circom/ports/c/buildasm/cmpops.asm.ejs

<% function signL(reg, label_pos, label_neg) { %>
<%   for (let i=n64-1; i>=0; i--) { %>
        mov     rax, [<%=reg%> + <%= 8+(i*8) %>]
        cmp     [half + <%= (i*8) %>], rax     ; comare with (q-1)/2
        jc <%=label_neg%>                           ; half<rax => e1-e2 is neg => e1 < e2
<%     if (i>0) { %>
        jnz <%=label_pos%>                       ; half>rax => e1 -e2 is pos => e1 > e2
<%     } else { %>
        jmp <%=label_pos%>
<%     } %>
<%   } %>
<% } %>


;;;;;;;;;;;;;;;;;;;;;;
; rgt - Raw Greater Than
;;;;;;;;;;;;;;;;;;;;;;
; returns in ax 1 id *rsi > *rdx
; Params:
;   rsi <= Pointer to element 1
;   rdx <= Pointer to element 2
;   rax <= Return 1 or 0
; Modified Registers:
;    r8, r9, rax
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_rgt:
        mov    r8, [rsi]
        mov    r9, [rdx]
        bt     r8, 63          ; Check if is short first operand
        jc     rgt_l1
        bt     r9, 63          ; Check if is short second operand
        jc     rgt_s1l2

rgt_s1s2:                       ; Both operands are short
        cmp    r8d, r9d
        jg     rgt_ret1
        jmp    rgt_ret0


rgt_l1:
        bt     r9, 63          ; Check if is short second operand
        jc     rgt_l1l2

;;;;;;;;
rgt_l1s2:
        bt     r8, 62          ; check if montgomery first
        jc     rgt_l1ms2
rgt_l1ns2:
<%=     global.toLong_b() %>
        jmp rgtL1L2

rgt_l1ms2:
<%=     global.toLong_b()       %>
<%=     global.fromMont_a()     %>
        jmp rgtL1L2


;;;;;;;;
rgt_s1l2:
        bt     r9, 62          ; check if montgomery second
        jc     rgt_s1l2m
rgt_s1l2n:
<%=     global.toLong_a()       %>
        jmp rgtL1L2

rgt_s1l2m:
<%=     global.toLong_a()       %>
<%=     global.fromMont_b()     %>
        jmp rgtL1L2

;;;;
rgt_l1l2:
        bt     r8, 62          ; check if montgomery first
        jc     rgt_l1ml2
rgt_l1nl2:
        bt     r9, 62          ; check if montgomery second
        jc     rgt_l1nl2m
rgt_l1nl2n:
        jmp rgtL1L2

rgt_l1nl2m:
<%=     global.fromMont_b()       %>
        jmp rgtL1L2

rgt_l1ml2:
        bt     r9, 62          ; check if montgomery second
        jc     rgt_l1ml2m
rgt_l1ml2n:
<%=     global.fromMont_a()       %>
        jmp rgtL1L2

rgt_l1ml2m:
<%=     global.fromMont_a()       %>
<%=     global.fromMont_b()       %>
        jmp rgtL1L2


;;;;;;
; rgtL1L2
;;;;;;

rgtL1L2:
<%=     signL("rsi", "rgtl1l2_p1", "rgtl1l2_n1") %>
rgtl1l2_p1:
<%=     signL("rdx", "rgtRawL1L2", "rgt_ret1") %>

rgtl1l2_n1:
<%=     signL("rdx", "rgt_ret0", "rgtRawL1L2") %>


rgtRawL1L2:
<%   for (let i=n64-1; i>=0; i--) { %>
        mov     rax, [rsi + <%= 8+(i*8) %>]
        cmp     [rdx + <%= 8+(i*8) %>], rax     ; comare with (q-1)/2
        jc rgt_ret1                      ; rsi<rdx => 1st > 2nd
<%     if (i>0) { %>
        jnz rgt_ret0
<%     }  %>
<%   } %>

rgt_ret0:
        xor    rax, rax
        ret
rgt_ret1:
        mov    rax, 1
        ret



;;;;;;;;;;;;;;;;;;;;;;
; rlt - Raw Less Than
;;;;;;;;;;;;;;;;;;;;;;
; returns in ax 1 id *rsi > *rdx
; Params:
;   rsi <= Pointer to element 1
;   rdx <= Pointer to element 2
;   rax <= Return 1 or 0
; Modified Registers:
;    r8, r9, rax
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_rlt:
        mov    r8, [rsi]
        mov    r9, [rdx]
        bt     r8, 63          ; Check if is short first operand
        jc     rlt_l1
        bt     r9, 63          ; Check if is short second operand
        jc     rlt_s1l2

rlt_s1s2:                       ; Both operands are short
        cmp    r8d, r9d
        jl     rlt_ret1
        jmp    rlt_ret0


rlt_l1:
        bt     r9, 63          ; Check if is short second operand
        jc     rlt_l1l2

;;;;;;;;
rlt_l1s2:
        bt     r8, 62          ; check if montgomery first
        jc     rlt_l1ms2
rlt_l1ns2:
<%=     global.toLong_b() %>
        jmp rltL1L2

rlt_l1ms2:
<%=     global.toLong_b()       %>
<%=     global.fromMont_a()     %>
        jmp rltL1L2


;;;;;;;;
rlt_s1l2:
        bt     r9, 62          ; check if montgomery second
        jc     rlt_s1l2m
rlt_s1l2n:
<%=     global.toLong_a()       %>
        jmp rltL1L2

rlt_s1l2m:
<%=     global.toLong_a()       %>
<%=     global.fromMont_b()     %>
        jmp rltL1L2

;;;;
rlt_l1l2:
        bt     r8, 62          ; check if montgomery first
        jc     rlt_l1ml2
rlt_l1nl2:
        bt     r9, 62          ; check if montgomery second
        jc     rlt_l1nl2m
rlt_l1nl2n:
        jmp rltL1L2

rlt_l1nl2m:
<%=     global.fromMont_b()       %>
        jmp rltL1L2

rlt_l1ml2:
        bt     r9, 62          ; check if montgomery second
        jc     rlt_l1ml2m
rlt_l1ml2n:
<%=     global.fromMont_a()       %>
        jmp rltL1L2

rlt_l1ml2m:
<%=     global.fromMont_a()       %>
<%=     global.fromMont_b()       %>
        jmp rltL1L2


;;;;;;
; rltL1L2
;;;;;;

rltL1L2:
<%=     signL("rsi", "rltl1l2_p1", "rltl1l2_n1") %>
rltl1l2_p1:
<%=     signL("rdx", "rltRawL1L2", "rlt_ret0") %>

rltl1l2_n1:
<%=     signL("rdx", "rlt_ret1", "rltRawL1L2") %>


rltRawL1L2:
<%   for (let i=n64-1; i>=0; i--) { %>
        mov     rax, [rsi + <%= 8+(i*8) %>]
        cmp     [rdx + <%= 8+(i*8) %>], rax     ; comare with (q-1)/2
        jc rlt_ret0                      ; rsi<rdx => 1st > 2nd
        jnz rlt_ret1
<%   } %>

rlt_ret0:
        xor    rax, rax
        ret
rlt_ret1:
        mov    rax, 1
        ret



;;;;;;;;;;;;;;;;;;;;;;
; req - Raw Eq
;;;;;;;;;;;;;;;;;;;;;;
; returns in ax 1 id *rsi == *rdx
; Params:
;   rsi <= Pointer to element 1
;   rdx <= Pointer to element 2
;   rax <= Return 1 or 0
; Modified Registers:
;    r8, r9, rax
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_req:
        mov    r8, [rsi]
        mov    r9, [rdx]
        bt     r8, 63          ; Check if is short first operand
        jc     req_l1
        bt     r9, 63          ; Check if is short second operand
        jc     req_s1l2

req_s1s2:                       ; Both operands are short
        cmp    r8d, r9d
        je     req_ret1
        jmp    req_ret0


req_l1:
        bt     r9, 63          ; Check if is short second operand
        jc     req_l1l2

;;;;;;;;
req_l1s2:
        bt     r8, 62          ; check if montgomery first
        jc     req_l1ms2
req_l1ns2:
<%=     global.toLong_b() %>
        jmp reqL1L2

req_l1ms2:
<%=     global.toMont_b()       %>
        jmp reqL1L2


;;;;;;;;
req_s1l2:
        bt     r9, 62          ; check if montgomery second
        jc     req_s1l2m
req_s1l2n:
<%=     global.toLong_a()       %>
        jmp reqL1L2

req_s1l2m:
<%=     global.toMont_a()       %>
        jmp reqL1L2

;;;;
req_l1l2:
        bt     r8, 62          ; check if montgomery first
        jc     req_l1ml2
req_l1nl2:
        bt     r9, 62          ; check if montgomery second
        jc     req_l1nl2m
req_l1nl2n:
        jmp reqL1L2

req_l1nl2m:
<%=     global.toMont_a()       %>
        jmp reqL1L2

req_l1ml2:
        bt     r9, 62          ; check if montgomery second
        jc     req_l1ml2m
req_l1ml2n:
<%=     global.toMont_b()       %>
        jmp reqL1L2

req_l1ml2m:
        jmp reqL1L2


;;;;;;
; eqL1L2
;;;;;;

reqL1L2:
<%   for (let i=0; i<n64; i++) { %>
        mov     rax, [rsi + <%= 8+(i*8) %>]
        cmp     [rdx + <%= 8+(i*8) %>], rax
        jne     req_ret0                      ; rsi<rdi => 1st > 2nd
<%   } %>

req_ret1:
        mov    rax, 1
        ret

req_ret0:
        xor    rax, rax
        ret


;;;;;;;;;;;;;;;;;;;;;;
; gt
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_gt:
        call <%=name%>_rgt
        mov [rdi], rax
        ret

;;;;;;;;;;;;;;;;;;;;;;
; lt
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_lt:
        call <%=name%>_rlt
        mov [rdi], rax
        ret

;;;;;;;;;;;;;;;;;;;;;;
; eq
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_eq:
        call <%=name%>_req
        mov [rdi], rax
        ret

;;;;;;;;;;;;;;;;;;;;;;
; neq
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_neq:
        call <%=name%>_req
        xor rax, 1
        mov [rdi], rax
        ret

;;;;;;;;;;;;;;;;;;;;;;
; geq
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_geq:
        call <%=name%>_rlt
        xor rax, 1
        mov [rdi], rax
        ret

;;;;;;;;;;;;;;;;;;;;;;
; leq
;;;;;;;;;;;;;;;;;;;;;;
; Compares 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:
;    rax, rcx
;;;;;;;;;;;;;;;;;;;;;;
<%=name%>_leq:
        call <%=name%>_rgt
        xor rax, 1
        mov [rdi], rax
        ret