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#include "rb_lapack.h"
extern VOID cherfs_(char* uplo, integer* n, integer* nrhs, complex* a, integer* lda, complex* af, integer* ldaf, integer* ipiv, complex* b, integer* ldb, complex* x, integer* ldx, real* ferr, real* berr, complex* work, real* rwork, integer* info);
static VALUE
rblapack_cherfs(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_a;
complex *a;
VALUE rblapack_af;
complex *af;
VALUE rblapack_ipiv;
integer *ipiv;
VALUE rblapack_b;
complex *b;
VALUE rblapack_x;
complex *x;
VALUE rblapack_ferr;
real *ferr;
VALUE rblapack_berr;
real *berr;
VALUE rblapack_info;
integer info;
VALUE rblapack_x_out__;
complex *x_out__;
complex *work;
real *rwork;
integer lda;
integer n;
integer ldaf;
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 ferr, berr, info, x = NumRu::Lapack.cherfs( uplo, a, af, ipiv, b, x, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CHERFS( UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* CHERFS improves the computed solution to a system of linear\n* equations when the coefficient matrix is Hermitian indefinite, and\n* provides error bounds and backward error estimates for the solution.\n*\n\n* Arguments\n* =========\n*\n* UPLO (input) CHARACTER*1\n* = 'U': Upper triangle of A is stored;\n* = 'L': Lower triangle of A is stored.\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* A (input) COMPLEX array, dimension (LDA,N)\n* The Hermitian matrix A. If UPLO = 'U', the leading N-by-N\n* upper triangular part of A contains the upper triangular part\n* of the matrix A, and the strictly lower triangular part of A\n* is not referenced. If UPLO = 'L', the leading N-by-N lower\n* triangular part of A contains the lower triangular part of\n* the matrix A, and the strictly upper triangular part of A is\n* not referenced.\n*\n* LDA (input) INTEGER\n* The leading dimension of the array A. LDA >= max(1,N).\n*\n* AF (input) COMPLEX array, dimension (LDAF,N)\n* The factored form of the matrix A. AF contains the block\n* diagonal matrix D and the multipliers used to obtain the\n* factor U or L from the factorization A = U*D*U**H or\n* A = L*D*L**H as computed by CHETRF.\n*\n* LDAF (input) INTEGER\n* The leading dimension of the array AF. LDAF >= max(1,N).\n*\n* IPIV (input) INTEGER array, dimension (N)\n* Details of the interchanges and the block structure of D\n* as determined by CHETRF.\n*\n* B (input) COMPLEX array, dimension (LDB,NRHS)\n* The 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 (input/output) COMPLEX array, dimension (LDX,NRHS)\n* On entry, the solution matrix X, as computed by CHETRS.\n* On exit, the improved solution matrix X.\n*\n* LDX (input) INTEGER\n* The leading dimension of the array X. LDX >= max(1,N).\n*\n* FERR (output) REAL array, dimension (NRHS)\n* The estimated 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). The estimate is as reliable as\n* the estimate for RCOND, and is almost always a slight\n* overestimate of the true error.\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\n* any element of A or B that makes X(j) an exact solution).\n*\n* WORK (workspace) COMPLEX array, dimension (2*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*\n* Internal Parameters\n* ===================\n*\n* ITMAX is the maximum number of steps of iterative refinement.\n*\n\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n ferr, berr, info, x = NumRu::Lapack.cherfs( uplo, a, af, ipiv, b, x, [: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_uplo = argv[0];
rblapack_a = argv[1];
rblapack_af = argv[2];
rblapack_ipiv = argv[3];
rblapack_b = argv[4];
rblapack_x = argv[5];
if (argc == 6) {
} else if (rblapack_options != Qnil) {
} else {
}
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_af))
rb_raise(rb_eArgError, "af (3th argument) must be NArray");
if (NA_RANK(rblapack_af) != 2)
rb_raise(rb_eArgError, "rank of af (3th argument) must be %d", 2);
ldaf = NA_SHAPE0(rblapack_af);
n = NA_SHAPE1(rblapack_af);
if (NA_TYPE(rblapack_af) != NA_SCOMPLEX)
rblapack_af = na_change_type(rblapack_af, NA_SCOMPLEX);
af = NA_PTR_TYPE(rblapack_af, complex*);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (5th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (5th 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_a))
rb_raise(rb_eArgError, "a (2th argument) must be NArray");
if (NA_RANK(rblapack_a) != 2)
rb_raise(rb_eArgError, "rank of a (2th argument) must be %d", 2);
lda = NA_SHAPE0(rblapack_a);
if (NA_SHAPE1(rblapack_a) != n)
rb_raise(rb_eRuntimeError, "shape 1 of a must be the same as shape 1 of af");
if (NA_TYPE(rblapack_a) != NA_SCOMPLEX)
rblapack_a = na_change_type(rblapack_a, NA_SCOMPLEX);
a = NA_PTR_TYPE(rblapack_a, complex*);
if (!NA_IsNArray(rblapack_x))
rb_raise(rb_eArgError, "x (6th argument) must be NArray");
if (NA_RANK(rblapack_x) != 2)
rb_raise(rb_eArgError, "rank of x (6th argument) must be %d", 2);
ldx = NA_SHAPE0(rblapack_x);
if (NA_SHAPE1(rblapack_x) != nrhs)
rb_raise(rb_eRuntimeError, "shape 1 of x must be the same as shape 1 of b");
if (NA_TYPE(rblapack_x) != NA_SCOMPLEX)
rblapack_x = na_change_type(rblapack_x, NA_SCOMPLEX);
x = NA_PTR_TYPE(rblapack_x, complex*);
if (!NA_IsNArray(rblapack_ipiv))
rb_raise(rb_eArgError, "ipiv (4th argument) must be NArray");
if (NA_RANK(rblapack_ipiv) != 1)
rb_raise(rb_eArgError, "rank of ipiv (4th 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 1 of af");
if (NA_TYPE(rblapack_ipiv) != NA_LINT)
rblapack_ipiv = na_change_type(rblapack_ipiv, NA_LINT);
ipiv = NA_PTR_TYPE(rblapack_ipiv, integer*);
{
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[2];
shape[0] = ldx;
shape[1] = nrhs;
rblapack_x_out__ = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
x_out__ = NA_PTR_TYPE(rblapack_x_out__, complex*);
MEMCPY(x_out__, x, complex, NA_TOTAL(rblapack_x));
rblapack_x = rblapack_x_out__;
x = x_out__;
work = ALLOC_N(complex, (2*n));
rwork = ALLOC_N(real, (n));
cherfs_(&uplo, &n, &nrhs, a, &lda, af, &ldaf, ipiv, b, &ldb, x, &ldx, ferr, berr, work, rwork, &info);
free(work);
free(rwork);
rblapack_info = INT2NUM(info);
return rb_ary_new3(4, rblapack_ferr, rblapack_berr, rblapack_info, rblapack_x);
}
void
init_lapack_cherfs(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "cherfs", rblapack_cherfs, -1);
}
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