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/*
* Montgomery Reduction in x86-64 assembler
* (C) 2008 Jack Lloyd
*
* Distributed under the terms of the Botan license
*/
#include <botan/asm_macr.h>
START_LISTING(mp_monty.S)
START_FUNCTION(bigint_monty_redc)
pushq %r15 #
pushq %r14 #
pushq %r13 #
pushq %r12 #
pushq %rbp #
pushq %rbx #
movq %rdi, %r14 # z
movq %rdx, %r12 # x
movl %esi, %ebp # z_size
xorl %esi, %esi # j.76
movq %r8, -16(%rsp) # u, u
movl %ecx, %ebx # x_size, x_size
movl %ecx, %r8d # x_size, blocks_of_8
andl $-8, %r8d #, blocks_of_8
testl %ecx, %ecx # x_size
je .L3 #,
mov %ecx, %eax # x_size, pretmp.71
leal 1(%rbx), %r15d #, k.73
salq $3, %rax #,
xorl %r13d, %r13d # j
movq %rax, -8(%rsp) #, pretmp.21
.p2align 4,,10
.p2align 3
.L11:
mov %r13d, %eax # j, j
movq -16(%rsp), %rdi # u, y
leaq (%r14,%rax,8), %r11 #, z_j
xorl %r9d, %r9d # i
imulq (%r11), %rdi #* z_j, y
xorl %r10d, %r10d # carry
testl %r8d, %r8d # blocks_of_8
je .L7 #,
.p2align 4,,10
.p2align 3
.LOOP_MUL_ADD:
mov %r9d, %ecx # i, i
addl $8, %r9d #, i
salq $3, %rcx #, D.2315
leaq (%r11,%rcx), %rsi #, tmp130
leaq (%r12,%rcx), %rcx #, tmp131
movq 8*0(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*0(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*0 (%rsi)
movq 8*1(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*1(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*1 (%rsi)
movq 8*2(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*2(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*2 (%rsi)
movq 8*3(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*3(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*3 (%rsi)
movq 8*4(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*4(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*4 (%rsi)
movq 8*5(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*5(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*5 (%rsi)
movq 8*6(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*6(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*6 (%rsi)
movq 8*7(%rcx), %rax
mulq %rdi # y
addq %r10, %rax # carry
adcq $0,%rdx
addq 8*7(%rsi), %rax
adcq $0,%rdx
movq %rdx,%r10 # carry
movq %rax, 8*7 (%rsi)
cmpl %r9d, %r8d # i, blocks_of_8
jne .LOOP_MUL_ADD #,
cmpl %r8d, %ebx # blocks_of_8, x_size
je .L8 #,
.L7:
movl %r8d, %esi # blocks_of_8, i
.p2align 4,,10
.p2align 3
.L5:
mov %esi, %eax # i, i
movq %rdi, %rcx # y, b
leaq (%r11, %rax,8), %r9 #, D.2325
incl %esi # i
movq (%r12, %rax,8), %rax #* x, tmp133
mulq %rcx # b
addq (%r9), %rax #* D.2325, a
adcq $0,%rdx #
addq %r10, %rax # carry, a
adcq $0,%rdx #
cmpl %esi, %ebx # i, x_size
movq %rdx, %r10 #, carry
movq %rax, (%r9) # a,* D.2325
jne .L5 #,
.L8:
movq -8(%rsp), %rdx # pretmp.21,
leaq (%r11,%rdx), %rax #, D.2332
movq (%rax), %rcx #* D.2332, D.2333
leaq (%r10,%rcx), %rdx #, z_sum
movq %rdx, (%rax) # z_sum,* D.2332
cmpq %rdx, %rcx # z_sum, D.2333
jbe .L9 #,
cmpl %ebp, %r15d # z_size, k.73
je .L9 #,
movl %r15d, %ecx # k.73, k
jmp .L10 #
.p2align 4,,10
.p2align 3
.L31:
incl %ecx # k
cmpl %ecx, %ebp # k, z_size
.p2align 4,,4
.p2align 3
je .L9 #,
.L10:
mov %ecx, %edx # k, k
leaq (%r11,%rdx,8), %rdx #, D.2342
movq (%rdx), %rax #* D.2342, tmp136
incq %rax # D.2344
movq %rax, (%rdx) # D.2344,* D.2342
testq %rax, %rax # D.2344
je .L31 #,
.L9:
incl %r13d # j
decl %ebp # z_size
cmpl %r13d, %ebx # j, x_size
jne .L11 #,
movl %ebx, %esi # x_size, j.76
.L3:
leal (%rbx,%rbx), %eax #, tmp137
mov %eax, %eax
leaq (%r14, %rax,8), %rdi #, D.2349
cmpq $0, (%rdi) #,* D.2349
jne .L12 #,
testl %ebx, %ebx # x_size
je .L12 #,
leal -1(%rbx), %ecx #, j
leal (%rsi,%rcx), %edx #, tmp141
mov %ecx, %eax # j, j
movq (%r14,%rdx,8), %rbp #* z,
cmpq %rbp, (%r12, %rax,8) #,* x
jb .L12 #,
ja .L_EXIT #,
leal -2(%rsi,%rbx), %edx #, ivtmp.45
jmp .L14 #
.p2align 4,,10
.p2align 3
.L15:
mov %edx, %eax # ivtmp.45, ivtmp.45
decl %ecx # j
movq (%r14, %rax,8), %rsi #* z, D.2360
mov %ecx, %eax # j, j
movq (%r12, %rax,8), %rax #* x, temp.68
cmpq %rax, %rsi
ja .L12 #,
decl %edx # ivtmp.45
cmpq %rax, %rsi
jb .L_EXIT #,
.L14:
testl %ecx, %ecx # j
jne .L15 #,
.L12:
xorl %ecx, %ecx # j
xorl %r10d, %r10d # carry
mov %ebx, %esi # x_size, pretmp.19
testl %r8d, %r8d # blocks_of_8
je .L17 #,
.p2align 4,,10
.p2align 3
.L22:
mov %ecx, %edx # j, D.2375
addl $8, %ecx #, j
leaq (%rdx,%rsi), %rax #, tmp146
leaq (%r12,%rdx,8), %rdx #, tmp150
leaq (%r14, %rax,8), %rax #, tmp148
rorq %r10 # carry
movq 8*0(%rdx), %r10
sbbq %r10, 8*0(%rax)
movq 8*1(%rdx), %r10
sbbq %r10, 8*1(%rax)
movq 8*2(%rdx), %r10
sbbq %r10, 8*2(%rax)
movq 8*3(%rdx), %r10
sbbq %r10, 8*3(%rax)
movq 8*4(%rdx), %r10
sbbq %r10, 8*4(%rax)
movq 8*5(%rdx), %r10
sbbq %r10, 8*5(%rax)
movq 8*6(%rdx), %r10
sbbq %r10, 8*6(%rax)
movq 8*7(%rdx), %r10
sbbq %r10, 8*7(%rax)
sbbq %r10,%r10 # carry
negq %r10 # carry
cmpl %ecx, %r8d # j, blocks_of_8
jne .L22 #,
.L17:
cmpl %r8d, %ebx # blocks_of_8, x_size
je .L19 #,
leal (%r8,%rbx), %r9d #, ivtmp.33
movl %r8d, %esi # blocks_of_8, j
.p2align 4,,10
.p2align 3
.L20:
mov %r9d, %eax # ivtmp.33, ivtmp.33
mov %esi, %ecx # j, j
leaq (%r14, %rax,8), %rax #, D.2387
incl %esi # j
movq (%rax), %rdx #* D.2387, tmp153
incl %r9d # ivtmp.33
rorq %r10 # carry
sbbq (%r12,%rcx,8),%rdx #* x, x
sbbq %r10,%r10 # carry
negq %r10 # carry
cmpl %esi, %ebx # j, x_size
movq %rdx, (%rax) # x,* D.2387
jne .L20 #,
.L19:
testq %r10, %r10 # carry
je .L_EXIT #,
decq (%rdi) #* D.2349
.L_EXIT:
popq %rbx #
popq %rbp #
popq %r12 #
popq %r13 #
popq %r14 #
popq %r15 #
END_FUNCTION(bigint_monty_redc)
#if 0
#define Z_ARR ARG_1 // rdi
#define Z_SIZE ARG_2_32 // esi
// X_ARR is ARG_3 == rdx, moved b/c needed for multiply
#define X_SIZE ARG_4_32 // ecx
#define U ARG_5 // r8
/*
We need all arguments for a while (we can reuse U eventually)
So only temp registers are
TEMP_1 %r10
TEMP_2 %r11
TEMP_3 = ARG_6 = %r9
void return, so also
R0 %rax (aka TEMP_9)
is free (but needed for multiply)
Can push:
%rbx (base pointer, callee saved)
%rpb (frame pointer, callee saved)
%r12-%r15 (callee saved)
Can push base/frame pointers since this is a leaf function
and does not reference any data.
*/
push %r12
push %r13
push %r14
push %r15
#define LOOP_CTR_I %r12
#define LOOP_CTR_J %r13
#define CARRY TEMP_1
#define Z_WORD TEMP_2
#define X_ARR TEMP_3
#define MUL_LO %rax
#define MUL_HI %rdx
ASSIGN(X_ARR, ARG_3)
/*
ZEROIZE(CARRY)
ASSIGN(LOOP_CTR, X_SIZE)
JUMP_IF_ZERO(LOOP_CTR, .L_MULADD_DONE)
JUMP_IF_LT(LOOP_CTR, 8, .LOOP_MULADD1)
#define MULADD_OP(N) \
ASSIGN(MUL_LO, ARRAY8(X_ARR, N)) ; \
ASSIGN(Z_WORD, ARRAY8(Z_ARR, N)) ; \
MUL(Y) ; \
ADD(Z_WORD, CARRY) ; \
ASSIGN(CARRY, MUL_HI) ; \
ADD_LAST_CARRY(CARRY) ; \
ADD(Z_WORD, MUL_LO) ; \
ADD_LAST_CARRY(CARRY) ; \
ASSIGN(ARRAY8(Z_ARR, N), Z_WORD)
ALIGN
.LOOP_MULADD8:
MULADD_OP(0)
MULADD_OP(1)
MULADD_OP(2)
MULADD_OP(3)
MULADD_OP(4)
MULADD_OP(5)
MULADD_OP(6)
MULADD_OP(7)
SUB_IMM(LOOP_CTR, 8)
ADD_IMM(Z_ARR, 64)
ADD_IMM(X_ARR, 64)
cmp IMM(8), LOOP_CTR
jge .LOOP_MULADD8
JUMP_IF_ZERO(LOOP_CTR, .L_MULADD_DONE)
ALIGN
.LOOP_MULADD1:
MULADD_OP(0)
SUB_IMM(LOOP_CTR, 1)
ADD_IMM(Z_ARR, 8)
ADD_IMM(X_ARR, 8)
cmp IMM(0), LOOP_CTR
jne .LOOP_MULADD1
*/
pop %r15
pop %r14
pop %r13
pop %r12
#endif
|
