From 3b010e68baa29f4f5bc92a0edd7761164ec3e84b Mon Sep 17 00:00:00 2001 From: Sun Yimin Date: Thu, 9 Oct 2025 09:57:01 +0800 Subject: [PATCH] =?UTF-8?q?Updated=20sm2=5Fz256=5Floong64.S=20=E4=BB=A3?= =?UTF-8?q?=E7=A0=81=E5=88=86=E6=9E=90=20(markdown)?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- sm2_z256_loong64.S-代码分析.md | 10 ++++------ 1 file changed, 4 insertions(+), 6 deletions(-) diff --git a/sm2_z256_loong64.S-代码分析.md b/sm2_z256_loong64.S-代码分析.md index 932618f..be7cfc6 100644 --- a/sm2_z256_loong64.S-代码分析.md +++ b/sm2_z256_loong64.S-代码分析.md @@ -66,13 +66,11 @@ or $a2, $a2, $a1 按字蒙哥马利模约减乘法（WW-MM），计算 `(t0,t1,t2,t3) = (a4,a5,a6,a7) * (t0,t1,t2,t3)`。 **实现思路**： -1. 可参考https://github.com/emmansun/gmsm/wiki/SM2-WWMM-(2) +1. 可参考https://github.com/emmansun/gmsm/wiki/SM2-WWMM-(2) $T_2=T_1 \ast P=t_0 \ast P= t_0 \ast (2^{256}-(2^{32} \ast 2^{192} + 0 \ast 2^{128} + (2^{32} - 1) \ast 2^{64} + 1))$ -$T_2=t_0 \ast 2^{256} - t_0 \ast 2^{32} \ast 2^{192} - t_0 \ast (2^{32} - 1) \ast 2^{64} - t_0$ - -$T_3=T + T_2=t_4 \ast 2^{256} + t_3 \ast 2^{192} + t_2 \ast 2^{128} + t_1 \ast 2^{64} + t_0 \ast 2^{256} - t_0 \ast 2^{32} \ast 2^{192} - t_0 \ast (2^{32} - 1) \ast 2^{64} $ -$T_3=(t_4+t_0) \ast 2^{256}+(t_3 - t_0 \ast 2^{32}) \ast 2^{192} + t_2 \ast 2^{128} + (t_1 + t_0 - t_0 \ast 2^{32}) \ast 2^{64} $ -$T_3=(t_4+t_0-t_0>>32) \ast 2^{256}+(t_3 - t_0<<32) \ast 2^{192} + (t_2 - t_0>>32) \ast 2^{128} + (t_1 + t_0 - t_0<<32) \ast 2^{64} $ +$T_2=(t_0-t_0>>32) \ast 2^{256}+(0 - t_0<<32) \ast 2^{192} + (0 - t_0>>32) \ast 2^{128} + (t_0 - t_0<<32) \ast 2^{64} - t_0$ +$T_3=T + T_2=(t_4+t_0-t_0>>32) \ast 2^{256}+(t_3 - t_0<<32) \ast 2^{192} + (t_2 - t_0>>32) \ast 2^{128} + (t_1 + t_0 - t_0<<32) \ast 2^{64} $ +注释：这里 $t_0<<32$ 是 $t_0 \ast 2^{32}$ 的低64位， $t_0>>32$ 是 $t_0 \ast 2^{32}$ 的高64位。