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sm2 p256 arm64 reduce multiplication
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Emman
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@ -215,82 +215,57 @@ TEXT ·p256FromMont(SB),NOSPLIT,$0
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LDP 1*16(a_ptr), (acc2, acc3)
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LDP 1*16(a_ptr), (acc2, acc3)
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// Only reduce, no multiplications are needed
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// Only reduce, no multiplications are needed
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// First reduction step
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// First reduction step
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MUL const1, acc0, t0
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LSL $32, acc0, y0
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ADDS t0, acc1, acc1 // (carry1, acc1) = acc1 + L(acc0*p1)
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LSR $32, acc0, y1
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UMULH const1, acc0, y0 // y0 = H(acc0*p1)
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ADDS acc0, acc1, acc1
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ADCS $0, acc2, acc2
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ADCS $0, acc3, acc3
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ADC $0, acc0, acc0
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MUL const2, acc0, t0
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SUBS y0, acc1
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ADCS t0, acc2, acc2 // (carry2, acc2) = acc2 + L(acc0*p2)
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SBCS y1, acc2
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UMULH const2, acc0, hlp0 // hlp0 = H(acc0*p2)
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SBCS y0, acc3
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SBC y1, acc0
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MUL const3, acc0, t0 // t0 = L(acc0*p3)
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ADCS t0, acc3, acc3 // (carry3,acc3) = acc3 + L(acc0*p3)
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UMULH const3, acc0, y1 // y1 = H(acc0*p3)
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ADC $0, y1
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ADDS acc0, acc1, acc1 // (carry4, acc1) = acc0 + acc1 + L(acc0*p1)
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ADCS y0, acc2, acc2 // (carry5, acc2) = carry4 + acc2 + L(acc0*p2) + H(acc0*p1)
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ADCS hlp0, acc3, acc3 // (carry6, acc3) = carry5 + acc3 + L(acc0*p3) + H(acc0*p2)
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ADC $0, y1, acc0 // acc0 = carry6 + H(acc0*p3)
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// Second reduction step
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// Second reduction step
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MUL const1, acc1, t0
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LSL $32, acc1, y0
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ADDS t0, acc2, acc2 // (carry1, acc2) = acc2 + L(acc1*p1)
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LSR $32, acc1, y1
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UMULH const1, acc1, y0 // y0 = H(acc1*p1)
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ADDS acc1, acc2, acc2
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ADCS $0, acc3, acc3
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ADCS $0, acc0, acc0
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ADC $0, acc1, acc1
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MUL const2, acc1, t0
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SUBS y0, acc2
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ADCS t0, acc3, acc3 // (carry2, acc3) = acc3 + L(acc1*p2)
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SBCS y1, acc3
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UMULH const2, acc1, hlp0 // hlp0 = H(acc1*p2)
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SBCS y0, acc0
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SBC y1, acc1
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MUL const3, acc1, t0 // t0 = L(acc1*p3)
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ADCS t0, acc0, acc0 // (carry3,acc0) = acc0 + L(acc1*p3)
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UMULH const3, acc1, y1 // y1 = H(acc1*p3)
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ADC $0, y1
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ADDS acc1, acc2, acc2 // (carry4, acc2) = acc1 + acc2 + L(acc1*p1)
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ADCS y0, acc3, acc3 // (carry5, acc3) = carry4 + acc3 + L(acc1*p2) + H(acc1*p1)
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ADCS hlp0, acc0, acc0 // (carry6, acc0) = carry5 + acc0 + L(acc1*p3) + H(acc1*p2)
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ADC $0, y1, acc1 // acc1 = carry6 + H(acc1*p3)
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// Third reduction step
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// Third reduction step
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MUL const1, acc2, t0
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LSL $32, acc2, y0
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ADDS t0, acc3, acc3 // (carry1, acc3) = acc3 + L(acc2*p1)
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LSR $32, acc2, y1
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UMULH const1, acc2, y0 // y0 = H(acc2*p1)
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ADDS acc2, acc3, acc3
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ADCS $0, acc0, acc0
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ADCS $0, acc1, acc1
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ADC $0, acc2, acc2
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MUL const2, acc2, t0
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SUBS y0, acc3
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ADCS t0, acc0, acc0 // (carry2, acc0) = acc0 + L(acc2*p2)
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SBCS y1, acc0
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UMULH const2, acc2, hlp0 // hlp0 = H(acc2*p2)
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SBCS y0, acc1
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SBC y1, acc2
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MUL const3, acc2, t0 // t0 = L(acc2*p3)
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ADCS t0, acc1, acc1 // (carry3,acc1) = acc1 + L(acc2*p3)
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UMULH const3, acc2, y1 // y1 = H(acc2*p3)
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ADC $0, y1
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ADDS acc2, acc3, acc3 // (carry4, acc3) = acc2 + acc3 + L(acc2*p1)
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ADCS y0, acc0, acc0 // (carry5, acc0) = carry4 + acc0 + L(acc2*p2) + H(acc2*p1)
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ADCS hlp0, acc1, acc1 // (carry6, acc1) = carry5 + acc1 + L(acc2*p3) + H(acc2*p2)
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ADC $0, y1, acc2 // acc2 = carry6 + H(acc2*p3)
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// Last reduction step
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// Last reduction step
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MUL const1, acc3, t0
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LSL $32, acc3, y0
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ADDS t0, acc0, acc0 // (carry1, acc0) = acc0 + L(acc3*p1)
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LSR $32, acc3, y1
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UMULH const1, acc3, y0 // y0 = H(acc3*p1)
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ADDS acc3, acc0, acc0
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ADCS $0, acc1, acc1
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ADCS $0, acc2, acc2
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ADC $0, acc3, acc3
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MUL const2, acc3, t0
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SUBS y0, acc0
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ADCS t0, acc1, acc1 // (carry2, acc1) = acc1 + L(acc3*p2)
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SBCS y1, acc1
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UMULH const2, acc3, hlp0 // hlp0 = H(acc3*p2)
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SBCS y0, acc2
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SBC y1, acc3
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MUL const3, acc3, t0 // t0 = L(acc3*p3)
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ADCS t0, acc2, acc2 // (carry3,acc2) = acc2 + L(acc3*p3)
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UMULH const3, acc3, y1 // y1 = H(acc3*p3)
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ADC $0, y1
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ADDS acc3, acc0, acc0 // (carry4, acc0) = acc3 + acc0 + L(acc3*p1)
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ADCS y0, acc1, acc1 // (carry5, acc1) = carry4 + acc1 + L(acc3*p2) + H(acc3*p1)
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ADCS hlp0, acc2, acc2 // (carry6, acc2) = carry5 + acc2 + L(acc3*p3) + H(acc3*p2)
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ADC $0, y1, acc3 // acc3 = carry6 + H(acc3*p3)
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SUBS const0, acc0, t0
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SUBS const0, acc0, t0
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SBCS const1, acc1, t1
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SBCS const1, acc1, t1
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@ -905,81 +880,57 @@ TEXT sm2P256SqrInternal<>(SB),NOSPLIT,$0
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UMULH x3, x3, t1
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UMULH x3, x3, t1
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ADCS t1, acc7, acc7
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ADCS t1, acc7, acc7
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// First reduction step
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// First reduction step
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MUL const1, acc0, t0
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LSL $32, acc0, y0
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ADDS t0, acc1, acc1 // (carry1, acc1) = acc1 + L(acc0*p1)
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LSR $32, acc0, y1
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UMULH const1, acc0, y0 // y0 = H(acc0*p1)
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ADDS acc0, acc1, acc1
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ADCS $0, acc2, acc2
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ADCS $0, acc3, acc3
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ADC $0, acc0, acc0
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MUL const2, acc0, t0
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SUBS y0, acc1
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ADCS t0, acc2, acc2 // (carry2, acc2) = acc2 + L(acc0*p2)
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SBCS y1, acc2
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UMULH const2, acc0, hlp0 // hlp0 = H(acc0*p2)
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SBCS y0, acc3
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SBC y1, acc0
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MUL const3, acc0, t0 // t0 = L(acc0*p3)
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ADCS t0, acc3, acc3 // (carry3,acc3) = acc3 + L(acc0*p3)
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UMULH const3, acc0, y1 // y1 = H(acc0*p3)
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ADC $0, y1
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ADDS acc0, acc1, acc1 // (carry4, acc1) = acc0 + acc1 + L(acc0*p1)
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ADCS y0, acc2, acc2 // (carry5, acc2) = carry4 + acc2 + L(acc0*p2) + H(acc0*p1)
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ADCS hlp0, acc3, acc3 // (carry6, acc3) = carry5 + acc3 + L(acc0*p3) + H(acc0*p2)
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ADC $0, y1, acc0 // acc0 = carry6 + H(acc0*p3)
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// Second reduction step
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// Second reduction step
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MUL const1, acc1, t0
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LSL $32, acc1, y0
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ADDS t0, acc2, acc2 // (carry1, acc2) = acc2 + L(acc1*p1)
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LSR $32, acc1, y1
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UMULH const1, acc1, y0 // y0 = H(acc1*p1)
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ADDS acc1, acc2, acc2
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ADCS $0, acc3, acc3
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ADCS $0, acc0, acc0
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ADC $0, acc1, acc1
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MUL const2, acc1, t0
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SUBS y0, acc2
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ADCS t0, acc3, acc3 // (carry2, acc3) = acc3 + L(acc1*p2)
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SBCS y1, acc3
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UMULH const2, acc1, hlp0 // hlp0 = H(acc1*p2)
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SBCS y0, acc0
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SBC y1, acc1
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MUL const3, acc1, t0 // t0 = L(acc1*p3)
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ADCS t0, acc0, acc0 // (carry3,acc0) = acc0 + L(acc1*p3)
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UMULH const3, acc1, y1 // y1 = H(acc1*p3)
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ADC $0, y1
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ADDS acc1, acc2, acc2 // (carry4, acc2) = acc1 + acc2 + L(acc1*p1)
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ADCS y0, acc3, acc3 // (carry5, acc3) = carry4 + acc3 + L(acc1*p2) + H(acc1*p1)
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ADCS hlp0, acc0, acc0 // (carry6, acc0) = carry5 + acc0 + L(acc1*p3) + H(acc1*p2)
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ADC $0, y1, acc1 // acc1 = carry6 + H(acc1*p3)
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// Third reduction step
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// Third reduction step
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MUL const1, acc2, t0
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LSL $32, acc2, y0
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ADDS t0, acc3, acc3 // (carry1, acc3) = acc3 + L(acc2*p1)
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LSR $32, acc2, y1
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UMULH const1, acc2, y0 // y0 = H(acc2*p1)
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ADDS acc2, acc3, acc3
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ADCS $0, acc0, acc0
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ADCS $0, acc1, acc1
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ADC $0, acc2, acc2
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MUL const2, acc2, t0
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SUBS y0, acc3
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ADCS t0, acc0, acc0 // (carry2, acc0) = acc0 + L(acc2*p2)
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SBCS y1, acc0
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UMULH const2, acc2, hlp0 // hlp0 = H(acc2*p2)
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SBCS y0, acc1
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SBC y1, acc2
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MUL const3, acc2, t0 // t0 = L(acc2*p3)
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ADCS t0, acc1, acc1 // (carry3,acc1) = acc1 + L(acc2*p3)
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UMULH const3, acc2, y1 // y1 = H(acc2*p3)
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ADC $0, y1
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ADDS acc2, acc3, acc3 // (carry4, acc3) = acc2 + acc3 + L(acc2*p1)
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ADCS y0, acc0, acc0 // (carry5, acc0) = carry4 + acc0 + L(acc2*p2) + H(acc2*p1)
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ADCS hlp0, acc1, acc1 // (carry6, acc1) = carry5 + acc1 + L(acc2*p3) + H(acc2*p2)
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ADC $0, y1, acc2 // acc2 = carry6 + H(acc2*p3)
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// Last reduction step
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// Last reduction step
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MUL const1, acc3, t0
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LSL $32, acc3, y0
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ADDS t0, acc0, acc0 // (carry1, acc0) = acc0 + L(acc3*p1)
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LSR $32, acc3, y1
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UMULH const1, acc3, y0 // y0 = H(acc3*p1)
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ADDS acc3, acc0, acc0
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ADCS $0, acc1, acc1
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ADCS $0, acc2, acc2
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ADC $0, acc3, acc3
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MUL const2, acc3, t0
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SUBS y0, acc0
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ADCS t0, acc1, acc1 // (carry2, acc1) = acc1 + L(acc3*p2)
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SBCS y1, acc1
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UMULH const2, acc3, hlp0 // hlp0 = H(acc3*p2)
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SBCS y0, acc2
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SBC y1, acc3
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MUL const3, acc3, t0 // t0 = L(acc3*p3)
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ADCS t0, acc2, acc2 // (carry3,acc2) = acc2 + L(acc3*p3)
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UMULH const3, acc3, y1 // y1 = H(acc3*p3)
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ADC $0, acc7 // acc7 = carry3 + acc7
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ADDS acc3, acc0, acc0 // (carry4, acc0) = acc3 + acc0 + L(acc3*p1)
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ADCS y0, acc1, acc1 // (carry5, acc1) = carry4 + acc1 + L(acc3*p2) + H(acc3*p1)
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ADCS hlp0, acc2, acc2 // (carry6, acc2) = carry5 + acc2 + L(acc3*p3) + H(acc3*p2)
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ADC $0, y1, acc3 // acc3 = carry6 + H(acc3*p3)
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// Add bits [511:256] of the sqr result
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// Add bits [511:256] of the sqr result
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ADDS acc4, acc0, acc0
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ADDS acc4, acc0, acc0
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@ -1018,24 +969,18 @@ TEXT sm2P256MulInternal<>(SB),NOSPLIT,$0
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UMULH y0, x3, acc4
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UMULH y0, x3, acc4
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ADC $0, acc4
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ADC $0, acc4
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// First reduction step
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// First reduction step
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MUL const1, acc0, t0
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LSL $32, acc0, t0
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ADDS t0, acc1, acc1 // (carry1, acc1) = acc1 + L(acc0*p1)
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LSR $32, acc0, t1
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UMULH const1, acc0, y0 // y0 = H(acc0*p1)
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ADDS acc0, acc1, acc1
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ADCS $0, acc2, acc2
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ADCS $0, acc3, acc3
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ADC $0, acc0, acc0
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MUL const2, acc0, t0
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SUBS t0, acc1
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ADCS t0, acc2, acc2 // (carry2, acc2) = acc2 + L(acc0*p2)
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SBCS t1, acc2
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UMULH const2, acc0, hlp0 // hlp0 = H(acc0*p2)
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SBCS t0, acc3
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SBC t1, acc0
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MUL const3, acc0, t0 // t0 = L(acc0*p3)
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ADCS t0, acc3, acc3 // (carry3,acc3) = acc3 + L(acc0*p3)
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UMULH const3, acc0, acc5 // acc5 = H(acc0*p3)
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ADC $0, acc4 // acc4 = carry3 + acc4
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ADDS acc0, acc1, acc1 // (carry4, acc1) = acc0 + acc1 + L(acc0*p1)
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ADCS y0, acc2, acc2 // (carry5, acc2) = carry4 + acc2 + L(acc0*p2) + H(acc0*p1)
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ADCS hlp0, acc3, acc3 // (carry6, acc3) = carry5 + acc3 + L(acc0*p3) + H(acc0*p2)
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ADC $0, acc5, acc0 // acc0 = carry6 + H(acc0*p3)
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// y[1] * x
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// y[1] * x
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MUL y1, x0, t0
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MUL y1, x0, t0
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@ -1060,24 +1005,18 @@ TEXT sm2P256MulInternal<>(SB),NOSPLIT,$0
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ADCS acc6, acc4
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ADCS acc6, acc4
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ADC hlp0, acc5
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ADC hlp0, acc5
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// Second reduction step
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// Second reduction step
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MUL const1, acc1, t0
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LSL $32, acc1, t0
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ADDS t0, acc2, acc2 // (carry1, acc2) = acc2 + L(acc1*p1)
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LSR $32, acc1, t1
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UMULH const1, acc1, y0 // y0 = H(acc1*p1)
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ADDS acc1, acc2, acc2
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ADCS $0, acc3, acc3
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ADCS $0, acc0, acc0
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ADC $0, acc1, acc1
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MUL const2, acc1, t0
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SUBS t0, acc2
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ADCS t0, acc3, acc3 // (carry2, acc3) = acc3 + L(acc1*p2)
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SBCS t1, acc3
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UMULH const2, acc1, hlp0 // hlp0 = H(acc1*p2)
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SBCS t0, acc0
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SBC t1, acc1
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MUL const3, acc1, t0 // t0 = L(acc1*p3)
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ADCS t0, acc0, acc0 // (carry3,acc0) = acc0 + L(acc1*p3)
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UMULH const3, acc1, y1 // y1 = H(acc1*p3)
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ADC $0, acc5 // acc5 = carry3 + acc5
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ADDS acc1, acc2, acc2 // (carry4, acc2) = acc1 + acc2 + L(acc1*p1)
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ADCS y0, acc3, acc3 // (carry5, acc3) = carry4 + acc3 + L(acc1*p2) + H(acc1*p1)
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ADCS hlp0, acc0, acc0 // (carry6, acc0) = carry5 + acc0 + L(acc1*p3) + H(acc1*p2)
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||||||
ADC $0, y1, acc1 // acc1 = carry6 + H(acc1*p3)
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// y[2] * x
|
// y[2] * x
|
||||||
MUL y2, x0, t0
|
MUL y2, x0, t0
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||||||
@ -1102,24 +1041,18 @@ TEXT sm2P256MulInternal<>(SB),NOSPLIT,$0
|
|||||||
ADCS y1, acc5
|
ADCS y1, acc5
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||||||
ADC hlp0, acc6
|
ADC hlp0, acc6
|
||||||
// Third reduction step
|
// Third reduction step
|
||||||
MUL const1, acc2, t0
|
LSL $32, acc2, t0
|
||||||
ADDS t0, acc3, acc3 // (carry1, acc3) = acc3 + L(acc2*p1)
|
LSR $32, acc2, t1
|
||||||
UMULH const1, acc2, y0 // y0 = H(acc2*p1)
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|
||||||
|
ADDS acc2, acc3, acc3
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||||||
|
ADCS $0, acc0, acc0
|
||||||
|
ADCS $0, acc1, acc1
|
||||||
|
ADC $0, acc2, acc2
|
||||||
|
|
||||||
MUL const2, acc2, t0
|
SUBS t0, acc3
|
||||||
ADCS t0, acc0, acc0 // (carry2, acc0) = acc0 + L(acc2*p2)
|
SBCS t1, acc0
|
||||||
UMULH const2, acc2, hlp0 // hlp0 = H(acc2*p2)
|
SBCS t0, acc1
|
||||||
|
SBC t1, acc2
|
||||||
MUL const3, acc2, t0 // t0 = L(acc2*p3)
|
|
||||||
ADCS t0, acc1, acc1 // (carry3,acc1) = acc1 + L(acc2*p3)
|
|
||||||
|
|
||||||
UMULH const3, acc2, y1 // y1 = H(acc2*p3)
|
|
||||||
ADC $0, acc6 // acc6 = carry3 + acc6
|
|
||||||
|
|
||||||
ADDS acc2, acc3, acc3 // (carry4, acc3) = acc2 + acc3 + L(acc2*p1)
|
|
||||||
ADCS y0, acc0, acc0 // (carry5, acc0) = carry4 + acc0 + L(acc2*p2) + H(acc2*p1)
|
|
||||||
ADCS hlp0, acc1, acc1 // (carry6, acc1) = carry5 + acc1 + L(acc2*p3) + H(acc2*p2)
|
|
||||||
ADC $0, y1, acc2 // acc2 = carry6 + H(acc2*p3)
|
|
||||||
|
|
||||||
// y[3] * x
|
// y[3] * x
|
||||||
MUL y3, x0, t0
|
MUL y3, x0, t0
|
||||||
@ -1144,24 +1077,18 @@ TEXT sm2P256MulInternal<>(SB),NOSPLIT,$0
|
|||||||
ADCS y1, acc6
|
ADCS y1, acc6
|
||||||
ADC hlp0, acc7
|
ADC hlp0, acc7
|
||||||
// Last reduction step
|
// Last reduction step
|
||||||
MUL const1, acc3, t0
|
LSL $32, acc3, t0
|
||||||
ADDS t0, acc0, acc0 // (carry1, acc0) = acc0 + L(acc3*p1)
|
LSR $32, acc3, t1
|
||||||
UMULH const1, acc3, y0 // y0 = H(acc3*p1)
|
|
||||||
|
ADDS acc3, acc0, acc0
|
||||||
|
ADCS $0, acc1, acc1
|
||||||
|
ADCS $0, acc2, acc2
|
||||||
|
ADC $0, acc3, acc3
|
||||||
|
|
||||||
MUL const2, acc3, t0
|
SUBS t0, acc0
|
||||||
ADCS t0, acc1, acc1 // (carry2, acc1) = acc1 + L(acc3*p2)
|
SBCS t1, acc1
|
||||||
UMULH const2, acc3, hlp0 // hlp0 = H(acc3*p2)
|
SBCS t0, acc2
|
||||||
|
SBC t1, acc3
|
||||||
MUL const3, acc3, t0 // t0 = L(acc3*p3)
|
|
||||||
ADCS t0, acc2, acc2 // (carry3,acc2) = acc2 + L(acc3*p3)
|
|
||||||
|
|
||||||
UMULH const3, acc3, y1 // y1 = H(acc3*p3)
|
|
||||||
ADC $0, acc7 // acc7 = carry3 + acc7
|
|
||||||
|
|
||||||
ADDS acc3, acc0, acc0 // (carry4, acc0) = acc3 + acc0 + L(acc3*p1)
|
|
||||||
ADCS y0, acc1, acc1 // (carry5, acc1) = carry4 + acc1 + L(acc3*p2) + H(acc3*p1)
|
|
||||||
ADCS hlp0, acc2, acc2 // (carry6, acc2) = carry5 + acc2 + L(acc3*p3) + H(acc3*p2)
|
|
||||||
ADC $0, y1, acc3 // acc3 = carry6 + H(acc3*p3)
|
|
||||||
|
|
||||||
// Add bits [511:256] of the mul result
|
// Add bits [511:256] of the mul result
|
||||||
ADDS acc4, acc0, acc0
|
ADDS acc4, acc0, acc0
|
||||||
|
|||||||
Loading…
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Reference in New Issue
Block a user