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moved circumscribe and other functions from irregular.cpp to hyperpoint.cpp
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@ -1583,4 +1583,66 @@ EX hyperpoint linecross(hyperpoint a, hyperpoint b, hyperpoint c, hyperpoint d)
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return normalize(res);
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}
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EX ld inner2(hyperpoint h1, hyperpoint h2) {
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return
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hyperbolic ? h1[LDIM] * h2[LDIM] - h1[0] * h2[0] - h1[1] * h2[1] :
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sphere ? h1[LDIM] * h2[LDIM] + h1[0] * h2[0] + h1[1] * h2[1] :
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h1[0] * h2[0] + h1[1] * h2[1];
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}
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EX hyperpoint circumscribe(hyperpoint a, hyperpoint b, hyperpoint c) {
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hyperpoint h = C0;
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b = b - a;
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c = c - a;
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if(euclid) {
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ld b2 = inner2(b, b)/2;
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ld c2 = inner2(c, c)/2;
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ld det = c[1]*b[0] - b[1]*c[0];
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h = a;
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h[1] += (c2*b[0] - b2 * c[0]) / det;
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h[0] += (c2*b[1] - b2 * c[1]) / -det;
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return h;
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}
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if(inner2(b,b) < 0) {
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b = b / sqrt(-inner2(b, b));
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c = c + b * inner2(c, b);
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h = h + b * inner2(h, b);
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}
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else {
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b = b / sqrt(inner2(b, b));
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c = c - b * inner2(c, b);
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h = h - b * inner2(h, b);
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}
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if(inner2(c,c) < 0) {
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c = c / sqrt(-inner2(c, c));
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h = h + c * inner2(h, c);
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}
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else {
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c = c / sqrt(inner2(c, c));
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h = h - c * inner2(h, c);
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}
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if(h[LDIM] < 0) h[0] = -h[0], h[1] = -h[1], h[LDIM] = -h[LDIM];
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ld i = inner2(h, h);
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if(i > 0) h /= sqrt(i);
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else h /= -sqrt(-i);
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return h;
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}
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EX bool clockwise(hyperpoint h1, hyperpoint h2) {
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return h1[0] * h2[1] > h1[1] * h2[0];
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}
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}
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@ -42,66 +42,6 @@ EX map<cell*, int> cellindex;
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EX vector<cellinfo> cells;
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ld inner(hyperpoint h1, hyperpoint h2) {
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return
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hyperbolic ? h1[LDIM] * h2[LDIM] - h1[0] * h2[0] - h1[1] * h2[1] :
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sphere ? h1[LDIM] * h2[LDIM] + h1[0] * h2[0] + h1[1] * h2[1] :
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h1[0] * h2[0] + h1[1] * h2[1];
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}
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hyperpoint circumscribe(hyperpoint a, hyperpoint b, hyperpoint c) {
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hyperpoint h = C0;
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b = b - a;
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c = c - a;
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if(euclid) {
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ld b2 = inner(b, b)/2;
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ld c2 = inner(c, c)/2;
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ld det = c[1]*b[0] - b[1]*c[0];
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h = a;
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h[1] += (c2*b[0] - b2 * c[0]) / det;
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h[0] += (c2*b[1] - b2 * c[1]) / -det;
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return h;
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}
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if(inner(b,b) < 0) {
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b = b / sqrt(-inner(b, b));
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c = c + b * inner(c, b);
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h = h + b * inner(h, b);
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}
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else {
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b = b / sqrt(inner(b, b));
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c = c - b * inner(c, b);
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h = h - b * inner(h, b);
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}
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if(inner(c,c) < 0) {
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c = c / sqrt(-inner(c, c));
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h = h + c * inner(h, c);
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}
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else {
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c = c / sqrt(inner(c, c));
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h = h - c * inner(h, c);
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}
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if(h[LDIM] < 0) h[0] = -h[0], h[1] = -h[1], h[LDIM] = -h[LDIM];
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ld i = inner(h, h);
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if(i > 0) h /= sqrt(i);
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else h /= -sqrt(-i);
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return h;
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}
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bool clockwise(hyperpoint h1, hyperpoint h2) {
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return h1[0] * h2[1] > h1[1] * h2[0];
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}
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EX map<heptagon*, vector<int> > cells_of_heptagon;
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int runlevel;
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