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#include "rb_lapack.h"
extern VOID zpbrfs_(char* uplo, integer* n, integer* kd, integer* nrhs, doublecomplex* ab, integer* ldab, doublecomplex* afb, integer* ldafb, doublecomplex* b, integer* ldb, doublecomplex* x, integer* ldx, doublereal* ferr, doublereal* berr, doublecomplex* work, doublereal* rwork, integer* info);
static VALUE
rblapack_zpbrfs(int argc, VALUE *argv, VALUE self){
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_kd;
integer kd;
VALUE rblapack_ab;
doublecomplex *ab;
VALUE rblapack_afb;
doublecomplex *afb;
VALUE rblapack_b;
doublecomplex *b;
VALUE rblapack_x;
doublecomplex *x;
VALUE rblapack_ferr;
doublereal *ferr;
VALUE rblapack_berr;
doublereal *berr;
VALUE rblapack_info;
integer info;
VALUE rblapack_x_out__;
doublecomplex *x_out__;
doublecomplex *work;
doublereal *rwork;
integer ldab;
integer n;
integer ldafb;
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.zpbrfs( uplo, kd, ab, afb, b, x, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE ZPBRFS( UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO )\n\n* Purpose\n* =======\n*\n* ZPBRFS improves the computed solution to a system of linear\n* equations when the coefficient matrix is Hermitian positive definite\n* and banded, and provides error bounds and backward error estimates\n* 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* KD (input) INTEGER\n* The number of superdiagonals of the matrix A if UPLO = 'U',\n* or the number of subdiagonals if UPLO = 'L'. KD >= 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* AB (input) DOUBLE PRECISION array, dimension (LDAB,N)\n* The upper or lower triangle of the Hermitian band matrix A,\n* stored in the first KD+1 rows of the array. The j-th column\n* of A is stored in the j-th column of the array AB as follows:\n* if UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j;\n* if UPLO = 'L', AB(1+i-j,j) = A(i,j) for j<=i<=min(n,j+kd).\n*\n* LDAB (input) INTEGER\n* The leading dimension of the array AB. LDAB >= KD+1.\n*\n* AFB (input) COMPLEX*16 array, dimension (LDAFB,N)\n* The triangular factor U or L from the Cholesky factorization\n* A = U**H*U or A = L*L**H of the band matrix A as computed by\n* ZPBTRF, in the same storage format as A (see AB).\n*\n* LDAFB (input) INTEGER\n* The leading dimension of the array AFB. LDAFB >= KD+1.\n*\n* B (input) COMPLEX*16 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*16 array, dimension (LDX,NRHS)\n* On entry, the solution matrix X, as computed by ZPBTRS.\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) DOUBLE PRECISION 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) DOUBLE PRECISION 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*16 array, dimension (2*N)\n*\n* RWORK (workspace) DOUBLE PRECISION 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.zpbrfs( uplo, kd, ab, afb, 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_kd = argv[1];
rblapack_ab = argv[2];
rblapack_afb = 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_ab))
rb_raise(rb_eArgError, "ab (3th argument) must be NArray");
if (NA_RANK(rblapack_ab) != 2)
rb_raise(rb_eArgError, "rank of ab (3th argument) must be %d", 2);
ldab = NA_SHAPE0(rblapack_ab);
n = NA_SHAPE1(rblapack_ab);
if (NA_TYPE(rblapack_ab) != NA_DCOMPLEX)
rblapack_ab = na_change_type(rblapack_ab, NA_DCOMPLEX);
ab = NA_PTR_TYPE(rblapack_ab, doublecomplex*);
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_DCOMPLEX)
rblapack_b = na_change_type(rblapack_b, NA_DCOMPLEX);
b = NA_PTR_TYPE(rblapack_b, doublecomplex*);
kd = NUM2INT(rblapack_kd);
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_DCOMPLEX)
rblapack_x = na_change_type(rblapack_x, NA_DCOMPLEX);
x = NA_PTR_TYPE(rblapack_x, doublecomplex*);
if (!NA_IsNArray(rblapack_afb))
rb_raise(rb_eArgError, "afb (4th argument) must be NArray");
if (NA_RANK(rblapack_afb) != 2)
rb_raise(rb_eArgError, "rank of afb (4th argument) must be %d", 2);
ldafb = NA_SHAPE0(rblapack_afb);
if (NA_SHAPE1(rblapack_afb) != n)
rb_raise(rb_eRuntimeError, "shape 1 of afb must be the same as shape 1 of ab");
if (NA_TYPE(rblapack_afb) != NA_DCOMPLEX)
rblapack_afb = na_change_type(rblapack_afb, NA_DCOMPLEX);
afb = NA_PTR_TYPE(rblapack_afb, doublecomplex*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_ferr = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
ferr = NA_PTR_TYPE(rblapack_ferr, doublereal*);
{
na_shape_t shape[1];
shape[0] = nrhs;
rblapack_berr = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
berr = NA_PTR_TYPE(rblapack_berr, doublereal*);
{
na_shape_t shape[2];
shape[0] = ldx;
shape[1] = nrhs;
rblapack_x_out__ = na_make_object(NA_DCOMPLEX, 2, shape, cNArray);
}
x_out__ = NA_PTR_TYPE(rblapack_x_out__, doublecomplex*);
MEMCPY(x_out__, x, doublecomplex, NA_TOTAL(rblapack_x));
rblapack_x = rblapack_x_out__;
x = x_out__;
work = ALLOC_N(doublecomplex, (2*n));
rwork = ALLOC_N(doublereal, (n));
zpbrfs_(&uplo, &n, &kd, &nrhs, ab, &ldab, afb, &ldafb, 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_zpbrfs(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "zpbrfs", rblapack_zpbrfs, -1);
}
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