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; Some simple mathematical functions. Don't look for some logic in

; the function names :-)

; ******* Gestion des matrices 4x4 ******

if DEBUG

f_m4m db 'gl_M4_Mul',0

f_m4ml db 'gl_M4_MulLeft',0

end if

align 4

proc gl_M4_Id uses eax ecx edi, a:dword

	mov edi,[a]

	add edi,4

	mov ecx,14

	mov eax,0.0

	rep stosd

	mov eax,1.0

	stosd

	mov edi,[a]

	stosd

	add edi,16

	stosd

	add edi,16

	stosd

	ret

endp

align 4

proc gl_M4_IsId uses ebx ecx, a:dword

	mov eax,[a]

	xor ebx,ebx

	xor ecx,ecx

	.cycle_01:

		fld dword[eax]

		cmp ecx,ebx

		je .once

			ftst ;ñðàâíåíèå ñ 0.0

			fstsw ax

			sahf

			je @f

			jmp .not_1 ;åñëè äèàãîíàëüíûå ÷èñëà íå ðàâíû 0.0 ìàòðèöà íå åäèíè÷íàÿ

		.once:

			fld1

			fcomp st1 ;ñðàâíåíèå ñ 1.0

			fstsw ax

			test ah,0x40

			je .not_1 ;åñëè íå ðàâíî 1.0 ìàòðèöà íå åäèíè÷íàÿ

		@@:

		ffree st0

		fincstp

		add eax,4

		inc ebx

		btr ebx,2

		jnc .cycle_01

	inc ecx

	bt ecx,2 ;ïðîâåðÿåì ðàâåíñòâî ecx==4

	jnc .cycle_01

	mov eax,1

	jmp @f

	.not_1:

		ffree st0

		fincstp

		xor eax,eax

	@@:

	ret

endp

align 4

proc gl_M4_Mul, c:dword,a:dword,b:dword

pushad

	mov edx,[c]

	xor eax,eax

	.cycle_0: ;i

		xor ebx,ebx

		.cycle_1: ;j

			fldz ;sum=0

			xor ecx,ecx

			M4_reg edi,[a],eax,0

			.cycle_2: ;k

				fld dword[edi]

				add edi,4

				M4_reg esi,[b],ecx,ebx

				fmul dword[esi]

				faddp ;sum += a[i][k] * b[k][j]

				inc ecx

				cmp ecx,4

				jl .cycle_2

			fstp dword[edx] ;c[i][j] = sum

			add edx,4

			inc ebx

			cmp ebx,4

			jl .cycle_1

		inc eax

		cmp eax,4

		jl .cycle_0

if DEBUG ;gl_M4_Mul

	stdcall dbg_print,f_m4m,txt_nl

	stdcall gl_print_matrix,[c],4

	stdcall dbg_print,txt_sp,txt_nl

end if

popad

	ret

endp

; c=c*a

align 4

proc gl_M4_MulLeft, c:dword,b:dword

locals

	i dd ?

	a M4

endl

pushad

	mov ecx,16

	mov esi,[c]

	mov edi,ebp

	sub edi,sizeof.M4

	rep movsd ;êîïèðîâàíèå ìàòðèö [a]=[c]

	mov edx,[c]

	mov dword[i],0

	mov eax,ebp

	sub eax,sizeof.M4

	.cycle_0: ;i

		xor ebx,ebx ;j=0

		.cycle_1: ;j

			fldz ;sum=0

			xor ecx,ecx ;k=0

			M4_reg edi,eax,dword[i],0

			.cycle_2: ;k

				fld dword[edi]

				add edi,4

				M4_reg esi,[b],ecx,ebx

				fmul dword[esi]

				faddp ;sum += a[i][k] * b[k][j]

				inc ecx

				cmp ecx,4

				jl .cycle_2

			fstp dword[edx] ;c[i][j] = sum

			add edx,4

			inc ebx

			cmp ebx,4

			jl .cycle_1

		inc dword[i]

		cmp dword[i],4

		jl .cycle_0

if DEBUG ;gl_M4_MulLeft

	stdcall dbg_print,f_m4ml,txt_nl

	stdcall gl_print_matrix,[c],4

	stdcall dbg_print,txt_sp,txt_nl

end if

popad

	ret

endp

align 4

proc gl_M4_Move uses ecx edi esi, a:dword,b:dword

	mov edi,[a]

	mov esi,[b]

	mov ecx,sizeof.M4/4

	rep movsd

	ret

endp

align 4

proc gl_MoveV3 uses edi esi, a:dword,b:dword

	mov edi,[a]

	mov esi,[b]

	movsd

	movsd

	movsd

	ret

endp

;void gl_MulM4V3(V3 *a,M4 *b,V3 *c)

;{

;        a->X=b->m[0][0]*c->X+b->m[0][1]*c->Y+b->m[0][2]*c->Z+b->m[0][3];

;        a->Y=b->m[1][0]*c->X+b->m[1][1]*c->Y+b->m[1][2]*c->Z+b->m[1][3];

;        a->Z=b->m[2][0]*c->X+b->m[2][1]*c->Y+b->m[2][2]*c->Z+b->m[2][3];

;}

;void gl_MulM3V3(V3 *a,M4 *b,V3 *c)

;{

;        a->X=b->m[0][0]*c->X+b->m[0][1]*c->Y+b->m[0][2]*c->Z;

;        a->Y=b->m[1][0]*c->X+b->m[1][1]*c->Y+b->m[1][2]*c->Z;

;        a->Z=b->m[2][0]*c->X+b->m[2][1]*c->Y+b->m[2][2]*c->Z;

;}

align 4

proc gl_M4_MulV4 uses ebx ecx edx, a:dword, b:dword, c:dword ;V4 *a, M4 *b, V4 *c

	mov ebx,[b]

	mov edx,[c]

	fld dword[edx]

	fld dword[edx+4]

	fld dword[edx+8]

	fld dword[edx+12]

	mov edx,[a]

	mov ecx,4

	.cycle_1:

		fld dword[ebx]    ;st0 = m[_][0]

		fmul st0,st4      ;st0 *= c.X

		fld dword[ebx+4]  ;st0 = m[_][1]

		fmul st0,st4      ;st0 *= c.Y

		faddp

		fld dword[ebx+8]  ;st0 = m[_][2]

		fmul st0,st3      ;st0 *= c.Z

		faddp

		fld dword[ebx+12] ;st0 += m[_][3]

		fmul st0,st2      ;st0 *= c.W

		faddp

		fstp dword[edx]   ;a.X = b.m[_][0]*c.X +b.m[_][1]*c.Y +b.m[_][2]*c.Z +b.m[_][3]*c.W

		add ebx,16 ;ñëåäóùàÿ ñòðîêà ìàòðèöû

		add edx,4  ;ñëåäóùàÿ êîîðäèíàòà âåêòîðà

	loop .cycle_1

	ffree st0

	fincstp

	ffree st0

	fincstp

	ffree st0

	fincstp

	ffree st0

	fincstp

	ret

endp

; transposition of a 4x4 matrix

align 4

proc gl_M4_Transpose uses eax ecx edx, a:dword, b:dword

	mov eax,[a]

	mov ecx,[b]

	mov edx,[ecx]

	mov [eax],edx

	mov edx,[ecx+0x10]

	mov [eax+0x4],edx

	mov edx,[ecx+0x20]

	mov [eax+0x8],edx

	mov edx,[ecx+0x30]

	mov [eax+0x0c],edx

	mov edx,[ecx+0x4]

	mov [eax+0x10],edx

	mov edx,[ecx+0x14]

	mov [eax+0x14],edx

	mov edx,[ecx+0x24]

	mov [eax+0x18],edx

	mov edx,[ecx+0x34]

	mov [eax+0x1c],edx

	mov edx,[ecx+0x8]

	mov [eax+0x20],edx

	mov edx,[ecx+0x18]

	mov [eax+0x24],edx

	mov edx,[ecx+0x28]

	mov [eax+0x28],edx

	mov edx,[ecx+0x38]

	mov [eax+0x2c],edx

	mov edx,[ecx+0x0c]

	mov [eax+0x30],edx

	mov edx,[ecx+0x1c]

	mov [eax+0x34],edx

	mov edx,[ecx+0x2c]

	mov [eax+0x38],edx

	mov edx,[ecx+0x3c]

	mov [eax+0x3c],edx

	ret

endp

; inversion of an orthogonal matrix of type Y=M.X+P

;void gl_M4_InvOrtho(M4 *a,M4 b)

;{

;       int i,j;

;       float s;

;       for(i=0;i<3;i++)

;       for(j=0;j<3;j++) a->m[i][j]=b.m[j][i];

;       a->m[3][0]=0.0; a->m[3][1]=0.0; a->m[3][2]=0.0; a->m[3][3]=1.0;

;       for(i=0;i<3;i++) {

;               s=0;

;               for(j=0;j<3;j++) s-=b.m[j][i]*b.m[j][3];

;               a->m[i][3]=s;

;       }

;}

; Inversion of a general nxn matrix.

; Note : m is destroyed

align 4

proc Matrix_Inv uses ebx ecx edx edi esi, r:dword, m:dword, n:dword ;(float *r,float *m,int n)

locals

	max dd ? ;float

	tmp dd ?

endl

	; identitée dans r

	mov eax,0.0

	mov ecx,[n]

	imul ecx,ecx

	mov edi,[r]

	rep stosd ;for(i=0;i

	mov eax,1.0

	xor ebx,ebx

	mov edi,[r]

	mov ecx,[n]

	shl ecx,2

	@@: ;for(i=0;i

		cmp ebx,[n]

		jge .end_0

		stosd ;r[i*n+i]=1

		add edi,ecx

		inc ebx

		jmp @b

	.end_0:

	; ebx -> n

	; ecx -> j

	; edx -> k

	; edi -> i

	; esi -> l

	mov ebx,[n]

	xor ecx,ecx

	.cycle_0: ;for(j=0;j

	cmp ecx,ebx

	jge .cycle_0_end

		; recherche du nombre de plus grand module sur la colonne j

		mov eax,ecx

		imul eax,ebx

		add eax,ecx

		shl eax,2

		add eax,[m]

		mov eax,[eax]

		mov [max],eax ;max=m[j*n+j]

		mov edx,ecx ;k=j

		mov edi,ecx

		inc edi

		.cycle_1: ;for(i=j+1;i

		cmp edi,ebx

		jge .cycle_1_end

			mov eax,edi

			imul eax,ebx

			add eax,ecx

			shl eax,2

			add eax,[m]

			fld dword[eax]

			fld st0

			fabs

			fld dword[max]

			fabs

			fcompp ;if (fabs(m[i*n+j])>fabs(max))

			fstsw ax

			sahf

			jae @f

				mov edx,edi ;k=i

				fst dword[max]

			@@:

			ffree st0 ;m[i*n+j]

			fincstp

		inc edi

		jmp .cycle_1

		.cycle_1_end:

		; non intersible matrix

		fld dword[max]

		ftst ;if (max==0)

		fstsw ax

		ffree st0

		fincstp

		sahf

		jne @f

			xor eax,eax

			inc eax

			jmp .end_f ;return 1

		@@:

		; permutation des lignes j et k

		cmp ecx,edx ;if (j!=k)

		je .cycle_2_end

			xor edi,edi

			.cycle_2: ;for(i=0;i

			cmp edi,ebx

			jge .cycle_2_end

				;òóò ïîêà esi != l

				mov eax,ecx

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[m]

				mov esi,[eax]

				mov [tmp],esi ;tmp=m[j*n+i]

				mov esi,edx

				imul esi,ebx

				add esi,edi

				shl esi,2

				add esi,[m]

				m2m dword[eax],dword[esi] ;m[j*n+i]=m[k*n+i]

				mov eax,[tmp]

				mov [esi],eax ;m[k*n+i]=tmp

				mov eax,ecx

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[r]

				mov esi,[eax]

				mov [tmp],esi ;tmp=r[j*n+i]

				mov esi,edx

				imul esi,ebx

				add esi,edi

				shl esi,2

				add esi,[r]

				m2m dword[eax],dword[esi] ;r[j*n+i]=r[k*n+i]

				mov eax,[tmp]

				mov [esi],eax ;r[k*n+i]=tmp

			inc edi

			jmp .cycle_2

		.cycle_2_end:

		; multiplication de la ligne j par 1/max

		fld1

		fdiv dword[max]

		fst dword[max] ;max=1/max

		xor edi,edi

		mov eax,ecx

		imul eax,ebx

		shl eax,2

		.cycle_3: ;for(i=0;i

		cmp edi,ebx

		jge .cycle_3_end

			add eax,[m]

			fld dword[eax]

			fmul st0,st1

			fstp dword[eax] ;m[j*n+i]*=max

			sub eax,[m]

			add eax,[r]

			fld dword[eax]

			fmul st0,st1

			fstp dword[eax] ;r[j*n+i]*=max

			sub eax,[r]

			add eax,4

		inc edi

		jmp .cycle_3

		.cycle_3_end:

		ffree st0 ;max

		fincstp

		xor esi,esi

		.cycle_4: ;for(l=0;l

		cmp esi,ebx

		jge .cycle_4_end

			cmp esi,ecx ;if (l!=j)

			je .if_end

			mov eax,esi

			imul eax,ebx

			add eax,ecx

			shl eax,2

			add eax,[m]

			fld dword[eax] ;t=m[l*n+j]

			xor edi,edi

			.cycle_5: ;for(i=0;i

			cmp edi,ebx

			jge .cycle_5_end

				mov eax,ecx

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[m]

				fld dword[eax]

				fmul st0,st1

				mov eax,esi

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[m]

				fsub dword[eax]

				fchs

				fstp dword[eax] ;m[l*n+i]-=m[j*n+i]*t

				mov eax,ecx

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[r]

				fld dword[eax]

				fmul st0,st1

				mov eax,esi

				imul eax,ebx

				add eax,edi

				shl eax,2

				add eax,[r]

				fsub dword[eax]

				fchs

				fstp dword[eax] ;r[l*n+i]-=r[j*n+i]*t

			inc edi

			jmp .cycle_5

			.cycle_5_end:

			ffree st0 ;t

			fincstp

			.if_end:

		inc esi

		jmp .cycle_4

		.cycle_4_end:

	inc ecx

	jmp .cycle_0

	.cycle_0_end:

	xor eax,eax ;return 0

	.end_f:

	ret

endp

; inversion of a 4x4 matrix

align 4

proc gl_M4_Inv uses eax ecx edi esi, a:dword, b:dword

locals

	tmp M4

endl

	mov esi,[b]

	mov edi,ebp

	sub edi,sizeof.M4 ;edi = &tmp

	mov ecx,16

	rep movsd

	sub edi,sizeof.M4 ;edi = &tmp

	stdcall Matrix_Inv,[a],edi,4 ;ïîðòèò eax ïîòîìó â uses åñòü eax

	ret

endp

align 4

proc gl_M4_Rotate uses eax ecx, a:dword,t:dword,u:dword

locals

	s dd ? ;float

	c dd ? ;float

	v dd ? ;int

	w dd ? ;int

endl

	mov eax,[u]

	inc eax

	cmp eax,2

	jle @f

		xor eax,eax

	@@:

	mov [v],eax

	inc eax

	cmp eax,2

	jle @f

		xor eax,eax

	@@:

	mov [w],eax

	fld dword [t]

	fsin

	fstp dword [s]

	fld dword [t]

	fcos

	fstp dword [c]

	stdcall gl_M4_Id,[a]

	M4_reg ecx,[a],[v],[v]

	mov eax,[c]

	mov [ecx],eax

	M4_reg ecx,[a],[v],[w]

	fld dword [s]

	fchs

	fstp dword [ecx]

	M4_reg ecx,[a],[w],[v]

	mov eax,[s]

	mov [ecx],eax

	M4_reg ecx,[a],[w],[w]

	mov eax,[c]

	mov [ecx],eax

	ret

endp

; inverse of a 3x3 matrix

;void gl_M3_Inv(M3 *a,M3 *m)

;{

;        float det;

;        det = m->m[0][0]*m->m[1][1]*m->m[2][2]-m->m[0][0]*m->m[1][2]*m->m[2][1]-

;                m->m[1][0]*m->m[0][1]*m->m[2][2]+m->m[1][0]*m->m[0][2]*m->m[2][1]+

;                m->m[2][0]*m->m[0][1]*m->m[1][2]-m->m[2][0]*m->m[0][2]*m->m[1][1];

;        a->m[0][0] = (m->m[1][1]*m->m[2][2]-m->m[1][2]*m->m[2][1])/det;

;        a->m[0][1] = -(m->m[0][1]*m->m[2][2]-m->m[0][2]*m->m[2][1])/det;

;        a->m[0][2] = -(-m->m[0][1]*m->m[1][2]+m->m[0][2]*m->m[1][1])/det;

;        a->m[1][0] = -(m->m[1][0]*m->m[2][2]-m->m[1][2]*m->m[2][0])/det;

;        a->m[1][1] = (m->m[0][0]*m->m[2][2]-m->m[0][2]*m->m[2][0])/det;

;        a->m[1][2] = -(m->m[0][0]*m->m[1][2]-m->m[0][2]*m->m[1][0])/det;

;        a->m[2][0] = (m->m[1][0]*m->m[2][1]-m->m[1][1]*m->m[2][0])/det;

;        a->m[2][1] = -(m->m[0][0]*m->m[2][1]-m->m[0][1]*m->m[2][0])/det;

;        a->m[2][2] = (m->m[0][0]*m->m[1][1]-m->m[0][1]*m->m[1][0])/det;

;}

; vector arithmetic

align 4

proc gl_V3_Norm uses ebx, a:dword

	mov ebx,[a]

	fld dword[ebx]

	fmul st0,st0

	fld dword[ebx+offs_Y]

	fmul st0,st0

	faddp

	fld dword[ebx+offs_Z]

	fmul st0,st0

	faddp

	fsqrt ;st0 = sqrt(a.X^2 +a.Y^2 +a.Z^2)

	ftst

	fstsw ax

	sahf

	je .r1 ;if (sqrt(...)==0) return 1

		fld dword[ebx] ;offs_X = 0

		fdiv st0,st1

		fstp dword[ebx] ;a.X/=sqrt(...)

		fld dword[ebx+offs_Y]

		fdiv st0,st1

		fstp dword[ebx+offs_Y] ;a.Y/=sqrt(...)

		fld dword[ebx+offs_Z]

		fdiv st0,st1

		fstp dword[ebx+offs_Z] ;a.Z/=sqrt(...)

		xor eax,eax

		jmp @f

	.r1:

		xor eax,eax

		inc eax

	@@:

	ffree st0

	fincstp

	ret

endp

macro gl_V3_New p_mem, x, y, z

{

	mov dword[p_mem],x

	mov dword[p_mem+4],y

	mov dword[p_mem+8],z

}

macro gl_V4_New p_mem, x, y, z, w

{

	mov dword[p_mem],x

	mov dword[p_mem+4],y

	mov dword[p_mem+8],z

	mov dword[p_mem+12],w

}