dlls/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 "config.h"
  21 #include "wine/port.h"
  22
  23 #include "d3drm_private.h"
  24
  25 /* Create a RGB color from its components */
  26 D3DCOLOR WINAPI D3DRMCreateColorRGB(D3DVALUE red, D3DVALUE green, D3DVALUE blue)
  27 {
  28     return D3DRMCreateColorRGBA(red, green, blue, 1.0f);
  29 }
  30 /* Create a RGBA color from its components */
  31 D3DCOLOR WINAPI D3DRMCreateColorRGBA(D3DVALUE red, D3DVALUE green, D3DVALUE blue, D3DVALUE alpha)
  32 {
  33     D3DCOLOR color;
  34
  35     d3drm_set_color(&color, red, green, blue, alpha);
  36
  37     return color;
  38 }
  39
  40 /* Determine the alpha part of a color */
  41 D3DVALUE WINAPI D3DRMColorGetAlpha(D3DCOLOR color)
  42 {
  43     return (RGBA_GETALPHA(color)/255.0);
  44 }
  45
  46 /* Determine the blue part of a color */
  47 D3DVALUE WINAPI D3DRMColorGetBlue(D3DCOLOR color)
  48 {
  49     return (RGBA_GETBLUE(color)/255.0);
  50 }
  51
  52 /* Determine the green part of a color */
  53 D3DVALUE WINAPI D3DRMColorGetGreen(D3DCOLOR color)
  54 {
  55     return (RGBA_GETGREEN(color)/255.0);
  56 }
  57
  58 /* Determine the red part of a color */
  59 D3DVALUE WINAPI D3DRMColorGetRed(D3DCOLOR color)
  60 {
  61     return (RGBA_GETRED(color)/255.0);
  62 }
  63
  64 /* Product of 2 quaternions */
  65 D3DRMQUATERNION * WINAPI D3DRMQuaternionMultiply(D3DRMQUATERNION *q, D3DRMQUATERNION *a, D3DRMQUATERNION *b)
  66 {
  67     D3DRMQUATERNION temp;
  68     D3DVECTOR cross_product;
  69
  70     D3DRMVectorCrossProduct(&cross_product, &a->v, &b->v);
  71     temp.s = a->s * b->s - D3DRMVectorDotProduct(&a->v, &b->v);
  72     temp.v.u1.x = a->s * b->v.u1.x + b->s * a->v.u1.x + cross_product.u1.x;
  73     temp.v.u2.y = a->s * b->v.u2.y + b->s * a->v.u2.y + cross_product.u2.y;
  74     temp.v.u3.z = a->s * b->v.u3.z + b->s * a->v.u3.z + cross_product.u3.z;
  75
  76     *q = temp;
  77     return q;
  78 }
  79
  80 /* Matrix for the Rotation that a unit quaternion represents */
  81 void WINAPI D3DRMMatrixFromQuaternion(D3DRMMATRIX4D m, D3DRMQUATERNION *q)
  82 {
  83     D3DVALUE w,x,y,z;
  84     w = q->s;
  85     x = q->v.u1.x;
  86     y = q->v.u2.y;
  87     z = q->v.u3.z;
  88     m[0][0] = 1.0-2.0*(y*y+z*z);
  89     m[1][1] = 1.0-2.0*(x*x+z*z);
  90     m[2][2] = 1.0-2.0*(x*x+y*y);
  91     m[1][0] = 2.0*(x*y+z*w);
  92     m[0][1] = 2.0*(x*y-z*w);
  93     m[2][0] = 2.0*(x*z-y*w);
  94     m[0][2] = 2.0*(x*z+y*w);
  95     m[2][1] = 2.0*(y*z+x*w);
  96     m[1][2] = 2.0*(y*z-x*w);
  97     m[3][0] = 0.0;
  98     m[3][1] = 0.0;
  99     m[3][2] = 0.0;
 100     m[0][3] = 0.0;
 101     m[1][3] = 0.0;
 102     m[2][3] = 0.0;
 103     m[3][3] = 1.0;
 104 }
 105
 106 /* Return a unit quaternion that represents a rotation of an angle around an axis */
 107 D3DRMQUATERNION * WINAPI D3DRMQuaternionFromRotation(D3DRMQUATERNION *q, D3DVECTOR *v, D3DVALUE theta)
 108 {
 109     q->s = cos(theta/2.0);
 110     D3DRMVectorScale(&q->v, D3DRMVectorNormalize(v), sin(theta/2.0));
 111     return q;
 112 }
 113
 114 /* Interpolation between two quaternions */
 115 D3DRMQUATERNION * WINAPI D3DRMQuaternionSlerp(D3DRMQUATERNION *q,
 116         D3DRMQUATERNION *a, D3DRMQUATERNION *b, D3DVALUE alpha)
 117 {
 118     D3DVALUE dot, epsilon, temp, theta, u;
 119     D3DVECTOR v1, v2;
 120
 121     dot = a->s * b->s + D3DRMVectorDotProduct(&a->v, &b->v);
 122     epsilon = 1.0f;
 123     temp = 1.0f - alpha;
 124     u = alpha;
 125     if (dot < 0.0)
 126     {
 127      epsilon = -1.0;
 128      dot = -dot;
 129     }
 130     if( 1.0f - dot > 0.001f )
 131     {
 132         theta = acos(dot);
 133         temp  = sin(theta * temp) / sin(theta);
 134         u = sin(theta * alpha) / sin(theta);
 135     }
 136     q->s = temp * a->s + epsilon * u * b->s;
 137     D3DRMVectorScale(&v1, &a->v, temp);
 138     D3DRMVectorScale(&v2, &b->v, epsilon * u);
 139     D3DRMVectorAdd(&q->v, &v1, &v2);
 140     return q;
 141 }
 142
 143 /* Add Two Vectors */
 144 D3DVECTOR * WINAPI D3DRMVectorAdd(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 145 {
 146     D3DVECTOR temp;
 147
 148     temp.u1.x=s1->u1.x + s2->u1.x;
 149     temp.u2.y=s1->u2.y + s2->u2.y;
 150     temp.u3.z=s1->u3.z + s2->u3.z;
 151
 152     *d = temp;
 153     return d;
 154 }
 155
 156 /* Subtract Two Vectors */
 157 D3DVECTOR * WINAPI D3DRMVectorSubtract(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 158 {
 159     D3DVECTOR temp;
 160
 161     temp.u1.x=s1->u1.x - s2->u1.x;
 162     temp.u2.y=s1->u2.y - s2->u2.y;
 163     temp.u3.z=s1->u3.z - s2->u3.z;
 164
 165     *d = temp;
 166     return d;
 167 }
 168
 169 /* Cross Product of Two Vectors */
 170 D3DVECTOR * WINAPI D3DRMVectorCrossProduct(D3DVECTOR *d, D3DVECTOR *s1, D3DVECTOR *s2)
 171 {
 172     D3DVECTOR temp;
 173
 174     temp.u1.x=s1->u2.y * s2->u3.z - s1->u3.z * s2->u2.y;
 175     temp.u2.y=s1->u3.z * s2->u1.x - s1->u1.x * s2->u3.z;
 176     temp.u3.z=s1->u1.x * s2->u2.y - s1->u2.y * s2->u1.x;
 177
 178     *d = temp;
 179     return d;
 180 }
 181
 182 /* Dot Product of Two vectors */
 183 D3DVALUE WINAPI D3DRMVectorDotProduct(D3DVECTOR *s1, D3DVECTOR *s2)
 184 {
 185     D3DVALUE dot_product;
 186     dot_product=s1->u1.x * s2->u1.x + s1->u2.y * s2->u2.y + s1->u3.z * s2->u3.z;
 187     return dot_product;
 188 }
 189
 190 /* Norm of a vector */
 191 D3DVALUE WINAPI D3DRMVectorModulus(D3DVECTOR *v)
 192 {
 193     D3DVALUE result;
 194     result=sqrt(v->u1.x * v->u1.x + v->u2.y * v->u2.y + v->u3.z * v->u3.z);
 195     return result;
 196 }
 197
 198 /* Normalize a vector.  Returns (1,0,0) if INPUT is the NULL vector. */
 199 D3DVECTOR * WINAPI D3DRMVectorNormalize(D3DVECTOR *u)
 200 {
 201     D3DVALUE modulus = D3DRMVectorModulus(u);
 202     if(modulus)
 203     {
 204         D3DRMVectorScale(u,u,1.0/modulus);
 205     }
 206     else
 207     {
 208         u->u1.x=1.0;
 209         u->u2.y=0.0;
 210         u->u3.z=0.0;
 211     }
 212     return u;
 213 }
 214
 215 /* Returns a random unit vector */
 216 D3DVECTOR * WINAPI D3DRMVectorRandom(D3DVECTOR *d)
 217 {
 218     d->u1.x = rand();
 219     d->u2.y = rand();
 220     d->u3.z = rand();
 221     D3DRMVectorNormalize(d);
 222     return d;
 223 }
 224
 225 /* Reflection of a vector on a surface */
 226 D3DVECTOR * WINAPI D3DRMVectorReflect(D3DVECTOR *r, D3DVECTOR *ray, D3DVECTOR *norm)
 227 {
 228     D3DVECTOR sca, temp;
 229     D3DRMVectorSubtract(&temp, D3DRMVectorScale(&sca, norm, 2.0*D3DRMVectorDotProduct(ray,norm)), ray);
 230
 231     *r = temp;
 232     return r;
 233 }
 234
 235 /* Rotation of a vector */
 236 D3DVECTOR * WINAPI D3DRMVectorRotate(D3DVECTOR *r, D3DVECTOR *v, D3DVECTOR *axis, D3DVALUE theta)
 237 {
 238     D3DRMQUATERNION quaternion1, quaternion2, quaternion3;
 239     D3DVECTOR norm;
 240
 241     quaternion1.s = cos(theta * 0.5f);
 242     quaternion2.s = cos(theta * 0.5f);
 243     norm = *D3DRMVectorNormalize(axis);
 244     D3DRMVectorScale(&quaternion1.v, &norm, sin(theta * 0.5f));
 245     D3DRMVectorScale(&quaternion2.v, &norm, -sin(theta * 0.5f));
 246     quaternion3.s = 0.0;
 247     quaternion3.v = *v;
 248     D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion3);
 249     D3DRMQuaternionMultiply(&quaternion1, &quaternion1, &quaternion2);
 250
 251     *r = *D3DRMVectorNormalize(&quaternion1.v);
 252     return r;
 253 }
 254
 255 /* Scale a vector */
 256 D3DVECTOR * WINAPI D3DRMVectorScale(D3DVECTOR *d, D3DVECTOR *s, D3DVALUE factor)
 257 {
 258     D3DVECTOR temp;
 259
 260     temp.u1.x=factor * s->u1.x;
 261     temp.u2.y=factor * s->u2.y;
 262     temp.u3.z=factor * s->u3.z;
 263
 264     *d = temp;
 265     return d;
 266 }