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mul.h
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#define mul(a0,a1,a2,a3,a4,a5, rb, stack) \
\ // a0
MOVQ a0, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a0, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a0, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a0, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a0, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a0, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
storeBlock(R8,R9,R10,R11,R12,R13, 0+stack) \
MOVQ R14, 48+stack \
\
\ // a1
MOVQ a1, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a1, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a1, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a1, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a1, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a1, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
ADDQ 8+stack, R8 \
ADCQ 16+stack, R9 \
ADCQ 24+stack, R10 \
ADCQ 32+stack, R11 \
ADCQ 40+stack, R12 \
ADCQ 48+stack, R13 \
ADCQ $0, R14 \
storeBlock(R8,R9,R10,R11,R12,R13, 8+stack) \
MOVQ R14, 56+stack \
\
\ // a2
MOVQ a2, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a2, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a2, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a2, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a2, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a2, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
ADDQ 16+stack, R8 \
ADCQ 24+stack, R9 \
ADCQ 32+stack, R10 \
ADCQ 40+stack, R11 \
ADCQ 48+stack, R12 \
ADCQ 56+stack, R13 \
ADCQ $0, R14 \
storeBlock(R8,R9,R10,R11,R12,R13, 16+stack) \
MOVQ R14, 64+stack \
\
\ // a3
MOVQ a3, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a3, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a3, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a3, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a3, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a3, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
ADDQ 24+stack, R8 \
ADCQ 32+stack, R9 \
ADCQ 40+stack, R10 \
ADCQ 48+stack, R11 \
ADCQ 56+stack, R12 \
ADCQ 64+stack, R13 \
ADCQ $0, R14 \
storeBlock(R8,R9,R10,R11,R12,R13, 24+stack) \
MOVQ R14, 72+stack \
\
\ // a4
MOVQ a4, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a4, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a4, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a4, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a4, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a4, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
ADDQ 32+stack, R8 \
ADCQ 40+stack, R9 \
ADCQ 48+stack, R10 \
ADCQ 56+stack, R11 \
ADCQ 64+stack, R12 \
ADCQ 72+stack, R13 \
ADCQ $0, R14 \
storeBlock(R8,R9,R10,R11,R12,R13, 32+stack) \
MOVQ R14, 80+stack \
\
\ // a5
MOVQ a5, AX \
MULQ 0+rb \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ a5, AX \
MULQ 8+rb \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ a5, AX \
MULQ 16+rb \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ a5, AX \
MULQ 24+rb \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ a5, AX \
MULQ 32+rb \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ a5, AX \
MULQ 40+rb \
ADDQ AX, R13 \
ADCQ $0, DX \
MOVQ DX, R14 \
\
ADDQ 40+stack, R8 \
ADCQ 48+stack, R9 \
ADCQ 56+stack, R10 \
ADCQ 64+stack, R11 \
ADCQ 72+stack, R12 \
ADCQ 80+stack, R13 \
ADCQ $0, R14 \
storeBlock(R8,R9,R10,R11,R12,R13, 40+stack) \
MOVQ R14, 88+stack
#define gfpReduce(stack) \
\ // m = (T * P') mod R, store m in R8:R9:R10:R11:R12:R13
MOVQ ·pp+0(SB), AX \
MULQ 0+stack \
MOVQ AX, R8 \
MOVQ DX, R9 \
MOVQ ·pp+0(SB), AX \
MULQ 8+stack \
ADDQ AX, R9 \
ADCQ $0, DX \
MOVQ DX, R10 \
MOVQ ·pp+0(SB), AX \
MULQ 16+stack \
ADDQ AX, R10 \
ADCQ $0, DX \
MOVQ DX, R11 \
MOVQ ·pp+0(SB), AX \
MULQ 24+stack \
ADDQ AX, R11 \
ADCQ $0, DX \
MOVQ DX, R12 \
MOVQ ·pp+0(SB), AX \
MULQ 32+stack \
ADDQ AX, R12 \
ADCQ $0, DX \
MOVQ DX, R13 \
MOVQ ·pp+0(SB), AX \
MULQ 40+stack \
ADDQ AX, R13 \
\
ADDQ 0+stack, R9 \
ADCQ 8+stack, R10 \
ADCQ 16+stack, R11 \
ADCQ 24+stack, R12 \
ADCQ 32+stack, R13 \
\
MOVQ ·pp+16(SB), AX \
MULQ 0+stack \
MOVQ AX, R14 \
MOVQ DX, R15 \
MOVQ ·pp+16(SB), AX \
MULQ 8+stack \
ADDQ AX, R15 \
ADCQ $0, DX \
MOVQ DX, BX \
MOVQ ·pp+16(SB), AX \
MULQ 16+stack \
ADDQ AX, BX \
ADCQ $0, DX \
MOVQ DX, CX \
MOVQ ·pp+16(SB), AX \
MULQ 24+stack \
ADDQ AX, CX \
\
ADDQ R14, R10 \
ADCQ R15, R11 \
ADCQ BX, R12 \
ADCQ CX, R13 \
\
MOVQ ·pp+24(SB), AX \
MULQ 0+stack \
MOVQ AX, R14 \
MOVQ DX, R15 \
MOVQ ·pp+24(SB), AX \
MULQ 8+stack \
ADDQ AX, R15 \
ADCQ $0, DX \
MOVQ DX, BX \
MOVQ ·pp+24(SB), AX \
MULQ 16+stack \
ADDQ AX, BX \
\
ADDQ R14, R11 \
ADCQ R15, R12 \
ADCQ BX, R13 \
\
MOVQ ·pp+32(SB), AX \
MULQ 0+stack \
MOVQ AX, R14 \
MOVQ DX, R15 \
MOVQ ·pp+32(SB), AX \
MULQ 8+stack \
ADDQ AX, R15 \
\
ADDQ R14, R12 \
ADCQ R15, R13 \
\
MOVQ ·pp+40(SB), AX \
MULQ 0+stack \
ADDQ AX, R13 \
\
storeBlock(R8,R9,R10,R11,R12,R13, 96+stack) \
\
\ // m * P
mul(·p+0(SB),·p+8(SB),·p+16(SB),·p+24(SB),·p+32(SB),·p+40(SB), 96+stack, 144+stack) \
\
\ // Add the 768-bit intermediate to m*N
MOVQ $0, DI \
loadBlock(144+stack, R8,R9,R10,R11,R12,R13) \
loadBlock(192+stack, R14,R15,AX,BX,CX,DX) \
\
ADDQ 0+stack, R8 \
ADCQ 8+stack, R9 \
ADCQ 16+stack, R10 \
ADCQ 24+stack, R11 \
ADCQ 32+stack, R12 \
ADCQ 40+stack, R13 \
ADCQ 48+stack, R14 \
ADCQ 56+stack, R15 \
ADCQ 64+stack, AX \
ADCQ 72+stack, BX \
ADCQ 80+stack, CX \
ADCQ 88+stack, DX \
ADCQ $0, DI \
\
gfpCarry(R14,R15,AX,BX,CX,DX,DI, R8,R9,R10,R11,R12,R13,SI)