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internal/sm2ec: use ADCX/ADOX for order WWMM mul/sqr
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Sun Yimin
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parent
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0996508b5b
@ -407,176 +407,161 @@ ordSqrLoop:
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RET
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ordSqrLoopBMI2:
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XORQ acc0, acc0
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XORQ y_ptr, y_ptr
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// y[1:] * y[0]
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MOVQ (8*0)(x_ptr), DX
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MULXQ (8*1)(x_ptr), acc1, acc2
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MULXQ (8*2)(x_ptr), AX, acc3
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ADDQ AX, acc2
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ADCQ $0, acc3
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ADOXQ AX, acc2
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MULXQ (8*3)(x_ptr), AX, acc4
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ADDQ AX, acc3
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ADCQ $0, acc4
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ADOXQ AX, acc3
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ADOXQ y_ptr, acc4
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// y[2:] * y[1]
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MOVQ (8*1)(x_ptr), DX
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MULXQ (8*2)(x_ptr), AX, t1
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ADDQ AX, acc3
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ADCQ t1, acc4
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ADOXQ AX, acc3
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MULXQ (8*3)(x_ptr), AX, acc5
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ADCQ $0, acc5
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ADDQ AX, acc4
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ADCQ $0, acc5
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ADCXQ t1, AX
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ADOXQ AX, acc4
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ADCXQ y_ptr, acc5
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// y[3] * y[2]
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MOVQ (8*2)(x_ptr), DX
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MULXQ (8*3)(x_ptr), AX, y_ptr
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ADDQ AX, acc5
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ADCQ $0, y_ptr
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ADOXQ AX, acc5
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ADOXQ acc0, y_ptr
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XORQ t1, t1
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// *2
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ADDQ acc1, acc1
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ADCQ acc2, acc2
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ADCQ acc3, acc3
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ADCQ acc4, acc4
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ADCQ acc5, acc5
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ADCQ y_ptr, y_ptr
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ADCQ $0, t1
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ADOXQ acc1, acc1
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ADOXQ acc2, acc2
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ADOXQ acc3, acc3
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ADOXQ acc4, acc4
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ADOXQ acc5, acc5
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ADOXQ y_ptr, y_ptr
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ADOXQ acc0, t1
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// Missing products
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MOVQ (8*0)(x_ptr), DX
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MULXQ DX, acc0, t0
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ADDQ t0, acc1
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ADCXQ t0, acc1
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MOVQ (8*1)(x_ptr), DX
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MULXQ DX, AX, t0
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ADCQ AX, acc2
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ADCQ t0, acc3
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ADCXQ AX, acc2
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ADCXQ t0, acc3
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MOVQ (8*2)(x_ptr), DX
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MULXQ DX, AX, t0
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ADCQ AX, acc4
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ADCQ t0, acc5
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ADCXQ AX, acc4
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ADCXQ t0, acc5
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MOVQ (8*3)(x_ptr), DX
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MULXQ DX, AX, x_ptr
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ADCQ AX, y_ptr
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ADCQ t1, x_ptr
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ADCXQ AX, y_ptr
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ADCXQ t1, x_ptr
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// T = [x_ptr, y_ptr, acc5, acc4, acc3, acc2, acc1, acc0]
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// First reduction step, [ord3, ord2, ord1, ord0] = [1, -0x100000000, -1, ord1, ord0]
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// First reduction step
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MOVQ acc0, DX
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MULXQ p256ordK0<>(SB), t0, AX
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// calculate the positive part first: [1, 0, 0, ord1, ord0] * t0 + [0, acc3, acc2, acc1, acc0]
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// the result is [acc0, acc3, acc2, acc1], last lowest limb is dropped.
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MOVQ t0, DX // Y = t0 = (k0 * acc0) mod 2^64
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MULXQ p256ord<>+0x00(SB), AX, t1
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ADDQ AX, acc0 // (carry1, acc0) = acc0 + L(t0 * ord0)
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ADCQ t1, acc1 // (carry2, acc1) = acc1 + H(t0 * ord0) + carry1
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MOVQ t0, acc0 // acc0 = t0
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MULXQ p256ordK0<>(SB), DX, AX
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MULXQ p256ord<>+0x00(SB), AX, t0
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ADOXQ AX, acc0 // (carry1, acc0) = acc0 + t0 * ord0
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MULXQ p256ord<>+0x08(SB), AX, t1
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ADCQ $0, t1 // t1 = carry2 + H(t0*ord1)
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ADDQ AX, acc1 // (carry3, acc1) = acc1 + L(t0*ord1)
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ADCQ t1, acc2 // (carry4, acc2) = acc2 + t1 + carry3
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ADCQ $0, acc3 // (carry5, acc3) = acc3 + carry4
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ADCQ $0, acc0 // acc0 = t0 + carry5
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// calculate the negative part: [acc0, acc3, acc2, acc1] - [0, 0x100000000, 1, 0] * t0
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MOVQ t0, AX
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//MOVQ t0, DX // This is not required due to t0=DX already
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SHLQ $32, AX
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SHRQ $32, DX
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ADCXQ t0, AX
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ADOXQ AX, acc1
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SUBQ t0, acc2
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SBBQ AX, acc3
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SBBQ DX, acc0
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MULXQ p256ord<>+0x10(SB), AX, t0
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ADCXQ t1, AX
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ADOXQ AX, acc2
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MULXQ p256ord<>+0x18(SB), AX, acc0
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ADCXQ t0, AX
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ADOXQ AX, acc3
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MOVQ $0, t0
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ADCXQ t0, acc0
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ADOXQ t0, acc0
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// Second reduction step
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MOVQ acc1, DX
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MULXQ p256ordK0<>(SB), t0, AX
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MULXQ p256ordK0<>(SB), DX, AX
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MOVQ t0, DX
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MULXQ p256ord<>+0x00(SB), AX, t1
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ADDQ AX, acc1
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ADCQ t1, acc2
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MOVQ t0, acc1
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MULXQ p256ord<>+0x00(SB), AX, t0
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ADOXQ AX, acc1
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MULXQ p256ord<>+0x08(SB), AX, t1
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ADCQ $0, t1
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ADDQ AX, acc2
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ADCQ t1, acc3
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ADCQ $0, acc0
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ADCQ $0, acc1
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ADCXQ t0, AX
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ADOXQ AX, acc2
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MOVQ t0, AX
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//MOVQ t0, DX // This is not required due to t0=DX already
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SHLQ $32, AX
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SHRQ $32, DX
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MULXQ p256ord<>+0x10(SB), AX, t0
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ADCXQ t1, AX
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ADOXQ AX, acc3
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MULXQ p256ord<>+0x18(SB), AX, acc1
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ADCXQ t0, AX
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ADOXQ AX, acc0
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MOVQ $0, t0
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ADCXQ t0, acc1
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ADOXQ t0, acc1
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SUBQ t0, acc3
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SBBQ AX, acc0
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SBBQ DX, acc1
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// Third reduction step
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MOVQ acc2, DX
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MULXQ p256ordK0<>(SB), t0, AX
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MULXQ p256ordK0<>(SB), DX, AX
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MOVQ t0, DX
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MULXQ p256ord<>+0x00(SB), AX, t1
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ADDQ AX, acc2
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ADCQ t1, acc3
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MOVQ t0, acc2
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MULXQ p256ord<>+0x00(SB), AX, t0
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ADOXQ AX, acc2
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MULXQ p256ord<>+0x08(SB), AX, t1
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ADCQ $0, t1
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ADDQ AX, acc3
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ADCQ t1, acc0
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ADCQ $0, acc1
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ADCQ $0, acc2
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ADCXQ t0, AX
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ADOXQ AX, acc3
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MOVQ t0, AX
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//MOVQ t0, DX // This is not required due to t0=DX already
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SHLQ $32, AX
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SHRQ $32, DX
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MULXQ p256ord<>+0x10(SB), AX, t0
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ADCXQ t1, AX
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ADOXQ AX, acc0
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MULXQ p256ord<>+0x18(SB), AX, acc2
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ADCXQ t0, AX
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ADOXQ AX, acc1
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MOVQ $0, t0
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ADCXQ t0, acc2
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ADOXQ t0, acc2
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SUBQ t0, acc0
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SBBQ AX, acc1
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SBBQ DX, acc2
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// Last reduction step
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MOVQ acc3, DX
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MULXQ p256ordK0<>(SB), t0, AX
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MULXQ p256ordK0<>(SB), DX, AX
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MOVQ t0, DX
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MULXQ p256ord<>+0x00(SB), AX, t1
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ADDQ AX, acc3
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ADCQ t1, acc0
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MOVQ t0, acc3
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MULXQ p256ord<>+0x00(SB), AX, t0
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ADOXQ AX, acc3
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MULXQ p256ord<>+0x08(SB), AX, t1
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ADCQ $0, t1
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ADDQ AX, acc0
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ADCQ t1, acc1
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ADCQ $0, acc2
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ADCQ $0, acc3
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ADCXQ t0, AX
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ADOXQ AX, acc0
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MOVQ t0, AX
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//MOVQ t0, DX // This is not required due to t0=DX already
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SHLQ $32, AX
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SHRQ $32, DX
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MULXQ p256ord<>+0x10(SB), AX, t0
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ADCXQ t1, AX
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ADOXQ AX, acc1
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SUBQ t0, acc1
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SBBQ AX, acc2
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SBBQ DX, acc3
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MULXQ p256ord<>+0x18(SB), AX, acc3
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ADCXQ t0, AX
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ADOXQ AX, acc2
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MOVQ $0, t0
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ADCXQ t0, acc3
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ADOXQ t0, acc3
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XORQ t0, t0
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XORQ t1, t1
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// Add bits [511:256] of the sqr result
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ADCQ acc4, acc0
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ADCQ acc5, acc1
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ADCQ y_ptr, acc2
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ADCQ x_ptr, acc3
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ADCQ $0, t0
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ADCXQ acc4, acc0
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ADCXQ acc5, acc1
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ADCXQ y_ptr, acc2
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ADCXQ x_ptr, acc3
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ADCXQ t1, t0
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p256OrdReduceInline(acc0, acc1, acc2, acc3, t0, acc4, acc5, y_ptr, t1, res_ptr)
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MOVQ res_ptr, x_ptr
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154
internal/sm2ec/p256_asm_ord_test.go
Normal file
154
internal/sm2ec/p256_asm_ord_test.go
Normal file
@ -0,0 +1,154 @@
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//go:build (amd64 && !purego) || (arm64 && !purego)
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package sm2ec
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import (
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"crypto/rand"
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"io"
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"math/big"
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"testing"
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"time"
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)
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func ordFromBig(out *p256OrdElement, big *big.Int) {
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for i := range out {
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out[i] = 0
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}
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for i, v := range big.Bits() {
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out[i] = uint64(v)
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}
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}
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func p256OrderSqrTest(t *testing.T, x, p, r *big.Int) {
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x1 := new(big.Int).Mul(x, r)
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x1 = x1.Mod(x1, p)
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ax := new(p256OrdElement)
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res2 := new(p256OrdElement)
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ordFromBig(ax, x1)
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p256OrdSqr(res2, ax, 1)
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resInt := new(big.Int).SetBytes(p256OrderFromMont(res2))
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expected := new(big.Int).Mul(x, x)
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expected = expected.Mod(expected, p)
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if resInt.Cmp(expected) != 0 {
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t.FailNow()
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}
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}
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func TestP256OrdSqrOrdMinus1(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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pMinus1 := new(big.Int).Sub(p, big.NewInt(1))
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p256OrderSqrTest(t, pMinus1, p, r)
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}
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func TestFuzzyP256OrdSqr(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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var scalar1 [32]byte
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var timeout *time.Timer
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if testing.Short() {
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timeout = time.NewTimer(10 * time.Millisecond)
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} else {
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timeout = time.NewTimer(2 * time.Second)
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}
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for {
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select {
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case <-timeout.C:
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return
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default:
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}
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io.ReadFull(rand.Reader, scalar1[:])
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x := new(big.Int).SetBytes(scalar1[:])
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p256OrderSqrTest(t, x, p, r)
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}
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}
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func BenchmarkP25OrdSqr(b *testing.B) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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var scalar1 [32]byte
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io.ReadFull(rand.Reader, scalar1[:])
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x := new(big.Int).SetBytes(scalar1[:])
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x1 := new(big.Int).Mul(x, r)
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x1 = x1.Mod(x1, p)
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ax := new(p256OrdElement)
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res := new(p256OrdElement)
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ordFromBig(ax, x1)
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b.ResetTimer()
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for i := 0; i < b.N; i++ {
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p256OrdSqr(res, ax, 20)
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}
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}
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func p256OrdMulTest(t *testing.T, x, y, p, r *big.Int) {
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x1 := new(big.Int).Mul(x, r)
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x1 = x1.Mod(x1, p)
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y1 := new(big.Int).Mul(y, r)
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y1 = y1.Mod(y1, p)
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ax := new(p256OrdElement)
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ay := new(p256OrdElement)
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res2 := new(p256OrdElement)
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ordFromBig(ax, x1)
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ordFromBig(ay, y1)
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p256OrdMul(res2, ax, ay)
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resInt := new(big.Int).SetBytes(p256OrderFromMont(res2))
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expected := new(big.Int).Mul(x, y)
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expected = expected.Mod(expected, p)
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if resInt.Cmp(expected) != 0 {
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t.FailNow()
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}
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}
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func TestP256OrdMulOrdMinus1(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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pMinus1 := new(big.Int).Sub(p, big.NewInt(1))
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p256OrdMulTest(t, pMinus1, pMinus1, p, r)
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}
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func TestFuzzyP256OrdMul(t *testing.T) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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var scalar1 [32]byte
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var scalar2 [32]byte
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var timeout *time.Timer
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if testing.Short() {
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timeout = time.NewTimer(10 * time.Millisecond)
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} else {
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timeout = time.NewTimer(2 * time.Second)
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}
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for {
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select {
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case <-timeout.C:
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return
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default:
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}
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io.ReadFull(rand.Reader, scalar1[:])
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io.ReadFull(rand.Reader, scalar2[:])
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x := new(big.Int).SetBytes(scalar1[:])
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y := new(big.Int).SetBytes(scalar2[:])
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p256OrdMulTest(t, x, y, p, r)
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}
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}
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func BenchmarkP25OrdMul(b *testing.B) {
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p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFF7203DF6B21C6052B53BBF40939D54123", 16)
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r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
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var scalar1 [32]byte
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io.ReadFull(rand.Reader, scalar1[:])
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x := new(big.Int).SetBytes(scalar1[:])
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x1 := new(big.Int).Mul(x, r)
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x1 = x1.Mod(x1, p)
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ax := new(p256OrdElement)
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res := new(p256OrdElement)
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ordFromBig(ax, x1)
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b.ResetTimer()
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for i := 0; i < b.N; i++ {
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p256OrdMul(res, ax, ax)
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}
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}
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@ -876,7 +876,6 @@ TEXT ·p256OrdReduce(SB),NOSPLIT,$0
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// func p256OrdMul(res, in1, in2 *p256OrdElement)
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TEXT ·p256OrdMul(SB),NOSPLIT,$0
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MOVQ res+0(FP), res_ptr
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MOVQ in1+8(FP), x_ptr
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MOVQ in2+16(FP), y_ptr
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CMPB ·supportBMI2+0(SB), $0x01
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@ -1125,203 +1124,187 @@ TEXT ·p256OrdMul(SB),NOSPLIT,$0
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SBBQ DX, acc1
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SBBQ $0, acc2
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MOVQ res+0(FP), res_ptr
|
||||
p256OrdReduceInline(acc4, acc5, acc0, acc1, acc2, x_ptr, acc3, t0, BX, res_ptr)
|
||||
|
||||
RET
|
||||
|
||||
ordMulBMI2:
|
||||
XORQ acc5, acc5
|
||||
XORQ res_ptr, res_ptr
|
||||
// x * y[0]
|
||||
MOVQ (8*0)(y_ptr), DX
|
||||
MULXQ (8*0)(x_ptr), acc0, acc1
|
||||
|
||||
MULXQ (8*1)(x_ptr), AX, acc2
|
||||
ADDQ AX, acc1
|
||||
ADCQ $0, acc2
|
||||
ADCXQ AX, acc1
|
||||
|
||||
MULXQ (8*2)(x_ptr), AX, acc3
|
||||
ADDQ AX, acc2
|
||||
ADCQ $0, acc3
|
||||
ADCXQ AX, acc2
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, acc4
|
||||
ADDQ AX, acc3
|
||||
ADCQ $0, acc4
|
||||
|
||||
XORQ acc5, acc5
|
||||
ADCXQ AX, acc3
|
||||
ADCXQ acc5, acc4
|
||||
|
||||
// First reduction step
|
||||
MOVQ acc0, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc0
|
||||
ADCQ BX, acc1
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc0
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc1
|
||||
ADCQ BX, acc2
|
||||
ADCQ $0, acc3
|
||||
ADCQ t0, acc4
|
||||
ADCQ $0, acc5
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc1
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc2
|
||||
|
||||
SUBQ t0, acc2
|
||||
SBBQ AX, acc3
|
||||
SBBQ DX, acc4
|
||||
SBBQ $0, acc5
|
||||
MULXQ p256ord<>+0x18(SB), AX, BX
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc4
|
||||
ADOXQ res_ptr, acc5
|
||||
XORQ acc0, acc0
|
||||
|
||||
// x * y[1]
|
||||
MOVQ (8*1)(y_ptr), DX
|
||||
MULXQ (8*0)(x_ptr), AX, BX
|
||||
ADDQ AX, acc1
|
||||
ADCQ BX, acc2
|
||||
MULXQ (8*0)(x_ptr), AX, t0
|
||||
ADOXQ AX, acc1
|
||||
|
||||
MULXQ (8*1)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ (8*2)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
MULXQ (8*2)(x_ptr), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc4
|
||||
ADCQ BX, acc5
|
||||
ADCQ $0, acc0
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
ADCXQ acc0, BX
|
||||
ADOXQ BX, acc5
|
||||
ADOXQ res_ptr, acc0
|
||||
|
||||
// Second reduction step
|
||||
MOVQ acc1, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc1
|
||||
ADCQ BX, acc2
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc1
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
ADCQ $0, acc4
|
||||
ADCQ t0, acc5
|
||||
ADCQ $0, acc0
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
SUBQ t0, acc3
|
||||
SBBQ AX, acc4
|
||||
SBBQ DX, acc5
|
||||
SBBQ $0, acc0
|
||||
MULXQ p256ord<>+0x18(SB), AX, BX
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc5
|
||||
ADOXQ res_ptr, acc0
|
||||
XORQ acc1, acc1
|
||||
|
||||
// x * y[2]
|
||||
MOVQ (8*2)(y_ptr), DX
|
||||
MULXQ (8*0)(x_ptr), AX, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
MULXQ (8*0)(x_ptr), AX, t0
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ (8*1)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ (8*2)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc4
|
||||
ADCQ BX, acc5
|
||||
MULXQ (8*2)(x_ptr), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc5
|
||||
ADCQ BX, acc0
|
||||
ADCQ $0, acc1
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc5
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc0
|
||||
ADOXQ res_ptr, acc1
|
||||
|
||||
// Third reduction step
|
||||
MOVQ acc2, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
ADCQ $0, acc5
|
||||
ADCQ t0, acc0
|
||||
ADCQ $0, acc1
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
SUBQ t0, acc4
|
||||
SBBQ AX, acc5
|
||||
SBBQ DX, acc0
|
||||
SBBQ $0, acc1
|
||||
MULXQ p256ord<>+0x18(SB), AX, BX
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc5
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc0
|
||||
ADOXQ res_ptr, acc1
|
||||
XORQ acc2, acc2
|
||||
|
||||
// x * y[3]
|
||||
MOVQ (8*3)(y_ptr), DX
|
||||
MULXQ (8*0)(x_ptr), AX, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
MULXQ (8*0)(x_ptr), AX, t0
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ (8*1)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc4
|
||||
ADCQ BX, acc5
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
MULXQ (8*2)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc5
|
||||
ADCQ BX, acc0
|
||||
MULXQ (8*2)(x_ptr), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc5
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc0
|
||||
ADCQ BX, acc1
|
||||
ADCQ $0, acc2
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc0
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc1
|
||||
ADOXQ res_ptr, acc2
|
||||
|
||||
// Last reduction step
|
||||
MOVQ acc3, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc4
|
||||
ADCQ BX, acc5
|
||||
ADCQ $0, acc0
|
||||
ADCQ t0, acc1
|
||||
ADCQ $0, acc2
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc4
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc5
|
||||
|
||||
SUBQ t0, acc5
|
||||
SBBQ AX, acc0
|
||||
SBBQ DX, acc1
|
||||
SBBQ $0, acc2
|
||||
MULXQ p256ord<>+0x18(SB), AX, BX
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc0
|
||||
|
||||
ADCXQ res_ptr, BX
|
||||
ADOXQ BX, acc1
|
||||
ADOXQ res_ptr, acc2
|
||||
|
||||
MOVQ res+0(FP), res_ptr
|
||||
p256OrdReduceInline(acc4, acc5, acc0, acc1, acc2, x_ptr, acc3, t0, BX, res_ptr)
|
||||
|
||||
RET
|
||||
|
||||
@ -406,176 +406,161 @@ ordSqrLoop:
|
||||
RET
|
||||
|
||||
ordSqrLoopBMI2:
|
||||
XORQ acc0, acc0
|
||||
XORQ y_ptr, y_ptr
|
||||
// y[1:] * y[0]
|
||||
MOVQ (8*0)(x_ptr), DX
|
||||
MULXQ (8*1)(x_ptr), acc1, acc2
|
||||
|
||||
MULXQ (8*2)(x_ptr), AX, acc3
|
||||
ADDQ AX, acc2
|
||||
ADCQ $0, acc3
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, acc4
|
||||
ADDQ AX, acc3
|
||||
ADCQ $0, acc4
|
||||
ADOXQ AX, acc3
|
||||
ADOXQ y_ptr, acc4
|
||||
|
||||
// y[2:] * y[1]
|
||||
MOVQ (8*1)(x_ptr), DX
|
||||
MULXQ (8*2)(x_ptr), AX, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc4
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ (8*3)(x_ptr), AX, acc5
|
||||
ADCQ $0, acc5
|
||||
ADDQ AX, acc4
|
||||
ADCQ $0, acc5
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc4
|
||||
ADCXQ y_ptr, acc5
|
||||
|
||||
// y[3] * y[2]
|
||||
MOVQ (8*2)(x_ptr), DX
|
||||
MULXQ (8*3)(x_ptr), AX, y_ptr
|
||||
ADDQ AX, acc5
|
||||
ADCQ $0, y_ptr
|
||||
ADOXQ AX, acc5
|
||||
ADOXQ acc0, y_ptr
|
||||
|
||||
XORQ BX, BX
|
||||
// *2
|
||||
ADDQ acc1, acc1
|
||||
ADCQ acc2, acc2
|
||||
ADCQ acc3, acc3
|
||||
ADCQ acc4, acc4
|
||||
ADCQ acc5, acc5
|
||||
ADCQ y_ptr, y_ptr
|
||||
ADCQ $0, BX
|
||||
ADOXQ acc1, acc1
|
||||
ADOXQ acc2, acc2
|
||||
ADOXQ acc3, acc3
|
||||
ADOXQ acc4, acc4
|
||||
ADOXQ acc5, acc5
|
||||
ADOXQ y_ptr, y_ptr
|
||||
ADOXQ acc0, BX
|
||||
|
||||
// Missing products
|
||||
MOVQ (8*0)(x_ptr), DX
|
||||
MULXQ DX, acc0, t0
|
||||
ADDQ t0, acc1
|
||||
ADCXQ t0, acc1
|
||||
|
||||
MOVQ (8*1)(x_ptr), DX
|
||||
MULXQ DX, AX, t0
|
||||
ADCQ AX, acc2
|
||||
ADCQ t0, acc3
|
||||
ADCXQ AX, acc2
|
||||
ADCXQ t0, acc3
|
||||
|
||||
MOVQ (8*2)(x_ptr), DX
|
||||
MULXQ DX, AX, t0
|
||||
ADCQ AX, acc4
|
||||
ADCQ t0, acc5
|
||||
ADCXQ AX, acc4
|
||||
ADCXQ t0, acc5
|
||||
|
||||
MOVQ (8*3)(x_ptr), DX
|
||||
MULXQ DX, AX, x_ptr
|
||||
ADCQ AX, y_ptr
|
||||
ADCQ BX, x_ptr
|
||||
ADCXQ AX, y_ptr
|
||||
ADCXQ BX, x_ptr
|
||||
|
||||
// T = [x_ptr, y_ptr, acc5, acc4, acc3, acc2, acc1, acc0]
|
||||
// First reduction step, [ord3, ord2, ord1, ord0] = [1, -0x100000000, -1, ord1, ord0]
|
||||
// First reduction step
|
||||
MOVQ acc0, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
// calculate the positive part first: [1, 0, 0, ord1, ord0] * t0 + [0, acc3, acc2, acc1, acc0]
|
||||
// the result is [acc0, acc3, acc2, acc1], last lowest limb is dropped.
|
||||
MOVQ t0, DX // Y = t0 = (k0 * acc0) mod 2^64
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc0 // (carry1, acc0) = acc0 + L(t0 * ord0)
|
||||
ADCQ BX, acc1 // (carry2, acc1) = acc1 + H(t0 * ord0) + carry1
|
||||
MOVQ t0, acc0 // acc0 = t0
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc0 // (carry1, acc0) = acc0 + t0 * ord0
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX // BX = carry2 + H(t0*ord1)
|
||||
ADDQ AX, acc1 // (carry3, acc1) = acc1 + L(t0*ord1)
|
||||
ADCQ BX, acc2 // (carry4, acc2) = acc2 + BX + carry3
|
||||
ADCQ $0, acc3 // (carry5, acc3) = acc3 + carry4
|
||||
ADCQ $0, acc0 // acc0 = t0 + carry5
|
||||
// calculate the positive part: [acc0, acc3, acc2, acc1] - [0, 0x100000000, 1, 0] * t0
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc1
|
||||
|
||||
SUBQ t0, acc2
|
||||
SBBQ AX, acc3
|
||||
SBBQ DX, acc0
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ p256ord<>+0x18(SB), AX, acc0
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc3
|
||||
MOVQ $0, t0
|
||||
ADCXQ t0, acc0
|
||||
ADOXQ t0, acc0
|
||||
|
||||
// Second reduction step
|
||||
MOVQ acc1, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc1
|
||||
ADCQ BX, acc2
|
||||
MOVQ t0, acc1
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc1
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
ADCQ $0, acc0
|
||||
ADCQ $0, acc1
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ p256ord<>+0x18(SB), AX, acc1
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc0
|
||||
MOVQ $0, t0
|
||||
ADCXQ t0, acc1
|
||||
ADOXQ t0, acc1
|
||||
|
||||
SUBQ t0, acc3
|
||||
SBBQ AX, acc0
|
||||
SBBQ DX, acc1
|
||||
// Third reduction step
|
||||
MOVQ acc2, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc2
|
||||
ADCQ BX, acc3
|
||||
MOVQ t0, acc2
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc2
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc0
|
||||
ADCQ $0, acc1
|
||||
ADCQ $0, acc2
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc0
|
||||
|
||||
MULXQ p256ord<>+0x18(SB), AX, acc2
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc1
|
||||
MOVQ $0, t0
|
||||
ADCXQ t0, acc2
|
||||
ADOXQ t0, acc2
|
||||
|
||||
SUBQ t0, acc0
|
||||
SBBQ AX, acc1
|
||||
SBBQ DX, acc2
|
||||
// Last reduction step
|
||||
MOVQ acc3, DX
|
||||
MULXQ p256ordK0<>(SB), t0, AX
|
||||
MULXQ p256ordK0<>(SB), DX, AX
|
||||
|
||||
MOVQ t0, DX
|
||||
MULXQ p256ord<>+0x00(SB), AX, BX
|
||||
ADDQ AX, acc3
|
||||
ADCQ BX, acc0
|
||||
MOVQ t0, acc3
|
||||
MULXQ p256ord<>+0x00(SB), AX, t0
|
||||
ADOXQ AX, acc3
|
||||
|
||||
MULXQ p256ord<>+0x08(SB), AX, BX
|
||||
ADCQ $0, BX
|
||||
ADDQ AX, acc0
|
||||
ADCQ BX, acc1
|
||||
ADCQ $0, acc2
|
||||
ADCQ $0, acc3
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc0
|
||||
|
||||
MOVQ t0, AX
|
||||
//MOVQ t0, DX // This is not required due to t0=DX already
|
||||
SHLQ $32, AX
|
||||
SHRQ $32, DX
|
||||
MULXQ p256ord<>+0x10(SB), AX, t0
|
||||
ADCXQ BX, AX
|
||||
ADOXQ AX, acc1
|
||||
|
||||
SUBQ t0, acc1
|
||||
SBBQ AX, acc2
|
||||
SBBQ DX, acc3
|
||||
MULXQ p256ord<>+0x18(SB), AX, acc3
|
||||
ADCXQ t0, AX
|
||||
ADOXQ AX, acc2
|
||||
MOVQ $0, t0
|
||||
ADCXQ t0, acc3
|
||||
ADOXQ t0, acc3
|
||||
|
||||
XORQ t0, t0
|
||||
XORQ BX, BX
|
||||
// Add bits [511:256] of the sqr result
|
||||
ADCQ acc4, acc0
|
||||
ADCQ acc5, acc1
|
||||
ADCQ y_ptr, acc2
|
||||
ADCQ x_ptr, acc3
|
||||
ADCQ $0, t0
|
||||
ADCXQ acc4, acc0
|
||||
ADCXQ acc5, acc1
|
||||
ADCXQ y_ptr, acc2
|
||||
ADCXQ x_ptr, acc3
|
||||
ADCXQ BX, t0
|
||||
|
||||
p256OrdReduceInline(acc0, acc1, acc2, acc3, t0, acc4, acc5, y_ptr, BX, res_ptr)
|
||||
MOVQ res_ptr, x_ptr
|
||||
|
||||
@ -302,7 +302,9 @@ func p256Sqrt(e, x *p256Element) (isSquare bool) {
|
||||
}
|
||||
|
||||
// The following assembly functions are implemented in p256_asm_*.s
|
||||
var supportBMI2 = cpu.X86.HasBMI2
|
||||
|
||||
// amd64 assembly uses ADCX/ADOX/MULX
|
||||
var supportBMI2 = cpu.X86.HasADX && cpu.X86.HasBMI2
|
||||
|
||||
var supportAVX2 = cpu.X86.HasAVX2
|
||||
|
||||
|
||||
@ -83,6 +83,23 @@ func TestFuzzyP256Mul(t *testing.T) {
|
||||
}
|
||||
}
|
||||
|
||||
func BenchmarkP256Mul(b *testing.B) {
|
||||
p, _ := new(big.Int).SetString("FFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF00000000FFFFFFFFFFFFFFFF", 16)
|
||||
r, _ := new(big.Int).SetString("10000000000000000000000000000000000000000000000000000000000000000", 16)
|
||||
var scalar1 [32]byte
|
||||
io.ReadFull(rand.Reader, scalar1[:])
|
||||
x := new(big.Int).SetBytes(scalar1[:])
|
||||
x1 := new(big.Int).Mul(x, r)
|
||||
x1 = x1.Mod(x1, p)
|
||||
ax := new(p256Element)
|
||||
res := new(p256Element)
|
||||
fromBig(ax, x1)
|
||||
b.ResetTimer()
|
||||
for i := 0; i < b.N; i++ {
|
||||
p256Mul(res, ax, ax)
|
||||
}
|
||||
}
|
||||
|
||||
func p256SqrTest(t *testing.T, x, p, r *big.Int) {
|
||||
x1 := new(big.Int).Mul(x, r)
|
||||
x1 = x1.Mod(x1, p)
|
||||
@ -142,6 +159,7 @@ func BenchmarkP256Sqr(b *testing.B) {
|
||||
ax := new(p256Element)
|
||||
res := new(p256Element)
|
||||
fromBig(ax, x1)
|
||||
b.ResetTimer()
|
||||
for i := 0; i < b.N; i++ {
|
||||
p256Sqr(res, ax, 20)
|
||||
}
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user