//Copyright 2012-2017 <>< Charles Lohr //You may license this file under the MIT/x11, NewBSD, or any GPL license. //This is a series of tools useful for software rendering. //Use of this file with OpenGL is untested. #include "CNFG3D.h" #include #include #define m00 0 #define m01 1 #define m02 2 #define m03 3 #define m10 4 #define m11 5 #define m12 6 #define m13 7 #define m20 8 #define m21 9 #define m22 10 #define m23 11 #define m30 12 #define m31 13 #define m32 14 #define m33 15 void tdIdentity( float * f ) { f[m00] = 1; f[m01] = 0; f[m02] = 0; f[m03] = 0; f[m10] = 0; f[m11] = 1; f[m12] = 0; f[m13] = 0; f[m20] = 0; f[m21] = 0; f[m22] = 1; f[m23] = 0; f[m30] = 0; f[m31] = 0; f[m32] = 0; f[m33] = 1; } void tdZero( float * f ) { f[m00] = 0; f[m01] = 0; f[m02] = 0; f[m03] = 0; f[m10] = 0; f[m11] = 0; f[m12] = 0; f[m13] = 0; f[m20] = 0; f[m21] = 0; f[m22] = 0; f[m23] = 0; f[m30] = 0; f[m31] = 0; f[m32] = 0; f[m33] = 0; } void tdTranslate( float * f, float x, float y, float z ) { float ftmp[16]; tdIdentity(ftmp); ftmp[m03] += x; ftmp[m13] += y; ftmp[m23] += z; tdMultiply( f, ftmp, f ); } void tdScale( float * f, float x, float y, float z ) { f[m00] *= x; f[m01] *= x; f[m02] *= x; f[m03] *= x; f[m10] *= y; f[m11] *= y; f[m12] *= y; f[m13] *= y; f[m20] *= z; f[m21] *= z; f[m22] *= z; f[m23] *= z; } void tdRotateAA( float * f, float angle, float ix, float iy, float iz ) { float ftmp[16]; float c = tdCOS( angle*tdDEGRAD ); float s = tdSIN( angle*tdDEGRAD ); float absin = tdSQRT( ix*ix + iy*iy + iz*iz ); float x = ix/absin; float y = iy/absin; float z = iz/absin; ftmp[m00] = x*x*(1-c)+c; ftmp[m01] = x*y*(1-c)-z*s; ftmp[m02] = x*z*(1-c)+y*s; ftmp[m03] = 0; ftmp[m10] = y*x*(1-c)+z*s; ftmp[m11] = y*y*(1-c)+c; ftmp[m12] = y*z*(1-c)-x*s; ftmp[m13] = 0; ftmp[m20] = x*z*(1-c)-y*s; ftmp[m21] = y*z*(1-c)+x*s; ftmp[m22] = z*z*(1-c)+c; ftmp[m23] = 0; ftmp[m30] = 0; ftmp[m31] = 0; ftmp[m32] = 0; ftmp[m33] = 1; tdMultiply( f, ftmp, f ); } void tdRotateEA( float * f, float x, float y, float z ) { float ftmp[16]; //x,y,z must be negated for some reason float X = -x*2*tdQ_PI/360; //Reduced calulation for speed float Y = -y*2*tdQ_PI/360; float Z = -z*2*tdQ_PI/360; float cx = tdCOS(X); float sx = tdSIN(X); float cy = tdCOS(Y); float sy = tdSIN(Y); float cz = tdCOS(Z); float sz = tdSIN(Z); //Row major //manually transposed ftmp[m00] = cy*cz; ftmp[m10] = (sx*sy*cz)-(cx*sz); ftmp[m20] = (cx*sy*cz)+(sx*sz); ftmp[m30] = 0; ftmp[m01] = cy*sz; ftmp[m11] = (sx*sy*sz)+(cx*cz); ftmp[m21] = (cx*sy*sz)-(sx*cz); ftmp[m31] = 0; ftmp[m02] = -sy; ftmp[m12] = sx*cy; ftmp[m22] = cx*cy; ftmp[m32] = 0; ftmp[m03] = 0; ftmp[m13] = 0; ftmp[m23] = 0; ftmp[m33] = 1; tdMultiply( f, ftmp, f ); } void tdMultiply( float * fin1, float * fin2, float * fout ) { float fotmp[16]; int i, j, k; /* fotmp[m00] = fin1[m00] * fin2[m00] + fin1[m01] * fin2[m10] + fin1[m02] * fin2[m20] + fin1[m03] * fin2[m30]; fotmp[m01] = fin1[m00] * fin2[m01] + fin1[m01] * fin2[m11] + fin1[m02] * fin2[m21] + fin1[m03] * fin2[m31]; fotmp[m02] = fin1[m00] * fin2[m02] + fin1[m01] * fin2[m12] + fin1[m02] * fin2[m22] + fin1[m03] * fin2[m32]; fotmp[m03] = fin1[m00] * fin2[m03] + fin1[m01] * fin2[m13] + fin1[m02] * fin2[m23] + fin1[m03] * fin2[m33]; fotmp[m10] = fin1[m10] * fin2[m00] + fin1[m11] * fin2[m10] + fin1[m12] * fin2[m20] + fin1[m13] * fin2[m30]; fotmp[m11] = fin1[m10] * fin2[m01] + fin1[m11] * fin2[m11] + fin1[m12] * fin2[m21] + fin1[m13] * fin2[m31]; fotmp[m12] = fin1[m10] * fin2[m02] + fin1[m11] * fin2[m12] + fin1[m12] * fin2[m22] + fin1[m13] * fin2[m32]; fotmp[m13] = fin1[m10] * fin2[m03] + fin1[m11] * fin2[m13] + fin1[m12] * fin2[m23] + fin1[m13] * fin2[m33]; fotmp[m20] = fin1[m20] * fin2[m00] + fin1[m21] * fin2[m10] + fin1[m22] * fin2[m20] + fin1[m23] * fin2[m30]; fotmp[m21] = fin1[m20] * fin2[m01] + fin1[m21] * fin2[m11] + fin1[m22] * fin2[m21] + fin1[m23] * fin2[m31]; fotmp[m22] = fin1[m20] * fin2[m02] + fin1[m21] * fin2[m12] + fin1[m22] * fin2[m22] + fin1[m23] * fin2[m32]; fotmp[m23] = fin1[m20] * fin2[m03] + fin1[m21] * fin2[m13] + fin1[m22] * fin2[m23] + fin1[m23] * fin2[m33]; fotmp[m30] = fin1[m30] * fin2[m00] + fin1[m31] * fin2[m10] + fin1[m32] * fin2[m20] + fin1[m33] * fin2[m30]; fotmp[m31] = fin1[m30] * fin2[m01] + fin1[m31] * fin2[m11] + fin1[m32] * fin2[m21] + fin1[m33] * fin2[m31]; fotmp[m32] = fin1[m30] * fin2[m02] + fin1[m31] * fin2[m12] + fin1[m32] * fin2[m22] + fin1[m33] * fin2[m32]; fotmp[m33] = fin1[m30] * fin2[m03] + fin1[m31] * fin2[m13] + fin1[m32] * fin2[m23] + fin1[m33] * fin2[m33]; */ for( i = 0; i < 16; i++ ) { int xp = i & 0x03; int yp = i & 0x0c; fotmp[i] = 0; for( k = 0; k < 4; k++ ) { fotmp[i] += fin1[yp+k] * fin2[(k<<2)|xp]; } } tdMATCOPY( fout, fotmp ); } void tdPrint( float * f ) { int i; printf( "{\n" ); for( i = 0; i < 16; i+=4 ) { printf( " %f, %f, %f, %f\n", f[0+i], f[1+i], f[2+i], f[3+i] ); } printf( "}\n" ); } void tdTransposeSelf( float * f ) { float fout[16]; fout[m00] = f[m00]; fout[m01] = f[m10]; fout[m02] = f[m20]; fout[m03] = f[m30]; fout[m10] = f[m01]; fout[m11] = f[m11]; fout[m12] = f[m21]; fout[m13] = f[m31]; fout[m20] = f[m02]; fout[m21] = f[m12]; fout[m22] = f[m22]; fout[m23] = f[m32]; fout[m30] = f[m03]; fout[m31] = f[m13]; fout[m32] = f[m23]; fout[m33] = f[m33]; tdMATCOPY( f, fout ); } void tdPerspective( float fovy, float aspect, float zNear, float zFar, float * out ) { float f = 1./tdTAN(fovy * tdQ_PI / 360.0); out[m00] = f/aspect; out[m01] = 0; out[m02] = 0; out[m03] = 0; out[m10] = 0; out[m11] = f; out[m12] = 0; out[m13] = 0; out[m20] = 0; out[m21] = 0; out[m22] = (zFar + zNear)/(zNear - zFar); out[m23] = 2*zFar*zNear /(zNear - zFar); out[m30] = 0; out[m31] = 0; out[m32] = -1; out[m33] = 0; } void tdLookAt( float * m, float * eye, float * at, float * up ) { float out[16]; float otmp[16]; float F[3] = { at[0] - eye[0], at[1] - eye[1], at[2] - eye[2] }; float fdiv = 1./tdSQRT( F[0]*F[0] + F[1]*F[1] + F[2]*F[2] ); float f[3] = { F[0]*fdiv, F[1]*fdiv, F[2]*fdiv }; float udiv = 1./tdSQRT( up[0]*up[0] + up[1]*up[1] + up[2]*up[2] ); float UP[3] = { up[0]*udiv, up[1]*udiv, up[2]*udiv }; float s[3]; float u[3]; tdCross( f, UP, s ); tdCross( s, f, u ); out[m00] = s[0]; out[m01] = s[1]; out[m02] = s[2]; out[m03] = 0; out[m10] = u[0]; out[m11] = u[1]; out[m12] = u[2]; out[m13] = 0; out[m20] = -f[0];out[m21] =-f[1]; out[m22] =-f[2]; out[m23] = 0; out[m30] = 0; out[m31] = 0; out[m32] = 0; out[m33] = 1; tdMultiply( m, out, m ); tdTranslate( m, -eye[0], -eye[1], -eye[2] ); } void tdPTransform( const float * pin, float * f, float * pout ) { float ptmp[2]; ptmp[0] = pin[0] * f[m00] + pin[1] * f[m01] + pin[2] * f[m02] + f[m03]; ptmp[1] = pin[0] * f[m10] + pin[1] * f[m11] + pin[2] * f[m12] + f[m13]; pout[2] = pin[0] * f[m20] + pin[1] * f[m21] + pin[2] * f[m22] + f[m23]; pout[0] = ptmp[0]; pout[1] = ptmp[1]; } void tdVTransform( const float * pin, float * f, float * pout ) { float ptmp[2]; ptmp[0] = pin[0] * f[m00] + pin[1] * f[m01] + pin[2] * f[m02]; ptmp[1] = pin[0] * f[m10] + pin[1] * f[m11] + pin[2] * f[m12]; pout[2] = pin[0] * f[m20] + pin[1] * f[m21] + pin[2] * f[m22]; pout[0] = ptmp[0]; pout[1] = ptmp[1]; } void td4Transform( float * pin, float * f, float * pout ) { float ptmp[3]; ptmp[0] = pin[0] * f[m00] + pin[1] * f[m01] + pin[2] * f[m02] + pin[3] * f[m03]; ptmp[1] = pin[0] * f[m10] + pin[1] * f[m11] + pin[2] * f[m12] + pin[3] * f[m13]; ptmp[2] = pin[0] * f[m20] + pin[1] * f[m21] + pin[2] * f[m22] + pin[3] * f[m23]; pout[3] = pin[0] * f[m30] + pin[1] * f[m31] + pin[2] * f[m32] + pin[3] * f[m33]; pout[0] = ptmp[0]; pout[1] = ptmp[1]; pout[2] = ptmp[2]; } void td4RTransform( float * pin, float * f, float * pout ) { float ptmp[3]; ptmp[0] = pin[0] * f[m00] + pin[1] * f[m10] + pin[2] * f[m20] + pin[3] * f[m30]; ptmp[1] = pin[0] * f[m01] + pin[1] * f[m11] + pin[2] * f[m21] + pin[3] * f[m31]; ptmp[2] = pin[0] * f[m02] + pin[1] * f[m12] + pin[2] * f[m22] + pin[3] * f[m32]; pout[3] = pin[0] * f[m03] + pin[1] * f[m13] + pin[2] * f[m23] + pin[3] * f[m33]; pout[0] = ptmp[0]; pout[1] = ptmp[1]; pout[2] = ptmp[2]; } void tdNormalizeSelf( float * vin ) { float vsq = 1./tdSQRT(vin[0]*vin[0] + vin[1]*vin[1] + vin[2]*vin[2]); vin[0] *= vsq; vin[1] *= vsq; vin[2] *= vsq; } void tdCross( float * va, float * vb, float * vout ) { float vtmp[2]; vtmp[0] = va[1] * vb[2] - va[2] * vb[1]; vtmp[1] = va[2] * vb[0] - va[0] * vb[2]; vout[2] = va[0] * vb[1] - va[1] * vb[0]; vout[0] = vtmp[0]; vout[1] = vtmp[1]; } float tdDistance( float * va, float * vb ) { float dx = va[0]-vb[0]; float dy = va[1]-vb[1]; float dz = va[2]-vb[2]; return tdSQRT(dx*dx + dy*dy + dz*dz); } float tdDot( float * va, float * vb ) { return va[0]*vb[0] + va[1]*vb[1] + va[2]*vb[2]; } //Stack functionality. static float gsMatricies[2][tdMATRIXMAXDEPTH]; float * gSMatrix = &gsMatricies[0][0]; static int gsMMode; static int gsMPlace[2]; void tdPush() { if( gsMPlace[gsMMode] > tdMATRIXMAXDEPTH - 2 ) return; tdMATCOPY( &gsMatricies[gsMMode][gsMPlace[gsMMode]], &gsMatricies[gsMMode][gsMPlace[gsMMode] + 1] ); gsMPlace[gsMMode]++; gSMatrix = &gsMatricies[gsMMode][gsMPlace[gsMMode]]; } void tdPop() { if( gsMPlace[gsMMode] < 1 ) return; gsMPlace[gsMMode]--; gSMatrix = &gsMatricies[gsMMode][gsMPlace[gsMMode]]; } void tdMode( int mode ) { if( mode < 0 || mode > 1 ) return; gsMMode = mode; gSMatrix = &gsMatricies[gsMMode][gsMPlace[gsMMode]]; } static float translateX; static float translateY; static float scaleX; static float scaleY; void tdSetViewport( float leftx, float topy, float rightx, float bottomy, float pixx, float pixy ) { translateX = leftx; translateY = bottomy; scaleX = pixx/(rightx-leftx); scaleY = pixy/(topy-bottomy); } void tdFinalPoint( float * pin, float * pout ) { float tdin[4] = { pin[0], pin[1], pin[2], 1. }; float tmp[4]; td4Transform( tdin, &gsMatricies[0][gsMPlace[0]], tmp ); // printf( "XFORM1Out: %f %f %f %f\n", tmp[0], tmp[1], tmp[2], tmp[3] ); td4Transform( tmp, &gsMatricies[1][gsMPlace[1]], tmp ); // printf( "XFORM2Out: %f %f %f %f\n", tmp[0], tmp[1], tmp[2], tmp[3] ); pout[0] = (tmp[0]/tmp[3] - translateX) * scaleX; pout[1] = (tmp[1]/tmp[3] - translateY) * scaleY; pout[2] = tmp[2]/tmp[3]; // printf( "XFORMFOut: %f %f %f\n", pout[0], pout[1], pout[2] ); } static inline float tdNoiseAt( int x, int y ) { return ((x*13241 + y * 33455927)%9293) / 9292.; // srand( x + y * 1314); // return ((rand()%1000)/500.) - 1.0; } static inline float tdFade( float f ) { float ft3 = f*f*f; return ft3 * 10 - ft3 * f * 15 + 6 * ft3 * f * f; } float tdFLerp( float a, float b, float t ) { float fr = tdFade( t ); return a * (1.-fr) + b * fr; } static inline float tdFNoiseAt( float x, float y ) { int ix = x; int iy = y; float fx = x - ix; float fy = y - iy; float a = tdNoiseAt( ix, iy ); float b = tdNoiseAt( ix+1, iy ); float c = tdNoiseAt( ix, iy+1 ); float d = tdNoiseAt( ix+1, iy+1 ); float top = tdFLerp( a, b, fx ); float bottom = tdFLerp( c, d, fx ); return tdFLerp( top, bottom, fy ); } float tdPerlin2D( float x, float y ) { int ndepth = 5; int depth; float ret = 0; for( depth = 0; depth < ndepth; depth++ ) { float nx = x / (1<<(ndepth-depth-1)); float ny = y / (1<<(ndepth-depth-1)); ret += tdFNoiseAt( nx, ny ) / (1<<(depth+1)); } return ret; }