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#include "rb_lapack.h"
extern VOID dsbtrd_(char* vect, char* uplo, integer* n, integer* kd, doublereal* ab, integer* ldab, doublereal* d, doublereal* e, doublereal* q, integer* ldq, doublereal* work, integer* info);
static VALUE
rblapack_dsbtrd(int argc, VALUE *argv, VALUE self){
VALUE rblapack_vect;
char vect;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_kd;
integer kd;
VALUE rblapack_ab;
doublereal *ab;
VALUE rblapack_q;
doublereal *q;
VALUE rblapack_d;
doublereal *d;
VALUE rblapack_e;
doublereal *e;
VALUE rblapack_info;
integer info;
VALUE rblapack_ab_out__;
doublereal *ab_out__;
VALUE rblapack_q_out__;
doublereal *q_out__;
doublereal *work;
integer ldab;
integer n;
integer ldq;
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 d, e, info, ab, q = NumRu::Lapack.dsbtrd( vect, uplo, kd, ab, q, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DSBTRD( VECT, UPLO, N, KD, AB, LDAB, D, E, Q, LDQ, WORK, INFO )\n\n* Purpose\n* =======\n*\n* DSBTRD reduces a real symmetric band matrix A to symmetric\n* tridiagonal form T by an orthogonal similarity transformation:\n* Q**T * A * Q = T.\n*\n\n* Arguments\n* =========\n*\n* VECT (input) CHARACTER*1\n* = 'N': do not form Q;\n* = 'V': form Q;\n* = 'U': update a matrix X, by forming X*Q.\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* AB (input/output) DOUBLE PRECISION array, dimension (LDAB,N)\n* On entry, the upper or lower triangle of the symmetric band\n* matrix A, stored in the first KD+1 rows of the array. The\n* j-th column of A is stored in the j-th column of the array AB\n* 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* On exit, the diagonal elements of AB are overwritten by the\n* diagonal elements of the tridiagonal matrix T; if KD > 0, the\n* elements on the first superdiagonal (if UPLO = 'U') or the\n* first subdiagonal (if UPLO = 'L') are overwritten by the\n* off-diagonal elements of T; the rest of AB is overwritten by\n* values generated during the reduction.\n*\n* LDAB (input) INTEGER\n* The leading dimension of the array AB. LDAB >= KD+1.\n*\n* D (output) DOUBLE PRECISION array, dimension (N)\n* The diagonal elements of the tridiagonal matrix T.\n*\n* E (output) DOUBLE PRECISION array, dimension (N-1)\n* The off-diagonal elements of the tridiagonal matrix T:\n* E(i) = T(i,i+1) if UPLO = 'U'; E(i) = T(i+1,i) if UPLO = 'L'.\n*\n* Q (input/output) DOUBLE PRECISION array, dimension (LDQ,N)\n* On entry, if VECT = 'U', then Q must contain an N-by-N\n* matrix X; if VECT = 'N' or 'V', then Q need not be set.\n*\n* On exit:\n* if VECT = 'V', Q contains the N-by-N orthogonal matrix Q;\n* if VECT = 'U', Q contains the product X*Q;\n* if VECT = 'N', the array Q is not referenced.\n*\n* LDQ (input) INTEGER\n* The leading dimension of the array Q.\n* LDQ >= 1, and LDQ >= N if VECT = 'V' or 'U'.\n*\n* WORK (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\n* Further Details\n* ===============\n*\n* Modified by Linda Kaufman, Bell Labs.\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n d, e, info, ab, q = NumRu::Lapack.dsbtrd( vect, uplo, kd, ab, q, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 5 && argc != 5)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 5)", argc);
rblapack_vect = argv[0];
rblapack_uplo = argv[1];
rblapack_kd = argv[2];
rblapack_ab = argv[3];
rblapack_q = argv[4];
if (argc == 5) {
} else if (rblapack_options != Qnil) {
} else {
}
vect = StringValueCStr(rblapack_vect)[0];
kd = NUM2INT(rblapack_kd);
if (!NA_IsNArray(rblapack_q))
rb_raise(rb_eArgError, "q (5th argument) must be NArray");
if (NA_RANK(rblapack_q) != 2)
rb_raise(rb_eArgError, "rank of q (5th argument) must be %d", 2);
ldq = NA_SHAPE0(rblapack_q);
n = NA_SHAPE1(rblapack_q);
if (NA_TYPE(rblapack_q) != NA_DFLOAT)
rblapack_q = na_change_type(rblapack_q, NA_DFLOAT);
q = NA_PTR_TYPE(rblapack_q, doublereal*);
uplo = StringValueCStr(rblapack_uplo)[0];
if (!NA_IsNArray(rblapack_ab))
rb_raise(rb_eArgError, "ab (4th argument) must be NArray");
if (NA_RANK(rblapack_ab) != 2)
rb_raise(rb_eArgError, "rank of ab (4th argument) must be %d", 2);
ldab = NA_SHAPE0(rblapack_ab);
if (NA_SHAPE1(rblapack_ab) != n)
rb_raise(rb_eRuntimeError, "shape 1 of ab must be the same as shape 1 of q");
if (NA_TYPE(rblapack_ab) != NA_DFLOAT)
rblapack_ab = na_change_type(rblapack_ab, NA_DFLOAT);
ab = NA_PTR_TYPE(rblapack_ab, doublereal*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_d = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
d = NA_PTR_TYPE(rblapack_d, doublereal*);
{
na_shape_t shape[1];
shape[0] = n-1;
rblapack_e = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
e = NA_PTR_TYPE(rblapack_e, doublereal*);
{
na_shape_t shape[2];
shape[0] = ldab;
shape[1] = n;
rblapack_ab_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
ab_out__ = NA_PTR_TYPE(rblapack_ab_out__, doublereal*);
MEMCPY(ab_out__, ab, doublereal, NA_TOTAL(rblapack_ab));
rblapack_ab = rblapack_ab_out__;
ab = ab_out__;
{
na_shape_t shape[2];
shape[0] = ldq;
shape[1] = n;
rblapack_q_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
q_out__ = NA_PTR_TYPE(rblapack_q_out__, doublereal*);
MEMCPY(q_out__, q, doublereal, NA_TOTAL(rblapack_q));
rblapack_q = rblapack_q_out__;
q = q_out__;
work = ALLOC_N(doublereal, (n));
dsbtrd_(&vect, &uplo, &n, &kd, ab, &ldab, d, e, q, &ldq, work, &info);
free(work);
rblapack_info = INT2NUM(info);
return rb_ary_new3(5, rblapack_d, rblapack_e, rblapack_info, rblapack_ab, rblapack_q);
}
void
init_lapack_dsbtrd(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dsbtrd", rblapack_dsbtrd, -1);
}
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