diff --git a/MFMM.md b/MFMM.md index 76e7d03..5c37ce4 100644 --- a/MFMM.md +++ b/MFMM.md @@ -42,6 +42,7 @@ acc0, acc1, acc2, acc3, acc4, acc5是64位寄存器 =acc4 * 2^192 + (acc0 * p3 + acc3) * 2^128 + acc2 * 2^64 + acc0 + acc1 + acc0* (2^32 - 1) =acc4 * 2^192 + (acc0 * p3 + acc3) * 2^128 + acc2 * 2^64 + acc1 + acc0* 2^32 =acc4 * 2^192 + (acc0 * p3 + acc3) * 2^128 + (acc2 + H(acc0* 2^32))* 2^64 + acc1 + L(acc0* 2^32) + amd64 汇编表示为: MOVQ acc0, AX @@ -55,6 +56,7 @@ acc0, acc1, acc2, acc3, acc4, acc5是64位寄存器 ADCQ DX, acc4 // (carry4, acc4) = carry3 + acc4 + H(acc0 * p3) ADCQ $0, acc5 // acc5 = carry4 XORQ acc0, acc0 // acc0 = 0 + 结果用五个64位寄存器表示:(acc5, acc4, acc3, acc2, acc1) arm64 汇编表示为: ADDS acc0<<32, acc1, acc1 // (carry1, acc1) = acc1 + L(acc0 * 2^32) @@ -64,6 +66,7 @@ acc0, acc1, acc2, acc3, acc4, acc5是64位寄存器 ADCS t0, acc2 // (carry2, acc2) = carry1 + acc2 + H(acc0 * 2^32) ADCS t1, acc3 // (carry3, acc3) = carry2 + acc3 + L(acc0 * p3) ADC $0, acc0 // acc0 = carry3 + H(acc0 * p3), arm64的实现,((acc0, acc4), acc3, acc2, acc1)表示第一次reduction的结果, 不像amd64那样使用(acc5, acc4, acc3, acc2, acc1)。 + 结果也用五个64位寄存器表示:(acc4, acc3, acc2, acc1) ,(acc0, 0, 0, 0) SM2曲线 p = 0x fffffffeffffffff ffffffffffffffff ffffffff00000000 ffffffffffffffff