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Updated SM2 WWMM (2) (markdown)

Sun Yimin 2024-03-01 09:23:58 +08:00
parent 265eae11e8
commit 2bf3d3b0b9
1 changed files with 18 additions and 17 deletions
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SM2-WWMM-(2).md

@ -101,23 +101,24 @@ $t_0=t_0 - a_1$
伪代码： 伪代码：
```asm ```asm
\ // First reduction step, [p3, p2, p1, p0] = [1, -0x100000000, 0, (1 - 0x100000000), -1] \ // First reduction step, [p3, p2, p1, p0] = [1, -0x100000000, 0, (1 - 0x100000000), -1]
MOVQ acc0, AX \ MOVQ acc0, AX \
MOVQ acc0, DX \ MOVQ acc0, DX \
SHLQ $32, AX \ // AX = L(acc0 * 2^32), low part SHLQ $32, AX \ // AX = L(acc0 * 2^32), low part
SHRQ $32, DX \ // DX = H(acc0 * 2^32), high part SHRQ $32, DX \ // DX = H(acc0 * 2^32), high part
\// calculate the negative part: [1, -0x100000000, 0, -0x100000000] * acc0 + [0, acc3, acc2, acc1] \// calculate the negative part: [1, -0x100000000, 0, -0x100000000] * acc0 + [0, acc3, acc2, acc1]
SUBQ AX, acc1 \ \ //[acc0, acc3, acc2, acc1] - [0, 0x100000000, 0, 0x100000000] * acc0
SBBQ DX, acc2 \ SUBQ AX, acc1 \
SBBQ AX, acc3 \ SBBQ DX, acc2 \
MOVQ acc0, AX \ SBBQ AX, acc3 \
SBBQ DX, acc0 \ MOVQ acc0, AX \
\ // calculate the positive part: [0, 0, 0, 1] * AX + [acc0, acc3, acc2, acc1], SBBQ DX, acc0 \
\ // due to (-1) * acc0 + acc0 == 0, so last lowest lamb 0 is dropped directly, no carry. \ // calculate the positive part: [0, 0, 0, 1] * AX + [acc0, acc3, acc2, acc1],
ADDQ AX, acc1 \ // acc1' = L (AX+ acc1) \ // due to (-1) * acc0 + acc0 == 0, so last lowest lamb 0 is dropped directly, no carry.
ADCQ $0, acc2 \ // acc2' = acc2 + carry1 ADDQ AX, acc1 \ // acc1' = L (AX+ acc1)
ADCQ $0, acc3 \ // acc3' = acc3 + carry2 ADCQ $0, acc2 \ // acc2' = acc2 + carry1
ADCQ $0, acc0 \ // acc0' = acc0 + carry3 ADCQ $0, acc3 \ // acc3' = acc3 + carry2
ADCQ $0, acc0 \ // acc0' = acc0 + carry3
``` ```
移位: 2 移位: 2
加法：4 加法：4