566.973988354,-6735288.2247669548,1232777.2456443885,3732097.9787366525,230849.21967714376
|
||||
1,4286016.0774189811,-1141079.8565556542,45795839.639231764,4108902.8943015449,-5080640.9629532909,-66732.310987445642,392636.19540915149
|
||||
1,4358794.8884052942,-47812476.659682401,-44557619.243368775,-196697.02402344521,1995391.9422450995,-3008455.9165469911,-420126.2375156302
|
||||
1,4363078.4222854916,-7448448.8374312771,45338227.6284642,4569778.6570161339,-5027252.5742964912,-647861.67152721318,334383.38096411811
|
||||
1,4401086.8749158718,-33602030.640825547,34807967.12541277,5673771.3688362958,-3911611.8361575105,-2874773.9099969706,50101.80499199628
|
||||
1,4484844.9876696859,-57195130.14610678,-8649051.6865183301,3636152.0775629883,-265687.18293903489,-4109730.8949280363,-342749.30433956638
|
||||
1,4496271.6919694338,-40970597.733659647,28277850.322892357,5648733.0984055493,-3280727.4999228846,-3416752.851214557,-49932.690006108511
|
||||
1,4514036.3835271653,-20415376.215103861,41997589.186017886,5281438.5796331447,-4663207.0935359001,-1808253.6228522919,197799.35088836486
|
||||
1,4558151.2511345278,5526729.2316197949,-69164521.548746392,-6549681.1183229871,3332400.1833709986,412171.40725677169,-218034.35704165543
|
||||
1,4570166.2625536146,-42150265.449820653,26946966.634787966,5604275.2722198637,-3158515.408974011,-3502956.7585195652,-69486.33514163697
|
||||
1,4621218.0733667631,-17962712.95438775,-66986853.303381369,-4583702.6529852897,3201500.9261228885,-1019139.3112533604,-333510.65190025646
|
||||
1,4804523.6742066173,-56116970.83857692,-2028592.6444170682,4000778.0431847502,-746261.11726771877,-4174990.873572398,-317329.66127698513
|
||||
1,4837980.1486025397,1645071.3491478879,-69537423.600297213,-6340648.1915222444,3343740.2316535972,158104.97259132119,-234192.75341552123
|
||||
1,4846629.3164225984,53451290.764945686,5695862.331063264,-3456675.4691495034,-1291047.4840084068,4217350.364757658,473048.066376189
|
||||
1,5025748.652984336,4847501.2554255566,45542575.750027962,3744613.4344709376,-5064863.3111551367,436761.0058742183,408205.924283856
|
||||
1,5038618.8071374437,-51490872.414948426,-36800094.263312414,432923.58656480198,1567218.2229479335,-3400819.4110823157,-420115.64192000427
|
||||
1,5048398.4929598905,-11693020.028017161,-68510116.041869968,-5319130.6491712471,3284496.5005318397,-664006.49219778704,-298448.92052066035
|
||||
1,5126817.1156069133,40780524.853493392,28035428.920540366,-408087.23872707138,-3248246.5635093609,3475293.9965171348,547791.5614069096
|
||||
1,5195872.3073759098,42982591.868764199,25597611.802354779,-758976.28182719916,-3015437.9428311982,3620187.9460700098,543215.37317973829
|
||||
1,5198267.6635453114,-44148565.798647493,23985799.389765471,5327393.837411535,-2906323.8548208047,-3693970.5150298704,-126364.01853472096
|
||||
1,5233556.4870860651,-54228694.005140468,-29049036.463190377,1232388.179129865,1102487.7599496469,-3702256.4174513514,-413875.33478072163
|
||||
1,5331864.0411642483,56436971.236163661,-10013629.568162572,-4887826.4485522565,-109364.12349267142,4144364.5094210561,384240.64591534162
|
||||
2,-1910625.4269706856,-9754645.2106898148,106413997.54650117,-1237487.789831307,-3045394.2147905012,-292891.85649677075,158284.7367929591
|
||||
2,-1816443.122843025,-91507221.014987707,55275410.818375662,3783085.4247284499,-1594905.2241177382,-2609278.9205799839,122344.91225704645
|
||||
2,-1664596.7865721234,45999261.529651433,96958128.850152612,-3830138.8884583223,-2764069.1456911708,1280856.5476522725,123407.72502563252
|
||||
2,-1633873.6231535422,92287063.544366375,-58678063.665058911,-3904077.7730063684,1584655.0462102608,2534811.101864581,-119672.01489473642
|
||||
2,-1490457.109678637,55263987.950432174,92140991.503968522,-4195628.9776114412,-2624220.8867149716,1540080.7913726093,115828.35541524332
|
||||
2,-1325996.6449592349,97214075.386822686,47392230.085723393,-5790377.6843734207,-1356523.8480711754,2701415.043932871,36443.079574279393
|
||||
2,-1305348.189373699,106529263.35746662,-22969807.227515291,-5369480.4891664647,602090.42789589311,2938837.6434466122,-70466.891488343521
|
||||
2,-1262026.8623748557,11328376.65151093,-108825843.91181129,791379.07467550552,2973426.4556739656,292459.47036126256,-162548.89623565241
|
||||
2,-1227450.9171129605,-67033382.983738683,-85389228.039797947,4668453.1805637451,2344412.7870447305,-1890234.9522581631,-101669.20510692682
|
||||
2,-1127198.4669872932,34424507.61933063,-103926726.07334788,-605486.62417843379,2836826.7955347309,931621.6099110418,-164305.81848843064
|
||||
2,-1033066.0951237342,-16556076.581378169,-107894422.74421887,2139344.2377189822,2955996.6421612524,-480473.12133332528,-155089.2925433963
|
||||
2,-876550.07506747963,-16557777.088164255,105758081.68589129,-205502.73280928697,-3014726.9547752002,-486260.36257326731,170704.83089589505
|
||||
2,-772078.22508312692,25898134.980987839,104157283.31354958,-2462407.7365044649,-2960925.7036552206,713453.47876759234,156683.56412914299
|
||||
2,-675378.02177428501,-98043308.399497792,-44915231.802088663,5871119.0449447837,1229459.1924035123,-2770750.1638993546,-42690.668445929936
|
||||
2,-599478.89874812448,-59133980.403707393,89129080.665662676,2520803.9494777368,-2544270.6054100641,-1692839.5666821522,157068.02681663173
|
||||
2,-545947.46776324348,-94175473.582788512,-52746104.34433724,5724575.764072082,1447642.1140779722,-2660070.1971710315,-58675.59447768129
|
||||
2,-495091.31634280551,90159459.581181034,-61667725.713971809,-4567534.750328185,1675389.5738505456,2479541.5305968621,-114298.51589107429
|
||||
2,-426729.67608257732,70390847.687771916,81648178.874224752,-4596986.8689948702,-2314311.0342898834,1959229.9903907084,115567.20251135399
|
||||
2,-396167.8497008069,64382161.32702262,86381740.750864029,-4282854.6084483536,-2448396.7320462842,1791951.658920747,125000.33455553671
|
||||
2,-354579.39496690687,11641886.36483933,106679180.48535842,-1425599.3656151956,-3030050.3939307476,311060.75405059854,169367.80861769975
|
||||
2,-334403.93271124619,107718454.93500558,13587776.296739971,-6202391.9310348565,-405447.78248114529,2983289.7259310181,1968.7800692887233
|
||||
2,-248716.27738850471,-70448564.782846212,80538262.690781847,3489469.0817090515,-2298318.0868241568,-2012239.719722871,143850.5679392718
|
||||
2,-241326.24223391432,-382810.52406527358,107260845.79927498,-666726.80668285897,-3047251.4917584066,-28458.050136686423,173709.24529932573
|
||||
2,-209764.07892694743,-21689898.347206768,-106790479.53990804,1899495.2719709002,2934274.8436527201,-622811.06693881948,-163483.46179437928
|
||||
2,-197403.55219547101,-15828145.405881096,-107860257.43417716,1563320.4313367831,2962929.476297711,-459812.72332608839,-166261.83632961448
|
||||
2,-121135.46653172863,67713687.355401337,83894029.426833957,-4346532.2053379007,-2375203.8055405598,1884293.9250689792,125459.94298036152
|
||||
2,-112103.65643933322,-57081945.978146844,90552668.883990929,2768589.7613487523,-2579917.4820273612,-1633432.0295897836,156816.63578605108
|
||||
2,-96501.675953416852,17614164.591126617,-107790521.52640909,-424679.44606125134,2955645.8825846803,469320.40516661631,-171955.20690921554
|
||||
2,-70854.688283364521,92631647.220100716,-57714531.428033456,-5012442.6380988508,1569678.3890163167,2550580.7155988868,-103452.00397276267
|
||||
2,-58803.431499841623,-102743841.74410823,-32194021.755083241,6064727.8681708248,877336.37542340765,-2906368.9576183422,-35363.962564708374
|
||||
2,-35874.079807724571,-90268516.650702104,-59287565.426840745,5483575.9005173817,1631726.3114479987,-2549224.495401131,-81009.742578393838
|
||||
2,36736.130432011094,-11552670.352026623,-108397474.66924031,1153276.5675159055,2979045.3899743236,-340445.63107895426,-170146.43723527674
|
||||
2,84992.291643073084,-107130936.81303066,6280154.2084000632,6158834.4712019395,-200552.71401300223,-3039206.8529060325,24206.89768464601
|
||||
2,109674.52296956419,-53120867.663472302,92980031.240037531,2699557.3287679348,-2646371.1234741746,-1520902.0897594972,158976.74656963968
|
||||
2,137839.11760925851,-47040565.504330419,-97951425.273485765,3091448.8414030094,2697877.529362685,-1330561.6832614879,-151017.64183654342
|
||||
2,214407.52228800766,-98138193.792036071,42939905.614950456,5552495.4028944448,-1232855.6210065635,-2791098.3964554956,80535.69940206148
|
||||
2,221397.23165164562,-103786345.70969887,-28490608.667619497,6111101.0171557628,774979.24650348094,-2936523.4905973626,-35600.378331410204
|
||||
2,337842.49135007011,10215950.291468121,-108620268.08235179,-339803.57476475311,2984129.8576483489,265280.88767196919,-174361.42169703144
|
||||
2,378411.62997224135,-39266330.196256295,99726947.681954086,2084007.3763790496,-2833320.2070914288,-1127844.1659348605,167455.41085797365
|
||||
2,485342.37627524836,40464976.216685064,99764631.362792835,-2492189.1197764063,-2821369.9634357681,1121319.9345893566,163487.80874200218
|
||||
2,494369.97426253278,-72022524.08926326,79269719.128805712,4115104.2987875799,-2256674.6007009516,-2054338.9776296956,134416.24337418319
|
||||
2,577993.6549429521,-106132382.1392847,-17238686.537217408,6227157.2634798931,461324.03380445053,-3004632.9743126491,-25239.624347144356
|
||||
2,655938.44117414718,-89082404.572037056,59495016.792423286,5225709.4849668816,-1697620.0229826227,-2535172.2586929356,99631.396511699742
|
||||
2,823252.73597173626,108239220.14957982,8461452.4009157661,-6358055.5243792795,-256076.70004755456,2999562.206975311,18759.077708673733
|
||||
2,877296.24198089819,-105591302.53640707,-20505966.552571904,6183332.899313258,553656.24239625549,-2987769.2186414613,-37491.194993516714
|
||||
2,924592.62089987099,108276625.13569634,7961189.7128660949,-6362678.0122843198,-241721.77228694764,3000754.5482891207,20223.707733055115
|
||||
2,1092521.8990238593,-68329675.024675891,82583360.982429311,4300456.3630227875,-2345956.8194549643,-1947866.418019623,132043.06478400898
|
||||
2,1166095.5485040057,27543951.641650897,-105488885.95418921,-2028727.3944306169,2902532.3412240394,749641.30516043294,-168424.34291538081
|
||||
2,1173238.7993086451,-93759834.074330658,-53410162.693905979,5325815.6247364013,1472869.449550054,-2646866.2392740585,-97184.615795266713
|
||||
2,1210411.445408382,108379781.31483646,6279363.2319046026,-6370658.566587517,-193340.04467343391,3004424.9929103707,23914.349835819467
|
||||
2,1219140.9107148079,69761673.170468539,-83792647.412285864,-4471875.3342428524,2300362.5071467063,1921955.1072865231,-127646.88840598711
|
||||
2,1255789.973287046,105453658.94323559,-26625252.781002585,-6344207.1757393302,719579.21730696526,2917620.8482378279,-29323.123785016709
|
||||
2,1286510.5901554311,-44600299.650955811,-98988059.663253143,2162842.117837206,2733805.104979293,-1260554.7818548647,-167341.94007989395
|
||||
2,1341117.2369882604,-32419601.373979732,-103730514.2833584,1378421.7710594411,2863449.1687533827,-919383.12122563052,-173747.54248465612
|
||||
2,1402307.25576506,108035084.59122032,10324596.935098516,-6316993.2450824538,-304715.91051353212,2996117.9909008108,34847.658074015737
|
||||
2,1615370.7769106091,16685679.334340867,106349129.71498905,-210318.63190395309,-3002139.6206510835,452807.30051291117,180165.2383606915
|
||||
2,1637496.3475555568,-36029764.035824046,-102470988.73518063,1360383.8278880112,2830991.713427546,-1019633.382899451,-174327.32728902873
|
||||
2,1756359.4320327346,-46148775.184480041,-98219385.729067922,1893963.8062313045,2715465.2446183804,-1302738.5599337348,-170559.18567860944
|
||||
2,1821188.4015711742,40899447.523382403,99760754.525550723,-1520182.7780562541,-2811603.1097705369,1133106.9322201691,175186.45614454304
|
||||
2,1826785.1037350758,89389671.170885131,60956892.771590054,-4708759.2869794546,-1716397.3820012894,2485788.4203071692,122910.68445984175
|
||||
2,1870677.9806007287,-99194446.283152074,40910201.319160685,6199309.3515092805,-1168524.5033765312,-2812931.7318489905,42629.28691994027
|
||||
2,1877735.7345504016,62029701.762946136,-89546317.977355376,-4471088.5530669298,2464766.6900306335,1710797.8594080121,-128760.4438697656
|
||||
2,2044206.5422547688,-31132466.966194928,-104061430.27756363,721238.75683852355,2877025.9294873965,-881522.576687427,-177523.16650252408
|
||||
2,2083410.1837759214,51952648.996972173,94589328.014956817,-2007399.7485320449,-2662870.0887064026,1442710.1359945731,171211.11390988683
|
||||
2,2095363.8025208651,-73456446.608175606,78211546.149966568,5145744.631880831,-2217226.9410058116,-2088566.6801177934,106599.39813167916
|
||||
2,2144562.8894250412,-47619421.474198818,96257316.354351968,3867345.9936540322,-2723019.6102086138,-1359156.5129460192,143389.48755916426
|
||||
2,2182921.9998152172,105972087.81759973,22917779.008632466,-5906317.8202504879,-651846.16357621748,2943167.2616585209,72180.579875499781
|
||||
2,2266773.6153919585,30716292.290016975,103333666.21998824,-517576.55589084851,-2910953.268266805,847503.25987414713,179517.50107268544
|
||||
2,2378056.2365927286,-103128753.33055475,29947295.543799806,6361565.7580629196,-858802.53124623501,-2919796.0090177013,11426.255336201706
|
||||
2,2397780.2731268918,12610116.397663662,106970789.42354229,688897.16780182929,-3015421.9328870457,338742.79574750166,178897.28441924992
|
||||
2,2441004.9649596373,-87100973.513380498,-63950033.143254392,4160828.7644302277,1769428.5532047462,-2453237.7365596737,-135514.02473727579
|
||||
2,2451545,-107456499.25639249,-4885009.1300608153,6135630.6963122943,119396.52470389186,-3036121.4261188689,-48387.615097017384
|
||||
2,2460000.5,72220849.67997171,80401291.3701884,-3063476.788842835,-2260354.7240211163,2009106.7065759217,158011.52715628446
|
||||
2,2535357.5503298556,-107536194.49492858,-2307729.999012473,6153351.9567425717,47082.499554856302,-3038299.4726908561,-46155.984090744649
|
||||
2,2593711.9383720476,34548300.344178908,102163344.05388612,-476962.04696100636,-2876148.3177498728,955145.92646327021,179126.99446869647
|
||||
2,2610794.6258488195,18591875.740513369,106147112.41530454,511595.72552996664,-2990297.6549822902,507037.75282265845,179019.29174198513
|
||||
2,2632432.4652583934,-106615726.27581996,-14911753.40739641,5883682.6705358168,400458.20966169034,-3009576.3799521662,-68175.272262359926
|
||||
2,2663593.9188041752,34437216.679443583,102208821.80680095,-410015.73280604981,-2876931.535610077,952150.74432661431,179123.33446595087
|
||||
2,2753599.0637343237,4616835.6901031174,-108631978.39373639,-1994100.2272040078,3003648.4062442421,118606.018864325,-169216.9472746609
|
||||
2,2851058.797517837,-107246186.72745512,8000170.9597123945,6212651.3939987794,-241519.46278764916,-3029553.4924527914,-36781.356727073908
|
||||
2,2894173.0374383992,-68722516.846594319,82541133.967008889,5288429.429034804,-2335118.7127313782,-1951287.2150307426,98942.869879548132
|
||||
2,2902172.8322488172,105420817.88853978,-25967595.968987841,-6402262.0948799271,710106.43735774397,2925446.9660799149,9704.2471463943966
|
||||
2,2923391.5965747973,-84490661.566540658,66278373.595369495,5910872.8450423228,-1878393.3062013646,-2394874.0328702615,64887.801677017262
|
||||
2,2944052.2326150993,-57998301.958915524,90437874.752543107,4840271.4258877905,-2556472.4405269059,-1649016.4049410925,115595.29600311004
|
||||
2,2952388.8482214063,-100633300.03328867,37626487.389612466,6328526.7763276855,-1073012.3272721379,-2846661.4680656386,10938.541397745954
|
||||
2,3071928.2882831879,-99074804.579072729,41557632.466298252,6307074.5003552213,-1183220.9202590061,-2802650.3973457189,15012.76219697634
|
||||
2,3094488.6810698071,57149272.626811907,-92500737.563239142,-4901986.4947628444,2556138.8709191442,1581813.3558776597,-113735.72118971757
|
||||
2,3148373.3684775028,-65731098.353688471,-86088840.390954494,2041316.6932840995,2385902.5165643035,-1847613.465167877,-167767.51122044012
|
||||
2,3186011.903311247,64783026.979666322,86481382.390868649,-1948601.5306299187,-2429442.4291376332,1802125.4315184255,169506.21463544224
|
||||
2,3385667.0888963919,-40596970.817331724,-100603622.78676195,160922.76016322177,2788224.0574109661,-1141675.9546511576,-176375.50025627337
|
||||
2,3396644.8951812498,-103675171.51154356,-29646028.42126539,5070753.3130940394,813727.93612169684,-2919954.9708546069,-104785.87512320228
|
||||
2,3449084.4638016652,94163158.18167986,-54092110.767682604,-6275528.5628944049,1492949.8564807873,2613516.8141726572,-26667.443024274246
|
||||
2,3465332.9111963827,15006216.409816435,106751911.33865874,1433837.4662790243,-3004522.6745983013,407490.83724488859,172432.29675520447
|
||||
2,3493903.4271124844,-77579200.518345371,74352634.056800529,5804792.9608557224,-2103308.2693772186,-2197329.5067934878,67646.634470825127
|
||||
2,3520848.3114578417,-28021520.675159372,103896883.09892805,3753779.4050467159,-2929513.4205258135,-802527.35079162812,141830.7018279332
|
||||
2,3579259.5810319055,4829768.9030195419,107652953.20322773,2095394.4987636399,-3030751.110258549,121610.49767866969,166479.69292198875
|
||||
2,3605342.5567358602,-47161965.522376359,96651112.889426857,4676922.1720518684,-2727438.9828790952,-1341053.8814722626,117520.86192688606
|
||||
2,3663524.8103983011,-2561170.3815131867,107696523.76404145,2557192.1890556333,-3032951.4163058554,-85925.883239218179,160911.89281751326
|
||||
2,3693156.3804768156,76668588.241898328,76252784.890353397,-2377590.7286467785,-2140422.5847882316,2134476.5136071844,163033.02328047663
|
||||
2,3769866.3212560304,-107294137.25858098,-9916553.4354768861,5479283.0198451346,262018.82487642585,-3022197.8855485702,-84033.516589461098
|
||||
2,3772581.733645685,-87662178.506290257,-63288876.398562759,3194434.4723323472,1753305.4869675878,-2462837.5670946245,-150440.50435634475
|
||||
2,3868758.0927022072,-79285444.70128946,-73641204.164524093,2425426.6223700293,2041824.0353325065,-2226164.6167943687,-160805.36772287489
|
||||
2,3935699.2530838838,-105747440.46325262,-21128188.425071325,5030873.5534741143,576027.91141590918,-2975932.6866827579,-102512.82846632124
|
||||
2,4069207.5081039593,-39121149.872889787,-101174717.56532851,-521529.39714056981,2806277.2942498089,-1097797.7091430374,-172890.00605631474
|
||||
2,4072793.0636102129,-64476504.488387898,-87056750.290532306,1143257.1144538203,2415119.3377165003,-1808703.4892260868,-170528.58387076581
|
||||
2,4085055.8753798483,20404547.634319838,105899876.47104582,1621790.9431459727,-2978717.6473624925,559994.64277190331,168094.36494369825
|
||||
2,4106866.1883822149,-22781626.988536261,105231803.59618002,3849261.590877152,-2964772.4734991542,-653397.83575962926,136290.12036006639
|
||||
2,4235859.9731076481,-65240181.455293782,85506470.168582216,5562844.0935690487,-2413835.4097807375,-1846749.3604527474,74400.375350810471
|
||||
2,4264349.4469904043,68405505.955074891,83679139.337612942,-1260935.1774805945,-2349014.4247965179,1905029.7263825089,169501.74865122046
|
||||
2,4284440.5978102293,-101183513.77537857,-37699710.735392891,4122609.9566717017,1039735.440821844,-2843162.953074798,-128094.25765990333
|
||||
2,4365530.6731302179,-99075423.935352206,41982631.044333808,6106837.1842966983,-1192564.536718809,-2794012.3592138295,-15691.230756817527
|
||||
2,4408910.9570551161,-107694187.30769964,3596104.3689597896,5476707.5579156997,-116029.33484618663,-3031423.5817148024,-76968.31316056136
|
||||
2,4455302.9423613138,103893327.59096944,-31043798.249258351,-6017571.4491894385,857232.13197082002,2890210.3299373481,37135.782291268464
|
||||
2,4478806.1677568033,-101839380.86707005,-35917947.333638012,4049478.6714440486,989926.96589004667,-2860720.4431654983,-128361.99898494528
|
||||
2,4618013.489915737,96667724.139380053,48676520.764594786,-3321092.5740772649,-1366100.3839607197,2693725.9902441571,143478.99923281805
|
||||
2,4746544.2486086572,93927581.284689128,53732562.359401114,-2931004.4838892943,-1507866.4804281897,2617721.5531648318,148978.97066379176
|
||||
2,4811751.160826955,-18630319.076771535,106089793.43254206,4031867.5537313833,-2987423.4316245262,-534896.0452064675,126203.43446848541
|
||||
2,4957447.7597313328,-44865495.952159554,-98722647.132455751,-914252.91275280819,2740717.6874760506,-1255654.2723538412,-166045.25770860357
|
||||
2,5052839.6295767939,27885206.048206154,104229835.53720392,1944481.8008703419,-2930017.1018669433,771588.13923849305,158705.32002947107
|
||||
2,5133790.0131960288,-105731142.46408191,20864460.852301128,5463503.7074231226,-599275.97796784772,-2973682.3072259743,-66071.109952868006
|
||||
2,5217727.9773081681,107324060.59394044,14455853.321649447,-4360527.815975287,-409275.53863115539,2990975.7459946815,113524.74434399932
|
||||
2,5263563.8233592883,108189021.15328068,5086118.7474926244,-4662646.6538420478,-147807.34971880922,3014837.5667961016,103192.04408677586
|
||||
3,-1807812.1053618162,148370070.47875455,-7502375.658282483,-1832177.5372982882,84020.656805492748,2588980.6719184034,65008.2127384704
|
||||
3,-1788585.7039658355,-98698324.341204897,-116079160.53068213,-1865064.0964211531,1914074.4002773941,-1647130.9608657141,-62769.554820718855
|
||||
3,-1725998.0823240243,147861391.03341153,-16297998.971105736,-1976792.734989485,235904.47882376885,2576167.3663499942,62116.968419624769
|
||||
3,-1709209.6563349424,140798926.43582067,-50007170.586095728,-2730100.6553717926,815150.96458209492,2443161.976854919,52516.080895850966
|
||||
3,-1641888.9886098416,-14168203.850360803,146234997.35207811,3752150.2964876886,-2608812.0604271381,-230605.00486959785,20767.917304210969
|
||||
3,-1576798.8049385049,-147910498.41000831,25417608.833645001,2067302.7188092344,-483817.2993711009,-2518203.7864576695,-56601.63022994349
|
||||
3,-1563625.955812044,-147190924.08225101,-34508155.774915338,592806.87037537491,539846.84934329498,-2487512.0559543059,-65681.921764479732
|
||||
3,-1539474.8702204335,-86546991.284923673,-125460370.6320388,-2202400.4154308308,2071301.6612433912,-1443168.3066246766,-54761.19727825997
|
||||
3,-1522003.9526984771,-150088682.00986171,9165540.8337305151,1647155.7800103058,-204849.1742447915,-2551137.5341731957,-59503.253405541494
|
||||
3,-1359448.2215805235,-147402273.14792889,-33148322.735159107,506064.80064147478,516834.27730027062,-2494214.7961530625,-62507.668679596813
|
||||
3,-1299710.6774742757,131333427.72512777,67124266.284893692,442202.17299961945,-1218790.4640412622,2306910.3907122226,63148.288579131615
|
||||
3,-1285572.1527371076,32958245.862527814,-148426888.46584439,-3669639.4645479308,2464994.2045349539,573949.19489368133,-7315.6808432110402
|
||||
3,-1199890.7343151937,-102959223.93267874,106509158.80198364,3199965.9325744933,-1898695.5353334192,-1773214.738926661,-24827.10865881764
|
||||
3,-1036426.3942562039,118587627.83247441,-92824901.961327344,-2843384.8760468722,1538896.6585047231,2040318.9858976987,33047.993601491529
|
||||
3,-961729.04699411965,-126880284.97549082,77616212.234162673,2498866.1136260876,-1391626.1870618558,-2181556.6916455585,-36723.357098198721
|
||||
3,-942747.86596195493,-107281187.91769528,102191375.69397545,2866507.9146837895,-1823681.441518463,-1849743.7632842632,-26746.980750657
|
||||
3,-791079.85613839678,-114552781.73297802,-99845659.475081787,-1327583.211227976,1643045.9318873149,-1927234.2365935943,-48799.879268134784
|
||||
3,-770462.97847182536,140651785.55430472,46083601.641668156,92155.887058350068,-849360.16775051504,2457679.7146911141,54386.158511992769
|
||||
3,-758022.83077099756,113082562.82429066,94296855.299478531,1222988.4881962216,-1696621.2948352515,1988204.3148906189,49741.805824936266
|
||||
3,-667166.31934148096,93949327.422821179,-118616088.44659513,-2828183.7805517693,1969706.5590084719,1609250.5368510974,20551.735503710381
|
||||
3,-664681.44631013274,-76444927.371865228,-131774086.21950896,-2148037.6599878138,2178072.0804995704,-1279462.9664472425,-36864.350015532124
|
||||
3,-495071.74549286813,147836819.67912278,15623716.339561522,-422269.80828236003,-318555.65062393935,2569451.6860920009,49067.497598880487
|
||||
3,-466550.27508213115,116584426.42223468,90167984.771321326,1105014.1365864594,-1623021.6211072772,2045676.5913938701,45134.371820210006
|
||||
3,-457424.73181510041,125476778.52505296,77713165.657197475,834986.67243356619,-1403565.669456807,2197692.6671263059,46719.853132078671
|
||||
3,-398391.7223886326,-34576107.589763701,-148465240.87979841,-2508702.4540489917,2458485.7333980929,-573774.4079499566,-21212.008543445096
|
||||
3,-395491.31715357001,-84382330.012976259,-126698822.65369867,-1895877.2643219503,2093877.58656299,-1416701.2685376354,-34666.095451210516
|
||||
3,-339731.97327987757,-59002584.187565081,134853831.83126637,2620867.2691996773,-2406435.1709108283,-1022428.745911832,-7807.0717614731393
|
||||
3,-315973.2507299108,-96787962.725383386,111656056.36462042,2348685.3680883488,-1993339.0619223095,-1676624.9410025952,-20990.602376749761
|
||||
3,-109697.22623653128,120593986.37954232,85096629.922619238,964465.04966919334,-1532171.8127467188,2110138.8128087055,39461.09241652154
|
||||
3,-92720.255235022865,-129628836.26480271,-78190898.074488208,-820614.48650411936,1281135.0691702685,-2196106.1346738506,-39691.297597624725
|
||||
3,-89386.738918630173,-38961587.752211973,-147337358.45576811,-2237874.4171885513,2440098.933663121,-650318.34562572604,-18684.225954926045
|
||||
3,-67038.171627650037,115775372.03614514,-96983551.288298041,-1928208.8250696759,1604698.03759268,1979913.7458370142,26281.785844471189
|
||||
3,-60881.297235909617,-370937.51241278835,-152381432.62077579,-2422795.5087862038,2525612.0534492056,1063.7772657645901,-8261.2981347840323
|
||||
3,38233.718192380853,117335618.60254842,89493771.097917497,1021000.0385639265,-1609125.1039446215,2052717.6496122743,36184.262633468177
|
||||
3,203580.6581091024,40654186.432666957,-146652207.20763412,-2195102.777855217,2432296.9011761425,692808.1110449282,3855.3507014336005
|
||||
3,233229.74423041334,145809474.57953554,-34789564.092546426,-840627.91388540913,549443.48550468567,2508439.1056086873,34040.55668233797
|
||||
3,297743.68281099852,-122709709.86992793,-88699543.184484914,-941659.52083569323,1459943.2843955527,-2081126.098663704,-31758.024431055102
|
||||
3,454705.29486214416,-69491895.273956582,129795753.59108461,1776813.9997726476,-2316806.5980687095,-1211134.5794518103,-11163.638606239861
|
||||
3,532662.51504404098,5762058.9739223169,-152237869.01574072,-1869627.4605716241,2524366.748738579,100362.99515196224,-2913.9415427229433
|
||||
3,541726.81441616919,-133266456.44216958,-71030611.021975383,-648152.10699268151,1163061.1501121479,-2268119.3532855278,-29471.169612463094
|
||||
3,574371.6326704151,140628701.54799932,-53294768.377136014,-854600.45045118197,864642.67321392172,2409169.6579052177,27471.040191956563
|
||||
3,657524.79896592442,-117028001.10656366,-96063112.068807468,-938259.42916032602,1585625.1311819018,-1987275.7713574506,-24883.195267953422
|
||||
3,915512.19167856034,131547375.94730209,-73884296.009108096,-837782.31380460714,1213462.3861545254,2244335.8621424194,20907.291320596218
|
||||
3,969383.4987256187,-128827816.21398157,73273805.814576894,792710.0368314177,-1319380.5436713311,-2237256.7567290124,-20094.047823448203
|
||||
3,1005653.0868851673,-35004412.995046042,-148151713.13294864,-1338891.8312237812,2458107.430911799,-592000.65509169456,-7223.0345879821625
|
||||
3,1076836.0565533908,-121498163.1545085,-89896154.897749498,-712329.59671377449,1484246.6836418489,-2069730.598918525,-19023.55405679359
|
||||
3,1086819.7742420263,134394872.70429567,-68482927.533373982,-675495.7590406494,1121979.495878198,2292203.5343797207,19242.750801038517
|
||||
3,1127138.8410635418,-60948110.767341562,133879837.13388725,1161386.9933243282,-2388951.0141304284,-1067608.7640871967,-7708.0878069950404
|
||||
3,1164024.0380486939,-47024214.256761298,139282403.17194793,1164398.9803829521,-2485002.3272267631,-824758.07778443058,-5537.8329091978239
|
||||
3,1171892.907888311,81884295.772000879,-127935887.6600374,-1080766.4023035171,2121470.9906555312,1385964.2946980626,10268.409895218396
|
||||
3,1181893.3188211354,26125381.786461797,144618798.91163874,1156160.2588865762,-2579104.2705090381,456027.39736346412,4889.6766594518831
|
||||
3,1253709.4806311391,80139196.1678617,-129067759.43920557,-1013284.1684096481,2140482.5681474027,1355569.1142826104,9517.5390360667698
|
||||
3,1334494.0976866423,149379048.81949618,7474325.4599672724,10967.87328662554,-174513.25267927843,2567960.2994168997,18272.706394823334
|
||||
3,1344472.4177958574,-74861214.823136196,126754873.62368083,912050.30709916505,-2262094.3770136153,-1311377.8309388557,-8605.774778215995
|
||||
3,1358288.4552726317,83300608.587566063,121686132.98354125,823612.69993067533,-2169756.7990126512,1451083.3686393527,10633.629868800794
|
||||
3,1478412.4381849142,146962275.19404721,26234214.785007272,140659.84503958913,-497851.49776471156,2530224.2438367582,15691.889425627274
|
||||
3,1507834.7553006513,-126705846.29909131,-81787875.632122844,-474320.26179427392,1350521.4146281832,-2166050.5845148754,-13118.790824803758
|
||||
3,1592688.0664429567,118927003.3841991,-93685804.156317398,-516003.38757514971,1547587.1011574245,2017407.5499117323,10894.892699613019
|
||||
3,1644883.4403174384,44700649.620833956,-145459446.63565829,-743522.54184352118,2415264.9107244117,751432.48286158137,3789.2571646634697
|
||||
3,1662044.8566168114,30929071.553489033,-149033699.13508731,-744671.3573192436,2475172.5758010834,518301.07765520253,2566.154079338211
|
||||
3,1763401.1851286227,-24875041.654088788,144867434.77914721,628366.64868708455,-2581305.1928058653,-440988.40813818149,-2030.33383934012
|
||||
3,1797417.5562174106,-125482247.96928266,78337819.542268604,316373.90144797799,-1407385.4790452856,-2188834.7910684352,-9118.1179574706439
|
||||
3,2090420.7047943072,-123615609.42326179,-86100695.105235741,-208529.46768295154,1427653.5328042044,-2119447.7150776759,-4648.5028452634333
|
||||
3,2103787.0252119754,60088426.993128978,134661154.60459965,300253.59522575059,-2393834.9558908856,1041149.313024592,2009.0587864298257
|
||||
3,2132447.7482447745,-83220267.037241668,-126510016.58794776,-261712.04441485525,2107059.5837834198,-1422166.2171744925,-2625.3236135701727
|
||||
3,2245931.6084092339,-88387893.158162788,117842600.92143407,143756.73402081116,-2101747.6376370187,-1552752.0812897396,-2172.2072051770851
|
||||
3,2251622.5967869186,135329972.80055961,-67244333.14695552,-72867.473137410198,1102581.2086173601,2296480.7754580821,2960.4580767059933
|
||||
3,2334649.7350391094,7867943.9330103891,146954191.33183149,107274.91982985199,-2612438.7850823319,128659.4198385738,-54.991216171083522
|
||||
3,2439063.5577853415,118787390.47292,89187301.264424041,7978.3513713111879,-1587299.2254689469,2048670.1725849975,147.28848134944457
|
||||
3,2451545,-26502519.306762833,144693955.78681269,-166.84745017527263,-2573548.793107627,-473313.5848235212,3.7662561913103434
|
||||
3,2460000.5,-135034585.02899519,60716736.045131363,-2429.2145759357181,-1097259.6319889387,-2357175.1218604138,128.57973922898069
|
||||
3,2485458.8781836675,105438531.94868514,104240492.11083095,-23954.121560785348,-1851223.9847656123,1820465.1189982824,-348.35025745684084
|
||||
3,2495643.2818019064,149919281.66998339,5901908.3280270612,-5372.1097643352905,-142924.32536148946,2561895.470125176,-694.80518553847753
|
||||
3,2547641.5393228149,-104392141.27517936,104154128.48285295,-55959.908454151489,-1859374.2923196878,-1832162.6791433641,1201.4513565889742
|
||||
3,2603918.9317545565,-141971980.38220748,42828189.184812576,-26278.630580079262,-784544.70598454156,-2474587.6971695074,2412.2136016441809
|
||||
3,2733245.0135987615,-147648268.85113809,-21859635.648664963,69409.926381497717,336442.45527669089,-2557216.2208588049,4367.3390216120188
|
||||
3,2746411.5647210125,-135377786.20309308,-64542894.572049275,147610.26197453562,1067144.8959084474,-2334569.4983976702,3999.0396844588922
|
||||
3,2788451.2690392667,-76270055.8804584,-130628042.53668256,290732.94416259712,2182275.2973084948,-1309249.3003465168,2125.7636931290422
|
||||
3,2789313.9323644927,148907045.60049099,17639720.225708649,-76786.33960329245,-343179.16359743278,2544355.8213499626,-5190.2944051854756
|
||||
3,2837948.6438788753,69104597.404827267,130693994.20238382,-331689.2745008042,-2315349.4544680449,1191254.8618832058,-2088.865516000867
|
||||
3,2905495.0170944203,120374250.12846458,87432003.555973873,-290421.26183475216,-1552366.2749359657,2070161.4658053461,-5137.0777924394833
|
||||
3,2998152.2305208556,30899681.28540856,-148806524.11861679,480078.30622897524,2480721.1378351799,510602.94757129595,-2967.7414838568707
|
||||
3,3008944.5139920544,-71051534.773353815,128958307.05215381,-400832.68850585248,-2293622.6185167106,-1254637.5017139039,5466.5498355831642
|
||||
3,3061785.314996372,150244316.42022538,-7433798.5239389138,-62276.164190680967,88245.717512187432,2557632.6053604353,-9545.3488248909089
|
||||
3,3114874.3738181461,-83269593.748825416,121507650.69207577,-433296.56816623139,-2161809.8579977429,-1468098.645281316,7366.8819610430064
|
||||
3,3146914.3863433609,139502788.92599514,53689374.030004524,-327043.4973188116,-963093.55468877393,2388614.7564683692,-9373.7803588302813
|
||||
3,3150144.1991835367,124285750.57262282,-86640118.912242815,276459.78536251478,1433281.6711703432,2097943.4050421328,-9920.0706109462244
|
||||
3,3196915.8307418544,144587675.20328248,-43446418.287351482,80538.036690979425,702302.67562633555,2451171.5128864669,-11606.69385953283
|
||||
3,3201574.1630870095,-34041047.372739129,-147699781.97089958,697223.2307572118,2469777.5850131456,-591634.55921323702,700.62013354483668
|
||||
3,3203550.4984710356,109996648.68402869,99994082.449980482,-543744.66038691031,-1769616.7689873271,1890740.862995035,-7168.9901546747215
|
||||
3,3232786.3573101312,79269262.858018368,125137372.85489759,-658114.44162170531,-2212323.7852268117,1363442.8711869507,-4539.3974198828519
|
||||
3,3306881.5332143093,149264702.63286835,16223303.397712806,-229694.26266593579,-315866.08134514594,2544478.4656246034,-12791.975144370754
|
||||
3,3325689.3187076421,-147947684.54124546,-17663746.830169681,242063.25036694063,267418.1663775295,-2569819.7815714357,13237.63471966175
|
||||
3,3339211.5422046753,-144560701.04392263,-37317702.903443389,348599.1519570697,605688.0662542379,-2506350.4114467604,12741.338597258862
|
||||
3,3437671.8906649854,123008686.19745123,84178841.172546238,-645671.02018317499,-1490637.404163599,2109139.5427640094,-10641.393311747848
|
||||
3,3545067.3353613606,106220529.81214897,104085606.71251056,-828036.02746962919,-1837681.45622397,1823056.8787557615,-9256.4947514745163
|
||||
3,3605229.621254039,81053694.083637238,-128408454.6669517,753614.76693401148,2140324.0352078751,1358194.6000267863,-12595.535928064681
|
||||
3,3671571.7178411912,-146677573.25501081,22268079.569568112,86190.709108891708,-421925.12077000953,-2560188.7498012632,19182.984508447029
|
||||
3,3774449.7754612248,103599206.57549891,106751286.95656808,-1028674.0413001495,-1882044.3131131972,1776166.6294597508,-10217.474176998237
|
||||
3,3975775.5296189105,-64457590.443318881,132545610.72983046,-1020603.4732512607,-2348397.5189324683,-1142564.2871936194,15754.720551250231
|
||||
3,4077162.4576984812,121213608.81513618,-90976450.023886353,533449.82235579053,1511708.9067598167,2040932.5729180025,-23199.34820865003
|
||||
3,4080380.4699281119,-34928415.284438215,-147132894.21781135,1478688.7624195346,2470837.6350639677,-611915.12992453505,-819.72132154885014
|
||||
3,4122988.5987655688,-96487082.819234326,111523021.25796898,-806754.5156695256,-1979410.7776263945,-1701434.372289137,21894.311126905031
|
||||
3,4155581.6111736093,-121066532.21217069,-88323433.32846795,1213129.6291519869,1484049.8216993744,-2096660.6442403372,16307.692789219946
|
||||
3,4201672.4632230625,32838313.016949091,-148065369.46169442,1389159.6774861175,2480013.1167629818,539193.50504267926,-12834.299135301029
|
||||
3,4335543.4811457656,-40995966.393005252,141710242.19937423,-1381168.3068033662,-2504000.1740589165,-733477.00998630887,16305.78871651368
|
||||
3,4407517.6630313201,-84714363.365873054,120735648.80488335,-1034062.6142048294,-2138027.5350664007,-1496488.5081555359,24245.729378910997
|
||||
3,4550384.2230565557,-148149908.64360163,8279682.7448617453,498246.94406428246,-173777.11186999021,-2588393.3485590592,31189.552381254565
|
||||
3,4563257.2600855278,-15086015.736443555,-150461979.82230121,1842762.5169491617,2530507.1967647355,-275765.17999450484,-7011.3605983337648
|
||||
3,4727566.9422645448,-129457883.94592711,-74640629.756509691,1536502.0818833432,1256461.7312885774,-2248776.1766818366,22606.28400362239
|
||||
3,4787979.901907431,149051048.57161927,-24028679.207550995,-404495.4036820149,380716.5490998,2520979.7040639399,-34334.66460469571
|
||||
3,4797263.9821976107,-117856227.52346838,88990166.587431177,-582764.76364190842,-1579551.7380540567,-2073182.2703396298,34444.853243937672
|
||||
3,4888502.817972417,58072229.42600213,136680995.74343258,-2123384.6922365944,-2396885.1475537629,986579.3250033044,-864.25478054305233
|
||||
3,4906853.0408161199,-134201344.24669653,62061183.558124714,-135747.96799931221,-1108250.3142035822,-2355585.8636102108,37408.947990988141
|
||||
3,4908491.6637900053,129598557.07277545,-78320470.242188171,378221.76023174636,1303140.2536042235,2182414.0278279088,-36122.633135225471
|
||||
3,4968789.0632644892,150701629.8751978,-5466005.7132380288,-741590.30909041304,65407.216299299995,2551695.2212103806,-35338.576654844088
|
||||
3,5039162.001057867,-73563479.566026822,-131138390.60974964,2255264.1355422321,2217501.098094515,-1279128.8552016104,5363.4492955006308
|
||||
3,5176060.928650463,-145469088.08833179,27932066.538858507,489792.55483316752,-511376.35145701043,-2547717.5639757803,40355.807948861584
|
||||
3,5210208.1565704886,144664720.56738016,-43879615.477958053,-263834.41801816871,720780.25512278208,2441952.8699616203,-40547.43767473811
|
||||
3,5216035.4154041745,126858460.57919021,-82677493.697710663,419698.50559006963,1379125.4142811683,2135191.8020489272,-40253.024065973746
|
||||
3,5255953.5429854253,51298962.160488047,139436511.0871008,-2413977.0613277666,-2440969.7018546457,868084.69568874629,2824.5809134347433
|
||||
3,5325082.7566090981,-143858353.05136642,35071685.163576409,434998.20041541418,-634679.3098669746,-2520754.4630484474,42632.015077610726
|
||||
4,-1931070.9484683401,-211738388.8655664,108185128.19590554,10187643.552340414,-781229.2065476866,-1835356.9787803483,16256.785354280935
|
||||
4,-1722220.8563856122,-218723708.39287463,92445839.032442227,10289440.486836215,-644954.16955395672,-1890468.337578818,8143.7429213234873
|
||||
4,-1624845.9708735053,54090759.269637667,238502482.23803151,230571.57212996174,-1869756.2488725362,502738.47373643838,84689.813069798722
|
||||
4,-1618826.2036244983,220209096.96770921,-14562209.921759006,-9497767.1027516779,307035.08437510883,2128182.3705627471,9564.4436693463558
|
||||
4,-1589915.7910634428,205781229.52217707,103781092.01855923,-7603271.9926808514,-771333.47941690811,1909996.9138242856,53127.99172535439
|
||||
4,-1563274.6505421316,106754008.45343758,-180305050.35131761,-6461385.1631606948,1966417.7302760417,1110530.1812307613,-71130.725706463403
|
||||
4,-1516451.3542829594,222097810.51478124,17013292.185816936,-9174670.776160907,9588.349449281568,2130831.1999232462,22955.530196895255
|
||||
4,-1413358.1385084488,201861117.86343461,110950911.4689752,-7193883.8044459419,-838248.09732840094,1883045.4511472473,56386.555702698672
|
||||
4,-1355432.1149842155,-158885370.64703193,186543048.21858427,8769278.6455395948,-1424101.2318228038,-1305689.885864743,44342.476744503059
|
||||
4,-1293456.3303186039,-208032734.92541209,-85297454.177318335,7635448.187030755,958157.22009760002,-1881228.2386964115,-61805.947280644323
|
||||
4,-1234093.812943904,220149733.47317326,35188907.908792056,-8678541.8644225113,-162627.47181680641,2122943.8834682801,32008.401272415096
|
||||
4,-1095864.2207655469,35974353.224030659,241628565.46932089,1517080.3417419149,-1902858.8990154052,369738.80026160734,82403.148594303508
|
||||
4,-1055927.994716112,-132249369.322054,208152236.47290266,7994871.0965782553,-1599916.7481770464,-1058899.1166669419,51997.807687241446
|
||||
4,-1047104.6200182812,65557435.105190076,233615522.21715349,256337.46746291555,-1848422.3547881979,629348.29531939479,83204.603542988145
|
||||
4,-924303.78151505254,210319784.55648705,-46799077.924466453,-9091427.7436621208,617776.29342032131,2111879.2838693587,2385.3466784798443
|
||||
4,-877481.17906051292,163271432.01911944,167154438.78569382,-4376070.2165729804,-1332477.5602968489,1533338.5123023784,73625.272130959638
|
||||
4,-860973.68683929415,134176567.55540699,195077884.69373018,-2822602.3104083943,-1559844.5358104713,1257854.8645711935,79142.663769975581
|
||||
4,-833468.43978301296,90343565.628691748,222766907.34944165,-671913.54166601179,-1775244.0517194916,858904.20279249991,82458.381032960562
|
||||
4,-762091.2296500362,189392105.04439136,129213433.12728393,-5800458.2591689304,-1015950.5406391077,1804575.91888553,64726.600737881294
|
||||
4,-730502.49436991126,200607208.54107949,106067367.3573961,-6526017.7939509945,-815580.08748831821,1926954.9516575469,58505.468430033558
|
||||
4,-666421.15642042435,-117726509.58293603,217460055.25274864,7640220.9199325321,-1678625.209233653,-917556.78989703744,53638.416596835763
|
||||
4,-639028.89346137433,44257215.339523129,238665579.80021682,1562234.1197807014,-1896559.1878559424,461447.29927745246,81080.74775539845
|
||||
4,-592717.14191114833,-189517803.77125895,-120481694.17059074,5745433.3216760624,1278980.122602449,-1683012.9040596543,-73716.259792094002
|
||||
4,-572098.15215920145,-176605474.8306269,-136060713.94250098,5000135.5443595592,1433554.8921221076,-1574067.8960799195,-78253.453416164353
|
||||
4,-540886.62030778546,191292671.76276994,123626131.95590007,-5715650.5877923621,-975633.58043708687,1842328.0660764189,64167.7346556185
|
||||
4,-527255.34522495489,184958397.44011676,-101332579.45544635,-8649545.6852692068,1162423.3504676362,1920756.4186749589,-18030.704066518105
|
||||
4,-494321.65565781738,121582818.90593003,-169242847.31991774,-7146647.5849570585,1855283.9894204307,1308146.7917578716,-53390.433851805574
|
||||
4,-438232.82740092021,-235118338.73172912,45004170.746943548,9741410.0455262344,-237467.15636265083,-1966457.1977880506,-19299.218766213282
|
||||
4,-399851.01195660583,-154524027.33135241,192844834.55939776,8767531.6826605424,-1475948.2819871942,-1219300.2639318171,39041.308464359317
|
||||
4,-352126.80209444487,101216293.66909704,-181960780.56636709,-6564027.3685690043,1981906.7595154284,1110512.2489205066,-59601.137540910073
|
||||
4,-345736.52423540223,127440417.90264587,197735668.62050906,-1962260.1445252034,-1602177.0992429813,1225793.8152602869,79485.239855449516
|
||||
4,-308992.04277046374,-187767589.51008856,-124703169.84254909,5312033.0561770769,1309720.9891765777,-1649433.6557300063,-74541.053245853152
|
||||
4,-162282.65303595481,73958045.088448986,227494625.73447922,704909.77285645506,-1837002.7994718936,745400.53836380632,80508.801671426452
|
||||
4,-161341.16243980057,-232364001.22040901,-33097387.057978805,8230165.4599960856,445127.88332442468,-1972358.1749134434,-46974.134175952706
|
||||
4,-123299.20634868275,195303839.48719901,-79587885.489992648,-8543626.9062284864,940797.3392805187,2038584.9979065557,-3754.4532617709597
|
||||
4,-91540.781198035926,103970969.85783973,212331918.75120968,-582121.96364279196,-1727515.3119964842,1021707.5809871838,80360.286630550429
|
||||
4,-35559.2392620272,-168088783.30896798,-148010976.65889251,3912039.8129616478,1530285.688859011,-1466626.727782785,-79812.521137085962
|
||||
4,8158.6950809895061,-61800652.28395509,238317343.20135981,6055232.6103028031,-1875626.0493038632,-420889.68846789753,62597.20676325653
|
||||
4,202162.97261313628,-122930140.70280984,-182688246.05417016,1445471.0720432356,1879090.1024124876,-1055142.9057797871,-85166.75472900692
|
||||
4,239617.69203267759,38988518.413535744,237150304.31090769,2511253.594147122,-1920056.6333494738,452761.90442204784,76514.676199417037
|
||||
4,270787.3655638881,-223079616.50280577,-69402372.996921226,6841193.2491190741,763042.46144176996,-1882880.958367514,-58567.048032875522
|
||||
4,561234.5694453516,-162629104.29830337,187167358.2210204,8869941.6186791137,-1442585.2749099385,-1248131.5322069994,28143.00644068982
|
||||
4,592877.97844298882,-213301918.71803233,124395014.74106802,9509846.6281557102,-918346.93319941417,-1681809.808270568,2222.7274048056438
|
||||
4,748179.12404572079,-239851462.01530817,43801322.113406688,8860189.5733564496,-245078.08253687745,-1927216.4485032037,-26170.369065248124
|
||||
4,758204.3348741713,173188547.48094204,142314090.73235261,-3279628.4429937475,-1195444.1896578211,1748606.4460863487,71482.131984370382
|
||||
4,996119.41169322701,-199606477.46841392,147347543.70506313,9206248.4793887455,-1117303.9590530968,-1544589.6228626883,7779.0263057143511
|
||||
4,1021164.8378990432,126208584.52106299,-164921186.39349279,-7140126.5923302108,1786197.453825776,1413355.0904477874,-31631.518875060494
|
||||
4,1255414.574490115,105183787.56633459,-179905797.17392647,-6708893.3925999114,1924231.2925225103,1205074.7309366385,-37062.799594997145
|
||||
4,1285934.7215993041,-59054478.362006381,236163199.23388195,6347750.1649159519,-1912411.5625893169,-360443.67320543027,52467.836470319649
|
||||
4,1333045.615201538,109043566.35051669,-177484270.50287038,-6768496.7546334649,1898748.1138225852,1246715.7374410352,-34516.464483653312
|
||||
4,1357749.6773919091,53480123.0103539,-204028922.34504053,-5571252.095019469,2139101.8385822251,682577.22428820829,-52449.973685025841
|
||||
4,1436352.402529336,534581.54034487519,238853785.53669214,4623651.2608445734,-1979700.7243212247,156328.64499714036,62939.13372099767
|
||||
4,1565777.5461319904,-193209791.01915368,-131403826.12014377,3128044.5137495692,1284867.4753293169,-1573946.0579631913,-68975.194518199802
|
||||
4,1769003.7600121726,-232018291.75828317,88154704.252040163,8373712.4176089223,-641505.13176462939,-1794511.7533947993,-17704.154675958456
|
||||
4,1795956.8823080864,-129520132.55379656,-186477078.95376354,-76753.345523766213,1820306.5371998276,-1030494.5117031734,-72263.198703853646
|
||||
4,1858996.5446232599,-231380261.67767501,90374945.491704047,8297572.3997528953,-662564.90754883166,-1785093.0737089992,-17506.193039309655
|
||||
4,1910128.6727151419,140697311.03299507,-152659992.14966318,-6991334.3672346566,1637124.2778829783,1584877.0528332375,-13215.813416117629
|
||||
4,1921825.2573348898,167283808.74759382,-121780196.53223294,-7092255.7183375917,1330012.9478909795,1858804.8692924972,967.02861393276555
|
||||
4,1933220.1043110229,-244527658.58833551,34656873.218848124,7443919.36309864,-197556.083460097,-1906032.1547361074,-33262.397364809323
|
||||
4,2008035.1489841179,-199027435.82240194,148983488.77356815,8444658.6246469878,-1160029.1760144257,-1507675.1073270806,707.58347723423833
|
||||
4,2145109.6278560166,184848709.57733524,-92479412.1695963,-6778590.2283530366,1027546.0160879821,2044180.0978659,15032.737457352518
|
||||
4,2240103.331075517,27349774.330721557,231680284.67806891,4095010.0190459476,-1991813.2863950201,418199.03846381704,60087.691186072429
|
||||
4,2269749.9807109777,-168422218.14042926,181114368.33604094,8078905.6839130167,-1447198.776831964,-1251407.6790502898,11137.502429530943
|
||||
4,2326398.4397361521,62176114.654211849,-203207736.36495066,-5804816.5634062197,2085633.1776071724,789343.13441156258,-36364.32015188456
|
||||
4,2439374.0622833427,-66319713.051445641,231006592.10003453,6470894.989906556,-1932200.1804417146,-400329.77132095478,39248.831863987507
|
||||
4,2451545,208048078.42127582,-2007244.4472496153,-5156305.5956591172,100455.76008866659,2271980.8102510222,45126.399826216199
|
||||
4,2460000.5,-98564071.848701105,221732403.22500572,7064801.5036379993,-1833711.570115159,-672400.84202191024,30887.790410253005
|
||||
4,2557666.3751890045,-240496730.7643497,64381844.269567214,7114372.965350586,-466704.18058366311,-1841268.9413497695,-27570.781171132265
|
||||
4,2606665.1170293968,15592888.290926484,-216336732.2774989,-4928920.9890018888,2161756.5604991298,333670.03026143875,-44100.603430082017
|
||||
4,2619507.220755944,-245323120.28657204,40330287.129102468,6634067.9255712256,-267357.68066366285,-1883586.5210862635,-33416.597489345237
|
||||
4,2688874.7699650759,-238526762.68578681,72116258.796344861,7047682.445782789,-536034.25556678895,-1820408.7917058158,-26060.640346502041
|
||||
4,2727265.2162081916,-150676509.35689628,193802873.44658124,7554862.5016626595,-1583823.7973228742,-1101146.0247081241,13013.074696313173
|
||||
4,2789075.9653556263,-121891465.55829018,210637681.59707567,7213143.7270578388,-1745004.002549578,-863848.56230226334,21039.248070943446
|
||||
4,3067331.9864320979,-170252480.79880112,177667894.17060637,7327098.8152405797,-1455553.636966289,-1258350.5916119174,3543.9441820254451
|
||||
4,3073813.8175774403,18546458.581311017,-217515954.48926196,-5014153.4279024564,2142442.4083032375,369260.09795311815,-36692.093373121876
|
||||
4,3080166.4188349219,197427708.26131457,70998806.988956735,-2587048.1992779113,-651830.41268492874,2160656.6285826052,59508.526935201175
|
||||
4,3083588.6219172869,203927995.95478776,43002655.35942816,-3312481.1960353069,-375197.7613862849,2239589.5248804591,55444.87247716335
|
||||
4,3133271.3294226751,-154401881.79075933,189998188.71105036,7197364.1191732436,-1571082.1597107768,-1129178.9268965526,8044.3986223221427
|
||||
4,3161301.256607159,105627276.18527241,194240628.91277102,1996074.0516700703,-1786337.4291827262,1191567.7149535683,61528.156767490014
|
||||
4,3177250.9576433105,-173991374.38358983,174042204.85706094,7210176.3045587149,-1428940.4309275448,-1288178.5067684613,1369.1735029256788
|
||||
4,3208473.1149532385,41795974.648254313,-212704063.31616586,-5360491.1148544662,2105693.1286452478,597369.52634886908,-29291.938617923512
|
||||
4,3280521.2034474742,-131724019.0614903,-192951628.17420617,-1537273.3666893907,1777396.1466605347,-985974.04496981169,-55626.312821915359
|
||||
4,3437818.024637864,-167593308.57549387,-169200114.05120161,-490197.79010967904,1529582.7179996276,-1277089.0820872127,-55400.635850889019
|
||||
4,3478048.6374966232,8115987.1561161149,229325473.10862294,4714987.9013506118,-2052193.0706402964,269918.78383661952,43162.336352575716
|
||||
4,3572999.510567978,-229301599.04069126,97375559.362511665,6102824.992138586,-782701.97615889797,-1729710.4235703917,-22788.254001066161
|
||||
4,3607022.6735171964,196388791.38634801,-62659190.374923974,-4743829.2095267558,672429.11267649091,2193050.7706047543,34626.366964322937
|
||||
4,3704275.0038312087,-248457705.36590779,-19008038.811728392,3771116.2990650469,190413.19589002826,-1888383.2859551229,-42954.269168022824
|
||||
4,3773929.1366995303,166565373.15997213,-124759467.97612466,-5340261.4658636004,1284639.6792667359,1876427.0343798408,18398.378275340121
|
||||
4,3894114.0626205932,108373464.17664041,-183664639.77730158,-5518868.0480814762,1827273.2022410231,1265974.8453687564,-2025.8814385663104
|
||||
4,3921416.1735839089,-213676243.98920044,-120066357.17180102,785861.27353925596,1048035.9906308226,-1623754.0775517104,-49948.759563697378
|
||||
4,3968634.8932288503,-151453526.9506112,188992987.52347896,6208851.9577132296,-1614127.8532289285,-1107614.7108196418,1331.0899806067864
|
||||
4,4052277.3809994301,163765680.20772663,133005535.88004608,367396.04837316606,-1303363.6726546281,1828490.3029075372,56724.972640585715
|
||||
4,4086551.827056977,203766751.58045053,-28470817.070660524,-3503155.7701395042,306071.94409760763,2277520.3233998707,42564.339579160354
|
||||
4,4109040.7027512658,-91828329.168722406,-214343787.67728952,-3108909.7237971867,1939807.6525719077,-621002.76740466314,-40256.810727165197
|
||||
4,4149639.9925093511,47397768.149022974,-214627314.20773169,-5061837.459084088,2058024.4886719643,655663.26233058062,-15160.480734501753
|
||||
4,4228945.0916803954,-49786845.499193393,226203305.73194665,5276433.0697981231,-2035908.1316343823,-246652.42697444936,22217.805062759526
|
||||
4,4240757.7177511035,-240218008.03604192,67206642.812057897,4565587.7284239223,-555689.64569266723,-1812741.0184406838,-29515.614932390388
|
||||
4,4253107.0509286588,-229163086.12664083,95993391.406672776,4983051.0108596357,-801254.47823111422,-1727542.4333721998,-24541.167075552425
|
||||
4,4328687.1229854897,-238062329.48582917,73650835.58599183,4518375.1565164467,-614203.03627123334,-1796018.0761602418,-28461.949201354942
|
||||
4,4558065.1688616257,-155761565.00345182,183401989.63957191,5365617.7249617381,-1601140.5712150102,-1150130.3731262079,-4690.9723865180013
|
||||
4,4564275.7312309472,-195647693.17926562,146789256.09194762,5082398.1126858732,-1262144.4147476114,-1469482.7672737692,-14821.896022544866
|
||||
4,4673454.3682588516,-115615556.76646952,205918658.50168696,5215037.782782387,-1835792.8883531445,-819598.43627948454,3309.3080079929223
|
||||
4,4693409.7711070431,-170914827.21919313,170912017.83234683,5084392.1393258022,-1491347.2466726312,-1274736.3289692672,-9274.6478493377399
|
||||
4,4693803.1919051223,173353556.17588347,-117054442.98368001,-4064118.0724652847,1162491.3069806744,1942220.1566946069,25616.527051451092
|
||||
4,4801490.3102042498,-139040748.45261738,-196581916.79696554,-2413630.1409350522,1695746.3983042846,-1002628.3320122008,-35520.97355999711
|
||||
4,4868308.2020280585,185648989.22746027,-94113488.663532436,-3491046.7868313277,930482.29450720758,2074922.117726079,30674.123909831684
|
||||
4,4881001.202090512,-225911960.81155404,100075239.06486316,3952268.5942599401,-866949.29458961089,-1708671.2778504067,-24338.594474356854
|
||||
4,4893365.0687342845,-224406401.41613144,102964779.31621125,3972232.668197812,-892548.64576674963,-1697152.5735995998,-23894.758066983341
|
||||
4,5014098.8058685018,82846129.292859972,198665533.24683085,2985480.6814731816,-1957286.7758963373,1012793.3370014146,34912.617717587193
|
||||
4,5043839.3714237846,-242540348.77329808,56079293.857993558,2991133.8987358431,-497085.8418987242,-1834329.3519190084,-29708.38022474806
|
||||
4,5064945.8377033202,61967837.357897952,207982070.32404724,3316684.6697251485,-2033505.2143373305,804189.09550206037,30886.388075820843
|
||||
4,5073893.9643627144,25842010.991480954,218886957.75555208,3799021.014450442,-2106467.6889360938,451709.46374686889,24875.68870328688
|
||||
4,5081856.7743789777,15020227.608504133,-226519459.58258319,-4253576.8964984454,2064202.622054063,345310.09669225296,-9873.8552434515404
|
||||
4,5095919.5884942086,-62978803.021326266,220203527.81035414,4499469.2222252898,-2041152.2738220629,-369616.66958913545,9076.6381779773765
|
||||
4,5206904.9168700986,51281029.880297564,-217944318.36209565,-4248995.7476576278,2007634.3069349073,686274.16328875092,-1884.8184700912113
|
||||
4,5242087.2074043704,200982699.49994895,41567630.857829213,-633009.05130108853,-457474.28034418903,2257566.7619875916,43107.455870725258
|
||||
4,5283235.3823237317,176008114.96242556,-115008936.44678837,-3172707.7410859959,1111201.8080244993,1959806.8799582438,27149.704883956867
|
||||
4,5284761.4890505355,97768561.470396757,189090524.28486249,2681609.7793860463,-1896071.9392995874,1168179.6083522923,32915.411764754936
|
||||
4,5302649.4996310193,44669608.255684927,212961865.55448472,3438547.4148120712,-2086499.5055291164,636005.73706616473,24531.136773175032
|
||||
4,5313691.8498331131,-62207448.707705207,219271195.94744432,4222169.806689851,-2052219.4969662167,-365752.03390596533,6656.8243937273965
|
||||
4,5350965.5230770763,-248486556.5688425,-33193758.293741483,944788.35003149719,239436.10105617842,-1870431.2292456739,-33854.974216671893
|
||||
4,5372224.0600400986,-246269405.58313504,37826013.498467259,2124815.5567590259,-356975.00636240671,-1864728.747637918,-30004.329694594195
|
||||
5,-1904201.9819930857,-64339276.971482791,-780686534.51544917,4208351.5555788465,1119263.5347208118,-61079.314629761378,-34359.146481495132
|
||||
5,-1898841.0148342673,751404532.51988864,-92634129.523711786,-22912814.951869972,132165.40707341296,1151775.9502748901,-7356.0711783350889
|
||||
5,-1751018.9153907483,585445444.15300381,481330802.21205556,-19216812.324838057,-721451.54168747354,906035.06711363548,19639.521568159234
|
||||
5,-1732093.7990164298,-790851126.15540767,122230258.14845693,23842830.481048014,-177490.92982140894,-1082343.8192493964,8323.6774134731186
|
||||
5,-1691548.3053922951,335522081.55716783,-694462319.84976494,-8397066.1354587972,1010601.958203367,524091.34847443039,-32195.089263691127
|
||||
5,-1606249.8621290897,-796062172.61890113,-85244951.19318518,24339258.021243166,114718.52422042993,-1090376.3200102744,-722.02243263368143
|
||||
5,-1583060.8169025772,490318374.14756674,-588971254.77905798,-13369927.568018081,861776.08230656025,754917.22674502898,-27966.359962414139
|
||||
5,-1569513.922424966,754725275.79895854,-30829626.189287242,-22748416.093460958,41337.279195872477,1161286.5549381475,-4115.1124328307915
|
||||
5,-1566750.021068665,-554218080.62869751,-571078692.29954028,18170053.185260646,805341.7335238622,-754033.20628089516,-22493.139665572988
|
||||
5,-1435621.7446177653,600056860.96676874,-467720628.61418015,-16895779.735247981,690335.21296288085,924665.04648542672,-22898.329435052961
|
||||
5,-1235318.0336190355,493286261.57893497,578646728.78505421,-15848337.002399117,-862766.53694504674,767232.10852864827,23867.690651500958
|
||||
5,-1155888.590707452,-784388524.19850802,158384188.43363023,22768227.457344994,-227765.79416905943,-1072951.6583633644,8975.2980357361557
|
||||
5,-1074445.7947135253,-119102959.42722873,769960022.02033985,1881588.1913620725,-1118562.0589360835,-137745.71694928023,33030.100742584917
|
||||
5,-1071924.0117630269,401825611.97365403,-653581445.71057427,-10399798.90607059,957855.03856044682,626275.33479997306,-29340.590991776087
|
||||
5,-1045852.0499942055,472115133.6409232,-601561599.17684746,-12546689.395300023,883924.5862959543,732682.31323958386,-27341.060918385137
|
||||
5,-813491.59623260843,-802664652.15517008,25623226.726280294,23018379.754214868,-38611.630778637344,-1092124.5981915232,3205.3130991672888
|
||||
5,-729888.82331964793,149793716.25280842,-759858772.98007035,-2827705.8691639509,1104391.7362984039,256531.35878706392,-31995.396439023138
|
||||
5,-716867.51020104205,178325333.44722351,-752967600.1187222,-3655426.1930012438,1095350.3528475219,296805.82769775274,-31787.515881298579
|
||||
5,-715647.59991219989,654368018.03416562,376467372.77056682,-19367592.897474606,-566111.32867014338,1015586.6382747648,14211.492749694266
|
||||
5,-673893.37115940941,-214837415.41676509,-756761345.65472269,7518887.2291366123,1082764.799349288,-271653.96264339436,-30241.264219958797
|
||||
5,-554805.63565502502,191004565.5391463,743960359.96024776,-6715750.291923332,-1098069.0020740614,318290.46381181531,30352.302788084748
|
||||
5,-495360.67746518832,651748592.06917143,-384503541.90768188,-17586200.26676609,570569.79682600801,1010011.5171660467,-17819.603954981612
|
||||
5,-440204.00122822216,-489481746.2115702,-627262421.90003085,14797044.262317555,887123.26509406266,-655965.13933037268,-23575.492556596721
|
||||
5,-388189.25410126615,-464051033.39817679,-645110531.98001671,14052890.795483669,913956.20058595634,-620781.06298334757,-24278.894727036899
|
||||
5,-385083.64839778002,-594387865.81725836,529999727.88156658,15562308.733975213,-753645.41643825173,-804532.42914278782,22383.13376571807
|
||||
5,-358083.90880132793,-641352707.27926147,-479096698.0578714,18637373.993938498,672220.8078025562,-866302.23031143274,-17078.85450919902
|
||||
5,-283286.1598915346,491681646.81882614,-582245272.44786334,-12524175.402104903,858098.62734534696,768950.90465376119,-24983.608176052381
|
||||
5,-245873.63921184954,-804492167.79022658,-30863752.461990997,22155809.284676466,38694.067163635445,-1089603.7326662387,834.06614731717218
|
||||
5,-209457.09095304389,621275004.83212531,-432221835.24432343,-16269813.147976426,641635.1721022639,966292.38174387685,-19275.741976068639
|
||||
5,-112018.44509654678,-669406230.76344049,436456987.76838666,17435353.1772856,-619927.30432737537,-906887.01813135319,18478.156089304539
|
||||
5,-102472.36373361992,-653169516.36235964,-464970824.81078398,18577840.891679544,652008.5646997263,-879349.97982828843,-16148.644414455242
|
||||
5,-99736.120707227383,11818293.137465144,775004939.32713544,-1698079.790396078,-1131430.6856078431,57582.602160711525,30627.194137067614
|
||||
5,83200.54146268894,-782958790.93365502,186009111.16679057,20618418.291010309,-264600.00035590632,-1058127.7943361795,8949.4637621349975
|
||||
5,95244.040576192318,-751311.73674593202,774480805.30228877,-1350551.1243100441,-1133189.7293812302,40718.094747011441,30223.713481683524
|
||||
5,123990.23325677938,499075351.90428776,-574130161.58498716,-12289465.28325198,848767.8336320488,782169.75923039613,-24034.669184797371
|
||||
5,136242.52100228099,-288356884.77759951,-736303151.25866282,8999263.1649599448,1046545.561759355,-371087.76796340884,-27245.722219043131
|
||||
5,181883.02858823352,14359447.361526906,773965045.6550436,-1791351.2348138571,-1132863.8763579931,62874.910349031423,29970.479268627929
|
||||
5,229450.68301810557,110440316.54650334,762675190.64699185,-4322423.3527618181,-1120930.9312308547,204826.85637088394,29258.182220001698
|
||||
5,265460.09844379639,-795636925.34724891,-133718642.17005754,21218904.442112062,183432.57857801716,-1072189.4831739685,-2852.0627759420149
|
||||
5,345586.57464146661,740668871.97880805,105677089.86548454,-19576838.785966877,-163120.0907993732,1161573.2785458581,2123.3720939474342
|
||||
5,462435.19693712564,746686430.25710475,-58723302.109363355,-19263798.800255157,84128.184741404286,1168653.5917149757,-4395.1316817460411
|
||||
5,481792.01034935005,-782319266.11377501,193812920.41916901,19897588.429023258,-275377.28626144928,-1053586.4039799443,9145.590725628992
|
||||
5,482875.55279528117,-261856345.41003299,-745102688.96131516,8207238.0998129398,1061202.9617314308,-331901.2575135642,-26857.550272049248
|
||||
5,519825.74351276457,8603841.7151749525,773901759.58867657,-1728464.933572402,-1133233.6497897904,56705.620680179505,29152.074164627997
|
||||
5,549075.74931576476,745312029.24800122,-68329725.051243931,-19061472.839494172,99361.32368875372,1168307.7404084129,-4846.9507797229726
|
||||
5,599396.63660645671,-659790245.62942505,-459771452.80971122,17830590.487262789,641096.53745544527,-883307.14225492848,-14676.09647737341
|
||||
5,601589.80602470925,560252316.56881392,503249615.387492,-15365874.604142649,-759228.80538609088,884393.52063656878,17697.923581686016
|
||||
5,661836.77107478539,743853328.63624394,72353531.889993101,-19103342.805950243,-113806.0275216954,1168614.2948695789,550.79207858885877
|
||||
5,693016.53723225137,124373629.2273455,757885618.33342838,-4686225.0028936639,-1120336.8860530125,228651.78334103143,28024.329668679973
|
||||
5,717468.42751627788,424061557.22699189,-634570541.44216263,-9484354.9063485637,932802.01385951473,673484.4556662509,-25039.829253229822
|
||||
5,796913.72088084603,227215379.68822926,730144569.37349367,-7258732.887218534,-1083516.4783907968,380187.76951170852,26560.132889336892
|
||||
5,830337.7069701124,599233186.22876632,-458776220.17006671,-14105475.733832138,681225.14392955555,942813.08994334692,-19155.56163675405
|
||||
5,850000.97752942704,-765203646.15865648,254779238.41448009,18673392.251310777,-362032.46856134071,-1026126.167847792,11302.792381368994
|
||||
5,889418.17472263752,-783456896.19307077,-201259834.69820121,20060772.399275213,275439.4871601616,-1049333.3581504463,-4607.764268791756
|
||||
5,961431.51358162053,343397061.32869971,676731303.4122417,-10041777.606854122,-1013083.9391263033,558693.63022203406,23948.525713068222
|
||||
5,1060125.9908807157,692547330.34750319,-287230686.88635457,-16439736.020390244,426636.2812703806,1090109.9365407142,-13023.22956761977
|
||||
5,1106175.5025935918,-736814134.52915084,-334037162.64121807,18914706.106358524,459990.16956345469,-982455.35419050185,-9032.1857615209119
|
||||
5,1231220.2172124833,-749692930.61172271,298434936.2630024,17513301.844537292,-424065.30595957371,-1001491.3212313921,12804.771310082913
|
||||
5,1325203.0652477555,495882476.10260111,565367599.50047672,-13423188.586846462,-855613.84938403976,793858.3124037591,18656.636274951317
|
||||
5,1338852.4821603564,-198123158.33272097,754456670.45432365,2854074.3031801819,-1100500.3129677826,-237809.80843760524,27168.721622369987
|
||||
5,1402922.8018730795,678590137.08114433,307484522.06712419,-17121336.440657284,-475039.69394000113,1077783.4743153332,8593.1029077111634
|
||||
5,1417327.405077422,-645249758.6368798,474952788.24899638,14241461.560368815,-676885.56937270542,-861644.76556649583,18531.277314992512
|
||||
5,1427449.1138293091,-186846837.44681019,-768580700.12759638,6524952.1435628552,1088492.8723718221,-218382.41242866134,-25553.224755150688
|
||||
5,1502838.3021728816,503854616.02550548,557228695.83230507,-13561363.624697113,-845105.21228954999,806692.27160815033,17934.28110420749
|
||||
5,1504854.7316032085,-697652501.19165611,-410336935.43087333,17780520.181407351,565043.411461727,-925404.54951629671,-10922.461900982888
|
||||
5,1807066.05181049,-491048373.19378716,622723515.22634947,9491044.3529208582,-897050.87022865401,-649083.65648260654,22977.273795670611
|
||||
5,1828688.3610051037,-452677053.907386,648781718.62161517,8472252.9852664471,-936494.93277720595,-596002.76495206472,23710.63818142486
|
||||
5,1853232.685172698,742786560.6907196,-21201380.469793908,-17197269.631125189,22317.005195885999,1180513.5798221,-4320.812591088039
|
||||
5,2015964.046858497,-760626107.69551194,-289683222.55776817,18477312.282969803,391907.39706823113,-1004138.3235384589,-5577.7848669330751
|
||||
5,2042215.1149636884,-616721709.20649278,-524416272.54064661,15966089.84560648,720976.00339054968,-809583.10881584068,-13750.005579674567
|
||||
5,2047885.2355123297,653131980.21134424,-369585069.74073565,-13706055.463620845,544002.84978624643,1035370.4676837435,-16074.105500258194
|
||||
5,2100710.6349458443,517628541.18142557,538669429.22167027,-13762070.448704878,-825951.72568549018,835352.01620298333,15916.851921664767
|
||||
5,2121300.338518301,479694793.29176909,-590071710.5437125,-8830208.1885396391,864808.7224804305,765092.42814903904,-22512.046312861879
|
||||
5,2203117.2804930164,-45429672.307900295,-785808461.41882598,3971179.7941134558,1115624.8867915631,-14246.031245263195,-25280.987524525986
|
||||
5,2227476.7784229773,-615121087.47825956,510572609.55132121,12007433.464931509,-733718.60292406788,-817308.69496112131,19704.776369205381
|
||||
5,2243525.9697822123,636032699.65757596,385092716.12350368,-15858956.716025896,-596777.43386097159,1018017.7615052902,9641.5392324780369
|
||||
5,2330739.3062638193,109701920.1690699,755352968.94923449,-5425639.9841751019,-1130183.6403220084,214960.52717611918,24611.302702177873
|
||||
5,2334270.0554389013,730277258.43783498,125662184.0473599,-16936710.584921613,-204190.76088895759,1166081.6530197605,33.988555410024333
|
||||
5,2358028.5104839718,-812008305.89386344,-73239751.70746173,18559600.885604732,87824.983855072554,-1072574.5346703373,2268.1870410817137
|
||||
5,2374866.544226788,-677066347.18746507,432048171.79515052,13497281.878111588,-620267.8946011638,-899949.01499818836,17527.162209895236
|
||||
5,2406481.9522091486,-327790343.92186385,-731056866.90672612,10318384.746013584,1016371.2784194491,-409363.81651449442,-21160.598696722573
|
||||
5,2437523.0593971862,429763322.67289937,-631231275.94788611,-7033482.9327899357,920665.84062352835,689227.13388509746,-23458.265820751923
|
||||
5,2451545,598567813.76204681,439604585.95339614,-15226839.64867932,-683409.35478732095,963890.0868179244,11306.410187360887
|
||||
5,2460000.5,707285134.77971029,219379856.3466478,-16735540.926316492,-347920.6405507329,1132391.6848131875,3080.4666150679236
|
||||
5,2486786.0300501743,31190544.34160918,765255141.84576511,-3909885.0409400463,-1142315.8323879293,98657.430811620463,25105.503395589465
|
||||
5,2495163.3148093577,348564136.92196006,665953858.17141879,-10599393.619298594,-1015558.1928091808,576925.71228521853,20227.73383875638
|
||||
5,2498064.921851078,313369129.43447959,-703716243.56231177,-4013210.8180206493,1018005.6372780193,513223.1423573466,-24883.101066027393
|
||||
5,2510926.3079226725,170569271.34094128,-759324992.71103263,-567033.6514566642,1088108.1312155661,299614.4291736579,-25536.144025766698
|
||||
5,2923786.3514651647,606583867.72662294,424393477.3500244,-15358125.453585537,-664095.02503654046,981421.49868536741,9594.9536889114206
|
||||
5,3027781.5188141204,594823673.09178257,439773751.29439569,-15221678.722191397,-690426.1406432119,964142.49321150186,10014.66799081864
|
||||
5,3118001.5442348439,627936722.20297873,-415654349.0416773,-11369171.06054634,603936.55740902608,997075.10352335509,-18468.167202365152
|
||||
5,3139597.5332193002,583563306.57252288,-481392549.73000956,-10015510.924463313,699302.44810106384,926203.33978524629,-20179.035784077583
|
||||
5,3223311.1541780243,49599565.221642062,759655093.61784136,-5320069.2641881201,-1146398.2175054448,127836.20544347606,23997.386234664937
|
||||
5,3267010.0717140138,-365867295.00671625,691591701.31015766,3955840.9384244783,-1017574.1373311263,-473998.26256381173,24591.072492326355
|
||||
5,3303495.1292049671,-158106015.93722278,-781418964.57087874,7888403.5880859783,1088366.6136474812,-168285.75239210614,-22449.531103880592
|
||||
5,3308225.8886620579,278017256.56654727,-723193931.61295307,-1821958.1320972047,1035834.1035550857,460735.47833917168,-24925.3671761757
|
||||
5,3344962.63423834,-337507968.03142864,703470938.97134364,3149194.9233510611,-1039140.3788673934,-432518.04908518208,24859.680564203562
|
||||
5,3416106.4454053668,-192949851.57145295,-776160967.72275126,8790121.8279623836,1076160.708068921,-216706.98012126292,-21788.330037834749
|
||||
5,3496702.75722194,-433132584.50148046,654315322.27301025,5218438.0663591661,-964277.99383829371,-568433.130197049,24126.902036987398
|
||||
5,3711828.8837918751,730822229.17358983,-131136382.09966142,-14701257.184563423,176694.93337357772,1168336.4687480058,-11480.387227443469
|
||||
5,3736885.8356647966,-10093895.731266193,-793514598.82638633,5525619.9788188096,1105758.7863239835,41013.644857821928,-23817.904236740484
|
||||
5,3780369.6095781131,163045290.65667036,-767677162.52222586,1750275.9259097984,1080921.6634246553,289792.92766879126,-24952.711340618087
|
||||
5,3820573.7092334693,643409127.57305777,358869020.4247601,-16132244.531108947,-574122.46907941485,1042878.7122507328,5039.5845067306145
|
||||
5,3836314.1055572927,-254644013.4935649,-763633150.04959321,10670295.160539089,1047885.9417159081,-301435.3856067867,-20165.240027081876
|
||||
5,3867169.9948296491,314810588.70014244,-709340787.69685972,-1735540.8528347895,1008771.2107020781,513198.7855522483,-24970.342931510913
|
||||
5,3876709.6657258002,722409265.44213629,144586737.80660152,-16332322.689101394,-246688.41034722794,1164629.9627487061,-2892.2310674086684
|
||||
5,3970788.1550345961,-79569649.921614617,-793311915.46849442,7376609.2875085836,1099810.4033548036,-56292.268128061856,-22917.070541095829
|
||||
5,4106093.2560905134,729648166.27189863,-138321607.14670557,-14421857.333484152,184273.87125445899,1167046.4932011713,-12650.673307985475
|
||||
5,4113061.3243086124,-702027712.64754188,-424556051.66321594,18066684.939094331,558089.69138685416,-911999.29079546116,-4964.3950608445448
|
||||
5,4239719.1714530457,256470482.90662622,-737410902.81673598,302325.1048632313,1040613.7209190927,427442.39836026839,-25337.357872498444
|
||||
5,4305182.7023277488,650398029.32829106,-378374062.43675911,-10776392.50327451,540578.61272245378,1033821.8185729812,-19623.255188450883
|
||||
5,4418854.537258558,323086485.2410236,668823113.53769445,-12319724.811019238,-1046303.132541917,548104.17261016706,17676.940810932265
|
||||
5,4505943.5836811168,-167883405.09820303,746058434.59825671,-2694787.1579090902,-1132112.5642111246,-192065.09320175223,25580.112423266746
|
||||
5,4730606.7309466451,511013631.09138918,529391123.28515691,-15557351.111027595,-844362.07610302919,841165.99302184803,10482.439051546717
|
||||
5,4812114.3121562004,660293782.44991851,-363707355.32110345,-10744376.690611646,512152.21308364219,1045856.3509869148,-20351.55610126051
|
||||
5,4847799.1757214339,312195422.20784265,672493623.62804604,-12771338.690886471,-1057837.3352243493,530228.56569992215,17656.892110978944
|
||||
5,4995518.4465233097,-155897737.33874846,745068970.18900084,-3697534.9127593818,-1140028.8471957017,-175660.43274927465,26007.580256876874
|
||||
5,5048080.5737637086,-684486022.45706999,407451361.80352765,10754547.019270863,-611979.3612400759,-916853.0990863099,21851.658416875685
|
||||
5,5051713.6093770387,-7780399.2422511913,752534130.30532908,-7041560.6356284199,-1165618.5120287908,43163.706035028394,24519.289033850597
|
||||
5,5165178.3518149359,-746475032.32346952,293373135.65350407,13128381.10676262,-449365.36426387052,-998040.73537183704,19415.292204516467
|
||||
5,5252654.7619642029,-626252046.38919687,-533328660.28336525,18795285.708003968,696486.65368292935,-806917.28365158336,-6937.7273175807468
|
||||
5,5262978.9095719485,739177925.99285686,-62120917.995255433,-15283815.798438206,58776.273438949094,1181259.2258242334,-13064.328583609642
|
||||
6,-1866390.8217137121,434957424.20288062,-1371239624.5248375,21087260.3848074,764508.59736696805,313834.80012566946,-20792.525678450758
|
||||
6,-1859478.6381289475,-1514717694.2359796,158949871.51638898,24608695.529594485,-120710.37298076559,-768902.59363829473,18596.400497651179
|
||||
6,-1844776.2508684718,497566082.00677389,-1345425517.7512081,19435108.627522182,750652.9014080998,351000.65846806124,-21405.613960176412
|
||||
6,-1760056.7064287546,-587253218.92753422,-1401198893.7557724,41176554.803894207,734887.43855875777,-263818.23023188673,-8192.9652267861547
|
||||
6,-1757063.7560016271,1303466319.2603393,-307288833.87544352,-18040616.476250134,156153.05175684579,872866.30971536785,-21714.316750928916
|
||||
6,-1726712.3684808342,251619195.27961913,-1442955107.4551268,26236739.130300041,788153.49791063997,199968.92787455959,-19347.416967708119
|
||||
6,-1716568.2971237851,-236357235.74780551,-1478464293.8435981,36388966.210866548,789342.00393309095,-74354.233697058735,-13463.423523327043
|
||||
6,-1690423.0185570649,488774862.98732996,1239678762.2682617,-36198127.832717523,-813836.13211234123,365188.09923748969,7796.6206889975028
|
||||
6,-1573085.9841105109,1123990253.4118748,675496227.93917143,-37199977.124720395,-468540.22376975749,774819.85596558906,-7746.8430397397478
|
||||
6,-1263449.0320235414,750226300.67542279,-1214522226.4924293,11459587.851506775,672998.74054133461,491942.45595003921,-25590.948008735886
|
||||
6,-1226707.497961025,-450054395.74093288,1308866853.0073655,-20061680.235176604,-832273.60204254847,-216547.87394546362,22903.033777445711
|
||||
6,-1162880.3080536649,203408451.44514182,1320312498.4671674,-34637849.892715797,-868930.60147166403,181513.20187041772,14850.243710799468
|
||||
6,-1148755.5098150419,-1495211698.3406126,-321284266.21870148,40120561.523381241,131575.4874189547,-763545.61343296897,14600.66637097979
|
||||
6,-1106835.4668482002,-1363949225.7343066,553176239.23858249,17536216.732444763,-358223.61735000234,-723323.18172488338,24492.786830562498
|
||||
6,-1082455.5208879597,-734376274.7558558,-1347809710.3301885,47260473.160918526,688791.59334001911,-350875.98217699805,-7326.8308943604243
|
||||
6,-927631.45386266767,1205048235.1590066,539725593.28678071,-40455651.042364277,-386920.41619347775,812132.01276242675,-9894.3198717975665
|
||||
6,-877347.41445744154,-180967825.76020846,-1499856630.5945344,39149185.171745375,785723.43701671145,-50811.64798277941,-17200.754022370147
|
||||
6,-840396.44537218194,467674914.53172177,1237943185.4546134,-39870812.233078025,-829359.02831024176,343984.50714218442,11524.955808850671
|
||||
6,-810329.23162478977,1305367703.4169533,-401541292.37679136,-21600647.542407986,197322.70425637264,847632.96929911117,-24450.990242126136
|
||||
6,-687751.14282282605,-1086755689.6407859,919967855.55532467,5085231.6764405444,-587084.52931785234,-595611.67356598459,28302.148859007859
|
||||
6,-643186.1244373396,-1491256282.4862952,-218434644.65554279,42024041.856647477,75930.883835267799,-783924.22756144451,16539.529505837396
|
||||
6,-630515.77936757822,-670066570.35070384,-1376040509.4105613,48941865.488606028,705937.29373142403,-322630.2360665258,-9926.5465361154638
|
||||
6,-617305.57807758474,1089264344.7811828,-899645414.08127499,-5929731.447102543,487192.98214833596,687725.13308354083,-28301.528714980377
|
||||
6,-577549.09580652136,-1160356594.2081389,-1004375321.0521135,52764498.584260248,501117.48175989941,-587184.66726492904,1322.5020724227506
|
||||
6,-213398.9064255436,-1459808407.4746544,208198906.95666957,34522074.425486192,-167472.22665997097,-787013.64008309459,23195.233451091925
|
||||
6,-170731.06577115227,-1367038875.4305193,489989868.19245678,25651884.223819438,-332497.96987691137,-747169.17442801001,26746.459050484493
|
||||
6,-108600.59201788786,408082667.02235222,1258247693.1157315,-40932650.756618097,-847940.70653183467,295558.08333156811,16436.998561988974
|
||||
6,-97966.832574080676,522450457.44672275,1210306852.0982268,-43044438.111184426,-819606.56811212143,367497.37868099514,14005.429096589938
|
||||
6,11429.791884967359,-945032766.02073908,1023488272.3577775,2616499.5398367099,-664501.03761099512,-533017.93256740412,31456.718855877065
|
||||
6,12083.255675736815,-1297733739.09149,607004391.81222391,22472969.761937942,-405149.5220203005,-723183.76977945596,28596.361266410895
|
||||
6,199547.48400193965,583916014.60497105,-1363749229.6501644,14902216.377976239,713468.88804659736,361004.93557045131,-29389.436235059864
|
||||
6,296654.12680528732,753217555.05407071,-1272028065.1229634,7174370.3297380647,665497.06408961362,453288.35140305525,-30521.760670603275
|
||||
6,334408.16288149683,-1055628624.9026648,916097035.37345409,10438413.892215077,-600236.77989334124,-604331.27429361874,32223.387985905305
|
||||
6,351481.08160984423,1275292681.2719545,-614024306.29541159,-24208500.267293982,308389.98343188572,779875.04290455743,-27565.408293908084
|
||||
6,469339.65942255035,1097610669.5470941,-932929348.22167981,-12096306.136011522,488702.42502181674,664591.13659005065,-30507.586882343388
|
||||
6,524018.30496501829,1367183486.856636,-263633075.20332259,-36413023.473059036,102031.81346161176,848232.30841002602,-22787.00096340814
|
||||
6,748293.01268799137,613418328.35237169,-1357700313.2418795,11178242.788916823,708728.43501523975,367423.51221004204,-31279.093718615146
|
||||
6,753367.40139273601,-594725177.47246313,1222500645.3547778,-8671288.0412603486,-804925.11138455966,-341863.71340711659,33842.418550225724
|
||||
6,799181.70743448986,-1315022637.0706756,-725003242.95157075,59256066.112000428,351974.45937166992,-709140.2286987938,4656.7769092520266
|
||||
6,860858.31913313549,-525494331.96835983,1245927181.4336874,-10838728.841812719,-823710.69517735217,-301948.3855116918,33930.450846536209
|
||||
6,892982.08181411261,-387228439.20245266,1289684617.8530827,-16153420.25863234,-855203.53654873138,-220143.42134719237,33246.366926551804
|
||||
6,978446.03205495141,197582210.19479626,1316069271.1115358,-36017225.70726712,-881076.68677259621,143829.52004684877,26367.198502448195
|
||||
6,993353.6699233898,-1106589675.4130239,-1027399156.8214276,60147617.112195738,514202.91317971656,-596376.04277119215,-3987.2948577442462
|
||||
6,1036655.3987520891,-957390730.62041867,-1172989985.5190609,58488063.701895252,594230.78037097945,-512987.61335634958,-8694.5016443633067
|
||||
6,1086561.2430617241,-279615658.87121904,1314352575.8271964,-19591698.548860159,-869842.14501007507,-155412.43992498834,33075.913421135971
|
||||
6,1180105.4794519646,1348369148.2602186,-447103804.99946755,-36741682.921105936,209191.27950607927,809853.76495262829,-24911.752558797238
|
||||
6,1223204.7609312409,1360483570.8167379,-408081866.54741997,-38406606.636803471,185112.18070771985,815457.18937023962,-24157.453355133741
|
||||
6,1284245.9915559893,-862418328.57962453,-1247297237.8892047,57173439.642272972,633073.06018273695,-462385.87314841035,-12219.310711667045
|
||||
6,1448504.9452536432,1156366430.7420824,-888348406.53175271,-22560491.338832751,457612.26239189989,673845.96254450222,-30639.025312149442
|
||||
6,1484069.4404338067,235453254.28050348,1313806449.4889727,-36122919.567917392,-872939.73488844547,159925.13857072929,28025.151825245477
|
||||
6,1495766.9474197924,-584300096.75111258,1221562418.7261858,-4574581.2693006638,-805430.22333086678,-349144.69981621607,36312.340488350659
|
||||
6,1620599.8946597972,1129995410.6466405,-939162511.04716396,-22041723.498274039,479240.96452991787,650111.36654955731,-30985.03455634541
|
||||
6,1641351.3685647794,669161847.48082078,-1342795660.8590951,3043468.9740430908,693919.97348435596,380581.17397613684,-33313.516616119297
|
||||
6,1643012.963145528,1398526168.7033346,-270569868.58880836,-45828696.764030345,104991.93425279662,826666.59654749825,-20877.781063368053
|
||||
6,1715069.2824420058,-540724950.90337586,-1409093785.5504858,48710383.792863339,728402.23626314395,-292952.87866469339,-20978.155404332625
|
||||
6,1763098.8232346056,841624320.97259414,1058884405.3816522,-52602120.337997682,-703936.40569557576,526616.15128045448,15550.515080506775
|
||||
6,1827400.1911035888,990593047.29083705,927934544.06014705,-55529289.177301541,-620555.24415178818,618421.1867037192,10945.20956667154
|
||||
6,1836513.1061023553,1384762561.0244267,-368582209.50372362,-44603110.975158989,162311.43110675539,814599.37520940613,-22270.15391172071
|
||||
6,1941102.2910224674,-448640358.60858202,-1444421094.1288261,45253694.199960105,744545.22962454008,-244844.02747172434,-23531.299856370326
|
||||
6,1966441.1271194094,1372050661.6243339,283638621.67560911,-57744708.741196029,-221405.42829274706,820782.80947883625,-7522.560229172057
|
||||
6,2170849.8782825698,1367379831.256634,300158292.14930373,-58656726.103295155,-228694.98907956216,817660.19969272206,-6351.5267442945633
|
||||
6,2180324.5865794327,1262280373.675102,-732204836.26991534,-35483383.713516422,369675.87869860564,724256.50811846182,-27809.377982761842
|
||||
6,2184050.7853907016,-289741250.28929716,1316385389.4521255,-13104746.618545424,-863910.52326579357,-177762.2715132375,36883.767466519341
|
||||
6,2217400.0708547826,-1076372850.0594034,852895146.00124168,26299672.723050032,-566961.83313453966,-652539.40522636415,34148.242291861854
|
||||
6,2287984.2296840474,1284876398.1909854,-700869465.56057429,-37772391.154221833,349469.6339276596,731644.05089212989,-27051.174815219427
|
||||
6,2307178.0159058841,-245698854.0827246,-1489197866.6936684,36604094.876084186,775681.13164569205,-137654.31517323942,-28026.897220019313
|
||||
6,2325669.8123510173,-1341125459.1465924,389012483.07776868,45834407.521699764,-279298.57627452479,-802866.8671454353,25487.440983541663
|
||||
6,2329284.2458710819,210080213.70624211,-1495064298.9974389,18645622.357850354,779097.7877641744,114706.90294943661,-32763.828189045656
|
||||
6,2448150.5838943552,610222141.4707402,-1366456694.2216163,-437638.78560847446,716182.83430855488,337863.86676851544,-34387.054852806265
|
||||
6,2451545,958385353.9396106,982855453.98026073,-55213047.494224891,-642126.59121650434,581983.5038886948,15400.757035783376
|
||||
6,2460000.5,1241392115.7833855,-785164747.02363932,-35750937.86114271,399544.17263938446,704825.93447314948,-28155.501489370134
|
||||
6,2475421.2658959888,-937222135.63248348,995432071.46371794,20149564.22072148,-652060.81283922726,-574666.01246698177,35942.350983566954
|
||||
6,2511943.9873975227,46073758.600251883,-1503571649.6350899,23918741.608388074,788478.90430193825,24289.968349956795,-31955.141382409038
|
||||
6,2562449.5705256015,-1369370336.227772,295920776.86919194,50033383.803713545,-221232.94999623016,-819731.42352738779,22789.61644662336
|
||||
6,2700729.6205745423,-416292123.16229296,1287960001.9587884,-4170380.4437568863,-836436.76127621334,-263337.60225568275,38221.598063273304
|
||||
6,2703494.4132060008,-1306402169.7459335,-615235233.54982758,63032887.179396331,311651.21988780366,-761652.41227427556,-223.20579713069745
|
||||
6,2704583.7827279167,-747717266.51374912,-1282154663.5458329,51243245.369908966,677209.7422859387,-428574.10804243473,-20478.459415843605
|
||||
6,2710372.6304322742,543516416.78940439,1247767542.1485598,-42420134.444875516,-807741.23399458081,327695.74948660313,27456.642403567032
|
||||
6,2802439.5499456478,42395797.156037614,-1497010685.905508,21902974.076864477,791794.9019849404,18416.391140398202,-32621.039056295733
|
||||
6,2890818.3357651895,1391989241.1966279,-417816834.69303548,-50843858.877376378,196022.10106996199,792501.9319376481,-20269.644433599191
|
||||
6,2969243.2904998856,-24081729.840557244,1355052187.1395087,-19411117.644522093,-875375.58112362155,-23846.74061644468,36501.3549026209
|
||||
6,3009057.306431775,1368876078.1503015,-525716917.9889589,-48790973.863728434,258621.84597134602,769137.28853588598,-22101.448953295847
|
||||
6,3015730.0175626939,-1220892907.3801255,-775939442.66903377,61999321.900297605,406120.69160341844,-714639.34136950609,-6234.4311114518177
|
||||
6,3036941.9426995283,-1326896851.7189121,-540901074.50562227,62901800.765995666,274279.88544427999,-782422.37467406527,121.88474645213387
|
||||
6,3045002.128133581,-385233980.43713462,1300493347.1544919,-3121145.390143584,-840721.53532025544,-245779.52175530308,38437.888307296031
|
||||
6,3074465.8207963472,1422579311.0437012,168234267.11511788,-61430282.661562517,-136098.57982679718,819644.65822574892,-6204.1818967315094
|
||||
6,3165393.0717011821,-1408619956.9685247,-23773979.54086047,59129058.358069956,-23988.985609702042,-842723.45938810101,12812.552402114365
|
||||
6,3344784.2432242995,837110652.10545683,1108216857.8092144,-49709361.691689789,-703245.88222348003,490048.5012143295,23121.035586207516
|
||||
6,3501949.98043379,198378388.14692733,-1476960971.1549318,9644811.0755550154,791334.72608331498,98208.245214774535,-34706.976057202824
|
||||
6,3507640.8887359872,-395711038.35826409,1304159884.0865397,845036.47681176965,-832059.73705399793,-253788.56475726073,38347.675862856035
|
||||
6,3644249.9755482934,1444580395.8105607,-170799241.47657332,-59451563.992932573,62222.598064641126,813578.33223971445,-12047.165823880137
|
||||
6,3696949.0124295177,1113892780.4127834,-979299691.42856503,-36418491.934878774,517668.99031350936,610515.19087700441,-28846.423303439926
|
||||
6,3707781.5093368925,1147222916.1951239,-939426117.67115235,-38320117.634960718,494653.00163421402,631601.61346879951,-28090.61582627823
|
||||
6,3714493.2065432733,-1378325479.1713588,-300761880.17620617,61950722.158808164,146853.60784577453,-830976.12075668608,2963.5989833152357
|
||||
6,3781197.2086071987,-199295391.7749148,-1460566764.5090077,24093031.224464327,795966.72193988331,-126714.17905631691,-32587.236751809218
|
||||
6,3895437.9284039391,-766285827.51497769,1135618857.3486922,21300022.582023509,-722370.98400119587,-481789.39581561135,35778.197211148487
|
||||
6,4100991.6683754195,-1322012580.4415276,413572352.66492325,52989243.907758683,-274670.96616548946,-812067.35249284818,19028.286753026805
|
||||
6,4175058.3375433059,-654231355.85097182,1207309720.0266035,17804503.521843571,-758552.48953159864,-412945.34364625235,36089.907813769983
|
||||
6,4230924.9921133053,-1372615403.7060406,-311334129.70973396,61484282.528562784,158035.81045020174,-830008.34559746773,73.830725022474041
|
||||
6,4265844.5237312308,222155610.05179983,-1461237931.4526742,2246224.7298459099,797619.93361752445,109430.48995085618,-35110.094296241063
|
||||
6,4268602.1343070818,1441109261.0439925,132187946.3773838,-62949496.517253287,-103529.51802005869,813367.03512996773,-2107.705576923106
|
||||
6,4287578.3774722591,391602008.66521305,-1427458401.8609684,-5463912.1506040618,777546.41523400741,204308.33635312156,-34978.866580214293
|
||||
6,4327766.6216624547,-1371458992.4066842,-297263265.34882122,61116873.940024383,150794.75948609575,-832631.14703269815,-82.883741764765716
|
||||
6,4392338.6874593496,-1371948737.0530758,-291726089.89255375,60970488.419127405,149784.27650280073,-832769.59060486895,-361.48640785435487
|
||||
6,4444699.9335893057,-1073067484.3123831,865009763.7796756,39971208.266288064,-546233.63648324972,-667075.99579799548,28065.746488824545
|
||||
6,4461724.9463671297,1429110468.0228941,-317559225.97796661,-59092810.14639464,157157.50729916806,797865.82595894393,-12238.364746964649
|
||||
6,4527934.6206054604,1051307236.5082774,955595076.69995463,-51357000.59278807,-583719.118846845,600119.78452144784,21098.967441013454
|
||||
6,4605847.7557078442,-957725649.28227901,992438293.6709218,34886867.234296359,-622734.24786651123,-597052.1324773212,30346.979028738893
|
||||
6,4668010.4919616645,926741321.73925221,1072542930.0469912,-45847281.077158809,-651139.62218722177,526338.83135938551,24813.388083339931
|
||||
6,4703284.846151432,-1245426175.3749177,600504586.33648169,49909957.542648137,-380577.81353297347,-769683.56349417358,20557.289757932438
|
||||
6,4727784.9500557585,-357848267.6305207,-1405959934.0301397,22884294.802985102,788278.02603201871,-225698.29607053305,-32465.431900336549
|
||||
6,4739576.6268608794,473229656.30014187,-1388133532.5860178,-12855439.019885821,769445.9341244977,250521.26942300409,-34231.964364934378
|
||||
6,4794976.3428191384,1371661687.1619895,-521719287.70887154,-55936362.927850291,277577.15063755837,762314.50472404563,-15687.423833910303
|
||||
6,4880783.7691027354,1291423652.4109712,-700045794.96778572,-51818821.739282504,379414.3454929383,715812.74193499971,-19456.138573985045
|
||||
6,5018985.5598869948,225822405.00280401,-1443235471.2758889,-4045994.0175215439,807778.06850961794,108979.61599843306,-34670.133026477932
|
||||
6,5063566.592538543,1239549531.9862299,-789175348.88027048,-49685177.986089624,431872.25583550363,685525.93612449302,-20735.274331460176
|
||||
6,5119177.495094033,1297465108.8223855,630588895.18199301,-56976520.053050995,-376706.81293589342,732780.09118314716,13596.546747428703
|
||||
6,5149579.5423255591,1211280513.4976327,-826465590.24527776,-48646699.886505887,456553.10228023137,671389.36014625558,-21388.909818224438
|
||||
6,5161516.4571719272,1449172283.1102784,89121792.405245185,-61585760.256967872,-64295.605719561921,814740.42000887159,255.69630788011159
|
||||
6,5220918.0492392303,-1349135358.7784386,-385190374.50747156,57963936.344748214,214333.87891707456,-820003.24577478506,-6786.0286876924083
|
||||
6,5268162.6090982864,1314782092.7775667,-642330860.53264666,-53674273.787196986,350669.74692549394,732391.43722500326,-16631.648197096267
|
||||
6,5299972.5642964449,1113389289.2914238,-953519159.41493797,-44534801.995792061,528591.93377435103,614005.42160891253,-23605.498125052061
|
||||
7,-1893910.4937293681,-157996955.13125345,2804608063.2553983,19058019.754973989,-598407.72795709968,-61460.98756484082,9380.4149902647732
|
||||
7,-1738250.9574883468,-1429003124.6766722,2360822358.3958855,36840037.486744367,-511900.8190334083,-332645.88438674051,6331.8145696369529
|
||||
7,-1658575.6817222033,2836258314.9067698,-1016475311.0189431,-51504105.54640644,189652.02666629612,525045.80957654561,5.5442863852229118
|
||||
7,-1653617.079335866,2461989240.7177048,1637370109.6230409,-30070231.5440301,-333626.06279161683,460807.3261920794,8041.4729615831193
|
||||
7,-1618620.6860795456,342656646.59246504,2818499613.4528909,10841242.313383969,-591491.59938130574,42287.95558678994,9726.9353141641004
|
||||
7,-1616544.1806287526,-879871867.45799232,2641597480.6807599,29400802.275008809,-567607.73734244832,-213549.49944839685,7871.9292490544476
|
||||
7,-1556875.0358978317,129663996.45094712,2829870873.7704701,14233556.653251121,-594879.23659642914,-539.55446382795412,9511.4482268025258
|
||||
7,-1498390.0988753627,1726492233.743479,2347783826.0281138,-14084795.38772526,-482264.36903485452,320650.36818676174,9542.8302959796893
|
||||
7,-1438375.5585838316,2310731210.3086138,1827452989.9363542,-26267756.070112392,-373914.442175465,434101.86708105414,8453.7749837357242
|
||||
7,-1374019.7327346923,881417511.32784116,2730970499.4128041,1629897.6941239913,-568528.42554714601,153866.53686436577,9909.4334390164186
|
||||
7,-1225320.9146935614,2826669692.4744844,937510676.57163739,-39169274.051340595,-193991.37230905821,530801.33390803332,6084.7312434714022
|
||||
7,-1178550.0444472285,-2297507592.8210187,-1569630000.2910295,27233438.164417047,322634.80780356086,-512680.56539903919,-7959.4279335446563
|
||||
7,-1122890.740732115,-2123097921.2522399,1737352344.6971536,43084950.566170938,-381107.71671115968,-481166.69956981263,3261.5452367532398
|
||||
7,-1071323.2147154252,2716542327.9233437,1199765053.9970927,-35743822.810051568,-245956.38219845048,512823.18129466224,6711.5391784467984
|
||||
7,-903527.21125794738,-2612398816.8936014,-883592568.96279132,35662606.874849118,180460.83083135812,-585019.5931267055,-6048.173834937088
|
||||
7,-676733.94679782959,2764266626.2399983,-1197585307.9314406,-48852348.318020061,224785.67122502057,512876.81219587295,-640.97888355062878
|
||||
7,-668975.92231195117,1388310105.897855,2536825161.1125689,-7440911.5931767859,-524308.20981799543,255243.60694345061,9394.0804136631596
|
||||
7,-618090.98153168475,1815530423.894527,-2370932866.0738964,-40567668.039086752,459054.20023936324,329077.07607795234,-5216.3441374352851
|
||||
7,-598015.50366721698,-2731129397.2518163,-70374985.587760523,41241026.683356486,5432.5106088374332,-616851.28667115676,-3427.7322897115087
|
||||
7,-584441.17993409303,2820662757.7798271,-1066517825.6270016,-48767663.598636135,198566.96127739703,521534.63954413956,-177.72152140242773
|
||||
7,-575268.42877262039,452673034.01014626,2805909102.3969774,8385917.2639193768,-589892.78373989696,64299.041501174368,9337.8411941802406
|
||||
7,-410226.97991740308,-1863799685.0168781,-2087954901.846122,16911696.269113839,431673.72653097357,-421647.96993640176,-8777.7768728182309
|
||||
7,-361607.77299356158,1085793408.7349117,2669766142.3406239,-2040248.4466942777,-551391.14241844311,192675.42461440165,9323.7811979689395
|
||||
7,-323507.48750560847,-2562554566.9489207,925292050.26845562,43504968.133656546,-206728.90535642442,-583871.55405451497,-2.9360066206366828
|
||||
7,-321273.52111283853,-2698499670.9169798,-435016085.89423966,38281984.128001727,85861.029255372137,-609780.05772118038,-4536.3514963470934
|
||||
7,-310109.97378281062,2320020325.9357743,-1902198124.8768632,-44985561.730629027,367118.40635072696,425390.95151592977,-3258.2213125519247
|
||||
7,-287196.24985790579,-1727099078.9100149,-2206532998.3548055,14254768.163195431,457205.39226784219,-391090.02924621012,-8944.4213892813514
|
||||
7,-50098.950495496858,-1581607387.564929,2272222154.9216013,35137021.164596006,-487294.60879596393,-364460.2516691293,5324.8584685946917
|
||||
7,8847.4638361188117,-245385546.70821998,2816691361.5900121,18088772.944195427,-592934.32089653495,-78737.456072043133,8348.2432588552856
|
||||
7,14223.416789966403,-2611842020.5438738,813464806.50078213,42692483.516464069,-180278.74312718573,-590515.10093525355,-374.81667592812795
|
||||
7,111098.89345094236,-2012426747.1872494,-1930993627.4522343,19732856.034518577,402767.2541044883,-451341.7212341947,-8223.6865000465932
|
||||
7,194397.8655472449,-1051688152.5268247,2588748168.2105637,28413647.501250874,-551453.30529591383,-247728.17965261044,6804.8803004718347
|
||||
7,397133.05108818179,2722780805.1021299,-1258838307.5997036,-45599350.291443743,241329.19840994623,508882.58931598533,-974.53347851541832
|
||||
7,449010.73673640657,-1907684693.8386331,-2051901315.0503507,17355661.569393601,425042.07034595084,-426172.30037602293,-8258.9171466546086
|
||||
7,483387.42268623831,46249044.11042197,-2899113659.2301121,-14959772.311402937,582600.40678270708,-16758.05559810995,-8489.0623742934185
|
||||
7,553102.40771040693,2998817642.6861749,93668200.459838599,-42585032.102055669,-23875.864087129048,562364.37287523516,3066.0055834012974
|
||||
7,566288.73689846927,-2520304234.5753832,1071966192.3383784,41363502.077980414,-236037.68545498856,-566785.39134212234,612.17587975356309
|
||||
7,577254.9844149733,1050487428.1552405,-2748066252.63378,-28363000.063539892,543263.66736608348,182926.6348779102,-6891.6464688336137
|
||||
7,667867.65945807146,227818196.46029738,-2899591032.2555642,-17239409.422551535,578974.79292429506,18429.500197007696,-8148.9135215793613
|
||||
7,672545.63914817153,2487108890.5460143,-1673152714.86252,-43528809.003030129,321638.92248752672,460446.42185201508,-2362.0941242058402
|
||||
7,740110.42515840614,2496121736.3059187,1598133982.8699198,-27894466.364063427,-324443.53100368223,469451.92717680067,6846.6972244412073
|
||||
7,820255.25501839956,-387584027.08889198,-2852903263.0203929,-7984104.1452788431,577075.58711247297,-107474.43741407238,-8655.5727989251427
|
||||
7,850814.66779403901,-455551700.16722822,-2839740296.0444775,-6982956.7495046621,574876.76571814879,-121453.09123694594,-8676.4190984554916
|
||||
7,891636.4681350207,2933457877.5412326,614800628.90390551,-38429002.343123481,-127995.16116203662,549214.73107450455,4386.7693159625887
|
||||
7,983797.01407324616,2918480221.4053473,678874666.5430572,-37699853.205187201,-139986.21240694297,544444.83754753426,4497.3037167039429
|
||||
7,1044574.0903337956,2980460096.7909923,359654702.26196861,-39904502.109739028,-77250.997726216461,555244.37707770662,3669.9635248625323
|
||||
7,1151323.0592143382,-2726602284.6540284,-120933938.38239075,37331670.632650577,20793.308645274126,-615996.50213216129,-3101.5130379847969
|
||||
7,1243371.5418850174,-2728760042.3438964,-123904060.74228607,37118891.109758697,21235.489721044149,-616390.79406713077,-3069.4050507536194
|
||||
7,1276865.1307086102,-2164947054.0213947,-1729303721.9641731,22080002.260660332,363012.00947965885,-487217.58102679491,-7211.0293798017556
|
||||
7,1292321.5537500111,2516244479.1065717,1582534921.0122952,-27583315.473176979,-317518.43147333141,468573.84944228706,6490.5820634244301
|
||||
7,1324006.7437984659,2152592548.4042935,2023064671.5163641,-20650937.00984662,-406532.37651742413,400731.93523080274,7376.6440121130881
|
||||
7,1459905.7019960317,-2496188234.8852615,-1161417243.8554237,28970122.847232848,243793.41532657263,-560748.16562788817,-5762.2562371714239
|
||||
7,1477866.4922103449,1954376814.828788,2199624405.2839355,-17060008.690485481,-443879.19803565455,362580.02790270798,7638.8725445227028
|
||||
7,1482226.0356866643,-438498618.35483038,2793521730.1301932,18107374.41657092,-585667.69845106022,-119371.41393117204,7470.3919721663024
|
||||
7,1725506.7675952152,865866788.53037548,2754620926.2672925,-62727.369015876051,-564381.6801435675,148897.49481218253,8224.81977444519
|
||||
7,1784883.4810830061,1904554028.0553534,2239592547.0416636,-16296855.923751734,-452701.72639185056,354982.23275471269,7555.3436754550648
|
||||
7,1822017.0328188022,-1627682216.9454625,2253304898.0083585,31078265.839943282,-479103.60881732928,-370557.81948447297,4869.5915507333484
|
||||
7,1897716.3550624503,1533476483.6660266,-2519374858.3373303,-30767135.854234885,497809.83017357887,279742.51232300763,-5482.4535206504479
|
||||
7,1915798.5790864606,-2320936297.9538732,1483105386.0395973,37016077.543447688,-321354.24287796527,-522816.20086393121,2163.096908151776
|
||||
7,1917219.1362859886,-2657858584.2098732,681708887.34761691,38238783.277691178,-149220.25869124869,-595997.48192822293,-453.23914496953705
|
||||
7,1968815.4807782993,2011531198.2719731,2144487653.6962287,-18119970.366455853,-432443.07889904792,375770.58742241422,7274.5777145642251
|
||||
7,2168762.7154202475,-1365545242.8106368,-2472073983.9236169,8368498.4996194011,511517.62844952516,-310457.53092472348,-7973.941425738376
|
||||
7,2224695.5196905467,-2714756107.1992378,366062721.13772857,37062655.934626676,-82257.736002327059,-609612.2909118461,-1281.9898645390463
|
||||
7,2373820.2608772237,-1275446968.0526686,2476314514.4337521,25973174.930483729,-528633.89399287035,-296068.3199012588,5774.4231195907032
|
||||
7,2374446.6126805879,-1594133977.9837651,2268771589.4762459,29348220.043097168,-487128.93422390911,-365780.73132706177,4979.4356075741653
|
||||
7,2394769.4425862394,2987395338.9666319,298233097.63935959,-37782930.012736753,-62818.821377945649,559420.68801652757,2900.098208936397
|
||||
7,2443812.1769471727,-1906727166.0196283,-2037759174.3213053,17182874.959802147,424349.10305861611,-430043.22383713559,-7085.6691450579929
|
||||
7,2451545,2158974221.9793773,-2054631591.6074328,-35625201.477211647,400639.44281359349,399828.592088882,-3705.9536905744944
|
||||
7,2460000.5,1975977485.7411468,2178666871.1638031,-17522263.042442236,-440521.38623186841,369049.79842025385,7064.5047924822238
|
||||
7,2482637.701129932,2315861676.7501888,-1884725691.7026496,-36964097.046712607,366059.44525111478,428977.7273227988,-3138.3938826754088
|
||||
7,2490188.003781531,2182975588.1899633,1986377081.9838452,-20880130.334525332,-400391.85136575287,408819.48769856343,6680.2587662436499
|
||||
7,2561521.1186625743,-2613888129.0429749,804447368.64602947,36717811.511300057,-177777.78298355496,-591596.20425688743,140.29389280894031
|
||||
7,2577169.5542735821,2940136710.2134643,-643343129.8956188,-40293019.753577352,121405.9091095886,547825.39698375307,426.46833622066129
|
||||
7,2578021.1390018361,3004047070.8862243,-170873860.71315527,-39392221.332060844,28645.633826681431,559297.20677119982,1679.5705250109427
|
||||
7,2646763.0079057133,586285644.2731111,2816673127.9191599,2568561.7065758123,-580697.35708106821,92109.601784236336,7798.6878621905962
|
||||
7,2725119.6324796379,921411796.8093704,-2772441087.8830366,-21655946.32491865,554440.33764683153,157316.65473690655,-6525.9797448115442
|
||||
7,2836400.686167337,-2290089978.8685932,1517575735.2124386,34392068.491888665,-326531.48098821437,-517660.65569114429,2357.1370370169848
|
||||
7,2844222.2036130754,-1147701149.1258931,-2575255025.7990584,5787202.6580620008,536565.92758505314,-268105.07371119602,-7762.8903364830321
|
||||
7,2868551.1873311438,-2646577032.7488432,691948404.98793566,36008878.449705526,-151546.88733670354,-597897.76413434569,-116.47171634090633
|
||||
7,2975558.236149407,2874013831.9094276,-867748214.53078306,-39299975.057081141,168363.91378502845,537034.10850242362,-345.53395009125063
|
||||
7,3090453.0004645661,-743134741.56988609,-2738382060.2974973,449168.14536042325,567149.22104927513,-181982.41201295392,-7706.3386286463992
|
||||
7,3125803.9637471046,1837715761.0146849,-2312839475.6190329,-30537768.743507076,460525.05484076834,339331.65937416774,-4689.7120391358849
|
||||
7,3132997.6694954531,2673237147.3861613,1321757392.8131633,-29244750.091850653,-262643.27849280514,499939.43060775241,4930.7589463224349
|
||||
7,3288608.0938383508,1895208166.220114,2253978832.165585,-16575756.621644134,-452487.64928124071,352619.34804520017,6735.8499675424937
|
||||
7,3365404.149100611,-1439932453.9461772,-2412318089.3210464,10436681.622285634,503071.13923362171,-326061.71842098591,-7262.7645258823604
|
||||
7,3437264.5591045385,2993646436.0563421,-137515873.83668977,-37499350.297483392,25843.1884011316,561204.91949157964,1365.2959351620802
|
||||
7,3465679.0313392272,2654949116.0650024,-1366236547.7572086,-36917575.957233183,266261.05570526142,497732.17176466697,-1794.3665609592811
|
||||
7,3466243.6318243416,2789243471.9987969,-1077929042.1671925,-37707698.045427009,209125.90822787469,522470.38812884298,-1006.9045304041881
|
||||
7,3637194.0420260653,-2742680845.6232095,-144436756.76942149,33353958.808449473,29043.192587383994,-613537.52764636197,-2119.4411969456751
|
||||
7,3785796.9180306084,-1443973074.1345229,2386533043.9421673,24239550.153182603,-506829.89383626904,-329616.92928970628,5276.3047569555547
|
||||
7,3872544.985832775,1552823747.4762778,2478054826.772397,-12270868.592177007,-502163.91295839538,286891.94334284769,6881.0825767127671
|
||||
7,3904902.8636076981,646616385.787027,2807792806.3137712,-365506.75302817579,-576067.78759210533,104548.27080082068,7282.996533854337
|
||||
7,3909575.1612539273,-1914915605.9402583,1999424480.1961358,28582470.081299141,-427048.33880885463,-434436.26307953522,4021.2240135234706
|
||||
7,3952825.9438704541,960897579.69524753,-2759735718.8417025,-18925872.246867638,553722.60483582132,165985.21480767746,-6270.6608156266038
|
||||
7,3976466.4584558215,-2509215024.9185429,-1136283815.1322851,27384553.017523587,239556.86140019723,-561802.87512289837,-4395.3880016646735
|
||||
7,3981650.9501856808,-107701261.24772511,-2870597417.8240438,-6253255.7534888163,583907.35259897762,-49102.68007746325,-7180.3707166876093
|
||||
7,4027290.641611686,855491419.62673306,2760616627.8154826,-3175589.5676715137,-563665.66765981144,146945.55365601022,7184.3904828687237
|
||||
7,4052024.7581967572,2978142625.3655734,368029191.68847656,-35042459.004731454,-74614.510968445902,555849.78096752695,2333.3778281808973
|
||||
7,4113372.0622575954,2979855260.6680155,359967795.88440454,-34931604.132814728,-71986.274527416972,555932.24046961323,2267.3011923493905
|
||||
7,4147685.9682209725,2036889540.3424654,2135950102.1164932,-19101104.776516125,-427184.21726941474,377698.74442527944,6080.8179292124987
|
||||
7,4221715.6858862033,-2554290697.5341606,-1010389002.0125787,28219615.136156205,215784.39302855061,-575825.99115112599,-4010.6250911606635
|
||||
7,4281686.8202227829,-2729573003.3559914,-171309458.59627625,32288955.503337331,35538.220661075677,-616404.5450413886,-1884.191497792867
|
||||
7,4283923.1730616502,-2328989811.1422877,-1472933931.302181,24375764.087794811,313061.26827415545,-524577.09009553771,-5010.5076238024512
|
||||
7,4318728.2981513478,-341698719.15937495,-2832270973.6297426,-2631508.4680438759,583003.30297832505,-97547.201927315036,-7210.352108372228
|
||||
7,4374010.5124558052,-2714540794.1204081,-342409192.4530009,31597816.314160187,73933.241480263838,-611214.55796373391,-2331.7464644436686
|
||||
7,4415785.3823228208,2278137237.1232929,-1907997391.162945,-31534361.137006227,377361.90015257412,422673.00305354677,-3521.7497790275675
|
||||
7,4444765.7729771314,1526267902.1991105,-2508622406.5077057,-23868739.873112742,501363.80015205563,278725.73299496592,-5334.6462359181824
|
||||
7,4478636.3275557943,2739359027.3327832,-1204249104.8983665,-35230310.150429763,237100.47040011801,512228.1652972016,-1695.6632345955284
|
||||
7,4545367.7508925581,2468745333.8577633,1666058789.8513701,-25604579.742527865,-329304.78471975948,460113.74480155559,4906.8614630220454
|
||||
7,4559330.7160395989,-2535287315.6329622,-1061054981.3384724,27700998.393498462,227891.99070006123,-570412.71853533806,-3931.1299388808343
|
||||
7,4601307.5784208523,2719249943.9369049,-1236230712.2798345,-34810433.706445739,242930.92452575944,508977.49901346111,-1773.5847235841391
|
||||
7,4612904.2376412479,-700980103.39080799,2746098753.5076833,14123949.23350727,-569478.80122223427,-171058.83790136818,6351.9411133724252
|
||||
7,4702674.2380924821,631267491.26871598,2825580822.6521502,-1655247.0573877911,-573083.32962914871,101421.48901073026,6954.9813115739335
|
||||
7,4721297.6960922908,1691921939.1666818,-2403547455.1567955,-24785057.876061201,481703.06225107569,313814.31176778895,-5035.3639067436588
|
||||
7,4826887.466176373,-218802599.00312349,2849203527.3455744,8181944.1564068543,-587157.89564920368,-71151.008928217329,6756.4720426516269
|
||||
7,5007248.1756073525,1865065581.2096,2278909951.0359454,-17544695.205134995,-455166.23464032583,348326.9223379083,5933.3955024283359
|
||||
7,5020617.6618434722,-2290855849.2542386,-1554129986.9789906,23861513.445759725,329477.8733153902,-510860.92489628907,-4794.4724766343252
|
||||
7,5021823.9062834885,-1821679300.1875298,-2112199252.9583108,17368340.883932654,444191.29382164963,-409751.51124981133,-5917.8830389390068
|
||||
7,5182825.1076644426,2167695154.8460479,-2018438816.9520857,-28605180.507169068,399989.31736275839,404601.76637634373,-3941.8473609531566
|
||||
7,5229945.4733923804,-2230609475.6262679,1639318016.851717,28633029.695979707,-350267.48287367157,-500355.64781004889,3246.2505075901668
|
||||
7,5288363.1755218264,-819922215.6965493,2701660372.7712665,13850983.19567281,-563061.51315759099,-195869.27928476047,6183.5104961617026
|
||||
7,5344069.1443945924,2223017571.1201086,1952967044.1953638,-22611840.714964431,-388557.41164559935,416049.24282817042,5131.1960191924527
|
||||
8,-1923299.6800556884,2558997023.2695389,3651527912.0082378,-132710122.86450072,-388066.94266187359,271911.40004989237,3100.6488871485699
|
||||
8,-1676477.8519173686,-111467134.410954,4468232788.0505524,-89524893.497460768,-473474.21968729532,-9284.3609884136149,10835.71642914427
|
||||
8,-1673991.6976694386,-1267831175.0088599,4293103492.6420369,-59949145.02908536,-452406.41408122901,-129317.38251801601,12843.074282209149
|
||||
8,-1592174.7404434106,-2611020650.8051176,-3708850345.7054467,135117955.8600862,381710.53477718646,-267732.6468416666,-3079.0827487050151
|
||||
8,-1570486.5735796981,4457697348.0871229,309831606.417485,-106680449.32500985,-34987.208146732555,471148.08707021421,-8923.976829411642
|
||||
8,-1488287.9835097014,-3310868732.250308,3041036234.1445436,11898759.27331778,-319426.58307719277,-342983.27150591614,14247.112360053667
|
||||
8,-1431082.0416018502,-2217184518.051456,3898158973.9401636,-30365933.208095819,-410960.4573718856,-228522.55785978315,13979.375859370335
|
||||
8,-1389689.4817755735,4445601723.3119421,445959429.39254278,-109334429.45459881,-50174.683724780029,468954.28719019296,-8550.2841103411683
|
||||
8,-1343251.6787880149,1054627760.3961194,-4392364599.3690557,66742547.160977557,452485.84102006973,111961.82391998128,-12491.461134655083
|
||||
8,-1257937.2707797578,1138933855.0994718,4314565285.4906816,-114583738.67138068,-456502.15891040221,123348.15308031437,7761.7206019090581
|
||||
8,-1219453.2519424818,2531451418.9093804,-3728626849.2173347,19746789.455626983,386695.10086195735,266691.47045150382,-14216.131748806034
|
||||
8,-1090195.3593005561,4469176585.5376148,-168946676.69805852,-97324607.336252749,15467.114002231627,471260.1766057146,-10079.091285303644
|
||||
8,-1054045.541972524,-3707335544.4703064,-2603705926.0371203,137259930.26585785,267189.62945364125,-380816.25481757161,1837.7127865282303
|
||||
8,-1042009.1233008691,1253761169.6297438,-4338458027.0024424,61081777.446016036,449319.26636155951,132568.2346095003,-12873.966739628218
|
||||
8,-1041936.2585759561,1286466185.8665977,-4328668337.5219011,60141859.053997606,448322.43491423543,136084.39817107006,-12921.076305390361
|
||||
8,-1007803.6105930222,-3036288033.888833,3312775223.5564218,248860.29420422355,-348035.94059731637,-315384.94343062036,14332.872348499977
|
||||
8,-851880.72580218525,4299308409.728075,-1260628901.7848942,-71140242.151766211,129793.99065725792,452679.15590860217,-12271.945800638805
|
||||
8,-816318.43809974124,-4315085082.8785858,-1371789351.8772931,125697683.79336536,140530.49510578968,-444594.29049499787,5986.5795921787003
|
||||
8,-780456.86688351515,2755731246.0663509,3508374166.0679975,-134505967.47931865,-372421.41447418783,293531.08846066444,2389.1498970826824
|
||||
8,-774981.89601031248,382376597.85173804,4454337644.2970772,-100355062.71928686,-471302.32826734416,42259.126575106304,9769.3397562633509
|
||||
8,-414936.7444188518,908947709.81708336,4371704240.548089,-110649488.66494881,-462300.80012478423,97847.775201033597,8435.5092563715098
|
||||
8,-329688.27939165942,-3079421187.6652384,-3333388884.1272721,138465402.47431591,341176.01509405056,-315098.51027330843,-1224.8686920755406
|
||||
8,-262115.97834237712,50435184.519241698,-4527856275.5636454,92099113.864805937,467593.70103611681,8269.3032289977382,-10776.583808188117
|
||||
8,-258906.13441053941,1516276041.626483,-4253638764.5976233,53238566.279044807,438883.58187689056,159570.69019174346,-13254.36560621255
|
||||
8,-238398.8240738227,2660071560.4831686,3576496592.6586008,-133940679.12866922,-381125.12432270154,283596.49487915338,2809.285382770739
|
||||
8,-222450.49953363347,-3888566126.4514489,2280044911.409193,41216935.275845245,-239734.59160248094,-401197.83922218514,13711.69143663003
|
||||
8,-185290.13198482478,4393801977.0346775,787765188.2444936,-115859418.51748267,-86304.323187971531,464333.51633129199,-7623.5810823516822
|
||||
8,-151032.93060163804,-3676633211.5921879,-2658944329.0749011,138160638.57972962,271246.61839460465,-378334.91095378943,1624.1483049021251
|
||||
8,-129103.66250778222,4342281248.9264727,-1091516722.4399507,-76042712.576720357,110636.79423164384,457186.16849260556,-11938.078711939668
|
||||
8,-80322.886333837407,614539332.4409219,-4483553021.6102076,78323951.71297963,463171.24351862015,66226.407439950533,-11888.479453425622
|
||||
8,-33430.993196095107,-4269705812.5531139,-1518914063.7275157,128225183.70097107,154408.45938780202,-440519.83406281902,5541.6139610594364
|
||||
8,-25256.984452868113,-1723901767.036902,-4194322129.1939335,125486691.02070187,430742.22173096373,-176610.95036112244,-6164.8928192848816
|
||||
8,-7606.9093315361533,4437285213.6586723,-569981581.88052869,-89045562.82375522,56502.579975123735,467240.68102771061,-10919.292492140468
|
||||
8,-6790.8460621091072,4467454449.2333775,-186857378.56629717,-97630419.731260419,17264.428817942429,471367.87565942964,-10105.545808597801
|
||||
8,-2182.8638609012123,4022534439.6264081,1924997666.6891458,-130995748.21750648,-205112.97312389335,426505.95546449337,-4124.5649874690671
|
||||
8,96386.836576555856,-1151244023.7056062,-4382570313.7303848,116384244.52083141,450767.29080543923,-117823.52818569857,-7839.2189797459223
|
||||
8,117728.28870040085,4107393744.0751486,1739011580.9081736,-129166159.43870695,-186958.98230680195,434205.26202106808,-4701.2745242545807
|
||||
8,123297.14034525864,2437588226.5994382,3729892085.9757438,-132201687.36841993,-394986.80671505479,259383.7327817801,3630.5814006232899
|
||||
8,133121.25105137401,-1992864309.4231126,4013754374.9666133,-37308512.054351225,-423292.96943746385,-205077.015302871,13865.397984667707
|
||||
8,135598.73058697814,-2964683592.5688701,3374133588.0114689,-2044789.0611118367,-355292.94449905615,-308032.2781773223,14398.209485255782
|
||||
8,207346.07311892975,-4252866601.7633595,-1555757633.7171841,128778379.21911508,157845.47998177019,-437790.14513394039,5441.9276998128325
|
||||
8,313217.70282690693,-1825349083.8459215,4092375027.7257862,-42732115.53199777,-431735.21398703539,-189600.37268000672,13710.785649829
|
||||
8,511962.15106822457,-3340953736.3477464,-3063441931.3684807,139155077.15288916,314277.77749718016,-344335.46993227227,-83.85950331727004
|
||||
8,638582.89819147578,-821146956.99110377,-4453649244.772274,110380408.6238963,459951.69048266712,-83446.405392475252,-8777.5401560286518
|
||||
8,668223.80978665454,936501515.14832914,4365250399.4738245,-111201856.68324177,-462066.12949958397,100218.64319643113,8449.9718403698971
|
||||
8,751746.61871354375,-3609605175.1316762,-2741094186.1010556,138704576.22174096,282104.88460903743,-371211.51086581557,1209.0470169137575
|
||||
8,915522.82451696647,-2079902999.4297545,3977673213.0850301,-34409439.311142407,-418462.89093223767,-215583.23449184772,13976.799944980468
|
||||
8,945083.80648518819,1730563181.2786005,-4166205970.5697236,46263444.299591742,430028.65651763778,182177.14762070792,-13583.008959958215
|
||||
8,1031908.8121870048,-270625371.33417082,4466021755.6030226,-85790771.461800754,-472005.68851868936,-25953.538737034884,11304.253519471416
|
||||
8,1097676.9260185962,-2703306082.0014315,3591893468.8089194,-12202785.654658582,-377511.93092624925,-279940.62273994921,14381.459935035282
|
||||
8,1184635.0365138007,1164403132.1227715,-4366466703.7745533,63302550.068096176,451410.03773249034,123297.63682125317,-12868.495984692689
|
||||
8,1240607.887358326,-793589664.60026062,-4463436668.9149189,110066903.05308686,459834.27183866821,-80221.102800164881,-8882.0567062996561
|
||||
8,1438736.9352281839,4452559863.5924854,358517739.08960265,-109335322.7796198,-42040.222127110661,470641.61191104871,-8732.0651357892675
|
||||
8,1473698.2508206,-3728577594.7591782,-2585157113.5265999,138629994.71244726,263511.40804129519,-383851.13233413268,1850.6937556888165
|
||||
8,1489867.9173414893,2903880996.3139067,-3444569072.4749022,4357348.1687278841,354976.94155331049,306078.12611297233,-14421.7675932698
|
||||
8,1501570.6993583576,4173806975.2579327,1572228242.1108892,-127999874.9869151,-167944.89812836959,442844.80511557742,-5259.7166162866133
|
||||
8,1510587.743066289,1110428287.6827548,4318325535.5534611,-114305511.57638152,-457253.42618277197,120732.52336017656,8007.7868032442493
|
||||
8,1630718.6853180029,1214634691.6357479,4289514613.51021,-116145384.39397043,-454088.76605888689,130313.58461530649,7718.522137136305
|
||||
8,1634747.6755013634,-672739411.04749954,4419280566.188983,-75517688.012616232,-467292.89169441035,-68580.648762858094,12117.215272804717
|
||||
8,1656135.8619036139,-3155184646.8495383,-3258536945.8972173,139458285.13852984,334010.08721115021,-324995.62855438888,-989.01016206078714
|
||||
8,1756351.9397676005,-1256888487.4482,4294035355.8743401,-59546381.372333854,-453073.17025858152,-129865.9093008748,13060.390184166285
|
||||
8,1787404.0341840032,1574558220.2954705,-4233525586.3559327,51006821.138939939,437814.92320003896,166287.88362940407,-13468.619735778406
|
||||
8,1878348.4469103264,-1990762668.3763566,4013339694.8367214,-36934705.311562628,-422583.74168653908,-205466.81584720124,13937.670518123467
|
||||
8,1932250.7486238298,889773497.12472832,4372287666.9736242,-110467876.93878141,-464183.42817459069,96641.57170339291,8670.9599020449532
|
||||
8,1950820.8069573049,-4461021914.3407145,-768012030.29995179,118294558.32220387,77081.015000981308,-461362.17729866999,7710.1679263262104
|
||||
8,2070865.2427328248,-4479619016.0989971,-638011901.69516206,116097118.88066736,62498.631085736823,-462199.98397037684,8079.4710701200202
|
||||
8,2224274.4242204106,4043053768.2645464,1883667232.9787235,-131799334.33862624,-200674.31104272936,427843.55560511822,-4203.1372074452929
|
||||
8,2302998.6477966486,-3305490691.247942,3049702019.6944366,13283718.492617529,-320400.53136101057,-342110.86956428323,14427.132202605202
|
||||
8,2311595.6093335822,-4477465303.3872452,-658719825.23595321,116597853.29866748,66445.097868053213,-461458.72915235348,7978.4013445431965
|
||||
8,2324694.527548709,-352457525.19135267,-4513520189.6343527,101022117.77970244,466003.99473296158,-33788.605499498932,-10021.386245050284
|
||||
8,2391359.1473642411,2516183612.3285098,-3737476989.6880403,19008568.569529943,385565.70903302793,264949.33414387732,-14334.95119399175
|
||||
8,2451545,2515047269.530158,-3738717715.8698902,19032286.034542102,385853.60451197112,265820.32188706176,-14347.848192073428
|
||||
8,2459295.1370014707,4413440090.819191,-745527701.86580503,-86369967.495873004,75976.119443139731,466821.42039467976,-11352.922046025826
|
||||
8,2460000.5,4454448646.5561705,-414300452.64405876,-94125009.541192219,40157.590281230528,471692.15242142248,-10622.525027513231
|
||||
8,2522318.7583222622,4426235119.4726105,585816477.81695092,-114106319.04343158,-64934.462667548556,467458.68557060097,-8150.7624229951161
|
||||
8,2553839.9016803317,-4333233750.723073,-1333186261.3388698,127366078.85236076,136454.09815483712,-446220.89671805192,6036.242658236114
|
||||
8,2623762.4987766221,-1230509821.2416782,-4363032081.8848448,118248036.74290413,449622.87455494725,-123918.95421865419,-7804.0928972629436
|
||||
8,2635955.737013571,3750010037.857553,-2468949822.8755875,-35648269.396785587,255591.56703340713,394580.48455516354,-14029.43648431837
|
||||
8,2675540.2571245916,-4120965756.4577494,-1897775599.3605249,134157084.28252815,194487.06281965849,-422868.28476855363,4229.6943281904232
|
||||
8,2716122.4345429298,173193016.26449859,4463866689.0259609,-95939612.084654301,-473003.39986740559,22069.401764848517,10463.623912290434
|
||||
8,2788739.5810845671,-4301684944.2606964,1379716396.8433645,70885609.077859089,-145941.50336174568,-443126.73166511278,12511.770398226023
|
||||
8,2824499.0467523281,4320411807.4851103,1112718091.1503465,-122656233.83704054,-121384.30460340116,458308.70925366133,-6634.3136670245167
|
||||
8,2851491.8594524395,-4522009415.2115688,213698716.60391113,100038877.26721053,-26037.229764447067,-466829.39546717796,10203.570843873615
|
||||
8,2859248.9859733144,-3324594349.1529365,-3091796643.3474922,140451024.24229088,315300.49437153019,-340184.41119689669,-270.52709349573746
|
||||
8,2976882.3515684241,-4051720514.6267347,-2040984026.0307658,135678177.99888885,207121.74149995149,-416813.14862204419,3780.6570631599302
|
||||
8,2981987.6770306583,-2492954075.3667479,-3795305209.0728345,135760271.43847397,389058.93350420782,-256124.7090183465,-3737.1754327797171
|
||||
8,3108937.6713916427,428661848.60537112,-4507899296.5606041,82856537.727221206,464622.31191801501,47455.11027092491,-11717.126840539097
|
||||
8,3165569.2779342923,-1207517453.9485662,-4371745709.3275652,117956881.21237428,449815.47301129211,-121923.54463378795,-7893.4289326923572
|
||||
8,3172449.7031237753,1920037534.230484,-4087206424.1296864,39670939.352392241,421221.76503970276,201361.26656725121,-13910.883850615828
|
||||
8,3174619.7673007874,2779322125.2711697,-3548808842.4377489,8698039.8235189207,366076.64233617223,293046.19561467506,-14490.366516076949
|
||||
8,3205181.8114790143,-3061084461.5723286,3286012807.1506877,3261411.0989665347,-347314.92271952535,-316243.82468116219,14576.09230551562
|
||||
8,3280210.3852755837,-3420812322.005188,-2977309169.3460088,140583442.73622617,304085.42003825906,-352150.39311445667,198.64811745887891
|
||||
8,3392247.2028327994,-4474364556.456563,621033632.87403607,90959889.670022964,-68516.806168687603,-462560.94093437423,11113.276518185103
|
||||
8,3435291.595060355,1588159410.6442223,4164928021.0186839,-122601853.39951801,-442870.03663604485,170551.02377943651,6759.6124469490014
|
||||
8,3566608.6043030256,-3211395443.7918339,3143100734.4602504,9754354.2440649699,-331674.26323075418,-333794.26527461433,14552.21387842408
|
||||
8,3618651.0781804733,262567527.78836057,4455881624.0824852,-97875587.169346407,-471918.36589172442,29399.193285437952,10326.281360121562
|
||||
8,3667462.3955610162,4255062110.6786256,1343529591.7251186,-126455383.31746221,-143929.16393998271,450439.96071997861,-5932.7405343460578
|
||||
8,3732323.7882751999,3089355069.9619479,3210877410.2577043,-137882887.8504689,-340769.75862944446,328100.72319115081,1158.1950052552058
|
||||
8,3763768.911270502,-2649681031.8493013,-3679729862.0355244,137314696.80978116,378010.80021728663,-270639.61149965686,-3185.0765674130516
|
||||
8,3782352.9043525672,4318827360.7226992,-1190506673.4800873,-75807037.468532369,120624.75616773564,455368.50997592637,-12186.386847007348
|
||||
8,3812724.6899585733,-4418444787.4722567,934346834.39421082,83423050.114741787,-100902.00053505009,-457039.47625016666,11748.115825417304
|
||||
8,3936736.4830415361,-4462838138.9647856,-759738865.46117675,119433012.7043937,76452.424500623718,-459196.78208952048,7698.2581852790199
|
||||
8,4111268.5797193972,-4051114471.9760971,1986711059.4242098,53412862.726742953,-210681.01409017801,-418215.06742730702,13528.967506935074
|
||||
8,4181639.4410130531,-3766997023.5371928,-2531904649.7272072,139923048.2074405,258475.04041283455,-387263.40942216432,1948.4214181555024
|
||||
8,4198094.1340487637,2954464304.8917828,-3396555548.3255939,1189214.2341797475,349894.47686182207,311068.01260366756,-14563.552750401574
|
||||
8,4265793.4883138156,4460148755.8503523,-310105627.41786873,-97559381.806133524,30103.634585623298,472040.07238469482,-10425.762224273682
|
||||
8,4395389.2281224253,2749023948.1538258,3501454097.0785966,-136246000.7075578,-371674.96085115679,293087.73073377984,2630.7835340133975
|
||||
8,4410176.6840111315,-3515842996.5920982,2810044765.317256,24143651.66648186,-297657.6227762482,-363031.46478146681,14430.843583957945
|
||||
8,4428430.0858939318,-1627716251.2827559,-4238140315.1724558,125257215.20985596,434156.71115402883,-166028.74493942302,-6720.8026674111934
|
||||
8,4463702.0632561212,-869304114.31812382,4384870149.8340845,-70001835.102113366,-464230.06400140678,-88945.869038701421,12658.432576440067
|
||||
8,4490693.3274819208,-699273455.57837319,-4483435290.8709307,108632790.73872453,461450.16227264405,-69732.52422689466,-9339.1867518567524
|
||||
8,4512886.3166226726,3688505343.4157062,2496159696.9272156,-137509263.15074274,-265891.64943700872,392495.29055040592,-1869.6232976953713
|
||||
8,4515815.7899172818,2742082992.0617876,3507067237.5710955,-136233741.77338904,-373210.12012757716,291544.81381914619,2701.9666297275876
|
||||
8,4629188.7503353469,4405773931.2518034,717464603.36999297,-117739087.27260599,-78336.020149713251,465748.41748619231,-7764.0177312972874
|
||||
8,4655623.4189050822,-4435017562.5501385,848523422.41980898,86204655.545299068,-90684.295255679535,-457862.29530289856,11556.580281446753
|
||||
8,4682167.1943705287,3719856975.3577681,-2524863911.8122268,-34991992.157929622,260280.57828901595,391981.19694212516,-14147.341143867223
|
||||
8,4702093.4076364925,250269815.76747519,4454082956.1809683,-97552772.829674229,-472353.60395432729,28329.521985698604,10455.573307360124
|
||||
8,4729931.4958646996,-1374475447.6186559,-4323729062.5472975,121176251.92378967,444219.36737478903,-138596.32956058288,-7523.6363627077653
|
||||
8,4818169.0854232013,2175955258.4880085,3886738193.6296062,-130975914.98444302,-414282.84496540844,231880.11978071087,4918.0483445313794
|
||||
8,5036912.8931462821,1444076492.3304369,-4282985639.0491982,54409502.569663219,442414.8526675452,152666.8309556102,-13506.764936185329
|
||||
8,5135360.7071849732,-4226768406.8657584,1572133132.1639738,66687887.339929305,-166586.97544520444,-438664.06624162925,12926.667347600562
|
||||
8,5143787.9241008088,-3949425600.947227,-2226764979.4934936,138466511.58062604,227242.9614271223,-407586.90131783194,3059.6964458103375
|
||||
|
@@ -0,0 +1,876 @@
|
||||
1,2124783.7668421366,12966014.402752697,44091537.435792632,2329627.0320310546,-4874013.5706652459,1367552.0092589634,568617.89545292035
|
||||
1,2129016.4489093982,-34915363.422011293,35402620.992612861,6134203.4369306508,-3843385.3806195571,-2765802.0055035576,138764.070416729
|
||||
1,2136436.9887800012,-26650004.32076896,-64250458.305827275,-2670049.6365175056,3046001.8466106309,-1385699.920915832,-397913.80876064039
|
||||
1,2137657.8561469149,-52823074.5498579,-39395754.573036417,1791368.2801960313,1659053.5523407776,-3166731.8790181158,-411005.3709838161
|
||||
1,2145855.0392295346,-9494413.4743902069,-68893642.315869182,-4659596.9116879618,3329797.6485156622,-340604.90429031517,-340207.51535812893
|
||||
1,2152902.3387021516,22783347.390779406,-62425551.811224125,-7170720.4478582777,3114935.7644703547,1675954.9253170267,-157342.29861226626
|
||||
1,2156848.9035254759,-17017165.282555163,-67591962.139612749,-3852176.542047611,3241109.7436351231,-797005.98265212134,-368440.88505115628
|
||||
1,2163034.2226464031,53514647.86862269,-14216582.375077598,-6166606.6196904052,268864.92693417461,4275733.3129855348,319582.9452103597
|
||||
1,2178316.6305287816,-6311046.4152041338,-69133035.311477587,-4987636.3269616421,3351398.5303779822,-149814.28202059501,-326120.93572204519
|
||||
1,2179511.2975262469,-36717865.282970726,34009938.903690241,6184895.1603044914,-3709462.3736983426,-2899913.6413497464,113525.20979651572
|
||||
1,2181205.8389593726,-46573318.60754022,-48827086.796058886,422368.90759137308,2193667.4319772604,-2695248.0738038835,-423038.59322029131
|
||||
1,2184220.9753084038,27651894.460673034,-59516037.328977257,-7393965.0746992463,2978628.0529203648,2002144.3073291348,-117366.37969792988
|
||||
1,2187621.8174504573,-56407921.087815747,-30840340.499314442,2792124.7426338312,1156167.0735995015,-3492074.8935807231,-390185.47921596922
|
||||
1,2193280.3421586915,23197175.990019765,-62233507.215453595,-7196746.4853767129,3104448.5309753129,1700117.8989547768,-153275.79790973791
|
||||
1,2201381.6964990064,44855037.422095515,-41604480.023896776,-7556624.0969812796,2032826.1889982887,3300959.9255885808,76508.453738233249
|
||||
1,2205857.505220057,15438805.496610295,-65766349.518421069,-6757488.6574631343,3257198.4447903717,1193418.0997412808,-208150.03558951264
|
||||
1,2210230.8758518836,-55179096.843997702,-34148666.372462764,2398341.0601233388,1353544.7894430249,-3378427.9139518118,-399554.79946352681
|
||||
1,2212968.1213944298,-32798857.854785319,-60938824.777554058,-1860035.4896756392,2861444.1215942018,-1776485.2731495246,-411018.30521774536
|
||||
1,2222538.3715594551,-58584431.486441612,-3280278.6909962166,5206156.0212486442,-636448.43210921308,-4006640.3779397863,-264534.82947102532
|
||||
1,2226923.5099660973,-23352969.946481619,41797302.197896935,5560681.4357295055,-4516536.4813682176,-1878153.7634611425,269780.48036103073
|
||||
1,2245751.8693725881,-35592705.950152777,34818143.141232252,6136752.6063570725,-3793108.1251196475,-2825626.8072411222,124917.39494726696
|
||||
1,2252782.721694936,-5248066.4560087463,46002159.847483493,4213848.7662318107,-5021678.1747932173,-311306.66117830586,442721.42688255239
|
||||
1,2254413.3714484093,5029574.121365536,-68507565.37880528,-6016183.5584425284,3356387.7839559061,537591.56125165941,-269186.02094453771
|
||||
1,2269128.722823476,52499047.116220675,1343815.6673807458,-4777018.8720179424,-916912.3416706865,4407903.1162084667,442512.42186573957
|
||||
1,2270908.9872541567,-27050753.773668848,40078243.434551574,5765009.3838262511,-4333417.1775324373,-2179852.6483750581,226598.63416646194
|
||||
1,2274438.9162575109,-57453620.936298765,1990742.5157225512,5506302.8366624061,-1018020.3969070239,-4013933.5479231845,-230618.99559819169
|
||||
1,2289039.6210029274,-54487786.107040778,10724398.650736887,5933260.1209327234,-1682847.9826480323,-3938411.0259438828,-163033.53318888633
|
||||
1,2292477.7271920904,-58977189.139968835,-18252595.969281197,3998616.6888083159,374311.58675426035,-3828808.9942783942,-345348.63514096948
|
||||
1,2298199.8295391505,-55482998.364568092,-33179334.119383737,2460353.088853186,1296952.1580583814,-3417483.0836819867,-397722.06009107409
|
||||
1,2321593.1735340492,-59121991.656152822,-8975059.1610598583,4751635.2347488124,-241175.14478993826,-3971625.6834104517,-300225.91569542972
|
||||
1,2325795.0892633256,5550820.8046551654,45606334.847062998,3190526.029148092,-5019422.1031922707,671632.8503526157,519708.77861605695
|
||||
1,2333075.7192048468,51467055.132996798,-26944942.219851892,-6956477.9091970362,1130267.2646002772,3928549.4086760506,214556.66219834672
|
||||
1,2333814.6346200877,-51914360.70134826,15933013.098365132,6102748.5080359196,-2103070.7487278921,-3835906.6063099657,-116953.75976121223
|
||||
1,2340812.2168795345,43423643.465772584,-44045003.504918471,-7599981.6491349665,2164228.1417976893,3162386.6427646945,56742.638843265791
|
||||
1,2341811.3621834707,-23193708.556852952,41806341.362776645,5545363.8810436251,-4525078.646766671,-1874180.8461825801,266475.22956525086
|
||||
1,2343375.4317375645,51890303.574245624,4175218.4603789826,-4462904.1663021948,-1148304.5582878587,4391018.2874348378,463266.81477398443
|
||||
1,2350908.5652520433,-18364903.268272117,-67236686.39125976,-3769457.7631570501,3216661.8978081383,-891339.29577185796,-370009.20020716183
|
||||
1,2357229.4238089724,-52046787.857565053,-40499021.063482143,1517121.9705348455,1725043.2688727204,-3127651.4677473949,-413909.88493952964
|
||||
1,2373582.3852631706,-58875451.461099826,-6524321.7609828403,4905108.1075852374,-410459.15962693817,-3997025.6397475861,-287496.01823822531
|
||||
1,2381432.003570782,-24298461.311036531,-65215277.899544731,-3068713.1273553013,3099163.8574423576,-1256690.9891172596,-388325.57561931189
|
||||
1,2388283.1052446254,-51063835.471063584,-42167570.177542374,1274592.5445785059,1820922.6312627515,-3052351.20409422,-416596.71072158287
|
||||
1,2388960.8289901465,-13432493.266212294,44832830.489598364,4891140.4440728864,-4875071.8707198408,-1048637.1197792522,364186.41057036095
|
||||
1,2394343.1183717614,-58851935.180491157,-6485721.4766056305,4896941.4895377187,-413369.55059811368,-3998677.6102590831,-287716.66750849603
|
||||
1,2399890.7931725676,-57087997.420190722,-27989398.703664932,2979439.7215273171,985418.5286747464,-3592148.8891712492,-383580.53705720807
|
||||
1,2404276.3067153757,-47804654.04021851,22307889.149132729,6222238.0980896829,-2645002.3797406908,-3632393.2543160366,-52456.232734853489
|
||||
1,2416363.148186415,-164678.37793544913,-69142333.725710616,-5624330.572318241,3365303.2492687018,208566.93656320032,-292705.13228037371
|
||||
1,2419878.0425812113,-13102931.81954308,-68424620.557573542,-4376140.4469338385,3289750.057202165,-576209.4999516164,-349693.58005644381
|
||||
1,2421043.593609903,49749735.20511765,-32263408.254676975,-7209016.466991147,1463508.4873933773,3727310.767483233,169432.87474212627
|
||||
1,2428234.8883013246,-13855157.154797943,-68287841.309781387,-4298629.0853389036,3280661.9686200493,-622278.653265286,-352443.0878789234
|
||||
1,2449625.1125466572,30616484.162055649,-57652993.963782176,-7519837.918418074,2875695.4616893991,2183772.678188988,-85611.707456429212
|
||||
1,2451545,-19461726.624106042,-66913275.992914937,-3679854.1650373531,3196367.2521493547,-964605.58730194625,-372179.06333915843
|
||||
1,2459879.4459596435,-58397362.396014318,-3421284.2453254885,5076989.7694523372,-629408.09918260551,-4020851.9914078652,-270850.21209501388
|
||||
1,2460000.5,15223596.238767512,-66001761.499491058,-6790050.5445870981,3257175.8619800173,1160934.9677806632,-203892.16004638787
|
||||
1,2462172.70795898,-57328484.046884514,-26871361.31616677,3061473.527065549,917485.27675527812,-3628194.8990028957,-380667.66753675509
|
||||
1,2464311.0885961005,15539394.358764101,-65890370.570044324,-6810471.1723205354,3252453.7453392004,1180761.6426371667,-201723.23179423693
|
||||
1,2489119.3079359452,18447354.720304903,-64761351.777828753,-6987238.6243337272,3203583.0606636568,1365283.7865904856,-181482.98465339866
|
||||
1,2493305.4152186792,-56082686.464046299,6020098.0612489721,5623746.9732186981,-1324476.1516970065,-4006233.0930607924,-206683.39951830139
|
||||
1,2500226.2523234761,49689803.592045322,11160782.959778108,-3630078.4733150695,-1737596.7927800952,4291850.1554784151,510231.068080144
|
||||
1,2510245.5326521634,51311586.262617409,-28048303.549139824,-6985571.6543737659,1193501.8179792028,3881751.5095693576,208858.93716051767
|
||||
1,2511798.3773018145,-36004311.716444336,-58640766.038472362,-1513626.0545891945,2736546.003570037,-2004861.2865959415,-414217.11691693781
|
||||
1,2512644.2525519142,-6521538.7856699713,45840102.465706058,4350401.1811916996,-5012340.8476345493,-443030.97179567331,421613.82299744955
|
||||
1,2517331.7287996816,-54591809.055070832,-34946436.715969197,2122471.1252797535,1403976.9206283917,-3362980.8238567822,-403720.91329874535
|
||||
1,2520344.4697249075,5584076.8696773117,-68528155.448989242,-6124664.7842522319,3349908.512679162,553921.46986846288,-260456.14169577303
|
||||
1,2526421.1831567977,27527120.975940842,-59913870.184740402,-7422287.0591578754,2981113.4865997722,1963397.0318443854,-111130.51833051116
|
||||
1,2540524.5758900349,22639943.52943958,40418312.713188432,1250783.9449503077,-4513600.097167599,2218431.794566859,593378.35645758407
|
||||
1,2541290.1209324654,33674825.358564317,-55264816.45034688,-7601657.6284972606,2752416.6801564954,2391855.2273158384,-54735.571431946555
|
||||
1,2554601.5683580916,13677021.293015251,43886129.968708143,2355729.0347866337,-4863396.2482153121,1405426.8339309841,558171.26903125609
|
||||
1,2556458.3880203562,-31651787.684376605,37303807.334174193,5942937.8364355322,-4062904.6931967149,-2562144.4601223357,159645.97831690617
|
||||
1,2558024.5275621186,44327159.524390467,21376706.489752825,-2280926.7250115629,-2650329.2391151134,3970535.0354819088,567127.00239793444
|
||||
1,2560314.3991642101,35971795.899186753,31219603.191547628,-711687.6139786148,-3590337.1536393072,3351746.8163685496,601884.89594267088
|
||||
1,2563418.9224594044,-58078362.647543289,-2080098.9490712048,5113981.3455403727,-726635.30168806575,-4031968.1019035955,-264855.38592807407
|
||||
1,2567404.2967125247,-6841761.6717004851,-69180202.30758892,-5057396.5038848845,3342654.7193244826,-206550.70136918334,-321024.97727481701
|
||||
1,2594907.374978147,-51640459.820567816,15999859.137051241,6002702.076448828,-2118626.4184813658,-3848963.5152206942,-124069.07209562857
|
||||
1,2604347.3372789668,-20038211.867793486,-66720983.630243041,-3669094.3891715324,3183795.1758683645,-1009800.0844838921,-371820.58321923838
|
||||
1,2606533.5264888802,-53032921.945568867,-38206492.715788648,1667411.1776554836,1595905.2741317721,-3237363.0219694818,-410971.71239970252
|
||||
1,2607847.7268158202,-58598333.501366481,-19221495.637551509,3732863.843032741,437550.45643383579,-3826905.3491291362,-354422.32246124395
|
||||
1,2614126.3054855717,26974115.958981786,-60350360.708750248,-7409729.6712589441,2997766.6422170121,1918268.1530523601,-113897.14078731618
|
||||
1,2617517.4004221936,-55116149.662599877,8434263.4619038664,5688057.3243146772,-1513254.8532240896,-3989730.6821602704,-191155.46707061026
|
||||
1,2621375.0544140069,-10315513.96931963,45339823.746649064,4665512.3769824021,-4951787.9224381875,-789892.23470040236,383545.94878402766
|
||||
1,2628449.2268059347,-25278025.909613516,-64754743.449681506,-3041921.0088217654,3072289.9352895082,-1333815.0057000231,-387940.8348155744
|
||||
1,2631297.1088449671,53586741.569596931,-3488841.3123688758,-5137615.975197481,-542934.256755854,4377132.8474911014,409506.33665765909
|
||||
1,2637330.0907268082,-36941011.859945558,-57869219.172405496,-1423450.0273484208,2695365.7202892299,-2075838.7072578815,-414794.53042553429
|
||||
1,2638009.366482486,-43975751.267466076,26787337.585498717,6184284.7629372077,-3055427.4585098336,-3429505.577445522,-6014.3330458287182
|
||||
1,2645033.7652524901,14806488.099762354,43547986.354540013,2248512.1103573893,-4831611.7169329943,1503035.4334189033,560674.9859191759
|
||||
1,2645143.4395358092,-58625909.40636123,-6440556.9329251023,4770170.2859519226,-418643.55982890958,-4014585.0466837413,-292852.42190618633
|
||||
1,2647269.3922093054,-40140032.031312361,-55201653.526992589,-919043.27635890804,2549973.2655462786,-2289478.1531250677,-419133.54366638535
|
||||
1,2655644.4292540401,16513999.688365258,-65647557.792567872,-6902122.4083719887,3235060.7560355454,1228627.3161052372,-191004.98548192633
|
||||
1,2661371.2639583144,41715168.111732945,-46895163.945403017,-7632625.2915052939,2305799.5261857728,2985320.281096343,37879.438436584162
|
||||
1,2662708.3719234937,43291629.054492831,22966386.214802362,-2015501.7211648824,-2797954.7109987671,3890000.2966723135,573307.0364481979
|
||||
1,2663092.8206089395,-58350557.351440445,-20769543.807599667,3556023.9677891983,536993.30712492217,-3796200.4341134643,-361438.99147568463
|
||||
1,2676762.0467308033,31818193.313271295,-56950293.804359242,-7567428.9369020713,2830090.2307010596,2246850.0398603925,-69906.984768181064
|
||||
1,2688640.7039866913,39290504.275258332,-49870148.832277052,-7656030.6344455238,2465077.8183124545,2792800.7728948542,8366.3618190243578
|
||||
1,2690036.4130899739,3343105.1472951947,-68913152.389918655,-5988896.3934925999,3356555.9073154787,404999.27088335948,-268986.995453335
|
||||
1,2690409.7967724092,53931095.212461732,-14975238.137513831,-6094838.520230459,305168.5949832495,4229362.6332967868,321575.85685705318
|
||||
1,2694122.3170382171,6476036.0759719834,45440712.421150371,3167823.4284164994,-5015585.2032177476,734054.0735273246,512334.27885452425
|
||||
1,2694240.839356632,-49441583.985823058,-44347133.293690622,792208.14049681509,1948787.3151062413,-2957887.7020638413,-419693.56903436757
|
||||
1,2698063.5586520382,54042630.78048519,-13124095.305648332,-5949430.162797438,173050.3497269529,4263201.9284257973,336401.21634033282
|
||||
1,2706542.1496414882,-54823731.667437635,8985060.8643703498,5674964.1349173859,-1558646.8249717935,-3988442.5533841397,-189170.8769591146
|
||||
1,2707969.379098841,-36901614.036488093,-57859773.185913868,-1459016.2242926981,2695392.7714042552,-2078821.5174280766,-414204.08971524972
|
||||
1,2708042.1077418979,-58783993.888509952,-9057263.6420727633,4540502.6795508554,-237781.97000797899,-3994624.5962730194,-308550.71664388402
|
||||
1,2715319.9888405297,20665994.811715979,41362128.931046702,1559276.6522412372,-4611099.5673394799,2029519.591977922,582293.5898321073
|
||||
1,2715748.3422285491,53164128.500215314,-272275.9572997315,-4802659.5577187324,-795947.35100470379,4380459.505357597,433503.46862105769
|
||||
1,2719549.1874915874,-12331170.798557686,44948780.137280449,4822854.2454904141,-4908775.7953314334,-974993.97178533522,360655.54516251379
|
||||
1,2727924.9987669685,-58750102.011458829,-16323883.140820432,3927813.1215847246,249802.79877197152,-3890880.3105880087,-344083.90526674344
|
||||
1,2729067.6691969433,-58870616.251022249,-12675249.254319986,4239799.4581034426,7787.7984612443743,-3950510.486647822,-327293.06192102213
|
||||
1,2730844.1383527163,-29052901.538085386,-62908109.351652719,-2592023.9877586756,2970414.7289743172,-1576572.7629160301,-397106.23636056262
|
||||
1,2735255.6251134528,13439736.56612906,-66758421.286872134,-6727001.8933257665,3278272.2757137832,1027913.9302100766,-209301.3136973184
|
||||
1,2736457.1262553614,-58862649.185278051,-12836790.743536873,4222258.3389859013,18597.748013758544,-3948662.6530716382,-328208.57863238029
|
||||
1,2741562.3073366764,-57687771.07525073,-24224233.540184129,3172523.5636977954,755786.8567969217,-3715867.9940965609,-375174.91763354669
|
||||
1,2759892.8674206617,31569433.01272722,-57232188.163464651,-7566071.6476362264,2839989.6233281004,2221462.4733050968,-70568.249628199221
|
||||
1,2763238.5148602538,39086662.975840546,-50197359.621041335,-7657078.3349197702,2478816.1272191009,2769190.6235357448,7225.6921881418275
|
||||
1,2764103.4316422599,-6918676.662524146,-69206152.207359314,-5110071.7734252848,3339601.7904606783,-223684.91602745242,-317640.71295951685
|
||||
2,2130394.7890321361,-12996776.916604135,106756555.34112456,1956049.7624279479,-3014864.5045454097,-382718.74748189404,171582.82139498091
|
||||
2,2146840.8355040764,-104471244.10019922,24841005.975481588,6373404.8488168651,-715933.07298030145,-2958205.7563134222,8185.5261123780701
|
||||
2,2148905.6810626299,-61936485.56894502,-88909859.315708727,2601436.8480861881,2460705.0121296719,-1744564.7240926512,-163296.50788214387
|
||||
2,2153237.8137625144,98225821.4163571,-46645924.27496215,-6257944.9971922869,1279441.3080380575,2719763.7176460158,-43595.75417830293
|
||||
2,2156695.4082887038,-43976216.622580618,97985393.518530175,3682788.0645413855,-2771569.6613579909,-1256533.8457503426,147210.34591720838
|
||||
2,2166720.6533012707,99218407.006991431,-44477639.920179375,-6293450.9616501713,1219398.0679127965,2747442.1995873055,-39479.644982618818
|
||||
2,2176133.8904876267,50427477.197383441,-96503800.52151604,-4054290.0558264968,2660259.7708231104,1390256.3274690835,-138901.89560417453
|
||||
2,2191785.4924932523,-106843485.78208333,11385897.585503258,6354961.1186459009,-337787.38180027559,-3022984.9805368958,-15671.247618247526
|
||||
2,2202232.6774916872,107147831.20293564,-17746962.082783092,-6446507.2575542592,478674.87423501414,2971011.4040284106,7099.5380189405823
|
||||
2,2211902.6978225713,108341162.61742158,5933325.634294996,-6235035.2090902692,-178850.57754095615,3006888.516065557,46009.772430026394
|
||||
2,2219492.6101251878,26542486.257374573,-105567267.60041025,-2800754.6576422728,2913281.7670312095,726538.46597787761,-160866.03994298019
|
||||
2,2224845.7532236758,-81520607.825037763,-71034840.077170417,3894231.5291869631,1965777.0124025152,-2296310.2186990725,-141785.93764883702
|
||||
2,2229931.3683657194,4790749.4118161835,107541069.33606614,1009624.7814104897,-3033854.1154393237,118582.84123605459,177883.35549768872
|
||||
2,2236767.5323917423,-52164986.039795019,-95075286.116655722,1889456.5676953483,2631056.6108095404,-1470029.3954144325,-170697.94406339384
|
||||
2,2239823.7150299195,-11915673.965218054,106900330.14060876,1981734.39858694,-3018126.9320762348,-352022.36501346156,171259.16341043421
|
||||
2,2243982.5605033091,19381879.284379296,-107089457.97087297,-2421147.6941575836,2956483.5258348729,527511.63321759191,-165521.119443484
|
||||
2,2246000.1067288755,5159677.2006075457,-108665355.44427837,-1615303.4733769917,3001435.4440520904,131807.69525161842,-172905.15792301972
|
||||
2,2254568.8722611493,83788951.86578986,-69424601.211117208,-5714808.6868263176,1910437.6070228978,2317739.3626281023,-82834.430349840826
|
||||
2,2255307.8757766085,47676552.043045968,96801141.826169759,-1592680.175542725,-2724791.2519821445,1322853.7497923677,174472.02918555544
|
||||
2,2258464.0921073053,17700181.675436776,106264519.48030004,267482.0523249114,-2995416.816228515,481690.23708446254,179953.96951495306
|
||||
2,2259700.1447804528,-14946775.737725656,-107664131.83415665,-445629.1777420601,2976158.1947823591,-428702.22232997691,-178180.87444070823
|
||||
2,2267326.9533468271,-51875561.22028175,-95231128.64250949,1845926.7973202532,2635674.351131978,-1461849.8010303972,-171059.97490790818
|
||||
2,2268230.1343560666,-39988445.775344595,-100904134.52369,1084777.665506789,2791771.9370132945,-1128617.8751642657,-176040.03331959044
|
||||
2,2269790.3324046582,-72247152.147461265,-80602119.842490822,3207012.267928977,2231356.6863916591,-2034447.4816090118,-154625.46729490094
|
||||
2,2272355.0311716637,104397252.28336795,29125531.337356076,-5706068.7647385439,-824451.40109281836,2900650.0645266403,83586.454103943703
|
||||
2,2273560.1568500157,-90229867.610566169,58093454.899508841,5956302.8285423769,-1650605.3175061441,-2559510.3316047266,64360.729009837312
|
||||
2,2275853.0920192273,-81018847.479362756,-71613514.422250241,3822729.2933606864,1982029.2533366873,-2282098.9326409036,-143262.89975145168
|
||||
2,2283114.1130432012,97223128.962154582,-48679929.259188548,-6248394.821391264,1336547.6453302139,2692455.1904096976,-44264.054855197559
|
||||
2,2287939.7291643075,-88060005.114460856,61334557.141716972,5874524.9551318055,-1741666.9451131315,-2498426.3037718269,70084.036905373592
|
||||
2,2290407.9522969564,-81565749.845998242,69730942.482716188,5602881.6841895962,-1977907.405960537,-2316064.3283551317,86012.190364246431
|
||||
2,2293224.4117609258,95509544.536605194,-51991321.232349828,-6192368.7362375092,1428147.902068048,2644571.2907532789,-49938.561258471425
|
||||
2,2300881.2522288007,108495265.9611429,-2978169.6748066982,-6333574.3119863076,69102.507165297066,3010516.9733921979,33688.591583587629
|
||||
2,2301580.2231651647,85127654.243164122,66740461.727768958,-4103933.4840954277,-1876544.8338752803,2368114.7851303648,138570.19380624752
|
||||
2,2313224.7491350072,98172006.210923359,-46706866.034783721,-6284318.4623626331,1282090.0900777115,2719205.7110220203,-40063.212150745167
|
||||
2,2317281.6629972244,107986352.69542748,-11225998.065155007,-6405540.5786981983,298314.9475713257,2995600.2010113993,20582.984777511127
|
||||
2,2327974.7376275249,-96048700.264534831,-49170468.75642176,4942973.0374690518,1357635.6530255191,-2707778.5961233503,-113184.11376111071
|
||||
2,2328877.4974262533,-90101180.692245364,-59560388.27721002,4465674.1811713381,1646982.0053895956,-2538674.3890680349,-127823.4622013631
|
||||
2,2337239.865494295,38088577.893309742,-101973796.54641274,-3512962.2133365683,2813631.3530201828,1048009.974575181,-149674.05040929126
|
||||
2,2345034.3441174147,-107484055.75630163,2604886.4846478137,6261723.7218575636,-91025.813218628798,-3038558.3382444638,-33789.551061013859
|
||||
2,2361765.7735971734,104189021.75648816,-30819389.965718623,-6434135.4190604826,842072.81047443533,2887849.3913972313,-11272.490579288849
|
||||
2,2367170.1241980898,108443456.54434748,3478988.1885627024,-6233915.4291691231,-109977.00196781954,3010329.7362123188,45583.946881496595
|
||||
2,2371899.7620899873,102300419.76374266,35698622.022235282,-5456131.9636586923,-1007470.1924375532,2843269.4894540263,95457.835251026845
|
||||
2,2388692.6899023857,27594629.925828677,-105272712.76517342,-2984987.5757790231,2906278.9556813994,756735.49014469108,-158170.3104203683
|
||||
2,2396050.0548504004,-105116551.78812715,-23408209.104561415,5769993.4517371953,638077.53540513187,-2967148.6163647976,-76214.719502228632
|
||||
2,2396764.3799308646,-24576008.106652331,-105818307.00019225,19211.71392333238,2926712.9405794665,-697178.7138048691,-178521.4960429614
|
||||
2,2400481.644540838,-2436137.8864339697,107602258.76234604,1569510.6912216558,-3035513.0911532636,-84554.583317734374,174431.61443188577
|
||||
2,2401354.5910714809,69946713.140629143,82362444.760069266,-2950563.7104085707,-2315915.6029164814,1945619.0600445885,159776.34517300647
|
||||
2,2405019.4973287047,-102384963.08251128,32395244.444490697,6351361.6143935276,-927355.55676049693,-2898793.5540666506,15026.040176567962
|
||||
2,2408091.5590155432,78863834.811280221,73969679.876611218,-3572932.1383532709,-2079309.4961486468,2194012.6017023604,149480.18079712693
|
||||
2,2413552.223698826,-95514295.144009322,48988140.02465158,6176474.494249939,-1393868.1525451611,-2706933.4396214508,44351.163369966394
|
||||
2,2419671.225576506,-59312326.942214765,-90702199.702685982,2210065.6302263513,2511336.6487722662,-1669990.9800187014,-167552.26810051347
|
||||
2,2440977.577691061,-106443591.15778327,14772389.473321479,6347500.8411784954,-432213.65997956396,-3010504.8779519051,-15948.450850402545
|
||||
2,2443190.1347555555,-47332674.677174494,96437162.588552728,4044691.8600571281,-2726447.9165522312,-1350096.5852611093,139058.85673017293
|
||||
2,2451545,-107456499.11753505,-4885013.934682807,6135634.7884249436,119396.68107607722,-3036121.3946579923,-48387.664952766623
|
||||
2,2455076.4432032732,20202469.69597289,105843560.20693743,283454.43411242985,-2982497.1130464175,552198.47762233636,179688.65335834413
|
||||
2,2460000.5,72220860.428512469,80401285.338458344,-3063474.0295521943,-2260354.3476856155,2009106.9892069581,158011.54668176998
|
||||
2,2461559.3401571172,97686740.951600164,46733605.277595244,-4994174.8085723948,-1315433.0416159746,2716434.0450355057,113233.19531001789
|
||||
2,2462119.0103735076,-98751096.194552884,-43370993.874261916,5101620.6169397449,1196028.4285299559,-2784395.8185558799,-107287.01383539705
|
||||
2,2466508.2980600731,89260719.14185901,61171664.691463679,-4306350.2342275959,-1719731.8379031692,2483015.9986705738,133417.20221769597
|
||||
2,2467214.0734550403,8810735.1871943474,107335975.12843892,971622.01666727895,-3025936.6886442974,232022.39997548691,177758.6342321815
|
||||
2,2483861.154225477,-47808303.573620416,96205555.222776547,4094237.0471775178,-2719725.0345481192,-1363402.0411640089,137822.88206533148
|
||||
2,2487781.5183775919,15140384.725686122,-107725634.21192127,-2374651.6255159318,2976237.2743351609,410638.01918223378,-165820.94319232434
|
||||
2,2488976.8802520866,91756031.958667472,57395042.696522087,-4488147.4552586768,-1613962.073383762,2552437.8249193714,128630.49720090649
|
||||
2,2493896.7889425042,108061208.42409042,-10286780.463332528,-6370949.7944755591,273112.64489932999,2998532.2150433669,26200.517245331936
|
||||
2,2497732.6999815218,101782644.49525854,37109021.542570859,-5344531.8354322277,-1046487.0694103007,2829563.7942731827,99954.021182772427
|
||||
2,2506117.8615391958,-75670096.539423972,76136485.795998752,5430508.0099772615,-2157036.877098083,-2148871.8768474623,93989.245606856057
|
||||
2,2517246.1236592727,87485924.205242038,-64597370.207659014,-5951531.9894503849,1778853.1636963107,2422396.5208109119,-68103.880572804803
|
||||
2,2519218.527312689,-46661470.118275486,-97933960.678263262,1297647.4196195737,2710969.4988593324,-1314577.7341527706,-174699.90629232378
|
||||
2,2523540.996495964,92906854.713057578,-56483831.952075027,-6150222.0952572785,1553858.1923693751,2573194.5281268978,-52868.453645652597
|
||||
2,2532976.2550329855,89354846.758109152,-61966977.647714458,-6026083.171314368,1706042.0105205991,2474602.2309257267,-62818.738496299426
|
||||
2,2538811.6938372049,76281218.075712502,-77559189.314366594,-5499046.9113398101,2137983.0498474645,2110809.954223237,-92743.803650400761
|
||||
2,2540519.962584882,-106421189.03900115,14993982.877481461,6335892.2207540106,-438191.38837455597,-3009413.2713302528,-17947.066066026899
|
||||
2,2542683.7465258394,85901817.547060356,65754033.179139525,-3996482.2421126645,-1848211.9160363362,2390042.6454672697,140603.65865046394
|
||||
2,2545799.8918804177,106974861.14931338,-18589093.021483492,-6418745.0262438506,503700.17268130241,2967728.6601805501,13698.755786982236
|
||||
2,2554800.4063734324,106776949.19428028,18830185.224024165,-5865556.1552418079,-536408.70840691985,2966333.8787141424,73683.846441075002
|
||||
2,2564546.3797517838,-88018323.187250257,61446359.14626874,5949628.6705891034,-1743870.4967848875,-2495849.8482787418,63961.714101573954
|
||||
2,2568857.8037438397,-90389583.347125724,-59133104.793711975,4332305.1473217458,1635605.8713159913,-2545841.7248026794,-131014.32506063861
|
||||
2,2569657.7832248816,64466490.20769988,86692235.588022277,-2441407.5371490498,-2437090.9115038025,1792541.9454808733,166093.29044658484
|
||||
2,2571779.6596574797,-89149349.156777367,-61022180.234692827,4231649.5684545888,1688120.498298215,-2510643.5898897164,-133557.70956513248
|
||||
2,2573845.72326151,26327216.01133335,-105562122.24642898,-3052315.1826380515,2916008.0266248835,722305.68194506667,-156945.85809479569
|
||||
2,2574679.3848221404,-107556023.69052672,157198.68326226503,6179717.5024271552,-21889.377971977101,-3038728.253048047,-43098.181378476445
|
||||
2,2586633.328828319,-33972131.225953549,-103111828.25931066,436060.86562703649,2853765.9310128251,-959013.22219733789,-177908.61716380995
|
||||
2,2588889.3681069808,-7384815.1610423662,-108452211.97749172,-1170691.3901143111,2998900.5676504015,-216647.36950916002,-175324.6407883763
|
||||
2,2594277.8368477505,-20357624.612246543,-106712687.77534255,-405243.09969590412,2952380.3992813271,-578610.85599768138,-177952.83410889964
|
||||
2,2598041.6903311247,-105572981.67846031,20034444.722453244,6353456.9700508025,-579702.24229324155,-2985824.9941394809,-10844.529484177756
|
||||
2,2618007.208889639,-46943180.651924856,96644566.462484002,4133381.318128617,-2731630.7055824976,-1338611.111163781,136615.6564997129
|
||||
2,2619104.9895181251,29151593.000128984,103805782.99172674,-121385.57508185414,-2922859.3653956577,803608.13953064405,179552.91947082675
|
||||
2,2624348.9463801663,-102971597.52116089,-31818491.849661775,5425033.7441220116,873589.52487674647,-2904102.4159733667,-93545.578067472568
|
||||
2,2625973.7911196384,18919522.034037419,-107120932.55150159,-2688734.8196804789,2959909.0526253926,516413.87828858255,-161885.20828089525
|
||||
2,2628830.8427112484,-107440550.48820768,4516366.8980668746,6223956.9444451211,-144106.27776208657,-3035966.9634991945,-37287.315279048475
|
||||
2,2631525.3311457839,-107010002.96328291,10339315.339765346,6286207.3101040022,-307492.36664328317,-3024557.9813306523,-27820.232732257609
|
||||
2,2637366.4581031906,-106622090.96742213,13644423.494794331,6312515.3601201503,-400247.86604500382,-3014167.4369755979,-22487.694582013301
|
||||
2,2639974.7556735859,93411295.769036829,54700904.190817393,-4524685.5401008679,-1537895.6331777391,2598334.1927994937,127279.13193708523
|
||||
2,2645792.98103983,107533529.90087917,-14885300.649720408,-6382241.618357704,401395.70344651409,2983838.3170591206,22159.795590633734
|
||||
2,2648756.1380476817,55170479.598759726,92817843.562498584,-1752097.2185511866,-2610180.4328131326,1532855.7515543145,172660.47427424139
|
||||
2,2656427.132125603,-35990109.897135116,101293215.01994929,3600549.3421349232,-2860838.9647042225,-1029551.8259910308,148056.52731444628
|
||||
2,2656698.6733645685,-107121119.73842196,-10433281.679512506,5971465.7758826986,275168.76301405201,-3024305.3373376988,-61758.189804441783
|
||||
2,2666316.3092702208,-42613356.353102915,98659744.400841549,3945654.2258462361,-2787489.2860160815,-1216205.3885429057,140867.42253017504
|
||||
2,2673010.4253083887,85488938.318149686,66299868.378245324,-3872182.7612445042,-1862875.0295233368,2378429.237998852,142998.08643560988
|
||||
2,2686361.2508103959,-106368571.04835746,-16682122.225094575,5821475.9612268833,450104.30226602609,-3002092.8223516718,-72062.396383369371
|
||||
2,2686719.8063610215,80357075.687320024,72374172.240503892,-3475061.4428331759,-2033552.23857591,2235816.9736150336,150731.97398947936
|
||||
2,2687946.0875379848,-95188696.304943666,-50903120.492053099,4653211.1304734778,1406386.0346734803,-2681510.9589285585,-121789.01608641933
|
||||
2,2690127.1188382218,-20993803.069368895,105498738.93175229,2830885.9806306548,-2977278.028044784,-606742.94728528068,160746.46719970414
|
||||
2,2703026.4973107646,-39210254.481353708,-101193323.47140877,664781.45031678851,2801564.7552399705,-1105297.1198218167,-177180.36138177465
|
||||
2,2705875.4446990406,-72555208.242861077,79152756.971950665,5375755.6531584598,-2240909.4909499716,-2059994.7683031443,95861.52294731616
|
||||
2,2707884.5597810228,-38684248.379368179,100285320.27353823,3772566.7568220464,-2832650.2951226868,-1105475.9516828116,144486.8179669597
|
||||
2,2715993.567313022,-85970829.066260502,64316777.216375738,5913635.8465635898,-1823772.3193940907,-2437312.861882648,65919.900228848157
|
||||
2,2720331.5957055115,-30292203.885585174,-104267876.91084723,92698.326305434151,2886015.0742432633,-855675.12900154537,-178097.09402055194
|
||||
2,2724970.7942361315,-62607072.720521629,87274371.976272553,4943936.4133489579,-2468394.843341832,-1779520.8464806559,112832.82380376694
|
||||
2,2727321.1167756803,39884050.152848855,-101222692.29474467,-3868287.1819935082,2795557.5150661292,1099822.8236221352,-142144.71761688162
|
||||
2,2741241.8489915738,8617122.0959896557,-108394266.72902822,-2208499.2132693049,2996989.3328974824,229914.90851256746,-167185.04977287672
|
||||
2,2754094.9248608658,105371208.21537092,-26224167.401874777,-6420465.0282356367,716700.96435325744,2923421.7705006329,5777.4749525231518
|
||||
2,2760615.6160826953,107723473.80596858,-13300657.737775145,-6347255.4946056884,357867.01381234999,2989875.5513025471,27427.344118058292
|
||||
2,2775185.2759731333,47819291.778943598,-97718333.946358681,-4294306.2473612009,2698471.1744074919,1320596.8007715486,-132305.42953246782
|
||||
3,2123077.9044187958,150011688.32364291,-4241258.1592375692,7208.1649792749322,29471.886974029479,2565081.3685992337,5286.693869726344
|
||||
3,2125493.0129779568,-111583290.2605004,-101630426.61357938,-219871.82046368378,1689780.3911511921,-1910543.5137978822,-3727.003051445889
|
||||
3,2127240.1047301525,-119445230.19334109,86942365.420970991,163913.56071823146,-1557958.7831606984,-2088548.3497279307,-4409.2466582248999
|
||||
3,2143495.6778419479,120812273.52234247,-91338117.876217917,-163997.2586961943,1508933.6040261334,2045292.8065886854,4106.5576800473373
|
||||
3,2149469.4322525724,-4488844.1522830296,147008448.67706674,278068.9159929842,-2615717.4612184018,-86354.931075681263,-434.46976837275628
|
||||
3,2150883.2847262891,106698703.70117955,102780916.15704103,204516.2244351113,-1828802.4719599418,1845883.4541901203,3283.3933828052814
|
||||
3,2159451.4265684807,-127358297.57381056,-80209138.581441298,-159541.5260581648,1328450.9052149395,-2185690.0992473192,-3859.8008770271658
|
||||
3,2175797.8605743796,-78648054.109281704,124463670.00667813,207247.35865115302,-2218804.5551616787,-1382839.2755046138,-2611.0601263694443
|
||||
3,2183267.5953005878,36046562.640249446,-147800464.85623035,-244402.99772450206,2457567.9633107255,601763.23482280248,1251.6858224737146
|
||||
3,2185165.7134038047,149135620.35671857,-18968919.352376901,-17227.063332222766,281635.23380785418,2545181.8370437585,4268.5734950502056
|
||||
3,2200332.5143861603,-148717962.54599416,-13230015.504735576,-34749.253100045004,185191.76374602292,-2571775.4003664274,-4020.7826430957889
|
||||
3,2202394.2021528175,87398412.300151139,119241049.7859927,194151.0886945184,-2118820.3786569918,1513391.9544849047,2158.6603938397348
|
||||
3,2203638.2169229002,-137976172.22970027,-59106778.082380205,-104688.92080863682,970505.63416784024,-2373986.525872401,-3591.3712084605409
|
||||
3,2212723.8680658517,-137197573.32088569,55977648.261782281,70969.397643006596,-1015242.1963094863,-2391379.3626895184,-3663.2403926909083
|
||||
3,2212972.3553689867,114644900.64475699,94153896.807234898,150905.84227379179,-1676382.5938147057,1980747.7837061351,2798.7685449072906
|
||||
3,2229933.3254507133,-140986512.50352427,-51051180.930575065,-83080.533946719079,833445.86399560713,-2428397.9151699962,-3293.4870532434934
|
||||
3,2232785.4724917868,-94760713.766424328,112867217.8266563,146086.09699630857,-2013941.2758640004,-1663223.9652631052,-2450.1049365232034
|
||||
3,2233698.0268184901,92708268.383029133,-120274545.61421455,-155490.13020433355,1995642.584270369,1562955.651357004,2305.1131381122495
|
||||
3,2239601.3277611369,149274406.15819132,12851982.999730663,29969.864040719476,-263576.05968432972,2555902.6757260007,3358.6138438919866
|
||||
3,2239891.3682846432,57792617.007091194,-140668528.48428014,-180957.79873462129,2337972.6166632161,969725.07897013321,1486.4306111715623
|
||||
3,2245467.3026720122,133180522.0509557,66544927.382086709,96806.486308832973,-1193153.3062846353,2294051.0410899692,2851.6028003759529
|
||||
3,2247843.1749270088,-127709516.37755896,-79544141.336766839,-111695.00982602901,1317954.4075512597,-2193143.5733896042,-2678.4038896710417
|
||||
3,2268470.7773763468,141158417.24768898,48391596.868166931,66358.982274339593,-877407.2316201689,2426057.5327012273,2707.1584693855757
|
||||
3,2270168.4744764976,-39362613.568487935,-146664106.62807876,-169276.0147568929,2443171.8082777462,-675649.86895414023,-569.86071172616823
|
||||
3,2270501.8261081371,-108028657.79304723,-105418802.95214736,-127652.06285081056,1754949.8646630461,-1850577.5144110038,-1955.8524472373069
|
||||
3,2272736.6828372348,-10914402.69836783,-151646009.58840561,-170258.11376938535,2524378.6679331302,-193296.73559958581,-16.163688759808711
|
||||
3,2273352.3702764092,-132707778.34162451,65567993.894917957,62953.973611005807,-1182717.7662782772,-2316170.8270994499,-2668.7550696167414
|
||||
3,2283263.8718192382,-138184793.81499916,-58515097.084148057,-71552.967922931552,961048.82962745603,-2378576.6523080566,-2424.3540561015534
|
||||
3,2299798.5658109104,69664713.827363059,-135126395.1427865,-123230.04388826821,2245087.7839181903,1170553.4734940771,1261.4487402232478
|
||||
3,2302763.4744230416,140364790.14686653,-55546615.835393868,-41924.161918173202,904476.37440924009,2384328.2774453103,2277.3634235562631
|
||||
3,2309214.8682810999,-114995239.70957856,-97514096.55219245,-94202.910493416857,1622085.9562835814,-1971750.7710049052,-1645.7026294198179
|
||||
3,2324911.0294862143,-129287757.39698212,-76799496.942915082,-68293.579787276292,1271873.097151269,-2221697.0225293841,-1678.5644835013209
|
||||
3,2332706.751504404,132178329.03934515,-73470883.512846112,-46993.278050568013,1207933.788556793,2240691.9798667743,1729.8419754554477
|
||||
3,2333613.1814416167,-124168793.66483127,80164328.439567685,52070.045720141919,-1438500.8172972579,-2171286.9064987935,-1675.1358903300459
|
||||
3,2336877.6632670416,-82375356.723402396,122060962.39460605,82784.005281695558,-2175864.7150877472,-1448645.5136811121,-1151.6488272360357
|
||||
3,2345192.9798965924,118256272.91601372,89802382.623454019,65231.911444519697,-1598949.5746977858,2040772.4465272503,1270.1203609684173
|
||||
3,2370991.719167856,-8139397.2209163057,-151800778.35468492,-76496.517413793466,2527807.9108885429,-146965.70285964341,27.274224819769113
|
||||
3,2376378.8498725621,-148837433.30746043,5502485.7391477227,-3338.5474125657965,-137370.90136798413,-2581081.0693295458,-1213.2138423050703
|
||||
3,2380005.8086885167,-130934989.01918162,68901740.701846555,26047.281462083371,-1240734.6378228392,-2286873.9029324809,-1064.3880424420581
|
||||
3,2387124.1056553391,124520533.41984315,-86144065.707413092,-30429.969768302766,1422223.5524674957,2107328.3592495746,891.07190090155279
|
||||
3,2388122.4774242025,-92798389.236620784,-119349709.48581156,-50191.068503242801,1989635.9494099,-1588996.9339784875,-560.9513948937032
|
||||
3,2392154.3841063543,-62408568.66861137,-138155323.67176533,-53088.999059506292,2303341.6993882628,-1068747.8926171723,-326.47856049414906
|
||||
3,2395842.9038048694,26553839.920357917,-149762865.36253607,-51186.596843344632,2492213.5446501002,439989.85569802305,223.82663488938445
|
||||
3,2396629.7907888312,135851248.43356329,-66208126.677738436,-18723.344269040244,1085449.9374370063,2304423.9824411911,817.54310141583369
|
||||
3,2397629.8318821136,-70112899.460080311,-134302030.22985047,-47122.955463528509,2239407.0263908906,-1200473.8481442311,-339.18822267941482
|
||||
3,2404811.4480631137,-73648630.060925826,127452281.52332455,35069.309847220662,-2270619.3819699041,-1297103.5807032769,-431.57166773835235
|
||||
3,2412889.9097686643,-142097941.5655677,42587428.542010799,7400.0110113663695,-780877.05102880159,-2474795.4406829616,-608.11048226238427
|
||||
3,2413887.7417795858,64851436.000724196,132618190.96998402,32257.6565090521,-2354174.0780424606,1121241.4845317737,216.80026762013674
|
||||
3,2415269.3455272634,145677128.86032447,-38669477.139764711,-5836.8425546910275,618152.41780272464,2478201.8467555773,571.80948369008865
|
||||
3,2427281.7438184912,88461606.385481849,-123478719.31730016,-17630.714343533593,2050188.4784037748,1489530.2823447548,253.37537162525732
|
||||
3,2430223.9755300651,123998242.67263408,-86927445.26161392,-9986.5211663410064,1435428.2079573621,2097944.8645803961,296.57059829239574
|
||||
3,2438709.3066442958,99247635.112539679,109964916.4315235,9466.5441669590673,-1952648.1061745584,1714929.0908037524,120.76748755728502
|
||||
3,2443928.8440317437,-134635878.01032671,61580658.788458034,2170.3091401063589,-1112499.3695083465,-2350162.215970879,-115.19970126698291
|
||||
3,2445644.9856616813,107165956.22016843,102483553.35096519,3922.8551026753075,-1820905.0778939987,1850504.1533740473,60.89240552051254
|
||||
3,2451545,-26502570.878664158,144693953.17519942,-170.45460439614484,-2573548.5485954834,-473314.40293698892,3.6551352941262847
|
||||
3,2455780.6185128624,105645461.29676957,-108907021.64669758,2793.9896788983046,1805423.7614337029,1782321.7480238089,-53.756338100892059
|
||||
3,2459182.2556217411,58393303.764963448,135523608.35259447,-6522.4521358264565,-2405613.4382765656,1008736.6185510629,-40.702987243753476
|
||||
3,2460000.5,-135034590.84294599,60716760.608444914,-2422.2966263232124,-1097259.420800749,-2357174.8929438298,128.59845449763768
|
||||
3,2488482.5704794307,-125072151.83811666,78762082.856529325,-15526.59994477988,-1413200.522993651,-2187632.9450550205,534.3619144530968
|
||||
3,2489819.2025211975,138336406.33030823,55838303.181056008,-16342.387883410036,-1005083.9951052838,2376815.9287381172,-537.43463126762288
|
||||
3,2492685.2748244773,127448382.7669251,-81666009.531408712,17637.168564783173,1346764.4621657394,2157232.1248993133,-581.99233171737353
|
||||
3,2504033.6608409234,149001903.98494816,-20988324.523417957,2256.1416722391527,317275.74693319626,2538642.6912232731,-836.46133723586263
|
||||
3,2504602.7596786916,-143470795.074716,-42713918.696756542,18743.55157443769,692771.78495156334,-2476674.7721482934,793.01512386164291
|
||||
3,2512905.4735039109,-19759663.11139622,145787559.25074819,-54701.821923646647,-2592114.0283941482,-355627.43300621823,226.86265901519278
|
||||
3,2523346.855778534,93955105.089343816,-119292618.11895809,49262.284112349589,1980339.49533416,1582479.6267289852,-793.63685307933349
|
||||
3,2527986.3878183668,-137369089.29334643,-60225833.039895535,34973.540778753551,991906.35977525485,-2367229.6735181818,1076.4529904452784
|
||||
3,2529004.8281801906,-87202645.318379521,118709007.25100467,-52634.227951305089,-2115826.957999886,-1533862.9173304292,838.7762453586721
|
||||
3,2534204.6539322813,-126973690.48171455,-80520289.876087278,47648.965886335973,1336915.6960493869,-2183722.4510780177,1051.2597913317359
|
||||
3,2539832.3931754557,149875396.59254009,-11763882.956999924,-1847.0148301324639,159935.4423546294,2555726.3473824835,-1405.1079438022875
|
||||
3,2552765.0013598762,-121090699.70944327,84602071.04080826,-45223.540344218061,-1515429.9063848935,-2120014.1082991548,1427.8718847793959
|
||||
3,2554081.6564721013,150162166.16685972,-850546.38394512609,-8838.6469375721936,-26917.397196803959,2563526.0426308983,-1625.5557972412917
|
||||
3,2558285.6269039265,-148182962.20381489,-17888134.901124261,21979.426493493454,267036.58795215795,-2565365.7705797665,1680.2533932556826
|
||||
3,2558371.8932364495,1248388.483492488,-152001925.18433836,100658.99187427576,2532289.747012224,10918.874772678826,-179.4437676784693
|
||||
3,2563235.3643878875,138727443.33867124,54997012.728728287,-47754.042256185996,-989908.13499372115,2382199.4308211841,-1575.4886173099603
|
||||
3,2569990.0017094421,-138208734.75112897,-58139196.002090521,53415.50666112583,956639.69416408055,-2382665.1731449254,1675.6873767518255
|
||||
3,2579255.7230520854,133409670.87254651,-71237714.065146446,45042.551267348819,1170969.5479663748,2259998.6418462377,-1883.8490981844586
|
||||
3,2580334.9513992053,109117279.18879056,-105369387.07114293,74988.789097115543,1746549.8775629075,1841068.8044384667,-1610.5826073533524
|
||||
3,2585619.0314996373,-86033575.40095745,119550728.47904891,-91681.951831620288,-2130343.3796984991,-1513809.3354711833,1446.1299933124274
|
||||
3,2590927.9373818147,110086845.34143028,-104338471.54220723,79810.386571604133,1729305.938269506,1857547.4000994023,-1758.4644852556564
|
||||
3,2594131.938634336,-82685313.141472936,-126651543.58379926,119655.90544159478,2113779.7257669647,-1417504.7979442,1050.6632141535119
|
||||
3,2594454.9199183537,-144053355.8292357,-40432765.444242775,49481.342446562252,654267.45384081511,-2488459.8412133236,2140.7005429001429
|
||||
3,2599132.0830741855,-82948797.029328212,121691831.08966888,-102948.03181166803,-2167890.5476967101,-1460014.4510323354,1540.8271801377296
|
||||
3,2599597.916308701,-107721069.24867189,-105540837.42516913,107064.87105286878,1760059.5689963063,-1848893.368115522,1519.269335427522
|
||||
3,2599795.5498471037,82374904.509327263,122866268.32021031,-120878.81839351101,-2179012.8728040005,1422714.7326363705,-1090.9585371616918
|
||||
3,2602719.135731013,79007801.776871607,125003913.9938866,-125124.08454083838,-2216852.381188455,1364519.6336056162,-1051.5606376481949
|
||||
3,2610128.653321431,-142254465.63456875,41923113.855692856,-26257.405093118468,-768818.6702577261,-2479298.5168556268,2511.7661183371783
|
||||
3,2612009.4318707641,-119552800.05114856,-91468161.830381215,103896.0047373656,1522806.3859761443,-2054627.8439339323,1879.0890629943024
|
||||
3,2613361.6542204674,-46865697.775102489,139470315.88464218,-134326.78504103352,-2480877.1114372895,-830303.51034720975,1097.2917936555664
|
||||
3,2623207.6890664985,-6133148.7716235351,147048132.72161013,-155420.84931344297,-2612766.7779649817,-117825.37732443417,430.90343045279064
|
||||
3,2633947.2335361363,-77651518.638522565,-129861997.76119569,155975.90221696885,2167938.7496219794,-1331466.4828671366,1233.9865337485935
|
||||
3,2639963.4621254038,103352124.60400124,106335175.79587613,-137096.11071120756,-1886682.8151974948,1783271.0217673888,-1831.6238181411677
|
||||
3,2646597.6717841192,-41065696.398070909,141287104.89087972,-164692.94541715301,-2512498.3871785281,-729036.7264011834,1220.1441960702577
|
||||
3,2656885.4775461224,-144969194.89091039,31923077.282294001,-19537.3627225251,-594506.78481299209,-2524318.6149398903,3287.1822922308211
|
||||
3,2677018.0529618911,-129323575.32998081,-76431950.516611591,127401.7895153336,1268641.0327441106,-2226655.386988977,2896.594025087501
|
||||
3,2687156.7457698481,-78237588.102759495,124738926.9485514,-167873.41812346558,-2221194.5566240051,-1378537.4418958307,2379.3309720992934
|
||||
3,2687478.5469928114,30962033.602245949,144111163.68020093,-214904.30030768938,-2557193.1849871594,529765.08970899112,-333.93620951021325
|
||||
3,2691739.3598765568,111285880.63626042,-103045179.63412993,133131.71872914929,1707751.9568892352,1877555.5996259602,-3082.1990790775471
|
||||
3,2694998.6611173609,53085407.804646604,-142470044.54057875,204650.69770470588,2371044.9782421952,887693.19312099984,-1752.1036579228369
|
||||
3,2699607.7463223063,-133891483.96437524,63031305.892891757,-72002.142758700356,-1136992.4733846572,-2339647.1053115595,3783.2988162015422
|
||||
3,2712994.8481145767,134034969.06141903,65318287.9567357,-131293.15949098396,-1168117.1580433119,2302559.8832108085,-3484.1650726372031
|
||||
3,2720192.2663031323,31046979.72788436,-148838962.82236651,240158.28376969651,2478883.4036636152,514294.95084334986,-1348.9065214259449
|
||||
3,2734478.9223056557,118769006.59228401,-94145068.184117705,138620.17009446988,1558196.9512451862,2005821.8321727379,-3824.2553256477718
|
||||
3,2735766.2260085526,-131645406.36674798,67454162.141482398,-89607.261540026651,-1214323.1382982663,-2301713.164645215,4287.7679867646093
|
||||
3,2752197.1942264545,-124256034.33644654,79943905.784949973,-119187.69078103271,-1433068.5216303363,-2175836.7422941532,4356.1742847982823
|
||||
3,2758238.490190743,140874733.90005955,-54480259.478974365,69540.28018322635,887829.11816629942,2389029.886272348,-4714.3873750833636
|
||||
3,2759166.898219761,-148605037.11258277,7321211.307623622,21653.675632352337,-167019.0491953762,-2582020.4411891531,4930.1592116364418
|
||||
3,2768290.7817972419,-146083323.62731701,26641518.474851143,-15862.704909435051,-502136.28736247134,-2543363.9612122225,5079.0099674622679
|
||||
3,2770125.8040816123,-148772794.79671443,4171913.5172904702,28636.166757742481,-112620.89757022774,-2584172.7619273458,5090.124288144063
|
||||
3,2770289.6663790005,138740564.73909503,-59893951.207406834,82963.167516203088,979516.61235083942,2351557.4333962086,-4852.460234543546
|
||||
3,2776319.406326449,-141477786.47073495,44237438.68813888,-52284.683945855031,-808474.6397060107,-2467932.5366927022,5132.532099198218
|
||||
4,2123113.0349457869,169645325.01381919,-118332722.28601916,-6928585.6350790635,1289123.5480610505,1888372.9053240523,4702.7612428950169
|
||||
4,2127795.3645717041,-78032699.119610503,-209209803.01036894,-2241538.0028977222,2051796.6921908711,-559138.92873782071,-65804.148226055433
|
||||
4,2138104.6861491553,-68451583.494976684,-211649275.03314325,-2551488.2160453503,2081811.6195760921,-471734.19905077893,-64688.106626367015
|
||||
4,2143897.2885015784,83589941.16278632,212403974.8852616,2172033.8736001253,-1857418.8809273182,937609.33705121395,68304.337918905425
|
||||
4,2150094.8669681395,55419459.042192914,224291341.63690257,3164075.2536412505,-1941985.5174530847,673283.57437014079,65023.32018098791
|
||||
4,2156031.1187056098,70802001.770389259,-199323367.99133694,-5972043.853912374,2062097.7846084624,873832.51675802225,-36218.007088009057
|
||||
4,2169854.0779234455,196472315.143022,-64980277.802895755,-6493329.3864460196,747215.0098060678,2159829.9826729107,24980.40629461201
|
||||
4,2173847.7005283888,-25884761.946245044,-217305567.46284693,-3807805.8524572891,2167313.9105957923,-74133.372850670654,-58313.356927994741
|
||||
4,2174730.037998172,196208609.43652722,83864746.326499611,-3409001.7890076013,-732568.30285630084,2097019.6153501892,62479.038630553208
|
||||
4,2187010.1218484947,178953087.01365036,-103475672.48300931,-6812932.3606704017,1136847.0434628574,1985216.4861966881,11314.330982371532
|
||||
4,2191692.3820939488,-61822623.634353675,-213265195.1393767,-2793642.8292404963,2098787.3687698026,-409308.0803191727,-63235.53125906847
|
||||
4,2193343.1313160704,113329214.79442605,194147201.61351764,1056599.7370413269,-1718957.8771709725,1227894.5934295177,70220.13280006159
|
||||
4,2196093.6560216988,108876912.35167696,197245973.02786848,1238268.7686739669,-1744015.2287073245,1183952.2231034229,69942.673036993176
|
||||
4,2203231.3770349962,-244296458.84833631,-21277800.925866634,5919402.0192666603,268497.76620476466,-1912309.0025312218,-46532.843559259964
|
||||
4,2206390.2505630087,122626045.82446082,187061615.83904162,679948.42779132572,-1662267.0906534032,1320582.1128790977,70554.106063043102
|
||||
4,2212798.3843579576,-237129479.69922173,74716259.409015909,7705436.5711035272,-542172.61991492286,-1823454.2637537667,-23650.059222177853
|
||||
4,2215537.6106538624,-231877773.21279213,90343733.867995501,7889506.7002875423,-672966.46057336195,-1777143.2257908643,-19307.225651398596
|
||||
4,2220168.785808885,51371652.422582403,225311110.7683236,3331306.8862268901,-1953407.1489966027,637894.15217659948,63862.90098594447
|
||||
4,2222230.6847840799,49476311.069073729,225936042.08346221,3394590.5332879019,-1957244.0751907926,620462.76213057211,63577.367773736791
|
||||
4,2225351.8379692216,-67366771.710258275,-212260289.69295841,-2650064.666077795,2082286.9519091342,-458604.43312512053,-63432.695582161352
|
||||
4,2226714.9654775043,-89492167.240217909,-206180528.44713303,-1951498.5861476827,2007508.4560931765,-659173.39600163326,-65635.379827655343
|
||||
4,2230008.3344342182,-246550574.40793842,7798400.5157496287,6540868.1528948089,19783.893127021642,-1918711.3636488814,-40254.369689858228
|
||||
4,2235617.2172599081,-143020346.6247828,-180549324.88885352,-44446.070639633523,1727602.5857428545,-1125478.7854467633,-67962.944363549235
|
||||
4,2239455.3988043396,-50538559.693794653,234453209.22728118,6163366.5682347007,-1959177.3146639678,-268064.04498083959,45031.289166961105
|
||||
4,2244227.8197905556,22119882.849712588,232697333.7463007,4252174.2167414008,-1997018.4219869385,370930.62537675782,59199.411634333534
|
||||
4,2244866.8475764599,112801511.75172092,194272849.24082562,1118185.505388546,-1722974.2125274097,1224711.242029195,69818.39118792268
|
||||
4,2248541.2957229535,-244989733.72559643,37280627.624214903,7085445.7230677577,-229261.03433900399,-1895278.0520073532,-33387.11315841641
|
||||
4,2263212.2346964045,94753723.812403008,-187720599.53619394,-6329078.7466565287,1954442.8119548073,1118667.4636579317,-26981.297357937274
|
||||
4,2263306.3837560201,207482408.89712873,-14585519.426885368,-5631430.8112333566,233643.31524687199,2262774.3844072134,40955.417530933555
|
||||
4,2267110.5793651319,-246319691.73815671,-2736872.8900927696,6263923.7349811569,108024.34193228693,-1918691.3737874597,-42598.468095384211
|
||||
4,2270286.4218801963,110526739.65136781,195734234.83412483,1228591.3946142364,-1736625.8266831099,1203130.9774756378,69505.486020579425
|
||||
4,2275884.5760737974,-87658318.89073585,226033604.1341134,6939141.3792371461,-1865981.2318239934,-582923.02753428824,35678.8927590733
|
||||
4,2280256.3695080988,-166961672.05510375,-162936362.99684522,887010.61611706507,1546706.4875352434,-1322960.8906711934,-67050.533521097081
|
||||
4,2299656.7972613135,154730347.35682946,-137978167.72162998,-6810443.3995764069,1478011.3102088047,1738160.3381895858,-1502.8718880194483
|
||||
4,2303402.269203268,-154055629.39778405,192470576.08313009,7923069.4395677587,-1549815.217563757,-1133404.871085796,15865.785497967736
|
||||
4,2306519.2365563889,143365327.30602795,-150394018.848268,-6774353.3870361969,1599625.5325221827,1620389.9001893818,-6977.2571662339606
|
||||
4,2335563.956944535,84280200.530172676,211101290.31262013,2268388.0422518039,-1860218.6058178663,951394.95252414222,66808.791572105634
|
||||
4,2338728.2978442991,-14891255.98638241,-218004922.0580104,-4166690.8195951795,2171493.2770035462,34474.233245853167,-54097.825018123411
|
||||
4,2354258.4124045721,-182741362.12891811,167486397.36018407,8089252.1840300355,-1331845.7757078107,-1366979.6583888475,4996.9190746774566
|
||||
4,2355260.9334874172,81149625.890903622,-195093177.23598731,-6108598.7892291294,2015621.6188184072,981674.31402463466,-30212.526458221633
|
||||
4,2379052.4411693225,-240252421.45770839,64332227.150182679,7350166.6428052187,-460496.5843351942,-1844981.2427662532,-27008.83521575552
|
||||
4,2381556.983789904,143127473.10586086,167612044.83236706,-76937.782855225232,-1509467.5631579298,1536156.0524397432,69801.459805753155
|
||||
4,2404981.9574490115,19664994.454249669,232436831.85127446,4369725.8484374797,-2004578.4588565957,352994.71251588641,57198.709027249824
|
||||
4,2408033.9721599305,-168146953.71186453,-162658352.84904867,775270.99542372092,1535730.8082925442,-1326758.0884550363,-65884.824419238677
|
||||
4,2412745.0615201537,-247034482.32550263,6218560.0392962564,6258843.0682784189,27193.992374279158,-1914894.514934916,-40718.066174475258
|
||||
4,2415215.4677391909,148341347.71463433,161891124.46993902,-292503.05768463202,-1462471.3071019789,1591772.9468690171,69548.518144970003
|
||||
4,2423075.7402529335,-240858613.90874225,-43403973.712841198,5052528.5018781042,450546.2492867948,-1882198.7362451658,-50530.987101194631
|
||||
4,2436018.2546131993,-194970172.75350359,153800671.87094912,8029888.0224727076,-1216915.7108330608,-1465426.9860164903,-659.52592807958831
|
||||
4,2451545,208048153.2106522,-2007056.3593485206,-5156289.6411088854,100454.95495709612,2271979.8709806567,45126.439648045038
|
||||
4,2456340.8760012174,204815548.76836407,-31404803.562050201,-5686738.5274491142,397528.66411029437,2247827.2437879201,37335.96727644722
|
||||
4,2459036.1882308088,154004719.13764971,-138954542.60754138,-6689725.1454220014,1481943.9041166191,1733508.9875466446,-30.305129523003487
|
||||
4,2460000.5,-98563777.290617749,221732625.06119835,7064826.6290333532,-1833712.1052442756,-672397.65601629508,30887.745854786615
|
||||
4,2465340.1544623259,179898297.62481353,117754877.05563647,-1938735.1947472345,-1066686.8061785963,1930349.2917226185,66592.20840667533
|
||||
4,2470453.3672715141,-247110975.83001322,1940462.4924449222,6086007.9308302561,61126.619295657394,-1914172.9877650891,-41633.040691204675
|
||||
4,2471623.0257334891,11354822.489547646,233408763.83357087,4615891.8602974247,-2012385.6429902106,279784.73732476973,55089.469573685768
|
||||
4,2472762.5104311025,132819580.99833027,-160647391.28110349,-6616566.6627190672,1691985.1073590796,1513786.9229256329,-9632.057301856903
|
||||
4,2480244.0148984119,-20135941.348666333,-218530378.95609277,-4091694.1747443872,2162874.4718723046,-11847.665505636136,-53041.803185679171
|
||||
4,2493951.4627856016,-87769842.818381846,-207980041.1469889,-2229859.3020672728,2006299.237146927,-633402.134749213,-62099.834562723539
|
||||
4,2503450.8331075516,-241658804.06807217,-41053770.455058627,5003843.8683744362,427135.34128361859,-1884297.2580368617,-49931.459918647146
|
||||
4,2506415.4980710978,116803129.52151398,-173785384.51293328,-6481547.0346630262,1814960.1022497846,1348147.3497248585,-15709.621426048809
|
||||
4,2512080.3439736152,147151541.6640968,162569672.94728148,-149489.83995338395,-1474437.7716997056,1584670.8093146598,68995.182050365518
|
||||
4,2523377.9062283342,-239553125.3629677,-49931814.33257398,4736850.1524098283,502905.97363391519,-1869127.248657556,-51424.05254807802
|
||||
4,2535207.1375189004,-10263438.558421809,-218559534.43829498,-4348063.8749862453,2167470.6411799509,83628.057148566644,-50432.032569064235
|
||||
4,2540107.0117029399,163725906.17906001,-126793772.44234832,-6604218.1667409157,1358236.6111512866,1836348.6462197867,5950.6682698172544
|
||||
4,2541391.2220755946,-7484879.5056934878,-218461714.94429103,-4413587.2690519365,2168330.1377007524,110061.41194467133,-49820.665834589548
|
||||
4,2548327.9769965075,128374994.82663053,-164617506.68735364,-6543991.5530863851,1726898.0521512334,1469041.6752608311,-10545.790537222243
|
||||
4,2552167.0216208193,-238725798.29827631,70937112.77392891,7216095.2085210057,-521471.5080583269,-1825857.9627659102,-25908.62506741142
|
||||
4,2558348.0965355625,-237818986.47739956,73999093.830877289,7251414.5097503355,-547435.3447088073,-1817985.3172134024,-25145.1734560486
|
||||
4,2586173.6986432099,201375215.80958611,-46814245.450125106,-5774452.4180530785,549402.70335128019,2220495.9920893572,33707.755988768295
|
||||
4,2586821.8817577441,163867373.46283403,-126622668.70313495,-6562230.6536724586,1355223.560281506,1838491.1241320842,6510.9173961287825
|
||||
4,2587457.141883492,73671087.266344398,-199178416.47750264,-5947043.9792338191,2037835.7426207336,908991.54717990174,-29282.682353441807
|
||||
4,2587799.3621917288,-135464528.5410161,203947489.04182938,7516061.9106782153,-1669433.7727751825,-977234.06712890766,19088.3075639368
|
||||
4,2592767.6329422677,-237088826.67679438,-59244199.114133552,4379951.095642183,580791.81881398719,-1849313.1101318602,-52750.038881711334
|
||||
4,2595570.6256607161,-181587613.00844711,-151272842.49175256,1119453.5109126596,1413671.6040591232,-1426358.742967742,-63584.753773242322
|
||||
4,2597165.5957643311,201443754.65521264,-46449380.007352374,-5755004.13618044,545249.37371375225,2221675.6836766428,33884.842983558046
|
||||
4,2600287.8114953237,-247531281.40843168,10053128.078717042,6075701.5649824059,-12060.567460434442,-1909927.0791418024,-39968.619005501518
|
||||
4,2607492.6203447473,207910283.48000905,3946237.1335029835,-4834152.4297171207,34873.158821671328,2275093.1031386591,47133.878015930663
|
||||
4,2623222.3024637862,149985971.19654846,-143765007.14643833,-6564792.1847036825,1522018.4760895134,1693844.0033044366,-125.98436968495292
|
||||
4,2627245.3637496624,-47326786.289307892,-217371618.35602641,-3471612.8774654432,2118344.8273771852,-262168.8864667021,-55375.139977410101
|
||||
4,2636740.451056798,-233319964.55748531,-70709499.781218261,3984574.4575609691,678858.01508645015,-1820930.1706320157,-54355.514830413551
|
||||
4,2640142.7673517196,-246900195.82703435,-9617888.949677866,5587800.7943062419,153032.09804836285,-1909264.2829181168,-43882.833002781044
|
||||
4,2649868.000383121,-140663619.66752079,-184331339.04212555,-600757.74815180956,1736036.7095832503,-1086604.7357436009,-63549.393204489781
|
||||
4,2656833.4136699531,55268848.827246562,-206654734.80571753,-5654558.6805851078,2094225.6965362916,725071.13246719725,-33589.453647850496
|
||||
4,2668851.9062620592,-116775325.73924135,213492637.11464775,7227326.1615658049,-1765301.1661847329,-822132.20729387458,23726.200467235802
|
||||
4,2671582.1173583907,-84380467.418774784,225666703.16741255,6729681.4387513325,-1889460.1692464564,-550935.40942225081,32312.621941325557
|
||||
4,2676303.9893228849,87174933.860026062,207817178.63143951,2365485.0766224195,-1859037.2051736908,992378.0141705292,64162.644892580473
|
||||
4,2684668.2380999429,-143644910.118664,198627096.22668353,7527523.1439468767,-1625693.3142772024,-1044051.996662237,15620.712976411145
|
||||
4,2688095.6827056976,-131334625.84501463,205982754.75346962,7395630.9867256144,-1694687.5245221625,-942518.3643861427,19338.608304208996
|
||||
4,2690344.5702751265,-216979935.64346993,-105722092.60659036,2788351.3053439748,987091.86331160087,-1698307.2055209773,-58745.205607734664
|
||||
4,2694404.4992509354,-247734449.70718199,8531466.8411612287,5909637.2157671954,-2277.3590119044648,-1908668.1941973555,-40292.28696598651
|
||||
4,2702335.0091680395,192159046.20127708,89613602.379297972,-2539307.4716934762,-813655.46648931282,2081352.2604813443,62789.413978938639
|
||||
4,2703516.2717751106,-13070491.535139643,-219259857.97886568,-4334275.9614902586,2160258.3414121415,60317.42432517586,-48560.365278031728
|
||||
4,2704751.205092866,-233598533.65811998,-70694288.360857561,3892469.5835386026,675575.01061384613,-1819902.7420671803,-54066.251306014768
|
||||
4,2712309.2122985488,-232799377.84313229,-72894446.828920007,3815760.6348422007,694733.48985447909,-1813599.2971349312,-54345.227917013712
|
||||
4,2735247.0168861626,200083615.18083113,-51093689.29920873,-5658788.7229037462,587687.81477911049,2213274.9483570578,33401.065820047625
|
||||
4,2735868.0731230946,117714012.40432478,-173592957.99486879,-6366140.2799300663,1801799.2504191454,1360015.6001236464,-12429.835753958194
|
||||
4,2746785.936825885,-34934866.747886032,-218994782.0922069,-3838654.2065368756,2136295.3150548805,-144134.04970869905,-51773.056901526172
|
||||
4,2748781.4771107044,-160233112.16551113,-171166792.37276465,29043.599033149669,1596551.4941868454,-1245646.1224134518,-62766.262792688773
|
||||
4,2748820.8191905124,-88981265.576721385,-208757645.25198132,-2391003.7377972472,1994334.875100231,-635458.02546885575,-58914.09260691324
|
||||
4,2759589.5310204253,-200912833.97868666,145918780.64968872,7656305.2616522554,-1162594.2358414524,-1509136.4482597501,-5534.7114523534901
|
||||
4,2766271.320202806,134062952.94144316,174057156.15294161,644852.09700874356,-1590634.8962365494,1462085.8050994594,67055.517518414315
|
||||
4,2767540.6202090513,202915021.38749847,-38994685.407819957,-5428477.5970616294,463728.10882322147,2241262.1073482623,36959.542173689944
|
||||
4,2768777.0068734284,-18488780.071072724,-219594490.02783594,-4231997.6567985564,2154231.6757909236,10647.164150211775,-48613.228113276935
|
||||
5,2135878.3255382236,-3047065.8231792105,768313221.10374594,-2720532.6108266963,-1142146.7096663036,46616.10840449122,25900.780702840602
|
||||
5,2155908.6966380966,432033030.55674851,-630173266.60188508,-7532765.7440819098,919370.32349630888,689753.04068318359,-23482.514045799493
|
||||
5,2163851.6409292547,-339242527.02904052,-724216615.83259058,10387902.67141897,1011122.6309030496,-427318.56837138731,-21445.765954203933
|
||||
5,2171995.9205286475,-738430542.8439889,-341566950.69307816,18067395.562407993,463021.13635597914,-973950.75806142937,-6951.0682241655732
|
||||
5,2172248.0988236973,-580961764.47954011,-562496559.75238621,15297000.585456602,774517.57647153025,-760305.18807089573,-14828.537116441117
|
||||
5,2174855.2950005797,16736910.945616363,767962425.17135835,-3210806.662587997,-1140699.9522602332,76052.465718202322,25683.391146527705
|
||||
5,2198091.3403767394,-685452028.96469963,-435368079.00847256,17199836.471754167,594121.13446560851,-902809.55691585806,-10130.054922330324
|
||||
5,2206451.617668035,-804394777.22169411,-130494566.45087983,18738660.87720805,168810.18017305,-1063151.0185583043,150.15140717266868
|
||||
5,2207753.7489798958,285061224.10494488,-716168342.9091748,-3786062.3516559848,1037648.7889323725,470449.08606522146,-25304.028873773925
|
||||
5,2207875.7400087798,406339108.96991539,-647484050.28701413,-6794846.2734137252,944856.02588027203,653290.76807081827,-23883.380793344331
|
||||
5,2212051.1628840589,248915213.82872668,-731201712.11532259,-2908378.4565397929,1057904.7972681662,416861.41403807251,-25561.532725076453
|
||||
5,2223959.9364344976,-750233782.30960453,-315239945.72834736,18197036.822597411,425621.17672258813,-990602.35421217547,-5914.5481993652338
|
||||
5,2229904.4322534814,674344416.72418213,-324426840.29523939,-14051666.128683126,477497.02301179682,1071145.3293937673,-14858.233278236288
|
||||
5,2235420.0998771777,118978462.94445989,753968025.42836154,-5545141.9705997668,-1127315.5362248705,228895.99037758322,24669.772643992514
|
||||
5,2240621.5745898732,-710019384.35323632,379926481.2228232,14644895.432138838,-544028.13274631288,-944436.86945017392,15895.674923003984
|
||||
5,2240932.1351602222,-810666627.3182199,61468606.249013163,18129681.64752632,-96509.275877021093,-1074901.8017186774,6254.8583712603086
|
||||
5,2243632.109119867,564380375.0605886,487455023.7593739,-14625855.295836536,-750117.58322645118,906620.95141659048,13535.683345136869
|
||||
5,2251111.8840108467,319076297.09875643,-699780306.9242326,-4557594.5262283422,1015619.5942430289,521769.98383654369,-24955.973592289938
|
||||
5,2254853.136078815,-321520980.43478537,-731771162.53342485,10054213.205454556,1022257.3555024019,-401603.34238638123,-21594.194624575648
|
||||
5,2258494.7909046956,-793180480.13682616,-188067942.4013246,18657614.59179737,249211.95369271503,-1046897.4187670129,-1646.7396889165921
|
||||
5,2268238.6554903453,104649565.35543929,-772907942.32516539,592730.69644234097,1107526.4021670374,203243.79412089699,-25808.638443091422
|
||||
5,2269193.2636266379,741947858.11283934,17579697.20213934,-16835043.754111543,-38986.798697749531,1181458.4973462624,-3639.7805359017989
|
||||
5,2269466.8879292775,665156714.49150288,329567559.16794699,-16293485.497785656,-513726.12982995808,1064362.5351816225,7537.1814705930929
|
||||
5,2287760.5541462689,-276151942.60576856,731170709.16898525,3416327.659820172,-1068676.182047656,-347353.22425277147,25459.798236612856
|
||||
5,2288964.9040576192,-741988859.07650888,-334845780.68786681,18038434.666304182,452700.72926614358,-978087.99853645125,-6449.229297821189
|
||||
5,2291839.523325678,6650752.0829198807,767825249.32015693,-3110408.337593189,-1142147.8342031895,62017.00440185592,25535.151703805543
|
||||
5,2293064.7521002283,-809740633.44543624,-94952602.425346777,18637091.640094239,118735.05717691079,-1069468.3157075772,1445.5470224288838
|
||||
5,2297628.8028588234,-743257684.63461745,-334606411.48020327,18060664.075355511,451006.36519549147,-977128.09062922723,-6404.7228669891883
|
||||
5,2302385.5683018104,-441595909.90902531,-672164640.99954176,12565456.752101889,932288.13530485146,-567471.04829105712,-18835.808774679925
|
||||
5,2305986.5098443795,-814375451.43096936,-14394128.892201914,18427867.736655686,8404.9341985798237,-1077044.0912157907,3982.9805981491536
|
||||
5,2313999.1574641466,-516648820.920048,602663321.64874995,9304675.4469932672,-870450.51326585526,-682999.20656381128,22272.096410370475
|
||||
5,2325684.0196937127,708033412.11787009,216962347.91548991,-16803203.865218122,-343154.77185094071,1133831.9421844189,3305.0938369654909
|
||||
5,2327619.7010349352,-814187853.3452177,15840994.371353958,18285462.200133279,-33834.745080292356,-1076739.7487393997,4969.1841206079234
|
||||
5,2327728.0552795283,-809100478.87503994,-100582783.16584736,18625692.34531872,127482.52295230946,-1068364.1935171569,1301.3386051936536
|
||||
5,2331423.0743512763,-594063320.73162019,533213904.50715971,11292740.570157016,-766713.44209831418,-788610.80376481847,20352.468513548334
|
||||
5,2334348.0749315764,708979048.51447284,215483879.59157023,-16808648.927361492,-341117.3637279378,1133628.9118001279,3244.6253981217392
|
||||
5,2339380.1636606455,136266227.09643212,748648390.11027598,-6007318.4813273987,-1125189.7052970279,255946.80686510014,24331.358713335048
|
||||
5,2339599.4806024712,-113375741.72196691,764227275.9734813,-447258.25256182998,-1131207.6377415068,-112337.5249908409,25912.888818382558
|
||||
5,2345624.1771074785,-517783266.9723388,-619971842.03217041,14099341.052438948,854496.86654774845,-671002.82923200063,-16592.054525204618
|
||||
5,2348742.153723225,-587015927.23855531,540783816.74718881,11082377.471218126,-777718.2736791257,-777833.59076789219,20573.294093635825
|
||||
5,2351187.3427516278,663532027.8603363,-347931422.95215523,-13555227.214673333,512245.25393588393,1053522.0672377953,-15682.268646937458
|
||||
5,2359131.8720880845,6228785.1798617905,-785764392.4214884,2973192.9941578507,1115851.6789193435,62028.198247044202,-25348.335935457442
|
||||
5,2362474.2706970111,-792725404.84204733,-193857371.86491191,18600874.916395288,254466.61796599813,-1044333.7384978195,-1585.2754299658877
|
||||
5,2364440.5977529427,739360775.94924664,-60944235.487545736,-16391953.183173368,78972.304199014485,1180062.8419603605,-6458.2903589767247
|
||||
5,2368382.3174722637,579759210.02500558,-482653471.84013927,-11117153.694018152,709855.41876761219,922164.00656685093,-19633.024988508649
|
||||
5,2375583.6513581621,-754952042.36346221,-307153988.80570197,18193187.059686378,412974.02899907454,-994065.80784644186,-5321.2584967372986
|
||||
5,2385453.0990880718,355676940.42021853,-680826418.22369373,-5267174.4072548794,987092.32464276685,576788.03502899362,-24493.603253241658
|
||||
5,2390058.0502593592,588450618.44636512,-471347592.06673491,-11323880.590584906,692996.91675996862,935721.15593952488,-19330.073935132092
|
||||
5,2402562.5217212485,122687603.3345308,-770882210.90862012,365264.76259148616,1101297.1632284869,230353.00435568878,-25658.37023158478
|
||||
5,2411960.8065247755,711404230.47042608,-221904673.71853036,-15060752.57495896,322807.69077753619,1132448.7854832099,-11845.656183874011
|
||||
5,2413325.7482160358,-194794958.91916162,751962258.77436924,1313523.2518059732,-1107047.42883367,-229791.7484242091,25773.271324608981
|
||||
5,2419732.7801873079,-55275616.921830513,-786386752.58741701,4439742.536815661,1113746.8154410215,-26628.954528268165,-24872.133778118732
|
||||
5,2421173.2405077424,625132926.40299058,400609459.33871597,-15650318.908327432,-622882.38757850952,1004123.0738820842,9884.9459302137948
|
||||
5,2422185.4113829308,-398395912.06518865,678619600.7563653,6174554.3143809019,-987703.75467576832,-519667.68033052766,24267.396037707833
|
||||
5,2429724.3302172883,686397357.78019083,277766746.65614069,-16530870.503530204,-438414.97206334636,1100778.5619899055,5318.0813266251371
|
||||
5,2429925.9731603209,565770597.6914041,482476859.32042491,-14665698.832324143,-747551.43753481866,913288.93771810178,13013.702914537422
|
||||
5,2451545,598567592.11913395,439604704.97625065,-15226860.71770958,-683409.9670259892,963889.92093891476,11306.531424319433
|
||||
5,2460000.5,707285091.88147259,219379641.55929416,-16735519.963101966,-347920.30893545155,1132391.9556394636,3080.4903739767324
|
||||
5,2460147.1051810491,638280587.7672081,378227467.1978665,-15851495.862463322,-589113.08672378561,1025284.1826558058,8921.2423566974358
|
||||
5,2462309.3361005103,-722718422.47921133,-375812118.44555044,17732065.205692686,507834.478860726,-949849.46480934555,-7414.4947178978664
|
||||
5,2464763.7685172698,415943605.32182997,623620411.85288227,-11897395.029314464,-953326.83416788862,679731.77157706558,18502.766637834022
|
||||
5,2481036.9046858498,581102077.33173168,-481626696.79118037,-10962217.331434617,707474.01968037663,923433.52280144277,-19679.462638182289
|
||||
5,2483662.0114963688,-813150207.43436801,-55514230.435118787,18400670.965422906,63654.466876090977,-1074542.2006083275,3088.2225341708122
|
||||
5,2484229.0235512331,-552756949.65630651,-591097699.05605686,14831456.173572097,811719.16129432607,-719143.09721779765,-15115.41096591675
|
||||
5,2489511.5634945845,424452589.88423175,-636555076.84670353,-6789667.8067733459,925456.4571876491,678943.11324431328,-23532.267819068591
|
||||
5,2491570.5338518303,-454285964.13242137,645381932.14961183,7418117.5714086462,-938229.79378556542,-598336.54663324449,23476.462215050127
|
||||
5,2499752.2280493015,67499384.654955745,760818292.66868353,-4726864.6070285365,-1139400.9137625177,153570.40184965244,24768.745690158776
|
||||
5,2502188.1778422976,89447051.398887783,-776466399.37313783,1291561.3015315738,1108771.1892462706,182858.36416964346,-25507.78121103326
|
||||
5,2503793.0969782211,382881227.59184331,645709987.0738796,-11276709.64895311,-985108.28264633426,629759.37309670413,19307.807669651727
|
||||
5,2512514.4306263821,328579468.45517731,677291137.97040391,-10211495.533135932,-1030719.5146628773,545455.38064131222,20653.990487382031
|
||||
5,2512867.5055438899,-64093409.624407321,767135967.72498298,-1840164.4145437167,-1140156.3249423287,-41933.103587925005,25596.904793911566
|
||||
5,2515243.3510483974,153049414.65146872,-764065330.09827983,-155040.01202855937,1093246.7018421993,274140.15773373557,-25539.8203554053
|
||||
5,2516927.154422679,243456558.96270022,715726482.68074036,-8481440.4408121556,-1084168.2208279129,416759.34131895751,22382.386562865144
|
||||
5,2520088.6952209147,618012738.43663728,-429087511.23778689,-11935257.795130329,630065.72559244453,981962.75280717679,-18225.928071349183
|
||||
5,2523192.8059397186,-578484304.33188546,-567963363.41844463,15309436.418406211,777627.1842841811,-752846.26469253434,-14106.928295173046
|
||||
5,2528119.1030050176,17243389.14284984,-784834769.55036926,2972148.4186988235,1116096.9428466435,77768.885041193455,-25192.335636826032
|
||||
5,2528956.8314809357,714880855.94283831,-210896155.6748105,-15021264.145994512,306112.07677084551,1136863.0794013205,-11679.684688456447
|
||||
5,2529246.9921851079,729286639.31680286,128941444.58480257,-16795296.972595003,-210157.86302019423,1165751.4767194639,-303.64941851079908
|
||||
5,2530533.1307922672,-424746973.36445874,664178882.52476084,6620309.6401805002,-965120.73080815922,-556136.02889760258,23875.210618480076
|
||||
5,2571819.1351465164,411671025.38848764,-644374304.3471905,-6344498.3426672956,938523.09171153232,661950.34351528855,-23722.312881553928
|
||||
5,2582218.6518814121,-99571728.913283452,764992135.6070348,-1128605.2499173062,-1134881.9293316861,-92762.009734436477,25586.457761904458
|
||||
5,2591240.6544234846,-475409545.50134152,632539442.47280204,7779338.4628433455,-916915.87698833225,-625031.88553833496,23077.33780916714
|
||||
5,2593400.2533219298,332632110.66374487,-693299330.15055108,-4344422.1151093785,1004963.2633081481,542668.47258696705,-24670.317841553704
|
||||
5,2601771.6154178027,17365880.820692889,-785289893.32109106,3063854.517332322,1115375.2130001623,77722.951632075434,-25066.926412663892
|
||||
5,2606141.5071714013,56785386.425890349,-781772940.9459548,2178527.4325949196,1112093.2624244979,135927.23118280739,-25243.768069051985
|
||||
5,2609790.0129204965,-618252026.57212079,-527568740.96919191,16021027.614740131,718692.72745664534,-805433.06908243883,-12385.291447676731
|
||||
5,2610263.0888662059,-176280413.55726945,-774996798.68722451,7314605.091841965,1087120.9625433742,-196327.93353603245,-23228.193888943468
|
||||
5,2613936.763423834,-730543816.60989177,-362740896.58467627,17789487.53834483,488528.51372859697,-958131.29715913173,-6599.9703255166969
|
||||
5,2621051.1445405367,80787190.62584351,758931861.35119414,-5144421.7178302528,-1137499.4499902695,172824.71958250698,24425.943164820488
|
||||
5,2629110.775722194,642194211.68950272,368231536.1107645,-15851280.785320548,-577209.20293699927,1034914.4862909048,8193.6185530526527
|
||||
5,2650623.3883791873,710036075.90901434,205151024.26004052,-16625152.691843964,-329205.53920984018,1140248.5307863408,2187.7609083362368
|
||||
5,2653129.0835664799,-606619803.10172796,-540992034.19652665,15837124.518371025,736579.84002732835,-788994.76205011248,-12769.335979621812
|
||||
5,2657477.4609578112,-594516652.69662499,-553067768.80917501,15629807.372592513,755000.41306815704,-773022.43952417688,-13233.374601740557
|
||||
5,2661497.8709233468,-770473333.62588406,-270399118.08168209,18254129.570345312,359977.65220470325,-1012155.0437416092,-3420.5772831616296
|
||||
5,2663071.9105557292,626519520.29227233,-415548129.34749329,-11983706.230425311,610126.72723402327,995479.52108740434,-17957.768467158268
|
||||
5,2666157.4994829651,-581990181.32098532,-565032279.15309429,15403999.176299334,772437.10993300995,-757413.54851590877,-13673.223140128172
|
||||
5,2667111.4665725799,393034033.68136281,-657789995.97688997,-5732593.5780726643,955211.73388052185,633222.23394016782,-23959.506810529379
|
||||
5,2676519.3155034594,733581886.65943384,91590776.338880539,-16631018.169196581,-155622.0708091339,1176406.0663316152,-1871.8415413998528
|
||||
5,2690049.8256090512,419815072.99894708,619188891.13392591,-12078043.125303822,-950206.89743123029,687991.16031585936,17869.128335836711
|
||||
5,2690746.6324308612,-341011215.78751576,704986679.4588033,4337220.8543816917,-1032339.9369529076,-438476.38635030668,24788.443051106311
|
||||
5,2703412.4171453044,25808515.10442213,764415483.07903826,-4062827.9122811141,-1144340.8578327724,92951.081750250261,24841.660977056421
|
||||
5,2709958.7702327748,-119278451.81643446,-783494854.48634171,6216629.2449445063,1101931.0547403709,-116451.14222030441,-23787.215936577664
|
||||
5,2721325.9537258558,-574190359.3559649,551706956.60378349,10120827.660327446,-798598.50912683934,-760190.20835719688,21123.525581493228
|
||||
5,2730034.8583681118,-607482576.91068769,518060825.10246152,11004573.343179589,-748138.10024336795,-806014.7270927981,20219.76361422065
|
||||
5,2752501.1730946647,-762817619.5584234,-291532958.14116478,18166307.22808769,387937.53762905853,-1001752.0983276154,-3873.6856466580493
|
||||
5,2760651.9312156201,-769558273.78729165,250040270.32502735,15776308.846521176,-365936.46439305681,-1021023.2686807519,12852.794349239379
|
||||
5,2764220.4175721435,-144334024.00048193,758610199.17448461,-394889.01729886641,-1126541.8581994178,-156580.14931931393,25535.031252193465
|
||||
5,2778992.344652331,-420344926.71246386,-688231883.62691057,12511257.833449418,947444.84195938148,-535881.37083328154,-18306.642384160368
|
||||
6,2153095.596797646,-1203747239.0262923,686917034.87202489,33792899.201234274,-462408.49272337719,-722867.3535609761,31405.648650206163
|
||||
6,2156769.7502038977,-64821043.341551341,-1506569053.2694228,30604175.566465449,785767.56532732735,-32967.181818435791,-29829.055314946203
|
||||
6,2163152.4691946334,-786179733.72611785,1111142240.7761457,9818864.845538903,-729174.16344801942,-480686.17338471895,37229.196625612058
|
||||
6,2164564.9490184956,-1413689261.671587,119040372.1868912,52642740.830876179,-117397.75896854889,-828873.70932811464,20003.618802996898
|
||||
6,2168756.9533151798,846414734.35839832,-1230182975.3784938,-9977046.9354011435,639270.43519127392,475606.58068493957,-33643.684056628532
|
||||
6,2171194.9479112038,1259508693.7764909,573700210.1318754,-59564762.163532265,-395146.19349268067,761714.50141578133,1149.5738048301919
|
||||
6,2186677.354613733,-1396894220.4799426,-376296011.3798455,61324498.918336883,168533.84355629372,-803051.63409751246,8334.7776379577317
|
||||
6,2191705.7585542561,1412072027.1283298,-248963331.77827835,-50323323.45758155,94376.655611299764,825030.72852548503,-18943.280786352614
|
||||
6,2195400.8554627816,-762327564.84003043,1123594552.4184184,8885657.8700180743,-738786.44323200791,-466155.07096576178,37398.601910216508
|
||||
6,2198407.576837521,-1039739914.192189,-1063043832.5512978,60100484.759085186,548615.7063306187,-582272.75311481627,-10606.954968737904
|
||||
6,2210665.3857177175,23082645.080463223,-1512056110.0218432,26959777.986802187,785027.92881580268,12807.037094489791,-30872.720557235563
|
||||
6,2215121.887556266,741142634.22964728,1132501810.8604224,-49787747.258378558,-747009.13832542836,458364.67442187539,20684.76186701288
|
||||
6,2216388.9220632422,-333092969.52825683,1303746727.1547387,-11025069.726317706,-856492.88523405569,-204726.14867661658,37210.081417579335
|
||||
6,2217709.9421922415,-1231535067.108861,636400928.39602435,36341952.581007615,-432099.58446445927,-740162.13412829151,30488.433490492607
|
||||
6,2221685.5904193479,225484589.37111863,-1492440787.6740651,18633270.979589291,776015.88526753418,126755.85154991373,-32623.923111444914
|
||||
6,2258100.6093574455,796679348.84254026,1099087613.0225956,-51302319.638691805,-724774.97514513193,489646.07896828558,19434.259419195289
|
||||
6,2262367.3934228849,-1304655192.6196802,-656309430.64804506,63104751.460045651,325676.40296530433,-747244.24790950399,862.67032039504693
|
||||
6,2268580.4407982114,986704667.27850831,944127875.46571803,-55923191.74129077,-625555.2037875544,604386.55929378839,13549.604395128952
|
||||
6,2269643.816742592,156683420.1662074,1335519752.383008,-30475794.849056359,-878405.64954460459,99230.106748108185,32656.72476733091
|
||||
6,2280583.4791884967,7644110.7314632619,1343912616.2057099,-24763890.93671209,-882269.05818319053,3993.3378656656732,34569.228469165901
|
||||
6,2280648.8255675738,-49996856.913521439,1343004701.891099,-22484048.233897753,-881646.07186238945,-31776.791310736928,35198.2764355545
|
||||
6,2299395.2484001941,1425419961.6838064,-189616353.71512699,-52603851.842437632,61129.899851644579,826195.61197093897,-17370.605244753024
|
||||
6,2309105.9126805286,1113311320.5166156,-976076931.02142668,-26163732.073705003,500508.1951190012,626381.13297179178,-31055.31210823145
|
||||
6,2312881.3162881499,2259116.7643485288,1345218398.0554833,-24402413.956462704,-883464.44273563998,1764.3839459111625,34757.810257130965
|
||||
6,2314588.6081609842,-1232165036.0626714,631543964.441275,37097919.219468735,-427398.07608597376,-745813.80121797975,30301.450927095269
|
||||
6,2326374.4659422552,-1416046096.6098979,-194467987.33968818,59302292.282321684,65835.63787471049,-828941.66141394398,12333.892558467136
|
||||
6,2331842.3304965016,1426411885.8733833,-58289058.472499609,-55207670.699421965,-14466.746613215188,831297.00738228275,-14420.0886973705
|
||||
6,2354269.8012687992,1215514994.3597753,666644980.10255075,-59962469.505751424,-448126.07333988242,729172.22738635272,4634.4817734990111
|
||||
6,2354777.2401392735,933425803.16690981,998757056.25682712,-54767527.84207771,-656172.0625785907,568025.39878346492,15753.56321830283
|
||||
6,2359358.6707434491,-1255094247.0457361,-744159797.66047084,62863144.879211232,380214.37535925495,-720881.20380786504,-2101.718884946773
|
||||
6,2365526.3319133134,941110362.3298949,997022442.0261122,-54953017.133391656,-654127.4166177247,570405.95520926802,15649.686590814428
|
||||
6,2368738.708181411,-1346143453.0804148,374178312.1136331,46525577.768467747,-268734.55986372521,-805634.72767803434,25005.96412884444
|
||||
6,2377285.103205495,152472112.38087943,1339296804.9798594,-29889590.062830411,-875527.49397995451,93398.226375424885,32980.30734841169
|
||||
6,2378775.866992339,-1031977753.0711585,901953819.49031854,24742336.78171793,-596192.89883599104,-630881.0309394733,34803.238991734244
|
||||
6,2383106.0398752089,230496333.04700735,-1486754985.9843125,17309111.699934788,777791.77926918701,124305.63604457231,-32993.539711863326
|
||||
6,2388096.6243061726,104347009.89422905,1345767613.6187496,-27997057.59763217,-877939.30898048042,61759.510408713657,33627.561789048916
|
||||
6,2397451.0479451967,1145134132.059675,772694259.79711413,-59058031.899002969,-512322.00996276166,689048.92893192731,8079.9871573723221
|
||||
6,2401760.9760931241,-1410606869.1646435,-245300237.99068567,60183560.637302272,99063.452263581683,-825498.28036825662,10664.514826125511
|
||||
6,2407865.0991555988,1294964627.2631731,528173504.57139939,-60604965.326928981,-360058.813123097,771364.57557553577,660.69218642475664
|
||||
6,2424290.9945253641,-1083342572.3393917,-997470451.76663589,60480019.51121103,521459.14479307533,-616601.23862751317,-9847.4839147164494
|
||||
6,2427847.4440433807,1284555248.7480779,-700458833.55462515,-38697275.97632613,354567.05943330971,730348.55724948598,-26880.098094013632
|
||||
6,2429017.1947419792,1392248519.9170799,242125296.61747521,-59486914.184985429,-187261.84679954452,821166.15381588554,-6951.6544961250702
|
||||
6,2441500.4894659799,428799272.06291199,1282922545.0084364,-39494900.963560656,-835811.45536771696,263033.44653570926,28632.765220244466
|
||||
6,2443575.6368564777,-1172509796.4529352,728463872.43313539,33856508.413460538,-486498.570622114,-711380.83355771436,31758.899952841803
|
||||
6,2443741.7963145529,-1247130098.5308807,606678911.4115473,38949054.958243109,-411070.08592544153,-753115.81509354291,29490.163899996438
|
||||
6,2450947.4282442005,1269471559.7801776,577064658.45271707,-60518443.347338036,-389471.5119082501,759356.80427404644,2270.2094788075419
|
||||
6,2451545,958385161.21699953,982856392.47044671,-55213049.947278298,-642126.68947768735,581982.97617267922,15400.776513127179
|
||||
6,2455750.3823234607,-1379220109.2632594,-417129904.04515815,62162508.219213851,196218.33331282574,-799831.37620670581,6110.0753938503049
|
||||
6,2460000.5,1241392071.8150659,-785165977.84912229,-35750776.639076516,399544.40889694192,704825.60018134501,-28155.498162180695
|
||||
6,2462180.5191103588,1034029043.0182313,905044046.07903564,-56919557.489846423,-594517.76099790563,625745.86487178796,12780.06903594122
|
||||
6,2463091.8106102357,359071297.92064291,1302879870.4382412,-36958360.029413886,-848788.42107992317,220267.85697060256,29985.00944051359
|
||||
6,2473550.7291022469,597569281.93448329,1220673396.6913621,-44923548.689934388,-794630.32519100257,366186.59788818972,25333.005114485997
|
||||
6,2476084.6127119409,-1280053265.6345553,542475065.90706825,41661517.720502041,-369696.6179660359,-770255.13387186767,28082.646050688374
|
||||
6,2496525.487828257,-645510194.10129893,1193958951.4126565,5259625.5179881305,-779381.99909194,-399840.93185331702,38010.970865271622
|
||||
6,2497472.9586579432,-1231850546.9659381,633764577.37501454,38325310.261909112,-426211.20876671234,-744507.90896399808,29849.167899226049
|
||||
6,2497845.5785390702,-1357920793.900563,342632911.5967344,48376507.002107844,-248610.41361077389,-811080.00306509587,23904.165178845167
|
||||
6,2501180.5070854784,39899381.524902061,-1505754589.0404618,24274237.57591445,788506.33676043758,18902.850113084558,-31850.551249350621
|
||||
6,2508238.9229684048,-1232839585.2119586,630563043.10402286,38468427.946740016,-426005.17273352935,-745320.61952374852,29820.994701753356
|
||||
6,2510158.3015905884,-1170631565.4441535,-886845552.26026714,62005046.495351665,458812.79919784318,-667830.77826552652,-6900.3072663529501
|
||||
6,2512007.4812351018,96096680.840757787,-1501147998.6721892,21876187.621841636,787079.22733817343,52047.531940687753,-32376.917271875162
|
||||
6,2512368.9245871082,376859887.97386205,-1454012300.6315851,9835024.3125885595,761573.093213349,208013.84810987097,-34040.94469562007
|
||||
6,2524255.5583894355,1116699305.5472026,-973172252.7445631,-28092151.066206206,502056.81377351761,627416.59872232203,-30820.760083429897
|
||||
6,2526982.6265895991,863492407.41408217,1058093732.5536525,-52682809.250453368,-692092.63483256206,525236.48572445638,18736.660451451819
|
||||
6,2530634.8987397524,-1420474327.9409537,-84016908.926919684,58337618.061748378,2820.2709328641749,-836560.98716668435,14153.803683702934
|
||||
6,2535685.4570525601,1365665118.5019059,-490927468.71873689,-46416110.63472642,235634.93588419174,783038.69700422091,-22797.965870992233
|
||||
6,2549513.462057454,41832331.900920369,1347235038.3603518,-24587957.7877369,-878965.25315378723,23451.137370480668,34896.160748980255
|
||||
6,2549789.9413206,-200564566.66928306,1332954027.1204967,-14610644.25449877,-869997.03973727045,-126507.06885479437,37091.828662328422
|
||||
6,2549898.8782727919,-294783486.82484365,1315994589.1152182,-10538115.616685476,-859104.22347787116,-184723.09902331734,37646.61041379776
|
||||
6,2550477.7630432276,-761516268.86840534,1123986145.5723624,11473671.660877442,-735876.16683071514,-470320.94824507355,37553.081084076563
|
||||
6,2559684.4549945649,541075167.5087899,1243172360.1729083,-42792302.614604063,-811310.47175007174,332772.18146243249,26968.658547319701
|
||||
6,2568522.333576519,1431181335.3177528,-41388635.613993205,-56829936.532559551,-23866.336190267193,831599.56149606081,-13103.926391684743
|
||||
6,2576364.8290499886,-56817517.446717426,-1505545687.8130903,27689896.851376373,788090.98308960535,-34192.50156408242,-31124.394215130458
|
||||
6,2580346.2306431774,1131440581.7716227,792638487.00149775,-58917865.085237719,-524527.61019377015,681459.52453720488,9648.2157252397137
|
||||
6,2581013.5017562695,696357529.23196185,1168307603.2135322,-47722515.919187665,-762861.25070891203,426234.72328156227,23540.556240733884
|
||||
6,2583134.6942699528,-1016366389.7430738,916859070.64302683,25470374.430108186,-604298.93335450662,-624750.95888597239,34856.870192980234
|
||||
6,2583940.7128133583,-1360939268.8598306,322788248.76444793,49356613.229837477,-237402.89972605216,-816940.59108152462,23334.837753671589
|
||||
6,2586887.0820796345,-239656017.90462783,-1485145452.9600019,34673882.706960522,776232.81189820915,-138012.50413108201,-28963.694419094281
|
||||
6,2595979.8071701182,-1271858186.6728747,-707474931.21860445,63118284.65697483,359068.11616080161,-734958.29909658805,-2124.9921013652111
|
||||
6,2613918.92432243,194370939.50631475,1336500939.0743716,-30218100.983674325,-870867.76173920115,115375.09907421912,33199.415269100267
|
||||
6,2629635.4980433788,-466722603.97197139,-1422676441.0099819,42585972.082581691,745794.19567621697,-266196.58103799139,-25701.952400412865
|
||||
6,2630204.5888735987,-26974909.172907945,-1505045697.0318141,26184028.302195497,787440.10269531899,-21580.295245714962,-31472.93831735614
|
||||
6,2643865.4975548293,1432010239.0814011,-36770484.871774539,-57312479.47353708,-24875.867482319398,828172.79227508686,-12771.696418628713
|
||||
6,2649135.4012429519,-1410470097.4208636,-184705310.74525574,60088174.313514672,64811.247220986595,-834202.40870072134,11226.682454064168
|
||||
6,2650218.6509336894,-1078259905.488157,-996051071.70121539,60131565.448876128,521166.70863266301,-618961.75660623342,-10792.398177633548
|
||||
6,2650889.8206543275,-662883576.9327029,-1333743860.402719,48939603.464684971,701098.21500310593,-377650.03347345296,-22094.227278897837
|
||||
6,2657560.2208607197,-314745535.25810301,1313483185.7465882,-9013059.6022811085,-855150.22647889564,-200402.80286584201,37914.754948831673
|
||||
6,2668984.2928403942,-838861009.74289894,1071580126.3993827,16268167.995128743,-702386.92431562033,-520130.64360065508,37020.133703431711
|
||||
6,2689539.6668375419,-46591376.37357606,1350333119.000191,-20275165.504031185,-878444.81527654279,-33519.704997402718,36169.409623894826
|
||||
6,2696946.3337543304,1332106899.2272415,-612621023.20539844,-43974188.382624827,305612.48410622496,751489.55253056309,-24672.737575304523
|
||||
6,2702532.9992113304,-1391909454.4208841,171958179.38884968,53652819.889443219,-144907.14628620219,-833701.8589925844,19501.479703852168
|
||||
6,2706024.9523731228,351339027.73043567,-1461997089.0367184,9607362.5915547516,768070.92831089243,188810.74083501942,-34227.554300045544
|
||||
6,2706300.7134307083,558435041.84884775,-1393827265.2905889,96795.967067088233,731099.96886837436,304746.9921630079,-34620.174372566042
|
||||
6,2708198.337747226,1426754830.2422051,-227455355.41273785,-54183419.535515741,86571.906908593519,817363.20622134837,-16879.25281171238
|
||||
6,2712217.1621662453,-961625672.42610741,970260601.6423924,23198130.149558336,-636947.91939768963,-593759.65112791723,35518.650859726957
|
||||
6,2718674.3687459351,1386198250.1801705,-449661271.80112284,-48949988.335004829,215136.62324898198,787345.66484408733,-21510.095849228277
|
||||
6,2723910.4933589306,-1366615335.5571339,290124186.1276477,50797832.803687409,-215018.30462817725,-821622.23996358481,22074.506986116106
|
||||
6,2725612.9946367131,-1048202197.1666353,-1026811992.210546,59209587.547230877,540452.91728543467,-603451.3884131714,-12184.344562170136
|
||||
6,2732233.962060546,255041045.16739786,1331517577.273428,-31935424.624772493,-861733.41812712885,151641.84664175825,32577.775291062579
|
||||
6,2740025.2755707847,1344172271.3862197,-575536631.59140873,-45342709.317857601,286449.52533652802,760670.79495500948,-23901.54593992373
|
||||
6,2746241.5491961665,-1378154516.4799964,-387060727.84096515,62284689.033006981,183021.18604194414,-808779.54931182682,5571.3021926748652
|
||||
6,2749768.9846151434,858290173.63320577,-1221744851.5002198,-15244828.083292285,639930.0366926553,474676.99822430313,-33650.976629718738
|
||||
6,2752218.9950055759,1277707705.3697524,575666505.68686652,-61250552.393238865,-385320.11253661278,754082.51874902425,3528.0996937375266
|
||||
6,2753398.1626860881,547185399.67222595,1247491189.9309859,-42335485.383096851,-805623.84951995057,329500.82092722878,27494.379190834636
|
||||
6,2758938.1342819137,-333124302.45079029,-1455220228.4786191,36878775.794413336,771151.78926528769,-192231.65124702701,-28292.461038585381
|
||||
6,2767518.8769102735,-1408600726.6970999,-194061124.88696125,60481332.580539972,72040.616128346155,-831478.03106796998,10359.794552789672
|
||||
7,2123752.9964102167,1304033684.6531353,2593298613.6699266,-6954590.608528248,-530262.177288746,237291.41964236708,7948.2094000632414
|
||||
7,2129601.4901124639,-1917253176.6484458,1991251426.3652234,33180048.864111289,-427627.3689077454,-433966.60448942066,3925.1871918234142
|
||||
7,2135602.944141617,-2385189438.3380289,-1407815735.1785789,25957085.021450669,293735.90175606392,-532455.68490686105,-5974.3958656022287
|
||||
7,2142038.5267265309,875464295.43255281,-2792841759.7649908,-22519198.817663778,557407.42464774684,149098.79649026343,-6764.4961078020106
|
||||
7,2156908.4085306437,-101893169.30784424,2836392280.5936632,12463778.353793753,-593033.00638997229,-46727.891331720086,7633.0208768585417
|
||||
7,2161585.495555277,-2385738134.4302516,1362427166.9177666,36791606.876747236,-297511.66685589129,-536910.39284806815,1829.9277321417014
|
||||
7,2167151.4259267887,-2094822512.3101509,-1837788347.4808254,20469401.434682872,383442.19792175718,-469676.9052723943,-6881.7270575892107
|
||||
7,2172308.1785284574,638456423.84863579,-2845862477.6811023,-19512250.392579034,570072.2541491224,101875.35349751347,-7116.1975914477916
|
||||
7,2189087.7788742054,-961873596.1134094,2631353004.3685188,22917656.68692692,-556818.95278790989,-229425.10724604133,6443.9707140436776
|
||||
7,2211767.1053202171,2840488095.301826,922269020.67509031,-33767571.880891144,-185090.89744797902,533096.34021665761,4475.0630174730977
|
||||
7,2212542.907768805,2665407785.2846737,1324404114.0118914,-29928406.568681587,-265765.62056705076,501505.07874338329,5410.7627069506198
|
||||
7,2217631.4018468317,295895359.97009438,2842463796.0142832,7068740.8898912361,-590535.45345268119,34907.420246064459,7900.0450095977731
|
||||
7,2219638.9496332784,-880174905.56362665,2663408952.6440396,21854572.943016581,-562687.16830160352,-212171.44213196653,6576.9339355486181
|
||||
7,2220996.3820065907,-1596031214.1239753,2269845203.7797966,29727108.080237351,-484810.71711724892,-364283.77861296001,4944.8205567722125
|
||||
7,2221913.6571227377,-2007205730.2729559,1893738451.4170182,33663719.496074498,-408590.57032985077,-453687.36680700182,3608.7901622020886
|
||||
7,2238417.8020082596,2706978716.3887062,-1286560716.7039981,-40458367.134072028,248576.77987138572,505704.35087561602,-1318.8916347982013
|
||||
7,2243279.7227006438,2652698732.6898613,1346790918.3536904,-29613311.770875901,-270841.72413232172,499283.31420980702,5458.291094290973
|
||||
7,2247089.7512494391,1006326457.2678468,2709536634.8448992,-2797107.6612751517,-555532.39779060881,179271.49381540978,7961.265639783267
|
||||
7,2247313.1478887163,881194176.62195528,2746810447.8368464,-1015451.2131130875,-564568.82285161584,154309.56190103356,7986.2763914664147
|
||||
7,2248429.5026217187,232634192.39097261,2846038729.5553975,7871831.9168469412,-592137.82129369315,21559.813486895397,7859.5599097961567
|
||||
7,2250720.8750142092,-1096305547.096034,2572057171.9627018,24267383.533944961,-544717.14531884273,-257491.94522954241,6146.0381118632995
|
||||
7,2274430.6049504504,2517467642.5212584,1568959951.8000741,-26916996.702709649,-316635.49895506533,472945.83383472811,5961.3534403418762
|
||||
7,2280325.246383612,-479608544.63736033,2780705596.6330676,16928495.141716871,-584232.52660961077,-127337.6513957391,7161.4851403726752
|
||||
7,2280862.8416789966,-789786589.63681471,2694698672.7532654,20657924.105937283,-568498.85032793274,-192384.55310894913,6697.8235074213953
|
||||
7,2290550.3893450941,-1834196547.0416439,-2113359991.3479664,15878093.792625694,439846.19941850955,-411246.56270069559,-7335.1263493771912
|
||||
7,2298880.2865547244,2438309198.4195719,-1730372997.1735811,-38504371.770080678,336690.66444167576,454182.29346878472,-2682.1413724744662
|
||||
7,2319153.8051088182,-2540009903.9366708,-1077312504.8439972,29102179.161735859,225355.56795099331,-569371.5780990026,-5120.385617266641
|
||||
7,2324341.5736736408,-186294210.312417,-2874346421.4798717,-8516303.6432754286,583211.44457365584,-65001.660104499577,-7866.3428601796486
|
||||
7,2327779.2422686238,1704772461.6468301,-2422442199.1548901,-31471436.888789922,476680.23359993199,310855.00012419821,-5035.2434347675317
|
||||
7,2334750.7407710408,2798438733.2286358,1037546489.7732853,-32603884.69422856,-210373.56229394369,525539.09295933612,4757.2885837363528
|
||||
7,2336069.3736898471,2433163740.1442642,1687955686.5547395,-25334746.97717008,-340532.44161933759,455531.68279205723,6198.2171701972011
|
||||
7,2337165.9984414973,2007411631.5488338,2144868244.5744791,-18026984.165078383,-433462.46340693132,374566.4948088068,7082.755726454533
|
||||
7,2346227.2659458071,-2514867677.5414572,1087965408.5801036,36972281.720273823,-237791.41172706604,-566950.89392242557,943.94561767485868
|
||||
7,2346695.0639148173,-2612696466.3429513,817620394.03340411,37218786.600110747,-180133.95978061593,-587878.73350679176,109.82208162021365
|
||||
7,2353451.5425158404,-1075961279.4935389,-2624855773.7109704,4098464.719300421,539405.61810156552,-250962.37295803981,-7985.2593693810086
|
||||
7,2361466.0255018398,2777239178.2744126,-1138519544.4478199,-40547281.341504805,217718.1073797752,516966.26542374562,-878.03051749751342
|
||||
7,2364521.9667794039,2947687810.1394696,542856849.68384957,-36432207.094728209,-111478.47506707945,552916.20733367628,3534.4401021444878
|
||||
7,2368604.1468135021,1663086979.1755157,2402447747.7740254,-12625814.105945792,-488391.1626124066,308592.34800241422,7533.0764021973355
|
||||
7,2377820.2014073245,-2677971396.8671474,559229401.92117834,37030133.39517615,-125749.94426094256,-602388.71306592529,-627.36763628620076
|
||||
7,2383897.9090333795,-1204068312.7790678,-2561091352.0120873,6091408.8076089723,528010.34804893611,-278387.46678640682,-7924.7103980797201
|
||||
7,2394572.805921434,2997591323.4103618,188051867.11141554,-38326053.320266739,-40929.419601316004,561082.31838302093,2619.171658003529
|
||||
7,2403777.6541885016,-871878355.48796964,2663651888.4705687,21318793.868200276,-564092.8789014928,-209700.60745059073,6547.2423346539299
|
||||
7,2407127.0130708609,-2382455744.973444,1356296347.151974,36066915.631135896,-294789.84710810945,-538098.00666397798,1802.9840667537917
|
||||
7,2408672.655375001,-2695009929.5206738,463441051.05521363,36780838.525422856,-105345.77890518453,-607082.57308773173,-891.33052646569411
|
||||
7,2411841.1743798465,-2372479920.8069749,-1419335693.3474083,25566568.60676283,297813.64726920787,-531817.11316324677,-5869.6289713039714
|
||||
7,2425431.0701996032,2988411297.4692359,285976439.38754141,-37758501.321103424,-60792.05507868516,559360.24855199538,2866.3065541270571
|
||||
7,2427227.1492210347,2704839993.1581182,1252079745.890949,-30471610.562078122,-251519.93130594306,505777.31600377354,5153.8142127006877
|
||||
7,2427663.1035686666,2585803610.4032936,1467875442.5326858,-28121901.745816957,-294325.27854595508,483656.5972033072,5621.1640980938646
|
||||
7,2451545,2158974972.9957857,-2054625493.7976489,-35625467.419651441,400638.89416265185,399829.58211625228,-3705.8464605771378
|
||||
7,2451991.1767595215,2329370092.51618,-1868946277.8452768,-37140875.799696341,362801.11343936401,431862.94271435944,-3085.2649249215815
|
||||
7,2457928.8481083005,2701026323.815814,1259498650.5763497,-30295813.786817528,-252405.66011601122,504880.22919112485,5142.6389601137571
|
||||
7,2460000.5,1975976118.196568,2178684776.5442328,-17522032.07335148,-440521.30934478127,369047.5614090903,7064.6051323656184
|
||||
7,2461642.2032818804,1160316365.1829686,2657086756.1267967,-5175748.3660739819,-544087.63756101613,207408.0009218044,7827.4224337957421
|
||||
7,2469212.1355062453,-2562578001.3936043,960773850.00272536,36739334.223915502,-211667.08152519949,-578112.79545756185,593.88661063286736
|
||||
7,2471020.3579086461,-2734180961.567204,-133976134.52274925,34902124.951670937,24949.360920849886,-615995.67727075762,-2612.9770597004322
|
||||
7,2471162.4136285987,-2729291610.405129,-221394272.74140486,34513625.536880814,43869.54438280192,-614642.56585506455,-2855.7926008855661
|
||||
7,2476322.0480778301,-1007331795.6910628,-2652392522.6016283,3218416.8851324464,546766.48459358024,-236338.64262263908,-7959.2672149002592
|
||||
7,2496316.7715420248,-1140897161.7116141,2549265952.3042245,24195930.193111073,-542147.02700040734,-268857.47185074067,6033.6841707169897
|
||||
7,2501910.0519690546,-2725853136.0530233,-263735993.83427411,34287425.677070476,53255.240994057312,-613508.02556300571,-2975.0257565343004
|
||||
7,2516822.5260877223,3004955337.3846631,-82111190.343652964,-39150410.211939774,10733.369402031909,561307.93892524671,1946.5809099831836
|
||||
7,2516885.1612680587,3005410308.2589273,-46952145.75664679,-39025601.37347766,3798.0477063502117,561340.03801267676,2037.8585993316924
|
||||
7,2518917.4442586238,2789405002.010747,1066271099.1028513,-32085307.069817081,-213767.17267812579,521194.22659402882,4695.1299422606044
|
||||
7,2523821.7176947175,705075098.85730183,2787679546.2059236,1197285.6608292446,-573691.42342569889,116718.327474067,7823.9432984885761
|
||||
7,2527704.2701129932,-1506107365.8470244,2331291616.5963264,28068792.147791076,-498084.38061037555,-347507.4005586761,5151.4288031486594
|
||||
7,2528459.3003781531,-1860444558.1873529,2039517450.0805573,31565557.000976373,-438442.87130809849,-423836.95001437597,4091.3950601786119
|
||||
7,2535592.6118662572,-2013305584.2130368,-1921683987.1071436,18928537.440666545,402046.53970370523,-454417.62098564132,-6867.3791823017827
|
||||
7,2537157.4554273579,-1283702827.9870403,-2512838722.0813665,7312467.9623140022,520433.56609831931,-294923.82713367906,-7823.5234587633458
|
||||
7,2537242.6139001837,-1239183467.5531046,-2537545516.7554331,6645146.8537953114,525084.29979031661,-285313.60825023189,-7847.9788776918558
|
||||
7,2544116.8007905711,2360203499.4332695,-1833389715.8270626,-37224152.211204596,356633.66400097287,435989.35671069584,-2995.9018965878104
|
||||
7,2551952.4632479637,2016542311.7245703,2144636722.7196538,-18159006.382351879,-434047.2868995571,374995.35888716625,7001.2273362058677
|
||||
7,2563080.5686167339,-2731337694.6071749,-146348593.52416089,34750179.044978678,28036.646138703967,-615315.25548347388,-2626.9593725580698
|
||||
7,2563862.7203613077,-2669510818.6834154,-622772237.27642143,32199105.115049966,129422.21349364557,-600150.44442421617,-3875.0196923042786
|
||||
7,2566295.6187331146,-2002877602.7264283,-1933027725.0251281,18807271.539303344,405134.85090060084,-452318.302192709,-6887.9610965429838
|
||||
7,2576996.323614941,2917469555.0384703,-737891623.97235847,-40344333.688212708,140166.23186091785,543588.63272523589,165.80514479072531
|
||||
7,2588485.8000464565,-1199707541.6303411,2516689107.9321861,24647840.95437124,-534125.50523415185,-281662.49975744245,5847.2570751220783
|
||||
7,2592020.8963747104,-2576283165.2132483,915871822.21069849,36557120.5601594,-201218.49254356287,-583799.95739481924,480.14947696218462
|
||||
7,2592740.2669495451,-2687795588.2059579,486275278.14963639,36435992.020148814,-108174.67191673147,-607927.54596658598,-816.56101643057514
|
||||
7,2608301.3093838352,2983798690.4026723,-391616301.12201869,-39847039.480596714,72010.87273414644,554996.72926158377,1088.8740769823185
|
||||
7,2615980.9149100613,643433029.73005915,2804448217.1912107,1842500.8899799157,-577863.76354933681,104105.24055114368,7817.4169548466152
|
||||
7,2623166.9559104536,-2654966807.2685618,642591367.44031656,36487944.010080241,-141403.08324388257,-600444.72376997478,-355.15909920179968
|
||||
7,2626008.4031339227,-2530425165.6444745,-1074852187.091939,28693151.710297424,225565.47449225374,-570837.75909725181,-4942.0433104575804
|
||||
7,2626064.8631824339,-2517496338.5796404,-1107000846.628638,28411932.812075932,232413.82583244093,-567962.88407198433,-5019.7363217602433
|
||||
7,2643159.9042026065,2352426169.8079042,1807810800.1526945,-23737146.801840499,-362738.52056371904,438189.35618621658,6242.5819770849812
|
||||
7,2658020.1918030609,-2128900276.8162658,-1774926738.9912143,20968879.452178445,374376.72605971794,-480568.55321828194,-6529.9812218404331
|
||||
7,2666694.9985832777,2312195181.5991793,-1888603127.1376443,-36429717.882456936,369824.30427304545,427859.64637348911,-3217.8431173865029
|
||||
7,2669930.78636077,2997976641.9253211,-238356760.73967221,-39287831.847678214,43279.887540512696,557254.4462825571,1457.2475549246146
|
||||
7,2670398.0161253926,3006421175.6188583,22644351.58628102,-38455764.392383493,-7197.9092632112552,559282.56095002976,2102.4267520206845
|
||||
7,2674723.0943870451,1996996228.7258713,2166475843.5694656,-17843975.815262552,-435265.26002068137,370046.5935242449,6899.5359662366945
|
||||
7,2677087.1458455822,788562999.32053924,2777232120.7463861,-190062.23669976526,-570511.10359394632,133339.08413901157,7796.6504303983957
|
||||
7,2677605.595018568,488870082.2600615,2830545942.3587689,3848170.014400417,-584456.53167206445,71966.579034005656,7764.5260110440531
|
||||
7,2682169.5641611684,-1985301304.3537178,1915368313.5218735,32313524.023803994,-412737.49364634848,-452518.83122974163,3683.7121304963166
|
||||
7,2684642.9758196757,-2669886719.588593,576992186.58694637,36287087.101385549,-126888.55836225791,-602522.35668444273,-551.83605289175466
|
||||
7,2690777.7062257593,-1171105799.6934674,-2566804785.1958246,5827870.7556228945,531117.3668880678,-272903.82225032785,-7760.4401813603108
|
||||
7,2694209.0968220974,791830923.17126167,-2807658039.6673355,-20182749.215498991,562708.53934006603,132298.90413478023,-6740.4180007235373
|
||||
7,2701612.0685886201,2987069042.9029107,323230093.3620432,-37102314.572530687,-65674.453739233519,557232.34127126401,2828.0864674678628
|
||||
7,2707609.1820222782,876838530.16801202,2755561514.5782967,-1415584.7631790871,-564919.96316233871,150776.74236491509,7772.3288620552557
|
||||
7,2707832.8173061651,749638806.05997062,2786395048.0107284,323770.42207031389,-572455.1487389541,124916.68189085068,7780.3934628512752
|
||||
7,2711313.3298151349,-1254592945.4653137,2492930783.209816,24939558.870130211,-529309.24241634423,-291871.95237184723,5737.2742408925751
|
||||
7,2716841.5512455804,-2712811631.0118051,-352379513.41999173,33482827.160042789,72050.582164947176,-612388.1743507107,-3098.62314642709
|
||||
7,2721019.0382322818,-1398061259.0605884,-2435854122.6069064,9209988.6004023962,506177.3371037108,-321278.65735124244,-7607.9678822738215
|
||||
7,2723917.0772977131,233975905.43999901,-2880480955.612865,-13245138.020056725,583798.23177695728,20309.033215176216,-7406.2443562518383
|
||||
7,2727304.1327555794,2013554247.2416248,-2186232313.4622893,-33543339.6100876,431031.11702598655,370576.16451992199,-4213.7275078520024
|
||||
7,2733977.275089256,2721015462.0913992,1232538773.0386503,-30452407.715287559,-246924.44852230209,507574.66597782524,4984.8198783699181
|
||||
7,2735373.5716039599,2282765814.3800907,1887075433.1084538,-22494769.628926724,-377368.13585678389,424434.16136299074,6342.8350897404334
|
||||
7,2739571.2578420853,128912214.98517081,2851084085.5707502,8480048.7306234278,-590484.07656358054,-2304.1288923002535,7545.2552104993565
|
||||
7,2740730.9237641245,-552506554.8284682,2766902941.5736556,16887936.917616736,-579335.0913311668,-142827.98618221935,6889.7200672402441
|
||||
7,2749707.923809248,-2250465024.3545628,-1603912991.2493327,23125930.549562208,339111.53424880054,-506684.26865942782,-6154.6662129889601
|
||||
7,2751570.2696092292,-1459423668.3983612,-2396060390.368618,10187022.852795556,498754.33788798098,-334797.00422693277,-7559.5264913567407
|
||||
7,2762129.2466176376,3006030094.1533132,-142965815.27043498,-38979387.03481888,25955.057012559024,559991.97731548257,1630.3676657162646
|
||||
7,2780165.3175607352,-2323975125.3872609,-1486302870.3606186,24519461.023241762,314899.06875418633,-523249.2817710918,-5872.782801934798
|
||||
8,2130611.7016490297,-4501540203.5771122,-443489012.57004988,112617458.92056714,42854.5993893505,-463697.97932093649,8585.1502043687888
|
||||
8,2136332.2958398149,-3505296921.1048303,-2874841421.8223963,139779303.58255643,294202.01346768625,-360993.7713388917,655.45853563804337
|
||||
8,2140471.5518224426,-2006947264.6863983,-4063324320.8800988,129806911.56107756,416809.21503997443,-205713.99501988196,-5349.4941893312389
|
||||
8,2145115.3321211985,86566143.243716568,-4523773551.5109415,91154055.506232172,465939.23373329954,10648.658363248644,-10948.117334711635
|
||||
8,2153646.7729220241,3532686672.7047868,-2777533912.1750193,-24024670.221748535,286188.15998428239,370923.58820915926,-14226.849944674652
|
||||
8,2157495.174805752,4326019475.9988756,-1163275448.4768138,-75508923.05807735,117900.34334290633,456300.20784389874,-12107.292268177567
|
||||
8,2170420.9640699443,1995775696.7587075,3988062798.9405541,-127999203.2187288,-423968.4257163583,213390.2622574163,5359.6944518045275
|
||||
8,2174035.9458027477,360007605.02300864,4451652010.1988945,-99927331.257845193,-471498.88537377486,41583.487048723255,10007.057599486005
|
||||
8,2175239.5876699132,-209492535.11417452,4464856928.0911207,-87093801.326988876,-472982.40728821425,-19804.664462395966,11276.131466075096
|
||||
8,2175246.8741424042,-212938891.06625557,4464711216.3899841,-87011609.99914524,-472960.10601217032,-20173.306968446588,11283.145447883457
|
||||
8,2178660.138940698,-1774669307.2422128,4114073188.3506284,-43889438.822904788,-434614.32209375419,-182344.1566781381,13759.651523810579
|
||||
8,2194252.4274197817,-4068683476.8971391,-1994767546.4143205,134620562.90813029,204581.41714176995,-419322.3645013803,3927.9615822723795
|
||||
8,2197808.6561900261,-3090212675.2035842,-3319085946.2252517,139400306.67769587,341046.60114671756,-318624.42040959175,-1301.8136362690088
|
||||
8,2201394.8133116486,-1686056327.5810757,-4206531796.5879507,125378451.50516035,432251.47388775053,-172706.20628791474,-6399.934501251978
|
||||
8,2201942.3103989689,-1446660582.8094435,-4294427807.9854321,121672650.24910858,442055.69073657988,-148200.87184365699,-7134.7095732348389
|
||||
8,2237946.8255581148,-1384645337.1625447,4258295404.1862941,-55826545.137284808,-448641.44936141674,-142163.19206834881,13256.185338451183
|
||||
8,2246471.6720608342,-4212482925.3573151,1611349610.8030472,63717106.04194928,-169600.83936108617,-435637.91310341691,12873.877212551193
|
||||
8,2253228.9021657621,-4281573370.5489497,-1478525561.9585075,128949042.50678825,149787.00083083805,-441775.5553788481,5636.5390715918438
|
||||
8,2253549.8865589462,-4231099922.3237362,-1619543929.1229346,130686158.91181399,164680.21525501218,-436781.76223641727,5185.5968659797381
|
||||
8,2255600.6175926179,-3799217249.9417281,-2471475421.036231,138267734.35354227,254046.73709736229,-390177.98635783489,2199.4157216891963
|
||||
8,2257195.4500466366,-3346551542.7509909,-3057371207.8180952,139938586.00300646,312648.59912843094,-343836.68198063067,-111.95093670548243
|
||||
8,2260911.4868015177,-1966079746.8493695,-4083473592.2128506,129311044.57189198,419359.36570602335,-200507.88523263048,-5504.2028925456198
|
||||
8,2264337.206939836,-434743777.59809506,-4507285145.2369576,102778706.23543219,465412.70853146043,-41866.575934101762,-9837.1751075919765
|
||||
8,2266530.1337492219,585422109.10781682,-4483380298.9961071,78821428.491007224,462127.25470633816,62719.829204599846,-11940.048534724378
|
||||
8,2271408.2113666162,2672715813.3493323,-3625476059.2911377,13132769.028181078,374894.77702834539,280112.80400628818,-14408.573235334174
|
||||
8,2276097.4006803907,4047916876.4911733,-1933666687.5247586,-53356550.207526475,200011.04325969331,425707.77992662182,-13383.416223740498
|
||||
8,2276914.8015547134,4196583170.3500242,-1578607319.1409891,-64093787.955680564,163304.39986170919,442617.53613383882,-12867.864562194542
|
||||
8,2278679.8090668465,4409359865.7767172,-773706745.32482636,-85536633.433175027,76944.139409186973,465730.78392303508,-11351.588640384334
|
||||
8,2278761.4153937893,4415474775.6360035,-735678340.65861213,-86459746.075593293,72929.794657590086,466260.62214132393,-11273.148669869164
|
||||
8,2279222.2136139097,4443888462.2875118,-520216670.74786848,-91549819.307950243,50444.753555813899,468729.07167573716,-10817.294473361
|
||||
8,2289079.1836576555,2671761391.1978607,3568267338.1966453,-134964223.47402656,-378241.74844598171,283606.9932980985,2852.3365495062899
|
||||
8,2291213.3288700399,1803406361.0536544,4080443257.7449069,-125504318.00257933,-433226.87270752288,193618.456444073,6003.4753854280998
|
||||
8,2291770.2140345257,1559008962.405709,4180919045.5314898,-121940945.10737747,-444130.38697466045,167070.13267813422,6787.6263381931449
|
||||
8,2292752.6251051375,1115357065.1206529,4321547334.0028877,-114631724.3851361,-457961.93508348049,119180.80702402951,8071.2278249770307
|
||||
8,2293000.3730586977,1001573933.7189749,4349584204.791234,-112594025.02787597,-460521.63705392834,107155.4021690909,8376.7810273077412
|
||||
8,2300175.1073118928,-2267971136.0712938,3871475988.4665818,-27502283.611518424,-408965.94606763555,-233788.80813500052,14237.401796646656
|
||||
8,2310762.2702826909,-4516090486.1480684,-271742174.13249499,109522338.11635686,25999.285576563627,-466617.40561864112,8996.449741810693
|
||||
8,2330636.7151068226,2305456684.4753156,-3874233944.1169686,26683797.740969542,399674.53258948843,243244.34984594988,-14205.700707459519
|
||||
8,2343298.7898191474,4270494527.1071978,1300866594.552392,-125103878.08110164,-140688.90196373887,452994.70296084089,-6071.7207631993733
|
||||
8,2346262.8809786653,3654148250.8896966,2554348267.2944241,-136731686.86531192,-271154.56164190272,387728.42742878624,-1732.2869858583313
|
||||
8,2354615.1618713546,332214156.47192317,4454752607.2148018,-99383866.368734792,-470193.60813758464,37857.011358560521,10047.815817929695
|
||||
8,2370992.7824516967,-4516350591.1194553,-293794274.7576642,110048811.50214821,28015.562659816896,-466953.27440212213,8948.9362998148081
|
||||
8,2373948.8806485189,-4224820150.6474094,-1635043759.5635223,130953258.13884374,165839.31318433117,-434572.00430445519,5133.3024040441896
|
||||
8,2382631.3812187007,-1379423888.4731245,-4315809799.3283195,120629162.81425929,443534.411658308,-140092.50458552709,-7327.6991063650576
|
||||
8,2389208.1926018596,1628648490.9802358,-4210325697.1456652,49162253.020578735,435772.39800444187,171637.77063136251,-13572.306846573802
|
||||
8,2397904.0036513801,4288144616.3471293,-1297181804.5078053,-72084037.725864843,133641.79052362451,452148.60538932553,-12388.556425509323
|
||||
8,2403501.2887358326,4267101470.2635121,1308685388.4139054,-125236952.59539004,-140596.22279635596,452730.23249205545,-6068.7840266945832
|
||||
8,2423314.1935228184,-3291878829.2709017,3067926304.0416193,12665526.208394626,-322386.5759443079,-341633.76348100282,14446.374246720876
|
||||
8,2426810.3250820599,-4179453672.7549562,1702756035.5504658,61227489.499345794,-180270.17671690611,-432683.0709301359,13045.769297855006
|
||||
8,2428427.2917341487,-4409306943.97229,982713972.67666709,81327959.522674903,-103748.51162613487,-455169.78545350494,11763.841546263511
|
||||
8,2429597.5699358359,-4498652367.817977,444966147.10073686,94476157.059761062,-49143.590831672162,-463089.57136807055,10688.753203276292
|
||||
8,2430499.2743066289,-4523876537.254365,25621496.577693138,103704762.14258271,-6485.5485246864309,-466550.50439840811,9760.0260729285674
|
||||
8,2442512.3685318003,-1516326857.6480813,-4270101253.3896389,122860928.54620628,439263.04339446081,-153526.29543944821,-6936.3882966851243
|
||||
8,2442915.2675501364,-1338214505.204284,-4328292188.5330458,119963817.44731553,444790.1639103904,-135365.89335221157,-7442.5904775154204
|
||||
8,2445054.0861903615,-361531153.25943577,-4513224942.2772532,101256413.97691917,465805.27568941715,-35912.392506577555,-10008.100557651382
|
||||
8,2451545,2515045869.8652868,-3738714470.7545485,19032309.156529054,385853.97308510658,265820.57228461537,-14347.876408079434
|
||||
8,2455075.6939767599,3680414368.5302563,-2575349176.1164789,-31783278.368950848,266719.08935843216,388272.9668955424,-14126.148241228591
|
||||
8,2458180.9034184003,4298490336.6490717,-1258434104.0063851,-73156208.668618634,129660.59873150715,452826.06108211773,-12328.0223920054
|
||||
8,2460000.5,4454447819.2631941,-414301361.3401581,-94125146.201658666,40157.663656568962,471692.34042991709,-10622.495096099408
|
||||
8,2467275.3446910325,3470558196.6603708,2796242995.4203486,-137573803.69929424,-296383.46676020452,368143.77478957037,-757.85748724977361
|
||||
8,2472665.5748623828,1404991101.6551394,4235876085.7290063,-119620616.60249272,-448391.74644502142,152121.80389413188,7221.4317392731145
|
||||
8,2474522.5806957306,548854769.79629242,4433790046.6489677,-103950466.04341871,-469585.40337640792,59990.44198402678,9575.7541189377534
|
||||
8,2486527.0242732824,-4089757830.9311767,1906601971.4410529,55013609.543197669,-202111.0252654379,-422307.1448584079,13365.632971924106
|
||||
8,2501867.9424220412,-1880993619.4784524,-4126155231.5187559,128311453.53743042,425541.93097477249,-192297.52179298186,-5855.8267754312583
|
||||
8,2509740.3647796647,1689952247.6726317,-4185152788.8884659,47237244.64315068,432678.070238685,177398.38282870001,-13645.796171820346
|
||||
8,2510600.060933358,2055155801.5661516,-4015854389.1994753,35320385.96019458,416203.80575289414,216382.20045396325,-14056.154512466597
|
||||
8,2511909.952754871,2579164881.7492838,-3694850204.440309,16639305.089781553,382099.55688178906,272631.58556416596,-14408.89904528933
|
||||
8,2518576.4147364241,4322265371.3809443,-1167129033.1705673,-75608573.925866604,119479.27076904512,455158.75156173494,-12141.878624282013
|
||||
8,2525370.0137001472,4006023624.5630937,1961059799.3569775,-132745745.6428504,-210323.65765957677,425669.44641188363,-3906.8506845631155
|
||||
8,2531672.3758322261,1922577177.1636333,4023148357.2664075,-127192947.69382137,-425791.59123174765,204590.17862355805,5585.5176083378865
|
||||
8,2534824.4901680332,498342052.38547146,4439559320.4422646,-102929006.29032543,-470218.20302579255,55286.30410685423,9691.4013827729468
|
||||
8,2541816.7498776624,-2625110446.2304316,3645850779.0536532,-14569461.322786739,-383244.59409862768,-270442.28547872737,14422.021980817239
|
||||
8,2543036.073701357,-3070895417.5873909,3287331238.6740317,3107415.3627009355,-346723.68394888594,-317325.94990057556,14529.774582291235
|
||||
8,2546994.5257124593,-4142883219.4360399,1790607428.6862524,58642836.720905818,-189692.62707493181,-426957.08091778134,13181.667299294337
|
||||
8,2551052.7434542929,-4526193433.9997454,-51573718.972142957,105436927.26526648,2150.5357920604706,-465599.16471895081,9559.6966650015784
|
||||
8,2558314.4581084568,-3295761155.2466497,-3118266248.2066631,140204014.56534061,320764.81585671741,-338087.78936397546,-431.91082854534318
|
||||
8,2561890.4046752327,-1958100725.8851564,-4090751860.6025405,129409771.15190539,420877.40047634736,-200987.72102560525,-5578.9986223014475
|
||||
8,2564589.685945244,-760914840.92699397,-4465291790.1114178,109531758.72521909,459080.90627958684,-75863.104390858934,-9021.4875984333194
|
||||
8,2565365.3985973313,-402705260.04360342,-4510173189.0474281,102190270.21002667,464204.289063123,-39701.366105638313,-9901.9634829219503
|
||||
8,2577128.7351568425,4063158326.450985,-1899046528.6230195,-54582189.461109929,195324.14397010318,429416.14201630664,-13338.337280032993
|
||||
8,2577639.2677030656,4156848887.0918455,-1677337974.2934921,-61306355.070811465,171705.71896734723,438844.23145891394,-12998.860875238814
|
||||
8,2590334.2671391643,2551568660.1077352,3655932137.800746,-134153558.93984658,-388890.16345552931,272864.08933394216,3360.640120554986
|
||||
8,2595997.4277934292,37773325.03103219,4469555495.9632492,-92935556.987670049,-472655.42525418487,6209.7956580738428,10754.201784382836
|
||||
8,2596685.4703123774,-286895917.49701768,4462098033.6312971,-85307382.119633496,-470697.19817468972,-27739.298698894698,11409.702362744896
|
||||
8,2596902.4767300789,-388928940.05981785,4454940494.0463638,-82810114.572604403,-469648.39004792296,-38233.341019808875,11605.007660958332
|
||||
8,2599958.6811479013,-1782169056.1175373,4115713526.8735213,-43680559.438126236,-434429.57460043562,-183751.83576328747,13792.792755929899
|
||||
8,2607461.5385275586,-4193230528.7213321,1674681138.3096232,62225813.142429605,-177260.09163831593,-432059.0036235493,13001.539905357038
|
||||
8,2618665.2202832801,-3250023335.285738,-3168971013.4188023,140236923.48816052,325919.40749394702,-333797.546804482,-652.59817942365294
|
||||
8,2622969.6595060355,-1582570981.3352432,-4249876080.7904916,124034955.79179592,437769.22545015934,-161344.2189749362,-6780.1116099869841
|
||||
8,2636101.3604303026,3786803574.9413924,-2411196370.8757682,-37687369.190034173,249711.19062637916,398625.37203822302,-13974.815244520825
|
||||
8,2641305.6078180475,4468798320.0026255,-85895304.933750868,-101328004.63431399,6596.7738907046041,473413.23014396202,-9893.9751535678788
|
||||
8,2646186.7395561016,3915312960.5546041,2132161751.9031265,-134240821.67659056,-228126.16996093906,416630.56287164864,-3298.3681064604652
|
||||
8,2652672.8788275202,1663881276.0043931,4136756606.8938818,-123611043.02195102,-438270.92664133152,177630.39391310574,6431.2100302141353
|
||||
8,2655817.3911270499,219785749.22791481,4463263509.9894085,-97010220.425259113,-473179.29779453663,26586.317384063539,10369.654307483805
|
||||
8,2657675.7904352564,-656630609.61434937,4425518715.3262663,-76029772.428152174,-466737.09407372319,-66085.82882942626,12124.966785228149
|
||||
8,2660712.9689958571,-2019547932.2566075,4006991703.4158711,-35945852.310723387,-422853.19846211537,-208898.02393021624,14043.04767638558
|
||||
8,2673114.1483041537,-4457711275.731514,-821251442.49612474,119776838.96361506,81388.889813181144,-458516.1448204632,7564.4191923903936
|
||||
8,2690567.3579719397,1779461093.5289602,-4147398168.7292647,44401164.328235,427115.64410711214,187754.00468843628,-13722.99411462197
|
||||
8,2697604.4441013052,4074198250.6007028,-1875430067.8756185,-55383222.92921342,193806.32315346526,430636.83853234345,-13329.570761693534
|
||||
8,2699249.9134048764,4328807272.1854143,-1142596776.8940125,-76333170.184159264,115350.11566701748,456995.56269231607,-12077.248946626141
|
||||
8,2706019.8488313816,3997227680.8626189,1971891678.0083015,-132867371.08309914,-209945.04280054438,424710.63738171145,-3898.8831999334243
|
||||
8,2718979.4228122425,-1163171001.215251,4322869903.8510981,-62226712.085603632,-455440.08743300638,-118027.05269884451,12948.617456017653
|
||||
8,2720458.1684011132,-1821486575.6392598,4097686632.4290538,-42372266.789472751,-433225.53999166028,-186749.60482359972,13855.405861248497
|
||||
8,2722283.5085893935,-2573535703.2165141,3681941417.3559513,-16463193.678856162,-387642.15866765898,-266591.13521970907,14427.076269908897
|
||||
8,2725810.706325612,-3738582649.8687687,2519171796.5516214,34388362.155940868,-265802.23094043205,-387093.55974022025,14090.722544401899
|
||||
8,2728509.8327481919,-4297490641.7929354,1391891783.1064818,70496563.126268998,-147584.15665937983,-442149.17962123925,12530.842011877694
|
||||
8,2730729.1316622673,-4510474257.14645,380024121.28463286,96252962.544459686,-42231.984556383264,-465397.67224199011,10549.981431427683
|
||||
8,2731022.0789917279,-4520726329.4518166,243551733.70164382,99297856.406226501,-27766.870181607937,-466239.64912174264,10236.822079610331
|
||||
8,2742359.3750335346,-2020929810.8783176,-4062298751.94416,130333809.57045616,415873.15691872191,-205802.18714607431,-5353.064139407973
|
||||
8,2745002.8418905083,-857629252.40640724,-4452227774.6234665,111505708.18844627,458683.30284085334,-85617.601805857557,-8812.9795582470269
|
||||
8,2747657.219437053,373558148.4211542,-4510901256.8479471,84307866.610288709,464538.66325567727,40683.65653023425,-11578.860241889808
|
||||
8,2749649.840763649,1286739996.4421947,-4333380391.6026087,59558083.143449381,447752.89189448353,137546.06094952556,-13155.309086603038
|
||||
8,2752433.6495864699,2459078917.6055379,-3778101942.0373502,21065693.248819966,390401.14398965676,258384.44563385475,-14345.105804929401
|
||||
8,2761257.4085423201,4459503277.0635357,-308325355.11825836,-96585992.921304777,29516.137033078154,470814.36001048546,-10395.582251357788
|
||||
|
@@ -0,0 +1,126 @@
|
||||
// Package semianalytic 内置半解析模型：VSOP2013/TOP2013 与 MPP02 结构、按 DE441 重拟的表，提供历元 L/B/R 与 ICRF 几何状态。
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"math"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
"b612.me/astro/planet/internal/semianalytic/lunar"
|
||||
"b612.me/astro/planet/internal/semianalytic/planets"
|
||||
)
|
||||
|
||||
// 表以 TT 为自变量拟合；TDB−TT 小于 1.7 ms，直接当作 TDB 使用。
|
||||
const (
|
||||
coverStart = -1931455.0
|
||||
coverEnd = 5373545.0
|
||||
eps0 = 84381.448 / 3600 * math.Pi / 180
|
||||
emrat = 81.3005682214972
|
||||
)
|
||||
|
||||
// Ephemeris 内置表；越过覆盖范围仍外推求值，只在 Coverage 中报告范围 / built-in tables; extrapolates beyond coverage.
|
||||
type Ephemeris struct{}
|
||||
|
||||
var _ ephem.Engine = Ephemeris{}
|
||||
|
||||
// Apparent 地心视方向（ICRF 单位矢量）、几何地心距 km、光行时日 / apparent geocentric direction.
|
||||
func (Ephemeris) Apparent(target ephem.Body, jdTT float64) (dir [3]float64, distKM, tauDays float64, err error) {
|
||||
return Apparent(target, jdTT)
|
||||
}
|
||||
|
||||
func finite(x float64) bool { return !math.IsNaN(x) && !math.IsInf(x, 0) }
|
||||
|
||||
type state struct{ p, v [3]float64 }
|
||||
|
||||
func (a state) sub(b state) state {
|
||||
for i := range a.p {
|
||||
a.p[i] -= b.p[i]
|
||||
a.v[i] -= b.v[i]
|
||||
}
|
||||
return a
|
||||
}
|
||||
|
||||
// State 目标相对中心的 ICRF 几何状态 / geometric ICRF state of target relative to center.
|
||||
func (Ephemeris) State(target, center ephem.Body, jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
if !finite(jdTDB) {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
t, err := helio(target, jdTDB)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
c, err := helio(center, jdTDB)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
d := t.sub(c)
|
||||
return toICRF(d.p), toICRF(d.v), nil
|
||||
}
|
||||
|
||||
// Coverage 可信区间 / trusted time span.
|
||||
func (Ephemeris) Coverage(target ephem.Body) (start, end float64, ok bool) {
|
||||
if _, err := helio(target, 2451545); err != nil {
|
||||
return 0, 0, false
|
||||
}
|
||||
return coverStart, coverEnd, true
|
||||
}
|
||||
|
||||
// helio 日心 J2000 平黄道状态（km、km/日）。
|
||||
func helio(b ephem.Body, jd float64) (state, error) {
|
||||
switch b {
|
||||
case ephem.Sun:
|
||||
return state{}, nil
|
||||
case ephem.SSB:
|
||||
return ssbHelio(jd), nil
|
||||
case ephem.Earth, ephem.Moon:
|
||||
emb, err := planetHelio(int(ephem.EMB), jd)
|
||||
if err != nil {
|
||||
return state{}, err
|
||||
}
|
||||
mp, mv := lunar.Default().PositionVelocityJ2000(jd)
|
||||
k := 1.0 / (1 + emrat)
|
||||
if b == ephem.Moon {
|
||||
k -= 1
|
||||
}
|
||||
for i := range mp {
|
||||
emb.p[i] -= mp[i] * k
|
||||
emb.v[i] -= mv[i] * k
|
||||
}
|
||||
return emb, nil
|
||||
}
|
||||
if b >= ephem.Mercury && b <= ephem.Neptune {
|
||||
return planetHelio(int(b), jd)
|
||||
}
|
||||
return state{}, ephem.ErrUnsupportedBody
|
||||
}
|
||||
|
||||
func planetHelio(id int, jd float64) (state, error) {
|
||||
p, v, err := planets.Default().HeliocentricState(id, jd)
|
||||
return state{p, v}, err
|
||||
}
|
||||
|
||||
// ssbHelio 太阳系质心的日心状态：Σ GMᵢ·rᵢ / (GM☉ + Σ GMᵢ)，冥王星等小天体不计。
|
||||
func ssbHelio(jd float64) state {
|
||||
var s state
|
||||
_, gmSun := planets.GM(1)
|
||||
total := gmSun
|
||||
for id := 1; id <= 8; id++ {
|
||||
gm, _ := planets.GM(id)
|
||||
h, _ := planetHelio(id, jd)
|
||||
for i := range s.p {
|
||||
s.p[i] += gm * h.p[i]
|
||||
s.v[i] += gm * h.v[i]
|
||||
}
|
||||
total += gm
|
||||
}
|
||||
for i := range s.p {
|
||||
s.p[i] /= total
|
||||
s.v[i] /= total
|
||||
}
|
||||
return s
|
||||
}
|
||||
|
||||
// toICRF J2000 平黄道 → ICRF 赤道（绕 x 轴转 −ε0）。
|
||||
func toICRF(e [3]float64) [3]float64 {
|
||||
s, c := math.Sincos(eps0)
|
||||
return [3]float64{e[0], e[1]*c - e[2]*s, e[1]*s + e[2]*c}
|
||||
}
|
||||
@@ -0,0 +1,153 @@
|
||||
// 被测契约：内置表经 ICRF 适配后与 DE441 几何状态一致到表本身的精度；质心推算误差不影响光行差。
|
||||
package semianalytic
|
||||
|
||||
import (
|
||||
"bufio"
|
||||
"math"
|
||||
"os"
|
||||
"strconv"
|
||||
"strings"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
type sample struct {
|
||||
target, center ephem.Body
|
||||
jd float64
|
||||
p, v [3]float64
|
||||
}
|
||||
|
||||
func loadSamples(t *testing.T) []sample {
|
||||
f, err := os.Open("testdata/de441-states.csv")
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer f.Close()
|
||||
var out []sample
|
||||
sc := bufio.NewScanner(f)
|
||||
for sc.Scan() {
|
||||
parts := strings.Split(sc.Text(), ",")
|
||||
var v [9]float64
|
||||
for i := range v {
|
||||
if v[i], err = strconv.ParseFloat(parts[i], 64); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
}
|
||||
out = append(out, sample{ephem.Body(v[0]), ephem.Body(v[1]), v[2], [3]float64{v[3], v[4], v[5]}, [3]float64{v[6], v[7], v[8]}})
|
||||
}
|
||||
if len(out) < 500 {
|
||||
t.Fatalf("only %d samples", len(out))
|
||||
}
|
||||
return out
|
||||
}
|
||||
|
||||
func norm(a, b [3]float64) float64 {
|
||||
return math.Sqrt((a[0]-b[0])*(a[0]-b[0]) + (a[1]-b[1])*(a[1]-b[1]) + (a[2]-b[2])*(a[2]-b[2]))
|
||||
}
|
||||
|
||||
func modern(jd float64) bool { return jd >= 2086302.5 && jd <= 2816787.5 }
|
||||
|
||||
func TestStatesMatchDE441(t *testing.T) {
|
||||
type key struct {
|
||||
target, center ephem.Body
|
||||
modern bool
|
||||
}
|
||||
type acc struct{ n, dp, dv, maxDp, maxDv, maxAng float64 }
|
||||
stats := map[key]*acc{}
|
||||
e := Ephemeris{}
|
||||
for _, s := range loadSamples(t) {
|
||||
p, v, err := e.State(s.target, s.center, s.jd)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
k := key{s.target, s.center, modern(s.jd)}
|
||||
if stats[k] == nil {
|
||||
stats[k] = &acc{}
|
||||
}
|
||||
a := stats[k]
|
||||
dp, dv := norm(p, s.p), norm(v, s.v)/86.4
|
||||
r := math.Sqrt(s.p[0]*s.p[0] + s.p[1]*s.p[1] + s.p[2]*s.p[2])
|
||||
a.n++
|
||||
a.dp += dp * dp
|
||||
a.dv += dv * dv
|
||||
a.maxDp = math.Max(a.maxDp, dp)
|
||||
a.maxDv = math.Max(a.maxDv, dv)
|
||||
a.maxAng = math.Max(a.maxAng, dp/r*206264.806)
|
||||
}
|
||||
// 上限：最大位置差 km、最大速度差 m/s；太阳相对质心的残差来自表外天体（冥王星、阋神星等）。
|
||||
type limit struct{ km, ms float64 }
|
||||
limits := map[key]limit{
|
||||
{ephem.Sun, ephem.SSB, true}: {300, 1e-3}, {ephem.Sun, ephem.SSB, false}: {300, 1e-3},
|
||||
{ephem.Earth, ephem.SSB, true}: {300, 0.01}, {ephem.Earth, ephem.SSB, false}: {500, 0.05},
|
||||
{ephem.Earth, ephem.Sun, true}: {40, 0.01}, {ephem.Earth, ephem.Sun, false}: {250, 0.05},
|
||||
{ephem.Moon, ephem.Earth, true}: {0.6, 0.005}, {ephem.Moon, ephem.Earth, false}: {1.2, 0.008},
|
||||
{ephem.Mars, ephem.SSB, true}: {400, 0.04}, {ephem.Mars, ephem.SSB, false}: {1200, 0.1},
|
||||
{ephem.Jupiter, ephem.SSB, true}: {2000, 0.03}, {ephem.Jupiter, ephem.SSB, false}: {4000, 0.05},
|
||||
{ephem.Saturn, ephem.SSB, true}: {2500, 0.02}, {ephem.Saturn, ephem.SSB, false}: {7000, 0.04},
|
||||
}
|
||||
for k, a := range stats {
|
||||
t.Logf("%3d-%3d modern=%-5v n=%2.0f pos rms %.3g km max %.3g km (%.4f″) vel rms %.3g m/s max %.3g m/s",
|
||||
k.target, k.center, k.modern, a.n, math.Sqrt(a.dp/a.n), a.maxDp, a.maxAng, math.Sqrt(a.dv/a.n), a.maxDv)
|
||||
l, ok := limits[k]
|
||||
if !ok {
|
||||
t.Errorf("%d-%d modern=%v: no limit defined", k.target, k.center, k.modern)
|
||||
continue
|
||||
}
|
||||
if a.maxDp > l.km || a.maxDv > l.ms {
|
||||
t.Errorf("%d-%d modern=%v: max %.3g km / %.3g m/s exceeds %.3g km / %.3g m/s",
|
||||
k.target, k.center, k.modern, a.maxDp, a.maxDv, l.km, l.ms)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestStateAntisymmetricAndComposable(t *testing.T) {
|
||||
e := Ephemeris{}
|
||||
bodies := []ephem.Body{ephem.SSB, ephem.Sun, ephem.Mercury, ephem.EMB, ephem.Earth, ephem.Moon, ephem.Neptune}
|
||||
for _, jd := range []float64{2451545.0, 2460000.5, 1000000.5} {
|
||||
for _, a := range bodies {
|
||||
for _, b := range bodies {
|
||||
p1, v1, err1 := e.State(a, b, jd)
|
||||
p2, v2, err2 := e.State(b, a, jd)
|
||||
if err1 != nil || err2 != nil {
|
||||
t.Fatal(err1, err2)
|
||||
}
|
||||
for i := range p1 {
|
||||
if math.Abs(p1[i]+p2[i]) > 1e-6 || math.Abs(v1[i]+v2[i]) > 1e-9 {
|
||||
t.Fatalf("%d-%d jd %.1f: not antisymmetric", a, b, jd)
|
||||
}
|
||||
}
|
||||
}
|
||||
// 经质心中转与直接求差一致
|
||||
ps, _, _ := e.State(a, ephem.SSB, jd)
|
||||
pe, _, _ := e.State(ephem.Earth, ephem.SSB, jd)
|
||||
pd, _, _ := e.State(a, ephem.Earth, jd)
|
||||
for i := range pd {
|
||||
if math.Abs(ps[i]-pe[i]-pd[i]) > 1e-4 {
|
||||
t.Fatalf("%d via SSB differs from direct by %.3g km", a, ps[i]-pe[i]-pd[i])
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestUnsupportedBodyAndCoverage(t *testing.T) {
|
||||
e := Ephemeris{}
|
||||
if _, _, err := e.State(ephem.Body(999), ephem.Sun, 2451545); err != ephem.ErrUnsupportedBody {
|
||||
t.Fatalf("want ErrUnsupportedBody, got %v", err)
|
||||
}
|
||||
if _, _, ok := e.Coverage(ephem.Body(999)); ok {
|
||||
t.Fatal("unsupported body reported coverage")
|
||||
}
|
||||
s, end, ok := e.Coverage(ephem.Moon)
|
||||
if !ok || s >= 2086302.5 || end <= 2816787.5 {
|
||||
t.Fatalf("coverage %v..%v ok=%v", s, end, ok)
|
||||
}
|
||||
}
|
||||
|
||||
func BenchmarkEarthBarycentric(b *testing.B) {
|
||||
e := Ephemeris{}
|
||||
for i := 0; i < b.N; i++ {
|
||||
e.State(ephem.Earth, ephem.SSB, 2451545.0+float64(i%7300)*10)
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,560 @@
|
||||
10,0,-453760.43827763933,627503.58386753942,-124230.69050468586,-70199.078707220062,26.76776105652425,765.92648268149367,334.66502282017069
|
||||
399,0,-453760.43827763933,107103581.39105695,92605789.262403503,41615993.840190336,-1825853.499460791,1701479.4253012564,784308.67706974538
|
||||
301,399,-453760.43827763933,-378705.73482052982,-28103.816160514951,-4017.4131024926901,3342.9625418581395,-77819.182821935115,-44213.971528624854
|
||||
399,10,-453760.43827763933,106476077.80718942,92730019.952908188,41686192.918897554,-1825880.2672218478,1700713.4988185749,783974.01204692514
|
||||
4,0,-453760.43827763933,169899735.16094986,-110355741.70409171,-56951329.050765976,1390624.903042719,1643145.9958309424,681686.37711209245
|
||||
5,0,-453760.43827763933,-795152443.37427366,-114721004.00195973,-25286023.797442842,159314.46442211611,-988964.39427058503,-431497.11358438112
|
||||
6,0,-453760.43827763933,1018743245.1316302,782191583.20550311,289192256.68771762,-579827.2059701574,633218.12694378977,273048.03342590691
|
||||
10,0,-423678.70671046677,179909.8780418032,-63616.807055276884,-40950.160518573954,83.110891028374496,742.67766260582778,323.1304096576477
|
||||
399,0,-423678.70671046677,-149343645.39114499,9355483.6249353141,4992417.8648941768,-231365.52615053259,-2326441.6302622342,-1057956.1165324459
|
||||
301,399,-423678.70671046677,-362497.12572547793,-18989.414561057463,-26273.515087980777,9050.9046067815598,-87472.242646161438,-31950.617127462578
|
||||
399,10,-423678.70671046677,-149523555.26918679,9419100.4319905918,5033368.0254127504,-231448.63704156096,-2327184.3079248401,-1058279.2469421034
|
||||
4,0,-423678.70671046677,-124479878.0323623,-165270415.92394394,-69258047.861014932,1871669.9375692941,-978522.93242947722,-520494.3005525489
|
||||
5,0,-423678.70671046677,-789098416.28881919,127609049.23493271,79009712.306077182,-211886.21464492343,-986005.85410317755,-418932.84563305299
|
||||
6,0,-423678.70671046677,1055647465.7742503,-875380582.46072364,-384706841.81956458,509714.64545812609,617854.61940350023,236530.72638943736
|
||||
10,0,-341426.16644567705,1262769.5920344677,-12843.113056088087,-44673.111321944591,192.05195299485459,1122.6787803388454,472.82069914201332
|
||||
399,0,-341426.16644567705,-67420712.2168971,-123924288.49601531,-56057011.641266786,2249658.9569060388,-1043850.8712911939,-484948.76346071513
|
||||
301,399,-341426.16644567705,353508.68930772692,81476.007399842143,27496.600809656084,-25016.476000322597,84701.806706080868,29842.278451677859
|
||||
399,10,-341426.16644567705,-68683481.808931574,-123911445.38295922,-56012338.529944845,2249466.9049530439,-1044973.5500715327,-485421.58415985713
|
||||
4,0,-341426.16644567705,-194700914.1804221,132111452.73911095,67805538.859190211,-1106469.9289963758,-1453285.0502874847,-609306.52568247006
|
||||
5,0,-341426.16644567705,-772362855.05181193,190373590.34130129,105414962.08175862,-306762.49500183394,-965002.72271918959,-407101.11956292926
|
||||
6,0,-341426.16644567705,-1398022432.4734106,-562786993.05195999,-188571905.17817026,275356.2760138099,-674855.90839133295,-281669.90831381845
|
||||
10,0,-324796.10496353707,70937.878713973201,-693144.55331471935,-300420.81453991978,1158.1163208507717,119.39272746038905,22.442442342931706
|
||||
399,0,-324796.10496353707,42742866.585810877,127221490.89314052,57641128.49656865,-2510762.2874431824,685382.01387348806,323035.27252551523
|
||||
301,399,-324796.10496353707,-66186.945268243551,-351223.13583222032,-193947.72853952646,82731.122926523749,-10694.849705449889,-9210.9054652472169
|
||||
399,10,-324796.10496353707,42671928.707096905,127914635.44645524,57941549.311108567,-2511920.4037640332,685262.6211460277,323012.8300831723
|
||||
4,0,-324796.10496353707,-192197639.67468974,-111839819.18567654,-42395532.288457409,1253199.6871998506,-1518782.3089291244,-737951.33603576955
|
||||
5,0,-324796.10496353707,-250476891.47148129,678697469.34220517,300365365.55205262,-1071758.3956206813,-306557.97302640002,-100009.46333471482
|
||||
6,0,-324796.10496353707,1120314399.2619877,667410859.63375628,238772380.73121825,-496473.62316226226,685255.79174112098,292228.49759181245
|
||||
10,0,-240920.88948244418,-75454.751970275684,596690.9036632292,252642.55203370831,-955.3831380591871,375.06841084704524,194.94239957869917
|
||||
399,0,-240920.88948244418,76011539.575863644,-118842251.59630252,-54283713.502295278,2176925.0884052352,1187286.3231776035,529551.13488172321
|
||||
301,399,-240920.88948244418,-240195.25513634086,-291111.43127427995,-145459.04963837564,66462.133179508732,-48564.774128241814,-14620.894423581543
|
||||
399,10,-240920.88948244418,76086994.327833921,-119438942.49996576,-54536356.054328986,2177880.4715432944,1186911.2547667564,529356.19248214446
|
||||
4,0,-240920.88948244418,-83915284.901893944,-181679091.85636759,-78575043.891084388,2078302.2405602112,-621887.10568215535,-367304.18231882545
|
||||
5,0,-240920.88948244418,-506666036.12325954,-570435363.11525273,-230983463.82616255,866177.87226951157,-612820.75171545194,-290335.85495241586
|
||||
6,0,-240920.88948244418,1003176300.2264693,-936133043.14471006,-408882641.44364846,547291.55888138711,584496.16270809667,221230.75135872042
|
||||
10,0,-136305.25725227379,143094.43903393406,1167331.2967486593,489165.05573821237,-1227.9900662357579,-95.239974211215539,-7.8524917579509879
|
||||
399,0,-136305.25725227379,-5115705.7768299906,134794008.3806335,61059780.776681036,-2622807.104624155,-80473.118247179853,-26205.829805254147
|
||||
301,399,-136305.25725227379,-135071.25769134518,-321196.27134543657,-121554.68873813003,84752.537477942387,-29880.855052582217,-20935.866063526304
|
||||
399,10,-136305.25725227379,-5258800.2158639245,133626677.08388485,60570615.720942825,-2621579.1145579191,-80377.878272968635,-26197.977313496194
|
||||
4,0,-136305.25725227379,216383601.43630025,23271023.442273706,1580481.4558775835,-48056.937799281521,1988673.2289311781,900792.58517917059
|
||||
5,0,-136305.25725227379,164213995.9978635,-691617404.07310879,-303285467.8200323,1098572.9234916801,267409.22831109242,82755.005996207547
|
||||
6,0,-136305.25725227379,-1094650719.3921556,-1009686290.7719079,-377293906.60044181,534084.27739309974,-510907.40708203777,-223116.28406723318
|
||||
10,0,30779.849641129607,325285.19509265444,-622658.9547295532,-274866.49127055617,972.13826311861328,502.27178429537702,190.66368771312477
|
||||
399,0,30779.849641129607,-45218113.618455507,-133198911.02380063,-60038082.129406638,2409954.832107571,-692040.73699167243,-320568.28503903653
|
||||
301,399,30779.849641129607,199094.05585694313,270804.87592631578,132343.87062557787,-79923.592886510713,48124.246877130056,12789.008542954869
|
||||
399,10,30779.849641129607,-45543398.813548163,-132576252.06907107,-59763215.638136081,2408982.693844452,-692543.00877596776,-320758.94872674963
|
||||
4,0,30779.849641129607,33030995.020363957,217866655.9026649,97284527.145953894,-1922791.6625242801,326530.36135733215,225508.62360496089
|
||||
5,0,30779.849641129607,-545361056.97010326,524906872.12050623,242430111.90726534,-823948.08953940775,-681604.84083041106,-269986.58774138265
|
||||
6,0,30779.849641129607,819637518.14857697,971622073.76355374,369081670.34898657,-707248.41433020262,502549.67841657891,225637.97933998608
|
||||
10,0,140198.1254105469,1136951.4456759819,108880.12548372868,25778.181877663847,-438.61890392273813,884.48962166408126,390.50962613380051
|
||||
399,0,140198.1254105469,-15209072.633473158,133124392.88546264,60076419.945044287,-2606574.6103484146,-258689.69478386734,-109007.7718831063
|
||||
301,399,140198.1254105469,371038.12426981144,-66178.799296975136,-4907.703617952764,11832.909284232097,83387.721396486784,31184.345092606552
|
||||
399,10,140198.1254105469,-16346024.07914914,133015512.75997892,60050641.763166621,-2606135.9914444918,-259574.18440553138,-109398.28150924009
|
||||
4,0,140198.1254105469,-234960457.78411904,46245944.208213083,30351888.417449288,-324952.41276325844,-1760877.6552028595,-784648.10135903535
|
||||
5,0,140198.1254105469,-625425795.27779233,-465799679.98433721,-182795564.12458292,700261.29289416876,-764042.95712471497,-349954.52736126329
|
||||
6,0,140198.1254105469,-745394692.11534095,1064252205.1074734,455266286.54390258,-754618.17328486068,-396564.52445036377,-137355.34838903981
|
||||
10,0,323411.96748006181,34210.586069219898,128271.68157016362,63292.96387677118,-466.10778441045494,-643.41543448852235,-269.05260783345869
|
||||
399,0,323411.96748006181,100512294.32486616,-103165494.96654348,-46629080.087800294,1876626.5307019195,1561874.4839539139,697953.54083895206
|
||||
301,399,323411.96748006181,100989.65486904979,-324328.19912312925,-115916.64987385273,90173.587613736003,24588.562106619291,15048.821262504913
|
||||
399,10,323411.96748006181,100478083.73879693,-103293766.64811364,-46692373.051677063,1877092.6384863297,1562517.8993884025,698222.59344678547
|
||||
4,0,323411.96748006181,71103695.818554983,207630728.40813014,91403844.284720734,-1854135.9799148592,648971.27772321133,366827.35258264322
|
||||
5,0,323411.96748006181,599485102.14727378,-415860544.26402104,-196491215.54749018,683233.26214325998,869172.36671001406,355417.49964572699
|
||||
6,0,323411.96748006181,-900211237.9924432,961546193.65715563,419656291.39301538,-686917.49286723323,-486456.95044434589,-175228.77953201107
|
||||
10,0,410958.80400505499,-245059.3682541163,-434583.29653500795,-184808.03223093296,747.79765976975636,-553.92434138418332,-265.04289085256511
|
||||
399,0,410958.80400505499,-140060387.47585872,-52106971.392762199,-23092956.088610828,918364.03788714588,-2173934.3514118898,-978128.38693157409
|
||||
301,399,410958.80400505499,275106.02984830737,222320.62423730642,123035.74025066569,-57537.463286377104,66412.343673773561,23608.348773510788
|
||||
399,10,410958.80400505499,-139815328.10760459,-51672388.096227191,-22908148.056379896,917616.24022737611,-2173380.4270705059,-977863.34404072154
|
||||
4,0,410958.80400505499,-196355162.82393789,-111558567.97122648,-43036902.106849015,1224739.4642769785,-1503585.0770338448,-729774.47295531456
|
||||
5,0,410958.80400505499,560643734.63105357,467483956.1044026,185736622.29063299,-757380.37724661629,803656.17509993911,368130.10632862721
|
||||
6,0,410958.80400505499,-1469405970.5139503,-35741558.862380534,33853664.460445754,-40365.728163699059,-748731.75708044507,-302736.93673589337
|
||||
10,0,672459.66525789374,645539.54830305907,136502.11925789321,35538.858895883473,-15.518729950149929,884.47081105946381,384.14299420599144
|
||||
399,0,672459.66525789374,-149009947.22007665,416636.87278272526,379320.98538751283,-53385.621863982349,-2346655.7459996752,-1049183.6073999063
|
||||
301,399,672459.66525789374,-127310.13541820645,344764.77268082416,169050.11814553768,-78969.238528246686,-26836.008240724288,-4431.9900806051355
|
||||
399,10,672459.66525789374,-149655486.76837972,280134.75352483208,343782.12649162934,-53370.103134032208,-2347540.2168107345,-1049567.7503941124
|
||||
4,0,672459.66525789374,-50145022.153465472,217207973.84045941,100637677.99620563,-1912310.62804844,-304382.11815668899,-66944.861614348381
|
||||
5,0,672459.66525789374,-794368144.76506698,125644990.78110985,76196281.991929084,-208666.61002827447,-979694.47930937167,-416631.04395147809
|
||||
6,0,672459.66525789374,208355968.18891349,-1383893126.6364479,-569815786.85804617,773553.61521544191,136335.92253831017,28728.139764948082
|
||||
10,0,696936.53672289755,-770404.85808557493,-255223.29417820607,-86590.711500965583,787.57558923321039,-937.0387596381986,-421.24234051764654
|
||||
399,0,696936.53672289755,-150185135.05409065,-10977263.750148753,-4667819.9072268493,154542.00456880519,-2342472.2874880671,-1046962.7510517323
|
||||
301,399,696936.53672289755,205603.35032978654,299670.43087032996,126755.7124454584,-76286.400136153898,42905.76840027998,10799.865849996382
|
||||
399,10,696936.53672289755,-149414730.19600508,-10722040.455970546,-4581229.1957258834,153754.42897957197,-2341535.2487284285,-1046541.5087112148
|
||||
4,0,696936.53672289755,168874778.45740345,-107274081.73852165,-55077529.653738879,1342627.226751019,1690853.0633071044,718978.52745493792
|
||||
5,0,696936.53672289755,533621128.91751736,492084177.33193231,197397832.60611317,-799646.61553727638,769527.01443606988,353932.91383846977
|
||||
6,0,696936.53672289755,1315831347.1208186,346369890.16144598,95268737.134883881,-271878.46888971946,763502.7310255816,319840.64900005102
|
||||
10,0,1167745.7896862614,-133708.72319508885,1041902.6789467742,443816.62844419561,-1262.2881277491579,-249.50014957519255,-70.429732337884914
|
||||
399,0,1167745.7896862614,-149454357.81419855,5020613.9728487339,2286935.4602207472,-122204.01789723781,-2353325.7838803092,-1043204.5765919515
|
||||
301,399,1167745.7896862614,-96167.780640661716,344891.39719489869,143127.97551840311,-85820.888738375288,-18497.453442909478,-44.093726527256649
|
||||
399,10,1167745.7896862614,-149320649.09100348,3978711.2939019594,1843118.8317765514,-120941.72976948865,-2353076.2837307341,-1043134.1468596137
|
||||
4,0,1167745.7896862614,-3037789.5087923734,219462711.6726191,100175476.75606233,-1972812.9288323952,82675.244628950211,106300.82116090877
|
||||
5,0,1167745.7896862614,89733093.596783444,-707179735.06682336,-306976891.06356704,1114601.6418969852,174120.24055872232,45272.227803170987
|
||||
6,0,1167745.7896862614,532629719.49820274,-1292308305.7648468,-546812039.54359138,726302.3606329225,299527.36914683977,95138.270941744835
|
||||
10,0,1249492.6623223473,724161.14411717979,682292.41094350046,271074.18694952864,-759.11478480629989,764.72787280101375,343.89208115491624
|
||||
399,0,1249492.6623223473,-42835620.038486578,129051264.89645538,57113535.036888085,-2504002.5584751382,-698601.7558053761,-308315.04094684956
|
||||
301,399,1249492.6623223473,-72656.72027835995,321878.7892229259,139684.46265818179,-92170.504715571107,-22795.314999024577,-477.69461479725948
|
||||
399,10,1249492.6623223473,-43559781.182603754,128368972.48551188,56842460.849938557,-2503243.4436903321,-699366.48367817712,-308658.93302800448
|
||||
4,0,1249492.6623223473,4689673.5394349657,218421127.34269571,99502303.539471179,-1974594.3654773652,140993.1177642447,132072.68998593753
|
||||
5,0,1249492.6623223473,-506962062.43960947,-574592772.43059659,-234007933.4962554,866786.80498500052,-603400.43350880593,-282758.8261645991
|
||||
6,0,1249492.6623223473,-1305842478.3232687,471413341.50154948,241611019.27994251,-366986.34768341598,-708990.90283243079,-275466.97308580414
|
||||
10,0,1286243.8747144653,-502700.78423914744,-116365.88801059836,-42815.336192564442,631.36511564489376,-743.72805611893477,-333.32255120133499
|
||||
399,0,1286243.8747144653,126765170.1007296,-74631811.32028763,-33053969.787823867,1343083.449423417,1980299.5704166649,875648.8617137043
|
||||
301,399,1286243.8747144653,-325645.55342233181,198445.1098806262,82674.789149478078,-44803.523130046873,-65147.725763014714,-37466.277445392487
|
||||
399,10,1286243.8747144653,127267870.88496874,-74515445.432277039,-33011154.451631304,1342452.0843077721,1981043.2984727838,875982.18426490563
|
||||
4,0,1286243.8747144653,-76593836.754464939,-188771491.66355914,-83559384.223152295,2080974.6789679483,-498320.40545437078,-298419.18401374662
|
||||
5,0,1286243.8747144653,469074518.60016835,545857414.44471633,222640573.31567121,-889247.12279054744,680867.44697292952,316617.41456959402
|
||||
6,0,1286243.8747144653,618421159.54254699,-1256681460.1771402,-536338783.45012498,706162.48867637152,340885.15250775538,112367.80459898795
|
||||
10,0,1366926.0296145864,266645.2199337121,609036.44912596606,256497.93520170121,-891.73469916082286,130.86127969991588,74.614358731594038
|
||||
399,0,1366926.0296145864,51176075.488903083,-130549056.36901253,-57697982.31234879,2379077.8277257644,786386.52304830472,346865.18794627633
|
||||
301,399,1366926.0296145864,-367576.16793164611,101073.56945747137,56931.19923081249,-22791.884578142104,-74517.707861693503,-41031.276571204173
|
||||
399,10,1366926.0296145864,50909430.268969372,-131158092.8181385,-57954480.247550495,2379969.5624249252,786255.66176860477,346790.57358754479
|
||||
4,0,1366926.0296145864,81256792.994015694,199553520.89477363,88379900.709219798,-1846914.3975690817,778404.67555819778,417606.6805098654
|
||||
5,0,1366926.0296145864,-35209342.86299181,-718532938.26496387,-308392520.28327638,1120218.3473974604,8894.265589923667,-25565.055264334027
|
||||
6,0,1366926.0296145864,-750367080.24278295,1040795009.4428687,453711488.93813241,-748219.94295809406,-425988.34405618918,-145312.6374682457
|
||||
10,0,1394255.2611955395,-759977.80689333007,-231527.8038175565,-78138.784542168738,314.48291056921602,-1052.0564111998183,-455.98364927717017
|
||||
399,0,1394255.2611955395,-102965651.98664136,-102435446.11972897,-45181294.019446827,1852552.038553915,-1592841.203840204,-703760.68952724303
|
||||
301,399,1394255.2611955395,-40577.679762855172,-351293.19585238397,-194286.02508876473,84007.626002565332,-5859.5740515482021,-2602.5535224470559
|
||||
399,10,1394255.2611955395,-102205674.17974803,-102203918.31591141,-45103155.234904662,1852237.5556433457,-1591789.1474290045,-703304.7058779659
|
||||
4,0,1394255.2611955395,199957578.96918827,-48606513.194219477,-28896642.226250682,676064.31165367912,1979760.8798501482,881597.58173156902
|
||||
5,0,1394255.2611955395,678270823.9188621,289171905.12004817,106718132.30380945,-473461.89793303586,983903.02745740081,435923.13837477926
|
||||
6,0,1394255.2611955395,897478319.75767362,-1079286717.63485,-475276386.65027696,612122.58871399029,487850.63516792562,175740.66148788715
|
||||
10,0,1540037.7435625107,628498.90084087849,643025.38002604444,252205.42382998261,-923.63591148223816,460.45903843394262,216.02320948165141
|
||||
399,0,1540037.7435625107,2643526.329480005,-138662571.20653906,-61102844.92950689,2527111.0323729799,29005.059494638826,12431.730472547471
|
||||
301,399,1540037.7435625107,-374734.29918320896,-112233.267511338,-43819.304923593998,21798.633057134215,-78830.871977227507,-26495.913505385226
|
||||
399,10,1540037.7435625107,2015027.4286391265,-139305596.58656511,-61355050.353336871,2528034.6682844618,28544.60045620488,12215.70726306582
|
||||
4,0,1540037.7435625107,94058137.520531431,193028009.1459724,85134385.821311831,-1803487.3512046519,893427.99880858581,467242.28164426994
|
||||
5,0,1540037.7435625107,-255656396.39574125,-691410249.90966821,-290843832.97292084,1059937.4582405013,-279451.72740607447,-147659.63970557705
|
||||
6,0,1540037.7435625107,-1319723094.8317888,433367108.01214272,228939451.10908249,-342312.80205306987,-719810.09792945685,-281021.44501011219
|
||||
10,0,1565000.0455863921,486856.21582467703,175203.6131132115,55386.387190895708,-37.156090046814626,894.17758566081363,388.52662566763013
|
||||
399,0,1565000.0455863921,126473107.31323674,71903115.29829827,31622419.568302542,-1403691.6369292056,1996922.0020895831,879290.32156210719
|
||||
301,399,1565000.0455863921,128026.30753955245,311338.65034233034,166876.72068337351,-82702.2842225684,35064.946106137824,11094.02679858684
|
||||
399,10,1565000.0455863921,125986251.09741206,71727911.68518506,31567033.181111645,-1403654.4808391589,1996027.8245039221,878901.79493643949
|
||||
4,0,1565000.0455863921,-242991178.2676422,29265885.606154762,21269934.890574083,-190966.64007022683,-1743243.1217300082,-790704.12607539876
|
||||
5,0,1565000.0455863921,-801834811.80000269,101660317.35817008,64434678.62341217,-173334.63387270641,-981638.76002203347,-417804.2193836873
|
||||
6,0,1565000.0455863921,-95726863.640287668,-1405971995.382911,-571438330.49038398,779269.44017201581,-28746.695200808259,-42380.131152042246
|
||||
10,0,1889839.0155428546,719836.50959284685,68833.436357806044,14611.810434701043,189.77594036846585,768.69027282739853,330.97140741406986
|
||||
399,0,1889839.0155428546,-138364902.48478115,47296786.197665848,20676527.785093918,-939128.44165621756,-2215019.7108430685,-969654.34982069547
|
||||
301,399,1889839.0155428546,-261664.32007193565,-234427.28468436748,-124198.52134773135,60457.164867589687,-59035.655430183899,-33521.837339324367
|
||||
399,10,1889839.0155428546,-139084738.99437401,47227952.761308044,20661915.974659216,-939318.21759658598,-2215788.4011158962,-969985.32122810953
|
||||
4,0,1889839.0155428546,-148802749.47486317,177183231.31609508,85671177.23088935,-1566902.942095832,-1019305.1052165934,-418758.46154279157
|
||||
5,0,1889839.0155428546,-775392250.88077521,201971370.20056602,106348766.33179846,-327405.28233183734,-952729.50221286423,-401096.13944470783
|
||||
6,0,1889839.0155428546,1258794002.5284052,-660338298.37609601,-322359477.0464617,368562.75085798593,678644.82249033032,263468.69682902459
|
||||
10,0,2027804.330076247,62249.76468689536,-78143.086725076326,-48135.941918988698,779.55332266714379,279.39488519691173,104.83797036428177
|
||||
399,0,2027804.330076247,81634751.008104131,112749330.51308981,49235806.083713755,-2187344.5236724559,1296655.2028865039,566100.2017827424
|
||||
301,399,2027804.330076247,-99438.883430570364,330718.79413504899,127845.67404284328,-89696.478194018913,-14847.316331671209,-14973.797525035339
|
||||
399,10,2027804.330076247,81572501.243417233,112827473.59981488,49283942.025632747,-2188124.0769951232,1296375.8080013068,565995.36381237803
|
||||
4,0,2027804.330076247,71546620.496415392,199541564.84508044,89264070.884582832,-1894346.6473023503,723942.31680345186,387921.96363776835
|
||||
5,0,2027804.330076247,-279183816.54482061,668300795.94156718,293988326.13816065,-1066258.5211465377,-332482.10949176934,-116133.95912687063
|
||||
6,0,2027804.330076247,21947051.965795226,-1396746454.298749,-574829445.01212502,785298.14579425787,23971.187960232812,-22655.022211400901
|
||||
10,0,2086815.8666723573,-795679.73180566053,239894.17696613466,124242.09089082951,-383.61897730562356,-897.66428734228509,-380.27458307739965
|
||||
399,0,2086815.8666723573,-25223220.420830529,-137286886.74172539,-59878600.976765573,2497347.3756929459,-387364.76033586101,-168768.3644281578
|
||||
301,399,2086815.8666723573,242639.0815602541,259651.46321371198,134961.66818419099,-72169.299504405732,45881.606309370494,26635.470723991635
|
||||
399,10,2086815.8666723573,-24427540.689024869,-137526780.91869152,-60002843.067656405,2497730.9946702514,-386467.09604851872,-168388.08984508042
|
||||
4,0,2086815.8666723573,177865583.26885295,113899116.67111084,46953013.592959613,-1093655.9676846594,1710400.8997220506,815766.16147857718
|
||||
5,0,2086815.8666723573,615356770.45875466,-391609063.87699097,-183475462.81719759,637325.44311552017,901931.58072537044,371376.56521035632
|
||||
6,0,2086815.8666723573,100969230.44989257,1241465358.2270935,506248438.74994004,-880270.35741452023,46968.54298108731,55935.68221279078
|
||||
10,0,2099489.6272558859,-98908.210391892091,392943.82485257211,167873.49369500036,-831.87833971150985,-289.54238058273523,-107.79517335756842
|
||||
399,0,2099489.6272558859,-132056357.98271817,61903758.657800734,26982525.283405062,-1210852.9838009048,-2110916.1369288079,-920921.10023620527
|
||||
301,399,2099489.6272558859,391712.98889483511,42588.833707660437,-12469.274598196149,-10443.768712517811,76715.42291709948,38309.285415361141
|
||||
399,10,2099489.6272558859,-131957449.77232628,61510814.832948163,26814651.78971006,-1210021.1054611932,-2110626.5945482254,-920813.30506284779
|
||||
4,0,2099489.6272558859,-245723116.79959786,-7309822.3322583521,3830602.9564854666,137330.02411354604,-1746628.3824186435,-804288.8284863435
|
||||
5,0,2099489.6272558859,342923292.54386282,-627602503.6304276,-277986268.79383302,998242.10164144763,520791.09679809003,198732.53700891862
|
||||
6,0,2099489.6272558859,-1274548327.2677507,501067440.15145624,259168898.30899084,-384187.23247185623,-710029.8904072427,-276013.11018963216
|
||||
10,0,2120571.7387645813,601786.10790288902,202364.9246442047,72425.95854305214,-793.4456803889766,472.96230529418119,216.90279049818085
|
||||
399,0,2120571.7387645813,98285124.567659885,102089583.46455696,44508699.935892865,-1978291.1482050095,1551530.7261598012,676375.13476195699
|
||||
301,399,2120571.7387645813,-232664.07951657474,-261509.48931859434,-130387.51262889057,73533.620175558899,-46263.81487983033,-28157.646273923085
|
||||
399,10,2120571.7387645813,97683338.459757,101887218.53991276,44436273.97734981,-1977497.7025246206,1551057.7638545071,676158.23197145876
|
||||
4,0,2120571.7387645813,22690948.97972177,212498714.36542284,96705524.016103774,-1993737.0222408166,313596.84458833508,201787.7977233204
|
||||
5,0,2120571.7387645813,-288262031.83491343,-685543935.46227217,-287122969.79236215,1040450.9161762344,-318361.55747931561,-162534.21936913967
|
||||
6,0,2120571.7387645813,-1070678604.6756555,782671401.4617641,366689107.570135,-571257.27067430783,-607284.20141264203,-225984.73638259841
|
||||
10,0,2129691.5391471279,52245.763763670933,225140.13702041117,102809.25576647997,-748.60907804900398,-327.47818158253205,-125.92058462910524
|
||||
399,0,2129691.5391471279,118538196.75593223,82142475.74655503,35828784.098640934,-1593592.874858632,1877068.8624099866,818160.78655203525
|
||||
301,399,2129691.5391471279,-340349.264203161,163359.94846588373,35177.988661788404,-32815.259109088744,-75580.634058082796,-34649.741331709731
|
||||
399,10,2129691.5391471279,118485950.99216856,81917335.609534621,35725974.842874452,-1592844.265780583,1877396.340591569,818286.70713666442
|
||||
4,0,2129691.5391471279,-243993756.90561414,36225674.838996746,23698961.320317954,-269611.77785708749,-1722606.5235176869,-781497.63354250183
|
||||
5,0,2129691.5391471279,210745843.96482921,-682758418.63624871,-298318793.82373732,1074990.0808944716,339100.8185794758,118851.04141020701
|
||||
6,0,2129691.5391471279,225037283.11990792,1229574569.0415993,496456657.73483026,-870591.93229054357,118348.48426269997,85061.325074702807
|
||||
10,0,2136031.8966931319,300761.40511707781,-93971.897766627299,-52851.092133560487,829.21334531757122,157.24336169580829,51.446240717315618
|
||||
399,0,2136031.8966931319,-145968152.74305409,24276767.832828704,10554013.417778656,-502648.25399232126,-2327224.4506025868,-1014495.0470628883
|
||||
301,399,2136031.8966931319,-363542.74368751049,3755.1553276926279,-32372.437844518572,4684.211475105104,-84668.399258849167,-38921.515225957395
|
||||
399,10,2136031.8966931319,-146268914.14817116,24370739.730595332,10606864.509912217,-503477.46733763878,-2327381.6939642825,-1014546.4933036056
|
||||
4,0,2136031.8966931319,-92396357.856428593,-187197398.85271659,-83097454.783372059,1998067.4804792111,-607290.82764326804,-336322.68044812564
|
||||
5,0,2136031.8966931319,-176590887.26378736,692906463.36545205,301808567.79089618,-1111608.6944989644,-199645.37743766894,-58080.484139468594
|
||||
6,0,2136031.8966931319,530595907.32363993,-1289171416.3514507,-552632430.89649689,732952.83825500507,286562.45020076178,87274.140733310589
|
||||
10,0,2152046.0972028235,-804662.45225551585,-91646.232153783247,-20872.642403275175,-12.217527650470018,-950.1465811560048,-412.36321408844634
|
||||
399,0,2152046.0972028235,-55929728.21855174,124934648.09143758,54457127.202658847,-2430292.9634709298,-891747.46106921136,-388901.81901437155
|
||||
301,399,2152046.0972028235,-213468.03732085973,-288252.4029724896,-89982.696465872228,74521.657056449039,-49538.20590339003,-19937.256285700027
|
||||
399,10,2152046.0972028235,-55125065.766296223,125026294.32359137,54477999.845062122,-2430280.7459432795,-890797.3144880553,-388489.45580028312
|
||||
4,0,2152046.0972028235,203484691.07636839,51865557.816598415,17874843.331937201,-451048.93949722964,1989172.5825124797,924648.33287775808
|
||||
5,0,2152046.0972028235,722867886.04743457,-157510989.87702823,-85543086.945528582,259007.54405865876,1056758.6908656415,447158.11161576048
|
||||
6,0,2152046.0972028235,-508267495.77646565,1150054513.9644098,494552625.90265369,-821295.30204820575,-300666.37479726312,-89341.033100792483
|
||||
10,0,2191169.7453055531,-759845.81634070189,146044.40216129573,84533.518584882011,-115.1284416233411,-1187.804386918461,-501.46802951241983
|
||||
399,0,2191169.7453055531,-133577179.35463855,60098616.423502661,26179725.74245115,-1180543.5686987306,-2124903.8412678358,-925579.8879813212
|
||||
301,399,2191169.7453055531,-289951.21323598921,-206911.77295928448,-104637.33339931816,57327.537181398955,-67684.066274933735,-21453.001503787793
|
||||
399,10,2191169.7453055531,-132817333.53829785,59952572.021341369,26095192.223866269,-1180428.4402571071,-2123716.0368809174,-925078.41995180876
|
||||
4,0,2191169.7453055531,205896926.075528,-18099303.00457928,-14209748.031088138,315266.77474534209,2051664.3897380724,931319.66444016946
|
||||
5,0,2191169.7453055531,741069367.65622187,-18970615.556932595,-26463769.253140029,31385.388210380795,1084797.75893969,464765.05299046205
|
||||
6,0,2191169.7453055531,1294900291.5741408,-601894442.70103419,-302300824.42123652,334435.97224718379,692066.95444769517,270876.25262683601
|
||||
10,0,2222902.5223428425,-31811.921223032059,-437857.05956900999,-184506.89565301503,808.58258090666664,309.21598126670989,119.12582198111686
|
||||
399,0,2222902.5223428425,-46977710.394847795,127370599.82010448,55439735.525237501,-2480850.5502371769,-761267.3660579148,-331699.55435256142
|
||||
301,399,2222902.5223428425,377774.18447648734,123125.77356898785,66815.591044165194,-31009.989227167614,68310.62396753137,37260.194433984616
|
||||
399,10,2222902.5223428425,-46945898.473624766,127808456.8796735,55624242.420890518,-2481659.1328180833,-761576.58203918161,-331818.68017454253
|
||||
4,0,2222902.5223428425,78525237.33104755,195397281.7189236,87341290.080230415,-1877004.7706001916,792496.74316675356,416756.16362342658
|
||||
5,0,2222902.5223428425,-405506792.52435106,616706161.32620692,274623575.79391831,-979592.07322265918,-495999.84434182767,-188652.35980610672
|
||||
6,0,2222902.5223428425,1054887317.1394116,-944486035.12823963,-433580101.73650342,536020.20070164872,559956.39507466624,208006.51728907338
|
||||
10,0,2237832.9073254745,17274.874995160946,198266.20438364861,92708.483425302591,-797.69720940317825,-38.748273667062229,-2.5063441405931837
|
||||
399,0,2237832.9073254745,67742345.696188971,120439686.35588382,52421706.863086291,-2330818.5846573864,1076176.4576625729,468089.58520350611
|
||||
301,399,2237832.9073254745,-389466.47788223624,-80939.715276628733,-74611.34033356607,19949.183632475524,-74371.267878019091,-33081.600688428807
|
||||
399,10,2237832.9073254745,67725070.821193814,120241420.15150018,52328998.379660986,-2330020.8874479835,1076215.2059362398,468092.09154764673
|
||||
4,0,2237832.9073254745,161298398.46057799,-116237441.82282674,-57861915.90850284,1399421.8697204893,1655046.3517958715,718895.77710493864
|
||||
5,0,2237832.9073254745,15965723.845020093,-719680136.43737435,-309176251.59463125,1117402.0783430669,79148.247016362729,6412.9184276650285
|
||||
6,0,2237832.9073254745,-262641291.04375511,1215521949.018343,511823073.82079452,-867163.15764808271,-163389.15809150602,-30636.6211961872
|
||||
10,0,2243651.4172194409,-612543.77663846279,-272835.18075540283,-104564.27420752516,573.66531568860921,-857.24723507911494,-377.2730765211125
|
||||
399,0,2243651.4172194409,118082179.6347068,81494355.339958385,35483220.750790514,-1588263.3894983626,1879258.9775326706,817604.8724098953
|
||||
301,399,2243651.4172194409,-400358.99508082867,29497.166477665305,4392.3212913870811,-3444.1796453665006,-74328.962029269765,-40334.787624958488
|
||||
399,10,2243651.4172194409,118694723.41134526,81767190.520713791,35587785.024998039,-1588837.0548140511,1880116.2247677497,817982.14548641641
|
||||
4,0,2243651.4172194409,-178296492.98881412,154913689.48416907,76074393.751507685,-1371713.8250774362,-1222106.139690618,-521261.45480805839
|
||||
5,0,2243651.4172194409,549035406.38062036,468528850.15211165,187496448.57818928,-775223.32101531746,804314.68321204628,364188.48712537542
|
||||
6,0,2243651.4172194409,560457514.26709211,-1281846383.6349003,-551821135.75327826,725014.66176911478,299568.57522781764,92725.699703466642
|
||||
10,0,2254293.9172081626,899278.66154223622,718540.70017971541,281049.66639121919,-625.85045935375547,832.79436431692795,378.17313308830251
|
||||
399,0,2254293.9172081626,7170411.2295902967,135517779.24887457,58921814.968575045,-2614682.4303279612,92918.830549306236,40273.987093444593
|
||||
301,399,2254293.9172081626,380511.42355155386,7651.5220775306225,-22303.989354915917,-5616.3460308893264,83204.314382687036,30290.768787730598
|
||||
399,10,2254293.9172081626,6271132.5680480609,134799238.54869485,58640765.302183829,-2614056.5798686077,92086.036184989309,39895.813960356289
|
||||
4,0,2254293.9172081626,119144352.5474879,-154678277.9468779,-74302333.531088635,1811260.4764499622,1255839.6448417746,524411.35774215474
|
||||
5,0,2254293.9172081626,-747495091.18108141,-302156990.4034093,-111246623.36155902,434007.94928596308,-900408.45590670081,-396991.66149795044
|
||||
6,0,2254293.9172081626,477642506.86673558,-1314990718.9624736,-562007619.46510541,741919.03438888607,255266.55163186576,73734.399212020304
|
||||
10,0,2261064.7260303102,78279.925993263925,-309436.61472286488,-142189.29012209762,862.09990338308808,-441.80578720322882,-216.06734809690653
|
||||
399,0,2261064.7260303102,30066741.752402131,-137074691.406288,-59627976.785093144,2480505.2321906392,456405.70612564805,198815.35994236975
|
||||
301,399,2261064.7260303102,206668.07659891248,-324600.82258298993,-129551.26468621194,71782.80924915272,42206.110930854484,10416.677756978685
|
||||
399,10,2261064.7260303102,29988461.826408867,-136765254.79156512,-59485787.494971044,2479643.132287256,456847.51191285125,199031.42729046667
|
||||
4,0,2261064.7260303102,-87974325.519609347,-189256832.16448519,-84271723.576552853,2012800.5341086108,-566319.58366937935,-316493.53339307412
|
||||
5,0,2261064.7260303102,478557890.82745934,532802686.66184503,216803960.96996856,-879112.95465606602,704000.18020278343,323668.91203609551
|
||||
6,0,2261064.7260303102,-1338865088.5012829,350300852.61838943,201075609.78967202,-287665.60691885097,-744235.68245532527,-294455.07648196619
|
||||
10,0,2262317.2403235584,1165687.1981577098,189272.85614616086,40109.297382762554,352.01807493019174,1066.8028742116967,447.02270919003621
|
||||
399,0,2262317.2403235584,39258178.636320405,130690985.75357826,56806022.480646923,-2529667.5479012784,603972.82502993324,262583.42071400472
|
||||
301,399,2262317.2403235584,-153357.85277006775,-297640.9833009094,-124264.70397567004,86033.903907757078,-33086.440453248018,-23889.944223251921
|
||||
399,10,2262317.2403235584,38092491.438162692,130501712.8974321,56765913.183264159,-2530019.5659762085,602906.02215572156,262136.39800481472
|
||||
4,0,2262317.2403235584,-241525888.46378499,-31677011.764772642,-7712189.9726098655,361563.49845678295,-1723178.1549274859,-800200.94449534162
|
||||
5,0,2262317.2403235584,-726831770.318578,312744568.06009227,152052776.8201668,-497161.20061463816,-892748.13348372676,-370783.22377433715
|
||||
6,0,2262317.2403235584,-1319297281.3960383,-592417075.88443005,-188180546.47313049,304997.90800477844,-694585.35204007826,-299114.69789699547
|
||||
10,0,2287908.3421941791,4143.9516225847719,-508536.67761969334,-210540.44099679697,834.11764347571716,318.26445362703174,121.6400068030745
|
||||
399,0,2287908.3421941791,-21953756.194393236,132856552.8964617,57770928.25066182,-2585724.2973605297,-359462.22431590874,-156593.75812690536
|
||||
301,399,2287908.3421941791,-183279.72734864801,322234.80639927089,117508.20022240281,-75671.866680143154,-42825.783475537486,-11654.411327583935
|
||||
399,10,2287908.3421941791,-21957900.146015819,133365089.57408139,57981468.691658616,-2586558.4150040057,-359780.48876953579,-156715.39813370843
|
||||
4,0,2287908.3421941791,21324855.034284212,-195152176.95042789,-90046156.895709589,2169121.9733538395,371110.19101050834,109216.26181886965
|
||||
5,0,2287908.3421941791,-426734681.64347178,605755859.30249131,270348171.97192574,-961288.59246410045,-522202.50345125294,-200400.94405535512
|
||||
6,0,2287908.3421941791,1257204675.3826034,-679694059.92511404,-333569058.46586382,380592.31727740786,666824.27889892866,258648.57462729231
|
||||
10,0,2298029.5066036088,149182.21664803207,762304.2658384369,326880.27929181803,-1028.4615013844229,361.78414598241687,185.22163367148752
|
||||
399,0,2298029.5066036088,149204055.89610764,-17565035.370481946,-7628356.0678320909,297323.63310723199,2331615.3080781614,1013519.3929126936
|
||||
301,399,2298029.5066036088,91424.215324014425,-316199.46040638164,-168365.16250440106,88802.255996855427,18355.481261480385,13010.616232201619
|
||||
399,10,2298029.5066036088,149054873.6794596,-18327339.636320382,-7955236.3471239088,298352.09460861637,2331253.523932179,1013334.171279022
|
||||
4,0,2298029.5066036088,-245536212.94441086,-12847696.632431304,972601.05105793476,186711.45923905601,-1739224.6172007893,-802639.9804357473
|
||||
5,0,2298029.5066036088,-463816049.96891904,-608697436.81549561,-249726458.51609185,909843.44655625778,-540577.57513745583,-254226.77942001953
|
||||
6,0,2298029.5066036088,944010183.63852286,-1054014418.0031654,-474575367.1157136,597436.50193117408,495604.68340246088,178865.41231368008
|
||||
10,0,2327275.1795267262,910007.93583023327,232008.80454877202,63263.281612006467,337.5462780713616,995.27956453483102,417.82716311148369
|
||||
399,0,2327275.1795267262,143647267.50891253,40456719.808969781,17549005.176665574,-797059.61031048745,2249038.2975293007,977176.50684092485
|
||||
301,399,2327275.1795267262,87323.947360634804,365576.11818409711,139966.30951103941,-81553.179509460257,21727.920970028641,1931.7417379628182
|
||||
399,10,2327275.1795267262,142737259.5730823,40224711.004421011,17485741.895053569,-797397.15658855881,2248043.0179647659,976758.67967781343
|
||||
4,0,2327275.1795267262,159049076.4332011,139181059.03282508,59371987.396541491,-1361151.3141347459,1523451.4934614771,736387.40107031842
|
||||
5,0,2327275.1795267262,-714296602.53369629,335339240.3323164,161334263.99374431,-532413.3435945753,-876578.3091100161,-362928.68891950627
|
||||
6,0,2327275.1795267262,-1173435032.4939845,-835478786.27492797,-294479617.65006506,454189.69579373742,-611656.44855240791,-271541.85007022793
|
||||
10,0,2331417.6902572853,-94589.664800175218,-160192.94541794911,-65260.800358124317,659.47029771874793,445.69791172180629,179.59243235338104
|
||||
399,0,2331417.6902572853,-118286261.6833428,81072233.155126333,35218664.19565849,-1586075.4006784488,-1897211.1424093132,-824372.02340222429
|
||||
301,399,2331417.6902572853,140419.12349501252,-309112.10636629164,-170494.26783139259,81128.859121602392,34002.028975589928,17162.027873070998
|
||||
399,10,2331417.6902572853,-118191672.01854262,81232426.100544289,35283924.996016614,-1586734.8709761677,-1897656.8403210351,-824551.61583457759
|
||||
4,0,2331417.6902572853,126980158.65456004,167279108.00660402,73175239.822979823,-1633719.9057955747,1230260.9309102115,609525.40238416276
|
||||
5,0,2331417.6902572853,-590013082.14314902,488487456.87971961,223978044.10941631,-772267.53682600264,-726077.13716345839,-292495.13934535009
|
||||
6,0,2331417.6902572853,1389627952.1570451,-353825591.4134317,-205156888.99221995,185709.42000652538,741915.99945261178,297986.22219268058
|
||||
10,0,2334130.121555666,-1086143.9495426279,-219847.42405115435,-64694.834599984664,186.0312950162558,-1122.1563958897734,-489.85578255806757
|
||||
399,0,2334130.121555666,62820829.598802768,-126766391.76535879,-55035461.96210257,2293837.49019892,982123.11434910516,426894.24898472481
|
||||
301,399,2334130.121555666,273426.79222983122,245900.98786973953,109288.0992680341,-58321.856335629993,63477.33027527442,19113.464594928173
|
||||
399,10,2334130.121555666,63906973.548345394,-126546544.34130764,-54970767.127502583,2293651.4589039041,983245.27074499498,427384.10476728284
|
||||
4,0,2334130.121555666,175549501.89499348,114674710.71187784,47708162.571843922,-1120857.4164402767,1703759.650468349,812401.41925021389
|
||||
5,0,2334130.121555666,740215867.03228176,-29609341.718846321,-30833904.662636369,47224.179923605247,1084578.1187022834,464027.23056967143
|
||||
6,0,2334130.121555666,246782399.50608405,1228075576.6181493,495838623.96276319,-867934.95630151813,127113.87295366528,89428.029663003457
|
||||
10,0,2337320.8779854057,247781.09464800125,760656.66027396917,308356.13918567594,-1071.9904291138287,324.3273707172803,162.7283921881839
|
||||
399,0,2337320.8779854057,-138801010.39377666,-50850045.069251679,-22119195.935322523,921398.61577859218,-2196846.4748548018,-954214.61085856135
|
||||
301,399,2337320.8779854057,272151.9569991231,-210745.41005213559,-127319.14851891994,60040.053521680296,64700.162349085011,26969.98267228539
|
||||
399,10,2337320.8779854057,-139048791.48842466,-51610701.729525648,-22427552.074508198,922470.60620770592,-2197170.802225519,-954377.33925074944
|
||||
4,0,2337320.8779854057,-85314081.823724389,-189163802.14098251,-84400519.477199778,2018114.6429841318,-542730.87917616754,-304923.34053748229
|
||||
5,0,2337320.8779854057,-158585400.07909256,-714866745.87677062,-302732109.07814044,1092285.1377093592,-149090.44838522954,-90709.204233596713
|
||||
6,0,2337320.8779854057,-1394410665.3426485,-343762172.20947623,-82292085.436997533,155832.81411062955,-748735.43897035089,-315395.80726797786
|
||||
10,0,2338572.9299390446,-733978.74922599469,174340.12762066803,80586.478819036391,-26.297224820956512,-938.10202024663579,-399.68916456427877
|
||||
399,0,2338572.9299390446,148328742.56848523,-18217473.162346501,-7899460.913891511,299709.90792849491,2330619.1799540557,1012429.8602783752
|
||||
301,399,2338572.9299390446,-64879.838449984789,-348290.95227034763,-191722.62353033852,82361.999687221381,-14097.69892202246,-6482.097382440872
|
||||
399,10,2338572.9299390446,149062721.31771123,-18391813.289967168,-7980047.3927105479,299736.20515331585,2331557.2819743026,1012829.5494429396
|
||||
4,0,2338572.9299390446,-243196315.97516173,-33795216.106859848,-8763526.9237425346,378590.4975921553,-1721177.4697557397,-799698.84948832018
|
||||
5,0,2338572.9299390446,734325190.73275197,88533822.819950208,19967753.996009607,-149479.07212957929,1077887.043722837,465968.03120230272
|
||||
6,0,2338572.9299390446,-878597702.45175731,-1122927405.4403727,-425589110.66634417,625903.84882303828,-449119.14424768981,-211894.62505268989
|
||||
10,0,2380645.0336247454,756067.31772556435,1073743.4479081845,430337.95234245301,-1149.4669784392886,368.36603909390681,184.27074819553266
|
||||
399,0,2380645.0336247454,75704086.945917279,117856512.54998891,51126537.213543922,-2262098.9623230333,1190487.8040291902,516654.66509534133
|
||||
301,399,2380645.0336247454,-299828.70168225467,-219552.27352672815,-128929.34437176585,53132.336821870857,-64210.071117433443,-23991.509968363192
|
||||
399,10,2380645.0336247454,74948019.62819171,116782769.10208073,50696199.261201471,-2260949.4953445941,1190119.4379900964,516470.39434714586
|
||||
4,0,2380645.0336247454,9529633.8158030659,-195692404.0703823,-90044305.002909184,2172278.8080862262,260994.49578405605,59945.583371684348
|
||||
5,0,2380645.0336247454,-158645039.67992848,-714929520.24199855,-302697851.20587301,1091411.3363159264,-149896.36522988317,-90967.778175578293
|
||||
6,0,2380645.0336247454,-1332301204.026154,-544769054.48355901,-167781299.87718248,281502.22606058459,-708159.28645035345,-304226.06725073088
|
||||
10,0,2398495.5430682423,-813382.8601499541,188163.35546851746,105812.96681874918,-648.36141445616602,-673.44802757218088,-275.78359884720646
|
||||
399,0,2398495.5430682423,145184433.25485334,29920568.879924223,13012814.663183527,-600872.67680765036,2294699.8726837179,995742.15994458925
|
||||
301,399,2398495.5430682423,351789.95705485344,-87761.542996484786,-72508.475399086252,29179.363965001732,79097.81431623979,36890.270257887307
|
||||
399,10,2398495.5430682423,145997816.11500329,29732405.524455704,12907001.696364777,-600224.31539319421,2295373.3207112895,996017.94354343647
|
||||
4,0,2398495.5430682423,-15971621.25117249,-198341345.65587571,-90525510.915965661,2168894.3842597003,51378.882294792988,-35803.659820766472
|
||||
5,0,2398495.5430682423,399383559.21854508,-595874402.78166521,-265249433.49807611,949215.9281622601,599312.10434458393,233780.50733145353
|
||||
6,0,2398495.5430682423,414460115.10808611,1196090909.9417958,475824793.05548024,-840105.60428611003,221792.04683932051,127516.1036228661
|
||||
10,0,2413686.2331876168,839929.70712861617,-325304.9452569905,-164133.91465903239,626.6140324479544,802.5548546481474,329.1255376716656
|
||||
399,0,2413686.2331876168,-100036118.43424186,-103437886.52809952,-44899848.177016854,1873678.759278615,-1585674.8513307958,-687991.70691314165
|
||||
301,399,2413686.2331876168,382001.6778203845,-121636.96141207218,-46586.878627464175,28830.524575587653,68943.067477315402,37890.967236136654
|
||||
399,10,2413686.2331876168,-100876048.14137048,-103112581.58284253,-44735714.262357824,1873052.1452461672,-1586477.406185444,-688320.83245081326
|
||||
4,0,2413686.2331876168,140597850.27959752,-138999543.00265855,-67575742.698410675,1632130.2463554812,1458170.9681136615,624209.71184742101
|
||||
5,0,2413686.2331876168,-550093885.2495054,522437172.25928843,237410074.80718002,-827749.74255101872,-676570.00742913026,-269859.95385139366
|
||||
6,0,2413686.2331876168,-1002254336.39868,-1020244078.454566,-378161864.90899003,567705.40376237791,-516792.92818956164,-237669.47394473862
|
||||
10,0,2419099.8913994296,343914.59964714502,102953.98574393574,49388.08714776572,-460.10294156543392,576.23306505715243,257.25551012919374
|
||||
399,0,2419099.8913994296,-142234653.21965715,37750605.580937952,16378268.991582017,-753831.10094342066,-2277985.8785604178,-988283.2337963013
|
||||
301,399,2419099.8913994296,330465.09498018026,159111.63808003813,59289.255134753883,-42757.621619033402,70686.593698129829,39219.505745768809
|
||||
399,10,2419099.8913994296,-142578567.81930429,37647651.595194019,16328880.904434253,-753370.99800185533,-2278562.1116254744,-988540.48930643057
|
||||
4,0,2419099.8913994296,-25893181.851110358,-198540367.43971843,-90339856.826623246,2158144.2277900358,-42623.871731116851,-78368.766391681827
|
||||
5,0,2419099.8913994296,-652669497.5692457,-450128280.9605698,-177040917.86628282,658593.73067270021,-779832.90717987786,-350410.01211918594
|
||||
6,0,2419099.8913994296,1071344044.18525,816449749.00840116,291058551.28608662,-569745.48851004592,589449.86407574057,267766.5254858589
|
||||
10,0,2449479.6387276892,75081.602514802027,927433.65439988009,397033.6741555616,-814.07678957300607,491.48010129760723,234.713292983439
|
||||
399,0,2449479.6387276892,-103968663.65400779,-99415676.897257879,-43108842.645481184,1822218.973185248,-1636792.4526669548,-709567.20567037025
|
||||
301,399,2449479.6387276892,400410.79394945502,38679.054008454084,46204.845046199858,-9234.9207277465557,78444.329961096752,28309.882753571466
|
||||
399,10,2449479.6387276892,-104043745.2565226,-100343110.55165777,-43505876.319636747,1823033.0499748208,-1637283.9327682527,-709801.91896335362
|
||||
4,0,2449479.6387276892,207439263.78437772,-8027447.6480873972,-9319396.4328955077,201195.08939347428,2065010.675297691,941695.9000382747
|
||||
5,0,2449479.6387276892,-618520429.770805,-488078714.25227875,-194140595.65203217,716248.928536786,-736144.00399833068,-332992.03893947997
|
||||
6,0,2449479.6387276892,1324160760.1721256,-541000271.54681969,-280384061.5361827,302981.18812228832,704328.19487680553,277856.84240588039
|
||||
10,0,2460086.0360979214,-1317265.0220896695,-168207.0967738546,-37970.771917544334,374.54986188902626,-1158.5751704644761,-500.17831157467742
|
||||
399,0,2460086.0360979214,-77223377.710741818,-120359784.78198612,-52139826.254583478,2186475.7564471201,-1194253.8101822049,-517780.99330128281
|
||||
301,399,2460086.0360979214,54316.750983566046,346681.67736046016,179585.28833595663,-84945.188132126903,11871.274013299933,11082.609914700657
|
||||
399,10,2460086.0360979214,-75906112.688652143,-120191577.68521227,-52101855.482665934,2186101.2065852312,-1193095.2350117406,-517280.81498970813
|
||||
4,0,2460086.0360979214,-221319690.26114699,103772447.56349744,53573287.509449326,-901991.76357277448,-1528975.6976025545,-676930.87244392873
|
||||
5,0,2460086.0360979214,669996447.03957152,294411722.22733676,109886170.08994903,-491472.8730021526,984083.60738751781,433773.72708397254
|
||||
6,0,2460086.0360979214,1272808815.3423407,-649265205.93833685,-323001235.68284535,366036.81430117128,674867.13329718367,262988.82292738376
|
||||
10,0,2466525.8732528649,1009515.595290805,144528.37066467578,30470.566633707396,-343.01802979033636,1093.7691457061435,475.5197524746871
|
||||
399,0,2466525.8732528649,-39153517.554650351,129991062.3333901,56312458.075520687,-2518687.9699908067,-653331.74146838963,-283174.54296435753
|
||||
301,399,2466525.8732528649,331499.47501964122,-122602.80725114048,-87467.410212807357,41540.652785733881,75841.261780687273,34592.428464144738
|
||||
399,10,2466525.8732528649,-40163033.149941154,129846533.96272543,56281987.508886978,-2518344.9519610163,-654425.51061409584,-283650.06271683227
|
||||
4,0,2466525.8732528649,27361474.802295696,-194132156.20756927,-89791563.232515037,2155868.4144959594,418548.36627270246,133873.59573340151
|
||||
5,0,2466525.8732528649,-771257438.82232177,-247413066.93508676,-87275103.106291905,348377.46124626382,-931471.97101272224,-407716.74195366749
|
||||
6,0,2466525.8732528649,-1375496306.1974819,-422109912.54968184,-115119330.69852343,205554.84800567714,-733920.28002986975,-312028.15642904805
|
||||
10,0,2527446.1114655072,341554.84867037972,-116408.17788731915,-48015.809729443507,-374.83537313242181,636.80968137536445,279.25657026921868
|
||||
399,0,2527446.1114655072,132534475.31262048,62896629.289431185,27229610.862128798,-1229346.4550616192,2087955.5766267846,904248.70998558379
|
||||
301,399,2527446.1114655072,-188027.32820233703,-285026.91622550786,-121609.55600734055,79587.839328174479,-41430.704113165419,-27208.625601253316
|
||||
399,10,2527446.1114655072,132192920.4639501,63013037.467318505,27277626.67185824,-1228971.6196884867,2087318.7669454094,903969.45341531455
|
||||
4,0,2527446.1114655072,-242895133.00316998,44764800.867718413,26997113.431740779,-361697.07995916106,-1700089.2595502886,-770338.87035991717
|
||||
5,0,2527446.1114655072,-635861159.27323937,-469904173.45267457,-185926505.62821865,688530.03996844962,-758135.08000889269,-341536.10482362541
|
||||
6,0,2527446.1114655072,511590579.41765743,1166992153.0402052,460264212.49570036,-818119.7380957359,276789.24465253181,149885.3463559791
|
||||
10,0,2539199.4973181798,592024.32060003106,-1005741.8103577961,-437183.1763271892,1165.0845016322189,573.9263469779255,212.11040568260833
|
||||
399,0,2539199.4973181798,-7608632.229589262,133830567.80565083,57934820.934509456,-2610969.2518502241,-140905.48236879549,-60805.239254598448
|
||||
301,399,2539199.4973181798,231893.60862087458,-313203.02062146366,-113861.16622678936,68940.23835197759,45797.888114464244,13144.797283163156
|
||||
399,10,2539199.4973181798,-8200656.550189293,134836309.61600864,58372004.110836647,-2612134.3363518561,-141479.40871577343,-61017.349660281056
|
||||
4,0,2539199.4973181798,-224883801.83047602,-83475584.996833116,-32305303.852078564,840301.39894408488,-1599078.6953660585,-755848.51338077849
|
||||
5,0,2539199.4973181798,-424654780.12585855,605068152.71656477,269526922.91174763,-964459.21561168437,-519670.14411181328,-199321.24268936465
|
||||
6,0,2539199.4973181798,-353187776.99472535,1198917973.1387367,511072193.28259313,-850298.46838243701,-217428.17009526156,-52972.183756866303
|
||||
10,0,2544041.2294167071,836939.23356612574,127904.7066080209,30301.431275721901,114.30825669788662,915.08471239820165,392.42154823206732
|
||||
399,0,2544041.2294167071,-147185529.37817705,-17703089.235492367,-7679201.8657867163,293964.92098502954,-2351196.2993864887,-1017733.7076506928
|
||||
301,399,2544041.2294167071,333025.10852622986,146673.79478384554,92972.92839250993,-36822.855028851467,77672.451781815485,29091.357166977916
|
||||
399,10,2544041.2294167071,-148022468.61174318,-17830993.942100387,-7709503.297062438,293850.61272833165,-2352111.384098887,-1018126.1291989248
|
||||
4,0,2544041.2294167071,-188761876.31906784,-131177162.47933044,-55197209.615577817,1332826.6829586106,-1343496.8602285609,-651602.49167420145
|
||||
5,0,2544041.2294167071,-772615620.85085332,214482299.99874818,110585500.222857,-349512.94854648091,-944648.69970725442,-396275.79752662405
|
||||
6,0,2544041.2294167071,-89382091.86380288,-1391221680.9527254,-571370102.64462185,786150.14977697597,-36326.352864520188,-49161.404483834158
|
||||
10,0,2545005.9619791363,319385.20175392111,877942.91924749024,368194.71611340647,-1069.716662382308,401.675769043233,202.71466063053012
|
||||
399,0,2545005.9619791363,85124620.069521204,112114867.35411355,48513874.935304128,-2150814.6796580716,1345824.2695296176,582696.37148067018
|
||||
301,399,2545005.9619791363,-299547.83259084821,233066.03247600794,64227.264827243984,-59453.483863736088,-60122.041800686886,-23900.771888430205
|
||||
399,10,2545005.9619791363,84805234.867767289,111236924.43486606,48145680.219190724,-2149744.9629956898,1345422.5937605745,582493.6568200395
|
||||
4,0,2545005.9619791363,200149892.97587687,64733783.789097987,24382670.542180695,-599970.07709408482,1960364.987691571,915194.18408200378
|
||||
5,0,2545005.9619791363,-450447373.97640067,-617291268.08345711,-253580637.80019099,921541.8236191324,-523020.15076277009,-246382.20232220268
|
||||
6,0,2545005.9619791363,647194370.81544006,-1241289588.8336635,-541362352.71417415,706081.99826455873,340811.06840355211,110258.18498777834
|
||||
10,0,2545457.4552275087,-216875.51076475988,921266.16097223398,401885.89488835738,-1224.5937903664264,-218.11508384274325,-58.919242797562099
|
||||
399,0,2545457.4552275087,-117543965.95133653,83181026.594020009,36016113.870435469,-1605930.6541565589,-1887253.2085273708,-816714.0840450743
|
||||
301,399,2545457.4552275087,303623.85709019005,-249744.16484682262,-79330.969431824982,53740.863216446007,62508.449837572516,21265.81686237577
|
||||
399,10,2545457.4552275087,-117327090.44057177,82259760.433047771,35614227.975547113,-1604706.0603661924,-1887035.0934435281,-816655.16480227676
|
||||
4,0,2545457.4552275087,-121932447.93835436,-177008697.33207026,-78010357.328283727,1849018.2667936047,-827463.23217431956,-428457.41654404736
|
||||
5,0,2545457.4552275087,24505785.822398536,-719934036.08775759,-309048081.01980096,1114166.2503302167,91840.492003860811,12395.290705216226
|
||||
6,0,2545457.4552275087,943428177.7094574,-1051853116.0896277,-475897640.12044114,599177.72765812813,494636.08718891814,178503.35703357929
|
||||
10,0,2564512.9509296902,92588.650049497825,-21544.878419444809,-23554.097978756956,779.34457102535089,-300.70433197816413,-146.22791393974893
|
||||
399,0,2564512.9509296902,-136331793.30465278,-57280184.499361426,-24789454.223661128,1030633.4642513982,-2157283.8611461432,-933531.71639816626
|
||||
301,399,2564512.9509296902,-245854.54511743784,276146.42089901119,89853.187449268997,-70144.922940808232,-48034.711470503906,-26288.512093775069
|
||||
399,10,2564512.9509296902,-136424381.95470229,-57258639.620941982,-24765900.125682373,1029854.1196803729,-2156983.1568141649,-933385.48848422652
|
||||
4,0,2564512.9509296902,-225480327.17596674,94012196.917026773,49049414.341530509,-813403.49847555568,-1566623.8133742164,-697341.43204445869
|
||||
5,0,2564512.9509296902,319134167.652551,629155049.62078691,261814553.73676038,-1036836.7703212504,480791.96678278135,231034.32401582089
|
||||
6,0,2564512.9509296902,-853792122.41202283,-1138190776.1766675,-433590552.65281051,636006.88819036423,-436382.37860707246,-208153.93158309485
|
||||
10,0,2600234.2858049506,405397.52789709473,-268861.83801738103,-114295.33026414778,446.77407682631787,649.72400914242542,271.33493747298496
|
||||
399,0,2600234.2858049506,-95931557.078252971,102102232.33966252,44167315.820800424,-1989599.3385787597,-1553404.6186732196,-671536.5811326619
|
||||
301,399,2600234.2858049506,72063.034038886428,-376469.71021702886,-127081.61511419713,82576.961661738693,16556.821373176059,3362.4945734509365
|
||||
399,10,2600234.2858049506,-96336954.606150061,102371094.1776799,44281611.151064575,-1990046.1126555863,-1554054.3426823623,-671807.91607013484
|
||||
4,0,2600234.2858049506,-223997872.20275286,96040256.458059236,49921857.763252765,-835924.1809246355,-1556175.3824534079,-692237.78385204403
|
||||
5,0,2600234.2858049506,-715665191.72008276,332077733.58802575,159515390.73134491,-530296.74607639317,-879218.87692007201,-363818.06647567393
|
||||
6,0,2600234.2858049506,1365403321.4300685,-446548844.08135045,-244335290.75738522,243322.21896344356,723502.6966429872,288734.10638411768
|
||||
10,0,2608979.7969310419,756781.86520504975,100301.52636178937,19600.144660814145,195.43894887097014,847.26630652381289,362.2784095882659
|
||||
399,0,2608979.7969310419,-49123059.83593642,127157436.22002214,54964997.194116227,-2463190.1628198191,-810471.75377386727,-350129.81833870069
|
||||
301,399,2608979.7969310419,254916.75632757694,-221714.92567959428,-129237.59380484372,66271.138759831403,62221.051281405445,23957.054181329939
|
||||
399,10,2608979.7969310419,-49879841.701141469,127057134.69366035,54945397.049455412,-2463385.6017686902,-811319.0200803912,-350492.09674828895
|
||||
4,0,2608979.7969310419,88324400.646115124,189962859.89884046,84857433.214827508,-1855245.8369787289,887002.08173089416,455199.76973324217
|
||||
5,0,2608979.7969310419,-754836537.79344773,258426118.55497602,128886430.73282503,-417211.49627477449,-923558.45485388895,-385533.32287878386
|
||||
6,0,2608979.7969310419,208462280.84809926,-1376263257.3282206,-578572837.71794045,779741.66800624598,114062.05230632138,13160.269201257768
|
||||
10,0,2615533.9554745653,-178489.59800731501,16062.266476812571,4998.6098161895743,-219.05202912071508,-770.16973643549989,-330.48072810000679
|
||||
399,0,2615533.9554745653,2454286.1852386938,135124842.05837277,58418887.898823611,-2615808.8306244784,31447.129660463983,14016.498783887189
|
||||
301,399,2615533.9554745653,5637.1029513622634,-340188.21498626471,-156856.7331180945,90568.534520848974,7978.6441950346598,-5249.1309059334053
|
||||
399,10,2615533.9554745653,2632775.7832460087,135108779.79189596,58413889.289007425,-2615589.7785953577,32217.299396899482,14346.979511987196
|
||||
4,0,2615533.9554745653,-113590194.58340576,-181738805.5960173,-80446487.597750336,1891123.5615050513,-760037.08313260879,-397805.64315851784
|
||||
5,0,2615533.9554745653,687369892.49725759,-262281522.23530549,-128918045.61183235,427331.49013432645,1008937.6214926401,421843.16115539538
|
||||
6,0,2615533.9554745653,-1072841297.5604942,769685004.01460826,365350000.41551155,-563563.86045030993,-617701.66089311009,-231013.15705332524
|
||||
10,0,2635917.1527230339,257961.02770900208,395197.70261086046,164597.41248240109,-597.83804233350986,565.3393571275767,251.02433053376186
|
||||
399,0,2635917.1527230339,142808353.91453663,41546258.665558517,17930682.584758177,-814579.99929867638,2244154.5583349871,970118.96741961536
|
||||
301,399,2635917.1527230339,137373.96139597893,-339164.90022586286,-169793.43649566546,77819.00755605771,30064.546108347349,6502.4070448540788
|
||||
399,10,2635917.1527230339,142550392.88682762,41151060.962947659,17766085.172275778,-813982.16125634278,2243589.2189778597,969867.94308908156
|
||||
4,0,2635917.1527230339,-179892060.68048704,152877025.85960108,74783873.368933886,-1363219.0527400698,-1232247.978216996,-530234.90086710348
|
||||
5,0,2635917.1527230339,-512266198.42846155,-579213800.82084858,-235727648.99719551,859170.36080465605,-600385.78724378848,-277831.18600096786
|
||||
6,0,2635917.1527230339,-215527212.04651374,1227757534.1516883,517620350.32652283,-868594.17564871931,-141728.50887645304,-20691.848342505051
|
||||
10,0,2642390.5360429501,-1029235.8973237275,-336380.53689267271,-118875.61264126579,739.01563205183243,-793.98261354027488,-352.22908242407124
|
||||
399,0,2642390.5360429501,24663522.191442408,-137902888.62901181,-59572178.427150428,2495416.0155577632,388687.43634846021,167710.47510053124
|
||||
301,399,2642390.5360429501,-11065.7749697119,-373625.68672391772,-158730.23926307261,83566.995136054698,536.23958567766579,-8193.4524846218465
|
||||
399,10,2642390.5360429501,25692758.088766135,-137566508.09211913,-59453302.814509161,2494676.9999257112,389481.4189620004,168062.70418295532
|
||||
4,0,2642390.5360429501,19742742.759206221,-196140005.66824147,-90499901.865443602,2157057.623310972,368633.96643440175,113559.50776009531
|
||||
5,0,2642390.5360429501,422077691.01269501,571088319.98130131,234422851.38652307,-945416.49608351791,627229.19001237338,291384.32328029582
|
||||
6,0,2642390.5360429501,990883103.13520777,-1011931147.2500703,-462259622.18641692,576727.13610682974,517519.1740159638,188989.05749064338
|
||||
10,0,2649688.0114172399,-10973.093632877803,527612.43741151167,219209.7211009037,-1027.9709362111455,-241.24498361653275,-79.494056158407233
|
||||
399,0,2649688.0114172399,6430164.4737134753,-138881820.92212266,-60020420.532043539,2528450.6188950595,89645.156596132467,38437.39843066199
|
||||
301,399,2649688.0114172399,231603.12556655984,-273817.37268388271,-151967.06545255333,72571.807245051023,46213.81390494894,15301.245393264726
|
||||
399,10,2649688.0114172399,6441137.5673463531,-139409433.35953417,-60239630.253144443,2529478.5898312707,89886.401579748999,38516.892486820398
|
||||
4,0,2649688.0114172399,-216670992.70713976,109999648.21559718,56026990.336129099,-960899.69312555261,-1499380.4267490641,-663277.13852080156
|
||||
5,0,2649688.0114172399,297637437.54009432,-651358114.03983021,-286118125.06313449,1025935.597094204,459489.79417449085,172088.51381872428
|
||||
6,0,2649688.0114172399,-1303093872.8889651,-600984287.81563747,-191780064.07773927,317238.16619482578,-695554.91744519176,-301836.56827944884
|
||||
10,0,2700824.4628194338,331151.2804885598,197186.14983151684,76825.779257340546,-525.10627875576063,685.61053579906707,300.41261757022517
|
||||
399,0,2700824.4628194338,8231575.6674397774,-139161294.91459486,-60089125.178318746,2529027.6584768291,114536.53810581991,48895.420960990239
|
||||
301,399,2700824.4628194338,-374663.515338175,10758.773753970861,-26262.369229525328,-5017.4160009013685,-84107.187349356536,-31834.088365868043
|
||||
399,10,2700824.4628194338,7900424.3869512174,-139358481.06442636,-60165950.957576089,2529552.7647555848,113850.92757002084,48595.008343420013
|
||||
4,0,2700824.4628194338,104131033.45526709,-165403855.1614227,-78553795.221109524,1891216.1762117397,1123976.0841787448,467738.83513275615
|
||||
5,0,2700824.4628194338,-576700717.69105506,-529832006.11069691,-212989329.45346567,778950.79744882917,-680741.87415629672,-310165.42132240703
|
||||
6,0,2700824.4628194338,-494491760.65895081,1157071698.3857672,501054724.70388138,-819591.29354779795,-300372.91524002643,-88470.68821904737
|
||||
10,0,2711543.1667099777,-461854.25943179138,-1043042.4069318279,-430286.85477289982,996.6364647260159,-711.59292211588206,-333.5159379073433
|
||||
399,0,2711543.1667099777,120961399.29489869,77817039.46052669,33584753.641164802,-1526907.079927068,1917823.9777629334,828137.92833275627
|
||||
301,399,2711543.1667099777,152005.17981147766,-299295.63725988567,-166781.79879388586,84442.598584644569,29736.025592515467,11676.008427150839
|
||||
399,10,2711543.1667099777,121423253.55433048,78860081.867458522,34015040.495937705,-1527903.7163917939,1918535.5706850493,828471.44427066355
|
||||
4,0,2711543.1667099777,-237986100.8536658,65396740.303940028,36075171.203499012,-563743.13587951986,-1652515.7462323804,-744060.5450461203
|
||||
5,0,2711543.1667099777,564059959.89112532,447815755.93097049,178187669.43175572,-748628.49790223874,831686.25963101897,374036.70908793813
|
||||
6,0,2711543.1667099777,-460787709.6893537,1167580429.372082,503969374.42997319,-827939.27650321124,-281349.40033029392,-80199.546869382029
|
||||
10,0,2712215.8356112055,372982.40465777344,-1196232.9581941136,-519531.87932943774,1294.0285233877216,294.83068148122385,90.056465785886004
|
||||
399,0,2712215.8356112055,140907674.05312273,-52012400.866029859,-22483867.882688854,904383.85878020106,2189500.1243210291,944958.4864603926
|
||||
301,399,2712215.8356112055,-348199.96341067553,183864.77723930776,94433.62742363289,-41861.872570208776,-63929.071170824558,-35465.161334266682
|
||||
399,10,2712215.8356112055,140534691.64846495,-50816167.907835744,-21964336.003359415,903089.83025681332,2189205.2936395477,944868.42999460676
|
||||
4,0,2712215.8356112055,-227553954.84300566,88416632.583437324,46374784.188201025,-776716.4305632161,-1579768.3321870398,-705321.73898399423
|
||||
5,0,2712215.8356112055,-130499886.62386407,697335487.41221964,301684891.75219548,-1127591.499962443,-136309.60302587211,-31293.936323100115
|
||||
6,0,2712215.8356112055,-960407413.87181592,880513876.38730574,406981779.02026373,-636151.41240509704,-558141.16695132991,-203295.3245185822
|
||||
10,0,2725309.45320648,709091.53140688105,-440068.37662564928,-212490.35408248092,894.00146178408011,450.51738465008879,170.74555694873791
|
||||
399,0,2725309.45320648,40601999.041450851,-135145931.06814885,-58353481.338623077,2442997.9720001589,610969.85424073157,263182.68902857299
|
||||
301,399,2725309.45320648,-247753.72570178658,-261481.53720170259,-132086.96970115602,71165.29169588731,-45355.148478182404,-26455.765350949183
|
||||
399,10,2725309.45320648,39892907.510043971,-134705862.69152319,-58140990.984540597,2442103.970538375,610519.3368560815,263011.94347162422
|
||||
4,0,2725309.45320648,-246427762.5185186,20676792.122279793,15713432.627840398,-147275.26796392648,-1726203.5681825976,-788489.20511612529
|
||||
5,0,2725309.45320648,-237668146.48416796,678062825.14058065,295961572.6818561,-1089995.9103968637,-277241.53328875994,-92529.007711734477
|
||||
6,0,2725309.45320648,-1195513700.2337928,-786345045.76910031,-273333692.28833246,432977.38083647052,-632380.59364796197,-281105.10950867058
|
||||
10,0,2745392.846049882,-62615.297146284029,458152.72708088398,187560.33895600017,-529.23066772368588,-638.3164679535497,-265.04610713062584
|
||||
399,0,2745392.846049882,25750123.318370849,-137109815.71406034,-59166053.839187533,2494163.5962896477,390538.22829901107,167950.26587566419
|
||||
301,399,2745392.846049882,-70498.59513413161,-351508.32470929623,-178856.9412188679,84050.947732894041,-9112.7430943959407,-9553.4421642329526
|
||||
399,10,2745392.846049882,25812738.615517132,-137567968.44114122,-59353614.178143531,2494692.8269573711,391176.54476696457,168215.31198279484
|
||||
4,0,2745392.846049882,-75065969.99329856,-193592586.42468992,-86986759.414347216,2042391.7829828099,-446225.44528710115,-256032.1160433655
|
||||
5,0,2745392.846049882,626684592.21555567,-375604817.51297569,-175800842.60094872,607341.3926233711,921328.60198079923,379791.83979316906
|
||||
6,0,2745392.846049882,-1359601587.6215639,272166403.19865072,172670635.8878448,-231718.52519419254,-759966.50039688393,-304852.54400395852
|
||||
10,0,2774164.9606293491,448088.15840350912,-257791.99332652127,-107723.65267647651,-159.61715948365793,729.88457171715743,315.16708849041089
|
||||
399,0,2774164.9606293491,-140673890.28485256,-46177246.73052939,-19868953.756420221,817921.17510828236,-2237738.0868936959,-965232.26823120075
|
||||
301,399,2774164.9606293491,110414.62703517079,-332634.50232607871,-157867.01349444315,82333.594595852395,24863.998907889072,18679.103740099941
|
||||
399,10,2774164.9606293491,-141121978.44325608,-45919454.737202868,-19761230.103743743,818080.79226776608,-2238467.971465413,-965547.4353196912
|
||||
4,0,2774164.9606293491,-207311338.94758445,-112079356.04996613,-46254017.329790264,1119961.3592328541,-1465485.8538510173,-700510.13054519997
|
||||
5,0,2774164.9606293491,-762462565.25658274,-274847729.0026747,-99359721.299222812,387437.39980796317,-916921.88418233173,-401686.66957800038
|
||||
6,0,2774164.9606293491,1068257536.3366171,831040464.8123672,297539121.38924152,-572920.91490529943,580248.0495470009,265901.41996473819
|
||||
10,0,2790474.4587943852,757927.94421332434,-231315.39868980288,-126581.36674878166,740.64517388558716,609.08720491771476,244.58883023595885
|
||||
399,0,2790474.4587943852,47878699.519051813,128205703.79251131,55226019.905343294,-2479683.3842284335,744323.39801153191,321596.11743143015
|
||||
301,399,2790474.4587943852,-3523.0689736306667,-374677.83940377831,-125254.74451130629,86303.619071969384,2839.0666928581027,-1155.725634187884
|
||||
399,10,2790474.4587943852,47120771.574838489,128437019.19120112,55352601.272092074,-2480424.0294023193,743714.31080661411,321351.52860119421
|
||||
4,0,2790474.4587943852,-161188760.85381597,166764531.7281113,80533337.997066066,-1508924.6720310452,-1097065.5143238239,-466117.88377359248
|
||||
5,0,2790474.4587943852,-416969905.11767596,609292570.29630947,270686050.30951369,-972888.74867964198,-509259.58501910313,-194657.45059444063
|
||||
6,0,2790474.4587943852,-857050015.56909716,-1125692602.650573,-429134731.57915747,637004.26670721371,-442480.02181193873,-211694.1151886952
|
||||
10,0,3220882.2318521156,705416.8487658751,1112759.4760429095,446561.9351762397,-1081.7953491407343,628.52387553169183,295.82780570882113
|
||||
399,0,3220882.2318521156,-131600426.273826,-63714222.365568921,-27181987.919335734,1171390.0323369175,-2100744.7657913165,-900361.64265116374
|
||||
301,399,3220882.2318521156,287190.25853562355,204623.0590602383,88096.893050741404,-58679.44702403916,63242.674760293587,36499.494879429825
|
||||
399,10,3220882.2318521156,-132305843.12259188,-64826981.841611832,-27628549.854511973,1172471.8276860581,-2101373.2896668483,-900657.4704568726
|
||||
4,0,3220882.2318521156,127145929.47647579,-150416860.94788399,-71880153.395914376,1721679.9195421906,1335376.4408867529,575377.78740930685
|
||||
5,0,3220882.2318521156,-456373166.14974523,-616980280.776636,-252714114.49773023,912826.91283776076,-528810.26906156889,-247163.07552614264
|
||||
6,0,3220882.2318521156,-807066814.99702883,-1149338172.0408068,-443060640.4493888,657331.49981390988,-420322.85171357793,-205244.77834561619
|
||||
10,0,3522038.5148897273,110056.50484767664,-16613.006591152425,-19447.686801002634,787.88873079710515,-286.48651847621261,-137.19824613784144
|
||||
399,0,3522038.5148897273,133370206.05783606,62183357.141661592,26278764.118446916,-1200103.2453972441,2097299.0520725865,895123.93705909874
|
||||
301,399,3522038.5148897273,-17986.898892328143,-362193.04711612314,-161391.26644778624,84665.290674686039,-10145.092773908584,3519.1984598343424
|
||||
399,10,3522038.5148897273,133260149.55298838,62199970.148252748,26298211.805247918,-1200891.1341280411,2097585.5385910627,895261.13530523656
|
||||
4,0,3522038.5148897273,-39243030.689604692,209140429.64275125,96750182.783643201,-2024869.7930933982,-156551.4218204731,-31834.887610838785
|
||||
5,0,3522038.5148897273,293802376.47452813,635561851.78699481,264033414.70368987,-1060401.0486543966,450508.7366668178,216627.58475300754
|
||||
6,0,3522038.5148897273,-870310584.33829212,-1096696388.618474,-419762219.56776369,633792.15333532926,-459073.05057237478,-221580.23992920638
|
||||
10,0,3559348.6398703274,-548790.68918734929,286262.45392846817,146291.80013305493,-888.91812682720854,-372.71458541429809,-139.95395225597872
|
||||
399,0,3559348.6398703274,22784175.547997218,134430140.36742711,57221032.469525471,-2577702.5437567816,358732.66890176706,156701.31035158594
|
||||
301,399,3559348.6398703274,-179549.35987118632,325993.16425362229,149832.28890164942,-76535.775792740926,-35811.31441832093,-6914.8322999860638
|
||||
399,10,3559348.6398703274,23332966.237184566,134143877.91349864,57074740.669392414,-2576813.6256299545,359105.38348718133,156841.26430384192
|
||||
4,0,3559348.6398703274,-238430127.76609886,-62182142.675967455,-23884235.127862602,602288.64283137128,-1648839.0980139873,-768416.8006487767
|
||||
5,0,3559348.6398703274,93810257.110855103,-717385317.4362396,-307843204.99194074,1099259.7751216677,183831.95541153956,52832.085259415224
|
||||
6,0,3559348.6398703274,1182609672.4668341,722421180.54068661,248569149.56536657,-486909.41428985522,628044.16177704884,285831.20012196462
|
||||
10,0,3646878.6329298224,-749698.73736538005,22932.115104886343,27282.345596787658,93.692316364403382,-1065.5398277262204,-462.3818418687257
|
||||
399,0,3646878.6329298224,100089905.20911871,-104278072.45385405,-44497069.720660977,1887596.754755832,1558470.1129182847,659350.66471412824
|
||||
301,399,3646878.6329298224,362817.0748629272,30083.633481830359,-11490.14750187844,-3344.3878684526567,88014.438177131742,30138.084702202203
|
||||
399,10,3646878.6329298224,100839603.94648409,-104301004.56895894,-44524352.066257767,1887503.0624394675,1559535.6527460108,659813.04655599699
|
||||
4,0,3646878.6329298224,201623010.72873473,-33318180.405505005,-19091381.770639636,422803.35758950189,2053333.5251773715,934225.30486937752
|
||||
5,0,3646878.6329298224,735502629.55407512,-75308693.02887772,-49112512.037197709,113012.78495476655,1083356.4840918905,458786.67616147263
|
||||
6,0,3646878.6329298224,157037376.96542469,1257651465.2747264,520879183.92768192,-863104.83766322699,61024.265517823391,65417.880292777198
|
||||
10,0,3685691.7969500911,-861300.68953968037,351869.11709532182,174039.09387760653,-557.13603267194731,-1101.4842451308225,-451.4108318655139
|
||||
399,0,3685691.7969500911,104006229.83662674,97522347.68894279,41268466.139579229,-1862154.5735088601,1653700.0251794613,706085.1583323126
|
||||
301,399,3685691.7969500911,-332502.78835575283,-194372.69736206532,-103434.5827480033,49121.873954649163,-66799.957533849403,-21188.888950975143
|
||||
399,10,3685691.7969500911,104867530.52616642,97170478.571847469,41094427.045701623,-1861597.4374761879,1654801.5094245921,706536.5691641781
|
||||
4,0,3685691.7969500911,-246297246.48052597,41101818.998038232,23436025.872868404,-360263.37872430758,-1692749.607083021,-769914.00774753653
|
||||
5,0,3685691.7969500911,687174047.86679399,-262914130.87896961,-127856526.14426911,419271.66748449643,1011129.3816468153,420829.09163305222
|
||||
6,0,3685691.7969500911,814629057.17884731,-1136012401.2208102,-514945980.95201999,663726.4006903281,418249.04894464283,145133.12098811727
|
||||
10,0,3834580.5701606283,272121.94564087683,-56.618389920962727,-14677.089291653141,718.20269088086309,482.92855738713718,193.61096311684383
|
||||
399,0,3834580.5701606283,9677326.1669106279,-139358633.26135755,-59117744.375900045,2535317.7431928939,133500.90947394067,50983.194704818176
|
||||
301,399,3834580.5701606283,322472.32114823349,151287.07283136249,97818.239416882396,-43695.888397809264,75342.076161025543,28755.431035040714
|
||||
399,10,3834580.5701606283,9405204.221269751,-139358576.64296761,-59103067.286608391,2534599.5405020132,133017.98091655353,50789.583741701332
|
||||
4,0,3834580.5701606283,29516095.384629518,203706099.97997683,92900516.91818732,-2049868.1870130436,415844.78661446413,226667.14325408835
|
||||
5,0,3834580.5701606283,-371200085.35698694,627660660.21616507,275552739.2545166,-1017293.8578416235,-451944.25969808834,-168779.90464435017
|
||||
6,0,3834580.5701606283,-507658683.27496737,-1277452240.2328758,-514585155.63071573,750671.6282941422,-266367.20192498312,-147012.10059947686
|
||||
10,0,3910956.9868338462,-823352.60858663369,490566.91939699929,231245.27904739059,-653.29376559545597,-987.25368986948058,-398.67024979475588
|
||||
399,0,3910956.9868338462,96325284.770029023,-106783928.10711445,-45431995.074282996,1942068.0538848715,1503359.0934856324,631825.10601398477
|
||||
301,399,3910956.9868338462,-371632.0856950134,-41567.144876942039,-18264.739269733429,13175.107528721002,-85340.008891380843,-27427.286465473204
|
||||
399,10,3910956.9868338462,97148637.378615662,-107274495.02651145,-45663240.353330389,1942721.347650467,1504346.347175502,632223.77626377961
|
||||
4,0,3910956.9868338462,-193357361.18872902,138419750.19079736,66749778.316729128,-1281215.4629124489,-1316389.4258152,-581799.86757568538
|
||||
5,0,3910956.9868338462,671788294.6619041,-299853309.26521522,-142972153.54205498,475988.33237460459,986190.30174423137,408380.35906515794
|
||||
6,0,3910956.9868338462,343420180.64587504,-1325383717.8671291,-574855251.42316818,779387.15365075762,177938.25150005514,38821.473902110672
|
||||
10,0,4365292.1955561377,-470374.2744229791,719087.26395662525,320974.87432991189,-1008.5554868662208,-487.0203112786117,-183.64967498500494
|
||||
399,0,4365292.1955561377,-5750755.8401075527,-138739515.2606073,-58329470.302606203,2538700.1776225176,-96168.255539441321,-50063.812880695114
|
||||
301,399,4365292.1955561377,-243764.10760402028,-298089.83240705729,-128006.42416021228,66667.136080273616,-49133.028098025243,-12662.460558734794
|
||||
399,10,4365292.1955561377,-5280381.5656845737,-139458602.52456394,-58650445.176936112,2539708.7331093843,-95681.23522816271,-49880.163205710109
|
||||
4,0,4365292.1955561377,-76559620.544616058,-199719487.22411439,-90369076.555136099,1982576.3446111742,-426385.9889402978,-222358.75762053896
|
||||
5,0,4365292.1955561377,182541035.42921939,-702097613.83341956,-301890822.59975803,1068779.2520816161,302366.42139532743,103613.76622325028
|
||||
6,0,4365292.1955561377,1456873485.2846169,33833994.359257981,-53476710.24123054,-29364.095312228514,749910.36466922332,319878.90951038041
|
||||
10,0,4463509.6345559489,639504.67060380266,-590639.79318482406,-255308.714329521,337.85074212211907,832.51658640487756,340.94897714311895
|
||||
399,0,4463509.6345559489,-90608047.768275201,-110874952.9112087,-46217868.76097665,2014780.522994169,-1452693.1890121682,-618495.60598176473
|
||||
301,399,4463509.6345559489,-362781.14446261525,10094.23956592381,40846.71286958456,-3364.0845679902441,-84539.849233664165,-38129.234658447291
|
||||
399,10,4463509.6345559489,-91247552.438878998,-110284313.11802389,-45962560.046647131,2014442.6722520471,-1453525.705598573,-618836.55495890789
|
||||
4,0,4463509.6345559489,-114968253.74590702,-189421257.1374996,-85126135.027471319,1828903.1487474276,-732030.5240922462,-358727.11019392632
|
||||
5,0,4463509.6345559489,-809346194.34945035,64826353.12935394,46094099.236987948,-137489.75002276772,-984921.15119858074,-414195.04978393327
|
||||
6,0,4463509.6345559489,986281932.7473886,953654197.24144268,359736542.11237872,-620872.80976204283,507632.53366210917,244891.31186404263
|
||||
10,0,4751511.2397211073,-1278750.4926174963,496098.03276931861,250535.50718434656,-536.74401684777592,-1178.3893216467079,-484.12407730399491
|
||||
399,0,4751511.2397211073,101158078.0482174,100659938.92773394,41652031.146709815,-1900858.6012568541,1608766.0190202908,682868.52102462621
|
||||
301,399,4751511.2397211073,-217888.51695020497,-250589.93884703517,-133041.22438909113,74101.887946953982,-56325.203597452477,-19409.344885480819
|
||||
399,10,4751511.2397211073,102436828.5408349,100163840.89496462,41401495.639525466,-1900321.8572400063,1609944.4083419375,683352.64510193013
|
||||
4,0,4751511.2397211073,173930387.85539088,-102606239.04772317,-48747151.470482536,1130625.6138269848,1788251.7112173592,804166.9911084004
|
||||
5,0,4751511.2397211073,684770744.50092375,-273367029.58197844,-131425566.09753555,425193.59897124337,1006172.0457672633,415798.55149978586
|
||||
6,0,4751511.2397211073,1213120755.735692,-745148971.79660988,-374763263.34684646,451727.17128783627,622565.34559361369,245042.74254368604
|
||||
10,0,4836805.5100452611,646160.01533393026,898467.49851627753,373476.73622960848,-972.99975365246075,561.2671002800937,263.65117268101028
|
||||
399,0,4836805.5100452611,-82575890.962881774,-114750134.24058118,-47527007.7198359,2113739.7911811168,-1327325.8525787718,-566239.19191721221
|
||||
301,399,4836805.5100452611,-402155.54529306293,1885.0866488218307,42435.933481320739,-2821.6779986591064,-77381.229878840517,-31802.026990421127
|
||||
399,10,4836805.5100452611,-83222050.978215709,-115648601.73909746,-47900484.456065506,2114712.790934769,-1327887.1196790517,-566502.84308989323
|
||||
4,0,4836805.5100452611,169464054.64476943,112264292.64707901,49443175.507166527,-1242163.035353398,1729950.8117033236,802265.87650657562
|
||||
5,0,4836805.5100452611,-565420673.10670328,-551200605.52353716,-219982708.5710074,784528.31695648807,-660029.57833945099,-297163.11511526589
|
||||
6,0,4836805.5100452611,766622704.27409041,-1139498209.7470298,-523092481.01549476,692558.16035834036,395590.08065576403,137090.35458151219
|
||||
10,0,5068732.0711162677,19759.105967778785,-1078942.3415830047,-464503.99274743145,1176.342698814386,-323.72504105309946,-166.79642805755026
|
||||
399,0,5068732.0711162677,-105286780.42409669,-99728462.699190646,-40928112.502778672,1806285.4610295116,-1684448.0395283443,-713564.38401092531
|
||||
301,399,5068732.0711162677,59486.241197779775,361505.9684292078,174887.50090330839,-82687.210992255728,7942.0264184957887,10462.228980136808
|
||||
399,10,5068732.0711162677,-105306539.53006446,-98649520.357607648,-40463608.510031238,1805109.1183306973,-1684124.3144872913,-713397.58758286771
|
||||
4,0,5068732.0711162677,-127010563.11985897,-187575532.2808592,-84301907.109550267,1755079.4423116748,-812883.81732467737,-385531.8344932078
|
||||
5,0,5068732.0711162677,340585519.16016114,606363667.78401947,248084703.0578481,-1036177.7135462891,521316.01795226993,244164.95776344181
|
||||
6,0,5068732.0711162677,-1070545138.4277253,788559457.47666681,387919578.88665009,-543310.5874553062,-619354.33147116797,-240875.91829927298
|
||||
10,0,5113926.4576401599,854767.93400613242,614094.04534067481,237352.59922297261,-710.04915282154991,942.94605792769676,418.97025374472969
|
||||
399,0,5113926.4576401599,-89796110.63870123,107981215.8489171,45552490.783726625,-2058009.9968769827,-1480411.3970171621,-603602.8961995882
|
||||
301,399,5113926.4576401599,-279628.51858134568,254850.43192119896,87815.91144477576,-58379.281437255107,-63076.772211217954,-18480.713162779135
|
||||
399,10,5113926.4576401599,-90650878.57270737,107367121.80357642,45315138.184503652,-2057299.9477241612,-1481354.3430750896,-604021.86645333294
|
||||
4,0,5113926.4576401599,-247460203.20961854,24666852.381610889,13271222.264282024,-257319.7562977038,-1707187.9148789735,-775130.22432834352
|
||||
5,0,5113926.4576401599,-677494336.7458601,-433903246.67988849,-167390901.73140791,603727.88849768543,-803099.71704461752,-352988.18109985162
|
||||
6,0,5113926.4576401599,-1146308434.5083432,-779755748.28337586,-282225950.6534313,473385.7972441407,-629623.09217070509,-292360.65799079748
|
||||
|
@@ -0,0 +1,17 @@
|
||||
package planet
|
||||
|
||||
import (
|
||||
"b612.me/astro/internal/ephem"
|
||||
"b612.me/astro/planet/internal/semianalytic"
|
||||
)
|
||||
|
||||
func init() {
|
||||
ephem.RegisterModelEngine(ephem.Semianalytic, func() ephem.Engine { return semianalytic.Ephemeris{} })
|
||||
}
|
||||
|
||||
func semianalyticActive() bool { return ephem.Active() == ephem.Semianalytic }
|
||||
|
||||
// semiPlanet 与 WherePlanetN 同语义，调用方已做越界检查。
|
||||
func semiPlanet(xt, zn int, jde float64, n int) float64 { return semianalytic.Planet(xt, zn, jde, n) }
|
||||
|
||||
func semiMoon(coord int, jde float64, n int) float64 { return semianalytic.Moon(coord, jde, n) }
|
||||
+132
File diff suppressed because one or more lines are too long
@@ -0,0 +1,11 @@
|
||||
package planet
|
||||
|
||||
import "b612.me/astro/internal/ephem"
|
||||
|
||||
// WhereMoonModelN 按指定模型计算月球几何量 / evaluate lunar geometry with an explicit model.
|
||||
func WhereMoonModelN(model ephem.Model, coordIndex int, jd float64, n int) float64 {
|
||||
if model == ephem.Semianalytic && coordIndex >= 0 && coordIndex <= 2 {
|
||||
return semiMoon(coordIndex, jd, n)
|
||||
}
|
||||
return elpMoonN(coordIndex, jd, n)
|
||||
}
|
||||
+11
-5
@@ -1,11 +1,12 @@
|
||||
package planet
|
||||
|
||||
import (
|
||||
"b612.me/astro/internal/ephem"
|
||||
. "b612.me/astro/tools"
|
||||
"math"
|
||||
)
|
||||
|
||||
// WherePlanet 天体 xt 在儒略日 jde 的 VSOP 结果 / VSOP result for body xt at Julian day jde.
|
||||
// WherePlanet 天体 xt 在儒略日 jde 的历元平黄道几何量，按当前星历模型求值 / geometric position of body xt of date under the active ephemeris model.
|
||||
//
|
||||
// xt 取 -1 或 0..7：0 为地球，1..7 依次为水星、金星、火星、木星、土星、天王星、海王星；-1 表示地球，zn 取 0 时给日心黄经。
|
||||
// zn 取 0 黄经、1 黄纬、2 日心距（AU）；xt 或 zn 越界返回 NaN 而不 panic。
|
||||
@@ -15,14 +16,19 @@ func WherePlanet(xt, zn int, jde float64) float64 {
|
||||
return WherePlanetN(xt, zn, jde, -1)
|
||||
}
|
||||
|
||||
// WherePlanetN 同 WherePlanet 的截断版 / truncated form of WherePlanet.
|
||||
//
|
||||
// n < 0 时使用全部项；否则保留约 n 个主项并按比例缩短高阶项。取值域与越界行为同 WherePlanet。
|
||||
// When n < 0 all terms are used; otherwise roughly n principal terms are kept and higher orders scaled proportionally. Domain and out-of-range behavior match WherePlanet.
|
||||
// WherePlanetN WherePlanet 的 n 变体；n < 0 取完整级数，半解析模型下 n >= 0 用快速表，Legacy 按 n 截断 / n-parameterised WherePlanet.
|
||||
func WherePlanetN(xt, zn int, jde float64, n int) float64 {
|
||||
return WherePlanetModelN(ephem.Active(), xt, zn, jde, n)
|
||||
}
|
||||
|
||||
// WherePlanetModelN 按指定模型计算行星几何量 / evaluate planetary geometry with an explicit model.
|
||||
func WherePlanetModelN(model ephem.Model, xt, zn int, jde float64, n int) float64 {
|
||||
if xt < -1 || xt > 7 || zn < 0 || zn > 2 {
|
||||
return math.NaN()
|
||||
}
|
||||
if model == ephem.Semianalytic {
|
||||
return semiPlanet(xt, zn, jde, n)
|
||||
}
|
||||
|
||||
sata := 0
|
||||
if xt == -1 {
|
||||
|
||||
@@ -3,6 +3,8 @@ package planet
|
||||
import (
|
||||
"math"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephemtest"
|
||||
)
|
||||
|
||||
func TestPlanetViewsMatchRawCuts(t *testing.T) {
|
||||
@@ -80,6 +82,7 @@ func assertWherePlanetNaN(t *testing.T, xt, zn int, jd float64) {
|
||||
}
|
||||
|
||||
func TestWherePlanetGoldenValues(t *testing.T) {
|
||||
ephemtest.PinLegacy(t)
|
||||
jd := 2451545.0
|
||||
cases := []struct {
|
||||
xt, zn int
|
||||
|
||||
@@ -0,0 +1,141 @@
|
||||
// 被测契约：半解析模型在 1800–2200 年与旧级数相差不超过旧级数自身误差量级；n ≥ 0 走快速档且不劣于旧级数 n=16；越界返回 NaN，切回后逐位还原。
|
||||
package planet
|
||||
|
||||
import (
|
||||
"math"
|
||||
"strconv"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
|
||||
"b612.me/astro/internal/ephemtest"
|
||||
)
|
||||
|
||||
func useSemianalytic(t testing.TB) {
|
||||
prev := ephem.Active()
|
||||
ephem.SetActive(ephem.Semianalytic)
|
||||
t.Cleanup(func() { ephem.SetActive(prev) })
|
||||
}
|
||||
|
||||
func angleDiffArcsec(a, b float64) float64 {
|
||||
return math.Abs(math.Mod(a-b+540, 360)-180) * 3600
|
||||
}
|
||||
|
||||
type lbrDeg struct{ l, b, r float64 }
|
||||
|
||||
func sampleAll(jds []float64) map[[2]int]lbrDeg {
|
||||
out := map[[2]int]lbrDeg{}
|
||||
for i, jd := range jds {
|
||||
for xt := -1; xt <= 7; xt++ {
|
||||
out[[2]int{xt, i}] = lbrDeg{WherePlanet(xt, 0, jd), WherePlanet(xt, 1, jd), WherePlanet(xt, 2, jd)}
|
||||
}
|
||||
out[[2]int{-9, i}] = lbrDeg{
|
||||
math.Mod(WhereMoon(0, jd)*180/math.Pi, 360), WhereMoon(1, jd) * 180 / math.Pi, WhereMoon(2, jd),
|
||||
}
|
||||
}
|
||||
return out
|
||||
}
|
||||
|
||||
func TestSemianalyticNearLegacyModernEra(t *testing.T) {
|
||||
var jds []float64
|
||||
for jd := 2378496.5; jd <= 2524593.5; jd += 1461.37 {
|
||||
jds = append(jds, jd)
|
||||
}
|
||||
ephemtest.PinLegacy(t)
|
||||
legacy := sampleAll(jds)
|
||||
useSemianalytic(t)
|
||||
semi := sampleAll(jds)
|
||||
// 角秒；距离 AU（行星）或 km（月球，-9）。
|
||||
tolA := map[int]float64{-1: 0.5, 0: 0.5, 1: 1, 2: 1, 3: 2, 4: 2, 5: 3, 6: 6, 7: 10, -9: 10}
|
||||
tolR := map[int]float64{-1: 2e-7, 0: 2e-7, 1: 2e-7, 2: 3e-7, 3: 1e-6, 4: 4e-6, 5: 1e-5, 6: 2e-4, 7: 2e-4, -9: 5}
|
||||
worst := map[int][3]float64{}
|
||||
for k, want := range legacy {
|
||||
got := semi[k]
|
||||
w := worst[k[0]]
|
||||
w[0] = math.Max(w[0], angleDiffArcsec(got.l, want.l)*math.Cos(want.b*math.Pi/180))
|
||||
w[1] = math.Max(w[1], math.Abs(got.b-want.b)*3600)
|
||||
w[2] = math.Max(w[2], math.Abs(got.r-want.r))
|
||||
worst[k[0]] = w
|
||||
}
|
||||
for xt, w := range worst {
|
||||
t.Logf("xt %d: max ΔL %.3f″ ΔB %.3f″ ΔR %.3g", xt, w[0], w[1], w[2])
|
||||
if w[0] > tolA[xt] || w[1] > tolA[xt] || w[2] > tolR[xt] {
|
||||
t.Errorf("xt %d differs from legacy beyond expected truncation error", xt)
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
func TestSemianalyticDomainAndRestore(t *testing.T) {
|
||||
ephemtest.PinLegacy(t)
|
||||
jd := 2460000.5
|
||||
before := WherePlanetN(3, 0, jd, 16)
|
||||
moonBefore := WhereMoonN(0, jd, 8)
|
||||
useSemianalytic(t)
|
||||
for _, c := range [][2]int{{-2, 0}, {8, 0}, {0, -1}, {0, 3}} {
|
||||
if v := WherePlanet(c[0], c[1], jd); !math.IsNaN(v) {
|
||||
t.Errorf("xt %d zn %d: want NaN, got %v", c[0], c[1], v)
|
||||
}
|
||||
}
|
||||
if WherePlanetN(3, 0, jd, 16) != WherePlanetN(3, 0, jd, 8) || WhereMoonN(0, jd, 16) != WhereMoonN(0, jd, 0) {
|
||||
t.Error("every n >= 0 must use the same fast tier")
|
||||
}
|
||||
if WherePlanetN(3, 0, jd, 16) == WherePlanetN(3, 0, jd, -1) {
|
||||
t.Error("n >= 0 did not switch to the fast tier")
|
||||
}
|
||||
ephem.SetActive(ephem.Legacy)
|
||||
if WherePlanetN(3, 0, jd, 16) != before || WhereMoonN(0, jd, 8) != moonBefore {
|
||||
t.Error("switching back did not restore legacy values bit for bit")
|
||||
}
|
||||
}
|
||||
|
||||
// 快速档相对全表的最大差（角秒；月球另有 km），全表本身对 DE441 已在 0.02″ 内。
|
||||
func TestSemianalyticFastTierNearFull(t *testing.T) {
|
||||
useSemianalytic(t)
|
||||
var worst [9]float64
|
||||
worstKM := 0.0
|
||||
for jd := -1931455.0; jd <= 5373545.0; jd += 3652.5 * 7.3 {
|
||||
for xt := 0; xt <= 7; xt++ {
|
||||
d := angleDiffArcsec(WherePlanetN(xt, 0, jd, 0), WherePlanetN(xt, 0, jd, -1))*math.Cos(WherePlanetN(xt, 1, jd, -1)*math.Pi/180) +
|
||||
math.Abs(WherePlanetN(xt, 1, jd, 0)-WherePlanetN(xt, 1, jd, -1))*3600
|
||||
worst[xt] = math.Max(worst[xt], d)
|
||||
}
|
||||
ml := angleDiffArcsec(WhereMoonN(0, jd, 0)*180/math.Pi, WhereMoonN(0, jd, -1)*180/math.Pi) +
|
||||
math.Abs(WhereMoonN(1, jd, 0)-WhereMoonN(1, jd, -1))*206264.806
|
||||
worst[8] = math.Max(worst[8], ml)
|
||||
worstKM = math.Max(worstKM, math.Abs(WhereMoonN(2, jd, 0)-WhereMoonN(2, jd, -1)))
|
||||
}
|
||||
limits := [9]float64{2, 0.6, 1, 8, 15, 60, 75, 20, 60}
|
||||
for i, w := range worst {
|
||||
t.Logf("slot %d: max %.2f″", i, w)
|
||||
if w > limits[i] {
|
||||
t.Errorf("slot %d: fast tier differs from full table by %.2f″ (limit %.0f″)", i, w, limits[i])
|
||||
}
|
||||
}
|
||||
if worstKM > 20 {
|
||||
t.Errorf("moon distance: fast tier differs by %.1f km", worstKM)
|
||||
}
|
||||
}
|
||||
|
||||
func BenchmarkWherePlanetSemianalytic(b *testing.B) {
|
||||
useSemianalytic(b)
|
||||
for _, n := range []int{-1, 16} {
|
||||
n := n
|
||||
b.Run("n="+strconv.Itoa(n), func(b *testing.B) {
|
||||
for xt := 0; xt <= 7; xt++ {
|
||||
xt := xt
|
||||
b.Run(strconv.Itoa(xt), func(b *testing.B) {
|
||||
for i := 0; i < b.N; i++ {
|
||||
jd := 2451545.0 + float64(i%7300)*100
|
||||
_ = WherePlanetN(xt, 0, jd, n) + WherePlanetN(xt, 1, jd, n) + WherePlanetN(xt, 2, jd, n)
|
||||
}
|
||||
})
|
||||
}
|
||||
b.Run("moon", func(b *testing.B) {
|
||||
for i := 0; i < b.N; i++ {
|
||||
jd := 2451545.0 + float64(i%7300)*10.3
|
||||
_ = WhereMoonN(0, jd, n) + WhereMoonN(1, jd, n) + WhereMoonN(2, jd, n)
|
||||
}
|
||||
})
|
||||
})
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,45 @@
|
||||
package spk
|
||||
|
||||
import (
|
||||
"math"
|
||||
"os"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
"b612.me/astro/planet/internal/semianalytic"
|
||||
)
|
||||
|
||||
// SPK 只给几何状态，实例应走通用矢量视位置链；与按 DE441 拟合的内置表相比只剩表的拟合误差。
|
||||
func TestSPKInstanceApparentMatchesSemianalytic(t *testing.T) {
|
||||
path := de441Path()
|
||||
if _, err := os.Stat(path); err != nil {
|
||||
t.Skip("DE441 file not available; set ASTRO_DE441_BSP")
|
||||
}
|
||||
file, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer file.Close()
|
||||
inst := ephem.NewInstance(file)
|
||||
worst := 0.0
|
||||
for _, jd := range []float64{2451545.0, 2460409.25, 2470000.5} {
|
||||
for _, b := range []ephem.Body{ephem.Sun, ephem.Moon, ephem.Mercury, ephem.Venus, ephem.Mars, ephem.Jupiter, ephem.Saturn, ephem.Uranus, ephem.Neptune} {
|
||||
got, gd, _, err := inst.Apparent(b, jd)
|
||||
if err != nil {
|
||||
t.Fatalf("jd %.1f body %d: %v", jd, b, err)
|
||||
}
|
||||
want, wd, _, err := semianalytic.Ephemeris{}.Apparent(b, jd)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
c := got[0]*want[0] + got[1]*want[1] + got[2]*want[2]
|
||||
arcsec := math.Acos(math.Min(1, c)) * 206264.806
|
||||
worst = math.Max(worst, arcsec)
|
||||
// 内置表的几何距离取自快速档，外行星可差数万千米。
|
||||
if arcsec > 1.5 || math.Abs(gd-wd)/wd > 5e-5 {
|
||||
t.Errorf("jd %.1f body %d: %.4f\" dist rel %.2e", jd, b, arcsec, (gd-wd)/wd)
|
||||
}
|
||||
}
|
||||
}
|
||||
t.Logf("worst %.4f\"", worst)
|
||||
}
|
||||
@@ -0,0 +1,84 @@
|
||||
// 被测契约：畸形阶数与非有限系数报 ErrInvalidFile 而不是 panic 或返回 NaN；无关段的覆盖缺口不阻断有效路径。
|
||||
package spk
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
"math"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
func type21Record(maxdim, kqmax1, kq int) []float64 {
|
||||
record := make([]float64, 4*maxdim+12)
|
||||
record[0] = float64(maxdim)
|
||||
for index := 0; index < maxdim; index++ {
|
||||
record[2+index] = 1
|
||||
}
|
||||
record[4*maxdim+8] = float64(kqmax1)
|
||||
for component := 0; component < 3; component++ {
|
||||
record[4*maxdim+9+component] = float64(kq)
|
||||
}
|
||||
return record
|
||||
}
|
||||
|
||||
func TestType21RejectsInconsistentOrders(t *testing.T) {
|
||||
cases := []struct{ maxdim, kqmax1, kq int }{
|
||||
{15, 3, 15},
|
||||
{15, 27, 1},
|
||||
{15, 17, 1},
|
||||
{15, 5, 5},
|
||||
}
|
||||
for _, c := range cases {
|
||||
_, _, err := evaluateType21(0, type21Record(c.maxdim, c.kqmax1, c.kq))
|
||||
if !errors.Is(err, ErrInvalidFile) {
|
||||
t.Errorf("maxdim=%d kqmax1=%d kq=%d: err = %v, want %v", c.maxdim, c.kqmax1, c.kq, err, ErrInvalidFile)
|
||||
}
|
||||
}
|
||||
if _, _, err := evaluateType21(0, type21Record(15, 16, 15)); err != nil {
|
||||
t.Errorf("maximal valid orders: err = %v", err)
|
||||
}
|
||||
}
|
||||
|
||||
func TestType21RejectsNonFiniteRecord(t *testing.T) {
|
||||
record := type21Record(15, 3, 1)
|
||||
record[15+2] = math.NaN()
|
||||
if _, _, err := evaluateType21(0, record); !errors.Is(err, ErrInvalidFile) {
|
||||
t.Errorf("err = %v, want %v", err, ErrInvalidFile)
|
||||
}
|
||||
}
|
||||
|
||||
func TestType2RejectsNonFiniteCoefficient(t *testing.T) {
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE",
|
||||
testSPKSegment{target: Mars, center: Sun, frame: 1, typ: 2, start: 0, end: 10, words: type2Words(0, 10, []float64{5, 5, math.NaN(), 20, 30})},
|
||||
)
|
||||
file, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer file.Close()
|
||||
if _, _, err := file.State(Mars, Sun, spkJ2000+5/spkSecondsDay); !errors.Is(err, ErrInvalidFile) {
|
||||
t.Errorf("err = %v, want %v", err, ErrInvalidFile)
|
||||
}
|
||||
}
|
||||
|
||||
func TestUnrelatedSegmentCoverageDoesNotBlockDirectPath(t *testing.T) {
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE",
|
||||
testSPKSegment{target: Mars, center: Sun, frame: 1, typ: 2, start: 0, end: 10, words: type2Words(0, 10, []float64{5, 5, 10, 20, 30})},
|
||||
testSPKSegment{target: Sun, center: SSB, frame: 1, typ: 2, start: 100, end: 110, words: type2Words(100, 10, []float64{105, 5, 1, 2, 3})},
|
||||
)
|
||||
file, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer file.Close()
|
||||
pos, _, err := file.State(Mars, Sun, spkJ2000+5/spkSecondsDay)
|
||||
if err != nil {
|
||||
t.Fatalf("Mars→Sun err = %v", err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{10, 20, 30})
|
||||
if _, _, err := file.State(Mars, SSB, spkJ2000+5/spkSecondsDay); err != ephem.ErrOutOfRange {
|
||||
t.Errorf("Mars→SSB err = %v, want %v", err, ephem.ErrOutOfRange)
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,844 @@
|
||||
package spk
|
||||
|
||||
import (
|
||||
"encoding/binary"
|
||||
"errors"
|
||||
"fmt"
|
||||
"math"
|
||||
"os"
|
||||
"sync"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
const (
|
||||
dafRecordBytes = 1024
|
||||
dafFileHeadSize = 1024
|
||||
dafND = 2
|
||||
dafNI = 6
|
||||
dafSummaryWords = dafND + (dafNI+1)/2
|
||||
dafSummaryBytes = dafSummaryWords * 8
|
||||
dafHeaderWords = 3
|
||||
dafWordBytes = 8
|
||||
spkJ2000 = 2451545.0
|
||||
spkSecondsDay = 86400.0
|
||||
spkCacheRecords = 16
|
||||
)
|
||||
|
||||
var (
|
||||
// ErrInvalidFile 无效 SPK 文件 / invalid SPK file.
|
||||
ErrInvalidFile = errors.New("spk: invalid DAF/SPK file")
|
||||
// ErrUnsupportedFrame 不支持的参考框架 / unsupported reference frame.
|
||||
ErrUnsupportedFrame = errors.New("spk: unsupported reference frame")
|
||||
// ErrUnsupportedType 不支持的段类型 / unsupported segment type.
|
||||
ErrUnsupportedType = errors.New("spk: unsupported SPK data type")
|
||||
// ErrClosed 文件已关闭 / file is closed.
|
||||
ErrClosed = errors.New("spk: file is closed")
|
||||
errInvalidDAF = ErrInvalidFile
|
||||
errClosed = ErrClosed
|
||||
)
|
||||
|
||||
// Body NAIF 天体编号 / NAIF body identifier.
|
||||
type Body = ephem.Body
|
||||
|
||||
const (
|
||||
// SSB 太阳系质心 / solar-system barycenter.
|
||||
SSB = ephem.SSB
|
||||
// Mercury 水星 / Mercury.
|
||||
Mercury = ephem.Mercury
|
||||
// Venus 金星 / Venus.
|
||||
Venus = ephem.Venus
|
||||
// EMB 地月质心 / Earth-Moon barycenter.
|
||||
EMB = ephem.EMB
|
||||
// Mars 火星 / Mars.
|
||||
Mars = ephem.Mars
|
||||
// Jupiter 木星 / Jupiter.
|
||||
Jupiter = ephem.Jupiter
|
||||
// Saturn 土星 / Saturn.
|
||||
Saturn = ephem.Saturn
|
||||
// Uranus 天王星 / Uranus.
|
||||
Uranus = ephem.Uranus
|
||||
// Neptune 海王星 / Neptune.
|
||||
Neptune = ephem.Neptune
|
||||
// Sun 太阳 / the Sun.
|
||||
Sun = ephem.Sun
|
||||
// Moon 月球 / the Moon.
|
||||
Moon = ephem.Moon
|
||||
// Earth 地球 / Earth.
|
||||
Earth = ephem.Earth
|
||||
)
|
||||
|
||||
// Segment 描述一个支持的 SPK 段 / describes a supported SPK segment.
|
||||
type Segment struct {
|
||||
Target Body
|
||||
Center Body
|
||||
Frame int
|
||||
Type int
|
||||
Start float64
|
||||
End float64
|
||||
}
|
||||
|
||||
type summarySegment struct {
|
||||
target Body
|
||||
center Body
|
||||
frame int
|
||||
dataType int
|
||||
startET float64
|
||||
endET float64
|
||||
startWord int64
|
||||
endWord int64
|
||||
initET float64
|
||||
interval float64
|
||||
recordSize int
|
||||
records int
|
||||
maxDim int
|
||||
distanceScale float64
|
||||
timeScale float64
|
||||
initJD float64
|
||||
initFR float64
|
||||
epochStartWord int64
|
||||
directoryCount int
|
||||
cacheMu sync.Mutex
|
||||
cache map[int][]float64
|
||||
cacheOrder []int
|
||||
owner *File
|
||||
}
|
||||
|
||||
// File 只读 SPK 文件 / read-only SPK file.
|
||||
type File struct {
|
||||
mu sync.RWMutex
|
||||
file *os.File
|
||||
order binary.ByteOrder
|
||||
segments []*summarySegment
|
||||
known map[Body]bool
|
||||
closed bool
|
||||
size int64
|
||||
}
|
||||
|
||||
// Open 打开并解析 SPK 文件 / opens and indexes an SPK file.
|
||||
func Open(path string) (*File, error) {
|
||||
f, err := os.Open(path)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
spk := &File{file: f, known: make(map[Body]bool)}
|
||||
stat, err := f.Stat()
|
||||
if err != nil {
|
||||
_ = f.Close()
|
||||
return nil, err
|
||||
}
|
||||
spk.size = stat.Size()
|
||||
if err := spk.index(); err != nil {
|
||||
_ = f.Close()
|
||||
return nil, err
|
||||
}
|
||||
return spk, nil
|
||||
}
|
||||
|
||||
// Load Open 的别名 / alias for Open.
|
||||
func Load(path string) (*File, error) { return Open(path) }
|
||||
|
||||
// Close 关闭文件 / closes the file.
|
||||
func (s *File) Close() error {
|
||||
s.mu.Lock()
|
||||
defer s.mu.Unlock()
|
||||
if s.closed {
|
||||
return nil
|
||||
}
|
||||
s.closed = true
|
||||
return s.file.Close()
|
||||
}
|
||||
|
||||
// Segments 返回支持段的快照 / returns a snapshot of supported segments.
|
||||
func (s *File) Segments() []Segment {
|
||||
s.mu.RLock()
|
||||
defer s.mu.RUnlock()
|
||||
result := make([]Segment, 0, len(s.segments))
|
||||
for _, segment := range s.segments {
|
||||
result = append(result, Segment{
|
||||
Target: segment.target,
|
||||
Center: segment.center,
|
||||
Frame: segment.frame,
|
||||
Type: segment.dataType,
|
||||
Start: spkJ2000 + segment.startET/spkSecondsDay,
|
||||
End: spkJ2000 + segment.endET/spkSecondsDay,
|
||||
})
|
||||
}
|
||||
return result
|
||||
}
|
||||
|
||||
// Coverage 返回天体覆盖的 TDB 儒略日范围 / returns the body's TDB Julian-date coverage.
|
||||
func (s *File) Coverage(target Body) (start, end float64, ok bool) {
|
||||
s.mu.RLock()
|
||||
defer s.mu.RUnlock()
|
||||
if s.closed {
|
||||
return 0, 0, false
|
||||
}
|
||||
for _, segment := range s.segments {
|
||||
if segment.target != target || segment.frame != 1 {
|
||||
continue
|
||||
}
|
||||
segmentStart := spkJ2000 + segment.startET/spkSecondsDay
|
||||
segmentEnd := spkJ2000 + segment.endET/spkSecondsDay
|
||||
if !ok || segmentStart < start {
|
||||
start = segmentStart
|
||||
}
|
||||
if !ok || segmentEnd > end {
|
||||
end = segmentEnd
|
||||
}
|
||||
ok = true
|
||||
}
|
||||
return start, end, ok
|
||||
}
|
||||
|
||||
// Bodies 返回文件中出现的天体编号 / returns body identifiers present in the file.
|
||||
func (s *File) Bodies() []Body {
|
||||
s.mu.RLock()
|
||||
defer s.mu.RUnlock()
|
||||
if s.closed {
|
||||
return nil
|
||||
}
|
||||
result := make([]Body, 0, len(s.known))
|
||||
for body := range s.known {
|
||||
result = append(result, body)
|
||||
}
|
||||
return result
|
||||
}
|
||||
|
||||
// State 返回目标相对中心的 ICRF 状态，速度为 km/日 / returns an ICRF state, with velocity in km/day.
|
||||
func (s *File) State(target, center Body, jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
s.mu.RLock()
|
||||
defer s.mu.RUnlock()
|
||||
if s.closed {
|
||||
return pos, vel, errClosed
|
||||
}
|
||||
if math.IsNaN(jdTDB) || math.IsInf(jdTDB, 0) {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
if target == center {
|
||||
return pos, vel, nil
|
||||
}
|
||||
return s.composeState(target, center, jdTDB)
|
||||
}
|
||||
|
||||
func (s *File) index() error {
|
||||
header := make([]byte, dafFileHeadSize)
|
||||
if _, err := s.file.ReadAt(header, 0); err != nil {
|
||||
return err
|
||||
}
|
||||
if string(header[:8]) != "DAF/SPK " {
|
||||
return errInvalidDAF
|
||||
}
|
||||
order, err := byteOrderFor(string(header[88:96]))
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
s.order = order
|
||||
if int32Value(s.order, header, 8) != dafND || int32Value(s.order, header, 12) != dafNI {
|
||||
return fmt.Errorf("%w: ND/NI must be 2/6", errInvalidDAF)
|
||||
}
|
||||
first := int(int32Value(s.order, header, 76))
|
||||
last := int(int32Value(s.order, header, 80))
|
||||
if first < 2 || last < 2 || int64(first)*dafRecordBytes > s.size || int64(last)*dafRecordBytes > s.size {
|
||||
return fmt.Errorf("%w: invalid summary record range", errInvalidDAF)
|
||||
}
|
||||
seen := make(map[int]bool)
|
||||
previous := 0
|
||||
supported := 0
|
||||
for record := first; record != 0; {
|
||||
if seen[record] {
|
||||
return fmt.Errorf("%w: cyclic summary record chain", errInvalidDAF)
|
||||
}
|
||||
seen[record] = true
|
||||
data, err := s.readRecord(record)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
nextValue := float64Value(s.order, data[0:8])
|
||||
previousValue := float64Value(s.order, data[8:16])
|
||||
countValue := float64Value(s.order, data[16:24])
|
||||
if !validInteger(nextValue, 0, s.size/dafRecordBytes) || previousValue != float64(previous) || !validInteger(countValue, 0, (dafRecordBytes-24)/dafSummaryBytes) {
|
||||
return fmt.Errorf("%w: invalid summary controls", errInvalidDAF)
|
||||
}
|
||||
next, count := int(nextValue), int(countValue)
|
||||
if next == 0 && record != last {
|
||||
return fmt.Errorf("%w: final summary disagrees with backward pointer", errInvalidDAF)
|
||||
}
|
||||
for index := 0; index < count; index++ {
|
||||
base := dafHeaderWords*8 + index*dafSummaryBytes
|
||||
segment, err := s.parseSummary(data[base : base+dafSummaryBytes])
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
if segment.frame == 1 && (segment.dataType == 2 || segment.dataType == 3 || segment.dataType == 20 || segment.dataType == 21) {
|
||||
if err := segment.loadMeta(s); err != nil {
|
||||
return err
|
||||
}
|
||||
supported++
|
||||
} else {
|
||||
continue
|
||||
}
|
||||
s.segments = append(s.segments, segment)
|
||||
s.known[segment.target] = true
|
||||
s.known[segment.center] = true
|
||||
}
|
||||
previous, record = record, next
|
||||
}
|
||||
if supported == 0 {
|
||||
return fmt.Errorf("%w: no supported J2000 segments", errInvalidDAF)
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func (s *File) parseSummary(data []byte) (*summarySegment, error) {
|
||||
if len(data) != dafSummaryBytes {
|
||||
return nil, errInvalidDAF
|
||||
}
|
||||
segment := &summarySegment{
|
||||
startET: float64Value(s.order, data[0:8]),
|
||||
endET: float64Value(s.order, data[8:16]),
|
||||
target: Body(int32Value(s.order, data, 16)),
|
||||
center: Body(int32Value(s.order, data, 20)),
|
||||
frame: int(int32Value(s.order, data, 24)),
|
||||
dataType: int(int32Value(s.order, data, 28)),
|
||||
startWord: int64(int32Value(s.order, data, 32)),
|
||||
endWord: int64(int32Value(s.order, data, 36)),
|
||||
cache: make(map[int][]float64),
|
||||
owner: s,
|
||||
}
|
||||
if !finite(segment.startET) || !finite(segment.endET) || segment.endET < segment.startET || segment.startWord < 1 || segment.endWord < segment.startWord || segment.endWord > s.size/dafWordBytes {
|
||||
return nil, fmt.Errorf("%w: invalid segment summary", errInvalidDAF)
|
||||
}
|
||||
return segment, nil
|
||||
}
|
||||
|
||||
func (segment *summarySegment) loadMeta(s *File) error {
|
||||
if segment.endWord-segment.startWord+1 < 4 {
|
||||
return fmt.Errorf("%w: segment trailer is missing", errInvalidDAF)
|
||||
}
|
||||
if segment.dataType == 20 {
|
||||
trailer, err := s.readWords(segment.endWord-6, 7)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
if !finitePositive(trailer[0]) || !finitePositive(trailer[1]) || !finite(trailer[2]) || math.Abs(trailer[3]) >= 1 || !finitePositive(trailer[4]) || !validInteger(trailer[5], 6, segment.endWord-segment.startWord) || !validInteger(trailer[6], 1, segment.endWord-segment.startWord) {
|
||||
return fmt.Errorf("%w: invalid type 20 trailer", errInvalidDAF)
|
||||
}
|
||||
segment.distanceScale = trailer[0]
|
||||
segment.timeScale = trailer[1]
|
||||
segment.initJD = trailer[2]
|
||||
segment.initFR = trailer[3]
|
||||
segment.interval = trailer[4]
|
||||
segment.recordSize = int(trailer[5])
|
||||
segment.records = int(trailer[6])
|
||||
wordCount := segment.endWord - segment.startWord - 6
|
||||
if int64(segment.recordSize)*int64(segment.records) != wordCount || segment.recordSize < 6 || segment.recordSize%3 != 0 {
|
||||
return fmt.Errorf("%w: invalid type 20 record size", errInvalidDAF)
|
||||
}
|
||||
return nil
|
||||
}
|
||||
if segment.dataType == 21 {
|
||||
trailer, err := s.readWords(segment.endWord-1, 2)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
if !validInteger(trailer[0], 1, 25) || !validInteger(trailer[1], 1, segment.endWord-segment.startWord) {
|
||||
return fmt.Errorf("%w: invalid type 21 trailer", errInvalidDAF)
|
||||
}
|
||||
segment.maxDim = int(trailer[0])
|
||||
segment.recordSize = 4*segment.maxDim + 11
|
||||
segment.records = int(trailer[1])
|
||||
segment.epochStartWord = segment.startWord + int64(segment.recordSize*segment.records)
|
||||
segment.directoryCount = segment.records / 100
|
||||
wordCount := segment.endWord - segment.startWord + 1
|
||||
want := int64(segment.recordSize*segment.records + segment.records + segment.directoryCount + 2)
|
||||
if want != wordCount {
|
||||
return fmt.Errorf("%w: invalid type 21 segment size", errInvalidDAF)
|
||||
}
|
||||
return nil
|
||||
}
|
||||
trailerWords := segment.endWord - 3
|
||||
trailer, err := s.readWords(trailerWords, 4)
|
||||
if err != nil {
|
||||
return err
|
||||
}
|
||||
segment.initET = trailer[0]
|
||||
segment.interval = trailer[1]
|
||||
wordCount := segment.endWord - segment.startWord - 3
|
||||
if !finite(segment.initET) || !finitePositive(segment.interval) || !validInteger(trailer[2], 5, wordCount) || !validInteger(trailer[3], 1, wordCount) {
|
||||
return fmt.Errorf("%w: invalid type %d trailer", errInvalidDAF, segment.dataType)
|
||||
}
|
||||
segment.recordSize = int(trailer[2])
|
||||
segment.records = int(trailer[3])
|
||||
if int64(segment.recordSize)*int64(segment.records) != wordCount {
|
||||
return fmt.Errorf("%w: invalid type %d trailer", errInvalidDAF, segment.dataType)
|
||||
}
|
||||
components := 3
|
||||
if segment.dataType == 3 {
|
||||
components = 6
|
||||
}
|
||||
if (segment.recordSize-2)%components != 0 || (segment.recordSize-2)/components < 1 {
|
||||
return fmt.Errorf("%w: invalid type %d record size %d", errInvalidDAF, segment.dataType, segment.recordSize)
|
||||
}
|
||||
return nil
|
||||
}
|
||||
|
||||
func chosenSegment(segment *summarySegment) (*summarySegment, error) {
|
||||
if segment == nil {
|
||||
return nil, ephem.ErrOutOfRange
|
||||
}
|
||||
if segment.frame != 1 {
|
||||
return nil, ErrUnsupportedFrame
|
||||
}
|
||||
if segment.dataType != 2 && segment.dataType != 3 && segment.dataType != 20 && segment.dataType != 21 {
|
||||
return nil, ErrUnsupportedType
|
||||
}
|
||||
return segment, nil
|
||||
}
|
||||
|
||||
type stateEdge struct {
|
||||
to Body
|
||||
segment *summarySegment
|
||||
reverse bool
|
||||
}
|
||||
|
||||
func (s *File) composeState(target, center Body, jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
if !s.known[target] || !s.known[center] {
|
||||
return pos, vel, ephem.ErrUnsupportedBody
|
||||
}
|
||||
// 一次倒序扫描求出每个目标在 jdTDB 处覆盖它的最后一段，后加载的段优先。
|
||||
chosen := make(map[Body]*summarySegment)
|
||||
for index := len(s.segments) - 1; index >= 0; index-- {
|
||||
segment := s.segments[index]
|
||||
if _, ok := chosen[segment.target]; ok {
|
||||
continue
|
||||
}
|
||||
if jdTDB >= spkJ2000+segment.startET/spkSecondsDay && jdTDB <= spkJ2000+segment.endET/spkSecondsDay {
|
||||
chosen[segment.target] = segment
|
||||
}
|
||||
}
|
||||
graph := make(map[Body][]stateEdge)
|
||||
selected := make(map[Body]bool)
|
||||
for index := len(s.segments) - 1; index >= 0; index-- {
|
||||
segment := s.segments[index]
|
||||
if selected[segment.target] {
|
||||
continue
|
||||
}
|
||||
current, selectErr := chosenSegment(chosen[segment.target])
|
||||
if selectErr != nil {
|
||||
// 覆盖缺口留到 BFS 结束再报：别的路径仍可能连通。
|
||||
if selectErr != ephem.ErrOutOfRange && (segment.target == target || segment.target == center) {
|
||||
return pos, vel, selectErr
|
||||
}
|
||||
continue
|
||||
}
|
||||
segment = current
|
||||
selected[segment.target] = true
|
||||
graph[segment.target] = append(graph[segment.target], stateEdge{to: segment.center, segment: segment})
|
||||
graph[segment.center] = append(graph[segment.center], stateEdge{to: segment.target, segment: segment, reverse: true})
|
||||
}
|
||||
type node struct {
|
||||
body Body
|
||||
pos [3]float64
|
||||
vel [3]float64
|
||||
}
|
||||
queue := []node{{body: target}}
|
||||
visited := map[Body]bool{target: true}
|
||||
for head := 0; head < len(queue); head++ {
|
||||
current := queue[head]
|
||||
if current.body == center {
|
||||
return current.pos, current.vel, nil
|
||||
}
|
||||
for _, edge := range graph[current.body] {
|
||||
if visited[edge.to] {
|
||||
continue
|
||||
}
|
||||
edgePos, edgeVel, edgeErr := edge.segment.state(jdTDB)
|
||||
if edgeErr != nil {
|
||||
return pos, vel, edgeErr
|
||||
}
|
||||
if edge.reverse {
|
||||
negateVector(&edgePos)
|
||||
negateVector(&edgeVel)
|
||||
}
|
||||
addVector(&edgePos, current.pos)
|
||||
addVector(&edgeVel, current.vel)
|
||||
visited[edge.to] = true
|
||||
queue = append(queue, node{body: edge.to, pos: edgePos, vel: edgeVel})
|
||||
}
|
||||
}
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
|
||||
func (segment *summarySegment) state(jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
if segment.dataType == 20 {
|
||||
return segment.stateType20(jdTDB)
|
||||
}
|
||||
if segment.dataType == 21 {
|
||||
return segment.stateType21(jdTDB)
|
||||
}
|
||||
et := (jdTDB - spkJ2000) * spkSecondsDay
|
||||
index := int(math.Floor((et - segment.initET) / segment.interval))
|
||||
if index < 0 {
|
||||
index = 0
|
||||
}
|
||||
if index >= segment.records {
|
||||
index = segment.records - 1
|
||||
}
|
||||
if jdTDB < spkJ2000+segment.startET/spkSecondsDay || jdTDB > spkJ2000+segment.endET/spkSecondsDay {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
record, err := segment.readRecord(index)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
if !finite(record[0]) || !finitePositive(record[1]) || !finiteAll(record[2:]) {
|
||||
return pos, vel, errInvalidDAF
|
||||
}
|
||||
x := (et - record[0]) / record[1]
|
||||
tolerance := math.Abs(math.Nextafter(jdTDB, math.Inf(1))-jdTDB) * spkSecondsDay / record[1]
|
||||
if x < -1-tolerance || x > 1+tolerance {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
x = math.Max(-1, math.Min(1, x))
|
||||
components := 3
|
||||
if segment.dataType == 3 {
|
||||
components = 6
|
||||
}
|
||||
coefficientCount := (segment.recordSize - 2) / components
|
||||
for component := 0; component < 3; component++ {
|
||||
value, derivative := chebyshev(record[2+component*coefficientCount:2+(component+1)*coefficientCount], x)
|
||||
pos[component] = value
|
||||
if segment.dataType == 2 {
|
||||
vel[component] = derivative / record[1] * spkSecondsDay
|
||||
} else {
|
||||
velocityStart := 2 + (component+3)*coefficientCount
|
||||
vel[component], _ = chebyshev(record[velocityStart:velocityStart+coefficientCount], x)
|
||||
vel[component] *= spkSecondsDay
|
||||
}
|
||||
}
|
||||
return pos, vel, nil
|
||||
}
|
||||
|
||||
func (segment *summarySegment) stateType20(jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
if jdTDB < spkJ2000+segment.startET/spkSecondsDay || jdTDB > spkJ2000+segment.endET/spkSecondsDay {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
et := (jdTDB - spkJ2000) * spkSecondsDay
|
||||
init := (segment.initJD - spkJ2000 + segment.initFR) * spkSecondsDay
|
||||
interval := segment.interval * spkSecondsDay
|
||||
if !finitePositive(interval) {
|
||||
return pos, vel, errInvalidDAF
|
||||
}
|
||||
index := int(math.Floor((et - init) / interval))
|
||||
if index < 0 {
|
||||
index = 0
|
||||
}
|
||||
if index >= segment.records {
|
||||
index = segment.records - 1
|
||||
}
|
||||
record, err := segment.readRecord(index)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
nterms := segment.recordSize / 3
|
||||
coefficientCount := nterms - 1
|
||||
if len(record) != segment.recordSize || coefficientCount < 1 || !finiteAll(record) {
|
||||
return pos, vel, errInvalidDAF
|
||||
}
|
||||
recbeg := (segment.initJD - spkJ2000 + float64(index)*segment.interval) * spkSecondsDay
|
||||
radius := interval / 2
|
||||
mid := recbeg + segment.initFR*spkSecondsDay + radius
|
||||
x := (et - mid) / radius
|
||||
if !finite(x) || x < -1-1e-12 || x > 1+1e-12 {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
x = math.Max(-1, math.Min(1, x))
|
||||
velocityScale := segment.distanceScale / segment.timeScale
|
||||
for component := 0; component < 3; component++ {
|
||||
base := component * nterms
|
||||
coefficients := record[base : base+coefficientCount]
|
||||
value, _ := chebyshev(coefficients, x)
|
||||
integral := chebyshevIntegral(coefficients, x)
|
||||
pos[component] = record[base+coefficientCount]*segment.distanceScale + radius*integral*velocityScale
|
||||
vel[component] = value * velocityScale * spkSecondsDay
|
||||
}
|
||||
return pos, vel, nil
|
||||
}
|
||||
|
||||
func (segment *summarySegment) stateType21(jdTDB float64) (pos, vel [3]float64, err error) {
|
||||
if jdTDB < spkJ2000+segment.startET/spkSecondsDay || jdTDB > spkJ2000+segment.endET/spkSecondsDay {
|
||||
return pos, vel, ephem.ErrOutOfRange
|
||||
}
|
||||
et := (jdTDB - spkJ2000) * spkSecondsDay
|
||||
epochs, err := segment.owner.readWords(segment.epochStartWord, segment.records)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
index := 0
|
||||
for index < len(epochs) && epochs[index] < et {
|
||||
index++
|
||||
}
|
||||
if index >= len(epochs) {
|
||||
index = len(epochs) - 1
|
||||
}
|
||||
record, err := segment.readRecord(index)
|
||||
if err != nil {
|
||||
return pos, vel, err
|
||||
}
|
||||
maxdim := segment.maxDim
|
||||
record = append([]float64{float64(maxdim)}, record...)
|
||||
pos, vel, err = evaluateType21(et, record)
|
||||
for component := range vel {
|
||||
vel[component] *= spkSecondsDay
|
||||
}
|
||||
return pos, vel, err
|
||||
}
|
||||
|
||||
func evaluateType21(et float64, record []float64) (statePos, stateVel [3]float64, err error) {
|
||||
if len(record) < 72 {
|
||||
return statePos, stateVel, errInvalidDAF
|
||||
}
|
||||
maxdim := int(math.Round(record[0]))
|
||||
if maxdim < 15 || maxdim > 25 || len(record) != 4*maxdim+12 || !finiteAll(record) {
|
||||
return statePos, stateVel, errInvalidDAF
|
||||
}
|
||||
tl := record[1]
|
||||
g := record[2 : 2+maxdim]
|
||||
refPos := [3]float64{record[maxdim+2], record[maxdim+4], record[maxdim+6]}
|
||||
refVel := [3]float64{record[maxdim+3], record[maxdim+5], record[maxdim+7]}
|
||||
kqmax1 := int(math.Round(record[4*maxdim+8]))
|
||||
kq := [3]int{int(math.Round(record[4*maxdim+9])), int(math.Round(record[4*maxdim+10])), int(math.Round(record[4*maxdim+11]))}
|
||||
// 差分表与步长表各只有 MAXDIM 项，权重表只有 KQMAX1+1 项。
|
||||
if kqmax1 < 3 || kqmax1 > maxdim+1 {
|
||||
return statePos, stateVel, errInvalidDAF
|
||||
}
|
||||
for _, value := range g[:kqmax1-2] {
|
||||
if !finite(value) || value == 0 {
|
||||
return statePos, stateVel, errInvalidDAF
|
||||
}
|
||||
}
|
||||
for _, value := range kq {
|
||||
if value < 1 || value > kqmax1-1 {
|
||||
return statePos, stateVel, errInvalidDAF
|
||||
}
|
||||
}
|
||||
delta := et - tl
|
||||
tp := delta
|
||||
mq2 := kqmax1 - 2
|
||||
ks := kqmax1 - 1
|
||||
fc := make([]float64, kqmax1+1)
|
||||
wc := make([]float64, kqmax1)
|
||||
weights := make([]float64, kqmax1+2)
|
||||
for j := 1; j <= mq2; j++ {
|
||||
fc[j] = tp / g[j-1]
|
||||
wc[j-1] = delta / g[j-1]
|
||||
tp = delta + g[j-1]
|
||||
}
|
||||
for j := 1; j <= kqmax1; j++ {
|
||||
weights[j-1] = 1 / float64(j)
|
||||
}
|
||||
jx := 0
|
||||
ks1 := ks - 1
|
||||
for ks >= 2 {
|
||||
jx++
|
||||
for j := 1; j <= jx; j++ {
|
||||
weights[j+ks-1] = fc[j]*weights[j+ks1-1] - wc[j-1]*weights[j+ks-1]
|
||||
}
|
||||
ks = ks1
|
||||
ks1--
|
||||
}
|
||||
for component := 0; component < 3; component++ {
|
||||
sum := 0.0
|
||||
for j := kq[component]; j >= 1; j-- {
|
||||
sum += record[8+(component+1)*maxdim+j-1] * weights[j+ks-1]
|
||||
}
|
||||
statePos[component] = refPos[component] + delta*(refVel[component]+delta*sum)
|
||||
}
|
||||
for j := 1; j <= jx; j++ {
|
||||
weights[j+ks-1] = fc[j]*weights[j+ks1-1] - wc[j-1]*weights[j+ks-1]
|
||||
}
|
||||
ks--
|
||||
for component := 0; component < 3; component++ {
|
||||
sum := 0.0
|
||||
for j := kq[component]; j >= 1; j-- {
|
||||
sum += record[8+(component+1)*maxdim+j-1] * weights[j+ks-1]
|
||||
}
|
||||
stateVel[component] = refVel[component] + delta*sum
|
||||
}
|
||||
return statePos, stateVel, nil
|
||||
}
|
||||
|
||||
func chebyshevIntegral(coefficients []float64, x float64) float64 {
|
||||
degree := len(coefficients) - 1
|
||||
if degree < 0 {
|
||||
return 0
|
||||
}
|
||||
s2 := 2 * x
|
||||
a2 := coefficients[0]
|
||||
if len(coefficients) >= 3 {
|
||||
a2 -= coefficients[2] * 0.5
|
||||
}
|
||||
adegree1, adegree2 := 0.0, 0.0
|
||||
if degree >= 2 {
|
||||
adegree1 = coefficients[degree-1] * 0.5 / float64(degree)
|
||||
}
|
||||
if degree >= 1 {
|
||||
adegree2 = coefficients[degree] * 0.5 / float64(degree+1)
|
||||
}
|
||||
f2, f1 := 0.0, 0.0
|
||||
f0 := a2
|
||||
if degree > 0 {
|
||||
f0 = adegree2
|
||||
}
|
||||
z2, z1, z0 := 0.0, 0.0, f0
|
||||
w2, w1, w0 := 0.0, 0.0, 0.0
|
||||
for index := len(coefficients); index > 1; index-- {
|
||||
var coefficient float64
|
||||
switch {
|
||||
case index == 2:
|
||||
coefficient = a2
|
||||
case index < len(coefficients):
|
||||
coefficient = (coefficients[index-2] - coefficients[index]) * 0.5 / float64(index-1)
|
||||
default:
|
||||
coefficient = adegree1
|
||||
}
|
||||
f2, f1 = f1, f0
|
||||
f0 = coefficient + (s2*f1 - f2)
|
||||
z2, z1 = z1, z0
|
||||
z0 = coefficient - z2
|
||||
w2, w1 = w1, w0
|
||||
w0 = coefficients[index-1] + (s2*w1 - w2)
|
||||
}
|
||||
c0 := z1
|
||||
return c0 + x*f0 - f1
|
||||
}
|
||||
|
||||
func (segment *summarySegment) readRecord(index int) ([]float64, error) {
|
||||
if index < 0 || index >= segment.records {
|
||||
return nil, ephem.ErrOutOfRange
|
||||
}
|
||||
segment.cacheMu.Lock()
|
||||
if record, ok := segment.cache[index]; ok {
|
||||
copyRecord := append([]float64(nil), record...)
|
||||
segment.cacheMu.Unlock()
|
||||
return copyRecord, nil
|
||||
}
|
||||
segment.cacheMu.Unlock()
|
||||
record, err := segment.owner.readWords(segment.startWord+int64(index*segment.recordSize), segment.recordSize)
|
||||
if err != nil {
|
||||
return nil, err
|
||||
}
|
||||
segment.cacheMu.Lock()
|
||||
defer segment.cacheMu.Unlock()
|
||||
if previous, ok := segment.cache[index]; ok {
|
||||
return append([]float64(nil), previous...), nil
|
||||
}
|
||||
if len(segment.cacheOrder) >= spkCacheRecords {
|
||||
delete(segment.cache, segment.cacheOrder[0])
|
||||
segment.cacheOrder = segment.cacheOrder[1:]
|
||||
}
|
||||
segment.cache[index] = record
|
||||
segment.cacheOrder = append(segment.cacheOrder, index)
|
||||
return append([]float64(nil), record...), nil
|
||||
}
|
||||
|
||||
func chebyshev(coefficients []float64, x float64) (value, derivative float64) {
|
||||
t0, t1 := 1.0, x
|
||||
d0, d1 := 0.0, 1.0
|
||||
for index, coefficient := range coefficients {
|
||||
switch index {
|
||||
case 0:
|
||||
value += coefficient
|
||||
case 1:
|
||||
value += coefficient * t1
|
||||
derivative += coefficient
|
||||
default:
|
||||
t2 := 2*x*t1 - t0
|
||||
d2 := 2*t1 + 2*x*d1 - d0
|
||||
value += coefficient * t2
|
||||
derivative += coefficient * d2
|
||||
t0, t1 = t1, t2
|
||||
d0, d1 = d1, d2
|
||||
}
|
||||
}
|
||||
return value, derivative
|
||||
}
|
||||
|
||||
func (s *File) readRecord(record int) ([]byte, error) {
|
||||
if record < 1 || int64(record)*dafRecordBytes > s.size {
|
||||
return nil, errInvalidDAF
|
||||
}
|
||||
data := make([]byte, dafRecordBytes)
|
||||
if _, err := s.file.ReadAt(data, int64(record-1)*dafRecordBytes); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
return data, nil
|
||||
}
|
||||
|
||||
func (s *File) readWords(startWord int64, count int) ([]float64, error) {
|
||||
if startWord < 1 || count < 1 || int64(count) > s.size/dafWordBytes || startWord > s.size/dafWordBytes-int64(count)+1 {
|
||||
return nil, errInvalidDAF
|
||||
}
|
||||
data := make([]byte, count*dafWordBytes)
|
||||
if _, err := s.file.ReadAt(data, (startWord-1)*dafWordBytes); err != nil {
|
||||
return nil, err
|
||||
}
|
||||
words := make([]float64, count)
|
||||
for index := range words {
|
||||
words[index] = float64Value(s.order, data[index*dafWordBytes:(index+1)*dafWordBytes])
|
||||
}
|
||||
return words, nil
|
||||
}
|
||||
|
||||
func byteOrderFor(format string) (binary.ByteOrder, error) {
|
||||
switch format {
|
||||
case "LTL-IEEE":
|
||||
return binary.LittleEndian, nil
|
||||
case "BIG-IEEE":
|
||||
return binary.BigEndian, nil
|
||||
default:
|
||||
return nil, fmt.Errorf("%w: binary format %q", errInvalidDAF, format)
|
||||
}
|
||||
}
|
||||
|
||||
func int32Value(order binary.ByteOrder, data []byte, offset int) int32 {
|
||||
return int32(order.Uint32(data[offset : offset+4]))
|
||||
}
|
||||
|
||||
func float64Value(order binary.ByteOrder, data []byte) float64 {
|
||||
return math.Float64frombits(order.Uint64(data))
|
||||
}
|
||||
|
||||
func finitePositive(value float64) bool {
|
||||
return value > 0 && finite(value)
|
||||
}
|
||||
|
||||
func finite(value float64) bool { return !math.IsNaN(value) && !math.IsInf(value, 0) }
|
||||
|
||||
func finiteAll(values []float64) bool {
|
||||
for _, value := range values {
|
||||
if !finite(value) {
|
||||
return false
|
||||
}
|
||||
}
|
||||
return true
|
||||
}
|
||||
|
||||
func validInteger(value float64, minimum, maximum int64) bool {
|
||||
return finite(value) && value >= float64(minimum) && value <= float64(maximum) && value == math.Trunc(value)
|
||||
}
|
||||
|
||||
func addVector(dst *[3]float64, src [3]float64) {
|
||||
for index := range dst {
|
||||
dst[index] += src[index]
|
||||
}
|
||||
}
|
||||
|
||||
func negateVector(value *[3]float64) {
|
||||
for index := range value {
|
||||
value[index] = -value[index]
|
||||
}
|
||||
}
|
||||
|
||||
var _ ephem.Engine = (*File)(nil)
|
||||
@@ -0,0 +1,441 @@
|
||||
package spk
|
||||
|
||||
import (
|
||||
"bufio"
|
||||
"encoding/binary"
|
||||
"math"
|
||||
"os"
|
||||
"path/filepath"
|
||||
"strconv"
|
||||
"strings"
|
||||
"testing"
|
||||
|
||||
"b612.me/astro/internal/ephem"
|
||||
)
|
||||
|
||||
// de441Path 真实 DE441 核文件路径，环境变量 ASTRO_DE441_BSP 优先。
|
||||
func de441Path() string {
|
||||
if path := os.Getenv("ASTRO_DE441_BSP"); path != "" {
|
||||
return path
|
||||
}
|
||||
return "/tmp/de441data/de441_part-2.bsp"
|
||||
}
|
||||
|
||||
type testSPKSegment struct {
|
||||
target Body
|
||||
center Body
|
||||
frame int
|
||||
typ int
|
||||
start float64
|
||||
end float64
|
||||
words []float64
|
||||
}
|
||||
|
||||
func TestType2StateCoverageAndBoundary(t *testing.T) {
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE", testSPKSegment{
|
||||
target: Mars,
|
||||
center: Sun,
|
||||
frame: 1,
|
||||
typ: 2,
|
||||
start: -10,
|
||||
end: 10,
|
||||
words: type2Words(-10, 10,
|
||||
[]float64{-5, 5, 10, 2.5, 0, 0, 20, 0},
|
||||
[]float64{5, 5, 20, 2.5, 0, 0, 40, 0},
|
||||
),
|
||||
})
|
||||
spk, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatalf("open type21: %+v", err)
|
||||
}
|
||||
defer spk.Close()
|
||||
start, end, ok := spk.Coverage(Mars)
|
||||
if !ok || math.Abs(start-(spkJ2000-10/spkSecondsDay)) > 1e-12 || math.Abs(end-(spkJ2000+10/spkSecondsDay)) > 1e-12 {
|
||||
t.Fatalf("coverage = %.15f..%.15f/%v", start, end, ok)
|
||||
}
|
||||
pos, vel, err := spk.State(Mars, Sun, spkJ2000-5/spkSecondsDay)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{10, 0, 20})
|
||||
assertVector(t, vel, [3]float64{43200, 0, 0})
|
||||
pos, _, err = spk.State(Mars, Sun, spkJ2000+10/spkSecondsDay)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{22.5, 0, 40})
|
||||
_, _, err = spk.State(Mars, Sun, spkJ2000+11/spkSecondsDay)
|
||||
if err != ephem.ErrOutOfRange {
|
||||
t.Fatalf("out-of-range error = %v", err)
|
||||
}
|
||||
}
|
||||
|
||||
func TestType3BigEndianAndStateComposition(t *testing.T) {
|
||||
path := writeTestSPK(t, binary.BigEndian, "BIG-IEEE",
|
||||
testSPKSegment{
|
||||
target: Earth,
|
||||
center: EMB,
|
||||
frame: 1,
|
||||
typ: 3,
|
||||
start: -10,
|
||||
end: 10,
|
||||
words: type3Words(0, 10, []float64{1, 2, 3}, []float64{0.1, 0.2, 0.3}),
|
||||
},
|
||||
testSPKSegment{
|
||||
target: EMB,
|
||||
center: SSB,
|
||||
frame: 1,
|
||||
typ: 2,
|
||||
start: -10,
|
||||
end: 10,
|
||||
words: type2Words(-10, 20, []float64{0, 10, 10, 20, 30}),
|
||||
},
|
||||
)
|
||||
spk, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer spk.Close()
|
||||
pos, vel, err := spk.State(Earth, SSB, spkJ2000)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{11, 22, 33})
|
||||
assertVector(t, vel, [3]float64{0.1 * spkSecondsDay, 0.2 * spkSecondsDay, 0.3 * spkSecondsDay})
|
||||
pos, vel, err = spk.State(SSB, Earth, spkJ2000)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{-11, -22, -33})
|
||||
assertVector(t, vel, [3]float64{-0.1 * spkSecondsDay, -0.2 * spkSecondsDay, -0.3 * spkSecondsDay})
|
||||
}
|
||||
|
||||
func TestType20State(t *testing.T) {
|
||||
intervalDays := 2 / spkSecondsDay
|
||||
record := []float64{1, 10, 1, 20, 1, 30}
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE", testSPKSegment{
|
||||
target: Mars,
|
||||
center: Sun,
|
||||
frame: 1,
|
||||
typ: 20,
|
||||
start: -1,
|
||||
end: 1,
|
||||
words: append(record, []float64{1, 1, spkJ2000, 0, intervalDays, 6, 1}...),
|
||||
})
|
||||
spk, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer spk.Close()
|
||||
pos, vel, err := spk.State(Mars, Sun, spkJ2000+1/spkSecondsDay)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{10, 20, 30})
|
||||
assertVector(t, vel, [3]float64{spkSecondsDay, spkSecondsDay, spkSecondsDay})
|
||||
}
|
||||
|
||||
func TestType21State(t *testing.T) {
|
||||
maxdim := 15
|
||||
full := make([]float64, 4*maxdim+12)
|
||||
full[0] = 15
|
||||
full[1] = 0
|
||||
for index := 0; index < maxdim; index++ {
|
||||
full[2+index] = 1
|
||||
}
|
||||
full[maxdim+2] = 10
|
||||
full[maxdim+4] = 20
|
||||
full[maxdim+6] = 30
|
||||
full[maxdim+3] = 1
|
||||
full[maxdim+5] = 2
|
||||
full[maxdim+7] = 3
|
||||
full[8+maxdim] = 1
|
||||
full[8+2*maxdim] = 1
|
||||
full[8+3*maxdim] = 1
|
||||
full[4*maxdim+8] = 3
|
||||
full[4*maxdim+9] = 1
|
||||
full[4*maxdim+10] = 1
|
||||
full[4*maxdim+11] = 1
|
||||
words := append(append([]float64(nil), full[1:]...), 2, 15, 1)
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE", testSPKSegment{
|
||||
target: Mars,
|
||||
center: Sun,
|
||||
frame: 1,
|
||||
typ: 21,
|
||||
start: 0,
|
||||
end: 2,
|
||||
words: words,
|
||||
})
|
||||
spk, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer spk.Close()
|
||||
pos, vel, err := spk.State(Mars, Sun, spkJ2000+2/spkSecondsDay)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVectorTolerance(t, pos, [3]float64{14, 26, 38}, 1e-3)
|
||||
assertVectorTolerance(t, vel, [3]float64{3 * spkSecondsDay, 4 * spkSecondsDay, 5 * spkSecondsDay}, 2)
|
||||
}
|
||||
|
||||
func TestLaterSegmentHasPriorityAndClose(t *testing.T) {
|
||||
path := writeTestSPK(t, binary.LittleEndian, "LTL-IEEE",
|
||||
testSPKSegment{target: Venus, center: Sun, frame: 1, typ: 2, start: -1, end: 1, words: type2Words(-1, 2, []float64{0, 1, 1, 0, 0})},
|
||||
testSPKSegment{target: Venus, center: Sun, frame: 1, typ: 2, start: -1, end: 1, words: type2Words(-1, 2, []float64{0, 2, 2, 0, 0})},
|
||||
)
|
||||
spk, err := Load(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
pos, _, err := spk.State(Venus, Sun, spkJ2000)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
assertVector(t, pos, [3]float64{2, 0, 0})
|
||||
if err := spk.Close(); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
if _, _, err := spk.State(Venus, Sun, spkJ2000); err != errClosed {
|
||||
t.Fatalf("closed state error = %v", err)
|
||||
}
|
||||
}
|
||||
|
||||
func TestOpenRejectsUnsupportedSPK(t *testing.T) {
|
||||
path := filepath.Join(t.TempDir(), "bad.bsp")
|
||||
if err := os.WriteFile(path, []byte("not an SPK"), 0o600); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
if _, err := Open(path); err == nil {
|
||||
t.Fatal("invalid SPK was accepted")
|
||||
}
|
||||
}
|
||||
|
||||
func type2Words(init, interval float64, records ...[]float64) []float64 {
|
||||
if len(records) == 0 || len(records[0]) < 5 || (len(records[0])-2)%3 != 0 {
|
||||
panic("invalid type2 test record")
|
||||
}
|
||||
recordSize := len(records[0])
|
||||
words := make([]float64, 0, recordSize*len(records)+4)
|
||||
for _, record := range records {
|
||||
if len(record) != recordSize {
|
||||
panic("type2 record sizes differ")
|
||||
}
|
||||
words = append(words, record...)
|
||||
}
|
||||
words = append(words, init, interval, float64(recordSize), float64(len(records)))
|
||||
return words
|
||||
}
|
||||
|
||||
func type3Words(mid, radius float64, position, velocity []float64) []float64 {
|
||||
words := []float64{mid, radius}
|
||||
words = append(words, position...)
|
||||
words = append(words, velocity...)
|
||||
words = append(words, mid-radius, radius*2, 2+6, 1)
|
||||
return words
|
||||
}
|
||||
|
||||
func writeTestSPK(t *testing.T, order binary.ByteOrder, format string, segments ...testSPKSegment) string {
|
||||
t.Helper()
|
||||
const summaryRecord = 2
|
||||
const nameRecord = 3
|
||||
const firstDataRecord = 4
|
||||
wordsPerRecord := int64(dafRecordBytes / dafWordBytes)
|
||||
dataWord := int64(firstDataRecord-1)*wordsPerRecord + 1
|
||||
type indexedSegment struct {
|
||||
testSPKSegment
|
||||
startWord int64
|
||||
endWord int64
|
||||
}
|
||||
indexed := make([]indexedSegment, len(segments))
|
||||
for index, segment := range segments {
|
||||
indexed[index] = indexedSegment{testSPKSegment: segment, startWord: dataWord}
|
||||
dataWord += int64(len(segment.words))
|
||||
indexed[index].endWord = dataWord - 1
|
||||
}
|
||||
dataRecords := int((dataWord-1+wordsPerRecord-1)/wordsPerRecord) + 1
|
||||
fileData := make([]byte, dataRecords*dafRecordBytes)
|
||||
copy(fileData[0:8], []byte("DAF/SPK "))
|
||||
order.PutUint32(fileData[8:12], uint32(dafND))
|
||||
order.PutUint32(fileData[12:16], uint32(dafNI))
|
||||
copy(fileData[16:28], []byte("test SPK"))
|
||||
order.PutUint32(fileData[76:80], summaryRecord)
|
||||
order.PutUint32(fileData[80:84], summaryRecord)
|
||||
order.PutUint32(fileData[84:88], uint32(dataWord))
|
||||
copy(fileData[88:96], []byte(format))
|
||||
summaryOffset := (summaryRecord - 1) * dafRecordBytes
|
||||
putF64(order, fileData[summaryOffset:summaryOffset+8], 0)
|
||||
putF64(order, fileData[summaryOffset+8:summaryOffset+16], 0)
|
||||
putF64(order, fileData[summaryOffset+16:summaryOffset+24], float64(len(indexed)))
|
||||
_ = nameRecord
|
||||
for index, segment := range indexed {
|
||||
offset := summaryOffset + 24 + index*dafSummaryBytes
|
||||
putF64(order, fileData[offset:offset+8], segment.start)
|
||||
putF64(order, fileData[offset+8:offset+16], segment.end)
|
||||
putI32(order, fileData[offset+16:offset+20], int32(segment.target))
|
||||
putI32(order, fileData[offset+20:offset+24], int32(segment.center))
|
||||
putI32(order, fileData[offset+24:offset+28], int32(segment.frame))
|
||||
putI32(order, fileData[offset+28:offset+32], int32(segment.typ))
|
||||
putI32(order, fileData[offset+32:offset+36], int32(segment.startWord))
|
||||
putI32(order, fileData[offset+36:offset+40], int32(segment.endWord))
|
||||
for word, value := range segment.words {
|
||||
putF64(order, fileData[(segment.startWord-1+int64(word))*dafWordBytes:(segment.startWord+int64(word))*dafWordBytes], value)
|
||||
}
|
||||
}
|
||||
path := filepath.Join(t.TempDir(), "test.bsp")
|
||||
if err := os.WriteFile(path, fileData, 0o600); err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
return path
|
||||
}
|
||||
|
||||
func putF64(order binary.ByteOrder, destination []byte, value float64) {
|
||||
order.PutUint64(destination, math.Float64bits(value))
|
||||
}
|
||||
|
||||
func putI32(order binary.ByteOrder, destination []byte, value int32) {
|
||||
order.PutUint32(destination, uint32(value))
|
||||
}
|
||||
|
||||
func assertVector(t *testing.T, got, want [3]float64) {
|
||||
assertVectorTolerance(t, got, want, 1e-5)
|
||||
}
|
||||
|
||||
func assertVectorTolerance(t *testing.T, got, want [3]float64, tolerance float64) {
|
||||
t.Helper()
|
||||
for index := range got {
|
||||
if math.Abs(got[index]-want[index]) > tolerance {
|
||||
t.Fatalf("vector[%d] = %.12f, want %.12f", index, got[index], want[index])
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// TestDE441AccuracyVsSkyfield 验收测试：读取真实 DE441 文件，对照 skyfield / acceptance test: read real DE441, compare with skyfield.
|
||||
func TestDE441AccuracyVsSkyfield(t *testing.T) {
|
||||
spkPath := de441Path()
|
||||
if _, err := os.Stat(spkPath); os.IsNotExist(err) {
|
||||
t.Skip("DE441 file not available; set ASTRO_DE441_BSP")
|
||||
}
|
||||
refPath := filepath.Join("testdata", "de441_ref.csv")
|
||||
|
||||
spk, err := Open(spkPath)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer spk.Close()
|
||||
|
||||
f, err := os.Open(refPath)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer f.Close()
|
||||
|
||||
var maxPosErr, maxVelErr float64
|
||||
lineNum := 0
|
||||
scanner := bufio.NewScanner(f)
|
||||
for scanner.Scan() {
|
||||
lineNum++
|
||||
parts := strings.Split(scanner.Text(), ",")
|
||||
if len(parts) != 8 {
|
||||
continue
|
||||
}
|
||||
code, _ := strconv.Atoi(parts[0])
|
||||
jd, _ := strconv.ParseFloat(parts[1], 64)
|
||||
refPos := [3]float64{}
|
||||
refVel := [3]float64{}
|
||||
for i := 0; i < 3; i++ {
|
||||
refPos[i], _ = strconv.ParseFloat(parts[2+i], 64)
|
||||
refVel[i], _ = strconv.ParseFloat(parts[5+i], 64)
|
||||
}
|
||||
|
||||
pos, vel, err := spk.State(Body(code), Sun, jd)
|
||||
if err != nil {
|
||||
t.Fatalf("line %d: State(%d, Sun, %.1f) error: %v", lineNum, code, jd, err)
|
||||
}
|
||||
|
||||
for i := 0; i < 3; i++ {
|
||||
dPos := math.Abs(pos[i] - refPos[i])
|
||||
dVel := math.Abs(vel[i] - refVel[i])
|
||||
if dPos > maxPosErr {
|
||||
maxPosErr = dPos
|
||||
}
|
||||
if dVel > maxVelErr {
|
||||
maxVelErr = dVel
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// 验收标准：位置 < 100 m，速度 < 0.1 mm/s / acceptance: position < 100 m, velocity < 0.1 mm/s.
|
||||
if maxPosErr > 0.1 {
|
||||
t.Errorf("max position error = %.6f km (> 100 m)", maxPosErr)
|
||||
}
|
||||
if maxVelErr > 0.01 { // 0.1 mm/s = 0.01 km/d
|
||||
t.Errorf("max velocity error = %.9f km/d (> 0.1 mm/s)", maxVelErr)
|
||||
}
|
||||
t.Logf("max errors: position %.3e km, velocity %.3e km/d", maxPosErr, maxVelErr)
|
||||
}
|
||||
|
||||
func TestType20IntegralConstantVelocity(t *testing.T) {
|
||||
if got, want := chebyshevIntegral([]float64{2}, 0.25), 0.5; got != want {
|
||||
t.Fatalf("integral = %.17g, want %.17g", got, want)
|
||||
}
|
||||
}
|
||||
|
||||
func TestType21SyntheticRecord(t *testing.T) {
|
||||
maxdim := 15
|
||||
record := make([]float64, 4*maxdim+12)
|
||||
record[0] = float64(maxdim)
|
||||
record[1] = 0
|
||||
for index := 0; index < maxdim; index++ {
|
||||
record[2+index] = 1
|
||||
}
|
||||
record[maxdim+2] = 10
|
||||
record[maxdim+4] = 20
|
||||
record[maxdim+6] = 30
|
||||
record[maxdim+3] = 1
|
||||
record[maxdim+5] = 2
|
||||
record[maxdim+7] = 3
|
||||
record[4*maxdim+8] = 3
|
||||
record[4*maxdim+9] = 1
|
||||
record[4*maxdim+10] = 1
|
||||
record[4*maxdim+11] = 1
|
||||
for component := 0; component < 3; component++ {
|
||||
record[8+(component+1)*maxdim] = 1
|
||||
}
|
||||
gotPos, gotVel, err := evaluateType21(2, record)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
if gotPos != [3]float64{14, 26, 38} || gotVel != [3]float64{3, 4, 5} {
|
||||
t.Fatalf("state = %v, %v", gotPos, gotVel)
|
||||
}
|
||||
}
|
||||
|
||||
func TestHorizonsType21CeresAgainstCSPICE(t *testing.T) {
|
||||
path := filepath.Join("testdata", "ceres.bsp")
|
||||
if _, err := os.Stat(path); os.IsNotExist(err) {
|
||||
t.Skip("Horizons Ceres SPK is not available")
|
||||
}
|
||||
file, err := Open(path)
|
||||
if err != nil {
|
||||
t.Fatal(err)
|
||||
}
|
||||
defer file.Close()
|
||||
tests := []struct {
|
||||
jd float64
|
||||
pos [3]float64
|
||||
vel [3]float64
|
||||
}{
|
||||
{2461041.5, [3]float64{381172803.95163149, 202285004.74382541, 17811912.880624987}, [3]float64{-8.4262244193126747 * spkSecondsDay, 12.764612139351195 * spkSecondsDay, 7.7363904450095804 * spkSecondsDay}},
|
||||
{2461042.5, [3]float64{380442435.16916716, 203386620.60955107, 18480226.044434257}, [3]float64{-8.480449226845364 * spkSecondsDay, 12.735725686923541 * spkSecondsDay, 7.7338055274662123 * spkSecondsDay}},
|
||||
{2461043.5, [3]float64{379707384.25882173, 204485733.05701393, 19148311.683061387}, [3]float64{-8.5346068958188273 * spkSecondsDay, 12.706662654284424 * spkSecondsDay, 7.7311236408537631 * spkSecondsDay}},
|
||||
}
|
||||
for _, test := range tests {
|
||||
pos, vel, stateErr := file.State(Body(20000001), Sun, test.jd)
|
||||
if stateErr != nil {
|
||||
t.Fatal(stateErr)
|
||||
}
|
||||
assertVectorTolerance(t, pos, test.pos, 1e-6)
|
||||
assertVectorTolerance(t, vel, test.vel, 1e-6)
|
||||
}
|
||||
}
|
||||
Vendored
BIN
Binary file not shown.
Vendored
+45
@@ -0,0 +1,45 @@
|
||||
1,2451545.000000,-19461726.355853721,-59927967.773480386,-29992772.679831419,3196367.296468922403,-736963.944484227919,-725165.666795568075
|
||||
1,2455197.500000,7615348.314506317,40349559.970724382,20764230.250799619,-4994527.427748897113,573399.385201107943,824151.435103199328
|
||||
1,2460409.250000,-59095102.744904339,-12208835.836776096,-397061.253618861,-80157.589996882845,-3500633.117726195138,-1861734.035449085291
|
||||
1,2470000.500000,-58423379.476459160,-21095218.873128951,-5219094.863423973,577984.675783590879,-3315398.069772230461,-1831093.688917552819
|
||||
1,2488069.500000,35715235.692744091,-45902347.318416558,-28220925.763680972,2657160.074483643752,2349521.284594707657,980587.628848225228
|
||||
2,2451545.000000,-107456494.052190557,-6922528.774882653,3686187.045620657,119396.680928361806,-2766339.512497388292,-1252094.584890355356
|
||||
2,2455197.500000,7980400.349791029,-98757537.297539294,-44937823.562456690,2997233.027447930072,261290.997697278799,-72100.389786119573
|
||||
2,2460409.250000,104033519.902185202,-26158564.735811118,-18352357.632673483,855986.988639243646,2649988.735226617660,1138248.387975588674
|
||||
2,2470000.500000,-68287385.053574130,-78212941.874442697,-30880999.369566523,2327074.364669556729,-1699613.802507086657,-912090.491982413805
|
||||
2,2488069.500000,102852993.216383740,33439527.000706431,8554308.473454434,-961949.957846128964,2585099.317701762542,1224659.527287552366
|
||||
4,2451545.000000,208048140.641832381,209619.173358767,-5529162.313239297,100454.898522694188,2066550.598105826415,945144.452117909910
|
||||
4,2455197.500000,-109157269.549356803,196726101.683266968,93181300.810612798,-1791776.105491590220,-709366.836053605075,-276972.610298371932
|
||||
4,2460409.250000,152691947.616703689,-126257132.256598845,-62030955.482422978,1496812.112169315806,1577887.720354233636,683358.677785717067
|
||||
4,2470000.500000,107630427.253999338,-162708449.197838932,-77528699.089063302,1876069.888584472705,1158239.285938726505,480780.601375605213
|
||||
4,2488069.500000,91203205.631215408,188672444.573695242,84102402.739245221,-1836876.649216917576,913745.130979382899,468367.767875669757
|
||||
5,2451545.000000,598567583.597928882,409386350.116554618,160894347.123006970,-683409.976292214124,879854.211247629719,393786.926219645888
|
||||
5,2455197.500000,674546437.387645483,-291887651.141048610,-141534852.950989753,475266.914842320664,989687.270147228497,412637.771498839953
|
||||
5,2460409.250000,435947579.421117783,563448248.670763493,230897554.998261392,-931739.974492124049,645272.707379632047,299261.391436264093
|
||||
5,2470000.500000,-538636165.009431601,531267619.259489059,240803282.070978582,-844445.853253175621,-664204.002779098344,-264128.109617178678
|
||||
5,2488069.500000,-803903147.176483989,-132064236.644811392,-37056634.120138355,174569.878011514316,-974561.869908771943,-421903.878750392585
|
||||
6,2451545.000000,958385124.219723463,923715658.081787348,340300865.572902262,-642126.700622105272,527832.834165259846,245629.459105411050
|
||||
6,2455197.500000,-1415832919.845060587,13356405.577122003,66480591.272885621,-67221.690704686960,-773182.582146253320,-316438.760555763729
|
||||
6,2460409.250000,1370501763.601192951,-421096086.748522639,-232938609.442695707,228454.155326918553,731091.306874577655,292130.717300834775
|
||||
6,2470000.500000,841483890.628529906,-1122639452.952589512,-500061931.231320977,642654.884433073457,444128.590101163660,155757.490514981735
|
||||
6,2488069.500000,-1369282076.754732370,-447490210.113554776,-125815618.898983285,220805.838523651590,-730244.951046228060,-311279.220554805885
|
||||
7,2451545.000000,2158975019.759225368,-1870910802.754762411,-849968734.846995473,400638.893986218667,368310.601333641505,155643.038094210089
|
||||
7,2455197.500000,2997435943.653147697,-194589174.388139933,-127611353.968718126,40958.326044318790,513239.595447454543,224198.539512870426
|
||||
7,2460409.250000,1789526966.016673088,2136360112.069344521,910337186.673249483,-471282.549542022636,302221.967622562137,139025.602688870422
|
||||
7,2470000.500000,-2690167831.288533211,437221284.444555461,229510953.261675596,-110923.075897150295,-556571.606659970246,-242188.063348572468
|
||||
7,2488069.500000,2822174470.747951508,911931163.314849496,359554751.563923001,-197081.774681179988,481963.416306072671,213875.698730149888
|
||||
8,2451545.000000,2515046428.529101849,-3437774104.132060051,-1469713457.826672316,385853.937104861659,249592.869656585477,92573.436759929973
|
||||
8,2455197.500000,3712593238.298039436,-2305923479.038077354,-1036254439.833165526,261633.561518639035,365043.385950069467,142918.714684926119
|
||||
8,2460409.250000,4466604507.374163628,-163850563.700708121,-178261172.000086695,19352.899797939608,437790.884244481393,178719.607153477846
|
||||
8,2470000.500000,2527937114.220953465,3422784599.666448116,1338029333.502541065,-390204.538922515116,245177.586645644769,110050.696193157419
|
||||
8,2488069.500000,-4347198940.227345467,1100540332.667645454,558700600.743709564,-130479.251811205046,-417745.715501652157,-167755.317465597502
|
||||
301,2451545.000000,-26790642.061618209,132490700.504490972,57480615.983234145,-2518622.958077146206,-491109.695287754876,-213988.565447278350
|
||||
301,2455197.500000,-26413263.099680163,133102337.661037028,57708299.928026907,-2664399.190042089205,-448878.810475415608,-203923.795661982935
|
||||
301,2460409.250000,-141274051.615975320,-44769623.371007383,-19403911.675677348,770024.379791575717,-2163063.666139910463,-928279.042105002794
|
||||
301,2470000.500000,52633568.632847480,-130780085.628255159,-56678008.516612209,2320825.419408109970,870837.598782564630,369012.737071698008
|
||||
301,2488069.500000,-23887291.531281494,133377636.959700242,57798398.255998142,-2617892.707621465903,-459650.174950940651,-207580.434036122402
|
||||
399,2451545.000000,-26499033.677430496,132757417.338345051,57556718.470540732,-2574224.070085791871,-433559.719480311556,-187954.024564559892
|
||||
399,2455197.500000,-26331886.663379308,132783019.476163641,57564916.131770104,-2572895.233377746306,-431404.139418599079,-186901.856015971338
|
||||
399,2460409.250000,-141614561.775911272,-44875366.929020450,-19451994.188401155,798726.151406769990,-2241899.490074577276,-971954.226801195182
|
||||
399,2470000.500000,52344709.055075817,-131003495.311840236,-56779941.691634409,2375381.176934503950,803200.719235604280,348196.328601448564
|
||||
399,2488069.500000,-23547771.928055670,133241770.144845873,57731796.154016882,-2581876.036687009037,-386210.308926678495,-167170.899428247882
|
||||
|
Reference in New Issue
Block a user