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#include "rb_lapack.h"
extern VOID slarra_(integer* n, real* d, real* e, real* e2, real* spltol, real* tnrm, integer* nsplit, integer* isplit, integer* info);
static VALUE
rblapack_slarra(int argc, VALUE *argv, VALUE self){
VALUE rblapack_d;
real *d;
VALUE rblapack_e;
real *e;
VALUE rblapack_e2;
real *e2;
VALUE rblapack_spltol;
real spltol;
VALUE rblapack_tnrm;
real tnrm;
VALUE rblapack_nsplit;
integer nsplit;
VALUE rblapack_isplit;
integer *isplit;
VALUE rblapack_info;
integer info;
VALUE rblapack_e_out__;
real *e_out__;
VALUE rblapack_e2_out__;
real *e2_out__;
integer n;
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 nsplit, isplit, info, e, e2 = NumRu::Lapack.slarra( d, e, e2, spltol, tnrm, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE SLARRA( N, D, E, E2, SPLTOL, TNRM, NSPLIT, ISPLIT, INFO )\n\n* Purpose\n* =======\n*\n* Compute the splitting points with threshold SPLTOL.\n* SLARRA sets any \"small\" off-diagonal elements to zero.\n*\n\n* Arguments\n* =========\n*\n* N (input) INTEGER\n* The order of the matrix. N > 0.\n*\n* D (input) REAL array, dimension (N)\n* On entry, the N diagonal elements of the tridiagonal\n* matrix T.\n*\n* E (input/output) REAL array, dimension (N)\n* On entry, the first (N-1) entries contain the subdiagonal\n* elements of the tridiagonal matrix T; E(N) need not be set.\n* On exit, the entries E( ISPLIT( I ) ), 1 <= I <= NSPLIT,\n* are set to zero, the other entries of E are untouched.\n*\n* E2 (input/output) REAL array, dimension (N)\n* On entry, the first (N-1) entries contain the SQUARES of the\n* subdiagonal elements of the tridiagonal matrix T;\n* E2(N) need not be set.\n* On exit, the entries E2( ISPLIT( I ) ),\n* 1 <= I <= NSPLIT, have been set to zero\n*\n* SPLTOL (input) REAL \n* The threshold for splitting. Two criteria can be used:\n* SPLTOL<0 : criterion based on absolute off-diagonal value\n* SPLTOL>0 : criterion that preserves relative accuracy\n*\n* TNRM (input) REAL \n* The norm of the matrix.\n*\n* NSPLIT (output) INTEGER\n* The number of blocks T splits into. 1 <= NSPLIT <= N.\n*\n* ISPLIT (output) INTEGER array, dimension (N)\n* The splitting points, at which T breaks up into blocks.\n* The first block consists of rows/columns 1 to ISPLIT(1),\n* the second of rows/columns ISPLIT(1)+1 through ISPLIT(2),\n* etc., and the NSPLIT-th consists of rows/columns\n* ISPLIT(NSPLIT-1)+1 through ISPLIT(NSPLIT)=N.\n*\n*\n* INFO (output) INTEGER\n* = 0: successful exit\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* Beresford Parlett, University of California, Berkeley, USA\n* Jim Demmel, University of California, Berkeley, USA\n* Inderjit Dhillon, University of Texas, Austin, USA\n* Osni Marques, LBNL/NERSC, USA\n* Christof Voemel, University of California, Berkeley, USA\n*\n* =====================================================================\n*\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n nsplit, isplit, info, e, e2 = NumRu::Lapack.slarra( d, e, e2, spltol, tnrm, [: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_d = argv[0];
rblapack_e = argv[1];
rblapack_e2 = argv[2];
rblapack_spltol = argv[3];
rblapack_tnrm = argv[4];
if (argc == 5) {
} else if (rblapack_options != Qnil) {
} else {
}
if (!NA_IsNArray(rblapack_d))
rb_raise(rb_eArgError, "d (1th argument) must be NArray");
if (NA_RANK(rblapack_d) != 1)
rb_raise(rb_eArgError, "rank of d (1th 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*);
if (!NA_IsNArray(rblapack_e2))
rb_raise(rb_eArgError, "e2 (3th argument) must be NArray");
if (NA_RANK(rblapack_e2) != 1)
rb_raise(rb_eArgError, "rank of e2 (3th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_e2) != n)
rb_raise(rb_eRuntimeError, "shape 0 of e2 must be the same as shape 0 of d");
if (NA_TYPE(rblapack_e2) != NA_SFLOAT)
rblapack_e2 = na_change_type(rblapack_e2, NA_SFLOAT);
e2 = NA_PTR_TYPE(rblapack_e2, real*);
tnrm = (real)NUM2DBL(rblapack_tnrm);
if (!NA_IsNArray(rblapack_e))
rb_raise(rb_eArgError, "e (2th argument) must be NArray");
if (NA_RANK(rblapack_e) != 1)
rb_raise(rb_eArgError, "rank of e (2th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_e) != n)
rb_raise(rb_eRuntimeError, "shape 0 of e must be the same as shape 0 of d");
if (NA_TYPE(rblapack_e) != NA_SFLOAT)
rblapack_e = na_change_type(rblapack_e, NA_SFLOAT);
e = NA_PTR_TYPE(rblapack_e, real*);
spltol = (real)NUM2DBL(rblapack_spltol);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_isplit = na_make_object(NA_LINT, 1, shape, cNArray);
}
isplit = NA_PTR_TYPE(rblapack_isplit, integer*);
{
na_shape_t shape[1];
shape[0] = n;
rblapack_e_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
e_out__ = NA_PTR_TYPE(rblapack_e_out__, real*);
MEMCPY(e_out__, e, real, NA_TOTAL(rblapack_e));
rblapack_e = rblapack_e_out__;
e = e_out__;
{
na_shape_t shape[1];
shape[0] = n;
rblapack_e2_out__ = na_make_object(NA_SFLOAT, 1, shape, cNArray);
}
e2_out__ = NA_PTR_TYPE(rblapack_e2_out__, real*);
MEMCPY(e2_out__, e2, real, NA_TOTAL(rblapack_e2));
rblapack_e2 = rblapack_e2_out__;
e2 = e2_out__;
slarra_(&n, d, e, e2, &spltol, &tnrm, &nsplit, isplit, &info);
rblapack_nsplit = INT2NUM(nsplit);
rblapack_info = INT2NUM(info);
return rb_ary_new3(5, rblapack_nsplit, rblapack_isplit, rblapack_info, rblapack_e, rblapack_e2);
}
void
init_lapack_slarra(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "slarra", rblapack_slarra, -1);
}
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