Number of legal Go positions matrix representation lies on a complex lie group

go_conj_trans_test.cpp

#include <iostream>
#include <vector>
#include <cmath>
#include <numeric>
#include <algorithm>
#include <functional>
#include <map>

#include <armadillo>

/*
MAKE FILE
CFLAGS= -Wall -Os -O2 -std=gnu++11 -pedantic  /usr/local/lib/libarmadillo.dylib
CPP= ccache clang++

all:
	$(CPP) go_conj_trans_test.cpp -o g_c_j_t $(CFLAGS)
clean:
	rm g_c_j_t
	
input:

0 0 0 0 2 2 2 0 1 1 0 0 2 0 1 1 1 0 1
2 1 1 2 1 2 0 0 2 1 2 1 0 0 0 2 2 0 2
2 1 0 0 2 1 0 1 1 1 1 1 0 1 1 1 1 1 2
0 0 2 2 0 1 1 0 2 0 0 1 2 1 0 2 0 1 0
1 0 2 0 2 0 1 2 0 1 1 2 2 1 0 0 1 2 1
1 0 0 0 1 1 1 2 0 2 2 0 0 0 2 0 1 2 2
0 0 2 1 2 0 0 2 0 0 1 1 1 0 2 0 2 0 0
0 0 2 2 0 2 2 2 0 0 0 2 1 0 1 0 0 0 2
2 1 0 0 2 0 2 2 2 2 1 0 0 2 1 1 1 2 1
2 0 0 1 0 2 2 1 2 1 1 2 2 0 2 0 1 2 0
2 1 1 1 0 0 2 1 0 0 2 2 1 2 2 2 0 1 1
2 2 1 2 0 1 1 1 0 2 0 1 2 0 2 2 2 0 2
2 0 1 0 1 2 1 1 0 1 1 0 2 1 2 0 0 2 1
2 0 0 0 1 2 2 1 1 2 0 2 2 0 0 1 0 1 0
1 1 2 2 0 0 1 2 2 0 2 0 2 0 1 2 2 1 0
2 0 1 0 0 1 1 0 2 1 2 1 2 1 1 0 2 2 0
2 2 1 1 2 0 1 0 2 0 1 2 0 2 1 2 1 0 0
0 0 0 1 1 2 2 1 0 2 1 0 1 0 2 1 1 2 0
2 2 0 2 1 0 2 2 0 0 2 1 1 1 1 1 2 2 2


Output: 4.79573e+06
*/

int main(int argc, char *argv[]){
	arma::mat tm;
	tm.load("test.mat", arma::raw_ascii);

	arma::mat c_tm_t = arma::conj(tm).t();

	std::cout << arma::det(c_tm_t) << std::endl;
	
	return 0;
}