//go:build arm64 && !generic && !generic32 && !generic64 // +build arm64 // +build !generic // +build !generic32 // +build !generic64 // Copyright 2018 The Go Authors. All rights reserved. // Use of this source code is governed by a BSD-style // license that can be found in the LICENSE file. // This file contains constant-time, 64-bit assembly implementation of // c256. The optimizations performed here are described in detail in: // S.Gueron and V.Krasnov, "Fast prime field elliptic-curve cryptography with // 256-bit primes" // http://link.springer.com/article/10.1007%2Fs13389-014-0090-x // https://eprint.iacr.org/2013/816.pdf // Copyright (c) 2018 xdx. All rights reserved. // Written by xdx. // sm2p256v1曲线arm64平台汇编实现。参考golang标准库。 #include "textflag.h" #define res_ptr R0 #define a_ptr R1 #define b_ptr R2 #define acc0 R3 #define acc1 R4 #define acc2 R5 #define acc3 R6 #define acc4 R7 #define acc5 R8 #define acc6 R9 #define acc7 R10 #define t0 R11 #define t1 R12 #define t2 R13 #define t3 R14 #define const0 R15 #define const1 R16 #define hlp0 R17 #define hlp1 res_ptr #define x0 R19 #define x1 R20 #define x2 R21 #define x3 R22 #define y0 R23 #define y1 R24 #define y2 R25 #define y3 R26 #define const2 t2 #define const3 t3 // sm2 p = 0xfffffffeffffffff ffffffffffffffff ffffffff00000000 ffffffffffffffff // Note: // load p to registers: // MOVD $-1, acc0 // MOVD c256const1<>(SB), acc1 // MOVD $-1, acc2 // MOVD c256const3<>(SB), acc3 // c256const0 and c256const2 may not needed. DATA c256const0<>+0x00(SB)/8, $0xffffffffffffffff DATA c256const1<>+0x00(SB)/8, $0xffffffff00000000 DATA c256const2<>+0x00(SB)/8, $0xffffffffffffffff DATA c256const3<>+0x00(SB)/8, $0xfffffffeffffffff // k0 * ord[0] = -1 mod 2^{64}, k0 = -ord[0]^{-1} mod B DATA c256ordK0<>+0x00(SB)/8, $0x327f9e8872350975 // N DATA c256ord<>+0x00(SB)/8, $0x53bbf40939d54123 DATA c256ord<>+0x08(SB)/8, $0x7203df6b21c6052b DATA c256ord<>+0x10(SB)/8, $0xffffffffffffffff DATA c256ord<>+0x18(SB)/8, $0xfffffffeffffffff // 1*R mod p DATA c256one<>+0x00(SB)/8, $0x0000000000000001 DATA c256one<>+0x08(SB)/8, $0x00000000ffffffff DATA c256one<>+0x10(SB)/8, $0x0000000000000000 DATA c256one<>+0x18(SB)/8, $0x0000000100000000 GLOBL c256const0<>(SB), 8, $8 GLOBL c256const1<>(SB), 8, $8 GLOBL c256const2<>(SB), 8, $8 GLOBL c256const3<>(SB), 8, $8 GLOBL c256ordK0<>(SB), 8, $8 GLOBL c256ord<>(SB), 8, $32 GLOBL c256one<>(SB), 8, $32 // acc[1,2,3,0] = acc[0,1,2,3] / R mod p = (acc[0,1,2,3] + acc0 * p) >> 64. // note that acc[0,1,2,3] + acc0 * p = 0 mod 2^64. #define montReduceQW(r0, r1, r2, r3, t0, t1) \ LSL $32, r0, t0 \ LSR $32, r0, t1 \ ADDS r0, r1, r1 \ ADCS r2, ZR, r2 \ ADCS r3, ZR, r3 \ ADCS r0, ZR, r0 \ SUBS t0, r1, r1 \ SBCS t1, r2, r2 \ SBCS t0, r3, r3 \ SBCS t1, r0, r0 \ /* ---------------------------------------*/ // func c256LittleToBig(res []byte, in []uint64) TEXT ·c256LittleToBig(SB),NOSPLIT,$0 JMP ·c256BigToLittle(SB) /* ---------------------------------------*/ // func c256BigToLittle(res []uint64, in []byte) TEXT ·c256BigToLittle(SB),NOSPLIT,$0 MOVD res+0(FP), res_ptr MOVD in+24(FP), a_ptr LDP 0*16(a_ptr), (acc0, acc1) LDP 1*16(a_ptr), (acc2, acc3) REV acc0, acc0 REV acc1, acc1 REV acc2, acc2 REV acc3, acc3 STP (acc3, acc2), 0*16(res_ptr) STP (acc1, acc0), 1*16(res_ptr) RET /* ---------------------------------------*/ // func c256MovCond(res, a, b []uint64, cond int) // If cond == 0 res=b, else res=a TEXT ·c256MovCond(SB),NOSPLIT,$0 MOVD res+0(FP), res_ptr MOVD a+24(FP), a_ptr MOVD b+48(FP), b_ptr MOVD cond+72(FP), R3 CMP $0, R3 // Two remarks: // 1) Will want to revisit NEON, when support is better // 2) CSEL might not be constant time on all ARM processors LDP 0*16(a_ptr), (R4, R5) LDP 1*16(a_ptr), (R6, R7) LDP 2*16(a_ptr), (R8, R9) LDP 0*16(b_ptr), (R16, R17) LDP 1*16(b_ptr), (R19, R20) LDP 2*16(b_ptr), (R21, R22) CSEL EQ, R16, R4, R4 CSEL EQ, R17, R5, R5 CSEL EQ, R19, R6, R6 CSEL EQ, R20, R7, R7 CSEL EQ, R21, R8, R8 CSEL EQ, R22, R9, R9 STP (R4, R5), 0*16(res_ptr) STP (R6, R7), 1*16(res_ptr) STP (R8, R9), 2*16(res_ptr) LDP 3*16(a_ptr), (R4, R5) LDP 4*16(a_ptr), (R6, R7) LDP 5*16(a_ptr), (R8, R9) LDP 3*16(b_ptr), (R16, R17) LDP 4*16(b_ptr), (R19, R20) LDP 5*16(b_ptr), (R21, R22) CSEL EQ, R16, R4, R4 CSEL EQ, R17, R5, R5 CSEL EQ, R19, R6, R6 CSEL EQ, R20, R7, R7 CSEL EQ, R21, R8, R8 CSEL EQ, R22, R9, R9 STP (R4, R5), 3*16(res_ptr) STP (R6, R7), 4*16(res_ptr) STP (R8, R9), 5*16(res_ptr) RET /* ---------------------------------------*/ // func c256NegCond(val []uint64, cond int) // iff cond != 0 val <- -val TEXT ·c256NegCond(SB),NOSPLIT,$0 MOVD val+0(FP), a_ptr MOVD cond+24(FP), hlp0 MOVD a_ptr, res_ptr // acc = p MOVD $-1, acc0 MOVD c256const1<>(SB), acc1 MOVD $-1, acc2 MOVD c256const3<>(SB), acc3 // Load the original value LDP 0*16(a_ptr), (t0, t1) LDP 1*16(a_ptr), (t2, t3) // Speculatively subtract SUBS t0, acc0 SBCS t1, acc1 SBCS t2, acc2 SBC t3, acc3 // If condition is 0, keep original value CMP $0, hlp0 CSEL EQ, t0, acc0, acc0 CSEL EQ, t1, acc1, acc1 CSEL EQ, t2, acc2, acc2 CSEL EQ, t3, acc3, acc3 // Store result STP (acc0, acc1), 0*16(res_ptr) STP (acc2, acc3), 1*16(res_ptr) RET /* ---------------------------------------*/ // func c256Sqr(res, in []uint64, n int) TEXT ·c256Sqr(SB),NOSPLIT,$0 MOVD res+0(FP), res_ptr MOVD in+24(FP), a_ptr MOVD n+48(FP), b_ptr LDP 0*16(a_ptr), (x0, x1) LDP 1*16(a_ptr), (x2, x3) sqrLoop: SUB $1, b_ptr CALL c256SqrInternal<>(SB) MOVD y0, x0 MOVD y1, x1 MOVD y2, x2 MOVD y3, x3 CBNZ b_ptr, sqrLoop STP (y0, y1), 0*16(res_ptr) STP (y2, y3), 1*16(res_ptr) RET /* ---------------------------------------*/ // func c256Mul(res, in1, in2 []uint64) TEXT ·c256Mul(SB),NOSPLIT,$0 MOVD res+0(FP), res_ptr MOVD in1+24(FP), a_ptr MOVD in2+48(FP), b_ptr LDP 0*16(a_ptr), (x0, x1) LDP 1*16(a_ptr), (x2, x3) LDP 0*16(b_ptr), (y0, y1) LDP 1*16(b_ptr), (y2, y3) CALL c256MulInternal<>(SB) STP (y0, y1), 0*16(res_ptr) STP (y2, y3), 1*16(res_ptr) RET #define minusOne acc5 /* ---------------------------------------*/ // func c256FromMont(res, in []uint64) TEXT ·c256FromMont(SB),NOSPLIT,$0 MOVD res+0(FP), res_ptr MOVD in+24(FP), a_ptr LDP 0*16(a_ptr), (acc0, acc1) LDP 1*16(a_ptr), (acc2, acc3) montReduceQW(acc0, acc1, acc2, acc3, t0, t1) montReduceQW(acc1, acc2, acc3, acc0, t0, t1) montReduceQW(acc2, acc3, acc0, acc1, t0, t1) montReduceQW(acc3, acc0, acc1, acc2, t0, t1) // sub p MOVD c256const1<>(SB), const0 MOVD c256const3<>(SB), const1 MOVD $-1, minusOne SUBS minusOne, acc0, t0 SBCS const0, acc1, t1 SBCS minusOne, acc2, t2 SBCS const1, acc3, t3 CSEL CS, t0, acc0, acc0 CSEL CS, t1, acc1, acc1 CSEL CS, t2, acc2, acc2 CSEL CS, t3, acc3, acc3 STP (acc0, acc1), 0*16(res_ptr) STP (acc2, acc3), 1*16(res_ptr) RET #undef minusOne /* ---------------------------------------*/ // Constant time point access to arbitrary point table. // Indexed from 1 to 15, with -1 offset // (index 0 is implicitly point at infinity) // func c256Select(point, table []uint64, idx int) TEXT ·c256Select(SB),NOSPLIT,$0 MOVD idx+48(FP), const0 MOVD table+24(FP), b_ptr MOVD point+0(FP), res_ptr EOR x0, x0, x0 EOR x1, x1, x1 EOR x2, x2, x2 EOR x3, x3, x3 EOR y0, y0, y0 EOR y1, y1, y1 EOR y2, y2, y2 EOR y3, y3, y3 EOR t0, t0, t0 EOR t1, t1, t1 EOR t2, t2, t2 EOR t3, t3, t3 MOVD $0, const1 loop_select: ADD $1, const1 CMP const0, const1 LDP.P 16(b_ptr), (acc0, acc1) CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 LDP.P 16(b_ptr), (acc2, acc3) CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 LDP.P 16(b_ptr), (acc4, acc5) CSEL EQ, acc4, y0, y0 CSEL EQ, acc5, y1, y1 LDP.P 16(b_ptr), (acc6, acc7) CSEL EQ, acc6, y2, y2 CSEL EQ, acc7, y3, y3 LDP.P 16(b_ptr), (acc0, acc1) CSEL EQ, acc0, t0, t0 CSEL EQ, acc1, t1, t1 LDP.P 16(b_ptr), (acc2, acc3) CSEL EQ, acc2, t2, t2 CSEL EQ, acc3, t3, t3 CMP $16, const1 BNE loop_select STP (x0, x1), 0*16(res_ptr) STP (x2, x3), 1*16(res_ptr) STP (y0, y1), 2*16(res_ptr) STP (y2, y3), 3*16(res_ptr) STP (t0, t1), 4*16(res_ptr) STP (t2, t3), 5*16(res_ptr) RET /* ---------------------------------------*/ // Constant time point access to base point table. // Note that the base point table is affine points // // func c256SelectBase(point, table []uint64, idx int) TEXT ·c256SelectBase(SB),NOSPLIT,$0 MOVD idx+48(FP), t0 MOVD table+24(FP), t1 MOVD point+0(FP), res_ptr EOR x0, x0, x0 EOR x1, x1, x1 EOR x2, x2, x2 EOR x3, x3, x3 EOR y0, y0, y0 EOR y1, y1, y1 EOR y2, y2, y2 EOR y3, y3, y3 MOVD $0, t2 loop_select: ADD $1, t2 CMP t0, t2 LDP.P 16(t1), (acc0, acc1) CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 LDP.P 16(t1), (acc2, acc3) CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 LDP.P 16(t1), (acc4, acc5) CSEL EQ, acc4, y0, y0 CSEL EQ, acc5, y1, y1 LDP.P 16(t1), (acc6, acc7) CSEL EQ, acc6, y2, y2 CSEL EQ, acc7, y3, y3 CMP $32, t2 BNE loop_select STP (x0, x1), 0*16(res_ptr) STP (x2, x3), 1*16(res_ptr) STP (y0, y1), 2*16(res_ptr) STP (y2, y3), 3*16(res_ptr) RET /* ---------------------------------------*/ // func c256OrdSqr(res, in []uint64, n int) TEXT ·c256OrdSqr(SB),NOSPLIT,$0 MOVD in+24(FP), a_ptr MOVD n+48(FP), b_ptr MOVD c256ordK0<>(SB), hlp1 LDP c256ord<>+0x00(SB), (const0, const1) LDP c256ord<>+0x10(SB), (const2, const3) LDP 0*16(a_ptr), (x0, x1) LDP 1*16(a_ptr), (x2, x3) ordSqrLoop: SUB $1, b_ptr // x[1:] * x[0] MUL x0, x1, acc1 UMULH x0, x1, acc2 MUL x0, x2, t0 ADDS t0, acc2, acc2 UMULH x0, x2, acc3 MUL x0, x3, t0 ADCS t0, acc3, acc3 UMULH x0, x3, acc4 ADC $0, acc4, acc4 // x[2:] * x[1] MUL x1, x2, t0 ADDS t0, acc3 UMULH x1, x2, t1 ADCS t1, acc4 ADC $0, ZR, acc5 MUL x1, x3, t0 ADDS t0, acc4 UMULH x1, x3, t1 ADC t1, acc5 // x[3] * x[2] MUL x2, x3, t0 ADDS t0, acc5 UMULH x2, x3, acc6 ADC $0, acc6 MOVD $0, acc7 // *2 ADDS acc1, acc1 ADCS acc2, acc2 ADCS acc3, acc3 ADCS acc4, acc4 ADCS acc5, acc5 ADCS acc6, acc6 ADC $0, acc7 // Missing products MUL x0, x0, acc0 UMULH x0, x0, t0 ADDS t0, acc1, acc1 MUL x1, x1, t0 ADCS t0, acc2, acc2 UMULH x1, x1, t1 ADCS t1, acc3, acc3 MUL x2, x2, t0 ADCS t0, acc4, acc4 UMULH x2, x2, t1 ADCS t1, acc5, acc5 MUL x3, x3, t0 ADCS t0, acc6, acc6 UMULH x3, x3, t1 ADC t1, acc7, acc7 // Now the product is in acc[0:8] // First reduction step - acc[0:8] + (k0*acc0 mod B) * Ord MUL acc0, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc0, acc0 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc1, acc1 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc2, acc2 UMULH const2, hlp0, acc0 MUL const3, hlp0, t0 ADCS t0, acc3, acc3 UMULH const3, hlp0, hlp0 ADC $0, hlp0 ADDS t1, acc1, acc1 ADCS y0, acc2, acc2 ADCS acc0, acc3, acc3 ADC $0, hlp0, acc0 // Second reduction step MUL acc1, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc1, acc1 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc2, acc2 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc3, acc3 UMULH const2, hlp0, acc1 MUL const3, hlp0, t0 ADCS t0, acc0, acc0 UMULH const3, hlp0, hlp0 ADC $0, hlp0 ADDS t1, acc2, acc2 ADCS y0, acc3, acc3 ADCS acc1, acc0, acc0 ADC $0, hlp0, acc1 // Third reduction step MUL acc2, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc2, acc2 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc3, acc3 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc0, acc0 UMULH const2, hlp0, acc2 MUL const3, hlp0, t0 ADCS t0, acc1, acc1 UMULH const3, hlp0, hlp0 ADC $0, hlp0 ADDS t1, acc3, acc3 ADCS y0, acc0, acc0 ADCS acc2, acc1, acc1 ADC $0, hlp0, acc2 // Last reduction step MUL acc3, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc3, acc3 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc0, acc0 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc1, acc1 UMULH const2, hlp0, acc3 MUL const3, hlp0, t0 ADCS t0, acc2, acc2 UMULH const3, hlp0, hlp0 ADC $0, acc7 ADDS t1, acc0, acc0 ADCS y0, acc1, acc1 ADCS acc3, acc2, acc2 ADC $0, hlp0, acc3 ADDS acc4, acc0, acc0 ADCS acc5, acc1, acc1 ADCS acc6, acc2, acc2 ADCS acc7, acc3, acc3 ADC $0, ZR, acc4 SUBS const0, acc0, y0 SBCS const1, acc1, y1 SBCS const2, acc2, y2 SBCS const3, acc3, y3 SBCS $0, acc4, acc4 CSEL CS, y0, acc0, x0 CSEL CS, y1, acc1, x1 CSEL CS, y2, acc2, x2 CSEL CS, y3, acc3, x3 CBNZ b_ptr, ordSqrLoop MOVD res+0(FP), res_ptr STP (x0, x1), 0*16(res_ptr) STP (x2, x3), 1*16(res_ptr) RET /* ---------------------------------------*/ // func c256OrdMul(res, in1, in2 []uint64) TEXT ·c256OrdMul(SB),NOSPLIT,$0 MOVD in1+24(FP), a_ptr MOVD in2+48(FP), b_ptr MOVD c256ordK0<>(SB), hlp1 LDP c256ord<>+0x00(SB), (const0, const1) LDP c256ord<>+0x10(SB), (const2, const3) LDP 0*16(a_ptr), (x0, x1) LDP 1*16(a_ptr), (x2, x3) LDP 0*16(b_ptr), (y0, y1) LDP 1*16(b_ptr), (y2, y3) // y[0] * x MUL y0, x0, acc0 UMULH y0, x0, acc1 MUL y0, x1, t0 ADDS t0, acc1 UMULH y0, x1, acc2 MUL y0, x2, t0 ADCS t0, acc2 UMULH y0, x2, acc3 MUL y0, x3, t0 ADCS t0, acc3 UMULH y0, x3, acc4 ADC $0, acc4 // First reduction step // [acc0, acc1, acc2, acc3, acc4] += (acc0 * k0 mod B) * N // also rotate the acc0, acc1, acc2, acc3 => acc1, acc2, acc3, acc0 MUL acc0, hlp1, hlp0 // golib: hlp1? - should be a bug, but it matters? // MUL const0, hlp1, t0 MUL const0, hlp0, t0 ADDS t0, acc0, acc0 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc1, acc1 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc2, acc2 UMULH const2, hlp0, acc0 MUL const3, hlp0, t0 ADCS t0, acc3, acc3 UMULH const3, hlp0, hlp0 ADC $0, acc4 ADDS t1, acc1, acc1 ADCS y0, acc2, acc2 ADCS acc0, acc3, acc3 ADC $0, hlp0, acc0 // y[1] * x MUL y1, x0, t0 ADDS t0, acc1 UMULH y1, x0, t1 MUL y1, x1, t0 ADCS t0, acc2 UMULH y1, x1, hlp0 MUL y1, x2, t0 ADCS t0, acc3 UMULH y1, x2, y0 MUL y1, x3, t0 ADCS t0, acc4 UMULH y1, x3, y1 ADC $0, ZR, acc5 ADDS t1, acc2 ADCS hlp0, acc3 ADCS y0, acc4 ADC y1, acc5 // Second reduction step MUL acc1, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc1, acc1 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc2, acc2 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc3, acc3 UMULH const2, hlp0, acc1 MUL const3, hlp0, t0 ADCS t0, acc0, acc0 UMULH const3, hlp0, hlp0 ADC $0, acc5 ADDS t1, acc2, acc2 ADCS y0, acc3, acc3 ADCS acc1, acc0, acc0 ADC $0, hlp0, acc1 // y[2] * x MUL y2, x0, t0 ADDS t0, acc2 UMULH y2, x0, t1 MUL y2, x1, t0 ADCS t0, acc3 UMULH y2, x1, hlp0 MUL y2, x2, t0 ADCS t0, acc4 UMULH y2, x2, y0 MUL y2, x3, t0 ADCS t0, acc5 UMULH y2, x3, y1 ADC $0, ZR, acc6 ADDS t1, acc3 ADCS hlp0, acc4 ADCS y0, acc5 ADC y1, acc6 // Third reduction step MUL acc2, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc2, acc2 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc3, acc3 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc0, acc0 UMULH const2, hlp0, acc2 MUL const3, hlp0, t0 ADCS t0, acc1, acc1 UMULH const3, hlp0, hlp0 ADC $0, acc6 ADDS t1, acc3, acc3 ADCS y0, acc0, acc0 ADCS acc2, acc1, acc1 ADC $0, hlp0, acc2 // y[3] * x MUL y3, x0, t0 ADDS t0, acc3 UMULH y3, x0, t1 MUL y3, x1, t0 ADCS t0, acc4 UMULH y3, x1, hlp0 MUL y3, x2, t0 ADCS t0, acc5 UMULH y3, x2, y0 MUL y3, x3, t0 ADCS t0, acc6 UMULH y3, x3, y1 ADC $0, ZR, acc7 ADDS t1, acc4 ADCS hlp0, acc5 ADCS y0, acc6 ADC y1, acc7 // Last reduction step MUL acc3, hlp1, hlp0 MUL const0, hlp1, t0 ADDS t0, acc3, acc3 UMULH const0, hlp0, t1 MUL const1, hlp0, t0 ADCS t0, acc0, acc0 UMULH const1, hlp0, y0 MUL const2, hlp0, t0 ADCS t0, acc1, acc1 UMULH const2, hlp0, acc3 MUL const3, hlp0, t0 ADCS t0, acc2, acc2 UMULH const3, hlp0, hlp0 ADC $0, acc7 ADDS t1, acc0, acc0 ADCS y0, acc1, acc1 ADCS acc3, acc2, acc2 ADC $0, hlp0, acc3 ADDS acc4, acc0, acc0 ADCS acc5, acc1, acc1 ADCS acc6, acc2, acc2 ADCS acc7, acc3, acc3 ADC $0, ZR, acc4 SUBS const0, acc0, t0 SBCS const1, acc1, t1 SBCS const2, acc2, t2 SBCS const3, acc3, t3 SBCS $0, acc4, acc4 CSEL CS, t0, acc0, acc0 CSEL CS, t1, acc1, acc1 CSEL CS, t2, acc2, acc2 CSEL CS, t3, acc3, acc3 MOVD res+0(FP), res_ptr STP (acc0, acc1), 0*16(res_ptr) STP (acc2, acc3), 1*16(res_ptr) RET /* ---------------------------------------*/ // x = y - x TEXT c256SubInternal<>(SB),NOSPLIT,$0 SUBS x0, y0, acc0 SBCS x1, y1, acc1 SBCS x2, y2, acc2 SBCS x3, y3, acc3 SBC $0, ZR, t0 ADDS $-1, acc0, acc4 MOVD c256const1<>(SB), acc5 ADCS acc5, acc1, acc5 MOVD $-1, acc6 ADCS acc6, acc2, acc6 MOVD c256const3<>(SB), acc7 ADC acc7, acc3, acc7 ANDS $1, t0 CSEL EQ, acc0, acc4, x0 CSEL EQ, acc1, acc5, x1 CSEL EQ, acc2, acc6, x2 CSEL EQ, acc3, acc7, x3 RET /* ---------------------------------------*/ // y[0:3] = x[0:3] ^ 2 / R mod p TEXT c256SqrInternal<>(SB),NOSPLIT,$0 // x[1:] * x[0] MUL x0, x1, acc1 UMULH x0, x1, acc2 MUL x0, x2, t0 ADDS t0, acc2, acc2 UMULH x0, x2, acc3 MUL x0, x3, t0 ADCS t0, acc3, acc3 UMULH x0, x3, acc4 ADC $0, acc4, acc4 // x[2:] * x[1] MUL x1, x2, t0 ADDS t0, acc3 UMULH x1, x2, t1 ADCS t1, acc4 ADC $0, ZR, acc5 MUL x1, x3, t0 ADDS t0, acc4 UMULH x1, x3, t1 ADC t1, acc5 // x[3] * x[2] MUL x2, x3, t0 ADDS t0, acc5 UMULH x2, x3, acc6 ADC $0, acc6 MOVD $0, acc7 // *2 ADDS acc1, acc1 ADCS acc2, acc2 ADCS acc3, acc3 ADCS acc4, acc4 ADCS acc5, acc5 ADCS acc6, acc6 ADC $0, acc7 // Missing products MUL x0, x0, acc0 UMULH x0, x0, t0 ADDS t0, acc1, acc1 MUL x1, x1, t0 ADCS t0, acc2, acc2 UMULH x1, x1, t1 ADCS t1, acc3, acc3 MUL x2, x2, t0 ADCS t0, acc4, acc4 UMULH x2, x2, t1 ADCS t1, acc5, acc5 MUL x3, x3, t0 ADCS t0, acc6, acc6 UMULH x3, x3, t1 ADCS t1, acc7, acc7 // Reduction step // Let r = 2^64, acc[0:3] / r mod p montReduceQW(acc0, acc1, acc2, acc3, t0, t1) montReduceQW(acc1, acc2, acc3, acc0, t0, t1) montReduceQW(acc2, acc3, acc0, acc1, t0, t1) montReduceQW(acc3, acc0, acc1, acc2, t0, t1) // Add bits [511:256] of the sqr result ADDS acc4, acc0, acc0 ADCS acc5, acc1, acc1 ADCS acc6, acc2, acc2 ADCS acc7, acc3, acc3 ADC $0, ZR, acc4 // sub p if necessary, p = [y2, y0, y2, y0] MOVD c256const1<>(SB), y0 MOVD c256const3<>(SB), y1 MOVD $-1, y2 SUBS $-1, acc0, t0 SBCS y0, acc1, t1 SBCS y2, acc2, t2 SBCS y1, acc3, t3 SBCS $0, acc4, acc4 CSEL CS, t0, acc0, y0 CSEL CS, t1, acc1, y1 CSEL CS, t2, acc2, y2 CSEL CS, t3, acc3, y3 RET /* ---------------------------------------*/ // y[0:3] = x[0:3] * y[0:3] / R // 先计算acc[0:7] = x[0:3] * y[0:3] // 再计算 acc[4:7] + (acc[0:3] + acc0*p)/R // 注意:与amd64不同的是, amd64平台下寄存器不够,因此采用 // x*y = ((((y[0]*x)/r + y[1]*x)/r + y[2]*x)/r + y[3]*x)/r // 只需要acc0~acc5, 少用两个寄存器 TEXT c256MulInternal<>(SB),NOSPLIT,$0 // acc[0:4] = y[0] * x MUL y0, x0, acc0 UMULH y0, x0, acc1 MUL y0, x1, t0 ADDS t0, acc1 UMULH y0, x1, acc2 MUL y0, x2, t0 ADCS t0, acc2 UMULH y0, x2, acc3 MUL y0, x3, t0 ADCS t0, acc3 UMULH y0, x3, acc4 ADC $0, acc4 // y[1] * x MUL y1, x0, t0 ADDS t0, acc1 UMULH y1, x0, t1 MUL y1, x1, t0 ADCS t0, acc2 UMULH y1, x1, t2 MUL y1, x2, t0 ADCS t0, acc3 UMULH y1, x2, t3 MUL y1, x3, t0 ADCS t0, acc4 UMULH y1, x3, hlp0 ADC $0, ZR, acc5 ADDS t1, acc2 ADCS t2, acc3 ADCS t3, acc4 ADC hlp0, acc5 // y[2] * x MUL y2, x0, t0 ADDS t0, acc2 UMULH y2, x0, t1 MUL y2, x1, t0 ADCS t0, acc3 UMULH y2, x1, t2 MUL y2, x2, t0 ADCS t0, acc4 UMULH y2, x2, t3 MUL y2, x3, t0 ADCS t0, acc5 UMULH y2, x3, hlp0 ADC $0, ZR, acc6 ADDS t1, acc3 ADCS t2, acc4 ADCS t3, acc5 ADC hlp0, acc6 // Third reduction step // montReduceQW(acc2, acc3, acc0, acc1, t0, t1) // y[3] * x MUL y3, x0, t0 ADDS t0, acc3 UMULH y3, x0, t1 MUL y3, x1, t0 ADCS t0, acc4 UMULH y3, x1, t2 MUL y3, x2, t0 ADCS t0, acc5 UMULH y3, x2, t3 MUL y3, x3, t0 ADCS t0, acc6 UMULH y3, x3, hlp0 ADC $0, ZR, acc7 ADDS t1, acc4 ADCS t2, acc5 ADCS t3, acc6 ADC hlp0, acc7 // Reduction step montReduceQW(acc0, acc1, acc2, acc3, t0, t1) montReduceQW(acc1, acc2, acc3, acc0, t0, t1) montReduceQW(acc2, acc3, acc0, acc1, t0, t1) montReduceQW(acc3, acc0, acc1, acc2, t0, t1) // Add bits [511:256] of the mul result ADDS acc4, acc0, acc0 ADCS acc5, acc1, acc1 ADCS acc6, acc2, acc2 ADCS acc7, acc3, acc3 ADC $0, ZR, acc4 MOVD c256const1<>(SB), y0 MOVD c256const3<>(SB), y1 MOVD $-1, y2 SUBS $-1, acc0, t0 SBCS y0, acc1, t1 SBCS y2, acc2, t2 SBCS y1, acc3, t3 SBCS $0, acc4, acc4 CSEL CS, t0, acc0, y0 CSEL CS, t1, acc1, y1 CSEL CS, t2, acc2, y2 CSEL CS, t3, acc3, y3 RET /* ---------------------------------------*/ // x[0:3] = 2*y[0:3] mod p #define c256MulBy2Inline \ ADDS y0, y0, x0; \ ADCS y1, y1, x1; \ ADCS y2, y2, x2; \ ADCS y3, y3, x3; \ ADC $0, ZR, hlp0; \ \ SUBS $-1, x0, t0; \ MOVD c256const1<>(SB), t1; \ SBCS t1, x1, t1; \ MOVD $-1, t2; \ SBCS t2, x2, t2; \ MOVD c256const3<>(SB), t3; \ SBCS t3, x3, t3; \ SBCS $0, hlp0, hlp0; \ \ CSEL CC, x0, t0, x0; \ CSEL CC, x1, t1, x1; \ CSEL CC, x2, t2, x2; \ CSEL CC, x3, t3, x3; /* ---------------------------------------*/ #define x1in(off) (off)(a_ptr) #define y1in(off) (off + 32)(a_ptr) #define z1in(off) (off + 64)(a_ptr) #define x2in(off) (off)(b_ptr) #define z2in(off) (off + 64)(b_ptr) #define x3out(off) (off)(res_ptr) #define y3out(off) (off + 32)(res_ptr) #define z3out(off) (off + 64)(res_ptr) #define LDx(src) LDP src(0), (x0, x1); LDP src(16), (x2, x3) #define LDy(src) LDP src(0), (y0, y1); LDP src(16), (y2, y3) #define STx(src) STP (x0, x1), src(0); STP (x2, x3), src(16) #define STy(src) STP (y0, y1), src(0); STP (y2, y3), src(16) /* ---------------------------------------*/ #define y2in(off) (32*0 + 8 + off)(RSP) #define s2(off) (32*1 + 8 + off)(RSP) #define z1sqr(off) (32*2 + 8 + off)(RSP) #define h(off) (32*3 + 8 + off)(RSP) #define r(off) (32*4 + 8 + off)(RSP) #define hsqr(off) (32*5 + 8 + off)(RSP) #define rsqr(off) (32*6 + 8 + off)(RSP) #define hcub(off) (32*7 + 8 + off)(RSP) #define z2sqr(off) (32*8 + 8 + off)(RSP) #define s1(off) (32*9 + 8 + off)(RSP) #define u1(off) (32*10 + 8 + off)(RSP) #define u2(off) (32*11 + 8 + off)(RSP) // func c256PointAddAffineAsm(res, in1, in2 []uint64, sign, sel, zero int) // local var y2in ~ hcub, 32*8 + 8 = 264 // Fix issue 7: if NOSPLIT is not specified for the TEXT, the argument size must be provided TEXT ·c256PointAddAffineAsm(SB),0,$264-96 MOVD in1+24(FP), a_ptr MOVD in2+48(FP), b_ptr MOVD sign+72(FP), hlp0 MOVD sel+80(FP), hlp1 MOVD zero+88(FP), t2 MOVD $1, t0 CMP $0, t2 CSEL EQ, ZR, t0, t2 CMP $0, hlp1 CSEL EQ, ZR, t0, hlp1 MOVD c256const1<>(SB), const0 MOVD c256const3<>(SB), const1 EOR t2<<1, hlp1 // Negate y2in based on sign LDP 2*16(b_ptr), (y0, y1) LDP 3*16(b_ptr), (y2, y3) MOVD $-1, t0 // acc0-acc3,t0 = p-y SUBS y0, t0, acc0 SBCS y1, const0, acc1 SBCS y2, t0, acc2 SBCS y3, const1, acc3 SBC $0, ZR, t0 // acc4-acc7,t0 = p-y + p = 2p - y ADDS $-1, acc0, acc4 ADCS const0, acc1, acc5 MOVD $-1, acc6 ADCS acc6, acc2, acc6 ADCS const1, acc3, acc7 ADC $0, t0, t0 CMP $0, t0 CSEL EQ, acc4, acc0, acc0 CSEL EQ, acc5, acc1, acc1 CSEL EQ, acc6, acc2, acc2 CSEL EQ, acc7, acc3, acc3 // If condition is 0, keep original value CMP $0, hlp0 CSEL EQ, y0, acc0, y0 CSEL EQ, y1, acc1, y1 CSEL EQ, y2, acc2, y2 CSEL EQ, y3, acc3, y3 // Store result STy(y2in) // Begin point add LDx(z1in) CALL c256SqrInternal<>(SB) // z1ˆ2 STy(z1sqr) LDx(x2in) CALL c256MulInternal<>(SB) // x2 * z1ˆ2 LDx(x1in) CALL c256SubInternal<>(SB) // h = u2 - u1 STx(h) LDy(z1in) CALL c256MulInternal<>(SB) // z3 = h * z1 LDP 4*16(a_ptr), (acc0, acc1)// iff select[0] == 0, z3 = z1 LDP 5*16(a_ptr), (acc2, acc3) ANDS $1, hlp1, ZR CSEL EQ, acc0, y0, y0 CSEL EQ, acc1, y1, y1 CSEL EQ, acc2, y2, y2 CSEL EQ, acc3, y3, y3 LDP c256one<>+0x00(SB), (acc0, acc1) LDP c256one<>+0x10(SB), (acc2, acc3) ANDS $2, hlp1, ZR // iff select[1] == 0, z3 = 1 CSEL EQ, acc0, y0, y0 CSEL EQ, acc1, y1, y1 CSEL EQ, acc2, y2, y2 CSEL EQ, acc3, y3, y3 LDx(z1in) // must load first in case z3out = z1in. MOVD res+0(FP), t0 STP (y0, y1), 4*16(t0) STP (y2, y3), 5*16(t0) LDy(z1sqr) CALL c256MulInternal<>(SB) // z1 ^ 3 LDx(y2in) CALL c256MulInternal<>(SB) // s2 = y2 * z1ˆ3 STy(s2) LDx(y1in) CALL c256SubInternal<>(SB) // r = s2 - s1 STx(r) CALL c256SqrInternal<>(SB) // rsqr = rˆ2 STy (rsqr) LDx(h) CALL c256SqrInternal<>(SB) // hsqr = hˆ2 STy(hsqr) CALL c256MulInternal<>(SB) // hcub = hˆ3 STy(hcub) LDx(y1in) CALL c256MulInternal<>(SB) // y1 * hˆ3 STy(s2) LDP hsqr(0*8), (x0, x1) LDP hsqr(2*8), (x2, x3) LDP 0*16(a_ptr), (y0, y1) LDP 1*16(a_ptr), (y2, y3) CALL c256MulInternal<>(SB) // u1 * hˆ2 STP (y0, y1), h(0*8) STP (y2, y3), h(2*8) c256MulBy2Inline // u1 * hˆ2 * 2, inline LDy(rsqr) CALL c256SubInternal<>(SB) // rˆ2 - u1 * hˆ2 * 2 MOVD x0, y0 MOVD x1, y1 MOVD x2, y2 MOVD x3, y3 LDx(hcub) CALL c256SubInternal<>(SB) LDP 0*16(a_ptr), (acc0, acc1) LDP 1*16(a_ptr), (acc2, acc3) ANDS $1, hlp1, ZR // iff select[0] == 0, x3 = x1 CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 LDP 0*16(b_ptr), (acc0, acc1) LDP 1*16(b_ptr), (acc2, acc3) ANDS $2, hlp1, ZR // iff select[1] == 0, x3 = x2 CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 MOVD res+0(FP), t0 STP (x0, x1), 0*16(t0) STP (x2, x3), 1*16(t0) LDP h(0*8), (y0, y1) LDP h(2*8), (y2, y3) CALL c256SubInternal<>(SB) LDP r(0*8), (y0, y1) LDP r(2*8), (y2, y3) CALL c256MulInternal<>(SB) LDP s2(0*8), (x0, x1) LDP s2(2*8), (x2, x3) CALL c256SubInternal<>(SB) LDP 2*16(a_ptr), (acc0, acc1) LDP 3*16(a_ptr), (acc2, acc3) ANDS $1, hlp1, ZR // iff select[0] == 0, y3 = y1 CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 LDP y2in(0*8), (acc0, acc1) LDP y2in(2*8), (acc2, acc3) ANDS $2, hlp1, ZR // iff select[1] == 0, y3 = y2 CSEL EQ, acc0, x0, x0 CSEL EQ, acc1, x1, x1 CSEL EQ, acc2, x2, x2 CSEL EQ, acc3, x3, x3 MOVD res+0(FP), t0 STP (x0, x1), 2*16(t0) STP (x2, x3), 3*16(t0) RET // x[0:3] = x[0:3]+y[0:3] #define c256AddInline \ ADDS y0, x0, x0; \ ADCS y1, x1, x1; \ ADCS y2, x2, x2; \ ADCS y3, x3, x3; \ ADC $0, ZR, hlp0; \ \ SUBS $-1, x0, t0; \ MOVD c256const1<>(SB), t1; \ SBCS t1, x1, t1; \ MOVD $-1, t2; \ SBCS t2, x2, t2; \ MOVD c256const3<>(SB), t3; \ SBCS t3, x3, t3; \ SBCS $0, hlp0, hlp0; \ \ CSEL CC, x0, t0, x0; \ CSEL CC, x1, t1, x1; \ CSEL CC, x2, t2, x2; \ CSEL CC, x3, t3, x3; // TEXT ·c256Add(SB),NOSPLIT,$0 // MOVD res+0(FP), res_ptr // MOVD in1+24(FP), a_ptr // MOVD in2+48(FP), b_ptr // LDP 0*16(a_ptr), (x0, x1) // LDP 1*16(a_ptr), (x2, x3) // LDP 0*16(b_ptr), (y0, y1) // LDP 1*16(b_ptr), (y2, y3) // c256AddInline // STP (x0, x1), 0*16(res_ptr) // STP (x2, x3), 1*16(res_ptr) // RET #define s(off) (32*0 + 8 + off)(RSP) #define m(off) (32*1 + 8 + off)(RSP) #define zsqr(off) (32*2 + 8 + off)(RSP) #define tmp(off) (32*3 + 8 + off)(RSP) // func c256PointDoubleAsm(res, in []uint64) // the "dbl-1986-cc-2" from https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html // S = 4*X1*Y1^2 // M = 3*(X1-Z1^2)*(X1+Z1^2) // T = M^2-2*S // X3 = T // Y3 = M*(S-T)-8*Y1^4 // Z3 = 2*Y1*Z1 // local var 32*4 + 8 = 136 TEXT ·c256PointDoubleAsm(SB),NOSPLIT,$136-48 MOVD res+0(FP), res_ptr MOVD in+24(FP), a_ptr // Begin point double LDP 4*16(a_ptr), (x0, x1) LDP 5*16(a_ptr), (x2, x3) CALL c256SqrInternal<>(SB) STP (y0, y1), zsqr(0*8) STP (y2, y3), zsqr(2*8) // zsqr = z1^2 LDP 0*16(a_ptr), (x0, x1) LDP 1*16(a_ptr), (x2, x3) c256AddInline STx(m) // m = x1 + z1^2 LDx(z1in) LDy(y1in) CALL c256MulInternal<>(SB) c256MulBy2Inline STx(z3out) // z3 = 2*z1*y1 LDy(x1in) LDx(zsqr) CALL c256SubInternal<>(SB) LDy(m) CALL c256MulInternal<>(SB)// (x1 + z1^2)*(x1 - z^2) // Multiply by 3 c256MulBy2Inline c256AddInline STx(m) // m=3(x1 + z1^2)*(x1 - z^2) LDy(y1in) c256MulBy2Inline CALL c256SqrInternal<>(SB) STy(s) // s = 4y1^2 MOVD y0, x0 MOVD y1, x1 MOVD y2, x2 MOVD y3, x3 CALL c256SqrInternal<>(SB) // 16*y1^2 // Divide by 2 ADDS $-1, y0, t0 MOVD c256const1<>(SB), t1 ADCS t1, y1, t1 MOVD $-1, t2 ADCS t2, y2, t2 MOVD c256const3<>(SB), t3 ADCS t3, y3, t3 ADC $0, ZR, hlp0 ANDS $1, y0, ZR CSEL EQ, y0, t0, t0 CSEL EQ, y1, t1, t1 CSEL EQ, y2, t2, t2 CSEL EQ, y3, t3, t3 AND y0, hlp0, hlp0 EXTR $1, t0, t1, y0 EXTR $1, t1, t2, y1 EXTR $1, t2, t3, y2 EXTR $1, t3, hlp0, y3 STy(y3out) // y3 = 8y1^2 LDx(x1in) LDy(s) CALL c256MulInternal<>(SB) STy(s)// s = 4*x1*y1^2 c256MulBy2Inline STx(tmp) // tmp = 2*s LDx(m) CALL c256SqrInternal<>(SB) LDx(tmp) CALL c256SubInternal<>(SB) STx(x3out) // x3 = m^2 - 2s LDy(s) CALL c256SubInternal<>(SB) // s-x3 LDy(m) CALL c256MulInternal<>(SB) // m(s-x3) LDx(y3out) CALL c256SubInternal<>(SB) STx(y3out)// y3 = m(s-x3) - 8y1^2 RET /* ---------------------------------------*/ #undef y2in #undef x3out #undef y3out #undef z3out #define y2in(off) (off + 32)(b_ptr) #define x3out(off) (off)(b_ptr) #define y3out(off) (off + 32)(b_ptr) #define z3out(off) (off + 64)(b_ptr) //func c256PointAddAsm(res, in1, in2 []uint64) int // local var: 32*12 + 8 = 392 TEXT ·c256PointAddAsm(SB),0,$392-80 // See https://hyperelliptic.org/EFD/g1p/auto-shortw-jacobian-3.html#addition-add-2007-bl // Move input to stack in order to free registers MOVD in1+24(FP), a_ptr MOVD in2+48(FP), b_ptr // Begin point add LDx(z2in) CALL c256SqrInternal<>(SB) // z2^2 STy(z2sqr) CALL c256MulInternal<>(SB) // z2^3 LDx(y1in) CALL c256MulInternal<>(SB) // s1 = z2ˆ3*y1 STy(s1) LDx(z1in) CALL c256SqrInternal<>(SB) // z1^2 STy(z1sqr) CALL c256MulInternal<>(SB) // z1^3 LDx(y2in) CALL c256MulInternal<>(SB) // s2 = z1ˆ3*y2 LDx(s1) CALL c256SubInternal<>(SB) // r = s2 - s1 STx(r) MOVD $1, t2 ORR x0, x1, t0 // Check if zero mod c256 --- TODO ORR x2, x3, t1 ORR t1, t0, t0 CMP $0, t0 CSEL EQ, t2, ZR, hlp1 EOR $-1, x0, t0 MOVD c256const1<>(SB), t1 EOR t1, x1, t1 EOR $-1, x2, t2 MOVD c256const3<>(SB), t3 EOR t3, x3, t3 ORR t0, t1, t0 ORR t2, t3, t1 ORR t1, t0, t0 CMP $0, t0 CSEL EQ, t2, hlp1, hlp1 LDx(z2sqr) LDy(x1in) CALL c256MulInternal<>(SB) // u1 = x1 * z2ˆ2 STy(u1) LDx(z1sqr) LDy(x2in) CALL c256MulInternal<>(SB) // u2 = x2 * z1ˆ2 STy(u2) LDx(u1) CALL c256SubInternal<>(SB) // h = u2 - u1 STx(h) MOVD $1, t2 ORR x0, x1, t0 // Check if zero mod c256 ORR x2, x3, t1 ORR t1, t0, t0 CMP $0, t0 CSEL EQ, t2, ZR, hlp0 EOR $-1, x0, t0 MOVD c256const1<>(SB), t1 EOR t1, x1, t1 EOR $-1, x2, t2 MOVD c256const3<>(SB), t3 EOR t3, x3, t3 ORR t0, t1, t0 ORR t2, t3, t1 ORR t1, t0, t0 CMP $0, t0 CSEL EQ, t2, hlp0, hlp0 AND hlp0, hlp1, hlp1 LDx(r) CALL c256SqrInternal<>(SB) // rsqr = rˆ2 STy(rsqr) LDx(h) CALL c256SqrInternal<>(SB) // hsqr = hˆ2 STy(hsqr) LDx(h) CALL c256MulInternal<>(SB) // hcub = hˆ3 STy(hcub) LDx(s1) CALL c256MulInternal<>(SB) STy(s2) LDx(z1in) LDy(z2in) CALL c256MulInternal<>(SB) // z1 * z2 LDx(h) CALL c256MulInternal<>(SB) // z1 * z2 * h MOVD res+0(FP), b_ptr STy(z3out) LDx(hsqr) LDy(u1) CALL c256MulInternal<>(SB) // hˆ2 * u1 STy(u2) c256MulBy2Inline // u1 * hˆ2 * 2, inline LDy(rsqr) CALL c256SubInternal<>(SB) // rˆ2 - u1 * hˆ2 * 2 MOVD x0, y0 MOVD x1, y1 MOVD x2, y2 MOVD x3, y3 LDx(hcub) CALL c256SubInternal<>(SB) STx(x3out) LDy(u2) CALL c256SubInternal<>(SB) LDy(r) CALL c256MulInternal<>(SB) LDx(s2) CALL c256SubInternal<>(SB) STx(y3out) MOVD hlp1, R0 MOVD R0, ret+72(FP) RET