#include "solid_angle.h" #include #include #include "refractive_index.h" /* Table of some of the tabulated values of the refractive index of water as a * function of wavelength and temperature. In all cases, I just used the values * for standard atmospheric pressure and assume this corresponds approximately * to a density of 1000 kg/m^3. * * See Table 7 in https://aip.scitation.org/doi/pdf/10.1063/1.555859. */ struct refractive_index_results { double p; double T; double wavelength; double n; } refractive_index_results[] = { {1000.0, 0 , 361.05, 1.39468}, {1000.0, 10, 361.05, 1.39439}, {1000.0, 20, 361.05, 1.39353}, {1000.0, 30, 361.05, 1.39224}, {1000.0, 0 , 404.41, 1.34431}, {1000.0, 10, 404.41, 1.34404}, {1000.0, 20, 404.41, 1.34329}, {1000.0, 30, 404.41, 1.34218}, {1000.0, 0 , 589.00, 1.33447}, {1000.0, 10, 589.00, 1.33422}, {1000.0, 20, 589.00, 1.33350}, {1000.0, 30, 589.00, 1.33243}, {1000.0, 0 , 632.80, 1.33321}, {1000.0, 10, 632.80, 1.33296}, {1000.0, 20, 632.80, 1.33224}, {1000.0, 30, 632.80, 1.33118}, {1000.0, 0 , 1013.98, 1.32626}, {1000.0, 10, 1013.98, 1.32604}, {1000.0, 20, 1013.98, 1.32537}, {1000.0, 30, 1013.98, 1.32437}, {1000.0, 0 , 2325.42, 1.27663}, {1000.0, 10, 2325.42, 1.27663}, {1000.0, 20, 2325.42, 1.27627}, {1000.0, 30, 2325.42, 1.27563}, }; /* Table of the values of solid angle for various values of r0/r and L/r. * * See Table 1 in http://www.umich.edu/~ners312/CourseLibrary/SolidAngleOfADiskOffAxis.pdf. */ struct solid_angle_results { double L; double r0; double omega; } solid_angle_results[] = { {0.5,0.0,3.4732594}, {0.5,0.2,3.4184435}, {0.5,0.4,3.2435434}, {0.5,0.6,2.9185178}, {0.5,0.8,2.4122535}, {0.5,1.0,1.7687239}, {0.5,1.2,1.1661307}, {0.5,1.4,0.7428889}, {0.5,1.6,0.4841273}, {0.5,1.8,0.3287007}, {0.5,2.0,0.2324189}, {1.0,0.0,1.8403024}, {1.0,0.2,1.8070933}, {1.0,0.4,1.7089486}, {1.0,0.6,1.5517370}, {1.0,0.8,1.3488367}, {1.0,1.0,1.1226876}, {1.0,1.2,0.9003572}, {1.0,1.4,0.7039130}, {1.0,1.6,0.5436956}, {1.0,1.8,0.4195415}, {1.0,2.0,0.3257993}, {1.5,0.0,1.0552591}, {1.5,0.2,1.0405177}, {1.5,0.4,0.9975504}, {1.5,0.6,0.9301028}, {1.5,0.8,0.8441578}, {1.5,1.0,0.7472299}, {1.5,1.2,0.6472056}, {1.5,1.4,0.5509617}, {1.5,1.6,0.4632819}, {1.5,1.8,0.3866757}, {1.5,2.0,0.3217142}, {2.0,0.0,0.6633335}, {2.0,0.2,0.6566352}, {2.0,0.4,0.6370508}, {2.0,0.6,0.6060694}, {2.0,0.8,0.5659755}, {2.0,1.0,0.5195359}, {2.0,1.2,0.4696858}, {2.0,1.4,0.4191714}, {2.0,1.6,0.3702014}, {2.0,1.8,0.3243908}, {2.0,2.0,0.282707} }; int isclose(double a, double b, double rel_tol, double abs_tol) { /* Returns 1 if a and b are "close". This algorithm is taken from Python's * math.isclose() function. * * See https://www.python.org/dev/peps/pep-0485/. */ return fabs(a-b) <= fmax(rel_tol*fmax(fabs(a),fabs(b)),abs_tol); } int test_refractive_index(char *err) { /* Tests the get_index() function. */ int i; double n; struct refractive_index_results result; for (i = 0; i < sizeof(refractive_index_results)/sizeof(struct refractive_index_results); i++) { result = refractive_index_results[i]; n = get_index(result.p, result.wavelength, result.T); if (!isclose(n, result.n, 1e-4, 0)) { sprintf(err, "n = %.5f, but expected %.5f", n, result.n); return 1; } } return 0; } int test_solid_angle(char *err) { /* Tests the get_solid_angle() function. */ int i; double pmt[3] = {0,0,0}; double pos[3] = {0,0,1}; double n[3] = {0,0,1}; double r = 1.0; double solid_angle; solid_angle = get_solid_angle(pos,pmt,n,r); if (!isclose(solid_angle, 2*M_PI*(1-1/sqrt(2)), 1e-9, 0)) { sprintf(err, "solid angle = %.5f, but expected %.5f", solid_angle, 2*M_PI*(1-1/sqrt(2))); return 1; } for (i = 0; i < sizeof(solid_angle_results)/sizeof(struct solid_angle_results); i++) { pos[0] = solid_angle_results[i].r0*r; pos[2] = solid_angle_results[i].L*r; solid_angle = get_solid_angle(pos,pmt,n,r); if (!isclose(solid_angle, solid_angle_results[i].omega, 1e-4, 0)) { sprintf(err, "solid angle = %.5f, but expected %.5f", solid_angle, solid_angle_results[i].omega); return 1; } } return 0; } int main(int argc, char **argv) { char err[256]; int retval = 0; if (!test_solid_angle(err)) { printf("[\033[92mok\033[0m] test_solid_angle\n"); } else { printf("[\033[91mfail\033[0m] test_solid_angle: %s\n", err); retval = 1; } if (!test_refractive_index(err)) { printf("[\033[92mok\033[0m] test_refractive_index\n"); } else { printf("[\033[91mfail\033[0m] test_refractive_index: %s\n", err); retval = 1; } return retval; }