diff --git a/coxeter_group_orbits/ay4me/analysis.cc b/coxeter_group_orbits/ay4me/analysis.cc new file mode 100644 index 0000000..d11f9b5 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis.cc @@ -0,0 +1,200 @@ +/* Copyright (c) 2015 + Julian Pfeifle + julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + +#include "orbit.h" +#include +#include +#include + +// int power(int n, int e) +// { +// int p = n; +// while (e>1) +// { +// p = p*n; +// e = e-1; +// } +// return p; +// } + +int createOrbit(std::function generatingFunction,VectorType point) +{ + Orbit generatedOrbit; + GeneratorList generators; + generatingFunction(point.size(),generators); + generatedOrbit = orbit(generators,point); + return generatedOrbit.size(); +} + +int createOrbit(std::function generatingFunction,VectorType point) +{ + Orbit generatedOrbit; + GeneratorList generators; + generatingFunction(generators); + generatedOrbit = orbit(generators,point); + return generatedOrbit.size(); +} + +void analysis_out(std::ofstream& file, int coxeter_orbit, int coxeter_orbit_computed, std::string coxeter_name, double runtime) +{ + file << coxeter_name; + file << "\n got: "; + file << coxeter_orbit_computed; + file << " wanted: "; + file << coxeter_orbit; + file << "\n"; + file << "runtime: "; + file << runtime; + file << "\n\n"; + file << std::flush; +} + +int main() +{ + clock_t start; + clock_t stop; + double runtime = 0.0; + + std::ofstream file; + file.open ("analysis_output.txt"); + + //B3 + assert((start = clock())!=-1); + int b3 = createOrbit(generateB, {1,2,3}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,3) * factorial(3), b3, "B3", runtime); + + //D3 + assert((start = clock())!=-1); + int d3 = createOrbit(generateD, {1,2,3}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,3-1) * factorial(3), d3, "D3", runtime); + + //B4 + assert((start = clock())!=-1); + int b4 = createOrbit(generateB, {1,2,3,4}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,4) * factorial(4), b4, "B4", runtime); + + //D4 + assert((start = clock())!=-1); + int d4 = createOrbit(generateD, {1,2,3,4}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,4-1) * factorial(4), d4, "D4", runtime); + + //B5 + assert((start = clock())!=-1); + int b5 = createOrbit(generateB, {1,2,3,4,5}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,5) * factorial(5), b5, "B5", runtime); + + //D5 + assert((start = clock())!=-1); + int d5 = createOrbit(generateD, {1,2,3,4,5}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,5-1) * factorial(5), d5, "D5", runtime); + + //B6 + assert((start = clock())!=-1); + int b6 = createOrbit(generateB, {1,2,3,4,5,6}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,6) * factorial(6), b6, "B6", runtime); + + //D6 + assert((start = clock())!=-1); + int d6 = createOrbit(generateD, {1,2,3,4,5,6}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,6-1) * factorial(6), d6, "D6", runtime); + + //B7 + assert((start = clock())!=-1); + int b7 = createOrbit(generateB, {1,2,3,4,5,6,7}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,7) * factorial(7), b7, "B7", runtime); + + //D7 + assert((start = clock())!=-1); + int d7 = createOrbit(generateD, {1,2,3,4,5,6,7}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,7-1) * factorial(7), d7, "D7", runtime); + + //E6 + assert((start = clock())!=-1); + int e6 = createOrbit(generateE6, {1,2,3,4,5,6}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 51840, e6, "E6", runtime); + + //F4 + assert((start = clock())!=-1); + int f4 = createOrbit(generateF4, {1,-3,5,-4}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 1152, f4, "F4", runtime); + + //H3 + assert((start = clock())!=-1); + int h3 = createOrbit(generateH3, {1,2,3}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 120, h3, "H3", runtime); + + //E7 + assert((start = clock())!=-1); + int e7 = createOrbit(generateE7, {1,2,3,4,5,6,7}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 2903040, e7, "E7", runtime); + + //H4 + assert((start = clock())!=-1); + int h4 = createOrbit(generateH4, {1,2,3,4}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 14400, h4, "H4", runtime); + + //B8 + assert((start = clock())!=-1); + int b8 = createOrbit(generateB, {1,2,3,4,5,6,7,8}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,8) * factorial(8), b8, "B8", runtime); + + //D8 + assert((start = clock())!=-1); + int d8 = createOrbit(generateD, {1,2,3,4,5,6,7,8}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, power(2,8-1) * factorial(8), d8, "D8", runtime); + + //E8 + assert((start = clock())!=-1); + int e8 = createOrbit(generateE8, {1,2,3,4,5,6,7,8}); + stop = clock(); + runtime = (double) (stop - start) / CLOCKS_PER_SEC; + analysis_out(file, 696729600, e8, "E8", runtime); +} diff --git a/coxeter_group_orbits/ay4me/analysis_input.txt b/coxeter_group_orbits/ay4me/analysis_input.txt new file mode 100644 index 0000000..abd0288 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis_input.txt @@ -0,0 +1,23 @@ +B3 + +D3 + +B4 + +D4 + +B5 + +D5 + +B6 + +D6 + +B7 + +D7 + +B8 + +D8 diff --git a/coxeter_group_orbits/ay4me/analysis_output_1.txt b/coxeter_group_orbits/ay4me/analysis_output_1.txt new file mode 100644 index 0000000..eef5767 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis_output_1.txt @@ -0,0 +1,52 @@ +B3: + got: 48 wanted: 48 +runtime: 0.00035 + +D3: + got: 24 wanted: 24 +runtime: 0.00016 + +B4: + got: 384 wanted: 384 +runtime: 0.004984 + +D4: + got: 192 wanted: 192 +runtime: 0.002171 + +B5: + got: 3840 wanted: 3840 +runtime: 0.044838 + +D5: + got: 1920 wanted: 1920 +runtime: 0.02055 + +B6: + got: 46080 wanted: 46080 +runtime: 0.81995 + +D6: + got: 23040 wanted: 23040 +runtime: 0.391698 + +B7: + got: 645120 wanted: 645120 +runtime: 17.2284 + +D7: + got: 322560 wanted: 322560 +runtime: 8.28036 + +E6: + got: 74880 wanted: 51840 +runtime: 1.5129 + +F4: + got: 1152 wanted: 1152 +runtime: 0.008829 + +H3: + got: 120 wanted: 120 +runtime: 0.000566 + diff --git a/coxeter_group_orbits/ay4me/analysis_output_15_07_08.txt b/coxeter_group_orbits/ay4me/analysis_output_15_07_08.txt new file mode 100644 index 0000000..b16a416 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis_output_15_07_08.txt @@ -0,0 +1,60 @@ +B3 + got: 48 wanted: 48 +runtime: 0.000255 + +D3 + got: 24 wanted: 24 +runtime: 0.000101 + +B4 + got: 384 wanted: 384 +runtime: 0.002779 + +D4 + got: 192 wanted: 192 +runtime: 0.001229 + +B5 + got: 3840 wanted: 3840 +runtime: 0.046652 + +D5 + got: 1920 wanted: 1920 +runtime: 0.021272 + +B6 + got: 46080 wanted: 46080 +runtime: 0.896462 + +D6 + got: 23040 wanted: 23040 +runtime: 0.42163 + +B7 + got: 645120 wanted: 645120 +runtime: 19.8215 + +D7 + got: 322560 wanted: 322560 +runtime: 9.28447 + +E6 + got: 51840 wanted: 51840 +runtime: 1.09614 + +F4 + got: 1152 wanted: 1152 +runtime: 0.00896 + +H3 + got: 120 wanted: 120 +runtime: 0.000516 + +E7 + got: 2903040 wanted: 2903040 +runtime: 90.8309 + +H4 + got: 14400 wanted: 14400 +runtime: 0.254168 + diff --git a/coxeter_group_orbits/ay4me/analysis_output_2.txt b/coxeter_group_orbits/ay4me/analysis_output_2.txt new file mode 100644 index 0000000..e1aeb45 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis_output_2.txt @@ -0,0 +1,64 @@ +B3 + got: 48 wanted: 48 +runtime: 0.000442 + +D3 + got: 24 wanted: 24 +runtime: 0.000192 + +B4 + got: 384 wanted: 384 +runtime: 0.004738 + +D4 + got: 192 wanted: 192 +runtime: 0.001974 + +B5 + got: 3840 wanted: 3840 +runtime: 0.045454 + +D5 + got: 1920 wanted: 1920 +runtime: 0.020902 + +B6 + got: 46080 wanted: 46080 +runtime: 0.823865 + +D6 + got: 23040 wanted: 23040 +runtime: 0.392111 + +B7 + got: 645120 wanted: 645120 +runtime: 17.4023 + +D7 + got: 322560 wanted: 322560 +runtime: 8.18526 + +E6 + got: 74880 wanted: 51840 +runtime: 1.47271 + +F4 + got: 1152 wanted: 1152 +runtime: 0.008525 + +H3 + got: 120 wanted: 120 +runtime: 0.000536 + +D8 + got: 5160960 wanted: 5160960 +runtime: 196.681 + +E7 + got: 5437440 wanted: 2903040 +runtime: 189.31 + +B8 + got: 10321920 wanted: 10321920 +runtime: 412.031 + diff --git a/coxeter_group_orbits/ay4me/analysis_output_3.txt b/coxeter_group_orbits/ay4me/analysis_output_3.txt new file mode 100644 index 0000000..f65e541 --- /dev/null +++ b/coxeter_group_orbits/ay4me/analysis_output_3.txt @@ -0,0 +1,60 @@ +B3 + got: 48 wanted: 48 +runtime: 0.000519 + +D3 + got: 24 wanted: 24 +runtime: 0.000198 + +B4 + got: 384 wanted: 384 +runtime: 0.005236 + +D4 + got: 192 wanted: 192 +runtime: 0.002428 + +B5 + got: 3840 wanted: 3840 +runtime: 0.047172 + +D5 + got: 1920 wanted: 1920 +runtime: 0.021503 + +B6 + got: 46080 wanted: 46080 +runtime: 0.837937 + +D6 + got: 23040 wanted: 23040 +runtime: 0.397108 + +B7 + got: 645120 wanted: 645120 +runtime: 17.814 + +D7 + got: 322560 wanted: 322560 +runtime: 8.48889 + +E6 + got: 74880 wanted: 51840 +runtime: 1.58248 + +F4 + got: 1152 wanted: 1152 +runtime: 0.009047 + +H3 + got: 120 wanted: 120 +runtime: 0.000589 + +D8 + got: 5160960 wanted: 5160960 +runtime: 196.681 + +E7 + got: 5437440 wanted: 2903040 +runtime: 189.31 + diff --git a/coxeter_group_orbits/ay4me/file.txt b/coxeter_group_orbits/ay4me/file.txt index 0f08b58..23cf73c 100644 --- a/coxeter_group_orbits/ay4me/file.txt +++ b/coxeter_group_orbits/ay4me/file.txt @@ -1,2 +1,2 @@ -D4 -{1 2 3 4} +H4 +{1 2.4 3 3.8} diff --git a/coxeter_group_orbits/ay4me/orbit.h b/coxeter_group_orbits/ay4me/orbit.h index ddfcc69..fd88402 100644 --- a/coxeter_group_orbits/ay4me/orbit.h +++ b/coxeter_group_orbits/ay4me/orbit.h @@ -1,6 +1,7 @@ /* Copyright (c) 2015 Julian Pfeifle julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the @@ -26,6 +27,8 @@ #include #include #include +#include + class NotImplementedException : public std::exception {}; class InvalidInputException : public std::logic_error { @@ -39,60 +42,39 @@ class InvalidGeneratorException : public std::logic_error { InvalidGeneratorException(const std::string& s):std::logic_error(s) {}; }; -const static double epsilon = 0.00001; - -template -T relativeError(const std::vector& x, const std::vector& y) -{ - if (x.size() != y.size()) - { - throw std::logic_error("Comparison between vectors of different size."); - } - std::vector diff(x.size()); - for (std::size_t i=0;i < x.size();++i) - { - diff[i] = x[i]-y[i]; - } - T maxDiff = 0.0; - T maxVal = 0.0; - for (std::size_t i=0;i < x.size();++i) - { - if (std::fabs(diff[i]) >std::fabs(maxDiff)) - { - maxDiff = std::fabs(diff[i]); - } - if (std::fabs(x[i]) > std::fabs(maxVal)) - { - maxVal = std::fabs(x[i]); - } - } - if (maxVal == 0.0) - { - return maxDiff; - } - return maxDiff/maxVal; -} +//const static double epsilon = 1e-20; +const static long double epsilon = 1e-10; +/* +comparison function, that lexicographical checks two vectors on equality allowing a componentwise error of epsilon +*/ template struct ImpreciseComp{ bool operator()(const std::vector& x, const std::vector& y) const { - if (relativeError(x,y) < epsilon) + if (x.size() != y.size()) { - return false; + throw std::logic_error("Comparison between vectors of different size."); } - return x < y; + for (std::size_t i=0 ; i < x.size() ; ++i) + { + if (std::fabs(x[i] - y[i]) > epsilon) + { + return x[i] < y[i]; + } + } + return false; } }; -typedef double NumberType; // this probably isn't going to work +typedef long double NumberType; // this probably isn't going to work typedef std::vector VectorType; typedef std::vector GeneratorList; -typedef std::set> Orbit; +typedef std::set> Orbit; void out(std::ostream& file,const Orbit& solution, bool outputOrbit); -GeneratorList simple_roots(char type, std::size_t dim) +GeneratorList simple_roots(char type, std::size_t dim) //actually only needed for the original tests not for the program functionality { switch(type) { case 'b': @@ -178,12 +160,86 @@ void generateD(std::size_t dim, GeneratorList& generators) } } +void generateE6(GeneratorList& generators) +{ + VectorType v(6); + for (int i=0; i<5; ++i) + v[i] = -0.5; + v[5] = 0.5 * sqrt(3); + generateD(5, generators); + for (int i=0; i<5; ++i) + generators[i].push_back(0); + generators.push_back(v); +} + +void generateE7(GeneratorList& generators) +{ + VectorType v(7); + for (int i=0; i<6; ++i) + v[i] = -0.5; + v[6] = 0.5 * sqrt(2); + generateD(6, generators); + for (int i=0; i<6; ++i) + generators[i].push_back(0); + generators.push_back(v); +} + +void generateE8(GeneratorList& generators) +{ + VectorType v(8); + for (int i=0; i<8; ++i) + v[i] = -0.5; + generateD(7,generators); + for (int i=0; i<7; ++i) + generators[i].push_back(0); + generators.push_back(v); +} + +void generateF4(GeneratorList& generators) +{ + generators.resize(4,VectorType(4)); + generators[0][0] = generators[1][1] = generators[2][2] = 1; + generators[0][1] = generators[1][2] = -1; + generators[3][0] = generators[3][1] = generators[3][2] = generators[3][3] = -0.5; +} + +void generateG2(GeneratorList& generators) +{ + generators.resize(2,VectorType(3)); + generators[0][0] = 1; + generators[0][1] = generators[1][0] = generators[1][2] = -1; + generators[1][1] = 2; +} + +void generateH3(GeneratorList& generators) +{ + const NumberType tau(0.5 + 0.5 * sqrt(5)); // golden ratio + generators.resize(3,VectorType(3)); + generators[0][0] = generators[2][2] = 2; + generators[1][0] = -tau; + generators[1][1] = tau - 1; + generators[1][2] = -1; +} + +void generateH4(GeneratorList& generators) +{ + const NumberType tau(0.5 + 0.5 * sqrt(5)); // golden ratio + generators.resize(4, VectorType(4)); + generators[0][0] = (1+tau) * 0.5; + generators[0][1] = generators[0][2] = generators[0][3] = (1-tau) * 0.5; + for (int i=0; i<3; ++i) + { + generators[i+1][i] = -1; + generators[i+1][i+1] = 1; + } +} + void input(std::string filename, VectorType& point, GeneratorList& generators) { std::ifstream input( filename ); std::string line; getline( input, line ); - //process first line + //process first line if(line.length() < 2) { throw InvalidInputException("No valid coxeter."); @@ -204,12 +260,47 @@ void input(std::string filename, VectorType& point, GeneratorList& generators) generateD(dim, generators); break; case 'E': + switch(dim) { + case 6: + generateE6(generators); + break; + case 7: + generateE7(generators); + break; + case 8: + generateE8(generators); + break; + default: + throw InvalidInputException("E with wrong dimension number."); + } break; case 'F': + if (dim != 4) + { + throw InvalidInputException("F with wrong dimension number."); + } + generateF4(generators); break; case 'G': + if (dim != 2) + { + throw InvalidInputException("G with wrong dimension number."); + } + generateG2(generators); break; case 'H': + if( dim != 3 && dim != 4) + { + throw InvalidInputException("H with wrong dimension number."); + } + else if(dim == 3) + { + generateH3(generators); + } + else + { + generateH4(generators); + } break; case 'I': break; @@ -246,11 +337,17 @@ int factorial(int n) return factorial(n-1)*n; } +/* +determines whether d is a divisor of n +*/ bool divisor(int d, int n) { return n%d == 0; } +/* +checks whether the computed orbit size is a divisor of the maximum orbit size +*/ void sanityCheck(int orbitSize, std::string filename) { std::ifstream input( filename ); @@ -310,16 +407,47 @@ void sanityCheck(int orbitSize, std::string filename) } } +NumberType innerProduct(const VectorType& v1, const VectorType& v2) +{ + NumberType init = 0.0; + + return std::inner_product(v1.begin(),v1.end(),v2.begin(),init); +} + +int power(int n, int e) +{ + int p = n; + while (e>1) + { + p = p*n; + e = e-1; + } + return p; +} + +bool qualityCheck(VectorType& v, GeneratorList& generators) +{ + NumberType x; + NumberType failure_factor = 1e-20; + //NumberType failure_factor = 1.000000000000000000000000000001; + size_t k = generators.size(); //maximum mirroring actions + for(const auto& plane : generators) + { + x = innerProduct(v,plane) / innerProduct(plane,plane); + if (x < power(failure_factor,k)*epsilon) + { + return false; + } + } + return true; +} + VectorType mirror(const VectorType& v, const VectorType& plane) { - //mirror v on plane discribed by vector plane - double init = 0; - double init2 = 0; VectorType help(v.size()); for (std::size_t i = 0; i> unmirroredPoints = {v}; + std::set> unmirroredPoints = {v}; + std::set>::iterator it; while(!unmirroredPoints.empty()) { - // std::set::iterator it = unmirroredPoints.begin(); - // currentPoint = *it; - const VectorType& currentPoint(*(unmirroredPoints.begin())); - history.insert(currentPoint); + it = unmirroredPoints.begin(); for(const auto& plane : generators) { - VectorType mirroredPoint = mirror(currentPoint,plane); - //mirroredPoint = mirror(currentPoint,plane); + VectorType mirroredPoint = mirror(*it,plane); if(history.find(mirroredPoint) == history.end()) { unmirroredPoints.insert(mirroredPoint); } } - unmirroredPoints.erase(currentPoint); + history.insert(*it); + unmirroredPoints.erase(it); } - return; } Orbit orbit(const GeneratorList& generators, const VectorType& v) @@ -374,7 +484,6 @@ Orbit orbit(const GeneratorList& generators, const VectorType& v) return solution; } - void out(std::ostream& file,const Orbit& solution, bool outputOrbit) { if(outputOrbit) diff --git a/coxeter_group_orbits/ay4me/out.txt b/coxeter_group_orbits/ay4me/out.txt index 7862220..db2cea4 100644 --- a/coxeter_group_orbits/ay4me/out.txt +++ b/coxeter_group_orbits/ay4me/out.txt @@ -1,195 +1,14403 @@ { - {-4 -3 -2 -1} - {-4 -3 -1 -2} - {-4 -3 1 2} - {-4 -3 2 1} - {-4 -2 -3 -1} - {-4 -2 -1 -3} - {-4 -2 1 3} - {-4 -2 3 1} - {-4 -1 -3 -2} - {-4 -1 -2 -3} - {-4 -1 2 3} - {-4 -1 3 2} - {-4 1 -3 2} - {-4 1 -2 3} - {-4 1 2 -3} - {-4 1 3 -2} - {-4 2 -3 1} - {-4 2 -1 3} - {-4 2 1 -3} - {-4 2 3 -1} - {-4 3 -2 1} - {-4 3 -1 2} - {-4 3 1 -2} - {-4 3 2 -1} - {-3 -4 -2 -1} - {-3 -4 -1 -2} - {-3 -4 1 2} - {-3 -4 2 1} - {-3 -2 -4 -1} - {-3 -2 -1 -4} - {-3 -2 1 4} - {-3 -2 4 1} - {-3 -1 -4 -2} - {-3 -1 -2 -4} - {-3 -1 2 4} - {-3 -1 4 2} - {-3 1 -4 2} - {-3 1 -2 4} - {-3 1 2 -4} - {-3 1 4 -2} - {-3 2 -4 1} - {-3 2 -1 4} - {-3 2 1 -4} - {-3 2 4 -1} - {-3 4 -2 1} - {-3 4 -1 2} - {-3 4 1 -2} - {-3 4 2 -1} - {-2 -4 -3 -1} - {-2 -4 -1 -3} - {-2 -4 1 3} - {-2 -4 3 1} - {-2 -3 -4 -1} - {-2 -3 -1 -4} - {-2 -3 1 4} - {-2 -3 4 1} - {-2 -1 -4 -3} - {-2 -1 -3 -4} - {-2 -1 3 4} - {-2 -1 4 3} - {-2 1 -4 3} - {-2 1 -3 4} - {-2 1 3 -4} - {-2 1 4 -3} - {-2 3 -4 1} - {-2 3 -1 4} - {-2 3 1 -4} - {-2 3 4 -1} - {-2 4 -3 1} - {-2 4 -1 3} - {-2 4 1 -3} - {-2 4 3 -1} - {-1 -4 -3 -2} - {-1 -4 -2 -3} - {-1 -4 2 3} - {-1 -4 3 2} - {-1 -3 -4 -2} - {-1 -3 -2 -4} - {-1 -3 2 4} - {-1 -3 4 2} - {-1 -2 -4 -3} - {-1 -2 -3 -4} - {-1 -2 3 4} - {-1 -2 4 3} - {-1 2 -4 3} - {-1 2 -3 4} - {-1 2 3 -4} - {-1 2 4 -3} - {-1 3 -4 2} - {-1 3 -2 4} - {-1 3 2 -4} - {-1 3 4 -2} - {-1 4 -3 2} - {-1 4 -2 3} - {-1 4 2 -3} - {-1 4 3 -2} - {1 -4 -3 2} - {1 -4 -2 3} - {1 -4 2 -3} - {1 -4 3 -2} - {1 -3 -4 2} - {1 -3 -2 4} - {1 -3 2 -4} - {1 -3 4 -2} - {1 -2 -4 3} - {1 -2 -3 4} - {1 -2 3 -4} - {1 -2 4 -3} - {1 2 -4 -3} - {1 2 -3 -4} - {1 2 3 4} - {1 2 4 3} - {1 3 -4 -2} - {1 3 -2 -4} - {1 3 2 4} - {1 3 4 2} - {1 4 -3 -2} - {1 4 -2 -3} - {1 4 2 3} - {1 4 3 2} - {2 -4 -3 1} - {2 -4 -1 3} - {2 -4 1 -3} - {2 -4 3 -1} - {2 -3 -4 1} - {2 -3 -1 4} - {2 -3 1 -4} - {2 -3 4 -1} - {2 -1 -4 3} - {2 -1 -3 4} - {2 -1 3 -4} - {2 -1 4 -3} - {2 1 -4 -3} - {2 1 -3 -4} - {2 1 3 4} - {2 1 4 3} - {2 3 -4 -1} - {2 3 -1 -4} - {2 3 1 4} - {2 3 4 1} - {2 4 -3 -1} - {2 4 -1 -3} - {2 4 1 3} - {2 4 3 1} - {3 -4 -2 1} - {3 -4 -1 2} - {3 -4 1 -2} - {3 -4 2 -1} - {3 -2 -4 1} - {3 -2 -1 4} - {3 -2 1 -4} - {3 -2 4 -1} - {3 -1 -4 2} - {3 -1 -2 4} - {3 -1 2 -4} - {3 -1 4 -2} - {3 1 -4 -2} - {3 1 -2 -4} - {3 1 2 4} - {3 1 4 2} - {3 2 -4 -1} - {3 2 -1 -4} - {3 2 1 4} - {3 2 4 1} - {3 4 -2 -1} - {3 4 -1 -2} - {3 4 1 2} - {3 4 2 1} - {4 -3 -2 1} - {4 -3 -1 2} - {4 -3 1 -2} - {4 -3 2 -1} - {4 -2 -3 1} - {4 -2 -1 3} - {4 -2 1 -3} - {4 -2 3 -1} - {4 -1 -3 2} - {4 -1 -2 3} - {4 -1 2 -3} - {4 -1 3 -2} - {4 1 -3 -2} - {4 1 -2 -3} - {4 1 2 3} - {4 1 3 2} - {4 2 -3 -1} - {4 2 -1 -3} - {4 2 1 3} - {4 2 3 1} - {4 3 -2 -1} - {4 3 -1 -2} - {4 3 1 2} - {4 3 2 1} + {-5.43435 -0.765654 -0.283688 0.0343459} + {-5.43435 -0.765654 -0.0343459 0.283688} + {-5.43435 -0.765654 0.0343459 -0.283688} + {-5.43435 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redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + #include "orbit.h" #include @@ -12,6 +29,20 @@ int main() std::ofstream file; file.open ("out.txt"); out(file, generatedOrbit, true); + // if(qualityCheck(v, generators)) + // { + // Orbit generatedOrbit = orbit(generators, v); + // //sanityCheck(generatedOrbit.size(),"file.txt"); + // std::ofstream file; + // file.open ("out.txt"); + // out(file, generatedOrbit, true); + // } + // else + // { + // std::ofstream file; + // file.open ("out.txt"); + // file << "The used point is too near to one of the generating hyperplanes. Please choose a different point."; + // } } diff --git a/coxeter_group_orbits/ay4me/test_comp.cc b/coxeter_group_orbits/ay4me/test_comp.cc new file mode 100644 index 0000000..6de8293 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_comp.cc @@ -0,0 +1,84 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + +const static double epsilon = 0.0000001; + +template +T relativeError(const std::vector& x, const std::vector& y) +{ + if (x.size() != y.size()) + { + throw std::logic_error("Comparison between vectors of different size."); + } + std::vector diff(x.size()); + T maxDiff = 0.0; + T maxVal = 0.0; + for (std::size_t i=0;i < x.size();++i) + { + diff[i] = std::fabs(x[i])-std::fabs(y[i]); + if (std::fabs(diff[i]) > maxDiff) + { + maxDiff = std::fabs(diff[i]); + } + if (std::fabs(x[i]) > maxVal) + { + maxVal = std::fabs(x[i]); + } + } + // for (std::size_t i=0;i < x.size();++i) + // { + // diff[i] = std::fabs(x[i])-std::fabs(y[i]); + // } + // T maxDiff = 0.0; + // T maxVal = 0.0; + // for (std::size_t i=0;i < x.size();++i) + // { + // if (std::fabs(diff[i]) > std::fabs(maxDiff)) + // { + // maxDiff = std::fabs(diff[i]); + // } + // if (std::fabs(x[i]) > std::fabs(maxVal)) + // { + // maxVal = std::fabs(x[i]); + // } + // } + if (maxVal == 0.0) + { + return maxDiff; + } + return maxDiff/maxVal; +} + +template +struct ImpreciseComp{ + bool operator()(const std::vector& x, const std::vector& y) const + { + if (relativeError(x,y) < epsilon) + { + return false; + } + return x < y; + } +}; + +typedef double NumberType; // this probably isn't going to work +typedef std::vector VectorType; +typedef std::vector GeneratorList; +typedef std::set> Orbit; + +int main() +{ + Orbit x = {}; + VectorType point1 = {-6.34808, 2.65192, 0.348076 , -4.34808 , -3.34808 , 3.66506}; + VectorType point2 = {-6.34808, 2.65192, 0.348076 , -4.34808 , -3.34808 , 3.66506}; + x.insert(point1); + x.insert(point2); + std::cout << x.size(); +} \ No newline at end of file diff --git a/coxeter_group_orbits/ay4me/test_mirror.cc b/coxeter_group_orbits/ay4me/test_mirror.cc new file mode 100644 index 0000000..86e2a37 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_mirror.cc @@ -0,0 +1,161 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + + +const static double epsilon = 0.1; + + +template +T relativeError(const std::vector& x, const std::vector& y) +{ + if (x.size() != y.size()) + { + std::cout << x.size(); + std::cout << "\n different \n"; + std::cout << y.size(); + throw std::logic_error("Comparison between vectors of different size."); + } + std::vector diff(x.size()); + T maxDiff = 0.0; + T maxVal = 0.0; + for (std::size_t i=0;i < x.size();++i) + { + diff[i] = x[i] - y[i]; + if (std::fabs(diff[i]) > maxDiff) + { + maxDiff = std::fabs(diff[i]); + } + if (std::fabs(x[i]) > maxVal) + { + maxVal = std::fabs(x[i]); + } + } + // for (std::size_t i=0;i < x.size();++i) + // { + // diff[i] = std::fabs(x[i])-std::fabs(y[i]); + // } + // T maxDiff = 0.0; + // T maxVal = 0.0; + // for (std::size_t i=0;i < x.size();++i) + // { + // if (std::fabs(diff[i]) > std::fabs(maxDiff)) + // { + // maxDiff = std::fabs(diff[i]); + // } + // if (std::fabs(x[i]) > std::fabs(maxVal)) + // { + // maxVal = std::fabs(x[i]); + // } + // } + if (maxVal == 0.0) + { + //std::cout << "maximum Value was 0.\n"; + return maxDiff; + } + return maxDiff/maxVal; +} + +template +struct ImpreciseComp{ + bool operator()(const std::vector& x, const std::vector& y) const + { + if (relativeError(x,y) < epsilon) + { + //std::cout << "decided two vectors are not <, due to relativeError.\n"; + //std::cout << relativeError(x,y); + //std::cout << "\n"; + return false; + } + //std::cout << "use normal compare.\n"; + return x < y; + } +}; + +typedef double NumberType; // this probably isn't going to work +typedef std::vector VectorType; +typedef std::vector GeneratorList; +typedef std::set> Orbit; + +VectorType mirror(const VectorType& v, const VectorType& plane) +{ + std::cout << "now mirror:\n"; + std::cout << v.size(); + std::cout << plane.size(); + std::cout << "v:\n"; + std::cout << v[0]; + std::cout << " "; + std::cout << v[1]; + std::cout << " "; + std::cout << v[2]; + std::cout << " "; + std::cout << v[3]; + std::cout << " "; + std::cout << v[4]; + std::cout << " "; + std::cout << v[5]; + std::cout << "\n"; + std::cout << "plane:\n"; + std::cout << plane[0]; + std::cout << " "; + std::cout << plane[1]; + std::cout << " "; + std::cout << plane[2]; + std::cout << " "; + std::cout << plane[3]; + std::cout << " "; + std::cout << plane[4]; + std::cout << " "; + std::cout << plane[5]; + std::cout << "\n"; + //mirror v on plane described by vector plane + //double init = 0.0; + //double init2 = 0.0; + VectorType help(v.size()); + for (std::size_t i = 0; i + +#include "orbit.h" + +struct b3_fixture { + GeneratorList b3generators; + b3_fixture() + : b3generators() + {generateB(3,b3generators); } +}; + +struct d3_fixture { + GeneratorList d3generators; + d3_fixture() + : d3generators() + {generateD(3,d3generators); } +}; + +struct b4_fixture { + GeneratorList b4generators; + b4_fixture() + : b4generators() + {generateB(4,b4generators); } +}; + +struct d4_fixture { + GeneratorList d4generators; + d4_fixture() + : d4generators() + {generateD(4,d4generators); } +}; + +struct b5_fixture { + GeneratorList b5generators; + b5_fixture() + : b5generators() + {generateB(5,b5generators); } +}; + +struct d5_fixture { + GeneratorList d5generators; + d5_fixture() + : d5generators() + {generateD(5,d5generators); } +}; + +struct b6_fixture { + GeneratorList b6generators; + b6_fixture() + : b6generators() + {generateB(6,b6generators); } + ~b6_fixture() {} +}; + +struct d6_fixture { + GeneratorList d6generators; + d6_fixture() + : d6generators() + {generateD(6,d6generators); } + ~d6_fixture() {} +}; + +struct b7_fixture { + GeneratorList b7generators; + b7_fixture() + : b7generators() + {generateB(7,b7generators); } +}; + +struct d7_fixture { + GeneratorList d7generators; + d7_fixture() + : d7generators() + {generateD(7,d7generators); } +}; + + +//B testcases 3-7 +BOOST_FIXTURE_TEST_CASE( b3_orbit_1, b3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b3generators, {1, 2, 3}).size(), (size_t) 48); +} + +BOOST_FIXTURE_TEST_CASE( b3_orbit_2, b3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b3generators, {1, 1, 3}).size(), (size_t) 24); +} + +BOOST_FIXTURE_TEST_CASE( b4_orbit, b4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b4generators, {1, 2, 3, 4}).size(), (size_t) 384); +} + +BOOST_FIXTURE_TEST_CASE( b5_orbit, b5_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b5generators, {1, 2, 3, 4, 5}).size(), (size_t) 3840); +} + +BOOST_FIXTURE_TEST_CASE( b6_orbit, b6_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b6generators, {1, 2, 3, 4, 5, 6}).size(), (size_t) 46080); +} + +BOOST_FIXTURE_TEST_CASE( b7_orbit, b7_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b7generators, {1, 2, 3, 4, 5, 6, 7}).size(), (size_t) 645120); +} + +//D testcases 3-7 +BOOST_FIXTURE_TEST_CASE( d3_orbit_1, d3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d3generators, {1, 2, 3}).size(), (size_t) 24); +} + +BOOST_FIXTURE_TEST_CASE( d3_orbit_2, d3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d3generators, {1, 1, 3}).size(), (size_t) 12); +} + +BOOST_FIXTURE_TEST_CASE( d4_orbit, d4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d4generators, {1, 2, 3, 4}).size(), (size_t) 192); +} + +BOOST_FIXTURE_TEST_CASE( d5_orbit, d5_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d5generators, {1, 2, 3, 4, 5}).size(), (size_t) 1920); +} + +BOOST_FIXTURE_TEST_CASE( d6_orbit, d6_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d6generators, {1, 2, 3, 4, 5, 6}).size(), (size_t) 23040); +} + +BOOST_FIXTURE_TEST_CASE( d7_orbit, d7_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d7generators, {1, 2, 3, 4, 5, 6, 7}).size(), (size_t) 322560); +} diff --git a/coxeter_group_orbits/ay4me/test_orbits_b_d_8.cc b/coxeter_group_orbits/ay4me/test_orbits_b_d_8.cc new file mode 100644 index 0000000..9427f57 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_orbits_b_d_8.cc @@ -0,0 +1,45 @@ +/* Copyright (c) 2015 + Julian Pfeifle + julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + +#define BOOST_TEST_MODULE orbits +#include + +#include "orbit.h" + +struct b8_fixture { + GeneratorList b8generators; + b8_fixture() + : b8generators() + {generateB(8,b8generators); } +}; + +struct d8_fixture { + GeneratorList d8generators; + d8_fixture() + : d8generators() + {generateD(8,d8generators); } +}; + +BOOST_FIXTURE_TEST_CASE( b8_orbit, b8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 10321920); +} + +BOOST_FIXTURE_TEST_CASE( d8_orbit, d8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 5160960); +} \ No newline at end of file diff --git a/coxeter_group_orbits/ay4me/test_orbits_e.cc b/coxeter_group_orbits/ay4me/test_orbits_e.cc new file mode 100644 index 0000000..1e5a379 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_orbits_e.cc @@ -0,0 +1,61 @@ +/* Copyright (c) 2015 + Julian Pfeifle + julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + +#define BOOST_TEST_MODULE orbits +#include + +#include "orbit.h" + +struct e6_fixture { + GeneratorList e6generators; + e6_fixture() + : e6generators() + {generateE6(e6generators); } + ~e6_fixture() {} +}; + +struct e7_fixture { + GeneratorList e7generators; + e7_fixture() + : e7generators() + {generateE7(e7generators); } + ~e7_fixture() {} +}; + +struct e8_fixture { + GeneratorList e8generators; + e8_fixture() + : e8generators() + {generateE8(e8generators); } + ~e8_fixture() {} +}; + + +BOOST_FIXTURE_TEST_CASE( e6_orbit, e6_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(e6generators, {1, 2, 3, 4, 5, 6}).size(), (size_t) 51840); +} + +BOOST_FIXTURE_TEST_CASE( e7_orbit, e7_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(e7generators, {1, 2, 3, 4, 5, 6, 7}).size(), (size_t) 2903040); +} + +BOOST_FIXTURE_TEST_CASE( e8_orbit, e8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(e8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 696729600); +} \ No newline at end of file diff --git a/coxeter_group_orbits/ay4me/test_orbits_e_8.cc b/coxeter_group_orbits/ay4me/test_orbits_e_8.cc new file mode 100644 index 0000000..10b9eb9 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_orbits_e_8.cc @@ -0,0 +1,37 @@ +/* Copyright (c) 2015 + Julian Pfeifle + julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + +#define BOOST_TEST_MODULE orbits +#include + +#include "orbit.h" + + +struct e8_fixture { + GeneratorList e8generators; + e8_fixture() + : e8generators() + {generateE8(e8generators); } + ~e8_fixture() {} +}; + + + +BOOST_FIXTURE_TEST_CASE( e8_orbit, e8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(e8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 696729600); +} \ No newline at end of file diff --git a/coxeter_group_orbits/ay4me/test_orbits_h.cc b/coxeter_group_orbits/ay4me/test_orbits_h.cc new file mode 100644 index 0000000..7373ed0 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_orbits_h.cc @@ -0,0 +1,53 @@ +/* Copyright (c) 2015 + Julian Pfeifle + julian.pfeifle@upc.edu + meike.hatzel@tu-berlin.de + + This program is free software; you can redistribute it and/or modify it + under the terms of the GNU General Public License as published by the + Free Software Foundation; either version 3, or (at your option) any + later version: http://www.gnu.org/licenses/gpl.txt. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. +-------------------------------------------------------------------------------- +*/ + +#define BOOST_TEST_MODULE orbits +#include + +#include "orbit.h" + +struct h3_fixture { + GeneratorList h3generators; + h3_fixture() + : h3generators() + {generateH3(h3generators); } + ~h3_fixture() {} +}; + +struct h4_fixture { + GeneratorList h4generators; + h4_fixture() + : h4generators() + {generateH4(h4generators); } + ~h4_fixture() {} +}; + + +BOOST_FIXTURE_TEST_CASE( h3_orbit, h3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(h3generators, {1, 2, 3}).size(), (size_t) 120); +} + +BOOST_FIXTURE_TEST_CASE( h4_orbit_1, h4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(h4generators, {1, 2, 3, 4}).size(), (size_t) 14400); +} + +BOOST_FIXTURE_TEST_CASE( h4_orbit_2, h4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(h4generators, {1, 2.4, 3, 3.8}).size(), (size_t) 14400); +} diff --git a/coxeter_group_orbits/ay4me/test_orbits_own.cc b/coxeter_group_orbits/ay4me/test_orbits_own.cc new file mode 100644 index 0000000..fe45124 --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_orbits_own.cc @@ -0,0 +1,181 @@ +#define BOOST_TEST_MODULE orbits +#include + +#include "orbit.h" + +struct b3_fixture { + GeneratorList b3generators; + b3_fixture() + : b3generators() + {generateB(3,b3generators); } +}; + +struct d3_fixture { + GeneratorList d3generators; + d3_fixture() + : d3generators() + {generateD(3,d3generators); } +}; + +struct b4_fixture { + GeneratorList b4generators; + b4_fixture() + : b4generators() + {generateB(4,b4generators); } +}; + +struct d4_fixture { + GeneratorList d4generators; + d4_fixture() + : d4generators() + {generateD(4,d4generators); } +}; + +struct b5_fixture { + GeneratorList b5generators; + b5_fixture() + : b5generators() + {generateB(5,b5generators); } +}; + +struct d5_fixture { + GeneratorList d5generators; + d5_fixture() + : d5generators() + {generateD(5,d5generators); } +}; + +struct b6_fixture { + GeneratorList b6generators; + b6_fixture() + : b6generators() + {generateB(6,b6generators); } +}; + +struct d6_fixture { + GeneratorList d6generators; + d6_fixture() + : d6generators() + {generateD(6,d6generators); } +}; + +struct b7_fixture { + GeneratorList b7generators; + b7_fixture() + : b7generators() + {generateB(7,b7generators); } +}; + +struct d7_fixture { + GeneratorList d7generators; + d7_fixture() + : d7generators() + {generateD(7,d7generators); } +}; + +struct b8_fixture { + GeneratorList b8generators; + b8_fixture() + : b8generators() + {generateB(8,b8generators); } +}; + +struct d8_fixture { + GeneratorList d8generators; + d8_fixture() + : d8generators() + {generateD(8,d8generators); } +}; + +struct e6_fixture { + GeneratorList e6generators; + e6_fixture() + : e6generators() + {generateE6(e6generators); } +}; + +struct e7_fixture { + GeneratorList e7generators; + e7_fixture() + : e7generators() + {generateE7(e7generators); } +}; + +struct e8_fixture { + GeneratorList e8generators; + e8_fixture() + : e8generators() + {generateE8(e8generators); } +}; + +//B testcases 3-8 +BOOST_FIXTURE_TEST_CASE( b3_orbit_1, b3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b3generators, {1, 2, 3}).size(), (size_t) 48); +} + +BOOST_FIXTURE_TEST_CASE( b3_orbit_2, b3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b3generators, {1, 1, 3}).size(), (size_t) 24); +} + +BOOST_FIXTURE_TEST_CASE( b4_orbit, b4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b4generators, {1, 2, 3, 4}).size(), (size_t) 384); +} + +BOOST_FIXTURE_TEST_CASE( b5_orbit, b5_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b5generators, {1, 2, 3, 4, 5}).size(), (size_t) 3840); +} + +BOOST_FIXTURE_TEST_CASE( b6_orbit, b6_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b6generators, {1, 2, 3, 4, 5, 6}).size(), (size_t) 46080); +} + +BOOST_FIXTURE_TEST_CASE( b7_orbit, b7_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b7generators, {1, 2, 3, 4, 5, 6, 7}).size(), (size_t) 645120); +} + +BOOST_FIXTURE_TEST_CASE( b8_orbit, b8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(b8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 10321920); +} + +//D testcases 3-8 +BOOST_FIXTURE_TEST_CASE( d3_orbit_1, d3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d3generators, {1, 2, 3}).size(), (size_t) 24); +} + +BOOST_FIXTURE_TEST_CASE( d3_orbit_2, d3_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d3generators, {1, 1, 3}).size(), (size_t) 12); +} + +BOOST_FIXTURE_TEST_CASE( d4_orbit, d4_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d4generators, {1, 2, 3, 4}).size(), (size_t) 192); +} + +BOOST_FIXTURE_TEST_CASE( d5_orbit, d5_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d5generators, {1, 2, 3, 4, 5}).size(), (size_t) 1920); +} + +BOOST_FIXTURE_TEST_CASE( d6_orbit, d6_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d6generators, {1, 2, 3, 4, 5, 6}).size(), (size_t) 23040); +} + +BOOST_FIXTURE_TEST_CASE( d7_orbit, d7_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d7generators, {1, 2, 3, 4, 5, 6, 7}).size(), (size_t) 322560); +} + +BOOST_FIXTURE_TEST_CASE( d8_orbit, d8_fixture ) +{ + BOOST_CHECK_EQUAL(orbit(d8generators, {1, 2, 3, 4, 5, 6, 7, 8}).size(), (size_t) 5160960); +} \ No newline at end of file diff --git a/coxeter_group_orbits/ay4me/test_set.cc b/coxeter_group_orbits/ay4me/test_set.cc new file mode 100644 index 0000000..d90e34f --- /dev/null +++ b/coxeter_group_orbits/ay4me/test_set.cc @@ -0,0 +1,104 @@ +#include +#include +#include +#include +#include +#include +#include +#include +#include + + +const static double epsilon = 0.00001; + + +template +T relativeError(const std::vector& x, const std::vector& y) +{ + if (x.size() != y.size()) + { + std::cout << x.size(); + std::cout << "\n different \n"; + std::cout << y.size(); + throw std::logic_error("Comparison between vectors of different size."); + } + std::vector diff(x.size()); + T maxDiff = 0.0; + T maxVal = 0.0; + for (std::size_t i=0;i < x.size();++i) + { + diff[i] = x[i] - y[i]; + if (std::fabs(diff[i]) > maxDiff) + { + maxDiff = std::fabs(diff[i]); + } + if (std::fabs(x[i]) > maxVal) + { + maxVal = std::fabs(x[i]); + } + } + // for (std::size_t i=0;i < x.size();++i) + // { + // diff[i] = std::fabs(x[i])-std::fabs(y[i]); + // } + // T maxDiff = 0.0; + // T maxVal = 0.0; + // for (std::size_t i=0;i < x.size();++i) + // { + // if (std::fabs(diff[i]) > std::fabs(maxDiff)) + // { + // maxDiff = std::fabs(diff[i]); + // } + // if (std::fabs(x[i]) > std::fabs(maxVal)) + // { + // maxVal = std::fabs(x[i]); + // } + // } + if (maxVal == 0.0) + { + //std::cout << "maximum Value was 0.\n"; + return maxDiff; + } + return maxDiff/maxVal; +} + +template +struct ImpreciseComp{ + bool operator()(const std::vector& x, const std::vector& y) const + { + if (relativeError(x,y) < epsilon) + { + //std::cout << "decided two vectors are not <, due to relativeError.\n"; + //std::cout << relativeError(x,y); + //std::cout << "\n"; + return false; + } + //std::cout << "use normal compare.\n"; + return x < y; + } +}; + +typedef double NumberType; // this probably isn't going to work +typedef std::vector VectorType; +typedef std::vector GeneratorList; +typedef std::set> Orbit; + +int main() +{ + Orbit x = {}; + VectorType point1 = {0.9,1,2,3}; + VectorType point2 = {1,2,3,4}; + x.insert(point1); + std::set::iterator it = x.begin(); + const VectorType& currentPoint = *it; + std::cout << currentPoint[0]; + x.erase(point1); + std::cout << currentPoint[0]; + x.insert(point2); + std::cout << x.size(); + + std::string a = "foo"; + std::string b= a; + a = "bar"; + std::cout << b; +} \ No newline at end of file