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#include "rb_lapack.h"
extern VOID dstedc_(char* compz, integer* n, doublereal* d, doublereal* e, doublereal* z, integer* ldz, doublereal* work, integer* lwork, integer* iwork, integer* liwork, integer* info);
static VALUE
rblapack_dstedc(int argc, VALUE *argv, VALUE self){
VALUE rblapack_compz;
char compz;
VALUE rblapack_d;
doublereal *d;
VALUE rblapack_e;
doublereal *e;
VALUE rblapack_z;
doublereal *z;
VALUE rblapack_lwork;
integer lwork;
VALUE rblapack_liwork;
integer liwork;
VALUE rblapack_work;
doublereal *work;
VALUE rblapack_iwork;
integer *iwork;
VALUE rblapack_info;
integer info;
VALUE rblapack_d_out__;
doublereal *d_out__;
VALUE rblapack_e_out__;
doublereal *e_out__;
VALUE rblapack_z_out__;
doublereal *z_out__;
integer n;
integer ldz;
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 work, iwork, info, d, e, z = NumRu::Lapack.dstedc( compz, d, e, z, [:lwork => lwork, :liwork => liwork, :usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE DSTEDC( COMPZ, N, D, E, Z, LDZ, WORK, LWORK, IWORK, LIWORK, INFO )\n\n* Purpose\n* =======\n*\n* DSTEDC computes all eigenvalues and, optionally, eigenvectors of a\n* symmetric tridiagonal matrix using the divide and conquer method.\n* The eigenvectors of a full or band real symmetric matrix can also be\n* found if DSYTRD or DSPTRD or DSBTRD has been used to reduce this\n* matrix to tridiagonal form.\n*\n* This code makes very mild assumptions about floating point\n* arithmetic. It will work on machines with a guard digit in\n* add/subtract, or on those binary machines without guard digits\n* which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or Cray-2.\n* It could conceivably fail on hexadecimal or decimal machines\n* without guard digits, but we know of none. See DLAED3 for details.\n*\n\n* Arguments\n* =========\n*\n* COMPZ (input) CHARACTER*1\n* = 'N': Compute eigenvalues only.\n* = 'I': Compute eigenvectors of tridiagonal matrix also.\n* = 'V': Compute eigenvectors of original dense symmetric\n* matrix also. On entry, Z contains the orthogonal\n* matrix used to reduce the original matrix to\n* tridiagonal form.\n*\n* N (input) INTEGER\n* The dimension of the symmetric tridiagonal matrix. N >= 0.\n*\n* D (input/output) DOUBLE PRECISION array, dimension (N)\n* On entry, the diagonal elements of the tridiagonal matrix.\n* On exit, if INFO = 0, the eigenvalues in ascending order.\n*\n* E (input/output) DOUBLE PRECISION array, dimension (N-1)\n* On entry, the subdiagonal elements of the tridiagonal matrix.\n* On exit, E has been destroyed.\n*\n* Z (input/output) DOUBLE PRECISION array, dimension (LDZ,N)\n* On entry, if COMPZ = 'V', then Z contains the orthogonal\n* matrix used in the reduction to tridiagonal form.\n* On exit, if INFO = 0, then if COMPZ = 'V', Z contains the\n* orthonormal eigenvectors of the original symmetric matrix,\n* and if COMPZ = 'I', Z contains the orthonormal eigenvectors\n* of the symmetric tridiagonal matrix.\n* If COMPZ = 'N', then Z is not referenced.\n*\n* LDZ (input) INTEGER\n* The leading dimension of the array Z. LDZ >= 1.\n* If eigenvectors are desired, then LDZ >= max(1,N).\n*\n* WORK (workspace/output) DOUBLE PRECISION array,\n* dimension (LWORK)\n* On exit, if INFO = 0, WORK(1) returns the optimal LWORK.\n*\n* LWORK (input) INTEGER\n* The dimension of the array WORK.\n* If COMPZ = 'N' or N <= 1 then LWORK must be at least 1.\n* If COMPZ = 'V' and N > 1 then LWORK must be at least\n* ( 1 + 3*N + 2*N*lg N + 3*N**2 ),\n* where lg( N ) = smallest integer k such\n* that 2**k >= N.\n* If COMPZ = 'I' and N > 1 then LWORK must be at least\n* ( 1 + 4*N + N**2 ).\n* Note that for COMPZ = 'I' or 'V', then if N is less than or\n* equal to the minimum divide size, usually 25, then LWORK need\n* only be max(1,2*(N-1)).\n*\n* If LWORK = -1, then a workspace query is assumed; the routine\n* only calculates the optimal size of the WORK array, returns\n* this value as the first entry of the WORK array, and no error\n* message related to LWORK is issued by XERBLA.\n*\n* IWORK (workspace/output) INTEGER array, dimension (MAX(1,LIWORK))\n* On exit, if INFO = 0, IWORK(1) returns the optimal LIWORK.\n*\n* LIWORK (input) INTEGER\n* The dimension of the array IWORK.\n* If COMPZ = 'N' or N <= 1 then LIWORK must be at least 1.\n* If COMPZ = 'V' and N > 1 then LIWORK must be at least\n* ( 6 + 6*N + 5*N*lg N ).\n* If COMPZ = 'I' and N > 1 then LIWORK must be at least\n* ( 3 + 5*N ).\n* Note that for COMPZ = 'I' or 'V', then if N is less than or\n* equal to the minimum divide size, usually 25, then LIWORK\n* need only be 1.\n*\n* If LIWORK = -1, then a workspace query is assumed; the\n* routine only calculates the optimal size of the IWORK array,\n* returns this value as the first entry of the IWORK array, and\n* no error message related to LIWORK is issued by XERBLA.\n*\n* INFO (output) INTEGER\n* = 0: successful exit.\n* < 0: if INFO = -i, the i-th argument had an illegal value.\n* > 0: The algorithm failed to compute an eigenvalue while\n* working on the submatrix lying in rows and columns\n* INFO/(N+1) through mod(INFO,N+1).\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* Modified by Francoise Tisseur, University of Tennessee.\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n work, iwork, info, d, e, z = NumRu::Lapack.dstedc( compz, d, e, z, [:lwork => lwork, :liwork => liwork, :usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 4 && argc != 6)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 4)", argc);
rblapack_compz = argv[0];
rblapack_d = argv[1];
rblapack_e = argv[2];
rblapack_z = argv[3];
if (argc == 6) {
rblapack_lwork = argv[4];
rblapack_liwork = argv[5];
} else if (rblapack_options != Qnil) {
rblapack_lwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lwork")));
rblapack_liwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("liwork")));
} else {
rblapack_lwork = Qnil;
rblapack_liwork = Qnil;
}
compz = StringValueCStr(rblapack_compz)[0];
if (!NA_IsNArray(rblapack_z))
rb_raise(rb_eArgError, "z (4th argument) must be NArray");
if (NA_RANK(rblapack_z) != 2)
rb_raise(rb_eArgError, "rank of z (4th argument) must be %d", 2);
ldz = NA_SHAPE0(rblapack_z);
n = NA_SHAPE1(rblapack_z);
if (NA_TYPE(rblapack_z) != NA_DFLOAT)
rblapack_z = na_change_type(rblapack_z, NA_DFLOAT);
z = NA_PTR_TYPE(rblapack_z, doublereal*);
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 1 of z");
if (NA_TYPE(rblapack_d) != NA_DFLOAT)
rblapack_d = na_change_type(rblapack_d, NA_DFLOAT);
d = NA_PTR_TYPE(rblapack_d, doublereal*);
if (rblapack_lwork == Qnil)
lwork = (lsame_(&compz,"N")||n<=1) ? 1 : lsame_(&compz,"V") ? 1+3*n+2*n*LG(n)+3*n*n : lsame_(&compz,"I") ? 1+4*n+2*n*n : 0;
else {
lwork = NUM2INT(rblapack_lwork);
}
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_DFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_DFLOAT);
e = NA_PTR_TYPE(rblapack_e, doublereal*);
if (rblapack_liwork == Qnil)
liwork = (lsame_(&compz,"N")||n<=1) ? 1 : lsame_(&compz,"V") ? 6+6*n+5*n*LG(n) : lsame_(&compz,"I") ? 3+5*n : 0;
else {
liwork = NUM2INT(rblapack_liwork);
}
{
na_shape_t shape[1];
shape[0] = MAX(1,lwork);
rblapack_work = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
work = NA_PTR_TYPE(rblapack_work, doublereal*);
{
na_shape_t shape[1];
shape[0] = MAX(1,liwork);
rblapack_iwork = na_make_object(NA_LINT, 1, shape, cNArray);
}
iwork = NA_PTR_TYPE(rblapack_iwork, integer*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_d_out__ = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
d_out__ = NA_PTR_TYPE(rblapack_d_out__, doublereal*);
MEMCPY(d_out__, d, doublereal, NA_TOTAL(rblapack_d));
rblapack_d = rblapack_d_out__;
d = d_out__;
{
na_shape_t shape[1];
shape[0] = n-1;
rblapack_e_out__ = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
e_out__ = NA_PTR_TYPE(rblapack_e_out__, doublereal*);
MEMCPY(e_out__, e, doublereal, NA_TOTAL(rblapack_e));
rblapack_e = rblapack_e_out__;
e = e_out__;
{
na_shape_t shape[2];
shape[0] = ldz;
shape[1] = n;
rblapack_z_out__ = na_make_object(NA_DFLOAT, 2, shape, cNArray);
}
z_out__ = NA_PTR_TYPE(rblapack_z_out__, doublereal*);
MEMCPY(z_out__, z, doublereal, NA_TOTAL(rblapack_z));
rblapack_z = rblapack_z_out__;
z = z_out__;
dstedc_(&compz, &n, d, e, z, &ldz, work, &lwork, iwork, &liwork, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(6, rblapack_work, rblapack_iwork, rblapack_info, rblapack_d, rblapack_e, rblapack_z);
}
void
init_lapack_dstedc(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "dstedc", rblapack_dstedc, -1);
}
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