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#include "rb_lapack.h"
extern VOID dlanv2_(doublereal* a, doublereal* b, doublereal* c, doublereal* d, doublereal* rt1r, doublereal* rt1i, doublereal* rt2r, doublereal* rt2i, doublereal* cs, doublereal* sn);
static VALUE
rblapack_dlanv2(int argc, VALUE *argv, VALUE self){
VALUE rblapack_a;
doublereal a;
VALUE rblapack_b;
doublereal b;
VALUE rblapack_c;
doublereal c;
VALUE rblapack_d;
doublereal d;
VALUE rblapack_rt1r;
doublereal rt1r;
VALUE rblapack_rt1i;
doublereal rt1i;
VALUE rblapack_rt2r;
doublereal rt2r;
VALUE rblapack_rt2i;
doublereal rt2i;
VALUE rblapack_cs;
doublereal cs;
VALUE rblapack_sn;
doublereal sn;
VALUE rblapack_options;
if (argc > 0 && TYPE(argv[argc-1]) == T_HASH) {
argc--;
rblapack_options = argv[argc];
if (rb_hash_aref(rblapack_options, sHelp) == Qtrue) {
printf("%s\n", "USAGE:\n rt1r, rt1i, rt2r, rt2i, cs, sn, a, b, c, d = NumRu::Lapack.dlanv2( a, b, c, d, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DLANV2( A, B, C, D, RT1R, RT1I, RT2R, RT2I, CS, SN )\n\n* Purpose\n* =======\n*\n* DLANV2 computes the Schur factorization of a real 2-by-2 nonsymmetric\n* matrix in standard form:\n*\n* [ A B ] = [ CS -SN ] [ AA BB ] [ CS SN ]\n* [ C D ] [ SN CS ] [ CC DD ] [-SN CS ]\n*\n* where either\n* 1) CC = 0 so that AA and DD are real eigenvalues of the matrix, or\n* 2) AA = DD and BB*CC < 0, so that AA + or - sqrt(BB*CC) are complex\n* conjugate eigenvalues.\n*\n\n* Arguments\n* =========\n*\n* A (input/output) DOUBLE PRECISION\n* B (input/output) DOUBLE PRECISION\n* C (input/output) DOUBLE PRECISION\n* D (input/output) DOUBLE PRECISION\n* On entry, the elements of the input matrix.\n* On exit, they are overwritten by the elements of the\n* standardised Schur form.\n*\n* RT1R (output) DOUBLE PRECISION\n* RT1I (output) DOUBLE PRECISION\n* RT2R (output) DOUBLE PRECISION\n* RT2I (output) DOUBLE PRECISION\n* The real and imaginary parts of the eigenvalues. If the\n* eigenvalues are a complex conjugate pair, RT1I > 0.\n*\n* CS (output) DOUBLE PRECISION\n* SN (output) DOUBLE PRECISION\n* Parameters of the rotation matrix.\n*\n\n* Further Details\n* ===============\n*\n* Modified by V. Sima, Research Institute for Informatics, Bucharest,\n* Romania, to reduce the risk of cancellation errors,\n* when computing real eigenvalues, and to ensure, if possible, that\n* abs(RT1R) >= abs(RT2R).\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n rt1r, rt1i, rt2r, rt2i, cs, sn, a, b, c, d = NumRu::Lapack.dlanv2( a, b, c, d, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 4 && argc != 4)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 4)", argc);
rblapack_a = argv[0];
rblapack_b = argv[1];
rblapack_c = argv[2];
rblapack_d = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
a = NUM2DBL(rblapack_a);
c = NUM2DBL(rblapack_c);
b = NUM2DBL(rblapack_b);
d = NUM2DBL(rblapack_d);
dlanv2_(&a, &b, &c, &d, &rt1r, &rt1i, &rt2r, &rt2i, &cs, &sn);
rblapack_rt1r = rb_float_new((double)rt1r);
rblapack_rt1i = rb_float_new((double)rt1i);
rblapack_rt2r = rb_float_new((double)rt2r);
rblapack_rt2i = rb_float_new((double)rt2i);
rblapack_cs = rb_float_new((double)cs);
rblapack_sn = rb_float_new((double)sn);
rblapack_a = rb_float_new((double)a);
rblapack_b = rb_float_new((double)b);
rblapack_c = rb_float_new((double)c);
rblapack_d = rb_float_new((double)d);
return rb_ary_new3(10, rblapack_rt1r, rblapack_rt1i, rblapack_rt2r, rblapack_rt2i, rblapack_cs, rblapack_sn, rblapack_a, rblapack_b, rblapack_c, rblapack_d);
}
void
init_lapack_dlanv2(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dlanv2", rblapack_dlanv2, -1);
}
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