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#include "rb_lapack.h"
extern VOID cggbak_(char* job, char* side, integer* n, integer* ilo, integer* ihi, real* lscale, real* rscale, integer* m, complex* v, integer* ldv, integer* info);
static VALUE
rblapack_cggbak(int argc, VALUE *argv, VALUE self){
VALUE rblapack_job;
char job;
VALUE rblapack_side;
char side;
VALUE rblapack_ilo;
integer ilo;
VALUE rblapack_ihi;
integer ihi;
VALUE rblapack_lscale;
real *lscale;
VALUE rblapack_rscale;
real *rscale;
VALUE rblapack_v;
complex *v;
VALUE rblapack_info;
integer info;
VALUE rblapack_v_out__;
complex *v_out__;
integer n;
integer ldv;
integer m;
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 info, v = NumRu::Lapack.cggbak( job, side, ilo, ihi, lscale, rscale, v, [:usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE CGGBAK( JOB, SIDE, N, ILO, IHI, LSCALE, RSCALE, M, V, LDV, INFO )\n\n* Purpose\n* =======\n*\n* CGGBAK forms the right or left eigenvectors of a complex generalized\n* eigenvalue problem A*x = lambda*B*x, by backward transformation on\n* the computed eigenvectors of the balanced pair of matrices output by\n* CGGBAL.\n*\n\n* Arguments\n* =========\n*\n* JOB (input) CHARACTER*1\n* Specifies the type of backward transformation required:\n* = 'N': do nothing, return immediately;\n* = 'P': do backward transformation for permutation only;\n* = 'S': do backward transformation for scaling only;\n* = 'B': do backward transformations for both permutation and\n* scaling.\n* JOB must be the same as the argument JOB supplied to CGGBAL.\n*\n* SIDE (input) CHARACTER*1\n* = 'R': V contains right eigenvectors;\n* = 'L': V contains left eigenvectors.\n*\n* N (input) INTEGER\n* The number of rows of the matrix V. N >= 0.\n*\n* ILO (input) INTEGER\n* IHI (input) INTEGER\n* The integers ILO and IHI determined by CGGBAL.\n* 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.\n*\n* LSCALE (input) REAL array, dimension (N)\n* Details of the permutations and/or scaling factors applied\n* to the left side of A and B, as returned by CGGBAL.\n*\n* RSCALE (input) REAL array, dimension (N)\n* Details of the permutations and/or scaling factors applied\n* to the right side of A and B, as returned by CGGBAL.\n*\n* M (input) INTEGER\n* The number of columns of the matrix V. M >= 0.\n*\n* V (input/output) COMPLEX array, dimension (LDV,M)\n* On entry, the matrix of right or left eigenvectors to be\n* transformed, as returned by CTGEVC.\n* On exit, V is overwritten by the transformed eigenvectors.\n*\n* LDV (input) INTEGER\n* The leading dimension of the matrix V. LDV >= 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*\n\n* Further Details\n* ===============\n*\n* See R.C. Ward, Balancing the generalized eigenvalue problem,\n* SIAM J. Sci. Stat. Comp. 2 (1981), 141-152.\n*\n* =====================================================================\n*\n* .. Local Scalars ..\n LOGICAL LEFTV, RIGHTV\n INTEGER I, K\n* ..\n* .. External Functions ..\n LOGICAL LSAME\n EXTERNAL LSAME\n* ..\n* .. External Subroutines ..\n EXTERNAL CSSCAL, CSWAP, 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 info, v = NumRu::Lapack.cggbak( job, side, ilo, ihi, lscale, rscale, v, [:usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 7 && argc != 7)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 7)", argc);
rblapack_job = argv[0];
rblapack_side = argv[1];
rblapack_ilo = argv[2];
rblapack_ihi = argv[3];
rblapack_lscale = argv[4];
rblapack_rscale = argv[5];
rblapack_v = argv[6];
if (argc == 7) {
} else if (rblapack_options != Qnil) {
} else {
}
job = StringValueCStr(rblapack_job)[0];
ilo = NUM2INT(rblapack_ilo);
if (!NA_IsNArray(rblapack_lscale))
rb_raise(rb_eArgError, "lscale (5th argument) must be NArray");
if (NA_RANK(rblapack_lscale) != 1)
rb_raise(rb_eArgError, "rank of lscale (5th argument) must be %d", 1);
n = NA_SHAPE0(rblapack_lscale);
if (NA_TYPE(rblapack_lscale) != NA_SFLOAT)
rblapack_lscale = na_change_type(rblapack_lscale, NA_SFLOAT);
lscale = NA_PTR_TYPE(rblapack_lscale, real*);
if (!NA_IsNArray(rblapack_v))
rb_raise(rb_eArgError, "v (7th argument) must be NArray");
if (NA_RANK(rblapack_v) != 2)
rb_raise(rb_eArgError, "rank of v (7th argument) must be %d", 2);
ldv = NA_SHAPE0(rblapack_v);
m = NA_SHAPE1(rblapack_v);
if (NA_TYPE(rblapack_v) != NA_SCOMPLEX)
rblapack_v = na_change_type(rblapack_v, NA_SCOMPLEX);
v = NA_PTR_TYPE(rblapack_v, complex*);
side = StringValueCStr(rblapack_side)[0];
if (!NA_IsNArray(rblapack_rscale))
rb_raise(rb_eArgError, "rscale (6th argument) must be NArray");
if (NA_RANK(rblapack_rscale) != 1)
rb_raise(rb_eArgError, "rank of rscale (6th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_rscale) != n)
rb_raise(rb_eRuntimeError, "shape 0 of rscale must be the same as shape 0 of lscale");
if (NA_TYPE(rblapack_rscale) != NA_SFLOAT)
rblapack_rscale = na_change_type(rblapack_rscale, NA_SFLOAT);
rscale = NA_PTR_TYPE(rblapack_rscale, real*);
ihi = NUM2INT(rblapack_ihi);
{
na_shape_t shape[2];
shape[0] = ldv;
shape[1] = m;
rblapack_v_out__ = na_make_object(NA_SCOMPLEX, 2, shape, cNArray);
}
v_out__ = NA_PTR_TYPE(rblapack_v_out__, complex*);
MEMCPY(v_out__, v, complex, NA_TOTAL(rblapack_v));
rblapack_v = rblapack_v_out__;
v = v_out__;
cggbak_(&job, &side, &n, &ilo, &ihi, lscale, rscale, &m, v, &ldv, &info);
rblapack_info = INT2NUM(info);
return rb_ary_new3(2, rblapack_info, rblapack_v);
}
void
init_lapack_cggbak(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "cggbak", rblapack_cggbak, -1);
}
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