881 lines
17 KiB
NASM
881 lines
17 KiB
NASM
; Fast Hartley Transform routine
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; Copyright (C) 1999, 2004, 2010
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; Artem Jerdev artem@jerdev.co.uk
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;
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; free KolibriOS version - not to be ported to other OSes
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; ==========================================================
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; global constants
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align 8
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_r dq 1.41421356237309504880169 ; = sqrt(2)
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_r2 dq 0.70710678118654752440084 ; = sqrt(2)/2
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_c1 dq 0.92387953251128675612818 ; = cos(pi/8)
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_s1 dq 0.38268343236508977172846 ; = sin(pi/8)
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;=================================================================
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; parameter1:
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; -- reg dl (bits[3:0]) = Power_of_4
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; returns:
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; -- reg edx = _CosTable address (4k-aligned)
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; assumes: _SinTable = _CosTable + (N/2)*8
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; user heap has to be initialized
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; destroys:
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; -- eax, ebx, ecx
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;; ==========================
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align 4
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CreateSinCosTable:
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xor eax, eax
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inc eax
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mov cl, dl
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and cl, 15
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shl eax, cl
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shl eax, cl
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mov ecx, eax ; now ecx = N
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shl ecx, 3
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mov ebx, 12
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mov eax, 68
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int 0x40 ; getmem(N*sizeof(double))
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mov edx, eax ; edx = _CosTable
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shr ecx, 1
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mov ebx, eax
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add ebx, ecx ; ebx = _SinTable
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shr ecx, 3
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push ecx ; [esp] = ecx = N/2
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xor eax, eax
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fldpi
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fidiv dword[esp] ; st : dx = 2*pi/N
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pop ecx
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fldz ; st : 0, dx
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.loop:
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fld st0 ; st : x, x, dx
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FSINCOS ; st : cos, sin, x, dx
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fstp qword [edx+eax*8] ; st : sin, x, dx
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fstp qword [ebx+eax*8] ; st : x, dx
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fadd st0, st1 ; st : x+dx, dx
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inc eax
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cmp eax, ecx
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jne .loop
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fstp st0 ; st : dx
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fstp st0 ; st : <empty>
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ret
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;=================================================================
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; parameter1:
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; -- reg edx = _CosTable address
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; destroys:
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; -- eax, ebx, ecx
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;; ==========================
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align 4
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DestroySinCosTable:
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mov ecx, edx
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mov ebx, 13
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mov eax, 68
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int 0x40 ; free(SinCosTable)
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ret
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;=================================================================
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; parameter1:
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; -- reg dl (bits[3:0]) = Power_of_4
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; -- reg edx && (-16) = 4k-aligned data array address
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; returns:
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; -- edx = Power_of_4
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; -- ecx = N
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; destroys:
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; -- eax, ebx, ecx, edx, esi
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;; ==========================
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align 4
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BitInvert:
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mov esi, edx
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and esi, 0xFFFFFFF0
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and edx, 0x0F
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push edx
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mov cl, dl
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xor eax, eax
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inc eax
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shl eax, cl
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shl eax, cl
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push eax
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xor ecx, ecx ; index term
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.newterm:
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inc ecx
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cmp ecx, [esp] ; N
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jge .done
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xor eax, eax
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mov edx, ecx
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xor bl, bl
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.do_invert:
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inc bl
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cmp bl, byte[esp+4] ; Power_of_4
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jg .switch
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mov bh, dl
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and bh, 3
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shl eax, 2
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or al, bh
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shr edx, 2
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jmp .do_invert
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.switch:
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cmp eax, ecx
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jle .newterm
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fld qword [esi+eax*8]
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fld qword [esi+ecx*8]
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fstp qword [esi+eax*8]
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fstp qword [esi+ecx*8]
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jmp .newterm
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.done:
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pop ecx
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pop edx
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ret
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;=================================================================
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;=================================================================
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; stdcall parameters:
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; -- [esp+4] = N
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; -- [esp+8] = 4k-aligned data array address
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; returns:
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; -- nothing
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; destroys:
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; -- ebx, esi
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;; ==========================
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align 4
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step1:
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mov ebx, [esp+8]
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mov esi, [esp+4]
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shl esi, 3
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add esi, ebx
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.loop:
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fld qword[ebx]
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fld qword[ebx+8]
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fld st1
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fsub st0, st1 ; st : t2, f[i+1], f[i]
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fxch st1 ; st : f[i+1], t2, f[i]
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faddp st2, st0 ; st : t2, t1
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fld qword[ebx+16]
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fld qword[ebx+24]
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fld st1 ; st : f[i+2], f[i+3], f[i+2], t2, t1
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fadd st0, st1 ; st : t3, f[i+3], f[i+2], t2, t1
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fxch st2 ; st : f[i+2], f[i+3], t3, t2, t1
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fsub st0, st1 ; st : t4, f[i+3], t3, t2, t1
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fstp st1 ; st : t4, t3, t2, t1
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fld st2 ; st : t2, t4, t3, t2, t1
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fadd st0, st1 ; st : t2+t4, t4, t3, t2, t1
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fstp qword[ebx+16] ; st : t4, t3, t2, t1
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fsubp st2, st0 ; st : t3, t2-t4, t1
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fld st2 ; st : t1, t3, t2-t4, t1
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fadd st0, st1 ; st : t1+t3, t3, t2-t4, t1
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fstp qword[ebx] ; st : t3, t2-t4, t1
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fsubp st2, st0 ; st : t2-t4, t1-t3
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fstp qword[ebx+24] ; st : t1-t3
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fstp qword[ebx+8] ; st : <empty>
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add ebx, 32
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cmp ebx, esi
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jnz .loop
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ret
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;=================================================================
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; SSE3 version: Step1
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;
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;==========================
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align 4
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step1_sse:
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mov ebx, [esp+8]
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mov esi, [esp+4]
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shl esi, 3
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add esi, ebx
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.loop:
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movddup xmm0, [ebx] ; xmm0: f0 ; f0
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movddup xmm1, [ebx+8] ; xmm1: f1 ; f1
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addsubpd xmm0, xmm1 ; xmm0: t1 ; t2 ( + - )
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movddup xmm1, [ebx+16] ; xmm1: f2 ; f2
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movddup xmm2, [ebx+24] ; xmm2: f3 ; f3
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addsubpd xmm1, xmm2 ; xmm1: t3 ; t4 ( + - )
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movddup xmm2, xmm0 ; xmm2: t2 ; t2
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movddup xmm3, xmm1 ; xmm3: t4 ; t4
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addsubpd xmm2, xmm3 ; xmm2: 2+4; 2-4
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shufpd xmm2, xmm2, 1 ; xmm2: 2-4; 2+4
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movapd [ebx+16], xmm2
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shufpd xmm0, xmm0, 1 ; xmm0: t2 ; t1
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shufpd xmm1, xmm1, 1 ; xmm1: t4 ; t3
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movddup xmm2, xmm0 ; xmm2: t1 ; t1
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movddup xmm3, xmm1 ; xmm3: t3 ; t3
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addsubpd xmm2, xmm3 ; xmm2: 1+3; 1-3
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shufpd xmm2, xmm2, 1 ; xmm2: 1-3; 1+3
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movapd [ebx], xmm2
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add ebx, 32
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cmp ebx, esi
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jnz .loop
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ret
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; local stack definitions
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;===========================================================================
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_t0 equ dword [esp]
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_t1 equ dword[esp+4]
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_t2 equ dword[esp+8]
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_t3 equ dword[esp+12]
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_t4 equ dword[esp+16]
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_t5 equ dword[esp+20]
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_t6 equ dword[esp+24]
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_t7 equ dword[esp+28]
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_t8 equ dword[esp+32]
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_t9 equ dword[esp+36]
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_l1 equ dword[esp+40]
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_l2 equ dword[esp+44]
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_l3 equ dword[esp+48]
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_l4 equ dword[esp+52]
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_l5 equ dword[esp+56]
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_l6 equ dword[esp+60]
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_l7 equ dword[esp+64]
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_l8 equ dword[esp+68]
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_l9 equ dword[esp+72]
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_l0 equ dword[esp+76]
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_d1 equ dword[esp+80]
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_d2 equ dword[esp+84]
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_d3 equ dword[esp+88]
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_d4 equ dword[esp+92]
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_d5 equ dword[esp+96]
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_d6 equ dword[esp+100]
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_j5 equ dword[esp+104]
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_jj equ dword[esp+108]
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_end_of_array equ dword[esp+112]
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_step equ word [esp+116]
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;=================================================================
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; cdecl parameters:
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; -- [ebp+8] = N
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; -- [ebp+12] = 4k-aligned data array address
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; returns:
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; -- nothing
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; destroys:
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; -- eax, ebx
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; locals:
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; -- 10 stack-located dwords (_t0 ... _t9)
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;; ==========================
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align 4
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step2:
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push ebp
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mov ebp, esp
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sub esp, 40
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mov ebx, [ebp+12]
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mov eax, [ebp+ 8]
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shl eax, 3
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add eax, ebx
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.loop_i:
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; -- quad subelements +0, +4, +8 and +12 (simpliest operations)
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fld qword[ebx]
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fld qword[ebx+8*4]
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fld st0
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fadd st0, st2 ; st : t1, f_4, f_0
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fxch st1
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fsubp st2, st0 ; st : t1, t2
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fld qword[ebx+8*8]
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fld qword[ebx+8*12]
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fld st0
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fadd st0, st2 ; st : t3, f_12, t1, t2
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fxch st1
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fsubp st2, st0 ; st : t3, t4, t1, t2
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; ------
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fld st2 ; st : t1, t3, t4, t1, t2
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fadd st0, st1
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fstp qword[ebx] ; st : t3, t4, t1, t2
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fsub st0, st2 ; st : t3-t1, t4, t1, t2
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fchs ; st : t1-t3, t4, t1, t2
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fstp qword[ebx+8*4] ; st : t4, t1, t2
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fst st1 ; st : t4, t4, t2
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fadd st0, st2 ; st : t2+t4, t4, t2
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fstp qword[ebx+8*8] ; st : t4, t2
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fsubp st1, st0 ; st : t2-t4
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fstp qword[ebx+8*12] ; st : <empty>
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; -- even subelements +2, +6, +10 and +14 (2 multiplications needed)
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fld qword[ebx+8*2]
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fld qword[ebx+8*6]
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fld [_r]
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fmul st1, st0 ; st : r, t2, t1
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fld qword[ebx+8*10]
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fxch st1 ; st : r, t3, t2, t1
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fmul qword[ebx+8*14] ; st : t4, t3, t2, t1
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; ------
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fld st3 ; st : t1, t4, t3, t2, t1
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fadd st0, st3 ;
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fadd st0, st2 ;
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fst qword[ebx+8*2] ; store f[i+8] = t1+t2+t3
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fsub st0, st3 ;
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fsub st0, st3 ;
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fstp qword[ebx+8*10] ; store f[i+10]= t1-t2+t3
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fld st3 ; st : t1, t4, t3, t2, t1
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fsub st0, st2 ;
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fsub st0, st1 ;
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fst qword[ebx+8*14] ; store f[i+14]= t1-t3-t4
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fadd st0, st1 ;
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faddp st1, st0 ; st : t1-t3+t4, t3, t2, t1
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fstp qword[ebx+8*6] ; store f[i+6]
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fstp st0 ; st : t2, t1
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fstp st0 ; st : t1
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fstp st0 ; st : <empty>
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; -- odd subelements
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fld qword[ebx+8*9]
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fld qword[ebx+8*11]
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fld st1
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fsub st0, st1
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fxch st1
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faddp st2, st0 ; st : (f[l3]-f[l7]), (f[l3]+f[l7])
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fld [_r2]
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fmul st2, st0
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fmulp st1, st0 ; st : t9, t6
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fld qword[ebx+8*3]
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fld st0
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fadd st0, st2 ; st : t1, f[l5], t9, t6
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fstp _t1
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fsub st0, st1
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fstp _t2
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fstp _t9 ; (t9 never used)
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fstp _t6 ; st : <empty>
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fld [_c1]
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fld [_s1]
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fld qword[ebx+8*5]
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fld qword[ebx+8*7]
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fld st3 ; st: c1, f[l6], f[l2], s1, c1
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fmul st0, st2 ; st: f_2*c, f_6, f_2, s, c
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fld st1 ; st: f_6, f_2*c, f_6, f_2, s, c
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fmul st0, st4 ; st: f_6*s, f_2*c, f_6, f_2, s, c
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faddp st1, st0 ; st: t5, f_6, f_2, s, c
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fstp _t5 ; st: f_6, f_2, s, c
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fld st3 ; st: c, f_6, f_2, s, c
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fmul st0, st1
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fld st3
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fmul st0, st3 ; st: f_2*s, f_6*c, f_6, f_2, s, c
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fsubp st1, st0 ; st: t8, f_6, f_2, s, c
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fstp _t8 ; st: f_6, f_2, s, c
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fstp st0 ; st: f_2, s, c
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fstp st0 ; st: s, c
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fld qword[ebx+8*13]
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fld qword[ebx+8*15]
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fld st3 ; st: c1, f[l8], f[l4], s1, c1
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fmul st0, st1
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fld st3
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fmul st0, st3 ; st: f_4*s, f_8*c, f_8, f_4, s, c
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faddp st1, st0 ; st: t7, f_8, f_4, s, c
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fld _t5 ; st: t5, t7, f_8, f_4, s, c
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fsub st0, st1 ; st: t4, t7, f_8, f_4, s, c
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fstp _t4
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fstp _t7 ; st: f_8, f_4, s, c
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fld st3 ; st: c, f_8, f_4, s, c
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fmul st0, st2
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fld st3
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fmul st0, st2 ; st: f_8*s, f_4*c, f_8, f_4, s, c
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fsubp st1, st0 ; st:-t0, f_8, f_4, s, c
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fchs
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fld _t8
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fchs ; st:-t8, t0, f_8, f_4, s, c
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fsub st0, st1 ; st: t3, t0, f_8, f_4, s, c
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fstp _t3
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fstp _t0 ; st: f_8, f_4, s, c
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fstp st0 ; st: f_4, s, c
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fstp st0 ; st: s, c
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fstp st0 ; st: c
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fstp st0 ; st: <empty>
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fld _t1
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fld _t4
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fld st1
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fsub st0, st1
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fstp qword[ebx+8*11] ; f[l7] = t1-t4
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faddp st1, st0
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fstp qword[ebx+8*3] ; f[l5] = t1+t4
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fld _t2
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fld _t3
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fld st1
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fsub st0, st1
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fstp qword[ebx+8*15] ; f[l8]
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faddp st1, st0
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fstp qword[ebx+8*7] ; f[l6]
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fld _t6
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fld qword[ebx+8]
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fld st1
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fsub st0, st1
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fxch st1
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faddp st2, st0 ; st : t2, t1
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fld _t8
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fsub _t0
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fld _t5
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fadd _t7 ; st : t4, t3, t2, t1
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fld st3
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fsub st0, st1
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fstp qword[ebx+8*9] ; f[l3] = t1-t4
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fadd st0, st3
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fstp qword[ebx+8] ; f[l1] = t1+t4
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fld st1 ; st : t2, t3, t2, t1
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fsub st0, st1 ; f[l4] = t2-t3
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fstp qword[ebx+8*13] ; st : t3, t2, t1
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faddp st1, st0 ; st : t2+t3, t1
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fstp qword[ebx+8*5] ; f[l2] = t2+t3
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fstp st0 ; st : <empty>
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add ebx, 16*8
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cmp ebx, eax
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jb .loop_i
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mov esp, ebp
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pop ebp
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ret
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;=================================================================
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; cdecl parameters:
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; -- [ebp+8] = N
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; -- [ebp+12] = p
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; -- [ebp+16] = 4k-aligned data array address
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; -- [ebp+20] = 4k-aligned SinCosTable address
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; returns:
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|
; -- 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
|