mirror of
https://github.com/KolibriOS/kolibrios.git
synced 2024-12-25 16:16:50 +03:00
882 lines
18 KiB
NASM
882 lines
18 KiB
NASM
; Fast Hartley Transform routine
|
|
; Copyright (C) 1999, 2004, 2010
|
|
; Artem Jerdev artem@jerdev.co.uk
|
|
;
|
|
; free KolibriOS version - not to be ported to other OSes
|
|
; ==========================================================
|
|
|
|
|
|
; global constants
|
|
align 8
|
|
_r dq 1.41421356237309504880169 ; = sqrt(2)
|
|
_r2 dq 0.70710678118654752440084 ; = sqrt(2)/2
|
|
_c1 dq 0.92387953251128675612818 ; = cos(pi/8)
|
|
_s1 dq 0.38268343236508977172846 ; = sin(pi/8)
|
|
|
|
;=================================================================
|
|
; parameter1:
|
|
; -- reg dl (bits[3:0]) = Power_of_4
|
|
; returns:
|
|
; -- reg edx = _CosTable address (4k-aligned)
|
|
; assumes: _SinTable = _CosTable + (N/2)*8
|
|
; user heap has to be initialized
|
|
; destroys:
|
|
; -- eax, ebx, ecx
|
|
;; ==========================
|
|
align 4
|
|
CreateSinCosTable:
|
|
xor eax, eax
|
|
inc eax
|
|
mov cl, dl
|
|
and cl, 15
|
|
shl eax, cl
|
|
shl eax, cl
|
|
mov ecx, eax ; now ecx = N
|
|
shl ecx, 3
|
|
mov ebx, 12
|
|
mov eax, 68
|
|
int 0x40 ; getmem(N*sizeof(double))
|
|
|
|
mov edx, eax ; edx = _CosTable
|
|
shr ecx, 1
|
|
mov ebx, eax
|
|
add ebx, ecx ; ebx = _SinTable
|
|
shr ecx, 3
|
|
push ecx ; [esp] = ecx = N/2
|
|
|
|
xor eax, eax
|
|
fldpi
|
|
fidiv dword[esp] ; st : dx = 2*pi/N
|
|
pop ecx
|
|
fldz ; st : 0, dx
|
|
.loop:
|
|
fld st0 ; st : x, x, dx
|
|
FSINCOS ; st : cos, sin, x, dx
|
|
fstp qword [edx+eax*8] ; st : sin, x, dx
|
|
fstp qword [ebx+eax*8] ; st : x, dx
|
|
fadd st0, st1 ; st : x+dx, dx
|
|
|
|
inc eax
|
|
cmp eax, ecx
|
|
jne .loop
|
|
fstp st0 ; st : dx
|
|
fstp st0 ; st : <empty>
|
|
ret
|
|
|
|
;=================================================================
|
|
; parameter1:
|
|
; -- reg edx = _CosTable address
|
|
; destroys:
|
|
; -- eax, ebx, ecx
|
|
;; ==========================
|
|
align 4
|
|
DestroySinCosTable:
|
|
mov ecx, edx
|
|
mov ebx, 13
|
|
mov eax, 68
|
|
int 0x40 ; free(SinCosTable)
|
|
ret
|
|
|
|
;=================================================================
|
|
; parameter1:
|
|
; -- reg dl (bits[3:0]) = Power_of_4
|
|
; -- reg edx && (-16) = 4k-aligned data array address
|
|
; returns:
|
|
; -- edx = Power_of_4
|
|
; -- ecx = N
|
|
; destroys:
|
|
; -- eax, ebx, ecx, edx, esi
|
|
;; ==========================
|
|
align 4
|
|
BitInvert:
|
|
mov esi, edx
|
|
and esi, 0xFFFFFFF0
|
|
and edx, 0x0F
|
|
push edx
|
|
mov cl, dl
|
|
xor eax, eax
|
|
inc eax
|
|
shl eax, cl
|
|
shl eax, cl
|
|
push eax
|
|
xor ecx, ecx ; index term
|
|
.newterm:
|
|
inc ecx
|
|
cmp ecx, [esp] ; N
|
|
jge .done
|
|
|
|
xor eax, eax
|
|
mov edx, ecx
|
|
xor bl, bl
|
|
|
|
.do_invert:
|
|
inc bl
|
|
cmp bl, byte[esp+4] ; Power_of_4
|
|
jg .switch
|
|
|
|
mov bh, dl
|
|
and bh, 3
|
|
shl eax, 2
|
|
or al, bh
|
|
shr edx, 2
|
|
jmp .do_invert
|
|
|
|
.switch:
|
|
cmp eax, ecx
|
|
jle .newterm
|
|
|
|
fld qword [esi+eax*8]
|
|
fld qword [esi+ecx*8]
|
|
fstp qword [esi+eax*8]
|
|
fstp qword [esi+ecx*8]
|
|
jmp .newterm
|
|
|
|
.done:
|
|
pop ecx
|
|
pop edx
|
|
ret
|
|
|
|
;=================================================================
|
|
|
|
|
|
;=================================================================
|
|
; stdcall parameters:
|
|
; -- [esp+4] = N
|
|
; -- [esp+8] = 4k-aligned data array address
|
|
; returns:
|
|
; -- nothing
|
|
; destroys:
|
|
; -- ebx, esi
|
|
;; ==========================
|
|
align 4
|
|
step1:
|
|
mov ebx, [esp+8]
|
|
mov esi, [esp+4]
|
|
shl esi, 3
|
|
add esi, ebx
|
|
|
|
.loop:
|
|
fld qword[ebx]
|
|
fld qword[ebx+8]
|
|
fld st1
|
|
fsub st0, st1 ; st : t2, f[i+1], f[i]
|
|
fxch st1 ; st : f[i+1], t2, f[i]
|
|
faddp st2, st0 ; st : t2, t1
|
|
fld qword[ebx+16]
|
|
fld qword[ebx+24]
|
|
fld st1 ; st : f[i+2], f[i+3], f[i+2], t2, t1
|
|
fadd st0, st1 ; st : t3, f[i+3], f[i+2], t2, t1
|
|
fxch st2 ; st : f[i+2], f[i+3], t3, t2, t1
|
|
fsub st0, st1 ; st : t4, f[i+3], t3, t2, t1
|
|
fstp st1 ; st : t4, t3, t2, t1
|
|
fld st2 ; st : t2, t4, t3, t2, t1
|
|
fadd st0, st1 ; st : t2+t4, t4, t3, t2, t1
|
|
fstp qword[ebx+16] ; st : t4, t3, t2, t1
|
|
fsubp st2, st0 ; st : t3, t2-t4, t1
|
|
fld st2 ; st : t1, t3, t2-t4, t1
|
|
fadd st0, st1 ; st : t1+t3, t3, t2-t4, t1
|
|
fstp qword[ebx] ; st : t3, t2-t4, t1
|
|
fsubp st2, st0 ; st : t2-t4, t1-t3
|
|
fstp qword[ebx+24] ; st : t1-t3
|
|
fstp qword[ebx+8] ; st : <empty>
|
|
|
|
add ebx, 32
|
|
cmp ebx, esi
|
|
jnz .loop
|
|
ret
|
|
|
|
;=================================================================
|
|
; SSE3 version: Step1
|
|
;
|
|
;==========================
|
|
|
|
align 4
|
|
step1_sse:
|
|
mov ebx, [esp+8]
|
|
mov esi, [esp+4]
|
|
shl esi, 3
|
|
add esi, ebx
|
|
|
|
.loop:
|
|
movddup xmm0, [ebx] ; xmm0: f0 ; f0
|
|
movddup xmm1, [ebx+8] ; xmm1: f1 ; f1
|
|
addsubpd xmm0, xmm1 ; xmm0: t1 ; t2 ( + - )
|
|
movddup xmm1, [ebx+16] ; xmm1: f2 ; f2
|
|
movddup xmm2, [ebx+24] ; xmm2: f3 ; f3
|
|
addsubpd xmm1, xmm2 ; xmm1: t3 ; t4 ( + - )
|
|
|
|
movddup xmm2, xmm0 ; xmm2: t2 ; t2
|
|
movddup xmm3, xmm1 ; xmm3: t4 ; t4
|
|
addsubpd xmm2, xmm3 ; xmm2: 2+4; 2-4
|
|
shufpd xmm2, xmm2, 1 ; xmm2: 2-4; 2+4
|
|
movapd [ebx+16], xmm2
|
|
|
|
shufpd xmm0, xmm0, 1 ; xmm0: t2 ; t1
|
|
shufpd xmm1, xmm1, 1 ; xmm1: t4 ; t3
|
|
movddup xmm2, xmm0 ; xmm2: t1 ; t1
|
|
movddup xmm3, xmm1 ; xmm3: t3 ; t3
|
|
addsubpd xmm2, xmm3 ; xmm2: 1+3; 1-3
|
|
shufpd xmm2, xmm2, 1 ; xmm2: 1-3; 1+3
|
|
movapd [ebx], xmm2
|
|
|
|
add ebx, 32
|
|
cmp ebx, esi
|
|
jnz .loop
|
|
ret
|
|
|
|
; local stack definitions
|
|
;===========================================================================
|
|
_t0 equ dword [esp]
|
|
_t1 equ dword[esp+4]
|
|
_t2 equ dword[esp+8]
|
|
_t3 equ dword[esp+12]
|
|
_t4 equ dword[esp+16]
|
|
_t5 equ dword[esp+20]
|
|
_t6 equ dword[esp+24]
|
|
_t7 equ dword[esp+28]
|
|
_t8 equ dword[esp+32]
|
|
_t9 equ dword[esp+36]
|
|
|
|
_l1 equ dword[esp+40]
|
|
_l2 equ dword[esp+44]
|
|
_l3 equ dword[esp+48]
|
|
_l4 equ dword[esp+52]
|
|
_l5 equ dword[esp+56]
|
|
_l6 equ dword[esp+60]
|
|
_l7 equ dword[esp+64]
|
|
_l8 equ dword[esp+68]
|
|
_l9 equ dword[esp+72]
|
|
_l0 equ dword[esp+76]
|
|
_d1 equ dword[esp+80]
|
|
_d2 equ dword[esp+84]
|
|
_d3 equ dword[esp+88]
|
|
_d4 equ dword[esp+92]
|
|
_d5 equ dword[esp+96]
|
|
_d6 equ dword[esp+100]
|
|
_j5 equ dword[esp+104]
|
|
_jj equ dword[esp+108]
|
|
_end_of_array equ dword[esp+112]
|
|
_step equ word [esp+116]
|
|
|
|
|
|
;=================================================================
|
|
; cdecl parameters:
|
|
; -- [ebp+8] = N
|
|
; -- [ebp+12] = 4k-aligned data array address
|
|
; returns:
|
|
; -- nothing
|
|
; destroys:
|
|
; -- eax, ebx
|
|
; locals:
|
|
; -- 10 stack-located dwords (_t0 ... _t9)
|
|
;; ==========================
|
|
align 4
|
|
step2:
|
|
push ebp
|
|
mov ebp, esp
|
|
sub esp, 40
|
|
mov ebx, [ebp+12]
|
|
mov eax, [ebp+ 8]
|
|
shl eax, 3
|
|
add eax, ebx
|
|
|
|
.loop_i:
|
|
|
|
; -- quad subelements +0, +4, +8 and +12 (simpliest operations)
|
|
fld qword[ebx]
|
|
fld qword[ebx+8*4]
|
|
fld st0
|
|
fadd st0, st2 ; st : t1, f_4, f_0
|
|
fxch st1
|
|
fsubp st2, st0 ; st : t1, t2
|
|
fld qword[ebx+8*8]
|
|
fld qword[ebx+8*12]
|
|
fld st0
|
|
fadd st0, st2 ; st : t3, f_12, t1, t2
|
|
fxch st1
|
|
fsubp st2, st0 ; st : t3, t4, t1, t2
|
|
; ------
|
|
fld st2 ; st : t1, t3, t4, t1, t2
|
|
fadd st0, st1
|
|
fstp qword[ebx] ; st : t3, t4, t1, t2
|
|
fsub st0, st2 ; st : t3-t1, t4, t1, t2
|
|
fchs ; st : t1-t3, t4, t1, t2
|
|
fstp qword[ebx+8*4] ; st : t4, t1, t2
|
|
fst st1 ; st : t4, t4, t2
|
|
fadd st0, st2 ; st : t2+t4, t4, t2
|
|
fstp qword[ebx+8*8] ; st : t4, t2
|
|
fsubp st1, st0 ; st : t2-t4
|
|
fstp qword[ebx+8*12] ; st : <empty>
|
|
|
|
; -- even subelements +2, +6, +10 and +14 (2 multiplications needed)
|
|
fld qword[ebx+8*2]
|
|
fld qword[ebx+8*6]
|
|
fld [_r]
|
|
fmul st1, st0 ; st : r, t2, t1
|
|
fld qword[ebx+8*10]
|
|
fxch st1 ; st : r, t3, t2, t1
|
|
fmul qword[ebx+8*14] ; st : t4, t3, t2, t1
|
|
; ------
|
|
fld st3 ; st : t1, t4, t3, t2, t1
|
|
fadd st0, st3 ;
|
|
fadd st0, st2 ;
|
|
fst qword[ebx+8*2] ; store f[i+8] = t1+t2+t3
|
|
fsub st0, st3 ;
|
|
fsub st0, st3 ;
|
|
fstp qword[ebx+8*10] ; store f[i+10]= t1-t2+t3
|
|
fld st3 ; st : t1, t4, t3, t2, t1
|
|
fsub st0, st2 ;
|
|
fsub st0, st1 ;
|
|
fst qword[ebx+8*14] ; store f[i+14]= t1-t3-t4
|
|
fadd st0, st1 ;
|
|
faddp st1, st0 ; st : t1-t3+t4, t3, t2, t1
|
|
fstp qword[ebx+8*6] ; store f[i+6]
|
|
fstp st0 ; st : t2, t1
|
|
fstp st0 ; st : t1
|
|
fstp st0 ; st : <empty>
|
|
|
|
; -- odd subelements
|
|
fld qword[ebx+8*9]
|
|
fld qword[ebx+8*11]
|
|
fld st1
|
|
fsub st0, st1
|
|
fxch st1
|
|
faddp st2, st0 ; st : (f[l3]-f[l7]), (f[l3]+f[l7])
|
|
fld [_r2]
|
|
fmul st2, st0
|
|
fmulp st1, st0 ; st : t9, t6
|
|
fld qword[ebx+8*3]
|
|
fld st0
|
|
fadd st0, st2 ; st : t1, f[l5], t9, t6
|
|
fstp _t1
|
|
fsub st0, st1
|
|
fstp _t2
|
|
fstp _t9 ; (t9 never used)
|
|
fstp _t6 ; st : <empty>
|
|
|
|
fld [_c1]
|
|
fld [_s1]
|
|
fld qword[ebx+8*5]
|
|
fld qword[ebx+8*7]
|
|
fld st3 ; st: c1, f[l6], f[l2], s1, c1
|
|
fmul st0, st2 ; st: f_2*c, f_6, f_2, s, c
|
|
fld st1 ; st: f_6, f_2*c, f_6, f_2, s, c
|
|
fmul st0, st4 ; st: f_6*s, f_2*c, f_6, f_2, s, c
|
|
faddp st1, st0 ; st: t5, f_6, f_2, s, c
|
|
fstp _t5 ; st: f_6, f_2, s, c
|
|
fld st3 ; st: c, f_6, f_2, s, c
|
|
fmul st0, st1
|
|
fld st3
|
|
fmul st0, st3 ; st: f_2*s, f_6*c, f_6, f_2, s, c
|
|
fsubp st1, st0 ; st: t8, f_6, f_2, s, c
|
|
fstp _t8 ; st: f_6, f_2, s, c
|
|
fstp st0 ; st: f_2, s, c
|
|
fstp st0 ; st: s, c
|
|
|
|
fld qword[ebx+8*13]
|
|
fld qword[ebx+8*15]
|
|
fld st3 ; st: c1, f[l8], f[l4], s1, c1
|
|
fmul st0, st1
|
|
fld st3
|
|
fmul st0, st3 ; st: f_4*s, f_8*c, f_8, f_4, s, c
|
|
faddp st1, st0 ; st: t7, f_8, f_4, s, c
|
|
fld _t5 ; st: t5, t7, f_8, f_4, s, c
|
|
fsub st0, st1 ; st: t4, t7, f_8, f_4, s, c
|
|
fstp _t4
|
|
fstp _t7 ; st: f_8, f_4, s, c
|
|
fld st3 ; st: c, f_8, f_4, s, c
|
|
fmul st0, st2
|
|
fld st3
|
|
fmul st0, st2 ; st: f_8*s, f_4*c, f_8, f_4, s, c
|
|
fsubp st1, st0 ; st:-t0, f_8, f_4, s, c
|
|
fchs
|
|
fld _t8
|
|
fchs ; st:-t8, t0, f_8, f_4, s, c
|
|
fsub st0, st1 ; st: t3, t0, f_8, f_4, s, c
|
|
fstp _t3
|
|
fstp _t0 ; st: f_8, f_4, s, c
|
|
fstp st0 ; st: f_4, s, c
|
|
fstp st0 ; st: s, c
|
|
fstp st0 ; st: c
|
|
fstp st0 ; st: <empty>
|
|
|
|
fld _t1
|
|
fld _t4
|
|
fld st1
|
|
fsub st0, st1
|
|
fstp qword[ebx+8*11] ; f[l7] = t1-t4
|
|
faddp st1, st0
|
|
fstp qword[ebx+8*3] ; f[l5] = t1+t4
|
|
fld _t2
|
|
fld _t3
|
|
fld st1
|
|
fsub st0, st1
|
|
fstp qword[ebx+8*15] ; f[l8]
|
|
faddp st1, st0
|
|
fstp qword[ebx+8*7] ; f[l6]
|
|
|
|
fld _t6
|
|
fld qword[ebx+8]
|
|
fld st1
|
|
fld st1
|
|
faddp st3, st0
|
|
fsubp st1, st0 ; st : t2, t1
|
|
|
|
fld _t8
|
|
fsub _t0
|
|
fld _t5
|
|
fadd _t7 ; st : t4, t3, t2, t1
|
|
|
|
fld st3
|
|
fsub st0, st1
|
|
fstp qword[ebx+8*9] ; f[l3] = t1-t4
|
|
fadd st0, st3
|
|
fstp qword[ebx+8] ; f[l1] = t1+t4
|
|
fld st1 ; st : t2, t3, t2, t1
|
|
fsub st0, st1 ; f[l4] = t2-t3
|
|
fstp qword[ebx+8*13] ; st : t3, t2, t1
|
|
faddp st1, st0 ; st : t2+t3, t1
|
|
fstp qword[ebx+8*5] ; f[l2] = t2+t3
|
|
fstp st0 ; st : <empty>
|
|
|
|
add ebx, 16*8
|
|
cmp ebx, eax
|
|
jb .loop_i
|
|
|
|
mov esp, ebp
|
|
pop ebp
|
|
ret
|
|
|
|
|
|
|
|
|
|
;=================================================================
|
|
; cdecl parameters:
|
|
; -- [ebp+8] = N
|
|
; -- [ebp+12] = p
|
|
; -- [ebp+16] = 4k-aligned data array address
|
|
; -- [ebp+20] = 4k-aligned SinCosTable address
|
|
; returns:
|
|
; -- nothing
|
|
; destroys:
|
|
; -- all GPRegs
|
|
; locals:
|
|
; -- 120 stack-located dwords (_t0 ... _t9, _l0..._step)
|
|
;; ==========================
|
|
align 4
|
|
step3:
|
|
push ebp
|
|
mov ebp, esp
|
|
sub esp, 120
|
|
; 283 : {
|
|
|
|
|
|
; 293 : for (l=3; l<=p; l++)
|
|
mov cx, 0x0200
|
|
.newstep:
|
|
inc ch
|
|
cmp ch, byte[ebp+12]
|
|
jg .done
|
|
mov _step, cx
|
|
|
|
; 294 : {
|
|
; 295 : d1 = 1 << (l + l - 3);
|
|
|
|
mov cl, ch
|
|
add cl, cl
|
|
sub cl, 3
|
|
mov edx, 1
|
|
shl edx, cl
|
|
mov _d1, edx
|
|
|
|
; 296 : d2 = d1 << 1;
|
|
shl edx, 1
|
|
mov _d2, edx
|
|
mov eax, edx
|
|
|
|
; 297 : d3 = d2 << 1;
|
|
shl edx, 1
|
|
mov _d3, edx
|
|
|
|
; 298 : d4 = d2 + d3;
|
|
add eax, edx
|
|
mov _d4, eax
|
|
|
|
; 299 : d5 = d3 << 1;
|
|
shl edx, 1
|
|
mov _d5, edx
|
|
shl edx, 3
|
|
mov _d6, edx ; d6 = d5*8 to simplify index operations
|
|
|
|
; 339 : j5 = N / d5; ; moved out of internal loop
|
|
mov cl, [ebp+12]
|
|
sub cl, ch
|
|
add cl, cl
|
|
mov edx, 1
|
|
shl edx, cl
|
|
mov _j5, edx
|
|
|
|
; 300 :
|
|
; 301 : for (j=0; j<N; j+=d5)
|
|
mov ebx, [ebp+16]
|
|
mov esi, [ebp+8]
|
|
shl esi, 3
|
|
add esi, ebx
|
|
mov _end_of_array, esi
|
|
|
|
.next_j:
|
|
|
|
; {
|
|
; t1 = f[j] + f[j+d2];
|
|
mov eax, _d2
|
|
fld qword[ebx]
|
|
fld qword[ebx+eax*8]
|
|
fld st1
|
|
fadd st0, st1
|
|
fstp _t1
|
|
|
|
; t2 = f[j] - f[j+d2];
|
|
fsubp st1, st0
|
|
fstp _t2
|
|
|
|
; t3 = f[j+d3] + f[j+d4];
|
|
mov edi, _d3
|
|
fld qword[ebx+edi*8]
|
|
mov edx, _d4
|
|
fld qword[ebx+edx*8]
|
|
fld st1
|
|
fsub st0, st1 ; st : t4, f4, f3
|
|
fxch st1 ; st : f4, t4, f3
|
|
|
|
; t4 = f[j+d3] - f[j+d4];
|
|
faddp st2, st0 ; st : t4, t3
|
|
|
|
; f[j+d4] = t2 - t4;
|
|
; f[j+d3] = t2 + t4;
|
|
fld _t2
|
|
fld st0
|
|
fsub st0, st2 ; st : f4, t2, t4, t3
|
|
fstp qword[ebx+edx*8] ; st : t2, t4, t3
|
|
fadd st0, st1 ; st : f3, t4, t3
|
|
fstp qword[ebx+edi*8] ; st : t4, t3
|
|
|
|
; f[j+d2] = t1 - t3;
|
|
; f[j] = t1 + t3;
|
|
fld _t1
|
|
fst st1
|
|
fsub st0, st2 ; st : f2, t1, t3
|
|
fstp qword[ebx+eax*8] ; st : t1, t3
|
|
fadd st0, st1 ; st : f0, t3
|
|
fstp qword[ebx] ; st : t3
|
|
fstp st0
|
|
|
|
; jj = j + d1; / ??
|
|
mov edi, _d1
|
|
shl edi, 3 ; = d1*8
|
|
mov edx, edi
|
|
mov eax, edi
|
|
add eax, eax ; eax = d2*8
|
|
shl edx, 2 ; = d3*8
|
|
add edi, ebx ; now [edi] points to f[jj]
|
|
add edx, edi ; and [edx] points to f[jj+d3]
|
|
|
|
; t1 = f[jj];
|
|
fld qword [edi] ; st : t1
|
|
; t3 = f[jj+d3];
|
|
fld qword [edx] ; st : t3, t1
|
|
|
|
; t2 = f[jj+d2] * r;
|
|
fld qword [edi+eax]
|
|
fld [_r]
|
|
fmul st1, st0 ; st : r, t2, t3, t1
|
|
; t4 = f[jj+d4] * r
|
|
fmul qword [edx+eax] ; st : t4, t2, t3, t1
|
|
|
|
; f[jj] = t1 + t2 + t3;
|
|
fld st3 ; st : t1, t4, t2, t3, t1
|
|
fadd st0, st3
|
|
fadd st0, st2
|
|
fstp qword [edi]
|
|
|
|
; f[jj+d2] = t1 - t3 + t4;
|
|
fld st3
|
|
fsub st0, st3 ; st : (t1-t3), t4, t2, t3, t1
|
|
fld st0
|
|
fadd st0, st2 ; st : f2, (t1-t3), t4, t2, t3, t1
|
|
fstp qword [edi+eax]
|
|
; f[jj+d4] = t1 - t3 - t4;
|
|
fsub st0, st1 ; st : f4, t4, t2, t3, t1
|
|
fstp qword [edx+eax]
|
|
|
|
; f[jj+d3] = t1 - t2 + t3;
|
|
fstp st0 ; st : t2, t3, t1
|
|
fsubp st1, st0 ; st : (t3-t2), t1
|
|
faddp st1, st0 ; st : f3
|
|
fstp qword [edx]
|
|
|
|
; for (k=1; k<d1; k++)
|
|
xor ecx, ecx ; ecx = k
|
|
mov _jj, ecx
|
|
.next_k:
|
|
inc ecx
|
|
cmp ecx, _d1
|
|
jge .done_k
|
|
; {
|
|
mov eax, _d2 ; the sector increment
|
|
; l1 = j + k;
|
|
mov edx, ecx
|
|
mov _l1, edx ; [ebx+edx*8] --> f[j+k]
|
|
; l2 = l1 + d2;
|
|
add edx, eax
|
|
mov _l2, edx
|
|
; l3 = l1 + d3;
|
|
add edx, eax
|
|
mov _l3, edx
|
|
; l4 = l1 + d4;
|
|
add edx, eax
|
|
mov _l4, edx
|
|
|
|
; l5 = j + d2 - k;
|
|
mov edx, eax
|
|
sub edx, ecx
|
|
mov _l5, edx
|
|
; l6 = l5 + d2;
|
|
add edx, eax
|
|
mov _l6, edx
|
|
; l7 = l5 + d3;
|
|
add edx, eax
|
|
mov _l7, edx
|
|
; l8 = l5 + d4;
|
|
add edx, eax
|
|
mov _l8, edx
|
|
|
|
|
|
; 340 : j5 *= k; // add-substituted multiplication
|
|
mov eax, _jj
|
|
add eax, _j5
|
|
mov _jj, eax
|
|
|
|
; c1 = C[jj];
|
|
; s1 = S[jj];
|
|
mov edi, [ebp+20]
|
|
fld qword[edi+eax*8]
|
|
mov esi, [ebp+8]
|
|
shl esi, 2
|
|
add esi, edi
|
|
fld qword[esi+eax*8] ; st : s1, c1
|
|
|
|
; t5 = f[l2] * c1 + f[l6] * s1;
|
|
; t8 = f[l6] * c1 - f[l2] * s1;
|
|
mov edx, _l6
|
|
fld qword[ebx+edx*8]
|
|
mov edx, _l2
|
|
fld st0
|
|
fmul st0, st2
|
|
fxch st1
|
|
fmul st0, st3
|
|
fld qword[ebx+edx*8] ; st : f[l2], f[l6]*c, f[l6]*s, s, c
|
|
fmul st4, st0
|
|
fmulp st3, st0 ; st : f[l6]*c, f[l6]*s, f[l2]*s, f[l2]*c
|
|
fsub st0, st2 ; st : t8, f[l6]*s, f[l2]*s, f[l2]*c
|
|
fstp _t8
|
|
faddp st2, st0 ; st : f[l2]*s, t5
|
|
fstp st0 ; st : t5
|
|
fstp _t5 ; st : <empty>
|
|
|
|
; c2 = C[2*jj];
|
|
; s2 = S[2*jj];
|
|
shl eax, 1
|
|
fld qword[edi+eax*8]
|
|
fld qword[esi+eax*8] ; st : s2, c2
|
|
|
|
; t6 = f[l3] * c2 + f[l7] * s2;
|
|
; t9 = f[l7] * c2 - f[l3] * s2;
|
|
mov edx, _l7
|
|
fld qword[ebx+edx*8]
|
|
mov edx, _l3
|
|
fld st0
|
|
fmul st0, st2
|
|
fxch st1
|
|
fmul st0, st3
|
|
fld qword[ebx+edx*8] ; st : f[l3], f[l7]*c, f[l7]*s, s, c
|
|
fmul st4, st0
|
|
fmulp st3, st0 ; st : f[l7]*c, f[l7]*s, f[l3]*s, f[l3]*c
|
|
fsub st0, st2 ; st : t9, f[l7]*s, f[l3]*s, f[l3]*c
|
|
fstp _t9
|
|
faddp st2, st0 ; st : f[l2]*s, t6
|
|
fstp st0 ; st : t6
|
|
fstp _t6 ; st : <empty>
|
|
|
|
; c3 = C[3*jj];
|
|
; s3 = S[3*jj];
|
|
add eax, _jj
|
|
fld qword[edi+eax*8]
|
|
fld qword[esi+eax*8] ; st : s3, c3
|
|
|
|
; t7 = f[l4] * c3 + f[l8] * s3;
|
|
; t0 = f[l8] * c3 - f[l4] * s3;
|
|
mov edx, _l8
|
|
fld qword[ebx+edx*8]
|
|
mov edx, _l4
|
|
fld st0
|
|
fmul st0, st2
|
|
fxch st1
|
|
fmul st0, st3
|
|
fld qword[ebx+edx*8] ; st : f[l4], f[l8]*c, f[l8]*s, s, c
|
|
fmul st4, st0
|
|
fmulp st3, st0 ; st : f[l8]*c, f[l8]*s, f[l4]*s, f[l4]*c
|
|
fsub st0, st2 ; st : t9, f[l8]*s, f[l4]*s, f[l4]*c
|
|
fstp _t0
|
|
faddp st2, st0 ; st : f[l2]*s, t7
|
|
fstp st0 ; st : t7
|
|
fstp _t7 ; st : <empty>
|
|
|
|
; t1 = f[l5] - t9;
|
|
; t2 = f[l5] + t9;
|
|
mov eax, _l5
|
|
fld qword [ebx+eax*8]
|
|
fld _t9
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp _t2
|
|
fsubp st1, st0
|
|
fstp _t1
|
|
|
|
; t3 = - t8 - t0;
|
|
fld _t8
|
|
fadd _t0
|
|
fchs
|
|
fstp _t3
|
|
; t4 = t5 - t7;
|
|
fld _t5
|
|
fsub _t7
|
|
fstp _t4
|
|
|
|
; f[l5] = t1 + t4;
|
|
fld _t1
|
|
fld _t4
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp qword [ebx+eax*8]
|
|
; f[l7] = t1 - t4;
|
|
mov eax, _l7
|
|
fsubp st1, st0
|
|
fstp qword [ebx+eax*8]
|
|
|
|
; f[l6] = t2 + t3;
|
|
mov eax, _l6
|
|
fld _t2
|
|
fld _t3
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp qword [ebx+eax*8]
|
|
; f[l8] = t2 - t3;
|
|
mov eax, _l8
|
|
fsubp st1, st0
|
|
fstp qword [ebx+eax*8]
|
|
|
|
; t1 = f[l1] + t6;
|
|
mov eax, _l1
|
|
fld qword [ebx+eax*8]
|
|
fld _t6
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp _t1
|
|
; t2 = f[l1] - t6;
|
|
fsubp st1, st0
|
|
fstp _t2
|
|
|
|
; t3 = t8 - t0;
|
|
fld _t8
|
|
fsub _t0
|
|
fstp _t3
|
|
; t4 = t5 + t7;
|
|
fld _t5
|
|
fadd _t7
|
|
fstp _t4
|
|
|
|
; f[l1] = t1 + t4;
|
|
mov eax, _l1
|
|
fld _t1
|
|
fld _t4
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp qword [ebx+eax*8]
|
|
; f[l3] = t1 - t4;
|
|
mov eax, _l3
|
|
fsubp st1, st0
|
|
fstp qword [ebx+eax*8]
|
|
|
|
; f[l2] = t2 + t3;
|
|
mov eax, _l2
|
|
fld _t2
|
|
fld _t3
|
|
fld st0
|
|
fadd st0, st2
|
|
fstp qword [ebx+eax*8]
|
|
; f[l4] = t2 - t3;
|
|
mov eax, _l4
|
|
fsubp st1, st0
|
|
fstp qword [ebx+eax*8]
|
|
|
|
; 374 : }
|
|
jmp .next_k
|
|
|
|
.done_k:
|
|
; 375 : }
|
|
add ebx, _d6 ; d6 = d5*8
|
|
cmp ebx, _end_of_array
|
|
jb .next_j
|
|
|
|
; 376 : }
|
|
mov cx, _step
|
|
jmp .newstep
|
|
.done:
|
|
mov esp, ebp
|
|
pop ebp
|
|
; 377 : }
|
|
ret
|
|
|
|
|
|
;=========== Step3 ends here ===========
|
|
|
|
|
|
; =================================================================
|
|
|
|
;=================================================================
|
|
; parameters:
|
|
; -- [ebp+8] = N
|
|
; -- [ebp+12] = p
|
|
; -- [ebp+16] = 4k-aligned data array address
|
|
; -- [ebp+20] = 4k-aligned SinCosTable address
|
|
; returns:
|
|
; -- nothing
|
|
; destroys:
|
|
; -- all GPRegs
|
|
;; ==========================
|
|
|
|
align 4
|
|
|
|
FHT_4:
|
|
|
|
push ebp
|
|
mov ebp, esp
|
|
mov edx, [ebp+16]
|
|
add edx, [ebp+12]
|
|
call BitInvert
|
|
push dword[ebp+16]
|
|
push dword[ebp+8]
|
|
call step1
|
|
call step2
|
|
pop edx ; N
|
|
pop ecx ; a
|
|
push dword[ebp+20] ; t
|
|
push ecx
|
|
push dword[ebp+12] ; p
|
|
push edx ; N
|
|
call step3
|
|
mov esp, ebp
|
|
pop ebp
|
|
|
|
ret
|