kolibrios/programs/develop/libraries/TinyGL/asm_fork/zmath.asm

; Some simple mathematical functions. Don't look for some logic in
; the function names :-)

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

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 ;<3B><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20> 0.0
			fstsw ax
			sahf
			je @f
			jmp .not_1 ;<3B><><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD> 0.0 <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
		.once:
			fld1
			fcomp st1 ;<3B><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20> 1.0
			fstsw ax
			test ah,0x40
			je .not_1 ;<3B><><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD> 1.0 <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
		@@:
		add eax,4
		inc ebx
		btr ebx,2
		jnc .cycle_01
	inc ecx
	bt ecx,2 ;<3B><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> ecx==4
	jnc .cycle_01

	mov eax,1
	jmp @f
	.not_1:
		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
			finit
			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]
				fadd st0,st1 ;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
	finit
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 ;<3B><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> [a]=[c]

	mov edx,[c]
	mov dword[i],0
	.cycle_0: ;i
		xor ebx,ebx
		.cycle_1: ;j
			finit
			fldz ;sum=0
			xor ecx,ecx
			mov eax,ebp
			sub eax,sizeof.M4
			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]
				fadd st0,st1 ;sum += a[i][k] * b[k][j]
				inc ecx
				add eax,4
				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
	finit
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;
;}

;void gl_M4_MulV4(V4 *a,M4 *b,V4 *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]*c->W;
;        a->Y=b->m[1][0]*c->X+b->m[1][1]*c->Y+b->m[1][2]*c->Z+b->m[1][3]*c->W;
;        a->Z=b->m[2][0]*c->X+b->m[2][1]*c->Y+b->m[2][2]*c->Z+b->m[2][3]*c->W;
;        a->W=b->m[3][0]*c->X+b->m[3][1]*c->Y+b->m[3][2]*c->Z+b->m[3][3]*c->W;
;}

; 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 ecx, r:dword, m:dword, n:dword ;(float *r,float *m,int n)
;        int i,j,k,l;
;        float max,tmp,t;

;        /* identit<69>e dans r */
;        for(i=0;i<n*n;i++) r[i]=0;
;        for(i=0;i<n;i++) r[i*n+i]=1;
	 
;        for(j=0;j<n;j++) {
			
;                       /* recherche du nombre de plus grand module sur la colonne j */
;                       max=m[j*n+j];
;                       k=j;
;                       for(i=j+1;i<n;i++)
;                               if (fabs(m[i*n+j])>fabs(max)) {
;                                        k=i;
;                                        max=m[i*n+j];
;                               }

;      /* non intersible matrix */
;      if (max==0) return 1;

;                       /* permutation des lignes j et k */
;                       if (k!=j) {
;                                for(i=0;i<n;i++) {
;                                               tmp=m[j*n+i];
;                                               m[j*n+i]=m[k*n+i];
;                                               m[k*n+i]=tmp;
;                                               
;                                               tmp=r[j*n+i];
;                                               r[j*n+i]=r[k*n+i];
;                                               r[k*n+i]=tmp;
;                                }
;                       }

;                       /* multiplication de la ligne j par 1/max */
;                       max=1/max;
;                       for(i=0;i<n;i++) {
;                                m[j*n+i]*=max;
;                                r[j*n+i]*=max;
;                       }

;                       for(l=0;l<n;l++) if (l!=j) {
;                                t=m[l*n+j];
;                                for(i=0;i<n;i++) {
;                                               m[l*n+i]-=m[j*n+i]*t;
;                                               r[l*n+i]-=r[j*n+i]*t;
;                                }
;                       }
;        }

;        return 0;
	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 ;<3B><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> eax <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD> <20> uses <20><><EFBFBD><EFBFBD> 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
	mov dword [v],eax
	cmp dword [v],2
	jle @f
		mov dword [v],0
	@@:
	mov eax,[v]
	inc eax
	mov dword [w],eax
	cmp dword [w],2
	jle @f
		mov dword [w],0
	@@:
	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

;int gl_V3_Norm(V3 *a)
;{
;       float n;
;       n=sqrt(a->X*a->X+a->Y*a->Y+a->Z*a->Z);
;       if (n==0) return 1;
;       a->X/=n;
;       a->Y/=n;
;       a->Z/=n;
;       return 0;
;}

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
}