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 #define NONAMELESSUNION
  21
  22 #include <stdio.h>
  23 #include <stdlib.h>
  24 #include <stdarg.h>
  25 #include <assert.h>
  26 #include <math.h>
  27
  28 #include "windef.h"
  29 #include "winbase.h"
  30 #include "wingdi.h"
  31 #include "d3drmdef.h"
  32
  33 #include "wine/debug.h"
  34
  35 WINE_DEFAULT_DEBUG_CHANNEL(d3drm);
  36
  37 /* Create a RGB color from its components */
  38 D3DCOLOR WINAPI D3DRMCreateColorRGB(D3DVALUE red, D3DVALUE green, D3DVALUE blue)
  39 {
  40     return (D3DRMCreateColorRGBA(red, green, blue, 255.0));
  41 }
  42 /* Create a RGBA color from its components */
  43 D3DCOLOR WINAPI D3DRMCreateColorRGBA(D3DVALUE red, D3DVALUE green, D3DVALUE blue, D3DVALUE alpha)
  44 {
  45     int Red, Green, Blue, Alpha;
  46     Red=floor(red*255);
  47     Green=floor(green*255);
  48     Blue=floor(blue*255);
  49     Alpha=floor(alpha*255);
  50     if (red < 0) Red=0;
  51     if (red > 1) Red=255;
  52     if (green < 0) Green=0;
  53     if (green > 1) Green=255;
  54     if (blue < 0) Blue=0;
  55     if (blue > 1) Blue=255;
  56     if (alpha < 0) Alpha=0;
  57     if (alpha > 1) Alpha=255;
  58     return (RGBA_MAKE(Red, Green, Blue, Alpha));
  59 }
  60
  61 /* Determine the alpha part of a color */
  62 D3DVALUE WINAPI D3DRMColorGetAlpha(D3DCOLOR color)
  63 {
  64     return (RGBA_GETALPHA(color)/255.0);
  65 }
  66
  67 /* Determine the blue part of a color */
  68 D3DVALUE WINAPI D3DRMColorGetBlue(D3DCOLOR color)
  69 {
  70     return (RGBA_GETBLUE(color)/255.0);
  71 }
  72
  73 /* Determine the green part of a color */
  74 D3DVALUE WINAPI D3DRMColorGetGreen(D3DCOLOR color)
  75 {
  76     return (RGBA_GETGREEN(color)/255.0);
  77 }
  78
  79 /* Determine the red part of a color */
  80 D3DVALUE WINAPI D3DRMColorGetRed(D3DCOLOR color)
  81 {
  82     return (RGBA_GETRED(color)/255.0);
  83 }
  84
  85 /* Product of 2 quaternions */
  86 LPD3DRMQUATERNION WINAPI D3DRMQuaternionMultiply(LPD3DRMQUATERNION q, LPD3DRMQUATERNION a, LPD3DRMQUATERNION b)
  87 {
  88     D3DVECTOR cross_product;
  89     D3DRMVectorCrossProduct(&cross_product, &a->v, &b->v);
  90     q->s = a->s * b->s - D3DRMVectorDotProduct(&a->v, &b->v);
  91     q->v.u1.x = a->s * b->v.u1.x + b->s * a->v.u1.x + cross_product.u1.x;
  92     q->v.u2.y = a->s * b->v.u2.y + b->s * a->v.u2.y + cross_product.u2.y;
  93     q->v.u3.z = a->s * b->v.u3.z + b->s * a->v.u3.z + cross_product.u3.z;
  94     return q;
  95 }
  96
  97 /* Matrix for the Rotation that a unit quaternion represents */
  98 void WINAPI D3DRMMatrixFromQuaternion(D3DRMMATRIX4D m, LPD3DRMQUATERNION q)
  99 {
 100     D3DVALUE w,x,y,z;
 101     w = q->s;
 102     x = q->v.u1.x;
 103     y = q->v.u2.y;
 104     z = q->v.u3.z;
 105     m[0][0] = 1.0-2.0*(y*y+z*z);
 106     m[1][1] = 1.0-2.0*(x*x+z*z);
 107     m[2][2] = 1.0-2.0*(x*x+y*y);
 108     m[1][0] = 2.0*(x*y+z*w);
 109     m[0][1] = 2.0*(x*y-z*w);
 110     m[2][0] = 2.0*(x*z-y*w);
 111     m[0][2] = 2.0*(x*z+y*w);
 112     m[2][1] = 2.0*(y*z+x*w);
 113     m[1][2] = 2.0*(y*z-x*w);
 114     m[3][0] = 0.0;
 115     m[3][1] = 0.0;
 116     m[3][2] = 0.0;
 117     m[0][3] = 0.0;
 118     m[1][3] = 0.0;
 119     m[2][3] = 0.0;
 120     m[3][3] = 1.0;
 121 }
 122
 123 /* Return a unit quaternion that represents a rotation of an angle around an axis */
 124 LPD3DRMQUATERNION WINAPI D3DRMQuaternionFromRotation(LPD3DRMQUATERNION q, LPD3DVECTOR v, D3DVALUE theta)
 125 {
 126     q->s = cos(theta/2.0);
 127     D3DRMVectorScale(&q->v, D3DRMVectorNormalize(v), sin(theta/2.0));
 128     return q;
 129 }
 130
 131 /* Interpolation between two quaternions */
 132 LPD3DRMQUATERNION WINAPI D3DRMQuaternionSlerp(LPD3DRMQUATERNION q, LPD3DRMQUATERNION a, LPD3DRMQUATERNION b, D3DVALUE alpha)
 133 {
 134     D3DVALUE epsilon=1.0;
 135     D3DVECTOR sca1,sca2;
 136     if (a->s * b->s + D3DRMVectorDotProduct(&a->v, &b->v) < 0.0) epsilon = -1.0;
 137     q->s = (1.0 - alpha) * a->s + epsilon * alpha * b->s;
 138     D3DRMVectorAdd(&q->v, D3DRMVectorScale(&sca1, &a->v, 1.0 - alpha),
 139                    D3DRMVectorScale(&sca2, &b->v, epsilon * alpha));
 140     return q;
 141 }
 142
 143 /* Add Two Vectors */
 144 LPD3DVECTOR WINAPI D3DRMVectorAdd(LPD3DVECTOR d, LPD3DVECTOR s1, LPD3DVECTOR s2)
 145 {
 146     d->u1.x=s1->u1.x + s2->u1.x;
 147     d->u2.y=s1->u2.y + s2->u2.y;
 148     d->u3.z=s1->u3.z + s2->u3.z;
 149     return d;
 150 }
 151
 152 /* Subtract Two Vectors */
 153 LPD3DVECTOR WINAPI D3DRMVectorSubtract(LPD3DVECTOR d, LPD3DVECTOR s1, LPD3DVECTOR s2)
 154 {
 155     d->u1.x=s1->u1.x - s2->u1.x;
 156     d->u2.y=s1->u2.y - s2->u2.y;
 157     d->u3.z=s1->u3.z - s2->u3.z;
 158     return d;
 159 }
 160
 161 /* Cross Product of Two Vectors */
 162 LPD3DVECTOR WINAPI D3DRMVectorCrossProduct(LPD3DVECTOR d, LPD3DVECTOR s1, LPD3DVECTOR s2)
 163 {
 164     d->u1.x=s1->u2.y * s2->u3.z - s1->u3.z * s2->u2.y;
 165     d->u2.y=s1->u3.z * s2->u1.x - s1->u1.x * s2->u3.z;
 166     d->u3.z=s1->u1.x * s2->u2.y - s1->u2.y * s2->u1.x;
 167     return d;
 168 }
 169
 170 /* Dot Product of Two vectors */
 171 D3DVALUE WINAPI D3DRMVectorDotProduct(LPD3DVECTOR s1, LPD3DVECTOR s2)
 172 {
 173     D3DVALUE dot_product;
 174     dot_product=s1->u1.x * s2->u1.x + s1->u2.y * s2->u2.y + s1->u3.z * s2->u3.z;
 175     return dot_product;
 176 }
 177
 178 /* Norm of a vector */
 179 D3DVALUE WINAPI D3DRMVectorModulus(LPD3DVECTOR v)
 180 {
 181     D3DVALUE result;
 182     result=sqrt(v->u1.x * v->u1.x + v->u2.y * v->u2.y + v->u3.z * v->u3.z);
 183     return result;
 184 }
 185
 186 /* Normalize a vector.  Returns (1,0,0) if INPUT is the NULL vector. */
 187 LPD3DVECTOR WINAPI D3DRMVectorNormalize(LPD3DVECTOR u)
 188 {
 189     D3DVALUE modulus = D3DRMVectorModulus(u);
 190     if(modulus)
 191     {
 192         D3DRMVectorScale(u,u,1.0/modulus);
 193     }
 194     else
 195     {
 196         u->u1.x=1.0;
 197         u->u2.y=0.0;
 198         u->u3.z=0.0;
 199     }
 200     return u;
 201 }
 202
 203 /* Returns a random unit vector */
 204 LPD3DVECTOR WINAPI D3DRMVectorRandom(LPD3DVECTOR d)
 205 {
 206     d->u1.x = rand();
 207     d->u2.y = rand();
 208     d->u3.z = rand();
 209     D3DRMVectorNormalize(d);
 210     return d;
 211 }
 212
 213 /* Reflection of a vector on a surface */
 214 LPD3DVECTOR WINAPI D3DRMVectorReflect(LPD3DVECTOR r, LPD3DVECTOR ray, LPD3DVECTOR norm)
 215 {
 216     D3DVECTOR sca;
 217     D3DRMVectorSubtract(r, D3DRMVectorScale(&sca, norm, 2.0*D3DRMVectorDotProduct(ray,norm)), ray);
 218     return r;
 219 }
 220
 221 /* Rotation of a vector */
 222 LPD3DVECTOR WINAPI D3DRMVectorRotate(LPD3DVECTOR r, LPD3DVECTOR v, LPD3DVECTOR axis, D3DVALUE theta)
 223 {
 224     D3DRMQUATERNION quaternion,quaternion1, quaternion2, quaternion3, resultq;
 225     D3DVECTOR NORM;
 226
 227     quaternion1.s = cos(theta*.5);
 228     quaternion2.s = cos(theta*.5);
 229     NORM = *D3DRMVectorNormalize(axis);
 230     D3DRMVectorScale(&quaternion1.v, &NORM, sin(theta * .5));
 231     D3DRMVectorScale(&quaternion2.v, &NORM, -sin(theta * .5));
 232     quaternion3.s = 0.0;
 233     quaternion3.v = *v;
 234     D3DRMQuaternionMultiply(&quaternion, &quaternion1, &quaternion3);
 235     D3DRMQuaternionMultiply(&resultq, &quaternion, &quaternion2);
 236     *r = *D3DRMVectorNormalize(&resultq.v);
 237     return r;
 238 }
 239
 240 /* Scale a vector */
 241 LPD3DVECTOR WINAPI D3DRMVectorScale(LPD3DVECTOR d, LPD3DVECTOR s, D3DVALUE factor)
 242 {
 243     d->u1.x=factor * s->u1.x;
 244     d->u2.y=factor * s->u2.y;
 245     d->u3.z=factor * s->u3.z;
 246     return d;
 247 }