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#include "rb_lapack.h"
extern VOID sgbsv_(integer* n, integer* kl, integer* ku, integer* nrhs, real* ab, integer* ldab, integer* ipiv, real* b, integer* ldb, integer* info);
static VALUE
rblapack_sgbsv(int argc, VALUE *argv, VALUE self){
VALUE rblapack_kl;
integer kl;
VALUE rblapack_ku;
integer ku;
VALUE rblapack_ab;
real *ab;
VALUE rblapack_b;
real *b;
VALUE rblapack_ipiv;
integer *ipiv;
VALUE rblapack_info;
integer info;
VALUE rblapack_ab_out__;
real *ab_out__;
VALUE rblapack_b_out__;
real *b_out__;
integer ldab;
integer n;
integer ldb;
integer nrhs;
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 ipiv, info, ab, b = NumRu::Lapack.sgbsv( kl, ku, ab, b, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SGBSV( N, KL, KU, NRHS, AB, LDAB, IPIV, B, LDB, INFO )\n\n* Purpose\n* =======\n*\n* SGBSV computes the solution to a real system of linear equations\n* A * X = B, where A is a band matrix of order N with KL subdiagonals\n* and KU superdiagonals, and X and B are N-by-NRHS matrices.\n*\n* The LU decomposition with partial pivoting and row interchanges is\n* used to factor A as A = L * U, where L is a product of permutation\n* and unit lower triangular matrices with KL subdiagonals, and U is\n* upper triangular with KL+KU superdiagonals. The factored form of A\n* is then used to solve the system of equations A * X = B.\n*\n\n* Arguments\n* =========\n*\n* N (input) INTEGER\n* The number of linear equations, i.e., the order of the\n* matrix A. N >= 0.\n*\n* KL (input) INTEGER\n* The number of subdiagonals within the band of A. KL >= 0.\n*\n* KU (input) INTEGER\n* The number of superdiagonals within the band of A. KU >= 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* AB (input/output) REAL array, dimension (LDAB,N)\n* On entry, the matrix A in band storage, in rows KL+1 to\n* 2*KL+KU+1; rows 1 to KL of the array need not be set.\n* The j-th column of A is stored in the j-th column of the\n* array AB as follows:\n* AB(KL+KU+1+i-j,j) = A(i,j) for max(1,j-KU)<=i<=min(N,j+KL)\n* On exit, details of the factorization: U is stored as an\n* upper triangular band matrix with KL+KU superdiagonals in\n* rows 1 to KL+KU+1, and the multipliers used during the\n* factorization are stored in rows KL+KU+2 to 2*KL+KU+1.\n* See below for further details.\n*\n* LDAB (input) INTEGER\n* The leading dimension of the array AB. LDAB >= 2*KL+KU+1.\n*\n* IPIV (output) INTEGER array, dimension (N)\n* The pivot indices that define the permutation matrix P;\n* row i of the matrix was interchanged with row IPIV(i).\n*\n* B (input/output) REAL array, dimension (LDB,NRHS)\n* On entry, the N-by-NRHS right hand side matrix B.\n* On exit, if INFO = 0, the N-by-NRHS solution matrix X.\n*\n* LDB (input) INTEGER\n* The leading dimension of the array B. LDB >= max(1,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, U(i,i) is exactly zero. The factorization\n* has been completed, but the factor U is exactly\n* singular, and the solution has not been computed.\n*\n\n* Further Details\n* ===============\n*\n* The band storage scheme is illustrated by the following example, when\n* M = N = 6, KL = 2, KU = 1:\n*\n* On entry: On exit:\n*\n* * * * + + + * * * u14 u25 u36\n* * * + + + + * * u13 u24 u35 u46\n* * a12 a23 a34 a45 a56 * u12 u23 u34 u45 u56\n* a11 a22 a33 a44 a55 a66 u11 u22 u33 u44 u55 u66\n* a21 a32 a43 a54 a65 * m21 m32 m43 m54 m65 *\n* a31 a42 a53 a64 * * m31 m42 m53 m64 * *\n*\n* Array elements marked * are not used by the routine; elements marked\n* + need not be set on entry, but are required by the routine to store\n* elements of U because of fill-in resulting from the row interchanges.\n*\n* =====================================================================\n*\n* .. External Subroutines ..\n EXTERNAL SGBTRF, SGBTRS, XERBLA\n* ..\n* .. Intrinsic Functions ..\n INTRINSIC MAX\n* ..\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n ipiv, info, ab, b = NumRu::Lapack.sgbsv( kl, ku, ab, b, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 4 && argc != 4)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 4)", argc);
rblapack_kl = argv[0];
rblapack_ku = argv[1];
rblapack_ab = argv[2];
rblapack_b = argv[3];
if (argc == 4) {
} else if (rblapack_options != Qnil) {
} else {
}
kl = NUM2INT(rblapack_kl);
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_SFLOAT)
rblapack_ab = na_change_type(rblapack_ab, NA_SFLOAT);
ab = NA_PTR_TYPE(rblapack_ab, real*);
ku = NUM2INT(rblapack_ku);
if (!NA_IsNArray(rblapack_b))
rb_raise(rb_eArgError, "b (4th argument) must be NArray");
if (NA_RANK(rblapack_b) != 2)
rb_raise(rb_eArgError, "rank of b (4th argument) must be %d", 2);
ldb = NA_SHAPE0(rblapack_b);
nrhs = NA_SHAPE1(rblapack_b);
if (NA_TYPE(rblapack_b) != NA_SFLOAT)
rblapack_b = na_change_type(rblapack_b, NA_SFLOAT);
b = NA_PTR_TYPE(rblapack_b, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_ipiv = na_make_object(NA_LINT, 1, shape, cNArray);
}
ipiv = NA_PTR_TYPE(rblapack_ipiv, integer*);
{
na_shape_t shape[2];
shape[0] = ldab;
shape[1] = n;
rblapack_ab_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
ab_out__ = NA_PTR_TYPE(rblapack_ab_out__, real*);
MEMCPY(ab_out__, ab, real, NA_TOTAL(rblapack_ab));
rblapack_ab = rblapack_ab_out__;
ab = ab_out__;
{
na_shape_t shape[2];
shape[0] = ldb;
shape[1] = nrhs;
rblapack_b_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
b_out__ = NA_PTR_TYPE(rblapack_b_out__, real*);
MEMCPY(b_out__, b, real, NA_TOTAL(rblapack_b));
rblapack_b = rblapack_b_out__;
b = b_out__;
sgbsv_(&n, &kl, &ku, &nrhs, ab, &ldab, ipiv, b, &ldb, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(4, rblapack_ipiv, rblapack_info, rblapack_ab, rblapack_b);
}
void
init_lapack_sgbsv(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "sgbsv", rblapack_sgbsv, -1);
}
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