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#include "rb_lapack.h"
extern VOID slaed8_(integer* icompq, integer* k, integer* n, integer* qsiz, real* d, real* q, integer* ldq, integer* indxq, real* rho, integer* cutpnt, real* z, real* dlamda, real* q2, integer* ldq2, real* w, integer* perm, integer* givptr, integer* givcol, real* givnum, integer* indxp, integer* indx, integer* info);
static VALUE
rblapack_slaed8(int argc, VALUE *argv, VALUE self){
VALUE rblapack_icompq;
integer icompq;
VALUE rblapack_qsiz;
integer qsiz;
VALUE rblapack_d;
real *d;
VALUE rblapack_q;
real *q;
VALUE rblapack_ldq;
integer ldq;
VALUE rblapack_indxq;
integer *indxq;
VALUE rblapack_rho;
real rho;
VALUE rblapack_cutpnt;
integer cutpnt;
VALUE rblapack_z;
real *z;
VALUE rblapack_k;
integer k;
VALUE rblapack_dlamda;
real *dlamda;
VALUE rblapack_q2;
real *q2;
VALUE rblapack_w;
real *w;
VALUE rblapack_perm;
integer *perm;
VALUE rblapack_givptr;
integer givptr;
VALUE rblapack_givcol;
integer *givcol;
VALUE rblapack_givnum;
real *givnum;
VALUE rblapack_info;
integer info;
VALUE rblapack_d_out__;
real *d_out__;
VALUE rblapack_q_out__;
real *q_out__;
integer *indxp;
integer *indx;
integer n;
integer ldq2;
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 k, dlamda, q2, w, perm, givptr, givcol, givnum, info, d, q, rho = NumRu::Lapack.slaed8( icompq, qsiz, d, q, ldq, indxq, rho, cutpnt, z, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SLAED8( ICOMPQ, K, N, QSIZ, D, Q, LDQ, INDXQ, RHO, CUTPNT, Z, DLAMDA, Q2, LDQ2, W, PERM, GIVPTR, GIVCOL, GIVNUM, INDXP, INDX, INFO )\n\n* Purpose\n* =======\n*\n* SLAED8 merges the two sets of eigenvalues together into a single\n* sorted set. Then it tries to deflate the size of the problem.\n* There are two ways in which deflation can occur: when two or more\n* eigenvalues are close together or if there is a tiny element in the\n* Z vector. For each such occurrence the order of the related secular\n* equation problem is reduced by one.\n*\n\n* Arguments\n* =========\n*\n* ICOMPQ (input) INTEGER\n* = 0: Compute eigenvalues only.\n* = 1: Compute eigenvectors of original dense symmetric matrix\n* also. On entry, Q contains the orthogonal matrix used\n* to reduce the original matrix to tridiagonal form.\n*\n* K (output) INTEGER\n* The number of non-deflated eigenvalues, and the order of the\n* related secular equation.\n*\n* N (input) INTEGER\n* The dimension of the symmetric tridiagonal matrix. N >= 0.\n*\n* QSIZ (input) INTEGER\n* The dimension of the orthogonal matrix used to reduce\n* the full matrix to tridiagonal form. QSIZ >= N if ICOMPQ = 1.\n*\n* D (input/output) REAL array, dimension (N)\n* On entry, the eigenvalues of the two submatrices to be\n* combined. On exit, the trailing (N-K) updated eigenvalues\n* (those which were deflated) sorted into increasing order.\n*\n* Q (input/output) REAL array, dimension (LDQ,N)\n* If ICOMPQ = 0, Q is not referenced. Otherwise,\n* on entry, Q contains the eigenvectors of the partially solved\n* system which has been previously updated in matrix\n* multiplies with other partially solved eigensystems.\n* On exit, Q contains the trailing (N-K) updated eigenvectors\n* (those which were deflated) in its last N-K columns.\n*\n* LDQ (input) INTEGER\n* The leading dimension of the array Q. LDQ >= max(1,N).\n*\n* INDXQ (input) INTEGER array, dimension (N)\n* The permutation which separately sorts the two sub-problems\n* in D into ascending order. Note that elements in the second\n* half of this permutation must first have CUTPNT added to\n* their values in order to be accurate.\n*\n* RHO (input/output) REAL\n* On entry, the off-diagonal element associated with the rank-1\n* cut which originally split the two submatrices which are now\n* being recombined.\n* On exit, RHO has been modified to the value required by\n* SLAED3.\n*\n* CUTPNT (input) INTEGER\n* The location of the last eigenvalue in the leading\n* sub-matrix. min(1,N) <= CUTPNT <= N.\n*\n* Z (input) REAL array, dimension (N)\n* On entry, Z contains the updating vector (the last row of\n* the first sub-eigenvector matrix and the first row of the\n* second sub-eigenvector matrix).\n* On exit, the contents of Z are destroyed by the updating\n* process.\n*\n* DLAMDA (output) REAL array, dimension (N)\n* A copy of the first K eigenvalues which will be used by\n* SLAED3 to form the secular equation.\n*\n* Q2 (output) REAL array, dimension (LDQ2,N)\n* If ICOMPQ = 0, Q2 is not referenced. Otherwise,\n* a copy of the first K eigenvectors which will be used by\n* SLAED7 in a matrix multiply (SGEMM) to update the new\n* eigenvectors.\n*\n* LDQ2 (input) INTEGER\n* The leading dimension of the array Q2. LDQ2 >= max(1,N).\n*\n* W (output) REAL array, dimension (N)\n* The first k values of the final deflation-altered z-vector and\n* will be passed to SLAED3.\n*\n* PERM (output) INTEGER array, dimension (N)\n* The permutations (from deflation and sorting) to be applied\n* to each eigenblock.\n*\n* GIVPTR (output) INTEGER\n* The number of Givens rotations which took place in this\n* subproblem.\n*\n* GIVCOL (output) INTEGER array, dimension (2, N)\n* Each pair of numbers indicates a pair of columns to take place\n* in a Givens rotation.\n*\n* GIVNUM (output) REAL array, dimension (2, N)\n* Each number indicates the S value to be used in the\n* corresponding Givens rotation.\n*\n* INDXP (workspace) INTEGER array, dimension (N)\n* The permutation used to place deflated values of D at the end\n* of the array. INDXP(1:K) points to the nondeflated D-values\n* and INDXP(K+1:N) points to the deflated eigenvalues.\n*\n* INDX (workspace) INTEGER array, dimension (N)\n* The permutation used to sort the contents of D into ascending\n* order.\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* Based on contributions by\n* Jeff Rutter, Computer Science Division, University of California\n* at Berkeley, USA\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n k, dlamda, q2, w, perm, givptr, givcol, givnum, info, d, q, rho = NumRu::Lapack.slaed8( icompq, qsiz, d, q, ldq, indxq, rho, cutpnt, z, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 9 && argc != 9)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 9)", argc);
rblapack_icompq = argv[0];
rblapack_qsiz = argv[1];
rblapack_d = argv[2];
rblapack_q = argv[3];
rblapack_ldq = argv[4];
rblapack_indxq = argv[5];
rblapack_rho = argv[6];
rblapack_cutpnt = argv[7];
rblapack_z = argv[8];
if (argc == 9) {
} else if (rblapack_options != Qnil) {
} else {
}
icompq = NUM2INT(rblapack_icompq);
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (3th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (3th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_d);
if (NA_TYPE(rblapack_d) != NA_SFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_SFLOAT);
d = NA_PTR_TYPE(rblapack_d, real*);
ldq = NUM2INT(rblapack_ldq);
rho = (real)NUM2DBL(rblapack_rho);
if (!NA_IsNArray(rblapack_z))
rb_raise(rb_eArgError, "z (9th argument) must be NArray");
if (NA_RANK(rblapack_z) != 1)
rb_raise(rb_eArgError, "rank of z (9th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_z) != n)
rb_raise(rb_eRuntimeError, "shape 0 of z must be the same as shape 0 of d");
if (NA_TYPE(rblapack_z) != NA_SFLOAT)
rblapack_z = na_change_type(rblapack_z, NA_SFLOAT);
z = NA_PTR_TYPE(rblapack_z, real*);
qsiz = NUM2INT(rblapack_qsiz);
if (!NA_IsNArray(rblapack_indxq))
rb_raise(rb_eArgError, "indxq (6th argument) must be NArray");
if (NA_RANK(rblapack_indxq) != 1)
rb_raise(rb_eArgError, "rank of indxq (6th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_indxq) != n)
rb_raise(rb_eRuntimeError, "shape 0 of indxq must be the same as shape 0 of d");
if (NA_TYPE(rblapack_indxq) != NA_LINT)
rblapack_indxq = na_change_type(rblapack_indxq, NA_LINT);
indxq = NA_PTR_TYPE(rblapack_indxq, integer*);
ldq2 = MAX(1,n);
if (!NA_IsNArray(rblapack_q))
rb_raise(rb_eArgError, "q (4th argument) must be NArray");
if (NA_RANK(rblapack_q) != 2)
rb_raise(rb_eArgError, "rank of q (4th argument) must be %d", 2);
if (NA_SHAPE0(rblapack_q) != (icompq==0 ? 0 : ldq))
rb_raise(rb_eRuntimeError, "shape 0 of q must be %d", icompq==0 ? 0 : ldq);
if (NA_SHAPE1(rblapack_q) != (icompq==0 ? 0 : n))
rb_raise(rb_eRuntimeError, "shape 1 of q must be %d", icompq==0 ? 0 : n);
if (NA_TYPE(rblapack_q) != NA_SFLOAT)
rblapack_q = na_change_type(rblapack_q, NA_SFLOAT);
q = NA_PTR_TYPE(rblapack_q, real*);
cutpnt = NUM2INT(rblapack_cutpnt);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_dlamda = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
dlamda = NA_PTR_TYPE(rblapack_dlamda, real*);
{
na_shape_t shape[2];
shape[0] = icompq==0 ? 0 : ldq2;
shape[1] = icompq==0 ? 0 : n;
rblapack_q2 = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
q2 = NA_PTR_TYPE(rblapack_q2, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_w = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
w = NA_PTR_TYPE(rblapack_w, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_perm = na_make_object(NA_LINT, 1, shape, cNArray);
}
perm = NA_PTR_TYPE(rblapack_perm, integer*);
{
na_shape_t shape[2];
shape[0] = 2;
shape[1] = n;
rblapack_givcol = na_make_object(NA_LINT, 2, shape, cNArray);
}
givcol = NA_PTR_TYPE(rblapack_givcol, integer*);
{
na_shape_t shape[2];
shape[0] = 2;
shape[1] = n;
rblapack_givnum = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
givnum = NA_PTR_TYPE(rblapack_givnum, real*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_d_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
d_out__ = NA_PTR_TYPE(rblapack_d_out__, real*);
MEMCPY(d_out__, d, real, NA_TOTAL(rblapack_d));
rblapack_d = rblapack_d_out__;
d = d_out__;
{
na_shape_t shape[2];
shape[0] = icompq==0 ? 0 : ldq;
shape[1] = icompq==0 ? 0 : n;
rblapack_q_out__ = na_make_object(NA_SFLOAT, 2, shape, cNArray);
}
q_out__ = NA_PTR_TYPE(rblapack_q_out__, real*);
MEMCPY(q_out__, q, real, NA_TOTAL(rblapack_q));
rblapack_q = rblapack_q_out__;
q = q_out__;
indxp = ALLOC_N(integer, (n));
indx = ALLOC_N(integer, (n));
slaed8_(&icompq, &k, &n, &qsiz, d, q, &ldq, indxq, &rho, &cutpnt, z, dlamda, q2, &ldq2, w, perm, &givptr, givcol, givnum, indxp, indx, &info);
free(indxp);
free(indx);
rblapack_k = INT2NUM(k);
rblapack_givptr = INT2NUM(givptr);
rblapack_info = INT2NUM(info);
rblapack_rho = rb_float_new((double)rho);
return rb_ary_new3(12, rblapack_k, rblapack_dlamda, rblapack_q2, rblapack_w, rblapack_perm, rblapack_givptr, rblapack_givcol, rblapack_givnum, rblapack_info, rblapack_d, rblapack_q, rblapack_rho);
}
void
init_lapack_slaed8(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "slaed8", rblapack_slaed8, -1);
}
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