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euclid:: third turn space (first try)

This commit is contained in:
Zeno Rogue 2019-11-29 14:15:49 +01:00
parent ba2814a88b
commit 90177343a4
1 changed files with 76 additions and 10 deletions
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86
euclid.cpp
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@ -437,6 +437,16 @@ EX namespace euclid3 {
canonical_seq.push_back(val);
}
EX bool valid_third_turn(const intmatrix& m) {
if(T0[0][2] != -T0[0][0]-T0[0][1]) return false;
if(T0[1][0] != T0[0][1]) return false;
if(T0[1][1] != T0[0][2]) return false;
if(T0[1][2] != T0[0][0]) return false;
if(T0[2][0] != T0[2][1]) return false;
if(T0[2][0] != T0[2][2]) return false;
return true;
}
EX void build_torus3(eGeometry g) {
int dim = ginf[g].g.gameplay_dimension;
@ -497,14 +507,19 @@ EX namespace euclid3 {
twisted = twisted0;
if(dim == 3) {
twisted &= 7;
if(g != gCubeTiling && ((T0[0][0]+T0[2][2]) & 1)) twisted &=~ 1;
if(g != gCubeTiling && ((T0[1][1]+T0[2][2]) & 1)) twisted &=~ 2;
for(int i=0; i<3; i++) for(int j=0; j<3; j++)
if(i != j && T0[i][j]) twisted = 0;
if(T0[2][2] == 0) twisted = 0;
if(T0[0][0] != T0[1][1]) twisted &= 3;
}
if(valid_third_turn(T0)) {
twisted &= 16;
}
else {
twisted &= 7;
if(g != gCubeTiling && ((T0[0][0]+T0[2][2]) & 1)) twisted &=~ 1;
if(g != gCubeTiling && ((T0[1][1]+T0[2][2]) & 1)) twisted &=~ 2;
for(int i=0; i<3; i++) for(int j=0; j<3; j++)
if(i != j && T0[i][j]) twisted = 0;
if(T0[2][2] == 0) twisted = 0;
if(T0[0][0] != T0[1][1]) twisted &= 3;
}
}
else {
twisted &= 8;
twisted_vec = as_gp(T0[1]);
@ -536,8 +551,45 @@ EX namespace euclid3 {
}
gp::loc ort1() { return (S3 == 3 ? gp::loc(1, -2) : gp::loc(0, 1)); }
int diagonal_cross(const array<int, 3>& a, const array<int, 3>& b) {
return a[0]*b[1] + a[1]*b[2] + a[2]*b[0]
- b[0]*a[1] - b[1]*a[2] - b[2]*a[0];
};
EX coord twist(coord x, array<int, 3>& d, transmatrix& M, bool& mirr) {
if(!twisted) return x;
if(twisted & 16) {
int period = T0[2][2];
transmatrix RotYZX = Zero;
RotYZX[0][1] = 1;
RotYZX[1][2] = 1;
RotYZX[2][0] = 1;
RotYZX[3][3] = 1;
auto coo = getcoord(x);
while(true) {
auto coosum = coo[0] + coo[1] + coo[2];
if(coosum >= 3 * period) {
coo[0] -= period, coo[1] -= period, coo[2] -= period;
tie(d[0], d[1], d[2]) = make_tuple(d[1], d[2], d[0]);
M = M * RotYZX;
}
else if(coosum < 0) {
coo[0] += period, coo[1] += period, coo[2] += period;
tie(d[0], d[1], d[2]) = make_tuple(d[2], d[0], d[1]);
M = M * RotYZX * RotYZX;
}
else break;
}
if(ascoord(T0[0])) {
int dcro = diagonal_cross(T0[0], T0[1]);
while(diagonal_cross(coo, T0[1]) < 0) for(int i=0; i<3; i++) coo[i] -= T0[0][i];
while(diagonal_cross(coo, T0[1]) > 0) for(int i=0; i<3; i++) coo[i] += T0[0][i];
while(diagonal_cross(coo, T0[0]) > 0) for(int i=0; i<3; i++) coo[i] -= T0[1][i];
while(diagonal_cross(coo, T0[0]) < 0) for(int i=0; i<3; i++) coo[i] += T0[1][i];
}
return ascoord(coo);
}
if(WDIM == 3) {
auto coo = getcoord(x);
while(coo[2] >= T0[2][2]) {
@ -554,7 +606,7 @@ EX namespace euclid3 {
}
for(int i: {0,1})
if(T0[i][i]) coo[i] = gmod(coo[i], T0[i][i]);
return coo[0] * main_axes[0] + coo[1] * main_axes[1] + coo[2] * main_axes[2];
return ascoord(coo);
}
else {
auto crd = getcoord(x);
@ -590,7 +642,7 @@ EX namespace euclid3 {
}
}
d[0] = d0.first; d[1] = d0.second;
return coo.first * main_axes[0] + coo.second * main_axes[1];
return as_coord(coo);
}
}
@ -838,6 +890,20 @@ EX namespace euclid3 {
shift(); twisted0 = argi();
build_torus3();
}
else if(argis("-twistthird")) {
PHASEFROM(2);
stop_game();
shift(); T0[0][0] = argi();
shift(); T0[0][1] = argi();
shift(); T0[2][0] = argi();
T0[0][2] = -T0[0][0]-T0[0][1];
T0[1][0] = T0[0][1];
T0[1][1] = T0[0][2];
T0[1][2] = T0[0][0];
T0[2][1] = T0[2][2] = argi();
twisted0 = 16;
build_torus3();
}
else if(argis("-twist3")) {
PHASEFROM(2);
stop_game();