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#include "rb_lapack.h"
extern VOID zhpgvd_(integer* itype, char* jobz, char* uplo, integer* n, doublecomplex* ap, doublecomplex* bp, doublereal* w, doublecomplex* z, integer* ldz, doublecomplex* work, integer* lwork, doublereal* rwork, integer* lrwork, integer* iwork, integer* liwork, integer* info);
static VALUE
rblapack_zhpgvd(int argc, VALUE *argv, VALUE self){
VALUE rblapack_itype;
integer itype;
VALUE rblapack_jobz;
char jobz;
VALUE rblapack_uplo;
char uplo;
VALUE rblapack_ap;
doublecomplex *ap;
VALUE rblapack_bp;
doublecomplex *bp;
VALUE rblapack_lwork;
integer lwork;
VALUE rblapack_lrwork;
integer lrwork;
VALUE rblapack_liwork;
integer liwork;
VALUE rblapack_w;
doublereal *w;
VALUE rblapack_z;
doublecomplex *z;
VALUE rblapack_iwork;
integer *iwork;
VALUE rblapack_info;
integer info;
VALUE rblapack_ap_out__;
doublecomplex *ap_out__;
VALUE rblapack_bp_out__;
doublecomplex *bp_out__;
doublecomplex *work;
doublereal *rwork;
integer ldap;
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 w, z, iwork, info, ap, bp = NumRu::Lapack.zhpgvd( itype, jobz, uplo, ap, bp, [:lwork => lwork, :lrwork => lrwork, :liwork => liwork, :usage => usage, :help => help])\n\n\nFORTRAN MANUAL\n SUBROUTINE ZHPGVD( ITYPE, JOBZ, UPLO, N, AP, BP, W, Z, LDZ, WORK, LWORK, RWORK, LRWORK, IWORK, LIWORK, INFO )\n\n* Purpose\n* =======\n*\n* ZHPGVD computes all the eigenvalues and, optionally, the eigenvectors\n* of a complex generalized Hermitian-definite eigenproblem, of the form\n* A*x=(lambda)*B*x, A*Bx=(lambda)*x, or B*A*x=(lambda)*x. Here A and\n* B are assumed to be Hermitian, stored in packed format, and B is also\n* positive definite.\n* If eigenvectors are desired, it uses a divide and conquer algorithm.\n*\n* The divide and conquer algorithm makes very mild assumptions about\n* floating point arithmetic. It will work on machines with a guard\n* digit in add/subtract, or on those binary machines without guard\n* digits which subtract like the Cray X-MP, Cray Y-MP, Cray C-90, or\n* Cray-2. It could conceivably fail on hexadecimal or decimal machines\n* without guard digits, but we know of none.\n*\n\n* Arguments\n* =========\n*\n* ITYPE (input) INTEGER\n* Specifies the problem type to be solved:\n* = 1: A*x = (lambda)*B*x\n* = 2: A*B*x = (lambda)*x\n* = 3: B*A*x = (lambda)*x\n*\n* JOBZ (input) CHARACTER*1\n* = 'N': Compute eigenvalues only;\n* = 'V': Compute eigenvalues and eigenvectors.\n*\n* UPLO (input) CHARACTER*1\n* = 'U': Upper triangles of A and B are stored;\n* = 'L': Lower triangles of A and B are stored.\n*\n* N (input) INTEGER\n* The order of the matrices A and B. N >= 0.\n*\n* AP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)\n* On entry, the upper or lower triangle of the Hermitian matrix\n* A, packed columnwise in a linear array. The j-th column of A\n* is stored in the array AP as follows:\n* if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;\n* if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.\n*\n* On exit, the contents of AP are destroyed.\n*\n* BP (input/output) COMPLEX*16 array, dimension (N*(N+1)/2)\n* On entry, the upper or lower triangle of the Hermitian matrix\n* B, packed columnwise in a linear array. The j-th column of B\n* is stored in the array BP as follows:\n* if UPLO = 'U', BP(i + (j-1)*j/2) = B(i,j) for 1<=i<=j;\n* if UPLO = 'L', BP(i + (j-1)*(2*n-j)/2) = B(i,j) for j<=i<=n.\n*\n* On exit, the triangular factor U or L from the Cholesky\n* factorization B = U**H*U or B = L*L**H, in the same storage\n* format as B.\n*\n* W (output) DOUBLE PRECISION array, dimension (N)\n* If INFO = 0, the eigenvalues in ascending order.\n*\n* Z (output) COMPLEX*16 array, dimension (LDZ, N)\n* If JOBZ = 'V', then if INFO = 0, Z contains the matrix Z of\n* eigenvectors. The eigenvectors are normalized as follows:\n* if ITYPE = 1 or 2, Z**H*B*Z = I;\n* if ITYPE = 3, Z**H*inv(B)*Z = I.\n* If JOBZ = 'N', then Z is not referenced.\n*\n* LDZ (input) INTEGER\n* The leading dimension of the array Z. LDZ >= 1, and if\n* JOBZ = 'V', LDZ >= max(1,N).\n*\n* WORK (workspace) COMPLEX*16 array, dimension (MAX(1,LWORK))\n* On exit, if INFO = 0, WORK(1) returns the required LWORK.\n*\n* LWORK (input) INTEGER\n* The dimension of array WORK.\n* If N <= 1, LWORK >= 1.\n* If JOBZ = 'N' and N > 1, LWORK >= N.\n* If JOBZ = 'V' and N > 1, LWORK >= 2*N.\n*\n* If LWORK = -1, then a workspace query is assumed; the routine\n* only calculates the required sizes of the WORK, RWORK and\n* IWORK arrays, returns these values as the first entries of\n* the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or LIWORK is issued by XERBLA.\n*\n* RWORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LRWORK))\n* On exit, if INFO = 0, RWORK(1) returns the required LRWORK.\n*\n* LRWORK (input) INTEGER\n* The dimension of array RWORK.\n* If N <= 1, LRWORK >= 1.\n* If JOBZ = 'N' and N > 1, LRWORK >= N.\n* If JOBZ = 'V' and N > 1, LRWORK >= 1 + 5*N + 2*N**2.\n*\n* If LRWORK = -1, then a workspace query is assumed; the\n* routine only calculates the required sizes of the WORK, RWORK\n* and IWORK arrays, returns these values as the first entries\n* of the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or LIWORK 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 required LIWORK.\n*\n* LIWORK (input) INTEGER\n* The dimension of array IWORK.\n* If JOBZ = 'N' or N <= 1, LIWORK >= 1.\n* If JOBZ = 'V' and N > 1, LIWORK >= 3 + 5*N.\n*\n* If LIWORK = -1, then a workspace query is assumed; the\n* routine only calculates the required sizes of the WORK, RWORK\n* and IWORK arrays, returns these values as the first entries\n* of the WORK, RWORK and IWORK arrays, and no error message\n* related to LWORK or LRWORK or 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: ZPPTRF or ZHPEVD returned an error code:\n* <= N: if INFO = i, ZHPEVD failed to converge;\n* i off-diagonal elements of an intermediate\n* tridiagonal form did not convergeto zero;\n* > N: if INFO = N + i, for 1 <= i <= n, then the leading\n* minor of order i of B is not positive definite.\n* The factorization of B could not be completed and\n* no eigenvalues or eigenvectors were computed.\n*\n\n* Further Details\n* ===============\n*\n* Based on contributions by\n* Mark Fahey, Department of Mathematics, Univ. of Kentucky, USA\n*\n* =====================================================================\n*\n* .. Local Scalars ..\n LOGICAL LQUERY, UPPER, WANTZ\n CHARACTER TRANS\n INTEGER J, LIWMIN, LRWMIN, LWMIN, NEIG\n* ..\n* .. External Functions ..\n LOGICAL LSAME\n EXTERNAL LSAME\n* ..\n* .. External Subroutines ..\n EXTERNAL XERBLA, ZHPEVD, ZHPGST, ZPPTRF, ZTPMV, ZTPSV\n* ..\n* .. Intrinsic Functions ..\n INTRINSIC DBLE, MAX\n* ..\n\n");
return Qnil;
}
if (rb_hash_aref(rblapack_options, sUsage) == Qtrue) {
printf("%s\n", "USAGE:\n w, z, iwork, info, ap, bp = NumRu::Lapack.zhpgvd( itype, jobz, uplo, ap, bp, [:lwork => lwork, :lrwork => lrwork, :liwork => liwork, :usage => usage, :help => help])\n");
return Qnil;
}
} else
rblapack_options = Qnil;
if (argc != 5 && argc != 8)
rb_raise(rb_eArgError,"wrong number of arguments (%d for 5)", argc);
rblapack_itype = argv[0];
rblapack_jobz = argv[1];
rblapack_uplo = argv[2];
rblapack_ap = argv[3];
rblapack_bp = argv[4];
if (argc == 8) {
rblapack_lwork = argv[5];
rblapack_lrwork = argv[6];
rblapack_liwork = argv[7];
} else if (rblapack_options != Qnil) {
rblapack_lwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lwork")));
rblapack_lrwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("lrwork")));
rblapack_liwork = rb_hash_aref(rblapack_options, ID2SYM(rb_intern("liwork")));
} else {
rblapack_lwork = Qnil;
rblapack_lrwork = Qnil;
rblapack_liwork = Qnil;
}
itype = NUM2INT(rblapack_itype);
uplo = StringValueCStr(rblapack_uplo)[0];
jobz = StringValueCStr(rblapack_jobz)[0];
if (!NA_IsNArray(rblapack_ap))
rb_raise(rb_eArgError, "ap (4th argument) must be NArray");
if (NA_RANK(rblapack_ap) != 1)
rb_raise(rb_eArgError, "rank of ap (4th argument) must be %d", 1);
ldap = NA_SHAPE0(rblapack_ap);
if (NA_TYPE(rblapack_ap) != NA_DCOMPLEX)
rblapack_ap = na_change_type(rblapack_ap, NA_DCOMPLEX);
ap = NA_PTR_TYPE(rblapack_ap, doublecomplex*);
n = ((int)sqrtf(ldap*8+1.0f)-1)/2;
if (!NA_IsNArray(rblapack_bp))
rb_raise(rb_eArgError, "bp (5th argument) must be NArray");
if (NA_RANK(rblapack_bp) != 1)
rb_raise(rb_eArgError, "rank of bp (5th argument) must be %d", 1);
if (NA_SHAPE0(rblapack_bp) != (n*(n+1)/2))
rb_raise(rb_eRuntimeError, "shape 0 of bp must be %d", n*(n+1)/2);
if (NA_TYPE(rblapack_bp) != NA_DCOMPLEX)
rblapack_bp = na_change_type(rblapack_bp, NA_DCOMPLEX);
bp = NA_PTR_TYPE(rblapack_bp, doublecomplex*);
if (rblapack_lrwork == Qnil)
lrwork = n<=1 ? 1 : lsame_(&jobz,"N") ? n : lsame_(&jobz,"V") ? 1+5*n+2*n*n : 0;
else {
lrwork = NUM2INT(rblapack_lrwork);
}
ldz = lsame_(&jobz,"V") ? MAX(1,n) : 1;
if (rblapack_lwork == Qnil)
lwork = n<=1 ? 1 : lsame_(&jobz,"N") ? n : lsame_(&jobz,"V") ? 2*n : 0;
else {
lwork = NUM2INT(rblapack_lwork);
}
if (rblapack_liwork == Qnil)
liwork = (lsame_(&jobz,"N")||n<=1) ? 1 : lsame_(&jobz,"V") ? 3+5*n : 0;
else {
liwork = NUM2INT(rblapack_liwork);
}
{
na_shape_t shape[1];
shape[0] = n;
rblapack_w = na_make_object(NA_DFLOAT, 1, shape, cNArray);
}
w = NA_PTR_TYPE(rblapack_w, doublereal*);
{
na_shape_t shape[2];
shape[0] = ldz;
shape[1] = n;
rblapack_z = na_make_object(NA_DCOMPLEX, 2, shape, cNArray);
}
z = NA_PTR_TYPE(rblapack_z, doublecomplex*);
{
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] = ldap;
rblapack_ap_out__ = na_make_object(NA_DCOMPLEX, 1, shape, cNArray);
}
ap_out__ = NA_PTR_TYPE(rblapack_ap_out__, doublecomplex*);
MEMCPY(ap_out__, ap, doublecomplex, NA_TOTAL(rblapack_ap));
rblapack_ap = rblapack_ap_out__;
ap = ap_out__;
{
na_shape_t shape[1];
shape[0] = n*(n+1)/2;
rblapack_bp_out__ = na_make_object(NA_DCOMPLEX, 1, shape, cNArray);
}
bp_out__ = NA_PTR_TYPE(rblapack_bp_out__, doublecomplex*);
MEMCPY(bp_out__, bp, doublecomplex, NA_TOTAL(rblapack_bp));
rblapack_bp = rblapack_bp_out__;
bp = bp_out__;
work = ALLOC_N(doublecomplex, (MAX(1,lwork)));
rwork = ALLOC_N(doublereal, (MAX(1,lrwork)));
zhpgvd_(&itype, &jobz, &uplo, &n, ap, bp, w, z, &ldz, work, &lwork, rwork, &lrwork, iwork, &liwork, &info);
free(work);
free(rwork);
rblapack_info = INT2NUM(info);
return rb_ary_new3(6, rblapack_w, rblapack_z, rblapack_iwork, rblapack_info, rblapack_ap, rblapack_bp);
}
void
init_lapack_zhpgvd(VALUE mLapack, VALUE sH, VALUE sU, VALUE zero){
sHelp = sH;
sUsage = sU;
rblapack_ZERO = zero;
rb_define_module_function(mLapack, "zhpgvd", rblapack_zhpgvd, -1);
}
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