math.c File Reference

#include "d3drm_private.h"

Include dependency graph for math.c:

Go to the source code of this file.

Functions
D3DCOLOR WINAPI	D3DRMCreateColorRGB (D3DVALUE red, D3DVALUE green, D3DVALUE blue)
D3DCOLOR WINAPI	D3DRMCreateColorRGBA (D3DVALUE red, D3DVALUE green, D3DVALUE blue, D3DVALUE alpha)
D3DVALUE WINAPI	D3DRMColorGetAlpha (D3DCOLOR color)
D3DVALUE WINAPI	D3DRMColorGetBlue (D3DCOLOR color)
D3DVALUE WINAPI	D3DRMColorGetGreen (D3DCOLOR color)
D3DVALUE WINAPI	D3DRMColorGetRed (D3DCOLOR color)
D3DRMQUATERNION *WINAPI	D3DRMQuaternionMultiply (D3DRMQUATERNION *q, D3DRMQUATERNION *a, D3DRMQUATERNION *b)
void WINAPI	D3DRMMatrixFromQuaternion (D3DRMMATRIX4D m, D3DRMQUATERNION *q)
D3DRMQUATERNION *WINAPI	D3DRMQuaternionFromRotation (D3DRMQUATERNION *q, D3DVECTOR *v, D3DVALUE theta)
D3DRMQUATERNION *WINAPI	D3DRMQuaternionSlerp (D3DRMQUATERNION *q, D3DRMQUATERNION *a, D3DRMQUATERNION *b, D3DVALUE alpha)
D3DVECTOR *WINAPI	D3DRMVectorAdd (D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
D3DVECTOR *WINAPI	D3DRMVectorSubtract (D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
D3DVECTOR *WINAPI	D3DRMVectorCrossProduct (D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
D3DVALUE WINAPI	D3DRMVectorDotProduct (D3DVECTOR *s1, D3DVECTOR *s2)
D3DVALUE WINAPI	D3DRMVectorModulus (D3DVECTOR *v)
D3DVECTOR *WINAPI	D3DRMVectorNormalize (D3DVECTOR *u)
D3DVECTOR *WINAPI	D3DRMVectorRandom (D3DVECTOR *d)
D3DVECTOR *WINAPI	D3DRMVectorReflect (D3DVECTOR *r, D3DVECTOR *ray, D3DVECTOR *norm)
D3DVECTOR *WINAPI	D3DRMVectorRotate (D3DVECTOR *r, D3DVECTOR *v, D3DVECTOR *axis, D3DVALUE theta)
D3DVECTOR *WINAPI	D3DRMVectorScale (D3DVECTOR *d, D3DVECTOR *s, D3DVALUE factor)

Function Documentation

D3DRMColorGetAlpha()

D3DVALUE WINAPI D3DRMColorGetAlpha

(

D3DCOLOR

color

)

Definition at line 38 of file math.c.

{
    return (RGBA_GETALPHA(color)/255.0);
}

Referenced by ColorTest().

D3DRMColorGetBlue()

D3DVALUE WINAPI D3DRMColorGetBlue

(

D3DCOLOR

color

)

Definition at line 44 of file math.c.

{
    return (RGBA_GETBLUE(color)/255.0);
}

Referenced by ColorTest().

D3DRMColorGetGreen()

D3DVALUE WINAPI D3DRMColorGetGreen

(

D3DCOLOR

color

)

Definition at line 50 of file math.c.

{
    return (RGBA_GETGREEN(color)/255.0);
}

Referenced by ColorTest().

D3DRMColorGetRed()

D3DVALUE WINAPI D3DRMColorGetRed

(

D3DCOLOR

color

)

Definition at line 56 of file math.c.

{
    return (RGBA_GETRED(color)/255.0);
}

Referenced by ColorTest().

D3DRMCreateColorRGB()

D3DCOLOR WINAPI D3DRMCreateColorRGB	(	D3DVALUE	red,
		D3DVALUE	green,
		D3DVALUE	blue
	)

Definition at line 23 of file math.c.

{
    return D3DRMCreateColorRGBA(red, green, blue, 1.0f);
}

Referenced by ColorTest().

D3DRMCreateColorRGBA()

D3DCOLOR WINAPI D3DRMCreateColorRGBA	(	D3DVALUE	red,
		D3DVALUE	green,
		D3DVALUE	blue,
		D3DVALUE	alpha
	)

Definition at line 28 of file math.c.

{
    D3DCOLOR color;
 
    d3drm_set_color(&color, red, green, blue, alpha);
 
    return color;
}

Referenced by ColorTest(), and D3DRMCreateColorRGB().

D3DRMMatrixFromQuaternion()

void WINAPI D3DRMMatrixFromQuaternion	(	D3DRMMATRIX4D	m,
		D3DRMQUATERNION *	q
	)

Definition at line 78 of file math.c.

{
    D3DVALUE w,x,y,z;
    w = q->s;
    x = q->v.u1.x;
    y = q->v.u2.y;
    z = q->v.u3.z;
    m[0][0] = 1.0-2.0*(y*y+z*z);
    m[1][1] = 1.0-2.0*(x*x+z*z);
    m[2][2] = 1.0-2.0*(x*x+y*y);
    m[1][0] = 2.0*(x*y+z*w);
    m[0][1] = 2.0*(x*y-z*w);
    m[2][0] = 2.0*(x*z-y*w);
    m[0][2] = 2.0*(x*z+y*w);
    m[2][1] = 2.0*(y*z+x*w);
    m[1][2] = 2.0*(y*z-x*w);
    m[3][0] = 0.0;
    m[3][1] = 0.0;
    m[3][2] = 0.0;
    m[0][3] = 0.0;
    m[1][3] = 0.0;
    m[2][3] = 0.0;
    m[3][3] = 1.0;
}

Referenced by MatrixTest().

D3DRMQuaternionFromRotation()

D3DRMQUATERNION *WINAPI D3DRMQuaternionFromRotation	(	D3DRMQUATERNION *	q,
		D3DVECTOR *	v,
		D3DVALUE	theta
	)

Definition at line 104 of file math.c.

{
    q->s = cos(theta/2.0);
    D3DRMVectorScale(&q->v, D3DRMVectorNormalize(v), sin(theta/2.0));
    return q;
}

Referenced by QuaternionTest(), and test_animation().

D3DRMQuaternionMultiply()

D3DRMQUATERNION *WINAPI D3DRMQuaternionMultiply	(	D3DRMQUATERNION *	q,
		D3DRMQUATERNION *	a,
		D3DRMQUATERNION *	b
	)

Definition at line 62 of file math.c.

{
    D3DRMQUATERNION temp;
    D3DVECTOR cross_product;
 
    D3DRMVectorCrossProduct(&cross_product, &a->v, &b->v);
    temp.s = a->s * b->s - D3DRMVectorDotProduct(&a->v, &b->v);
    temp.v.u1.x = a->s * b->v.u1.x + b->s * a->v.u1.x + cross_product.u1.x;
    temp.v.u2.y = a->s * b->v.u2.y + b->s * a->v.u2.y + cross_product.u2.y;
    temp.v.u3.z = a->s * b->v.u3.z + b->s * a->v.u3.z + cross_product.u3.z;
 
    *q = temp;
    return q;
}

Referenced by D3DRMVectorRotate().

D3DRMQuaternionSlerp()

D3DRMQUATERNION *WINAPI D3DRMQuaternionSlerp	(	D3DRMQUATERNION *	q,
		D3DRMQUATERNION *	a,
		D3DRMQUATERNION *	b,
		D3DVALUE	alpha
	)

Definition at line 112 of file math.c.

{
    D3DVALUE dot, epsilon, temp, theta, u;
    D3DVECTOR v1, v2;
 
    dot = a->s * b->s + D3DRMVectorDotProduct(&a->v, &b->v);
    epsilon = 1.0f;
    temp = 1.0f - alpha;
    u = alpha;
    if (dot < 0.0)
    {
     epsilon = -1.0;
     dot = -dot;
    }
    if( 1.0f - dot > 0.001f )
    {
        theta = acos(dot);
        temp  = sin(theta * temp) / sin(theta);
        u = sin(theta * alpha) / sin(theta);
    }
    q->s = temp * a->s + epsilon * u * b->s;
    D3DRMVectorScale(&v1, &a->v, temp);
    D3DRMVectorScale(&v2, &b->v, epsilon * u);
    D3DRMVectorAdd(&q->v, &v1, &v2);
    return q;
}

Referenced by QuaternionTest().

D3DRMVectorAdd()

D3DVECTOR *WINAPI D3DRMVectorAdd	(	D3DVECTOR *	d,
		D3DVECTOR *	s1,
		D3DVECTOR *	s2
	)

Definition at line 141 of file math.c.

{
    D3DVECTOR temp;
 
    temp.u1.x=s1->u1.x + s2->u1.x;
    temp.u2.y=s1->u2.y + s2->u2.y;
    temp.u3.z=s1->u3.z + s2->u3.z;
 
    *d = temp;
    return d;
}

Referenced by D3DRMQuaternionSlerp(), load_mesh_data(), and VectorTest().

D3DRMVectorCrossProduct()

D3DVECTOR *WINAPI D3DRMVectorCrossProduct	(	D3DVECTOR *	d,
		D3DVECTOR *	s1,
		D3DVECTOR *	s2
	)

Definition at line 167 of file math.c.

{
    D3DVECTOR temp;
 
    temp.u1.x=s1->u2.y * s2->u3.z - s1->u3.z * s2->u2.y;
    temp.u2.y=s1->u3.z * s2->u1.x - s1->u1.x * s2->u3.z;
    temp.u3.z=s1->u1.x * s2->u2.y - s1->u2.y * s2->u1.x;
 
    *d = temp;
    return d;
}

Referenced by D3DRMQuaternionMultiply(), load_mesh_data(), and VectorTest().

D3DRMVectorDotProduct()

D3DVALUE WINAPI D3DRMVectorDotProduct	(	D3DVECTOR *	s1,
		D3DVECTOR *	s2
	)

Definition at line 180 of file math.c.

{
    D3DVALUE dot_product;
    dot_product=s1->u1.x * s2->u1.x + s1->u2.y * s2->u2.y + s1->u3.z * s2->u3.z;
    return dot_product;
}

Referenced by D3DRMQuaternionMultiply(), D3DRMQuaternionSlerp(), D3DRMVectorReflect(), and VectorTest().

D3DRMVectorModulus()

D3DVALUE WINAPI D3DRMVectorModulus

(

D3DVECTOR *

v

)

Definition at line 188 of file math.c.

{
    D3DVALUE result;
    result=sqrt(v->u1.x * v->u1.x + v->u2.y * v->u2.y + v->u3.z * v->u3.z);
    return result;
}

Referenced by D3DRMVectorNormalize(), and VectorTest().

D3DRMVectorNormalize()

D3DVECTOR *WINAPI D3DRMVectorNormalize

(

D3DVECTOR *

u

)

Definition at line 196 of file math.c.

{
    D3DVALUE modulus = D3DRMVectorModulus(u);
    if(modulus)
    {
        D3DRMVectorScale(u,u,1.0/modulus);
    }
    else
    {
        u->u1.x=1.0;
        u->u2.y=0.0;
        u->u3.z=0.0;
    }
    return u;
}

Referenced by d3drm_matrix_set_rotation(), D3DRMQuaternionFromRotation(), D3DRMVectorRandom(), D3DRMVectorRotate(), load_mesh_data(), and VectorTest().

D3DRMVectorRandom()

D3DVECTOR *WINAPI D3DRMVectorRandom

(

D3DVECTOR *

d

)

Definition at line 213 of file math.c.

{
    d->u1.x = rand();
    d->u2.y = rand();
    d->u3.z = rand();
    D3DRMVectorNormalize(d);
    return d;
}

D3DRMVectorReflect()

D3DVECTOR *WINAPI D3DRMVectorReflect	(	D3DVECTOR *	r,
		D3DVECTOR *	ray,
		D3DVECTOR *	norm
	)

Definition at line 223 of file math.c.

{
    D3DVECTOR sca, temp;
    D3DRMVectorSubtract(&temp, D3DRMVectorScale(&sca, norm, 2.0*D3DRMVectorDotProduct(ray,norm)), ray);
 
    *r = temp;
    return r;
}

Referenced by VectorTest().

D3DRMVectorRotate()

D3DVECTOR *WINAPI D3DRMVectorRotate	(	D3DVECTOR *	r,
		D3DVECTOR *	v,
		D3DVECTOR *	axis,
		D3DVALUE	theta
	)

Definition at line 233 of file math.c.

{
    D3DRMQUATERNION quaternion1, quaternion2, quaternion3;
    D3DVECTOR norm;
 
    quaternion1.s = cos(theta * 0.5f);
    quaternion2.s = cos(theta * 0.5f);
    norm = *D3DRMVectorNormalize(axis);
    D3DRMVectorScale(&quaternion1.v, &norm, sin(theta * 0.5f));
    D3DRMVectorScale(&quaternion2.v, &norm, -sin(theta * 0.5f));
    quaternion3.s = 0.0;
    quaternion3.v = *v;
    D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion3);
    D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion2);
 
    *r = *D3DRMVectorNormalize(&quaternion1.v);
    return r;
}

Referenced by VectorTest().

D3DRMVectorScale()

D3DVECTOR *WINAPI D3DRMVectorScale	(	D3DVECTOR *	d,
		D3DVECTOR *	s,
		D3DVALUE	factor
	)

Definition at line 253 of file math.c.

{
    D3DVECTOR temp;
 
    temp.u1.x=factor * s->u1.x;
    temp.u2.y=factor * s->u2.y;
    temp.u3.z=factor * s->u3.z;
 
    *d = temp;
    return d;
}

Referenced by D3DRMQuaternionFromRotation(), D3DRMQuaternionSlerp(), D3DRMVectorNormalize(), D3DRMVectorReflect(), D3DRMVectorRotate(), and VectorTest().

D3DRMVectorSubtract()

D3DVECTOR *WINAPI D3DRMVectorSubtract	(	D3DVECTOR *	d,
		D3DVECTOR *	s1,
		D3DVECTOR *	s2
	)

Definition at line 154 of file math.c.

{
    D3DVECTOR temp;
 
    temp.u1.x=s1->u1.x - s2->u1.x;
    temp.u2.y=s1->u2.y - s2->u2.y;
    temp.u3.z=s1->u3.z - s2->u3.z;
 
    *d = temp;
    return d;
}

Referenced by D3DRMVectorReflect(), load_mesh_data(), and VectorTest().