dll/directx/wine/d3drm/math.c

   1 /*
   2  * Copyright 2007 David Adam
   3  * Copyright 2007 Vijay Kiran Kamuju
   4  *
   5  * This library is free software; you can redistribute it and/or
   6  * modify it under the terms of the GNU Lesser General Public
   7  * License as published by the Free Software Foundation; either
   8  * version 2.1 of the License, or (at your option) any later version.
   9  *
  10  * This library is distributed in the hope that it will be useful,
  11  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  12  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  13  * Lesser General Public License for more details.
  14  *
  15  * You should have received a copy of the GNU Lesser General Public
  16  * License along with this library; if not, write to the Free Software
  17  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
  18  */
  19
  20 #include "d3drm_private.h"
  21
  22 #include <math.h>
  23
  24 /* Create a RGB color from its components */
  25 D3DCOLOR WINAPI D3DRMCreateColorRGB(D3DVALUE red, D3DVALUE green, D3DVALUE blue)
  26 {
  27     return D3DRMCreateColorRGBA(red, green, blue, 1.0f);
  28 }
  29 /* Create a RGBA color from its components */
  30 D3DCOLOR WINAPI D3DRMCreateColorRGBA(D3DVALUE red, D3DVALUE green, D3DVALUE blue, D3DVALUE alpha)
  31 {
  32     D3DCOLOR color;
  33
  34     d3drm_set_color(&color, red, green, blue, alpha);
  35
  36     return color;
  37 }
  38
  39 /* Determine the alpha part of a color */
  40 D3DVALUE WINAPI D3DRMColorGetAlpha(D3DCOLOR color)
  41 {
  42     return (RGBA_GETALPHA(color)/255.0);
  43 }
  44
  45 /* Determine the blue part of a color */
  46 D3DVALUE WINAPI D3DRMColorGetBlue(D3DCOLOR color)
  47 {
  48     return (RGBA_GETBLUE(color)/255.0);
  49 }
  50
  51 /* Determine the green part of a color */
  52 D3DVALUE WINAPI D3DRMColorGetGreen(D3DCOLOR color)
  53 {
  54     return (RGBA_GETGREEN(color)/255.0);
  55 }
  56
  57 /* Determine the red part of a color */
  58 D3DVALUE WINAPI D3DRMColorGetRed(D3DCOLOR color)
  59 {
  60     return (RGBA_GETRED(color)/255.0);
  61 }
  62
  63 /* Product of 2 quaternions */
  64 D3DRMQUATERNION * WINAPI D3DRMQuaternionMultiply(D3DRMQUATERNION *q, D3DRMQUATERNION *a, D3DRMQUATERNION *b)
  65 {
  66     D3DRMQUATERNION temp;
  67     D3DVECTOR cross_product;
  68
  69     D3DRMVectorCrossProduct(&cross_product, &a->v, &b->v);
  70     temp.s = a->s * b->s - D3DRMVectorDotProduct(&a->v, &b->v);
  71     temp.v.u1.x = a->s * b->v.u1.x + b->s * a->v.u1.x + cross_product.u1.x;
  72     temp.v.u2.y = a->s * b->v.u2.y + b->s * a->v.u2.y + cross_product.u2.y;
  73     temp.v.u3.z = a->s * b->v.u3.z + b->s * a->v.u3.z + cross_product.u3.z;
  74
  75     *q = temp;
  76     return q;
  77 }
  78
  79 /* Matrix for the Rotation that a unit quaternion represents */
  80 void WINAPI D3DRMMatrixFromQuaternion(D3DRMMATRIX4D m, D3DRMQUATERNION *q)
  81 {
  82     D3DVALUE w,x,y,z;
  83     w = q->s;
  84     x = q->v.u1.x;
  85     y = q->v.u2.y;
  86     z = q->v.u3.z;
  87     m[0][0] = 1.0-2.0*(y*y+z*z);
  88     m[1][1] = 1.0-2.0*(x*x+z*z);
  89     m[2][2] = 1.0-2.0*(x*x+y*y);
  90     m[1][0] = 2.0*(x*y+z*w);
  91     m[0][1] = 2.0*(x*y-z*w);
  92     m[2][0] = 2.0*(x*z-y*w);
  93     m[0][2] = 2.0*(x*z+y*w);
  94     m[2][1] = 2.0*(y*z+x*w);
  95     m[1][2] = 2.0*(y*z-x*w);
  96     m[3][0] = 0.0;
  97     m[3][1] = 0.0;
  98     m[3][2] = 0.0;
  99     m[0][3] = 0.0;
 100     m[1][3] = 0.0;
 101     m[2][3] = 0.0;
 102     m[3][3] = 1.0;
 103 }
 104
 105 /* Return a unit quaternion that represents a rotation of an angle around an axis */
 106 D3DRMQUATERNION * WINAPI D3DRMQuaternionFromRotation(D3DRMQUATERNION *q, D3DVECTOR *v, D3DVALUE theta)
 107 {
 108     q->s = cos(theta/2.0);
 109     D3DRMVectorScale(&q->v, D3DRMVectorNormalize(v), sin(theta/2.0));
 110     return q;
 111 }
 112
 113 /* Interpolation between two quaternions */
 114 D3DRMQUATERNION * WINAPI D3DRMQuaternionSlerp(D3DRMQUATERNION *q,
 115         D3DRMQUATERNION *a, D3DRMQUATERNION *b, D3DVALUE alpha)
 116 {
 117     D3DVALUE dot, epsilon, temp, theta, u;
 118     D3DVECTOR v1, v2;
 119
 120     dot = a->s * b->s + D3DRMVectorDotProduct(&a->v, &b->v);
 121     epsilon = 1.0f;
 122     temp = 1.0f - alpha;
 123     u = alpha;
 124     if (dot < 0.0)
 125     {
 126      epsilon = -1.0;
 127      dot = -dot;
 128     }
 129     if( 1.0f - dot > 0.001f )
 130     {
 131         theta = acos(dot);
 132         temp  = sin(theta * temp) / sin(theta);
 133         u = sin(theta * alpha) / sin(theta);
 134     }
 135     q->s = temp * a->s + epsilon * u * b->s;
 136     D3DRMVectorScale(&v1, &a->v, temp);
 137     D3DRMVectorScale(&v2, &b->v, epsilon * u);
 138     D3DRMVectorAdd(&q->v, &v1, &v2);
 139     return q;
 140 }
 141
 142 /* Add Two Vectors */
 143 D3DVECTOR * WINAPI D3DRMVectorAdd(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 144 {
 145     D3DVECTOR temp;
 146
 147     temp.u1.x=s1->u1.x + s2->u1.x;
 148     temp.u2.y=s1->u2.y + s2->u2.y;
 149     temp.u3.z=s1->u3.z + s2->u3.z;
 150
 151     *d = temp;
 152     return d;
 153 }
 154
 155 /* Subtract Two Vectors */
 156 D3DVECTOR * WINAPI D3DRMVectorSubtract(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 157 {
 158     D3DVECTOR temp;
 159
 160     temp.u1.x=s1->u1.x - s2->u1.x;
 161     temp.u2.y=s1->u2.y - s2->u2.y;
 162     temp.u3.z=s1->u3.z - s2->u3.z;
 163
 164     *d = temp;
 165     return d;
 166 }
 167
 168 /* Cross Product of Two Vectors */
 169 D3DVECTOR * WINAPI D3DRMVectorCrossProduct(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 170 {
 171     D3DVECTOR temp;
 172
 173     temp.u1.x=s1->u2.y * s2->u3.z - s1->u3.z * s2->u2.y;
 174     temp.u2.y=s1->u3.z * s2->u1.x - s1->u1.x * s2->u3.z;
 175     temp.u3.z=s1->u1.x * s2->u2.y - s1->u2.y * s2->u1.x;
 176
 177     *d = temp;
 178     return d;
 179 }
 180
 181 /* Dot Product of Two vectors */
 182 D3DVALUE WINAPI D3DRMVectorDotProduct(D3DVECTOR *s1, D3DVECTOR *s2)
 183 {
 184     D3DVALUE dot_product;
 185     dot_product=s1->u1.x * s2->u1.x + s1->u2.y * s2->u2.y + s1->u3.z * s2->u3.z;
 186     return dot_product;
 187 }
 188
 189 /* Norm of a vector */
 190 D3DVALUE WINAPI D3DRMVectorModulus(D3DVECTOR *v)
 191 {
 192     D3DVALUE result;
 193     result=sqrt(v->u1.x * v->u1.x + v->u2.y * v->u2.y + v->u3.z * v->u3.z);
 194     return result;
 195 }
 196
 197 /* Normalize a vector.  Returns (1,0,0) if INPUT is the NULL vector. */
 198 D3DVECTOR * WINAPI D3DRMVectorNormalize(D3DVECTOR *u)
 199 {
 200     D3DVALUE modulus = D3DRMVectorModulus(u);
 201     if(modulus)
 202     {
 203         D3DRMVectorScale(u,u,1.0/modulus);
 204     }
 205     else
 206     {
 207         u->u1.x=1.0;
 208         u->u2.y=0.0;
 209         u->u3.z=0.0;
 210     }
 211     return u;
 212 }
 213
 214 /* Returns a random unit vector */
 215 D3DVECTOR * WINAPI D3DRMVectorRandom(D3DVECTOR *d)
 216 {
 217     d->u1.x = rand();
 218     d->u2.y = rand();
 219     d->u3.z = rand();
 220     D3DRMVectorNormalize(d);
 221     return d;
 222 }
 223
 224 /* Reflection of a vector on a surface */
 225 D3DVECTOR * WINAPI D3DRMVectorReflect(D3DVECTOR *r, D3DVECTOR *ray, D3DVECTOR *norm)
 226 {
 227     D3DVECTOR sca, temp;
 228     D3DRMVectorSubtract(&temp, D3DRMVectorScale(&sca, norm, 2.0*D3DRMVectorDotProduct(ray,norm)), ray);
 229
 230     *r = temp;
 231     return r;
 232 }
 233
 234 /* Rotation of a vector */
 235 D3DVECTOR * WINAPI D3DRMVectorRotate(D3DVECTOR *r, D3DVECTOR *v, D3DVECTOR *axis, D3DVALUE theta)
 236 {
 237     D3DRMQUATERNION quaternion1, quaternion2, quaternion3;
 238     D3DVECTOR norm;
 239
 240     quaternion1.s = cos(theta * 0.5f);
 241     quaternion2.s = cos(theta * 0.5f);
 242     norm = *D3DRMVectorNormalize(axis);
 243     D3DRMVectorScale(&quaternion1.v, &norm, sin(theta * 0.5f));
 244     D3DRMVectorScale(&quaternion2.v, &norm, -sin(theta * 0.5f));
 245     quaternion3.s = 0.0;
 246     quaternion3.v = *v;
 247     D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion3);
 248     D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion2);
 249
 250     *r = *D3DRMVectorNormalize(&quaternion1.v);
 251     return r;
 252 }
 253
 254 /* Scale a vector */
 255 D3DVECTOR * WINAPI D3DRMVectorScale(D3DVECTOR *d, D3DVECTOR *s, D3DVALUE factor)
 256 {
 257     D3DVECTOR temp;
 258
 259     temp.u1.x=factor * s->u1.x;
 260     temp.u2.y=factor * s->u2.y;
 261     temp.u3.z=factor * s->u3.z;
 262
 263     *d = temp;
 264     return d;
 265 }