464 lines
7.4 KiB
NASM
464 lines
7.4 KiB
NASM
;; Added by Diederik Huys, March 2013
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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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;; 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-r13 = t0-t3
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;; r14 = b.n[0] / t4
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;; r15 = b.n[1] / t5
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;; rbx = b.n[2] / t6
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;; rcx = b.n[3] / t7
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;; rbp = Constant 0FFFFFFFFFFFFFh / t8
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;; rsi = b.n / b.n[4] / t9
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GLOBAL secp256k1_fe_mul_inner
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ALIGN 32
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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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push rdx
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mov r14,[rsi+8*0] ; preload b.n[0]. This will be the case until
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; b.n[0] is no longer needed, then we reassign
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; r14 to t4
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;; c=a.n[0] * b.n[0]
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mov rax,[rdi+0*8] ; load a.n[0]
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mov rbp,0FFFFFFFFFFFFFh
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mul r14 ; rdx:rax=a.n[0]*b.n[0]
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mov r15,[rsi+1*8]
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mov r10,rbp ; load modulus into target register for t0
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mov r8,rax
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and r10,rax ; only need lower qword of c
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shrd r8,rdx,52
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xor r9,r9 ; c < 2^64, so we ditch the HO part
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;; c+=a.n[0] * b.n[1] + a.n[1] * b.n[0]
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mov rax,[rdi+0*8]
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mul r15
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+1*8]
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mul r14
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mov r11,rbp
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mov rbx,[rsi+2*8]
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add r8,rax
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adc r9,rdx
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and r11,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[0 1 2] * b.n[2 1 0]
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mov rax,[rdi+0*8]
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mul rbx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+1*8]
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mul r15
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+2*8]
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mul r14
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mov r12,rbp
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mov rcx,[rsi+3*8]
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add r8,rax
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adc r9,rdx
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and r12,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[0 1 2 3] * b.n[3 2 1 0]
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mov rax,[rdi+0*8]
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mul rcx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+1*8]
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mul rbx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+2*8]
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mul r15
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+3*8]
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mul r14
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mov r13,rbp
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mov rsi,[rsi+4*8] ; load b.n[4] and destroy pointer
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add r8,rax
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adc r9,rdx
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and r13,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[0 1 2 3 4] * b.n[4 3 2 1 0]
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mov rax,[rdi+0*8]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+1*8]
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mul rcx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+2*8]
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mul rbx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+3*8]
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mul r15
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+4*8]
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mul r14
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mov r14,rbp ; load modulus into t4 and destroy a.n[0]
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add r8,rax
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adc r9,rdx
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and r14,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[1 2 3 4] * b.n[4 3 2 1]
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mov rax,[rdi+1*8]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+2*8]
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mul rcx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+3*8]
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mul rbx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+4*8]
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mul r15
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mov r15,rbp
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add r8,rax
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adc r9,rdx
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and r15,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[2 3 4] * b.n[4 3 2]
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mov rax,[rdi+2*8]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+3*8]
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mul rcx
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+4*8]
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mul rbx
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mov rbx,rbp
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add r8,rax
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adc r9,rdx
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and rbx,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[3 4] * b.n[4 3]
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mov rax,[rdi+3*8]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,[rdi+4*8]
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mul rcx
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mov rcx,rbp
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add r8,rax
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adc r9,rdx
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and rcx,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[4] * b.n[4]
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mov rax,[rdi+4*8]
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mul rsi
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;; mov rbp,rbp ; modulus already there!
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add r8,rax
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adc r9,rdx
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and rbp,r8
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shrd r8,r9,52
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xor r9,r9
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mov rsi,r8 ; load c into t9 and destroy b.n[4]
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;; *******************************************************
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common_exit_norm:
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mov rdi,01000003D10h ; load constant
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mov rax,r15 ; get t5
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mul rdi
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add rax,r10 ; +t0
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adc rdx,0
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mov r10,0FFFFFFFFFFFFFh ; modulus. Sadly, we ran out of registers!
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mov r8,rax ; +c
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and r10,rax
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shrd r8,rdx,52
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xor r9,r9
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mov rax,rbx ; get t6
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mul rdi
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add rax,r11 ; +t1
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adc rdx,0
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mov r11,0FFFFFFFFFFFFFh ; modulus
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add r8,rax ; +c
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adc r9,rdx
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and r11,r8
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shrd r8,r9,52
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xor r9,r9
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mov rax,rcx ; get t7
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mul rdi
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add rax,r12 ; +t2
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adc rdx,0
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pop rbx ; retrieve pointer to this.n
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mov r12,0FFFFFFFFFFFFFh ; modulus
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add r8,rax ; +c
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adc r9,rdx
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and r12,r8
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mov [rbx+2*8],r12 ; mov into this.n[2]
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shrd r8,r9,52
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xor r9,r9
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mov rax,rbp ; get t8
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mul rdi
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add rax,r13 ; +t3
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adc rdx,0
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mov r13,0FFFFFFFFFFFFFh ; modulus
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add r8,rax ; +c
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adc r9,rdx
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and r13,r8
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mov [rbx+3*8],r13 ; -> this.n[3]
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shrd r8,r9,52
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xor r9,r9
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mov rax,rsi ; get t9
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mul rdi
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add rax,r14 ; +t4
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adc rdx,0
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mov r14,0FFFFFFFFFFFFh ; !!!
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add r8,rax ; +c
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adc r9,rdx
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and r14,r8
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mov [rbx+4*8],r14 ; -> this.n[4]
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shrd r8,r9,48 ; !!!
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xor r9,r9
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mov rax,01000003D1h
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mul r8
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add rax,r10
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adc rdx,0
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mov r10,0FFFFFFFFFFFFFh ; modulus
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mov r8,rax
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and rax,r10
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shrd r8,rdx,52
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mov [rbx+0*8],rax ; -> this.n[0]
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add r8,r11
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mov [rbx+1*8],r8 ; -> this.n[1]
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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 = this.a
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;; INTERNAL: rdx:rax = multiplication accumulator
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;; r9:r8 = c
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;; r10-r13 = t0-t3
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;; r14 = a.n[0] / t4
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;; r15 = a.n[1] / t5
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;; rbx = a.n[2] / t6
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;; rcx = a.n[3] / t7
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;; rbp = 0FFFFFFFFFFFFFh / t8
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;; rsi = a.n[4] / a.n[4] /t9
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GLOBAL secp256k1_fe_sqr_inner
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ALIGN 32
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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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push rsi
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mov rbp,0FFFFFFFFFFFFFh
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;; c=a.n[0] * a.n[0]
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mov r14,[rdi+0*8] ; r14=a.n[0]
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mov r10,rbp ; modulus
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mov rax,r14
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mul rax
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mov r15,[rdi+1*8] ; a.n[1]
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add r14,r14 ; r14=2*a.n[0]
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mov r8,rax
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and r10,rax ; only need lower qword
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shrd r8,rdx,52
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xor r9,r9
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;; c+=2*a.n[0] * a.n[1]
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mov rax,r14 ; r14=2*a.n[0]
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mul r15
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mov rbx,[rdi+2*8] ; rbx=a.n[2]
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mov r11,rbp ; modulus
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add r8,rax
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adc r9,rdx
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and r11,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[0]*a.n[2]+a.n[1]*a.n[1]
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mov rax,r14
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mul rbx
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add r8,rax
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adc r9,rdx
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mov rax,r15
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mov r12,rbp ; modulus
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mul rax
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mov rcx,[rdi+3*8] ; rcx=a.n[3]
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add r15,r15 ; r15=a.n[1]*2
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add r8,rax
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adc r9,rdx
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and r12,r8 ; only need lower dword
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[0]*a.n[3]+2*a.n[1]*a.n[2]
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mov rax,r14
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mul rcx
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add r8,rax
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adc r9,rdx
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mov rax,r15 ; rax=2*a.n[1]
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mov r13,rbp ; modulus
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mul rbx
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mov rsi,[rdi+4*8] ; rsi=a.n[4]
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add r8,rax
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adc r9,rdx
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and r13,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[0]*a.n[4]+2*a.n[1]*a.n[3]+a.n[2]*a.n[2]
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mov rax,r14 ; last time we need 2*a.n[0]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,r15
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mul rcx
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mov r14,rbp ; modulus
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add r8,rax
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adc r9,rdx
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mov rax,rbx
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mul rax
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add rbx,rbx ; rcx=2*a.n[2]
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add r8,rax
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adc r9,rdx
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and r14,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[1]*a.n[4]+2*a.n[2]*a.n[3]
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mov rax,r15 ; last time we need 2*a.n[1]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,rbx
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mul rcx
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mov r15,rbp ; modulus
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add r8,rax
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adc r9,rdx
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and r15,r8
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[2]*a.n[4]+a.n[3]*a.n[3]
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mov rax,rbx ; last time we need 2*a.n[2]
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mul rsi
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add r8,rax
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adc r9,rdx
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mov rax,rcx ; a.n[3]
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mul rax
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mov rbx,rbp ; modulus
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add r8,rax
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adc r9,rdx
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and rbx,r8 ; only need lower dword
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lea rax,[2*rcx]
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shrd r8,r9,52
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xor r9,r9
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;; c+=2*a.n[3]*a.n[4]
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mul rsi
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mov rcx,rbp ; modulus
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add r8,rax
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adc r9,rdx
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and rcx,r8 ; only need lower dword
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shrd r8,r9,52
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xor r9,r9
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;; c+=a.n[4]*a.n[4]
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mov rax,rsi
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mul rax
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;; mov rbp,rbp ; modulus is already there!
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add r8,rax
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adc r9,rdx
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and rbp,r8
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shrd r8,r9,52
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xor r9,r9
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mov rsi,r8
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;; *******************************************************
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jmp common_exit_norm
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end
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