mirror of
https://github.com/henrydcase/nobs.git
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1318 lines
24 KiB
ArmAsm
1318 lines
24 KiB
ArmAsm
// +build amd64,!noasm
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#include "textflag.h"
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// p503
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#define P503_0 $0xFFFFFFFFFFFFFFFF
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#define P503_1 $0xFFFFFFFFFFFFFFFF
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#define P503_2 $0xFFFFFFFFFFFFFFFF
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#define P503_3 $0xABFFFFFFFFFFFFFF
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#define P503_4 $0x13085BDA2211E7A0
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#define P503_5 $0x1B9BF6C87B7E7DAF
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#define P503_6 $0x6045C6BDDA77A4D0
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#define P503_7 $0x004066F541811E1E
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// p503+1
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#define P503P1_3 $0xAC00000000000000
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#define P503P1_4 $0x13085BDA2211E7A0
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#define P503P1_5 $0x1B9BF6C87B7E7DAF
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#define P503P1_6 $0x6045C6BDDA77A4D0
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#define P503P1_7 $0x004066F541811E1E
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// p503x2
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#define P503X2_0 $0xFFFFFFFFFFFFFFFE
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#define P503X2_1 $0xFFFFFFFFFFFFFFFF
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#define P503X2_2 $0xFFFFFFFFFFFFFFFF
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#define P503X2_3 $0x57FFFFFFFFFFFFFF
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#define P503X2_4 $0x2610B7B44423CF41
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#define P503X2_5 $0x3737ED90F6FCFB5E
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#define P503X2_6 $0xC08B8D7BB4EF49A0
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#define P503X2_7 $0x0080CDEA83023C3C
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// The MSR code uses these registers for parameter passing. Keep using
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// them to avoid significant code changes. This means that when the Go
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// assembler does something strange, we can diff the machine code
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// against a different assembler to find out what Go did.
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#define REG_P1 DI
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#define REG_P2 SI
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#define REG_P3 DX
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TEXT ·fp503StrongReduce(SB), NOSPLIT, $0-8
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MOVQ x+0(FP), REG_P1
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// Zero AX for later use:
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XORQ AX, AX
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// Load p into registers:
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MOVQ P503_0, R8
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// P503_{1,2} = P503_0, so reuse R8
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MOVQ P503_3, R9
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MOVQ P503_4, R10
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MOVQ P503_5, R11
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MOVQ P503_6, R12
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MOVQ P503_7, R13
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// Set x <- x - p
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SUBQ R8, ( 0)(REG_P1)
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SBBQ R8, ( 8)(REG_P1)
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SBBQ R8, (16)(REG_P1)
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SBBQ R9, (24)(REG_P1)
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SBBQ R10, (32)(REG_P1)
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SBBQ R11, (40)(REG_P1)
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SBBQ R12, (48)(REG_P1)
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SBBQ R13, (56)(REG_P1)
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// Save carry flag indicating x-p < 0 as a mask
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SBBQ $0, AX
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// Conditionally add p to x if x-p < 0
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ANDQ AX, R8
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ANDQ AX, R9
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ANDQ AX, R10
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ANDQ AX, R11
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ANDQ AX, R12
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ANDQ AX, R13
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ADDQ R8, ( 0)(REG_P1)
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ADCQ R8, ( 8)(REG_P1)
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ADCQ R8, (16)(REG_P1)
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ADCQ R9, (24)(REG_P1)
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ADCQ R10,(32)(REG_P1)
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ADCQ R11,(40)(REG_P1)
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ADCQ R12,(48)(REG_P1)
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ADCQ R13,(56)(REG_P1)
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RET
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// TODO this could be factorized to one single function
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TEXT ·fp503ConditionalSwap(SB),NOSPLIT,$0-17
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MOVQ x+0(FP), REG_P1
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MOVQ y+8(FP), REG_P2
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MOVB choice+16(FP), AL // AL = 0 or 1
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MOVBLZX AL, AX // AX = 0 or 1
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NEGQ AX // RAX = 0x00..00 or 0xff..ff
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#ifndef CSWAP_BLOCK
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#define CSWAP_BLOCK(idx) \
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MOVQ (idx*8)(REG_P1), BX \ // BX = x[idx]
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MOVQ (idx*8)(REG_P2), CX \ // CX = y[idx]
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MOVQ CX, DX \ // DX = y[idx]
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XORQ BX, DX \ // DX = y[idx] ^ x[idx]
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ANDQ AX, DX \ // DX = (y[idx] ^ x[idx]) & mask
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XORQ DX, BX \ // BX = (y[idx] ^ x[idx]) & mask) ^ x[idx] = x[idx] or y[idx]
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XORQ DX, CX \ // CX = (y[idx] ^ x[idx]) & mask) ^ y[idx] = y[idx] or x[idx]
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MOVQ BX, (idx*8)(REG_P1) \
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MOVQ CX, (idx*8)(REG_P2)
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#endif
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CSWAP_BLOCK(0)
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CSWAP_BLOCK(1)
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CSWAP_BLOCK(2)
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CSWAP_BLOCK(3)
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CSWAP_BLOCK(4)
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CSWAP_BLOCK(5)
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CSWAP_BLOCK(6)
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CSWAP_BLOCK(7)
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#ifdef CSWAP_BLOCK
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#undef CSWAP_BLOCK
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#endif
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RET
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TEXT ·fp503AddReduced(SB),NOSPLIT,$0-24
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MOVQ z+0(FP), REG_P3
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MOVQ x+8(FP), REG_P1
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MOVQ y+16(FP), REG_P2
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// Used later to calculate a mask
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XORQ CX, CX
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// [R8-R15]: z = x + y
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MOVQ ( 0)(REG_P1), R8
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MOVQ ( 8)(REG_P1), R9
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MOVQ (16)(REG_P1), R10
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MOVQ (24)(REG_P1), R11
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MOVQ (32)(REG_P1), R12
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MOVQ (40)(REG_P1), R13
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MOVQ (48)(REG_P1), R14
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MOVQ (56)(REG_P1), R15
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ADDQ ( 0)(REG_P2), R8
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ADCQ ( 8)(REG_P2), R9
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ADCQ (16)(REG_P2), R10
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ADCQ (24)(REG_P2), R11
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ADCQ (32)(REG_P2), R12
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ADCQ (40)(REG_P2), R13
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ADCQ (48)(REG_P2), R14
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ADCQ (56)(REG_P2), R15
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MOVQ P503X2_0, AX
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SUBQ AX, R8
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MOVQ P503X2_1, AX
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SBBQ AX, R9
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SBBQ AX, R10
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MOVQ P503X2_3, AX
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SBBQ AX, R11
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MOVQ P503X2_4, AX
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SBBQ AX, R12
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MOVQ P503X2_5, AX
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SBBQ AX, R13
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MOVQ P503X2_6, AX
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SBBQ AX, R14
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MOVQ P503X2_7, AX
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SBBQ AX, R15
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SBBQ $0, CX // mask
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// move z to REG_P3
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MOVQ R8, ( 0)(REG_P3)
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MOVQ R9, ( 8)(REG_P3)
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MOVQ R10, (16)(REG_P3)
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MOVQ R11, (24)(REG_P3)
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MOVQ R12, (32)(REG_P3)
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MOVQ R13, (40)(REG_P3)
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MOVQ R14, (48)(REG_P3)
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MOVQ R15, (56)(REG_P3)
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// if z<0 add p503x2 back
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MOVQ P503X2_0, R8
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MOVQ P503X2_1, R9
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MOVQ P503X2_3, R10
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MOVQ P503X2_4, R11
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MOVQ P503X2_5, R12
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MOVQ P503X2_6, R13
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MOVQ P503X2_7, R14
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ANDQ CX, R8
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ANDQ CX, R9
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ANDQ CX, R10
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ANDQ CX, R11
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ANDQ CX, R12
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ANDQ CX, R13
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ANDQ CX, R14
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ADDQ R8, ( 0)(REG_P3)
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ADCQ R9, ( 8)(REG_P3)
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ADCQ R9, (16)(REG_P3)
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ADCQ R10,(24)(REG_P3)
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ADCQ R11,(32)(REG_P3)
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ADCQ R12,(40)(REG_P3)
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ADCQ R13,(48)(REG_P3)
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ADCQ R14,(56)(REG_P3)
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RET
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TEXT ·fp503SubReduced(SB), NOSPLIT, $0-24
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MOVQ z+0(FP), REG_P3
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MOVQ x+8(FP), REG_P1
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MOVQ y+16(FP), REG_P2
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// Used later to calculate a mask
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XORQ CX, CX
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MOVQ ( 0)(REG_P1), R8
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MOVQ ( 8)(REG_P1), R9
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MOVQ (16)(REG_P1), R10
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MOVQ (24)(REG_P1), R11
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MOVQ (32)(REG_P1), R12
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MOVQ (40)(REG_P1), R13
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MOVQ (48)(REG_P1), R14
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MOVQ (56)(REG_P1), R15
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SUBQ ( 0)(REG_P2), R8
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SBBQ ( 8)(REG_P2), R9
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SBBQ (16)(REG_P2), R10
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SBBQ (24)(REG_P2), R11
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SBBQ (32)(REG_P2), R12
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SBBQ (40)(REG_P2), R13
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SBBQ (48)(REG_P2), R14
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SBBQ (56)(REG_P2), R15
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// mask
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SBBQ $0, CX
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// store x-y in REG_P3
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MOVQ R8, ( 0)(REG_P3)
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MOVQ R9, ( 8)(REG_P3)
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MOVQ R10, (16)(REG_P3)
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MOVQ R11, (24)(REG_P3)
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MOVQ R12, (32)(REG_P3)
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MOVQ R13, (40)(REG_P3)
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MOVQ R14, (48)(REG_P3)
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MOVQ R15, (56)(REG_P3)
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// if z<0 add p503x2 back
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MOVQ P503X2_0, R8
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MOVQ P503X2_1, R9
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MOVQ P503X2_3, R10
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MOVQ P503X2_4, R11
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MOVQ P503X2_5, R12
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MOVQ P503X2_6, R13
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MOVQ P503X2_7, R14
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ANDQ CX, R8
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ANDQ CX, R9
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ANDQ CX, R10
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ANDQ CX, R11
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ANDQ CX, R12
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ANDQ CX, R13
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ANDQ CX, R14
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ADDQ R8, ( 0)(REG_P3)
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ADCQ R9, ( 8)(REG_P3)
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ADCQ R9, (16)(REG_P3)
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ADCQ R10,(24)(REG_P3)
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ADCQ R11,(32)(REG_P3)
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ADCQ R12,(40)(REG_P3)
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ADCQ R13,(48)(REG_P3)
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ADCQ R14,(56)(REG_P3)
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RET
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TEXT ·fp503Mul(SB), $96-24
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// Uses variant of Karatsuba method.
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//
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// Here we store the destination in CX instead of in REG_P3 because the
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// multiplication instructions use DX as an implicit destination
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// operand: MULQ $REG sets DX:AX <-- AX * $REG.
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// Actual implementation
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MOVQ z+0(FP), CX
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MOVQ x+8(FP), REG_P1
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MOVQ y+16(FP), REG_P2
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// RAX and RDX will be used for a mask (0-borrow)
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XORQ AX, AX
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// RCX[0-3]: U1+U0
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MOVQ (32)(REG_P1), R8
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MOVQ (40)(REG_P1), R9
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MOVQ (48)(REG_P1), R10
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MOVQ (56)(REG_P1), R11
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ADDQ ( 0)(REG_P1), R8
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ADCQ ( 8)(REG_P1), R9
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ADCQ (16)(REG_P1), R10
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ADCQ (24)(REG_P1), R11
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MOVQ R8, ( 0)(CX)
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MOVQ R9, ( 8)(CX)
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MOVQ R10, (16)(CX)
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MOVQ R11, (24)(CX)
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SBBQ $0, AX
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// R12-R15: V1+V0
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XORQ DX, DX
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MOVQ (32)(REG_P2), R12
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MOVQ (40)(REG_P2), R13
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MOVQ (48)(REG_P2), R14
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MOVQ (56)(REG_P2), R15
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ADDQ ( 0)(REG_P2), R12
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ADCQ ( 8)(REG_P2), R13
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ADCQ (16)(REG_P2), R14
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ADCQ (24)(REG_P2), R15
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SBBQ $0, DX
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// Store carries on stack
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MOVQ AX, (64)(SP)
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MOVQ DX, (72)(SP)
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// (SP[0-3],R8,R9,R10,R11) <- (AH+AL)*(BH+BL).
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// MUL using comba; In comments below U=AH+AL V=BH+BL
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// U0*V0
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MOVQ (CX), AX
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MULQ R12
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MOVQ AX, (SP) // C0
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MOVQ DX, R8
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// U0*V1
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XORQ R9, R9
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MOVQ (CX), AX
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MULQ R13
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ADDQ AX, R8
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ADCQ DX, R9
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// U1*V0
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XORQ R10, R10
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MOVQ (8)(CX), AX
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MULQ R12
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ADDQ AX, R8
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MOVQ R8, (8)(SP) // C1
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ADCQ DX, R9
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ADCQ $0, R10
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// U0*V2
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XORQ R8, R8
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MOVQ (CX), AX
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MULQ R14
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ADDQ AX, R9
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ADCQ DX, R10
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ADCQ $0, R8
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// U2*V0
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MOVQ (16)(CX), AX
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MULQ R12
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ADDQ AX, R9
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ADCQ DX, R10
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ADCQ $0, R8
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// U1*V1
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MOVQ (8)(CX), AX
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MULQ R13
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ADDQ AX, R9
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MOVQ R9, (16)(SP) // C2
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ADCQ DX, R10
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ADCQ $0, R8
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// U0*V3
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XORQ R9, R9
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MOVQ (CX), AX
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MULQ R15
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ADDQ AX, R10
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ADCQ DX, R8
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ADCQ $0, R9
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// U3*V0
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MOVQ (24)(CX), AX
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MULQ R12
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ADDQ AX, R10
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ADCQ DX, R8
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ADCQ $0, R9
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// U1*V2
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MOVQ (8)(CX), AX
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MULQ R14
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ADDQ AX, R10
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ADCQ DX, R8
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ADCQ $0, R9
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// U2*V1
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MOVQ (16)(CX), AX
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MULQ R13
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ADDQ AX, R10
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MOVQ R10, (24)(SP) // C3
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ADCQ DX, R8
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ADCQ $0, R9
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// U1*V3
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XORQ R10, R10
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MOVQ (8)(CX), AX
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MULQ R15
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ADDQ AX, R8
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ADCQ DX, R9
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ADCQ $0, R10
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// U3*V1
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MOVQ (24)(CX), AX
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MULQ R13
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ADDQ AX, R8
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ADCQ DX, R9
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ADCQ $0, R10
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// U2*V2
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MOVQ (16)(CX), AX
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MULQ R14
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ADDQ AX, R8
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MOVQ R8, (32)(SP) // C4
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ADCQ DX, R9
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ADCQ $0, R10
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// U2*V3
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XORQ R11, R11
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MOVQ (16)(CX), AX
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MULQ R15
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ADDQ AX, R9
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ADCQ DX, R10
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ADCQ $0, R11
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// U3*V2
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MOVQ (24)(CX), AX
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MULQ R14
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ADDQ AX, R9 // C5
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ADCQ DX, R10
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ADCQ $0, R11
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// U3*V3
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MOVQ (24)(CX), AX
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MULQ R15
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ADDQ AX, R10 // C6
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ADCQ DX, R11 // C7
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MOVQ (64)(SP), AX
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ANDQ AX, R12
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ANDQ AX, R13
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ANDQ AX, R14
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ANDQ AX, R15
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ADDQ R8, R12
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ADCQ R9, R13
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ADCQ R10, R14
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ADCQ R11, R15
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MOVQ (72)(SP), AX
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MOVQ (CX), R8
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MOVQ (8)(CX), R9
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MOVQ (16)(CX), R10
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MOVQ (24)(CX), R11
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ANDQ AX, R8
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ANDQ AX, R9
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ANDQ AX, R10
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ANDQ AX, R11
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ADDQ R12, R8
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ADCQ R13, R9
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ADCQ R14, R10
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ADCQ R15, R11
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MOVQ R8, (32)(SP)
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MOVQ R9, (40)(SP)
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MOVQ R10, (48)(SP)
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MOVQ R11, (56)(SP)
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// CX[0-7] <- AL*BL
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// U0*V0
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MOVQ (REG_P1), R11
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MOVQ (REG_P2), AX
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MULQ R11
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XORQ R9, R9
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MOVQ AX, (CX) // C0
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MOVQ DX, R8
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// U0*V1
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MOVQ (16)(REG_P1), R14
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MOVQ (8)(REG_P2), AX
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MULQ R11
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XORQ R10, R10
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ADDQ AX, R8
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ADCQ DX, R9
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// U1*V0
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MOVQ (8)(REG_P1), R12
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MOVQ (REG_P2), AX
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MULQ R12
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ADDQ AX, R8
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MOVQ R8, (8)(CX) // C1
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ADCQ DX, R9
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ADCQ $0, R10
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// U0*V2
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XORQ R8, R8
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MOVQ (16)(REG_P2), AX
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MULQ R11
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ADDQ AX, R9
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|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
// U2*V0
|
|
MOVQ (REG_P2), R13
|
|
MOVQ R14, AX
|
|
MULQ R13
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
// U1*V1
|
|
MOVQ (8)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R9
|
|
MOVQ R9, (16)(CX) // C2
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
// U0*V3
|
|
XORQ R9, R9
|
|
MOVQ (24)(REG_P2), AX
|
|
MULQ R11
|
|
MOVQ (24)(REG_P1), R15
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
// U3*V1
|
|
MOVQ R15, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
// U2*V2
|
|
MOVQ (16)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
// U2*V3
|
|
MOVQ (8)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R10
|
|
MOVQ R10, (24)(CX) // C3
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
// U3*V2
|
|
XORQ R10, R10
|
|
MOVQ (24)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
// U3*V1
|
|
MOVQ (8)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
// U2*V2
|
|
MOVQ (16)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
MOVQ R8, (32)(CX) // C4
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
// U2*V3
|
|
XORQ R8, R8
|
|
MOVQ (24)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
// U3*V2
|
|
MOVQ (16)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R9
|
|
MOVQ R9, (40)(CX) // C5
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
// U3*V3
|
|
MOVQ (24)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R10
|
|
MOVQ R10, (48)(CX) // C6
|
|
ADCQ DX, R8
|
|
MOVQ R8, (56)(CX) // C7
|
|
|
|
// CX[8-15] <- AH*BH
|
|
MOVQ (32)(REG_P1), R11
|
|
MOVQ (32)(REG_P2), AX
|
|
MULQ R11
|
|
XORQ R9, R9
|
|
MOVQ AX, (64)(CX) // C0
|
|
MOVQ DX, R8
|
|
|
|
MOVQ (48)(REG_P1), R14
|
|
MOVQ (40)(REG_P2), AX
|
|
MULQ R11
|
|
XORQ R10, R10
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
|
|
MOVQ (40)(REG_P1), R12
|
|
MOVQ (32)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R8
|
|
MOVQ R8, (72)(CX) // C1
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
XORQ R8, R8
|
|
MOVQ (48)(REG_P2), AX
|
|
MULQ R11
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
MOVQ (32)(REG_P2), R13
|
|
MOVQ R14, AX
|
|
MULQ R13
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
MOVQ (40)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R9
|
|
MOVQ R9, (80)(CX) // C2
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
XORQ R9, R9
|
|
MOVQ (56)(REG_P2), AX
|
|
MULQ R11
|
|
MOVQ (56)(REG_P1), R15
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
MOVQ R15, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
MOVQ (48)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
MOVQ (40)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R10
|
|
MOVQ R10, (88)(CX) // C3
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
XORQ R10, R10
|
|
MOVQ (56)(REG_P2), AX
|
|
MULQ R12
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
MOVQ (40)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
MOVQ (48)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
MOVQ R8, (96)(CX) // C4
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
XORQ R8, R8
|
|
MOVQ (56)(REG_P2), AX
|
|
MULQ R14
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
MOVQ (48)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R9
|
|
MOVQ R9, (104)(CX) // C5
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
MOVQ (56)(REG_P2), AX
|
|
MULQ R15
|
|
ADDQ AX, R10
|
|
MOVQ R10, (112)(CX) // C6
|
|
ADCQ DX, R8
|
|
MOVQ R8, (120)(CX) // C7
|
|
|
|
// [R8-R15] <- (AH+AL)*(BH+BL) - AL*BL
|
|
MOVQ (SP), R8
|
|
SUBQ (CX), R8
|
|
MOVQ (8)(SP), R9
|
|
SBBQ (8)(CX), R9
|
|
MOVQ (16)(SP), R10
|
|
SBBQ (16)(CX), R10
|
|
MOVQ (24)(SP), R11
|
|
SBBQ (24)(CX), R11
|
|
MOVQ (32)(SP), R12
|
|
SBBQ (32)(CX), R12
|
|
MOVQ (40)(SP), R13
|
|
SBBQ (40)(CX), R13
|
|
MOVQ (48)(SP), R14
|
|
SBBQ (48)(CX), R14
|
|
MOVQ (56)(SP), R15
|
|
SBBQ (56)(CX), R15
|
|
|
|
// [R8-R15] <- (AH+AL)*(BH+BL) - AL*BL - AH*BH
|
|
MOVQ (64)(CX), AX
|
|
SUBQ AX, R8
|
|
MOVQ (72)(CX), AX
|
|
SBBQ AX, R9
|
|
MOVQ (80)(CX), AX
|
|
SBBQ AX, R10
|
|
MOVQ (88)(CX), AX
|
|
SBBQ AX, R11
|
|
MOVQ (96)(CX), AX
|
|
SBBQ AX, R12
|
|
MOVQ (104)(CX), DX
|
|
SBBQ DX, R13
|
|
MOVQ (112)(CX), DI
|
|
SBBQ DI, R14
|
|
MOVQ (120)(CX), SI
|
|
SBBQ SI, R15
|
|
|
|
// Final result
|
|
ADDQ (32)(CX), R8
|
|
MOVQ R8, (32)(CX)
|
|
ADCQ (40)(CX), R9
|
|
MOVQ R9, (40)(CX)
|
|
ADCQ (48)(CX), R10
|
|
MOVQ R10, (48)(CX)
|
|
ADCQ (56)(CX), R11
|
|
MOVQ R11, (56)(CX)
|
|
ADCQ (64)(CX), R12
|
|
MOVQ R12, (64)(CX)
|
|
ADCQ (72)(CX), R13
|
|
MOVQ R13, (72)(CX)
|
|
ADCQ (80)(CX), R14
|
|
MOVQ R14, (80)(CX)
|
|
ADCQ (88)(CX), R15
|
|
MOVQ R15, (88)(CX)
|
|
ADCQ $0, AX
|
|
MOVQ AX, (96)(CX)
|
|
ADCQ $0, DX
|
|
MOVQ DX, (104)(CX)
|
|
ADCQ $0, DI
|
|
MOVQ DI, (112)(CX)
|
|
ADCQ $0, SI
|
|
MOVQ SI, (120)(CX)
|
|
|
|
RET
|
|
|
|
TEXT ·fp503MontgomeryReduce(SB), $0-16
|
|
|
|
MOVQ z+0(FP), REG_P2
|
|
MOVQ x+8(FP), REG_P1
|
|
|
|
MOVQ (REG_P1), R11
|
|
MOVQ P503P1_3, AX
|
|
MULQ R11
|
|
XORQ R8, R8
|
|
ADDQ (24)(REG_P1), AX
|
|
MOVQ AX, (24)(REG_P2)
|
|
ADCQ DX, R8
|
|
|
|
|
|
XORQ R9, R9
|
|
MOVQ P503P1_4, AX
|
|
MULQ R11
|
|
XORQ R10, R10
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
|
|
|
|
MOVQ (8)(REG_P1), R12
|
|
MOVQ P503P1_3, AX
|
|
MULQ R12
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
ADDQ (32)(REG_P1), R8
|
|
MOVQ R8, (32)(REG_P2) // Z4
|
|
ADCQ $0, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
XORQ R8, R8
|
|
MOVQ P503P1_5, AX
|
|
MULQ R11
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R12
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ (16)(REG_P1), R13
|
|
MOVQ P503P1_3, AX
|
|
MULQ R13
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
ADDQ (40)(REG_P1), R9
|
|
MOVQ R9, (40)(REG_P2) // Z5
|
|
ADCQ $0, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
XORQ R9, R9
|
|
MOVQ P503P1_6, AX
|
|
MULQ R11
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R12
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ (24)(REG_P2), R14
|
|
MOVQ P503P1_3, AX
|
|
MULQ R14
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
ADDQ (48)(REG_P1), R10
|
|
MOVQ R10, (48)(REG_P2) // Z6
|
|
ADCQ $0, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
XORQ R10, R10
|
|
MOVQ P503P1_7, AX
|
|
MULQ R11
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R12
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R13
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ (32)(REG_P2), R15
|
|
MOVQ P503P1_3, AX
|
|
MULQ R15
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
ADDQ (56)(REG_P1), R8
|
|
MOVQ R8, (56)(REG_P2) // Z7
|
|
ADCQ $0, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
XORQ R8, R8
|
|
MOVQ P503P1_7, AX
|
|
MULQ R12
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R13
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R14
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R15
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ (40)(REG_P2), CX
|
|
MOVQ P503P1_3, AX
|
|
MULQ CX
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
ADDQ (64)(REG_P1), R9
|
|
MOVQ R9, (REG_P2) // Z0
|
|
ADCQ $0, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
XORQ R9, R9
|
|
MOVQ P503P1_7, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R14
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R15
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ CX
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ (48)(REG_P2), R13
|
|
MOVQ P503P1_3, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
ADDQ (72)(REG_P1), R10
|
|
MOVQ R10, (8)(REG_P2) // Z1
|
|
ADCQ $0, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
XORQ R10, R10
|
|
MOVQ P503P1_7, AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R15
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ CX
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R13
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ (56)(REG_P2), R14
|
|
MOVQ P503P1_3, AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
ADDQ (80)(REG_P1), R8
|
|
MOVQ R8, (16)(REG_P2) // Z2
|
|
ADCQ $0, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
XORQ R8, R8
|
|
MOVQ P503P1_7, AX
|
|
MULQ R15
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ CX
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R13
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
MOVQ P503P1_4, AX
|
|
MULQ R14
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADCQ $0, R8
|
|
ADDQ (88)(REG_P1), R9
|
|
MOVQ R9, (24)(REG_P2) // Z3
|
|
ADCQ $0, R10
|
|
ADCQ $0, R8
|
|
|
|
|
|
XORQ R9, R9
|
|
MOVQ P503P1_7, AX
|
|
MULQ CX
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R13
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
MOVQ P503P1_5, AX
|
|
MULQ R14
|
|
ADDQ AX, R10
|
|
ADCQ DX, R8
|
|
ADCQ $0, R9
|
|
ADDQ (96)(REG_P1), R10
|
|
MOVQ R10, (32)(REG_P2) // Z4
|
|
ADCQ $0, R8
|
|
ADCQ $0, R9
|
|
|
|
|
|
XORQ R10, R10
|
|
MOVQ P503P1_7, AX
|
|
MULQ R13
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_6, AX
|
|
MULQ R14
|
|
ADDQ AX, R8
|
|
ADCQ DX, R9
|
|
ADCQ $0, R10
|
|
ADDQ (104)(REG_P1), R8 // Z5
|
|
MOVQ R8, (40)(REG_P2) // Z5
|
|
ADCQ $0, R9
|
|
ADCQ $0, R10
|
|
|
|
|
|
MOVQ P503P1_7, AX
|
|
MULQ R14
|
|
ADDQ AX, R9
|
|
ADCQ DX, R10
|
|
ADDQ (112)(REG_P1), R9 // Z6
|
|
MOVQ R9, (48)(REG_P2) // Z6
|
|
ADCQ $0, R10
|
|
ADDQ (120)(REG_P1), R10 // Z7
|
|
MOVQ R10, (56)(REG_P2) // Z7
|
|
|
|
RET
|
|
|
|
TEXT ·fp503AddLazy(SB), NOSPLIT, $0-24
|
|
|
|
MOVQ z+0(FP), REG_P3
|
|
MOVQ x+8(FP), REG_P1
|
|
MOVQ y+16(FP), REG_P2
|
|
|
|
MOVQ (REG_P1), R8
|
|
MOVQ (8)(REG_P1), R9
|
|
MOVQ (16)(REG_P1), R10
|
|
MOVQ (24)(REG_P1), R11
|
|
MOVQ (32)(REG_P1), R12
|
|
MOVQ (40)(REG_P1), R13
|
|
MOVQ (48)(REG_P1), R14
|
|
MOVQ (56)(REG_P1), R15
|
|
|
|
ADDQ (REG_P2), R8
|
|
ADCQ (8)(REG_P2), R9
|
|
ADCQ (16)(REG_P2), R10
|
|
ADCQ (24)(REG_P2), R11
|
|
ADCQ (32)(REG_P2), R12
|
|
ADCQ (40)(REG_P2), R13
|
|
ADCQ (48)(REG_P2), R14
|
|
ADCQ (56)(REG_P2), R15
|
|
|
|
MOVQ R8, (REG_P3)
|
|
MOVQ R9, (8)(REG_P3)
|
|
MOVQ R10, (16)(REG_P3)
|
|
MOVQ R11, (24)(REG_P3)
|
|
MOVQ R12, (32)(REG_P3)
|
|
MOVQ R13, (40)(REG_P3)
|
|
MOVQ R14, (48)(REG_P3)
|
|
MOVQ R15, (56)(REG_P3)
|
|
|
|
RET
|
|
|
|
TEXT ·fp503X2AddLazy(SB), NOSPLIT, $0-24
|
|
|
|
MOVQ z+0(FP), REG_P3
|
|
MOVQ x+8(FP), REG_P1
|
|
MOVQ y+16(FP), REG_P2
|
|
|
|
MOVQ (REG_P1), R8
|
|
MOVQ (8)(REG_P1), R9
|
|
MOVQ (16)(REG_P1), R10
|
|
MOVQ (24)(REG_P1), R11
|
|
MOVQ (32)(REG_P1), R12
|
|
MOVQ (40)(REG_P1), R13
|
|
MOVQ (48)(REG_P1), R14
|
|
MOVQ (56)(REG_P1), R15
|
|
MOVQ (64)(REG_P1), AX
|
|
MOVQ (72)(REG_P1), BX
|
|
MOVQ (80)(REG_P1), CX
|
|
|
|
ADDQ (REG_P2), R8
|
|
ADCQ (8)(REG_P2), R9
|
|
ADCQ (16)(REG_P2), R10
|
|
ADCQ (24)(REG_P2), R11
|
|
ADCQ (32)(REG_P2), R12
|
|
ADCQ (40)(REG_P2), R13
|
|
ADCQ (48)(REG_P2), R14
|
|
ADCQ (56)(REG_P2), R15
|
|
ADCQ (64)(REG_P2), AX
|
|
ADCQ (72)(REG_P2), BX
|
|
ADCQ (80)(REG_P2), CX
|
|
|
|
MOVQ R8, (REG_P3)
|
|
MOVQ R9, (8)(REG_P3)
|
|
MOVQ R10, (16)(REG_P3)
|
|
MOVQ R11, (24)(REG_P3)
|
|
MOVQ R12, (32)(REG_P3)
|
|
MOVQ R13, (40)(REG_P3)
|
|
MOVQ R14, (48)(REG_P3)
|
|
MOVQ R15, (56)(REG_P3)
|
|
MOVQ AX, (64)(REG_P3)
|
|
MOVQ BX, (72)(REG_P3)
|
|
MOVQ CX, (80)(REG_P3)
|
|
|
|
MOVQ (88)(REG_P1), R8
|
|
MOVQ (96)(REG_P1), R9
|
|
MOVQ (104)(REG_P1), R10
|
|
MOVQ (112)(REG_P1), R11
|
|
MOVQ (120)(REG_P1), R12
|
|
|
|
ADCQ (88)(REG_P2), R8
|
|
ADCQ (96)(REG_P2), R9
|
|
ADCQ (104)(REG_P2), R10
|
|
ADCQ (112)(REG_P2), R11
|
|
ADCQ (120)(REG_P2), R12
|
|
|
|
MOVQ R8, (88)(REG_P3)
|
|
MOVQ R9, (96)(REG_P3)
|
|
MOVQ R10, (104)(REG_P3)
|
|
MOVQ R11, (112)(REG_P3)
|
|
MOVQ R12, (120)(REG_P3)
|
|
|
|
RET
|
|
|
|
TEXT ·fp503X2SubLazy(SB), NOSPLIT, $0-24
|
|
|
|
MOVQ z+0(FP), REG_P3
|
|
MOVQ x+8(FP), REG_P1
|
|
MOVQ y+16(FP), REG_P2
|
|
// Used later to store result of 0-borrow
|
|
XORQ CX, CX
|
|
|
|
// SUBC for first 11 limbs
|
|
MOVQ (REG_P1), R8
|
|
MOVQ (8)(REG_P1), R9
|
|
MOVQ (16)(REG_P1), R10
|
|
MOVQ (24)(REG_P1), R11
|
|
MOVQ (32)(REG_P1), R12
|
|
MOVQ (40)(REG_P1), R13
|
|
MOVQ (48)(REG_P1), R14
|
|
MOVQ (56)(REG_P1), R15
|
|
MOVQ (64)(REG_P1), AX
|
|
MOVQ (72)(REG_P1), BX
|
|
|
|
SUBQ (REG_P2), R8
|
|
SBBQ (8)(REG_P2), R9
|
|
SBBQ (16)(REG_P2), R10
|
|
SBBQ (24)(REG_P2), R11
|
|
SBBQ (32)(REG_P2), R12
|
|
SBBQ (40)(REG_P2), R13
|
|
SBBQ (48)(REG_P2), R14
|
|
SBBQ (56)(REG_P2), R15
|
|
SBBQ (64)(REG_P2), AX
|
|
SBBQ (72)(REG_P2), BX
|
|
|
|
MOVQ R8, (REG_P3)
|
|
MOVQ R9, (8)(REG_P3)
|
|
MOVQ R10, (16)(REG_P3)
|
|
MOVQ R11, (24)(REG_P3)
|
|
MOVQ R12, (32)(REG_P3)
|
|
MOVQ R13, (40)(REG_P3)
|
|
MOVQ R14, (48)(REG_P3)
|
|
MOVQ R15, (56)(REG_P3)
|
|
MOVQ AX, (64)(REG_P3)
|
|
MOVQ BX, (72)(REG_P3)
|
|
|
|
// SUBC for last 5 limbs
|
|
MOVQ (80)(REG_P1), R8
|
|
MOVQ (88)(REG_P1), R9
|
|
MOVQ (96)(REG_P1), R10
|
|
MOVQ (104)(REG_P1), R11
|
|
MOVQ (112)(REG_P1), R12
|
|
MOVQ (120)(REG_P1), R13
|
|
|
|
SBBQ (80)(REG_P2), R8
|
|
SBBQ (88)(REG_P2), R9
|
|
SBBQ (96)(REG_P2), R10
|
|
SBBQ (104)(REG_P2), R11
|
|
SBBQ (112)(REG_P2), R12
|
|
SBBQ (120)(REG_P2), R13
|
|
|
|
MOVQ R8, (80)(REG_P3)
|
|
MOVQ R9, (88)(REG_P3)
|
|
MOVQ R10, (96)(REG_P3)
|
|
MOVQ R11, (104)(REG_P3)
|
|
MOVQ R12, (112)(REG_P3)
|
|
MOVQ R13, (120)(REG_P3)
|
|
|
|
// Now the carry flag is 1 if x-y < 0. If so, add p*2^768.
|
|
SBBQ $0, CX
|
|
|
|
// Load p into registers:
|
|
MOVQ P503_0, R8
|
|
// P503_{1,2} = P503_0, so reuse R8
|
|
MOVQ P503_3, R9
|
|
MOVQ P503_4, R10
|
|
MOVQ P503_5, R11
|
|
MOVQ P503_6, R12
|
|
MOVQ P503_7, R13
|
|
|
|
ANDQ CX, R8
|
|
ANDQ CX, R9
|
|
ANDQ CX, R10
|
|
ANDQ CX, R11
|
|
ANDQ CX, R12
|
|
ANDQ CX, R13
|
|
|
|
ADDQ R8, (64 )(REG_P3)
|
|
ADCQ R8, (64+ 8)(REG_P3)
|
|
ADCQ R8, (64+16)(REG_P3)
|
|
ADCQ R9, (64+24)(REG_P3)
|
|
ADCQ R10, (64+32)(REG_P3)
|
|
ADCQ R11, (64+40)(REG_P3)
|
|
ADCQ R12, (64+48)(REG_P3)
|
|
ADCQ R13, (64+56)(REG_P3)
|
|
|
|
RET
|
|
|