Convert YASM code into inline assembly
This commit is contained in:
Pieter Wuille
@@ -1,529 +0,0 @@
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;; Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille
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;; Distributed under the MIT software license, see the accompanying
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;; file COPYING or http://www.opensource.org/licenses/mit-license.php.
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;; Changelog:
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;; * March 2013, Diederik Huys: Original version
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;; * November 2014, Pieter Wuille: Updated to use Peter Dettman's parallel
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;; multiplication algorithm
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;;
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;; Provided public procedures:
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;; secp256k1_fe_mul_inner
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;; secp256k1_fe_sqr_inner
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;;
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;; Needed tools: YASM (http://yasm.tortall.net)
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;;
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;;
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BITS 64
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%ifidn __OUTPUT_FORMAT__,macho64
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%define SYM(x) _ %+ x
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%else
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%define SYM(x) x
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%endif
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;; Procedure ExSetMult
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;; Register Layout:
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;; INPUT: rdi = a->n
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;; rsi = b->n
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;; rdx = r->a
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;;
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;; INTERNAL: rdx:rax = multiplication accumulator
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;; r9:r8 = c
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;; r10:r14 = a0-a4
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;; rcx:rbx = d
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;; rbp = R
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;; rdi = t?
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;; r15 = b->n
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;; rsi = r->n
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GLOBAL SYM(secp256k1_fe_mul_inner)
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ALIGN 32
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SYM(secp256k1_fe_mul_inner):
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push rbp
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push rbx
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push r12
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push r13
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push r14
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push r15
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mov r10,[rdi+0*8]
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mov r11,[rdi+1*8]
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mov r12,[rdi+2*8]
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mov r13,[rdi+3*8]
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mov r14,[rdi+4*8]
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mov rbp,01000003D10h
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mov r15,rsi
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mov rsi,rdx
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;; d += a3 * b0
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mov rax,[r15+0*8]
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mul r13
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mov rbx,rax
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mov rcx,rdx
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;; d += a2 * b1
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mov rax,[r15+1*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b2
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mov rax,[r15+2*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; d = a0 * b3
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mov rax,[r15+3*8]
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mul r10
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add rbx,rax
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adc rcx,rdx
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;; c = a4 * b4
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mov rax,[r15+4*8]
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mul r14
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mov r8,rax
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mov r9,rdx
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;; d += (c & M) * R
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; c >>= 52 (r8 only)
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shrd r8,r9,52
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;; t3 (stack) = d & M
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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push rdi
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; d += a4 * b0
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mov rax,[r15+0*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b1
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mov rax,[r15+1*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b2
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mov rax,[r15+2*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b3
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mov rax,[r15+3*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; d += a0 * b4
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mov rax,[r15+4*8]
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mul r10
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add rbx,rax
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adc rcx,rdx
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;; d += c * R
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mov rax,r8
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; t4 = d & M (rdi)
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; tx = t4 >> 48 (rbp, overwrites R)
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mov rbp,rdi
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shr rbp,48
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;; t4 &= (M >> 4) (stack)
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mov rax,0ffffffffffffh
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and rdi,rax
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push rdi
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;; c = a0 * b0
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mov rax,[r15+0*8]
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mul r10
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mov r8,rax
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mov r9,rdx
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;; d += a4 * b1
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mov rax,[r15+1*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b2
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mov rax,[r15+2*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b3
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mov rax,[r15+3*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += a1 * b4
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mov rax,[r15+4*8]
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mul r11
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add rbx,rax
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adc rcx,rdx
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;; u0 = d & M (rdi)
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mov rdi,rbx
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mov rdx,0fffffffffffffh
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and rdi,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; u0 = (u0 << 4) | tx (rdi)
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shl rdi,4
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or rdi,rbp
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;; c += u0 * (R >> 4)
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mov rax,01000003D1h
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mul rdi
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add r8,rax
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adc r9,rdx
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;; r[0] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+0*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += a1 * b0
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mov rax,[r15+0*8]
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mul r11
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add r8,rax
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adc r9,rdx
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;; c += a0 * b1
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mov rax,[r15+1*8]
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mul r10
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add r8,rax
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adc r9,rdx
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;; d += a4 * b2
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mov rax,[r15+2*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b3
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mov rax,[r15+3*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * b4
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mov rax,[r15+4*8]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; restore rdp = R
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mov rbp,01000003D10h
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;; c += (d & M) * R
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mov rax,rbx
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; r[1] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+8*1],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += a2 * b0
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mov rax,[r15+0*8]
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mul r12
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add r8,rax
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adc r9,rdx
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;; c += a1 * b1
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mov rax,[r15+1*8]
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mul r11
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add r8,rax
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adc r9,rdx
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;; c += a0 * b2 (last use of r10 = a0)
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mov rax,[r15+2*8]
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mul r10
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add r8,rax
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adc r9,rdx
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;; fetch t3 (r10, overwrites a0),t4 (rdi)
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pop rdi
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pop r10
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;; d += a4 * b3
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mov rax,[r15+3*8]
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * b4
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mov rax,[r15+4*8]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; c += (d & M) * R
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mov rax,rbx
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mov rdx,0fffffffffffffh
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and rax,rdx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52 (rbx only)
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shrd rbx,rcx,52
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;; r[2] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+2*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += t3
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add r8,r10
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;; c += d * R
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mov rax,rbx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; r[3] = c & M
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mov rax,r8
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mov rdx,0fffffffffffffh
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and rax,rdx
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mov [rsi+3*8],rax
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;; c >>= 52 (r8 only)
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shrd r8,r9,52
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;; c += t4 (r8 only)
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add r8,rdi
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;; r[4] = c
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mov [rsi+4*8],r8
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pop r15
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pop r14
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pop r13
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pop r12
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pop rbx
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pop rbp
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ret
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;; PROC ExSetSquare
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;; Register Layout:
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;; INPUT: rdi = a.n
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;; rsi = r.n
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;; INTERNAL: rdx:rax = multiplication accumulator
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;; r9:r8 = c
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;; r10:r14 = a0-a4
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;; rcx:rbx = d
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;; rbp = R
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;; rdi = t?
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;; r15 = M
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GLOBAL SYM(secp256k1_fe_sqr_inner)
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ALIGN 32
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SYM(secp256k1_fe_sqr_inner):
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push rbp
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push rbx
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push r12
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push r13
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push r14
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push r15
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mov r10,[rdi+0*8]
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mov r11,[rdi+1*8]
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mov r12,[rdi+2*8]
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mov r13,[rdi+3*8]
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mov r14,[rdi+4*8]
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mov rbp,01000003D10h
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mov r15,0fffffffffffffh
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;; d = (a0*2) * a3
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lea rax,[r10*2]
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mul r13
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mov rbx,rax
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mov rcx,rdx
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;; d += (a1*2) * a2
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lea rax,[r11*2]
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; c = a4 * a4
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mov rax,r14
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mul r14
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mov r8,rax
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mov r9,rdx
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;; d += (c & M) * R
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and rax,r15
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; c >>= 52 (r8 only)
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shrd r8,r9,52
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;; t3 (stack) = d & M
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mov rdi,rbx
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and rdi,r15
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push rdi
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; a4 *= 2
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add r14,r14
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;; d += a0 * a4
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mov rax,r10
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d+= (a1*2) * a3
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lea rax,[r11*2]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; d += a2 * a2
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mov rax,r12
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mul r12
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add rbx,rax
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adc rcx,rdx
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;; d += c * R
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mov rax,r8
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mul rbp
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add rbx,rax
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adc rcx,rdx
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;; t4 = d & M (rdi)
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mov rdi,rbx
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and rdi,r15
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; tx = t4 >> 48 (rbp, overwrites constant)
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mov rbp,rdi
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shr rbp,48
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;; t4 &= (M >> 4) (stack)
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mov rax,0ffffffffffffh
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and rdi,rax
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push rdi
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;; c = a0 * a0
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mov rax,r10
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mul r10
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mov r8,rax
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mov r9,rdx
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;; d += a1 * a4
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mov rax,r11
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += (a2*2) * a3
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lea rax,[r12*2]
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; u0 = d & M (rdi)
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mov rdi,rbx
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and rdi,r15
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; u0 = (u0 << 4) | tx (rdi)
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shl rdi,4
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or rdi,rbp
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;; c += u0 * (R >> 4)
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mov rax,01000003D1h
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mul rdi
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add r8,rax
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adc r9,rdx
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;; r[0] = c & M
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mov rax,r8
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and rax,r15
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mov [rsi+0*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; a0 *= 2
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add r10,r10
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;; c += a0 * a1
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mov rax,r10
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mul r11
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add r8,rax
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adc r9,rdx
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;; d += a2 * a4
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mov rax,r12
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; d += a3 * a3
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mov rax,r13
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mul r13
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add rbx,rax
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adc rcx,rdx
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;; load R in rbp
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mov rbp,01000003D10h
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;; c += (d & M) * R
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mov rax,rbx
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and rax,r15
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52
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shrd rbx,rcx,52
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mov rcx,0
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;; r[1] = c & M
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mov rax,r8
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and rax,r15
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mov [rsi+8*1],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += a0 * a2 (last use of r10)
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mov rax,r10
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mul r12
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add r8,rax
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adc r9,rdx
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;; fetch t3 (r10, overwrites a0),t4 (rdi)
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pop rdi
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pop r10
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;; c += a1 * a1
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mov rax,r11
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mul r11
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add r8,rax
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adc r9,rdx
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;; d += a3 * a4
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mov rax,r13
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mul r14
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add rbx,rax
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adc rcx,rdx
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;; c += (d & M) * R
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mov rax,rbx
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and rax,r15
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mul rbp
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add r8,rax
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adc r9,rdx
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;; d >>= 52 (rbx only)
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shrd rbx,rcx,52
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;; r[2] = c & M
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mov rax,r8
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and rax,r15
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mov [rsi+2*8],rax
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;; c >>= 52
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shrd r8,r9,52
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mov r9,0
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;; c += t3
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add r8,r10
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;; c += d * R
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mov rax,rbx
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mul rbp
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add r8,rax
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adc r9,rdx
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;; r[3] = c & M
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mov rax,r8
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and rax,r15
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mov [rsi+3*8],rax
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||||
;; c >>= 52 (r8 only)
|
||||
shrd r8,r9,52
|
||||
;; c += t4 (r8 only)
|
||||
add r8,rdi
|
||||
;; r[4] = c
|
||||
mov [rsi+4*8],r8
|
||||
|
||||
pop r15
|
||||
pop r14
|
||||
pop r13
|
||||
pop r12
|
||||
pop rbx
|
||||
pop rbp
|
||||
ret
|
||||
@@ -1,13 +1,502 @@
|
||||
/**********************************************************************
|
||||
* Copyright (c) 2013 Pieter Wuille *
|
||||
* Copyright (c) 2013-2014 Diederik Huys, Pieter Wuille *
|
||||
* Distributed under the MIT software license, see the accompanying *
|
||||
* file COPYING or http://www.opensource.org/licenses/mit-license.php.*
|
||||
**********************************************************************/
|
||||
|
||||
/**
|
||||
* Changelog:
|
||||
* - March 2013, Diederik Huys: original version
|
||||
* - November 2014, Pieter Wuille: updated to use Peter Dettman's parallel multiplication algorithm
|
||||
* - December 2014, Pieter Wuille: converted from YASM to GCC inline assembly
|
||||
*/
|
||||
|
||||
#ifndef _SECP256K1_FIELD_INNER5X52_IMPL_H_
|
||||
#define _SECP256K1_FIELD_INNER5X52_IMPL_H_
|
||||
|
||||
void __attribute__ ((sysv_abi)) secp256k1_fe_mul_inner(const uint64_t *a, const uint64_t *b, uint64_t *r);
|
||||
void __attribute__ ((sysv_abi)) secp256k1_fe_sqr_inner(const uint64_t *a, uint64_t *r);
|
||||
SECP256K1_INLINE static void secp256k1_fe_mul_inner(const uint64_t *a, const uint64_t * SECP256K1_RESTRICT b, uint64_t *r) {
|
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator
|
||||
* r9:r8 = c
|
||||
* r15:rcx = d
|
||||
* r10-r14 = a0-a4
|
||||
* rbx = b
|
||||
* %2 = r
|
||||
* %0 = a / t?
|
||||
* rbp = R (0x1000003d10)
|
||||
*/
|
||||
__asm__ __volatile__(
|
||||
"pushq %%rbp\n"
|
||||
|
||||
"movq 0(%0),%%r10\n"
|
||||
"movq 8(%0),%%r11\n"
|
||||
"movq 16(%0),%%r12\n"
|
||||
"movq 24(%0),%%r13\n"
|
||||
"movq 32(%0),%%r14\n"
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
|
||||
/* d += a3 * b0 */
|
||||
"movq 0(%%rbx),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"movq %%rax,%%rcx\n"
|
||||
"movq %%rdx,%%r15\n"
|
||||
/* d += a2 * b1 */
|
||||
"movq 8(%%rbx),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a1 * b2 */
|
||||
"movq 16(%%rbx),%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d = a0 * b3 */
|
||||
"movq 24(%%rbx),%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* c = a4 * b4 */
|
||||
"movq 32(%%rbx),%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"movq %%rax,%%r8\n"
|
||||
"movq %%rdx,%%r9\n"
|
||||
/* d += (c & M) * R */
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* t3 (stack) = d & M */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
"pushq %0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* d += a4 * b0 */
|
||||
"movq 0(%%rbx),%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a3 * b1 */
|
||||
"movq 8(%%rbx),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a2 * b2 */
|
||||
"movq 16(%%rbx),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a1 * b3 */
|
||||
"movq 24(%%rbx),%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a0 * b4 */
|
||||
"movq 32(%%rbx),%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += c * R */
|
||||
"movq %%r8,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* t4 = d & M (%0) */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* tx = t4 >> 48 (%%rbp, overwrites R) */
|
||||
"movq %0,%%rbp\n"
|
||||
"shrq $48,%%rbp\n"
|
||||
/* t4 &= (M >> 4) (stack) */
|
||||
"movq $0xffffffffffff,%%rax\n"
|
||||
"andq %%rax,%0\n"
|
||||
"pushq %0\n"
|
||||
/* c = a0 * b0 */
|
||||
"movq 0(%%rbx),%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"movq %%rax,%%r8\n"
|
||||
"movq %%rdx,%%r9\n"
|
||||
/* d += a4 * b1 */
|
||||
"movq 8(%%rbx),%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a3 * b2 */
|
||||
"movq 16(%%rbx),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a2 * b3 */
|
||||
"movq 24(%%rbx),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a1 * b4 */
|
||||
"movq 32(%%rbx),%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* u0 = d & M (%0) */
|
||||
"movq %%rcx,%0\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* u0 = (u0 << 4) | tx (%0) */
|
||||
"shlq $4,%0\n"
|
||||
"orq %%rbp,%0\n"
|
||||
/* c += u0 * (R >> 4) */
|
||||
"movq $0x1000003d1,%%rax\n"
|
||||
"mulq %0\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[0] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"movq %%rax,0(%2)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* c += a1 * b0 */
|
||||
"movq 0(%%rbx),%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* c += a0 * b1 */
|
||||
"movq 8(%%rbx),%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d += a4 * b2 */
|
||||
"movq 16(%%rbx),%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a3 * b3 */
|
||||
"movq 24(%%rbx),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a2 * b4 */
|
||||
"movq 32(%%rbx),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* restore rdp = R */
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rcx,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
"xorq %%r15,%%r15\n"
|
||||
/* r[1] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"movq %%rax,8(%2)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* c += a2 * b0 */
|
||||
"movq 0(%%rbx),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* c += a1 * b1 */
|
||||
"movq 8(%%rbx),%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* c += a0 * b2 (last use of %%r10 = a0) */
|
||||
"movq 16(%%rbx),%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* fetch t3 (%%r10, overwrites a0),t4 (%0) */
|
||||
"popq %0\n"
|
||||
"popq %%r10\n"
|
||||
/* d += a4 * b3 */
|
||||
"movq 24(%%rbx),%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* d += a3 * b4 */
|
||||
"movq 32(%%rbx),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rcx\n"
|
||||
"adcq %%rdx,%%r15\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rcx,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d >>= 52 (%%rcx only) */
|
||||
"shrdq $52,%%r15,%%rcx\n"
|
||||
/* r[2] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"movq %%rax,16(%2)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* c += t3 */
|
||||
"addq %%r10,%%r8\n"
|
||||
/* c += d * R */
|
||||
"movq %%rcx,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[3] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"movq $0xfffffffffffff,%%rdx\n"
|
||||
"andq %%rdx,%%rax\n"
|
||||
"movq %%rax,24(%2)\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* c += t4 (%%r8 only) */
|
||||
"addq %0,%%r8\n"
|
||||
/* r[4] = c */
|
||||
"movq %%r8,32(%2)\n"
|
||||
|
||||
"popq %%rbp\n"
|
||||
: "+S"(a)
|
||||
: "b"(b), "D"(r)
|
||||
: "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
SECP256K1_INLINE static void secp256k1_fe_sqr_inner(const uint64_t *a, uint64_t *r) {
|
||||
/**
|
||||
* Registers: rdx:rax = multiplication accumulator
|
||||
* r9:r8 = c
|
||||
* rcx:rbx = d
|
||||
* r10-r14 = a0-a4
|
||||
* r15 = M (0xfffffffffffff)
|
||||
* %1 = r
|
||||
* %0 = a / t?
|
||||
* rbp = R (0x1000003d10)
|
||||
*/
|
||||
__asm__ __volatile__(
|
||||
"pushq %%rbp\n"
|
||||
|
||||
"movq 0(%0),%%r10\n"
|
||||
"movq 8(%0),%%r11\n"
|
||||
"movq 16(%0),%%r12\n"
|
||||
"movq 24(%0),%%r13\n"
|
||||
"movq 32(%0),%%r14\n"
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
"movq $0xfffffffffffff,%%r15\n"
|
||||
|
||||
/* d = (a0*2) * a3 */
|
||||
"leaq (%%r10,%%r10,1),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"movq %%rax,%%rbx\n"
|
||||
"movq %%rdx,%%rcx\n"
|
||||
/* d += (a1*2) * a2 */
|
||||
"leaq (%%r11,%%r11,1),%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* c = a4 * a4 */
|
||||
"movq %%r14,%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"movq %%rax,%%r8\n"
|
||||
"movq %%rdx,%%r9\n"
|
||||
/* d += (c & M) * R */
|
||||
"andq %%r15,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* t3 (stack) = d & M */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
"pushq %0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* a4 *= 2 */
|
||||
"addq %%r14,%%r14\n"
|
||||
/* d += a0 * a4 */
|
||||
"movq %%r10,%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* d+= (a1*2) * a3 */
|
||||
"leaq (%%r11,%%r11,1),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* d += a2 * a2 */
|
||||
"movq %%r12,%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* d += c * R */
|
||||
"movq %%r8,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* t4 = d & M (%0) */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* tx = t4 >> 48 (%%rbp, overwrites constant) */
|
||||
"movq %0,%%rbp\n"
|
||||
"shrq $48,%%rbp\n"
|
||||
/* t4 &= (M >> 4) (stack) */
|
||||
"movq $0xffffffffffff,%%rax\n"
|
||||
"andq %%rax,%0\n"
|
||||
"pushq %0\n"
|
||||
/* c = a0 * a0 */
|
||||
"movq %%r10,%%rax\n"
|
||||
"mulq %%r10\n"
|
||||
"movq %%rax,%%r8\n"
|
||||
"movq %%rdx,%%r9\n"
|
||||
/* d += a1 * a4 */
|
||||
"movq %%r11,%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* d += (a2*2) * a3 */
|
||||
"leaq (%%r12,%%r12,1),%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* u0 = d & M (%0) */
|
||||
"movq %%rbx,%0\n"
|
||||
"andq %%r15,%0\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* u0 = (u0 << 4) | tx (%0) */
|
||||
"shlq $4,%0\n"
|
||||
"orq %%rbp,%0\n"
|
||||
/* c += u0 * (R >> 4) */
|
||||
"movq $0x1000003d1,%%rax\n"
|
||||
"mulq %0\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[0] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,0(%1)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* a0 *= 2 */
|
||||
"addq %%r10,%%r10\n"
|
||||
/* c += a0 * a1 */
|
||||
"movq %%r10,%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d += a2 * a4 */
|
||||
"movq %%r12,%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* d += a3 * a3 */
|
||||
"movq %%r13,%%rax\n"
|
||||
"mulq %%r13\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* load R in %%rbp */
|
||||
"movq $0x1000003d10,%%rbp\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rbx,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d >>= 52 */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
"xorq %%rcx,%%rcx\n"
|
||||
/* r[1] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,8(%1)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* c += a0 * a2 (last use of %%r10) */
|
||||
"movq %%r10,%%rax\n"
|
||||
"mulq %%r12\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* fetch t3 (%%r10, overwrites a0),t4 (%0) */
|
||||
"popq %0\n"
|
||||
"popq %%r10\n"
|
||||
/* c += a1 * a1 */
|
||||
"movq %%r11,%%rax\n"
|
||||
"mulq %%r11\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d += a3 * a4 */
|
||||
"movq %%r13,%%rax\n"
|
||||
"mulq %%r14\n"
|
||||
"addq %%rax,%%rbx\n"
|
||||
"adcq %%rdx,%%rcx\n"
|
||||
/* c += (d & M) * R */
|
||||
"movq %%rbx,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* d >>= 52 (%%rbx only) */
|
||||
"shrdq $52,%%rcx,%%rbx\n"
|
||||
/* r[2] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,16(%1)\n"
|
||||
/* c >>= 52 */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
"xorq %%r9,%%r9\n"
|
||||
/* c += t3 */
|
||||
"addq %%r10,%%r8\n"
|
||||
/* c += d * R */
|
||||
"movq %%rbx,%%rax\n"
|
||||
"mulq %%rbp\n"
|
||||
"addq %%rax,%%r8\n"
|
||||
"adcq %%rdx,%%r9\n"
|
||||
/* r[3] = c & M */
|
||||
"movq %%r8,%%rax\n"
|
||||
"andq %%r15,%%rax\n"
|
||||
"movq %%rax,24(%1)\n"
|
||||
/* c >>= 52 (%%r8 only) */
|
||||
"shrdq $52,%%r9,%%r8\n"
|
||||
/* c += t4 (%%r8 only) */
|
||||
"addq %0,%%r8\n"
|
||||
/* r[4] = c */
|
||||
"movq %%r8,32(%1)\n"
|
||||
|
||||
"popq %%rbp\n"
|
||||
: "+S"(a)
|
||||
: "D"(r)
|
||||
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r12", "%r13", "%r14", "%r15", "cc", "memory"
|
||||
);
|
||||
}
|
||||
|
||||
#endif
|
||||
|
||||
Reference in New Issue
Block a user