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MXDIM, and some extra comments
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50474abae1
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@ -841,8 +841,8 @@ void connectHeptagons(heptspin hi, heptspin hs) {
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/** T and X are supposed to be equal -- move T so that it is closer to X */
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void fixup_matrix(transmatrix& T, const transmatrix& X, ld step) {
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for(int i=0; i<MDIM; i++)
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for(int j=0; j<MDIM; j++)
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for(int i=0; i<MXDIM; i++)
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for(int j=0; j<MXDIM; j++)
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T[i][j] = (T[i][j] * (1-step) + X[i][j] * step);
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/*
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@ -12,14 +12,14 @@ shiftmatrix &ggmatrix(cell *c);
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EX void fixelliptic(transmatrix& at) {
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if(elliptic && at[LDIM][LDIM] < 0) {
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for(int i=0; i<MDIM; i++) for(int j=0; j<MDIM; j++)
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for(int i=0; i<MXDIM; i++) for(int j=0; j<MXDIM; j++)
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at[i][j] = -at[i][j];
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}
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}
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EX void fixelliptic(hyperpoint& h) {
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if(elliptic && h[LDIM] < 0)
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for(int i=0; i<MDIM; i++) h[i] = -h[i];
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for(int i=0; i<MXDIM; i++) h[i] = -h[i];
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}
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/** find relative_matrix via recursing the tree structure */
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11
hyper.h
11
hyper.h
@ -383,16 +383,23 @@ struct videopar {
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extern videopar vid;
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/** \brief How many dimensional is the gameplay. In the FPP mode of a 2D geometry, WDIM is 2 */
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#define WDIM cginf.g.gameplay_dimension
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/** \brief How many dimensional is the graphical representation. In the FPP mode of a 2D geometry, MDIM is 3 */
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#define GDIM cginf.g.graphical_dimension
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/** \brief How many dimensions of the matrix representation are used. It is usually 3 in 2D geometries (not FPP) and in product geometries, 4 in 3D geometries */
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#define MDIM (MAXMDIM == 3 ? 3 : cginf.g.homogeneous_dimension)
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/** \brief What dimension of matrices is used in loops (the 'extra' dimensions have values 0 or 1 as in Id)
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* Even if MDIM==3, it may be faster to keep 4x4 matrices and perform computations using them (rather than having another condition due to the variable loop size).
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* The experiments on my computer show it to be the case, but the effect is not significant, and it may be different on another computer.
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*/
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#define MXDIM (CAP_MDIM_FIXED ? MAXMDIM : MDIM)
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/** \brief The 'homogeneous' dimension index */
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#define LDIM (MDIM-1)
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#define cclass g.kind
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#define self (*this)
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// #define MODFIXER (2*10090080*17)
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#define BUGCOLORS 3
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#define big_unlock (inv::on && !chaosmode)
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@ -59,22 +59,22 @@ struct hyperpoint : array<ld, MAXMDIM> {
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#endif
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inline hyperpoint& operator *= (ld d) {
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for(int i=0; i<MDIM; i++) self[i] *= d;
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for(int i=0; i<MXDIM; i++) self[i] *= d;
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return self;
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}
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inline hyperpoint& operator /= (ld d) {
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for(int i=0; i<MDIM; i++) self[i] /= d;
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for(int i=0; i<MXDIM; i++) self[i] /= d;
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return self;
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}
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inline hyperpoint& operator += (const hyperpoint h2) {
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for(int i=0; i<MDIM; i++) self[i] += h2[i];
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for(int i=0; i<MXDIM; i++) self[i] += h2[i];
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return self;
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}
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inline hyperpoint& operator -= (const hyperpoint h2) {
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for(int i=0; i<MDIM; i++) self[i] -= h2[i];
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for(int i=0; i<MXDIM; i++) self[i] -= h2[i];
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return self;
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}
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@ -99,7 +99,7 @@ struct hyperpoint : array<ld, MAXMDIM> {
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// inner product
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inline friend ld operator | (hyperpoint h1, hyperpoint h2) {
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ld sum = 0;
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for(int i=0; i<MDIM; i++) sum += h1[i] * h2[i];
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for(int i=0; i<MXDIM; i++) sum += h1[i] * h2[i];
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return sum;
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}
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};
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@ -118,18 +118,18 @@ struct transmatrix {
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inline friend hyperpoint operator * (const transmatrix& T, const hyperpoint& H) {
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hyperpoint z;
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for(int i=0; i<MDIM; i++) {
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for(int i=0; i<MXDIM; i++) {
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z[i] = 0;
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for(int j=0; j<MDIM; j++) z[i] += T[i][j] * H[j];
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for(int j=0; j<MXDIM; j++) z[i] += T[i][j] * H[j];
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}
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return z;
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}
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inline friend transmatrix operator * (const transmatrix& T, const transmatrix& U) {
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transmatrix R;
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for(int i=0; i<MDIM; i++) for(int j=0; j<MDIM; j++) {
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for(int i=0; i<MXDIM; i++) for(int j=0; j<MXDIM; j++) {
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R[i][j] = 0;
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for(int k=0; k<MDIM; k++)
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for(int k=0; k<MXDIM; k++)
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R[i][j] += T[i][k] * U[k][j];
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}
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return R;
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@ -490,14 +490,14 @@ EX ld hypot_auto(ld x, ld y) {
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EX hyperpoint normalize(hyperpoint H) {
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if(prod) return H;
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ld Z = zlevel(H);
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for(int c=0; c<MDIM; c++) H[c] /= Z;
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for(int c=0; c<MXDIM; c++) H[c] /= Z;
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return H;
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}
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/** like normalize but makes (ultra)ideal points material */
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EX hyperpoint ultra_normalize(hyperpoint H) {
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if(material(H) <= 0) {
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H[MDIM-1] = hypot_d(MDIM-1, H) + 1e-6;
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H[LDIM] = hypot_d(LDIM, H) + 1e-6;
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}
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return normalize(H);
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}
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@ -531,7 +531,7 @@ EX hyperpoint midz(const hyperpoint& H1, const hyperpoint& H2) {
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ld Z = 2;
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if(!euclid) Z = zlevel(H3) * 2 / (zlevel(H1) + zlevel(H2));
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for(int c=0; c<MDIM; c++) H3[c] /= Z;
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for(int c=0; c<MXDIM; c++) H3[c] /= Z;
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return H3;
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}
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@ -611,8 +611,8 @@ EX transmatrix cpush(int cid, ld alpha) {
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EX transmatrix xpush(ld alpha) { return cpush(0, alpha); }
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EX bool eqmatrix(transmatrix A, transmatrix B, ld eps IS(.01)) {
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for(int i=0; i<MDIM; i++)
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for(int j=0; j<MDIM; j++)
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for(int i=0; i<MXDIM; i++)
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for(int j=0; j<MXDIM; j++)
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if(std::abs(A[i][j] - B[i][j]) > eps)
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return false;
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return true;
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@ -702,7 +702,7 @@ EX transmatrix parabolic13(ld u, ld v) {
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}
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EX hyperpoint parabolic10(hyperpoint h) {
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if(euclid) { h[MDIM] = 1; return h; }
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if(euclid) { h[LDIM] = 1; return h; }
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else if(MDIM == 4) return hyperpoint(sinh(h[0]), h[1]/exp(h[0]), h[2]/exp(h[0]), cosh(h[0]));
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else return hyperpoint(sinh(h[0]), h[1]/exp(h[0]), cosh(h[0]), 0);
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}
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@ -768,18 +768,19 @@ EX transmatrix pushxto0(const hyperpoint& H) {
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/** set the i-th column of T to H */
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EX void set_column(transmatrix& T, int i, const hyperpoint& H) {
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for(int j=0; j<MDIM; j++)
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for(int j=0; j<MXDIM; j++)
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T[j][i] = H[j];
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}
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/** build a matrix using the given vectors as columns */
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EX transmatrix build_matrix(hyperpoint h1, hyperpoint h2, hyperpoint h3, hyperpoint h4) {
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transmatrix T;
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for(int i=0; i<MDIM; i++)
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for(int i=0; i<MXDIM; i++) {
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T[i][0] = h1[i],
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T[i][1] = h2[i],
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T[i][2] = h3[i];
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if(MAXMDIM == 4) for(int i=0; i<MDIM; i++) T[i][3] = h4[i];
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if(MAXMDIM == 4) T[i][3] = h4[i];
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}
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return T;
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}
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@ -868,11 +869,11 @@ EX void fixmatrix_euclid(transmatrix& T) {
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EX void orthonormalize(transmatrix& T) {
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for(int x=0; x<MDIM; x++) for(int y=0; y<=x; y++) {
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ld dp = 0;
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for(int z=0; z<MDIM; z++) dp += T[z][x] * T[z][y] * sig(z);
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for(int z=0; z<MXDIM; z++) dp += T[z][x] * T[z][y] * sig(z);
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if(y == x) dp = 1 - sqrt(sig(x)/dp);
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for(int z=0; z<MDIM; z++) T[z][x] -= dp * T[z][y];
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for(int z=0; z<MXDIM; z++) T[z][x] -= dp * T[z][y];
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}
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}
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@ -986,7 +987,7 @@ EX transmatrix ortho_inverse(transmatrix T) {
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/** \brief inverse of an orthogonal matrix in Minkowski space */
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EX transmatrix pseudo_ortho_inverse(transmatrix T) {
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for(int i=1; i<MDIM; i++)
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for(int i=1; i<MXDIM; i++)
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for(int j=0; j<i; j++)
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swap(T[i][j], T[j][i]);
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for(int i=0; i<MDIM-1; i++)
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@ -1127,7 +1128,7 @@ EX hyperpoint mscale(const hyperpoint& t, double fac) {
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if(GDIM == 3 && !prod) return cpush(2, fac) * t;
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if(prod) fac = exp(fac);
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hyperpoint res;
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for(int i=0; i<MDIM; i++)
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for(int i=0; i<MXDIM; i++)
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res[i] = t[i] * fac;
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return res;
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}
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@ -1143,8 +1144,12 @@ EX transmatrix mscale(const transmatrix& t, double fac) {
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}
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if(prod) fac = exp(fac);
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transmatrix res;
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for(int i=0; i<MDIM; i++) for(int j=0; j<MDIM; j++)
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res[i][j] = t[i][j] * fac;
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for(int i=0; i<MXDIM; i++) {
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for(int j=0; j<MDIM; j++)
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res[i][j] = t[i][j] * fac;
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for(int j=MDIM; j<MXDIM; j++)
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res[i][j] = t[i][j];
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}
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return res;
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}
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@ -1154,17 +1159,25 @@ EX shiftmatrix mscale(const shiftmatrix& t, double fac) {
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EX transmatrix xyscale(const transmatrix& t, double fac) {
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transmatrix res;
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for(int i=0; i<MDIM; i++) for(int j=0; j<GDIM; j++)
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res[i][j] = t[i][j] * fac;
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for(int i=0; i<MXDIM; i++) {
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for(int j=0; j<GDIM; j++)
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res[i][j] = t[i][j] * fac;
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for(int j=GDIM; j<MXDIM; j++)
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res[i][j] = t[i][j];
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}
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return res;
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}
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EX transmatrix xyzscale(const transmatrix& t, double fac, double facz) {
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transmatrix res;
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for(int i=0; i<MDIM; i++) for(int j=0; j<GDIM; j++)
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res[i][j] = t[i][j] * fac;
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for(int i=0; i<MDIM; i++)
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res[i][LDIM] = t[i][LDIM] * facz;
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for(int i=0; i<MXDIM; i++) {
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for(int j=0; j<GDIM; j++)
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res[i][j] = t[i][j] * fac;
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res[i][LDIM] =
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t[i][LDIM] * facz;
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for(int j=LDIM+1; j<MXDIM; j++)
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res[i][j] = t[i][j];
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}
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return res;
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}
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@ -1181,7 +1194,7 @@ EX transmatrix mzscale(const transmatrix& t, double fac) {
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transmatrix res = t * inverse(tcentered) * ypush(-fac) * tcentered;
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fac *= .2;
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fac += 1;
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for(int i=0; i<MDIM; i++) for(int j=0; j<MDIM; j++)
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for(int i=0; i<MXDIM; i++) for(int j=0; j<MXDIM; j++)
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res[i][j] = res[i][j] * fac;
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return res;
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}
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@ -1300,8 +1313,8 @@ EX ld ortho_error(transmatrix T) {
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EX transmatrix transpose(transmatrix T) {
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transmatrix result;
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for(int i=0; i<MDIM; i++)
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for(int j=0; j<MDIM; j++)
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for(int i=0; i<MXDIM; i++)
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for(int j=0; j<MXDIM; j++)
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result[j][i] = T[i][j];
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return result;
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}
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@ -1340,7 +1353,7 @@ inline hyperpoint zpush0(ld x) { return cpush0(2, x); }
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/** T * C0, optimized */
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inline hyperpoint tC0(const transmatrix &T) {
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hyperpoint z;
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for(int i=0; i<MDIM; i++) z[i] = T[i][LDIM];
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for(int i=0; i<MXDIM; i++) z[i] = T[i][LDIM];
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return z;
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}
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@ -755,7 +755,7 @@ EX transmatrix track_matrix(int at, int dir) {
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transmatrix res = unshift(ggmatrix(racing::track[at]));
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while(true) {
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if(at+dir < 0 || at+dir >= isize(racing::track)) return res;
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for(int x=0; x<MDIM; x++) for(int y=0; y<MDIM; y++)
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for(int x=0; x<MXDIM; x++) for(int y=0; y<MXDIM; y++)
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if(abs(res[y][x]) > 10000) return res;
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cell *cur = racing::track[at];
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at += dir;
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2
rug.cpp
2
rug.cpp
@ -631,7 +631,7 @@ bool force(rugpoint& m1, rugpoint& m2, double rd, bool is_anticusp=false, double
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transmatrix iT = rgpushxto0(m1.native);
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for(int i=0; i<MDIM; i++) if(std::isnan(m1.native[i])) {
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for(int i=0; i<MXDIM; i++) if(std::isnan(m1.native[i])) {
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addMessage("Failed!");
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println(hlog, "m1 = ", m1.native);
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throw rug_exception();
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@ -612,7 +612,7 @@ EX void glapplymatrix(const transmatrix& V) {
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GLfloat mat[16];
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int id = 0;
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if(MDIM == 3) {
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if(MXDIM == 3) {
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for(int y=0; y<3; y++) {
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for(int x=0; x<3; x++) mat[id++] = V[x][y];
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mat[id++] = 0;
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@ -185,6 +185,10 @@
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#define MAXMDIM 4
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#endif
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#ifndef CAP_MDIM_FIXED
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#define CAP_MDIM_FIXED 0
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#endif
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#ifndef CAP_TEXTURE
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#define CAP_TEXTURE (CAP_GL && (CAP_PNG || CAP_SDL_IMG) && !ISMINI)
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#endif
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