99 lines
2.7 KiB
C
99 lines
2.7 KiB
C
#define _GNU_SOURCE
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#include <qpms/beyn.h>
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#include <stdio.h>
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#include <string.h>
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#include <stdlib.h>
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#include <math.h>
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#include <fenv.h>
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static double randU(double a, double b) {return a + (b-a) * random() * (1. / RAND_MAX); }
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// Normal distribution via Box-Muller transform
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static double randN(double sigma, double mu) {
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double u1 = randU(0,1);
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double u2 = randU(0,1);
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return mu + sigma*sqrt(-2*log(u1))*cos(2.*M_PI*u2);
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}
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struct param {
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double *T0;
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double *T1;
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double *T2;
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};
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int M_function(complex double *target, const size_t m, const complex double z, void *params) {
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struct param *p = params;
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for(size_t i = 0; i < m*m; ++i)
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target[i] = p->T0[i] + z*p->T1[i] + cexp(
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#ifdef VARIANTB // Also note that this case requires pretty large contour point number (>~ 3000)
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(1+3*I)
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#else // VARIANTA or VARIANTC
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(1+1*I)
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#endif
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*z*p->T2[i]) +
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#ifdef VARIANTC // Essential singularity at zero
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cexp(3/z);
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#elif defined VARIANTD // Essential singularity outside the contour
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cexp(3/(z-1))
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#elif defined VARIANTE // High-order pole at zero
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3/cpow(z,10);
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#elif defined VARIANTF // High-order pole at zero, higher order than dim
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.0003/cpow(z,12);
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#else // double pole at zero
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3/z/z
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#endif
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;
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return 0;
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}
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int main(int argc, char **argv) {
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feenableexcept(FE_INVALID | FE_OVERFLOW);
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complex double z0 = 0+3e-1*I;
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#ifdef RXSMALL
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double Rx = .1;
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#else
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double Rx = .3; // Variant B will fail in this case due to large number of eigenvalues (>30)
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#endif
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double Ry = .25;
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#ifdef VARIANTF
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int L = 10, N = 150, dim = 10;
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#else
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int L = 30, N = 150, dim = 60;
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#endif
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if (argc > 1) N = atoi(argv[1]);
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if (argc > 2) L = atoi(argv[2]);
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#ifdef IMPLUS
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beyn_contour_t *contour = beyn_contour_halfellipse(z0, Rx, Ry, N, BEYN_CONTOUR_HALFELLIPSE_IM_PLUS);
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#elif defined IMPLUS_KIDNEY
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beyn_contour_t *contour = beyn_contour_kidney(z0, Rx, Ry, 0.3, N, BEYN_CONTOUR_HALFELLIPSE_IM_PLUS);
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#else
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beyn_contour_t *contour = beyn_contour_ellipse(z0, Rx, Ry, N);
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#endif
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struct param p;
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p.T0 = malloc(dim*dim*sizeof(double));
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p.T1 = malloc(dim*dim*sizeof(double));
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p.T2 = malloc(dim*dim*sizeof(double));
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for(size_t i = 0; i < dim*dim; ++i) {
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p.T0[i] = randN(1,0);
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p.T1[i] = randN(1,0);
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p.T2[i] = randN(1,0);
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}
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beyn_result_t *result =
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beyn_solve(dim, L, M_function, NULL /*M_inv_Vhat_function*/, &p /*params*/,
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contour, 1e-4, 1, 1e-4);
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printf("Found %zd eigenvalues:\n", result->neig);
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for (size_t i = 0; i < result->neig; ++i) {
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complex double eig = result->eigval[i];
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printf("%zd: %g%+gj\n", i, creal(eig), cimag(eig));
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}
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free(contour);
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beyn_result_free(result);
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free(p.T0);
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free(p.T1);
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free(p.T2);
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return 0;
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}
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