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global Fr_add global Fr_sub global Fr_neg global Fr_mul global Fr_band global Fr_bor global Fr_bxor global Fr_eq global Fr_neq global Fr_lt global Fr_gt global Fr_leq global Fr_geq global Fr_toNormal global Fr_toMontgomery global Fr_q DEFAULT REL
section .text
;;;;;;;;;;;;;;;;;;;;;;; rawCopyS2L;;;;;;;;;;;;;;;;;;;;;;; Convert a 64 bit integer to a long format field element; Params:; rsi <= the integer; rdi <= Pointer to the overwritted element;; Nidified registers:; rax;;;;;;;;;;;;;;;;;;;;;;;
rawCopyS2L: mov al, 0x80 shl rax, 56 mov [rdi], rax ; set the result to LONG normal
cmp rsi, 0 js u64toLong_adjust_neg
mov [rdi + 8], rsi xor rax, rax
mov [rdi + 16], rax
mov [rdi + 24], rax
mov [rdi + 32], rax
ret
u64toLong_adjust_neg: add rsi, [q] ; Set the first digit mov [rdi + 8], rsi ;
mov rsi, -1 ; all ones
mov rax, rsi ; Add to q adc rax, [q + 8 ] mov [rdi + 16], rax
mov rax, rsi ; Add to q adc rax, [q + 16 ] mov [rdi + 24], rax
mov rax, rsi ; Add to q adc rax, [q + 24 ] mov [rdi + 32], rax
ret
;;;;;;;;;;;;;;;;;;;;;;; rawMontgomeryMul;;;;;;;;;;;;;;;;;;;;;;; Multiply two elements in montgomery form; Params:; rsi <= Pointer to the long data of element 1; rdx <= Pointer to the long data of element 2; rdi <= Pointer to the long data of result; Modified registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;
rawMontgomeryMul: sub rsp, 32 ; Reserve space for ms mov rcx, rdx ; rdx is needed for multiplications so keep it in cx mov r11, 0xc2e1f593efffffff ; np xor r8,r8 xor r9,r9 xor r10,r10
mov rax, [rsi + 0] mul qword [rcx + 0] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 0], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 0] mul qword [rcx + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsi + 8] mul qword [rcx + 0] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 0] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, r9 mul r11 mov [rsp + 8], rax mul qword [q] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsi + 0] mul qword [rcx + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsi + 8] mul qword [rcx + 8] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsi + 16] mul qword [rcx + 0] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 8] mul qword [q + 8] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 0] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, r10 mul r11 mov [rsp + 16], rax mul qword [q] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsi + 0] mul qword [rcx + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 8] mul qword [rcx + 16] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 16] mul qword [rcx + 8] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 24] mul qword [rcx + 0] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 16] mul qword [q + 8] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 8] mul qword [q + 16] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 0] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 24], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 8] mul qword [rcx + 24] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsi + 16] mul qword [rcx + 16] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsi + 24] mul qword [rcx + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 24] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 16] mul qword [q + 16] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 8] mul qword [q + 24] add r9, rax adc r10, rdx adc r8, 0x0
mov [rdi + 0 ], r9 xor r9,r9
mov rax, [rsi + 16] mul qword [rcx + 24] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsi + 24] mul qword [rcx + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 24] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 16] mul qword [q + 24] add r10, rax adc r8, rdx adc r9, 0x0
mov [rdi + 8 ], r10 xor r10,r10
mov rax, [rsi + 24] mul qword [rcx + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 24] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov [rdi + 16 ], r8 xor r8,r8
mov [rdi + 24 ], r9 xor r9,r9
test r10, r10 jnz rawMontgomeryMul_mulM_sq ; Compare with q
mov rax, [rdi + 24] cmp rax, [q + 24] jc rawMontgomeryMul_mulM_done ; q is bigget so done. jnz rawMontgomeryMul_mulM_sq ; q is lower
mov rax, [rdi + 16] cmp rax, [q + 16] jc rawMontgomeryMul_mulM_done ; q is bigget so done. jnz rawMontgomeryMul_mulM_sq ; q is lower
mov rax, [rdi + 8] cmp rax, [q + 8] jc rawMontgomeryMul_mulM_done ; q is bigget so done. jnz rawMontgomeryMul_mulM_sq ; q is lower
mov rax, [rdi + 0] cmp rax, [q + 0] jc rawMontgomeryMul_mulM_done ; q is bigget so done. jnz rawMontgomeryMul_mulM_sq ; q is lower
; If equal substract q
rawMontgomeryMul_mulM_sq:
mov rax, [q + 0] sub [rdi + 0], rax
mov rax, [q + 8] sbb [rdi + 8], rax
mov rax, [q + 16] sbb [rdi + 16], rax
mov rax, [q + 24] sbb [rdi + 24], rax
rawMontgomeryMul_mulM_done: mov rdx, rcx ; recover rdx to its original place. add rsp, 32 ; recover rsp ret
;;;;;;;;;;;;;;;;;;;;;;; rawMontgomeryMul1;;;;;;;;;;;;;;;;;;;;;;; Multiply two elements in montgomery form; Params:; rsi <= Pointer to the long data of element 1; rdx <= second operand; rdi <= Pointer to the long data of result; Modified registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;
rawMontgomeryMul1: sub rsp, 32 ; Reserve space for ms mov rcx, rdx ; rdx is needed for multiplications so keep it in cx mov r11, 0xc2e1f593efffffff ; np xor r8,r8 xor r9,r9 xor r10,r10
mov rax, [rsi + 0] mul rcx add r8, rax adc r9, rdx adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 0], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsi + 8] mul rcx add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 0] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, r9 mul r11 mov [rsp + 8], rax mul qword [q] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsi + 16] mul rcx add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 8] mul qword [q + 8] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 0] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, r10 mul r11 mov [rsp + 16], rax mul qword [q] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsi + 24] mul rcx add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 16] mul qword [q + 8] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 8] mul qword [q + 16] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 0] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 24], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 24] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 16] mul qword [q + 16] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 8] mul qword [q + 24] add r9, rax adc r10, rdx adc r8, 0x0
mov [rdi + 0 ], r9 xor r9,r9
mov rax, [rsp + 24] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 16] mul qword [q + 24] add r10, rax adc r8, rdx adc r9, 0x0
mov [rdi + 8 ], r10 xor r10,r10
mov rax, [rsp + 24] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov [rdi + 16 ], r8 xor r8,r8
mov [rdi + 24 ], r9 xor r9,r9
test r10, r10 jnz rawMontgomeryMul1_mulM_sq ; Compare with q
mov rax, [rdi + 24] cmp rax, [q + 24] jc rawMontgomeryMul1_mulM_done ; q is bigget so done. jnz rawMontgomeryMul1_mulM_sq ; q is lower
mov rax, [rdi + 16] cmp rax, [q + 16] jc rawMontgomeryMul1_mulM_done ; q is bigget so done. jnz rawMontgomeryMul1_mulM_sq ; q is lower
mov rax, [rdi + 8] cmp rax, [q + 8] jc rawMontgomeryMul1_mulM_done ; q is bigget so done. jnz rawMontgomeryMul1_mulM_sq ; q is lower
mov rax, [rdi + 0] cmp rax, [q + 0] jc rawMontgomeryMul1_mulM_done ; q is bigget so done. jnz rawMontgomeryMul1_mulM_sq ; q is lower
; If equal substract q
rawMontgomeryMul1_mulM_sq:
mov rax, [q + 0] sub [rdi + 0], rax
mov rax, [q + 8] sbb [rdi + 8], rax
mov rax, [q + 16] sbb [rdi + 16], rax
mov rax, [q + 24] sbb [rdi + 24], rax
rawMontgomeryMul1_mulM_done: mov rdx, rcx ; recover rdx to its original place. add rsp, 32 ; recover rsp ret
;;;;;;;;;;;;;;;;;;;;;;; rawFromMontgomery;;;;;;;;;;;;;;;;;;;;;;; Multiply two elements in montgomery form; Params:; rsi <= Pointer to the long data of element 1; rdi <= Pointer to the long data of result; Modified registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;
rawFromMontgomery: sub rsp, 32 ; Reserve space for ms mov rcx, rdx ; rdx is needed for multiplications so keep it in cx mov r11, 0xc2e1f593efffffff ; np xor r8,r8 xor r9,r9 xor r10,r10
add r8, [rdi + 0] adc r9, 0x0 adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 0], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
add r9, [rdi + 8] adc r10, 0x0 adc r8, 0x0
mov rax, [rsp + 0] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, r9 mul r11 mov [rsp + 8], rax mul qword [q] add r9, rax adc r10, rdx adc r8, 0x0
add r10, [rdi + 16] adc r8, 0x0 adc r9, 0x0
mov rax, [rsp + 8] mul qword [q + 8] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 0] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, r10 mul r11 mov [rsp + 16], rax mul qword [q] add r10, rax adc r8, rdx adc r9, 0x0
add r8, [rdi + 24] adc r9, 0x0 adc r10, 0x0
mov rax, [rsp + 16] mul qword [q + 8] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 8] mul qword [q + 16] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 0] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, r8 mul r11 mov [rsp + 24], rax mul qword [q] add r8, rax adc r9, rdx adc r10, 0x0
mov rax, [rsp + 24] mul qword [q + 8] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 16] mul qword [q + 16] add r9, rax adc r10, rdx adc r8, 0x0
mov rax, [rsp + 8] mul qword [q + 24] add r9, rax adc r10, rdx adc r8, 0x0
mov [rdi + 0 ], r9 xor r9,r9
mov rax, [rsp + 24] mul qword [q + 16] add r10, rax adc r8, rdx adc r9, 0x0
mov rax, [rsp + 16] mul qword [q + 24] add r10, rax adc r8, rdx adc r9, 0x0
mov [rdi + 8 ], r10 xor r10,r10
mov rax, [rsp + 24] mul qword [q + 24] add r8, rax adc r9, rdx adc r10, 0x0
mov [rdi + 16 ], r8 xor r8,r8
mov [rdi + 24 ], r9 xor r9,r9
test r10, r10 jnz rawFromMontgomery_mulM_sq ; Compare with q
mov rax, [rdi + 24] cmp rax, [q + 24] jc rawFromMontgomery_mulM_done ; q is bigget so done. jnz rawFromMontgomery_mulM_sq ; q is lower
mov rax, [rdi + 16] cmp rax, [q + 16] jc rawFromMontgomery_mulM_done ; q is bigget so done. jnz rawFromMontgomery_mulM_sq ; q is lower
mov rax, [rdi + 8] cmp rax, [q + 8] jc rawFromMontgomery_mulM_done ; q is bigget so done. jnz rawFromMontgomery_mulM_sq ; q is lower
mov rax, [rdi + 0] cmp rax, [q + 0] jc rawFromMontgomery_mulM_done ; q is bigget so done. jnz rawFromMontgomery_mulM_sq ; q is lower
; If equal substract q
rawFromMontgomery_mulM_sq:
mov rax, [q + 0] sub [rdi + 0], rax
mov rax, [q + 8] sbb [rdi + 8], rax
mov rax, [q + 16] sbb [rdi + 16], rax
mov rax, [q + 24] sbb [rdi + 24], rax
rawFromMontgomery_mulM_done: mov rdx, rcx ; recover rdx to its original place. add rsp, 32 ; recover rsp ret
;;;;;;;;;;;;;;;;;;;;;;; toMontgomery;;;;;;;;;;;;;;;;;;;;;;; Convert a number to Montgomery; rdi <= Pointer element to convert; Modified registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;Fr_toMontgomery: mov rax, [rdi] bts rax, 62 ; check if montgomery jc toMontgomery_doNothing bts rax, 63 jc toMontgomeryLong
toMontgomeryShort: mov [rdi], rax add rdi, 8 push rsi lea rsi, [R2] movsx rdx, eax cmp rdx, 0 js negMontgomeryShortposMontgomeryShort: call rawMontgomeryMul1 pop rsi sub rdi, 8 ret
negMontgomeryShort: neg rdx ; Do the multiplication positive and then negate the result. call rawMontgomeryMul1 mov rsi, rdi call rawNegL pop rsi sub rdi, 8 ret
toMontgomeryLong: mov [rdi], rax add rdi, 8 push rsi mov rdx, rdi lea rsi, [R2] call rawMontgomeryMul pop rsi sub rdi, 8
toMontgomery_doNothing: ret
;;;;;;;;;;;;;;;;;;;;;;; toNormal;;;;;;;;;;;;;;;;;;;;;;; Convert a number from Montgomery; rdi <= Pointer element to convert; Modified registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;Fr_toNormal: mov rax, [rdi] btc rax, 62 ; check if montgomery jnc fromMontgomery_doNothing bt rax, 63 ; if short, it means it's converted jnc fromMontgomery_doNothing
fromMontgomeryLong: mov [rdi], rax add rdi, 8 call rawFromMontgomery sub rdi, 8
fromMontgomery_doNothing: ret
;;;;;;;;;;;;;;;;;;;;;;; add;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_add: mov rax, [rsi] mov rcx, [rdx] bt rax, 63 ; Check if is short first operand jc add_l1 bt rcx, 63 ; Check if is short second operand jc add_s1l2
add_s1s2: ; Both operands are short
xor rdx, rdx mov edx, eax add edx, ecx jo add_manageOverflow ; rsi already is the 64bits result
mov [rdi], rdx ; not necessary to adjust so just save and return ret
add_manageOverflow: ; Do the operation in 64 bits push rsi movsx rsi, eax movsx rdx, ecx add rsi, rdx call rawCopyS2L pop rsi ret
add_l1: bt rcx, 63 ; Check if is short second operand jc add_l1l2
;;;;;;;;add_l1s2: bt rax, 62 ; check if montgomery first jc add_l1ms2add_l1ns2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rsi, 8 movsx rdx, ecx add rdi, 8 cmp rdx, 0 jns tmp1 neg rdx call rawSubLS sub rdi, 8 sub rsi, 8 rettmp1: call rawAddLS sub rdi, 8 sub rsi, 8 ret
add_l1ms2: bt rcx, 62 ; check if montgomery second jc add_l1ms2madd_l1ms2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toMontgomery mov rdx, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
add_l1ms2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
;;;;;;;;add_s1l2: bt rcx, 62 ; check if montgomery first jc add_s1l2madd_s1l2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
lea rsi, [rdx + 8] movsx rdx, eax add rdi, 8 cmp rdx, 0 jns tmp2 neg rdx call rawSubLS sub rdi, 8 sub rsi, 8 rettmp2: call rawAddLS sub rdi, 8 sub rsi, 8 ret
add_s1l2m: bt rax, 62 ; check if montgomery second jc add_s1ml2madd_s1nl2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toMontgomery mov rdx, rsi mov rsi, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
add_s1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
;;;;add_l1l2: bt rax, 62 ; check if montgomery first jc add_l1ml2add_l1nl2: bt rcx, 62 ; check if montgomery second jc add_l1nl2madd_l1nl2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
add_l1nl2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toMontgomery mov rdx, rsi mov rsi, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
add_l1ml2: bt rcx, 62 ; check if montgomery seconf jc add_l1ml2madd_l1ml2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toMontgomery mov rdx, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
add_l1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawAddLL sub rdi, 8 sub rsi, 8 ret
;;;;;;;;;;;;;;;;;;;;;;; rawAddLL;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of type long; Params:; rsi <= Pointer to the long data of element 1; rdx <= Pointer to the long data of element 2; rdi <= Pointer to the long data of result; Modified Registers:; rax;;;;;;;;;;;;;;;;;;;;;;rawAddLL: ; Add component by component with carry
mov rax, [rsi + 0] add rax, [rdx + 0] mov [rdi + 0], rax
mov rax, [rsi + 8] adc rax, [rdx + 8] mov [rdi + 8], rax
mov rax, [rsi + 16] adc rax, [rdx + 16] mov [rdi + 16], rax
mov rax, [rsi + 24] adc rax, [rdx + 24] mov [rdi + 24], rax
jc rawAddLL_sq ; if overflow, substract q
; Compare with q
cmp rax, [q + 24] jc rawAddLL_done ; q is bigget so done. jnz rawAddLL_sq ; q is lower
mov rax, [rdi + 16]
cmp rax, [q + 16] jc rawAddLL_done ; q is bigget so done. jnz rawAddLL_sq ; q is lower
mov rax, [rdi + 8]
cmp rax, [q + 8] jc rawAddLL_done ; q is bigget so done. jnz rawAddLL_sq ; q is lower
mov rax, [rdi + 0]
cmp rax, [q + 0] jc rawAddLL_done ; q is bigget so done. jnz rawAddLL_sq ; q is lower
; If equal substract qrawAddLL_sq:
mov rax, [q + 0] sub [rdi + 0], rax
mov rax, [q + 8] sbb [rdi + 8], rax
mov rax, [q + 16] sbb [rdi + 16], rax
mov rax, [q + 24] sbb [rdi + 24], rax
rawAddLL_done: ret
;;;;;;;;;;;;;;;;;;;;;;; rawAddLS;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of type long; Params:; rdi <= Pointer to the long data of result; rsi <= Pointer to the long data of element 1; rdx <= Value to be added;;;;;;;;;;;;;;;;;;;;;;rawAddLS: ; Add component by component with carry
add rdx, [rsi] mov [rdi] ,rdx
mov rdx, 0 adc rdx, [rsi + 8] mov [rdi + 8], rdx
mov rdx, 0 adc rdx, [rsi + 16] mov [rdi + 16], rdx
mov rdx, 0 adc rdx, [rsi + 24] mov [rdi + 24], rdx
jc rawAddLS_sq ; if overflow, substract q
; Compare with q
mov rax, [rdi + 24] cmp rax, [q + 24] jc rawAddLS_done ; q is bigget so done. jnz rawAddLS_sq ; q is lower
mov rax, [rdi + 16] cmp rax, [q + 16] jc rawAddLS_done ; q is bigget so done. jnz rawAddLS_sq ; q is lower
mov rax, [rdi + 8] cmp rax, [q + 8] jc rawAddLS_done ; q is bigget so done. jnz rawAddLS_sq ; q is lower
mov rax, [rdi + 0] cmp rax, [q + 0] jc rawAddLS_done ; q is bigget so done. jnz rawAddLS_sq ; q is lower
; If equal substract qrawAddLS_sq:
mov rax, [q + 0] sub [rdi + 0], rax
mov rax, [q + 8] sbb [rdi + 8], rax
mov rax, [q + 16] sbb [rdi + 16], rax
mov rax, [q + 24] sbb [rdi + 24], rax
rawAddLS_done: ret
;;;;;;;;;;;;;;;;;;;;;;; sub;;;;;;;;;;;;;;;;;;;;;;; Substracts two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_sub: mov rax, [rsi] mov rcx, [rdx] bt rax, 63 ; Check if is long first operand jc sub_l1 bt rcx, 63 ; Check if is long second operand jc sub_s1l2
sub_s1s2: ; Both operands are short
xor rdx, rdx mov edx, eax sub edx, ecx jo sub_manageOverflow ; rsi already is the 64bits result
mov [rdi], rdx ; not necessary to adjust so just save and return ret
sub_manageOverflow: ; Do the operation in 64 bits push rsi movsx rsi, eax movsx rdx, ecx sub rsi, rdx call rawCopyS2L pop rsi ret
sub_l1: bt rcx, 63 ; Check if is short second operand jc sub_l1l2
;;;;;;;;sub_l1s2: bt rax, 62 ; check if montgomery first jc sub_l1ms2sub_l1ns2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rsi, 8 movsx rdx, ecx add rdi, 8 cmp rdx, 0 jns tmp3 neg rdx call rawAddLS sub rdi, 8 sub rsi, 8 rettmp3: call rawSubLS sub rdi, 8 sub rsi, 8 ret
sub_l1ms2: bt rcx, 62 ; check if montgomery second jc sub_l1ms2msub_l1ms2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toMontgomery mov rdx, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
sub_l1ms2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
;;;;;;;;sub_s1l2: bt rcx, 62 ; check if montgomery first jc sub_s1l2msub_s1l2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp eax, 0 js tmp4
; First Operand is positive push rsi add rdi, 8 movsx rsi, eax add rdx, 8 call rawSubSL sub rdi, 8 pop rsi ret
tmp4: ; First operand is negative push rsi lea rsi, [rdx + 8] movsx rdx, eax add rdi, 8 neg rdx call rawNegLS sub rdi, 8 pop rsi ret
sub_s1l2m: bt rax, 62 ; check if montgomery second jc sub_s1ml2msub_s1nl2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toMontgomery mov rdx, rsi mov rsi, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
sub_s1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
;;;;sub_l1l2: bt rax, 62 ; check if montgomery first jc sub_l1ml2sub_l1nl2: bt rcx, 62 ; check if montgomery second jc sub_l1nl2msub_l1nl2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
sub_l1nl2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toMontgomery mov rdx, rsi mov rsi, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
sub_l1ml2: bt rcx, 62 ; check if montgomery seconf jc sub_l1ml2msub_l1ml2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toMontgomery mov rdx, rdi pop rdi
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
sub_l1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawSubLL sub rdi, 8 sub rsi, 8 ret
;;;;;;;;;;;;;;;;;;;;;;; rawSubLS;;;;;;;;;;;;;;;;;;;;;;; Substracts a short element from the long element; Params:; rdi <= Pointer to the long data of result; rsi <= Pointer to the long data of element 1 where will be substracted; rdx <= Value to be substracted; [rdi] = [rsi] - rdx; Modified Registers:; rax;;;;;;;;;;;;;;;;;;;;;;rawSubLS: ; Substract first digit
mov rax, [rsi] sub rax, rdx mov [rdi] ,rax mov rdx, 0
mov rax, [rsi + 8] sbb rax, rdx mov [rdi + 8], rax
mov rax, [rsi + 16] sbb rax, rdx mov [rdi + 16], rax
mov rax, [rsi + 24] sbb rax, rdx mov [rdi + 24], rax
jnc rawSubLS_done ; if overflow, add q
; Add qrawSubLS_aq:
mov rax, [q + 0] add [rdi + 0], rax
mov rax, [q + 8] adc [rdi + 8], rax
mov rax, [q + 16] adc [rdi + 16], rax
mov rax, [q + 24] adc [rdi + 24], rax
rawSubLS_done: ret
;;;;;;;;;;;;;;;;;;;;;;; rawSubSL;;;;;;;;;;;;;;;;;;;;;;; Substracts a long element from a short element; Params:; rdi <= Pointer to the long data of result; rsi <= Value from where will bo substracted; rdx <= Pointer to long of the value to be substracted;; [rdi] = rsi - [rdx]; Modified Registers:; rax;;;;;;;;;;;;;;;;;;;;;;rawSubSL: ; Substract first digit sub rsi, [rdx] mov [rdi] ,rsi
mov rax, 0 sbb rax, [rdx + 8] mov [rdi + 8], rax
mov rax, 0 sbb rax, [rdx + 16] mov [rdi + 16], rax
mov rax, 0 sbb rax, [rdx + 24] mov [rdi + 24], rax
jnc rawSubSL_done ; if overflow, add q
; Add qrawSubSL_aq:
mov rax, [q + 0] add [rdi + 0], rax
mov rax, [q + 8] adc [rdi + 8], rax
mov rax, [q + 16] adc [rdi + 16], rax
mov rax, [q + 24] adc [rdi + 24], rax
rawSubSL_done: ret
;;;;;;;;;;;;;;;;;;;;;;; rawSubLL;;;;;;;;;;;;;;;;;;;;;;; Substracts a long element from a short element; Params:; rdi <= Pointer to the long data of result; rsi <= Pointer to long from where substracted; rdx <= Pointer to long of the value to be substracted;; [rdi] = [rsi] - [rdx]; Modified Registers:; rax;;;;;;;;;;;;;;;;;;;;;;rawSubLL: ; Substract first digit
mov rax, [rsi + 0] sub rax, [rdx + 0] mov [rdi + 0], rax
mov rax, [rsi + 8] sbb rax, [rdx + 8] mov [rdi + 8], rax
mov rax, [rsi + 16] sbb rax, [rdx + 16] mov [rdi + 16], rax
mov rax, [rsi + 24] sbb rax, [rdx + 24] mov [rdi + 24], rax
jnc rawSubLL_done ; if overflow, add q
; Add qrawSubLL_aq:
mov rax, [q + 0] add [rdi + 0], rax
mov rax, [q + 8] adc [rdi + 8], rax
mov rax, [q + 16] adc [rdi + 16], rax
mov rax, [q + 24] adc [rdi + 24], rax
rawSubLL_done: ret
;;;;;;;;;;;;;;;;;;;;;;; rawNegLS;;;;;;;;;;;;;;;;;;;;;;; Substracts a long element and a short element form 0; Params:; rdi <= Pointer to the long data of result; rsi <= Pointer to long from where substracted; rdx <= short value to be substracted too;; [rdi] = -[rsi] - rdx; Modified Registers:; rax;;;;;;;;;;;;;;;;;;;;;;rawNegLS: mov rax, [q] sub rax, rdx mov [rdi], rax
mov rax, [q + 8 ] sbb rax, 0 mov [rdi + 8], rax
mov rax, [q + 16 ] sbb rax, 0 mov [rdi + 16], rax
mov rax, [q + 24 ] sbb rax, 0 mov [rdi + 24], rax
setc dl
mov rax, [rdi + 0 ] sub rax, [rsi + 0] mov [rdi + 0], rax
mov rax, [rdi + 8 ] sbb rax, [rsi + 8] mov [rdi + 8], rax
mov rax, [rdi + 16 ] sbb rax, [rsi + 16] mov [rdi + 16], rax
mov rax, [rdi + 24 ] sbb rax, [rsi + 24] mov [rdi + 24], rax
setc dh or dl, dh jz rawNegSL_done
; it is a negative value, so add q
mov rax, [q + 0] add [rdi + 0], rax
mov rax, [q + 8] adc [rdi + 8], rax
mov rax, [q + 16] adc [rdi + 16], rax
mov rax, [q + 24] adc [rdi + 24], rax
rawNegSL_done: ret
;;;;;;;;;;;;;;;;;;;;;;; neg;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element to be negated; rdi <= Pointer to result; [rdi] = -[rsi];;;;;;;;;;;;;;;;;;;;;;Fr_neg: mov rax, [rsi] bt rax, 63 ; Check if is short first operand jc neg_l
neg_s: ; Operand is short
neg eax jo neg_manageOverflow ; Check if overflow. (0x80000000 is the only case)
mov [rdi], rax ; not necessary to adjust so just save and return ret
neg_manageOverflow: ; Do the operation in 64 bits push rsi movsx rsi, eax neg rsi call rawCopyS2L pop rsi ret
neg_l: mov [rdi], rax ; Copy the type
add rdi, 8 add rsi, 8 call rawNegL sub rdi, 8 sub rsi, 8 ret
;;;;;;;;;;;;;;;;;;;;;;; rawNeg;;;;;;;;;;;;;;;;;;;;;;; Negates a value; Params:; rdi <= Pointer to the long data of result; rsi <= Pointer to the long data of element 1;; [rdi] = - [rsi];;;;;;;;;;;;;;;;;;;;;;rawNegL: ; Compare is zero
xor rax, rax
cmp [rsi + 0], rax jnz doNegate
cmp [rsi + 8], rax jnz doNegate
cmp [rsi + 16], rax jnz doNegate
cmp [rsi + 24], rax jnz doNegate
; it's zero so just set to zero
mov [rdi + 0], rax
mov [rdi + 8], rax
mov [rdi + 16], rax
mov [rdi + 24], rax
retdoNegate:
mov rax, [q + 0] sub rax, [rsi + 0] mov [rdi + 0], rax
mov rax, [q + 8] sbb rax, [rsi + 8] mov [rdi + 8], rax
mov rax, [q + 16] sbb rax, [rsi + 16] mov [rdi + 16], rax
mov rax, [q + 24] sbb rax, [rsi + 24] mov [rdi + 24], rax
ret
;;;;;;;;;;;;;;;;;;;;;;; mul;;;;;;;;;;;;;;;;;;;;;;; Multiplies two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; [rdi] = [rsi] * [rdi]; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_mul: mov r8, [rsi] mov r9, [rdx] bt r8, 63 ; Check if is short first operand jc mul_l1 bt r9, 63 ; Check if is short second operand jc mul_s1l2
mul_s1s2: ; Both operands are short
xor rax, rax mov eax, r8d imul r9d jo mul_manageOverflow ; rsi already is the 64bits result
mov [rdi], rax ; not necessary to adjust so just save and return
mul_manageOverflow: ; Do the operation in 64 bits push rsi movsx rax, r8d movsx rcx, r9d imul rcx mov rsi, rax call rawCopyS2L pop rsi
ret
mul_l1: bt r9, 63 ; Check if is short second operand jc mul_l1l2
;;;;;;;;mul_l1s2: bt r8, 62 ; check if montgomery first jc mul_l1ms2mul_l1ns2: bt r9, 62 ; check if montgomery first jc mul_l1ns2mmul_l1ns2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
push rsi add rsi, 8 movsx rdx, r9d add rdi, 8 cmp rdx, 0 jns tmp5 neg rdx call rawMontgomeryMul1 mov rsi, rdi call rawNegL sub rdi, 8 pop rsi jmp tmp6tmp5: call rawMontgomeryMul1 sub rdi, 8 pop rsitmp6:
push rsi add rdi, 8 mov rsi, rdi lea rdx, [R3] call rawMontgomeryMul sub rdi, 8 pop rsi
ret
mul_l1ns2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
mul_l1ms2: bt r9, 62 ; check if montgomery second jc mul_l1ms2mmul_l1ms2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
push rsi add rsi, 8 movsx rdx, r9d add rdi, 8 cmp rdx, 0 jns tmp7 neg rdx call rawMontgomeryMul1 mov rsi, rdi call rawNegL sub rdi, 8 pop rsi jmp tmp8tmp7: call rawMontgomeryMul1 sub rdi, 8 pop rsitmp8:
ret
mul_l1ms2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
;;;;;;;;mul_s1l2: bt r8, 62 ; check if montgomery first jc mul_s1ml2mul_s1nl2: bt r9, 62 ; check if montgomery first jc mul_s1nl2mmul_s1nl2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
push rsi lea rsi, [rdx + 8] movsx rdx, r8d add rdi, 8 cmp rdx, 0 jns tmp9 neg rdx call rawMontgomeryMul1 mov rsi, rdi call rawNegL sub rdi, 8 pop rsi jmp tmp10tmp9: call rawMontgomeryMul1 sub rdi, 8 pop rsitmp10:
push rsi add rdi, 8 mov rsi, rdi lea rdx, [R3] call rawMontgomeryMul sub rdi, 8 pop rsi
ret
mul_s1nl2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
push rsi lea rsi, [rdx + 8] movsx rdx, r8d add rdi, 8 cmp rdx, 0 jns tmp11 neg rdx call rawMontgomeryMul1 mov rsi, rdi call rawNegL sub rdi, 8 pop rsi jmp tmp12tmp11: call rawMontgomeryMul1 sub rdi, 8 pop rsitmp12:
ret
mul_s1ml2: bt r9, 62 ; check if montgomery first jc mul_s1ml2mmul_s1ml2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
mul_s1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
;;;;mul_l1l2: bt r8, 62 ; check if montgomery first jc mul_l1ml2mul_l1nl2: bt r9, 62 ; check if montgomery second jc mul_l1nl2mmul_l1nl2n: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
push rsi add rdi, 8 mov rsi, rdi lea rdx, [R3] call rawMontgomeryMul sub rdi, 8 pop rsi
ret
mul_l1nl2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
mul_l1ml2: bt r9, 62 ; check if montgomery seconf jc mul_l1ml2mmul_l1ml2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
mul_l1ml2m: mov r11b, 0xC0 shl r11, 56 mov [rdi], r11
add rdi, 8 add rsi, 8 add rdx, 8 call rawMontgomeryMul sub rdi, 8 sub rsi, 8
ret
;;;;;;;;;;;;;;;;;;;;;;; and;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_band: mov r8, [rsi] mov r9, [rdx] bt r8, 63 ; Check if is short first operand jc and_l1 bt r9, 63 ; Check if is short second operand jc and_s1l2
and_s1s2:
cmp r8d, 0 js tmp13
cmp r9d, 0 js tmp13 xor rdx, rdx ; both ops are positive so do the op and return mov edx, r8d and edx, r9d mov [rdi], rdx ; not necessary to adjust so just save and return ret
tmp13: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1: bt r9, 63 ; Check if is short second operand jc and_l1l2
and_l1s2: bt r8, 62 ; check if montgomery first jc and_l1ms2and_l1ns2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r9d, 0 js tmp14 movsx rax, r9d and rax, [rsi +8] mov [rdi+8], rax
xor rax, rax and rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax and rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax and rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp14: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1ms2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r9 ; r9 is used in montgomery so we need to save it push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi pop r9
cmp r9d, 0 js tmp15 movsx rax, r9d and rax, [rsi +8] mov [rdi+8], rax
xor rax, rax and rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax and rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax and rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp15: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_s1l2: bt r9, 62 ; check if montgomery first jc and_s1l2mand_s1l2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r8d, 0 js tmp16 movsx rax, r8d and rax, [rdx +8] mov [rdi+8], rax
xor rax, rax and rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax and rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp16: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_s1l2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r8 ; r8 is used in montgomery so we need to save it push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi pop r8
cmp r8d, 0 js tmp17 movsx rax, r8d and rax, [rdx +8] mov [rdi+8], rax
xor rax, rax and rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax and rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp17: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1l2: bt r8, 62 ; check if montgomery first jc and_l1ml2 bt r9, 62 ; check if montgomery first jc and_l1nl2mand_l1nl2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1nl2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1ml2: bt r9, 62 ; check if montgomery first jc and_l1ml2mand_l1ml2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
and_l1ml2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] and rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] and rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] and rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] and rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
;;;;;;;;;;;;;;;;;;;;;;; or;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_bor: mov r8, [rsi] mov r9, [rdx] bt r8, 63 ; Check if is short first operand jc or_l1 bt r9, 63 ; Check if is short second operand jc or_s1l2
or_s1s2:
cmp r8d, 0 js tmp18
cmp r9d, 0 js tmp18 xor rdx, rdx ; both ops are positive so do the op and return mov edx, r8d or edx, r9d mov [rdi], rdx ; not necessary to adjust so just save and return ret
tmp18: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1: bt r9, 63 ; Check if is short second operand jc or_l1l2
or_l1s2: bt r8, 62 ; check if montgomery first jc or_l1ms2or_l1ns2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r9d, 0 js tmp19 movsx rax, r9d or rax, [rsi +8] mov [rdi+8], rax
xor rax, rax or rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax or rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax or rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp19: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1ms2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r9 ; r9 is used in montgomery so we need to save it push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi pop r9
cmp r9d, 0 js tmp20 movsx rax, r9d or rax, [rsi +8] mov [rdi+8], rax
xor rax, rax or rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax or rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax or rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp20: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_s1l2: bt r9, 62 ; check if montgomery first jc or_s1l2mor_s1l2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r8d, 0 js tmp21 movsx rax, r8d or rax, [rdx +8] mov [rdi+8], rax
xor rax, rax or rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax or rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp21: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_s1l2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r8 ; r8 is used in montgomery so we need to save it push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi pop r8
cmp r8d, 0 js tmp22 movsx rax, r8d or rax, [rdx +8] mov [rdi+8], rax
xor rax, rax or rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax or rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp22: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1l2: bt r8, 62 ; check if montgomery first jc or_l1ml2 bt r9, 62 ; check if montgomery first jc or_l1nl2mor_l1nl2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1nl2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1ml2: bt r9, 62 ; check if montgomery first jc or_l1ml2mor_l1ml2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
or_l1ml2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] or rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] or rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] or rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] or rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
;;;;;;;;;;;;;;;;;;;;;;; xor;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_bxor: mov r8, [rsi] mov r9, [rdx] bt r8, 63 ; Check if is short first operand jc xor_l1 bt r9, 63 ; Check if is short second operand jc xor_s1l2
xor_s1s2:
cmp r8d, 0 js tmp23
cmp r9d, 0 js tmp23 xor rdx, rdx ; both ops are positive so do the op and return mov edx, r8d xor edx, r9d mov [rdi], rdx ; not necessary to adjust so just save and return ret
tmp23: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1: bt r9, 63 ; Check if is short second operand jc xor_l1l2
xor_l1s2: bt r8, 62 ; check if montgomery first jc xor_l1ms2xor_l1ns2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r9d, 0 js tmp24 movsx rax, r9d xor rax, [rsi +8] mov [rdi+8], rax
xor rax, rax xor rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax xor rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax xor rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp24: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1ms2: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r9 ; r9 is used in montgomery so we need to save it push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi pop r9
cmp r9d, 0 js tmp25 movsx rax, r9d xor rax, [rsi +8] mov [rdi+8], rax
xor rax, rax xor rax, [rsi + 16];
mov [rdi + 16 ], rax;
xor rax, rax xor rax, [rsi + 24];
mov [rdi + 24 ], rax;
xor rax, rax xor rax, [rsi + 32];
and rax, [lboMask] ;
mov [rdi + 32 ], rax;
ret
tmp25: push rdi push rsi mov rdi, rdx movsx rsi, r9d call rawCopyS2L mov rdx, rdi pop rsi pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_s1l2: bt r9, 62 ; check if montgomery first jc xor_s1l2mxor_s1l2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
cmp r8d, 0 js tmp26 movsx rax, r8d xor rax, [rdx +8] mov [rdi+8], rax
xor rax, rax xor rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax xor rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp26: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_s1l2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push r8 ; r8 is used in montgomery so we need to save it push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi pop r8
cmp r8d, 0 js tmp27 movsx rax, r8d xor rax, [rdx +8] mov [rdi+8], rax
xor rax, rax xor rax, [rdx + 16]
mov [rdi + 16 ], rax
xor rax, rax xor rax, [rdx + 24]
mov [rdi + 24 ], rax
xor rax, rax xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
tmp27: push rdi push rdx mov rdi, rsi movsx rsi, r8d call rawCopyS2L mov rsi, rdi pop rdx pop rdi mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1l2: bt r8, 62 ; check if montgomery first jc xor_l1ml2 bt r9, 62 ; check if montgomery first jc xor_l1nl2mxor_l1nl2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1nl2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1ml2: bt r9, 62 ; check if montgomery first jc xor_l1ml2mxor_l1ml2n: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
xor_l1ml2m: mov r11b, 0x80 shl r11, 56 mov [rdi], r11 push rdi mov rdi, rsi mov rsi, rdx call Fr_toNormal mov rdx, rsi mov rsi, rdi pop rdi push rdi mov rdi, rdx call Fr_toNormal mov rdx, rdi pop rdi
mov rax, [rsi + 8] xor rax, [rdx + 8]
mov [rdi + 8 ], rax
mov rax, [rsi + 16] xor rax, [rdx + 16]
mov [rdi + 16 ], rax
mov rax, [rsi + 24] xor rax, [rdx + 24]
mov [rdi + 24 ], rax
mov rax, [rsi + 32] xor rax, [rdx + 32]
and rax, [lboMask]
mov [rdi + 32 ], rax
ret
;;;;;;;;;;;;;;;;;;;;;;; eq;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_eq: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc eq_longCmp
eq_shortCmp: cmp eax, 0 je eq_s_eq js eq_s_lteq_s_gt:
mov qword [rdi], 0 add rsp, 40 ret
eq_s_lt:
mov qword [rdi], 0 add rsp, 40 ret
eq_s_eq:
mov qword [rdi], 1 add rsp, 40 ret
eq_longCmp:
cmp qword [rsp + 32], 0 jnz eq_neq
cmp qword [rsp + 24], 0 jnz eq_neq
cmp qword [rsp + 16], 0 jnz eq_neq
cmp qword [rsp + 8], 0 jnz eq_neq
eq_eq:
mov qword [rdi], 1 add rsp, 40 ret
eq_neq:
mov qword [rdi], 0 add rsp, 40 ret
;;;;;;;;;;;;;;;;;;;;;;; neq;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_neq: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc neq_longCmp
neq_shortCmp: cmp eax, 0 je neq_s_eq js neq_s_ltneq_s_gt:
mov qword [rdi], 1 add rsp, 40 ret
neq_s_lt:
mov qword [rdi], 1 add rsp, 40 ret
neq_s_eq:
mov qword [rdi], 0 add rsp, 40 ret
neq_longCmp:
cmp qword [rsp + 32], 0 jnz neq_neq
cmp qword [rsp + 24], 0 jnz neq_neq
cmp qword [rsp + 16], 0 jnz neq_neq
cmp qword [rsp + 8], 0 jnz neq_neq
neq_eq:
mov qword [rdi], 0 add rsp, 40 ret
neq_neq:
mov qword [rdi], 1 add rsp, 40 ret
;;;;;;;;;;;;;;;;;;;;;;; lt;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_lt: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc lt_longCmp
lt_shortCmp: cmp eax, 0 je lt_s_eq js lt_s_ltlt_s_gt:
mov qword [rdi], 0 add rsp, 40 ret
lt_s_lt:
mov qword [rdi], 1 add rsp, 40 ret
lt_s_eq:
mov qword [rdi], 0 add rsp, 40 ret
lt_longCmp:
cmp qword [rsp + 32], 0 jnz lt_neq
cmp qword [rsp + 24], 0 jnz lt_neq
cmp qword [rsp + 16], 0 jnz lt_neq
cmp qword [rsp + 8], 0 jnz lt_neq
lt_eq:
mov qword [rdi], 0 add rsp, 40 ret
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp29 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp28 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp29 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp28 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp29 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp28 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp29 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp28 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp28:
mov qword [rdi], 0 add rsp, 40 ret
tmp29:
mov qword [rdi], 1 add rsp, 40 ret
lt_neq:
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp31 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp30 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp31 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp30 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp31 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp30 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp31 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp30 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp30:
mov qword [rdi], 0 add rsp, 40 ret
tmp31:
mov qword [rdi], 1 add rsp, 40 ret
;;;;;;;;;;;;;;;;;;;;;;; gt;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_gt: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc gt_longCmp
gt_shortCmp: cmp eax, 0 je gt_s_eq js gt_s_ltgt_s_gt:
mov qword [rdi], 1 add rsp, 40 ret
gt_s_lt:
mov qword [rdi], 0 add rsp, 40 ret
gt_s_eq:
mov qword [rdi], 0 add rsp, 40 ret
gt_longCmp:
cmp qword [rsp + 32], 0 jnz gt_neq
cmp qword [rsp + 24], 0 jnz gt_neq
cmp qword [rsp + 16], 0 jnz gt_neq
cmp qword [rsp + 8], 0 jnz gt_neq
gt_eq:
mov qword [rdi], 0 add rsp, 40 ret
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp33 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp32 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp33 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp32 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp33 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp32 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp33 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp32 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp32:
mov qword [rdi], 1 add rsp, 40 ret
tmp33:
mov qword [rdi], 0 add rsp, 40 ret
gt_neq:
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp35 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp34 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp35 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp34 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp35 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp34 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp35 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp34 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp34:
mov qword [rdi], 1 add rsp, 40 ret
tmp35:
mov qword [rdi], 0 add rsp, 40 ret
;;;;;;;;;;;;;;;;;;;;;;; leq;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_leq: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc leq_longCmp
leq_shortCmp: cmp eax, 0 je leq_s_eq js leq_s_ltleq_s_gt:
mov qword [rdi], 0 add rsp, 40 ret
leq_s_lt:
mov qword [rdi], 1 add rsp, 40 ret
leq_s_eq:
mov qword [rdi], 1 add rsp, 40 ret
leq_longCmp:
cmp qword [rsp + 32], 0 jnz leq_neq
cmp qword [rsp + 24], 0 jnz leq_neq
cmp qword [rsp + 16], 0 jnz leq_neq
cmp qword [rsp + 8], 0 jnz leq_neq
leq_eq:
mov qword [rdi], 1 add rsp, 40 ret
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp37 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp36 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp37 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp36 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp37 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp36 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp37 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp36 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp36:
mov qword [rdi], 0 add rsp, 40 ret
tmp37:
mov qword [rdi], 1 add rsp, 40 ret
leq_neq:
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp39 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp38 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp39 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp38 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp39 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp38 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp39 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp38 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp38:
mov qword [rdi], 0 add rsp, 40 ret
tmp39:
mov qword [rdi], 1 add rsp, 40 ret
;;;;;;;;;;;;;;;;;;;;;;; geq;;;;;;;;;;;;;;;;;;;;;;; Adds two elements of any kind; Params:; rsi <= Pointer to element 1; rdx <= Pointer to element 2; rdi <= Pointer to result can be zero or one.; Modified Registers:; r8, r9, 10, r11, rax, rcx;;;;;;;;;;;;;;;;;;;;;;Fr_geq: sub rsp, 40 ; Save space for the result of the substraction push rdi ; Save rdi lea rdi, [rsp+8] ; We pushed rdi so we need to add 8 call Fr_sub ; Do a substraction call Fr_toNormal ; Convert it to normal pop rdi
mov rax, [rsp] ; We already poped do no need to add 8 bt rax, 63 ; check is result is long jc geq_longCmp
geq_shortCmp: cmp eax, 0 je geq_s_eq js geq_s_ltgeq_s_gt:
mov qword [rdi], 1 add rsp, 40 ret
geq_s_lt:
mov qword [rdi], 0 add rsp, 40 ret
geq_s_eq:
mov qword [rdi], 1 add rsp, 40 ret
geq_longCmp:
cmp qword [rsp + 32], 0 jnz geq_neq
cmp qword [rsp + 24], 0 jnz geq_neq
cmp qword [rsp + 16], 0 jnz geq_neq
cmp qword [rsp + 8], 0 jnz geq_neq
geq_eq:
mov qword [rdi], 1 add rsp, 40 ret
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp41 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp40 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp41 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp40 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp41 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp40 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp41 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp40 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp40:
mov qword [rdi], 1 add rsp, 40 ret
tmp41:
mov qword [rdi], 0 add rsp, 40 ret
geq_neq:
mov rax, [rsp + 32] cmp [half + 24], rax ; comare with (q-1)/2 jc tmp43 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp42 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 24] cmp [half + 16], rax ; comare with (q-1)/2 jc tmp43 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp42 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 16] cmp [half + 8], rax ; comare with (q-1)/2 jc tmp43 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp42 ; half>rax => e1 -e2 is pos => e1 > e2
mov rax, [rsp + 8] cmp [half + 0], rax ; comare with (q-1)/2 jc tmp43 ; half<rax => e1-e2 is neg => e1 < e2 jnz tmp42 ; half>rax => e1 -e2 is pos => e1 > e2
; half == rax => e1-e2 is pos => e1 > e2tmp42:
mov qword [rdi], 1 add rsp, 40 ret
tmp43:
mov qword [rdi], 0 add rsp, 40 ret
section .dataFr_q: dd 0 dd 0x80000000q dq 0x43e1f593f0000001,0x2833e84879b97091,0xb85045b68181585d,0x30644e72e131a029half dq 0xa1f0fac9f8000000,0x9419f4243cdcb848,0xdc2822db40c0ac2e,0x183227397098d014R2 dq 0x1bb8e645ae216da7,0x53fe3ab1e35c59e3,0x8c49833d53bb8085,0x0216d0b17f4e44a5R3 dq 0x5e94d8e1b4bf0040,0x2a489cbe1cfbb6b8,0x893cc664a19fcfed,0x0cf8594b7fcc657clboMask dq 0x1fffffffffffffff
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