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#include "rb_lapack.h"
extern VOID zgtcon_(char* norm, integer* n, doublecomplex* dl, doublecomplex* d, doublecomplex* du, doublecomplex* du2, integer* ipiv, doublereal* anorm, doublereal* rcond, doublecomplex* work, integer* info);
static VALUE
rblapack_zgtcon(int argc, VALUE *argv, VALUE self){
VALUE rblapack_norm;
char norm;
VALUE rblapack_dl;
doublecomplex *dl;
VALUE rblapack_d;
doublecomplex *d;
VALUE rblapack_du;
doublecomplex *du;
VALUE rblapack_du2;
doublecomplex *du2;
VALUE rblapack_ipiv;
integer *ipiv;
VALUE rblapack_anorm;
doublereal anorm;
VALUE rblapack_rcond;
doublereal rcond;
VALUE rblapack_info;
integer info;
doublecomplex *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.zgtcon( norm, dl, d, du, du2, ipiv, anorm, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE ZGTCON( NORM, N, DL, D, DU, DU2, IPIV, ANORM, RCOND, WORK, INFO )\n\n* Purpose\n* =======\n*\n* ZGTCON estimates the reciprocal of the condition number of a complex\n* tridiagonal matrix A using the LU factorization as computed by\n* ZGTTRF.\n*\n* An estimate is obtained for norm(inv(A)), and the reciprocal of the\n* condition number is computed as RCOND = 1 / (ANORM * norm(inv(A))).\n*\n\n* Arguments\n* =========\n*\n* NORM (input) CHARACTER*1\n* Specifies whether the 1-norm condition number or the\n* infinity-norm condition number is required:\n* = '1' or 'O': 1-norm;\n* = 'I': Infinity-norm.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* DL (input) COMPLEX*16 array, dimension (N-1)\n* The (n-1) multipliers that define the matrix L from the\n* LU factorization of A as computed by ZGTTRF.\n*\n* D (input) COMPLEX*16 array, dimension (N)\n* The n diagonal elements of the upper triangular matrix U from\n* the LU factorization of A.\n*\n* DU (input) COMPLEX*16 array, dimension (N-1)\n* The (n-1) elements of the first superdiagonal of U.\n*\n* DU2 (input) COMPLEX*16 array, dimension (N-2)\n* The (n-2) elements of the second superdiagonal of U.\n*\n* IPIV (input) INTEGER array, dimension (N)\n* The pivot indices; for 1 <= i <= n, row i of the matrix was\n* interchanged with row IPIV(i). IPIV(i) will always be either\n* i or i+1; IPIV(i) = i indicates a row interchange was not\n* required.\n*\n* ANORM (input) DOUBLE PRECISION\n* If NORM = '1' or 'O', the 1-norm of the original matrix A.\n* If NORM = 'I', the infinity-norm of the original matrix A.\n*\n* RCOND (output) DOUBLE PRECISION\n* The reciprocal of the condition number of the matrix A,\n* computed as RCOND = 1/(ANORM * AINVNM), where AINVNM is an\n* estimate of the 1-norm of inv(A) computed in this routine.\n*\n* WORK (workspace) COMPLEX*16 array, dimension (2*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* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n rcond, info = NumRu::Lapack.zgtcon( norm, dl, d, du, du2, ipiv, anorm, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 7 && argc != 7)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 7)", argc);
rblapack_norm = argv[0];
rblapack_dl = argv[1];
rblapack_d = argv[2];
rblapack_du = argv[3];
rblapack_du2 = argv[4];
rblapack_ipiv = argv[5];
rblapack_anorm = argv[6];
if (argc == 7) {
} else if (rblapack_options != Qnil) {
} else {
}
norm = StringValueCStr(rblapack_norm)[0];
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (3th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (3th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_d);
if (NA_TYPE(rblapack_d) != NA_DCOMPLEX)
rblapack_d = na_change_type(rblapack_d, NA_DCOMPLEX);
d = NA_PTR_TYPE(rblapack_d, doublecomplex*);
if (!NA_IsNArray(rblapack_ipiv))
rb_raise(rb_eArgError, "ipiv (6th argument) must be NArray");
if (NA_RANK(rblapack_ipiv) != 1)
rb_raise(rb_eArgError, "rank of ipiv (6th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_ipiv) != n)
rb_raise(rb_eRuntimeError, "shape 0 of ipiv must be the same as shape 0 of d");
if (NA_TYPE(rblapack_ipiv) != NA_LINT)
rblapack_ipiv = na_change_type(rblapack_ipiv, NA_LINT);
ipiv = NA_PTR_TYPE(rblapack_ipiv, integer*);
if (!NA_IsNArray(rblapack_dl))
rb_raise(rb_eArgError, "dl (2th argument) must be NArray");
if (NA_RANK(rblapack_dl) != 1)
rb_raise(rb_eArgError, "rank of dl (2th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_dl) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of dl must be %d", n-1);
if (NA_TYPE(rblapack_dl) != NA_DCOMPLEX)
rblapack_dl = na_change_type(rblapack_dl, NA_DCOMPLEX);
dl = NA_PTR_TYPE(rblapack_dl, doublecomplex*);
if (!NA_IsNArray(rblapack_du2))
rb_raise(rb_eArgError, "du2 (5th argument) must be NArray");
if (NA_RANK(rblapack_du2) != 1)
rb_raise(rb_eArgError, "rank of du2 (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_du2) != (n-2))
rb_raise(rb_eRuntimeError, "shape 0 of du2 must be %d", n-2);
if (NA_TYPE(rblapack_du2) != NA_DCOMPLEX)
rblapack_du2 = na_change_type(rblapack_du2, NA_DCOMPLEX);
du2 = NA_PTR_TYPE(rblapack_du2, doublecomplex*);
if (!NA_IsNArray(rblapack_du))
rb_raise(rb_eArgError, "du (4th argument) must be NArray");
if (NA_RANK(rblapack_du) != 1)
rb_raise(rb_eArgError, "rank of du (4th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_du) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of du must be %d", n-1);
if (NA_TYPE(rblapack_du) != NA_DCOMPLEX)
rblapack_du = na_change_type(rblapack_du, NA_DCOMPLEX);
du = NA_PTR_TYPE(rblapack_du, doublecomplex*);
anorm = NUM2DBL(rblapack_anorm);
work = ALLOC_N(doublecomplex, (2*n));
zgtcon_(&norm, &n, dl, d, du, du2, ipiv, &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_zgtcon(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "zgtcon", rblapack_zgtcon, -1);
}
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