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#include "rb_lapack.h"
extern VOID cptrfs_(char* uplo, integer* n, integer* nrhs, real* d, complex* e, real* df, complex* ef, complex* b, integer* ldb, complex* x, integer* ldx, real* ferr, real* berr, complex* work, real* rwork, integer* info);
static VALUE
rblapack_cptrfs(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
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_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 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 ferr, berr, info, x = NumRu::Lapack.cptrfs( uplo, d, e, df, ef, b, x, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CPTRFS( UPLO, N, NRHS, D, E, DF, EF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* CPTRFS improves the computed solution to a system of linear\n* equations when the coefficient matrix is Hermitian positive definite\n* and tridiagonal, and provides error bounds and backward error\n* estimates for the solution.\n*\n\n* Arguments\n* =========\n*\n* UPLO (input) CHARACTER*1\n* Specifies whether the superdiagonal or the subdiagonal of the\n* tridiagonal matrix A is stored and the form of the\n* factorization:\n* = 'U': E is the superdiagonal of A, and A = U**H*D*U;\n* = 'L': E is the subdiagonal of A, and A = L*D*L**H.\n* (The two forms are equivalent if A is real.)\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 matrix B. NRHS >= 0.\n*\n* D (input) REAL array, dimension (N)\n* The n real diagonal elements of the tridiagonal matrix A.\n*\n* E (input) COMPLEX array, dimension (N-1)\n* The (n-1) off-diagonal elements of the tridiagonal matrix A\n* (see UPLO).\n*\n* DF (input) REAL array, dimension (N)\n* The n diagonal elements of the diagonal matrix D from\n* the factorization computed by CPTTRF.\n*\n* EF (input) COMPLEX array, dimension (N-1)\n* The (n-1) off-diagonal elements of the unit bidiagonal\n* factor U or L from the factorization computed by CPTTRF\n* (see UPLO).\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 CPTTRS.\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 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\n* any 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*\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.cptrfs( uplo, d, e, df, ef, b, x, [: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_uplo = argv[0];
rblapack_d = argv[1];
rblapack_e = argv[2];
rblapack_df = argv[3];
rblapack_ef = argv[4];
rblapack_b = argv[5];
rblapack_x = argv[6];
if (argc == 7) {
} else if (rblapack_options != Qnil) {
} else {
}
uplo = StringValueCStr(rblapack_uplo)[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*);
if (!NA_IsNArray(rblapack_x))
rb_raise(rb_eArgError, "x (7th argument) must be NArray");
if (NA_RANK(rblapack_x) != 2)
rb_raise(rb_eArgError, "rank of x (7th 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*);
{
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, (n));
rwork = ALLOC_N(real, (n));
cptrfs_(&uplo, &n, &nrhs, d, e, df, ef, 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_cptrfs(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "cptrfs", rblapack_cptrfs, -1);
}
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