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#include "rb_lapack.h"
extern VOID sptcon_(integer* n, real* d, real* e, real* anorm, real* rcond, real* work, integer* info);
static VALUE
rblapack_sptcon(int argc, VALUE *argv, VALUE self){
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
real *e;
VALUE rblapack_anorm;
real anorm;
VALUE rblapack_rcond;
real rcond;
VALUE rblapack_info;
integer info;
real *work;
integer n;
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 rcond, info = NumRu::Lapack.sptcon( d, e, anorm, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SPTCON( N, D, E, ANORM, RCOND, WORK, INFO )\n\n* Purpose\n* =======\n*\n* SPTCON computes the reciprocal of the condition number (in the\n* 1-norm) of a real symmetric positive definite tridiagonal matrix\n* using the factorization A = L*D*L**T or A = U**T*D*U computed by\n* SPTTRF.\n*\n* Norm(inv(A)) is computed by a direct method, and the reciprocal of\n* the condition number is computed as\n* RCOND = 1 / (ANORM * norm(inv(A))).\n*\n\n* Arguments\n* =========\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* D (input) REAL array, dimension (N)\n* The n diagonal elements of the diagonal matrix D from the\n* factorization of A, as computed by SPTTRF.\n*\n* E (input) REAL array, dimension (N-1)\n* The (n-1) off-diagonal elements of the unit bidiagonal factor\n* U or L from the factorization of A, as computed by SPTTRF.\n*\n* ANORM (input) REAL\n* The 1-norm of the original matrix A.\n*\n* RCOND (output) REAL\n* The reciprocal of the condition number of the matrix A,\n* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is the\n* 1-norm of inv(A) computed in this routine.\n*\n* WORK (workspace) REAL array, dimension (N)\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n* < 0: if INFO = -i, the i-th argument had an illegal value\n*\n\n* Further Details\n* ===============\n*\n* The method used is described in Nicholas J. Higham, \"Efficient\n* Algorithms for Computing the Condition Number of a Tridiagonal\n* Matrix\", SIAM J. Sci. Stat. Comput., Vol. 7, No. 1, January 1986.\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n rcond, info = NumRu::Lapack.sptcon( d, e, anorm, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 3 && argc != 3)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 3)", argc);
rblapack_d = argv[0];
rblapack_e = argv[1];
rblapack_anorm = argv[2];
if (argc == 3) {
} else if (rblapack_options != Qnil) {
} else {
}
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (1th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (1th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_d);
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
anorm = (real)NUM2DBL(rblapack_anorm);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (2th argument) must be NArray");
if (NA_RANK(rblapack_e) != 1)
rb_raise(rb_eArgError, "rank of e (2th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_e) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of e must be %d", n-1);
if (NA_TYPE(rblapack_e) != NA_SFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_SFLOAT);
e = NA_PTR_TYPE(rblapack_e, real*);
work = ALLOC_N(real, (n));
sptcon_(&n, d, e, &anorm, &rcond, work, &info);
free(work);
rblapack_rcond = rb_float_new((double)rcond);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_rcond, rblapack_info);
}
void
init_lapack_sptcon(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "sptcon", rblapack_sptcon, -1);
}
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