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#include "rb_lapack.h"
extern VOID cptsvx_(char* fact, integer* n, integer* nrhs, real* d, complex* e, real* df, complex* ef, complex* b, integer* ldb, complex* x, integer* ldx, real* rcond, real* ferr, real* berr, complex* work, real* rwork, integer* info);
static VALUE
rblapack_cptsvx(int argc, VALUE *argv, VALUE self){
VALUE rblapack_fact;
char fact;
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
complex *e;
VALUE rblapack_df;
real *df;
VALUE rblapack_ef;
complex *ef;
VALUE rblapack_b;
complex *b;
VALUE rblapack_x;
complex *x;
VALUE rblapack_rcond;
real rcond;
VALUE rblapack_ferr;
real *ferr;
VALUE rblapack_berr;
real *berr;
VALUE rblapack_info;
integer info;
VALUE rblapack_df_out__;
real *df_out__;
VALUE rblapack_ef_out__;
complex *ef_out__;
complex *work;
real *rwork;
integer n;
integer ldb;
integer nrhs;
integer ldx;
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 x, rcond, ferr, berr, info, df, ef = NumRu::Lapack.cptsvx( fact, d, e, df, ef, b, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CPTSVX( FACT, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, RCOND, FERR, BERR, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* CPTSVX uses the factorization A = L*D*L**H to compute the solution\n* to a complex system of linear equations A*X = B, where A is an\n* N-by-N Hermitian positive definite tridiagonal matrix and X and B\n* are N-by-NRHS matrices.\n*\n* Error bounds on the solution and a condition estimate are also\n* provided.\n*\n* Description\n* ===========\n*\n* The following steps are performed:\n*\n* 1. If FACT = 'N', the matrix A is factored as A = L*D*L**H, where L\n* is a unit lower bidiagonal matrix and D is diagonal. The\n* factorization can also be regarded as having the form\n* A = U**H*D*U.\n*\n* 2. If the leading i-by-i principal minor is not positive definite,\n* then the routine returns with INFO = i. Otherwise, the factored\n* form of A is used to estimate the condition number of the matrix\n* A. If the reciprocal of the condition number is less than machine\n* precision, INFO = N+1 is returned as a warning, but the routine\n* still goes on to solve for X and compute error bounds as\n* described below.\n*\n* 3. The system of equations is solved for X using the factored form\n* of A.\n*\n* 4. Iterative refinement is applied to improve the computed solution\n* matrix and calculate error bounds and backward error estimates\n* for it.\n*\n\n* Arguments\n* =========\n*\n* FACT (input) CHARACTER*1\n* Specifies whether or not the factored form of the matrix\n* A is supplied on entry.\n* = 'F': On entry, DF and EF contain the factored form of A.\n* D, E, DF, and EF will not be modified.\n* = 'N': The matrix A will be copied to DF and EF and\n* factored.\n*\n* N (input) INTEGER\n* The order of the matrix A. N >= 0.\n*\n* NRHS (input) INTEGER\n* The number of right hand sides, i.e., the number of columns\n* of the matrices B and X. NRHS >= 0.\n*\n* D (input) REAL array, dimension (N)\n* The n diagonal elements of the tridiagonal matrix A.\n*\n* E (input) COMPLEX array, dimension (N-1)\n* The (n-1) subdiagonal elements of the tridiagonal matrix A.\n*\n* DF (input or output) REAL array, dimension (N)\n* If FACT = 'F', then DF is an input argument and on entry\n* contains the n diagonal elements of the diagonal matrix D\n* from the L*D*L**H factorization of A.\n* If FACT = 'N', then DF is an output argument and on exit\n* contains the n diagonal elements of the diagonal matrix D\n* from the L*D*L**H factorization of A.\n*\n* EF (input or output) COMPLEX array, dimension (N-1)\n* If FACT = 'F', then EF is an input argument and on entry\n* contains the (n-1) subdiagonal elements of the unit\n* bidiagonal factor L from the L*D*L**H factorization of A.\n* If FACT = 'N', then EF is an output argument and on exit\n* contains the (n-1) subdiagonal elements of the unit\n* bidiagonal factor L from the L*D*L**H factorization of A.\n*\n* B (input) COMPLEX array, dimension (LDB,NRHS)\n* The N-by-NRHS right hand side matrix B.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,N).\n*\n* X (output) COMPLEX array, dimension (LDX,NRHS)\n* If INFO = 0 or INFO = N+1, the N-by-NRHS solution matrix X.\n*\n* LDX (input) INTEGER\n* The leading dimension of the array X. LDX >= max(1,N).\n*\n* RCOND (output) REAL\n* The reciprocal condition number of the matrix A. If RCOND\n* is less than the machine precision (in particular, if\n* RCOND = 0), the matrix is singular to working precision.\n* This condition is indicated by a return code of INFO > 0.\n*\n* FERR (output) REAL array, dimension (NRHS)\n* The forward error bound for each solution vector\n* X(j) (the j-th column of the solution matrix X).\n* If XTRUE is the true solution corresponding to X(j), FERR(j)\n* is an estimated upper bound for the magnitude of the largest\n* element in (X(j) - XTRUE) divided by the magnitude of the\n* largest element in X(j).\n*\n* BERR (output) REAL array, dimension (NRHS)\n* The componentwise relative backward error of each solution\n* vector X(j) (i.e., the smallest relative change in any\n* element of A or B that makes X(j) an exact solution).\n*\n* WORK (workspace) COMPLEX array, dimension (N)\n*\n* RWORK (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* > 0: if INFO = i, and i is\n* <= N: the leading minor of order i of A is\n* not positive definite, so the factorization\n* could not be completed, and the solution has not\n* been computed. RCOND = 0 is returned.\n* = N+1: U is nonsingular, but RCOND is less than machine\n* precision, meaning that the matrix is singular\n* to working precision. Nevertheless, the\n* solution and error bounds are computed because\n* there are a number of situations where the\n* computed solution can be more accurate than the\n* value of RCOND would suggest.\n*\n\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n x, rcond, ferr, berr, info, df, ef = NumRu::Lapack.cptsvx( fact, d, e, df, ef, b, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 6 && argc != 6)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 6)", argc);
rblapack_fact = argv[0];
rblapack_d = argv[1];
rblapack_e = argv[2];
rblapack_df = argv[3];
rblapack_ef = argv[4];
rblapack_b = argv[5];
if (argc == 6) {
} else if (rblapack_options != Qnil) {
} else {
}
fact = StringValueCStr(rblapack_fact)[0];
if (!NA_IsNArray(rblapack_df))
rb_raise(rb_eArgError, "df (4th argument) must be NArray");
if (NA_RANK(rblapack_df) != 1)
rb_raise(rb_eArgError, "rank of df (4th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_df);
if (NA_TYPE(rblapack_df) != NA_SFLOAT)
rblapack_df = na_change_type(rblapack_df, NA_SFLOAT);
df = NA_PTR_TYPE(rblapack_df, real*);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (6th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (6th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
nrhs = NA_SHAPE1(rblapack_b);
if (NA_TYPE(rblapack_b) != NA_SCOMPLEX)
rblapack_b = na_change_type(rblapack_b, NA_SCOMPLEX);
b = NA_PTR_TYPE(rblapack_b, complex*);
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (2th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (2th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_d) != n)
rb_raise(rb_eRuntimeError, "shape 0 of d must be the same as shape 0 of df");
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
if (!NA_IsNArray(rblapack_ef))
rb_raise(rb_eArgError, "ef (5th argument) must be NArray");
if (NA_RANK(rblapack_ef) != 1)
rb_raise(rb_eArgError, "rank of ef (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_ef) != (n-1))
rb_raise(rb_eRuntimeError, "shape 0 of ef must be %d", n-1);
if (NA_TYPE(rblapack_ef) != NA_SCOMPLEX)
rblapack_ef = na_change_type(rblapack_ef, NA_SCOMPLEX);
ef = NA_PTR_TYPE(rblapack_ef, complex*);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (3th argument) must be NArray");
if (NA_RANK(rblapack_e) != 1)
rb_raise(rb_eArgError, "rank of e (3th 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_SCOMPLEX)
rblapack_e = na_change_type(rblapack_e, NA_SCOMPLEX);
e = NA_PTR_TYPE(rblapack_e, complex*);
ldx = MAX(1,n);
{
na_shape_t shape[2];
shape[0] = ldx;
shape[1] = nrhs;
rblapack_x = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
x = NA_PTR_TYPE(rblapack_x, complex*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_ferr = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
ferr = NA_PTR_TYPE(rblapack_ferr, real*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_berr = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
berr = NA_PTR_TYPE(rblapack_berr, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_df_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
df_out__ = NA_PTR_TYPE(rblapack_df_out__, real*);
MEMCPY(df_out__, df, real, NA_TOTAL(rblapack_df));
rblapack_df = rblapack_df_out__;
df = df_out__;
{
na_shape_t shape[1];
shape[0] = n-1;
rblapack_ef_out__ = na_make_object(NA_SCOMPLEX, 1, shape, cNArray);
}
ef_out__ = NA_PTR_TYPE(rblapack_ef_out__, complex*);
MEMCPY(ef_out__, ef, complex, NA_TOTAL(rblapack_ef));
rblapack_ef = rblapack_ef_out__;
ef = ef_out__;
work = ALLOC_N(complex, (n));
rwork = ALLOC_N(real, (n));
cptsvx_(&fact, &n, &nrhs, d, e, df, ef, b, &ldb, x, &ldx, &rcond, ferr, berr, work, rwork, &info);
free(work);
free(rwork);
rblapack_rcond = rb_float_new((double)rcond);
rblapack_info = INT2NUM(info);
return rb_ary_new3(7, rblapack_x, rblapack_rcond, rblapack_ferr, rblapack_berr, rblapack_info, rblapack_df, rblapack_ef);
}
void
init_lapack_cptsvx(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "cptsvx", rblapack_cptsvx, -1);
}
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