#include "blaswrap.h"
/* -- translated by f2c (version 19990503).
You must link the resulting object file with the libraries:
-lf2c -lm (in that order)
*/
#include "f2c.h"
/* Table of constant values */
static integer c__1 = 1;
static integer c_n1 = -1;
static integer c__2 = 2;
static doublereal c_b25 = 0.;
static integer c__0 = 0;
static integer c__6 = 6;
static doublereal c_b39 = 1.;
static integer c__4 = 4;
static integer c__3 = 3;
static integer c__10 = 10;
static integer c__11 = 11;
/* Subroutine */ int dchkst_(integer *nsizes, integer *nn, integer *ntypes,
logical *dotype, integer *iseed, doublereal *thresh, integer *nounit,
doublereal *a, integer *lda, doublereal *ap, doublereal *sd,
doublereal *se, doublereal *d1, doublereal *d2, doublereal *d3,
doublereal *d4, doublereal *d5, doublereal *wa1, doublereal *wa2,
doublereal *wa3, doublereal *wr, doublereal *u, integer *ldu,
doublereal *v, doublereal *vp, doublereal *tau, doublereal *z__,
doublereal *work, integer *lwork, integer *iwork, integer *liwork,
doublereal *result, integer *info)
{
/* Initialized data */
static integer ktype[21] = { 1,2,4,4,4,4,4,5,5,5,5,5,8,8,8,9,9,9,9,9,10 };
static integer kmagn[21] = { 1,1,1,1,1,2,3,1,1,1,2,3,1,2,3,1,1,1,2,3,1 };
static integer kmode[21] = { 0,0,4,3,1,4,4,4,3,1,4,4,0,0,0,4,3,1,4,4,3 };
/* Format strings */
static char fmt_9999[] = "(\002 DCHKST: \002,a,\002 returned INFO=\002,i"
"6,\002.\002,/9x,\002N=\002,i6,\002, JTYPE=\002,i6,\002, ISEED="
"(\002,3(i5,\002,\002),i5,\002)\002)";
static char fmt_9998[] = "(/1x,a3,\002 -- Real Symmetric eigenvalue prob"
"lem\002)";
static char fmt_9997[] = "(\002 Matrix types (see DCHKST for details):"
" \002)";
static char fmt_9996[] = "(/\002 Special Matrices:\002,/\002 1=Zero mat"
"rix. \002,\002 5=Diagonal: clustered ent"
"ries.\002,/\002 2=Identity matrix. \002,\002"
" 6=Diagonal: large, evenly spaced.\002,/\002 3=Diagonal: evenl"
"y spaced entries. \002,\002 7=Diagonal: small, evenly spaced."
"\002,/\002 4=Diagonal: geometr. spaced entries.\002)";
static char fmt_9995[] = "(\002 Dense \002,a,\002 Matrices:\002,/\002 8"
"=Evenly spaced eigenvals. \002,\002 12=Small, evenly "
"spaced eigenvals.\002,/\002 9=Geometrically spaced eigenvals. "
" \002,\002 13=Matrix with random O(1) entries.\002,/\002 10=Cl"
"ustered eigenvalues. \002,\002 14=Matrix with large"
" random entries.\002,/\002 11=Large, evenly spaced eigenvals. "
" \002,\002 15=Matrix with small random entries.\002)";
static char fmt_9994[] = "(\002 16=Positive definite, evenly spaced eige"
"nvalues\002,/\002 17=Positive definite, geometrically spaced eig"
"envlaues\002,/\002 18=Positive definite, clustered eigenvalue"
"s\002,/\002 19=Positive definite, small evenly spaced eigenvalues"
"\002,/\002 20=Positive definite, large evenly spaced eigenvalue"
"s\002,/\002 21=Diagonally dominant tridiagonal, geometrically"
"\002,\002 spaced eigenvalues\002)";
static char fmt_9988[] = "(/\002Test performed: see DCHKST for details"
".\002,/)";
static char fmt_9990[] = "(\002 N=\002,i5,\002, seed=\002,4(i4,\002,\002"
"),\002 type \002,i2,\002, test(\002,i2,\002)=\002,g10.3)";
/* System generated locals */
integer a_dim1, a_offset, u_dim1, u_offset, v_dim1, v_offset, z_dim1,
z_offset, i__1, i__2, i__3, i__4;
doublereal d__1, d__2, d__3, d__4;
/* Builtin functions */
double log(doublereal), sqrt(doublereal);
integer pow_ii(integer *, integer *), s_wsfe(cilist *), do_fio(integer *,
char *, ftnlen), e_wsfe(void);
/* Local variables */
static doublereal cond;
static integer nmax;
static doublereal unfl, ovfl, temp1, temp2, temp3, temp4;
extern doublereal dsxt1_(integer *, doublereal *, integer *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *);
static integer i__, j, m, n;
static logical badnn;
static integer imode, lwedc;
static doublereal dumma[1];
static integer iinfo;
static doublereal aninv, anorm;
extern /* Subroutine */ int dspt21_(integer *, char *, integer *, integer
*, doublereal *, doublereal *, doublereal *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *, doublereal *);
static integer itemp;
extern /* Subroutine */ int dcopy_(integer *, doublereal *, integer *,
doublereal *, integer *), dstt21_(integer *, integer *,
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, doublereal *);
static integer nmats;
extern /* Subroutine */ int dstt22_(integer *, integer *, integer *,
doublereal *, doublereal *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *);
static integer jsize, itype, jtype, nerrs, m2, m3, ntest;
extern /* Subroutine */ int dsyt21_(integer *, char *, integer *, integer
*, doublereal *, integer *, doublereal *, doublereal *,
doublereal *, integer *, doublereal *, integer *, doublereal *,
doublereal *, doublereal *);
static integer iseed2[4], log2ui;
extern /* Subroutine */ int dlabad_(doublereal *, doublereal *);
static integer jc, il;
extern doublereal dlamch_(char *);
static integer jr, iu;
static doublereal vl;
extern doublereal dlarnd_(integer *, integer *);
static integer liwedc, nblock;
extern /* Subroutine */ int dstech_(integer *, doublereal *, doublereal *,
doublereal *, doublereal *, doublereal *, integer *);
static doublereal vu;
static integer idumma[1];
extern /* Subroutine */ int dlacpy_(char *, integer *, integer *,
doublereal *, integer *, doublereal *, integer *);
static integer ioldsd[4];
extern integer ilaenv_(integer *, char *, char *, integer *, integer *,
integer *, integer *, ftnlen, ftnlen);
extern /* Subroutine */ int dlaset_(char *, integer *, integer *,
doublereal *, doublereal *, doublereal *, integer *),
dlatmr_(integer *, integer *, char *, integer *, char *,
doublereal *, integer *, doublereal *, doublereal *, char *, char
*, doublereal *, integer *, doublereal *, doublereal *, integer *,
doublereal *, char *, integer *, integer *, integer *,
doublereal *, doublereal *, char *, doublereal *, integer *,
integer *, integer *);
static doublereal abstol;
extern /* Subroutine */ int dlasum_(char *, integer *, integer *, integer
*), dlatms_(integer *, integer *, char *, integer *, char
*, doublereal *, integer *, doublereal *, doublereal *, integer *,
integer *, char *, doublereal *, integer *, doublereal *,
integer *), dstedc_(char *, integer *,
doublereal *, doublereal *, doublereal *, integer *, doublereal *,
integer *, integer *, integer *, integer *), dstegr_(
char *, char *, integer *, doublereal *, doublereal *, doublereal
*, doublereal *, integer *, integer *, doublereal *, integer *,
doublereal *, doublereal *, integer *, integer *, doublereal *,
integer *, integer *, integer *, integer *),
dstein_(integer *, doublereal *, doublereal *, integer *,
doublereal *, integer *, integer *, doublereal *, integer *,
doublereal *, integer *, integer *, integer *), dsterf_(integer *,
doublereal *, doublereal *, integer *), dstebz_(char *, char *,
integer *, doublereal *, doublereal *, integer *, integer *,
doublereal *, doublereal *, doublereal *, integer *, integer *,
doublereal *, integer *, integer *, doublereal *, integer *,
integer *), xerbla_(char *, integer *),
dopgtr_(char *, integer *, doublereal *, doublereal *, doublereal
*, integer *, doublereal *, integer *), dpteqr_(char *,
integer *, doublereal *, doublereal *, doublereal *, integer *,
doublereal *, integer *), dorgtr_(char *, integer *,
doublereal *, integer *, doublereal *, doublereal *, integer *,
integer *), dsptrd_(char *, integer *, doublereal *,
doublereal *, doublereal *, doublereal *, integer *),
dsteqr_(char *, integer *, doublereal *, doublereal *, doublereal
*, integer *, doublereal *, integer *);
static integer nsplit;
static doublereal rtovfl;
static integer mtypes, ntestt;
static doublereal rtunfl, ulpinv;
extern /* Subroutine */ int dsytrd_(char *, integer *, doublereal *,
integer *, doublereal *, doublereal *, doublereal *, doublereal *,
integer *, integer *);
static integer nap, lgn;
static doublereal ulp;
/* Fortran I/O blocks */
static cilist io___39 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___40 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___41 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___42 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___43 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___45 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___46 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___47 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___48 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___49 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___50 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___51 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___56 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___57 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___65 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___66 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___69 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___71 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___72 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___73 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___74 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___75 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___76 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___77 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___78 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___79 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___80 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___81 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___82 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___83 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___84 = { 0, 0, 0, fmt_9999, 0 };
static cilist io___85 = { 0, 0, 0, fmt_9998, 0 };
static cilist io___86 = { 0, 0, 0, fmt_9997, 0 };
static cilist io___87 = { 0, 0, 0, fmt_9996, 0 };
static cilist io___88 = { 0, 0, 0, fmt_9995, 0 };
static cilist io___89 = { 0, 0, 0, fmt_9994, 0 };
static cilist io___90 = { 0, 0, 0, fmt_9988, 0 };
static cilist io___91 = { 0, 0, 0, fmt_9990, 0 };
#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
/* -- LAPACK test routine (version 3.0) --
Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd.,
Courant Institute, Argonne National Lab, and Rice University
June 30, 1999
Purpose
=======
DCHKST checks the symmetric eigenvalue problem routines.
DSYTRD factors A as U S U' , where ' means transpose,
S is symmetric tridiagonal, and U is orthogonal.
DSYTRD can use either just the lower or just the upper triangle
of A; DCHKST checks both cases.
U is represented as a product of Householder
transformations, whose vectors are stored in the first
n-1 columns of V, and whose scale factors are in TAU.
DSPTRD does the same as DSYTRD, except that A and V are stored
in "packed" format.
DORGTR constructs the matrix U from the contents of V and TAU.
DOPGTR constructs the matrix U from the contents of VP and TAU.
DSTEQR factors S as Z D1 Z' , where Z is the orthogonal
matrix of eigenvectors and D1 is a diagonal matrix with
the eigenvalues on the diagonal. D2 is the matrix of
eigenvalues computed when Z is not computed.
DSTERF computes D3, the matrix of eigenvalues, by the
PWK method, which does not yield eigenvectors.
DPTEQR factors S as Z4 D4 Z4' , for a
symmetric positive definite tridiagonal matrix.
D5 is the matrix of eigenvalues computed when Z is not
computed.
DSTEBZ computes selected eigenvalues. WA1, WA2, and
WA3 will denote eigenvalues computed to high
absolute accuracy, with different range options.
WR will denote eigenvalues computed to high relative
accuracy.
DSTEIN computes Y, the eigenvectors of S, given the
eigenvalues.
DSTEDC factors S as Z D1 Z' , where Z is the orthogonal
matrix of eigenvectors and D1 is a diagonal matrix with
the eigenvalues on the diagonal ('I' option). It may also
update an input orthogonal matrix, usually the output
from DSYTRD/DORGTR or DSPTRD/DOPGTR ('V' option). It may
also just compute eigenvalues ('N' option).
DSTEGR factors S as Z D1 Z' , where Z is the orthogonal
matrix of eigenvectors and D1 is a diagonal matrix with
the eigenvalues on the diagonal ('I' option). DSTEGR
uses the Relatively Robust Representation whenever possible.
When DCHKST is called, a number of matrix "sizes" ("n's") and a
number of matrix "types" are specified. For each size ("n")
and each type of matrix, one matrix will be generated and used
to test the symmetric eigenroutines. For each matrix, a number
of tests will be performed:
(1) | A - V S V' | / ( |A| n ulp ) DSYTRD( UPLO='U', ... )
(2) | I - UV' | / ( n ulp ) DORGTR( UPLO='U', ... )
(3) | A - V S V' | / ( |A| n ulp ) DSYTRD( UPLO='L', ... )
(4) | I - UV' | / ( n ulp ) DORGTR( UPLO='L', ... )
(5-8) Same as 1-4, but for DSPTRD and DOPGTR.
(9) | S - Z D Z' | / ( |S| n ulp ) DSTEQR('V',...)
(10) | I - ZZ' | / ( n ulp ) DSTEQR('V',...)
(11) | D1 - D2 | / ( |D1| ulp ) DSTEQR('N',...)
(12) | D1 - D3 | / ( |D1| ulp ) DSTERF
(13) 0 if the true eigenvalues (computed by sturm count)
of S are within THRESH of
those in D1. 2*THRESH if they are not. (Tested using
DSTECH)
For S positive definite,
(14) | S - Z4 D4 Z4' | / ( |S| n ulp ) DPTEQR('V',...)
(15) | I - Z4 Z4' | / ( n ulp ) DPTEQR('V',...)
(16) | D4 - D5 | / ( 100 |D4| ulp ) DPTEQR('N',...)
When S is also diagonally dominant by the factor gamma < 1,
(17) max | D4(i) - WR(i) | / ( |D4(i)| omega ) ,
i
omega = 2 (2n-1) ULP (1 + 8 gamma**2) / (1 - gamma)**4
DSTEBZ( 'A', 'E', ...)
(18) | WA1 - D3 | / ( |D3| ulp ) DSTEBZ( 'A', 'E', ...)
(19) ( max { min | WA2(i)-WA3(j) | } +
i j
max { min | WA3(i)-WA2(j) | } ) / ( |D3| ulp )
i j
DSTEBZ( 'I', 'E', ...)
(20) | S - Y WA1 Y' | / ( |S| n ulp ) DSTEBZ, SSTEIN
(21) | I - Y Y' | / ( n ulp ) DSTEBZ, SSTEIN
(22) | S - Z D Z' | / ( |S| n ulp ) DSTEDC('I')
(23) | I - ZZ' | / ( n ulp ) DSTEDC('I')
(24) | S - Z D Z' | / ( |S| n ulp ) DSTEDC('V')
(25) | I - ZZ' | / ( n ulp ) DSTEDC('V')
(26) | D1 - D2 | / ( |D1| ulp ) DSTEDC('V') and
DSTEDC('N')
Test 27 is disabled at the moment because DSTEGR does not
guarantee high relatvie accuracy.
(27) max | D6(i) - WR(i) | / ( |D6(i)| omega ) ,
i
omega = 2 (2n-1) ULP (1 + 8 gamma**2) / (1 - gamma)**4
DSTEGR('V', 'A')
(28) max | D6(i) - WR(i) | / ( |D6(i)| omega ) ,
i
omega = 2 (2n-1) ULP (1 + 8 gamma**2) / (1 - gamma)**4
DSTEGR('V', 'I')
Tests 29 through 34 are disable at present because @9pre)STEGR
does not handle partial specturm requests.
(29) | S - Z D Z' | / ( |S| n ulp ) DSTEGR('V', 'I')
(30) | I - ZZ' | / ( n ulp ) DSTEGR('V', 'I')
(31) ( max { min | WA2(i)-WA3(j) | } +
i j
max { min | WA3(i)-WA2(j) | } ) / ( |D3| ulp )
i j
DSTEGR('N', 'I') vs. SSTEGR('V', 'I')
(32) | S - Z D Z' | / ( |S| n ulp ) DSTEGR('V', 'V')
(33) | I - ZZ' | / ( n ulp ) DSTEGR('V', 'V')
(34) ( max { min | WA2(i)-WA3(j) | } +
i j
max { min | WA3(i)-WA2(j) | } ) / ( |D3| ulp )
i j
DSTEGR('N', 'V') vs. SSTEGR('V', 'V')
(35) | S - Z D Z' | / ( |S| n ulp ) DSTEGR('V', 'A')
(36) | I - ZZ' | / ( n ulp ) DSTEGR('V', 'A')
(37) ( max { min | WA2(i)-WA3(j) | } +
i j
max { min | WA3(i)-WA2(j) | } ) / ( |D3| ulp )
i j
DSTEGR('N', 'A') vs. SSTEGR('V', 'A')
The "sizes" are specified by an array NN(1:NSIZES); the value of
each element NN(j) specifies one size.
The "types" are specified by a logical array DOTYPE( 1:NTYPES );
if DOTYPE(j) is .TRUE., then matrix type "j" will be generated.
Currently, the list of possible types is:
(1) The zero matrix.
(2) The identity matrix.
(3) A diagonal matrix with evenly spaced entries
1, ..., ULP and random signs.
(ULP = (first number larger than 1) - 1 )
(4) A diagonal matrix with geometrically spaced entries
1, ..., ULP and random signs.
(5) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP
and random signs.
(6) Same as (4), but multiplied by SQRT( overflow threshold )
(7) Same as (4), but multiplied by SQRT( underflow threshold )
(8) A matrix of the form U' D U, where U is orthogonal and
D has evenly spaced entries 1, ..., ULP with random signs
on the diagonal.
(9) A matrix of the form U' D U, where U is orthogonal and
D has geometrically spaced entries 1, ..., ULP with random
signs on the diagonal.
(10) A matrix of the form U' D U, where U is orthogonal and
D has "clustered" entries 1, ULP,..., ULP with random
signs on the diagonal.
(11) Same as (8), but multiplied by SQRT( overflow threshold )
(12) Same as (8), but multiplied by SQRT( underflow threshold )
(13) Symmetric matrix with random entries chosen from (-1,1).
(14) Same as (13), but multiplied by SQRT( overflow threshold )
(15) Same as (13), but multiplied by SQRT( underflow threshold )
(16) Same as (8), but diagonal elements are all positive.
(17) Same as (9), but diagonal elements are all positive.
(18) Same as (10), but diagonal elements are all positive.
(19) Same as (16), but multiplied by SQRT( overflow threshold )
(20) Same as (16), but multiplied by SQRT( underflow threshold )
(21) A diagonally dominant tridiagonal matrix with geometrically
spaced diagonal entries 1, ..., ULP.
Arguments
=========
NSIZES (input) INTEGER
The number of sizes of matrices to use. If it is zero,
DCHKST does nothing. It must be at least zero.
NN (input) INTEGER array, dimension (NSIZES)
An array containing the sizes to be used for the matrices.
Zero values will be skipped. The values must be at least
zero.
NTYPES (input) INTEGER
The number of elements in DOTYPE. If it is zero, DCHKST
does nothing. It must be at least zero. If it is MAXTYP+1
and NSIZES is 1, then an additional type, MAXTYP+1 is
defined, which is to use whatever matrix is in A. This
is only useful if DOTYPE(1:MAXTYP) is .FALSE. and
DOTYPE(MAXTYP+1) is .TRUE. .
DOTYPE (input) LOGICAL array, dimension (NTYPES)
If DOTYPE(j) is .TRUE., then for each size in NN a
matrix of that size and of type j will be generated.
If NTYPES is smaller than the maximum number of types
defined (PARAMETER MAXTYP), then types NTYPES+1 through
MAXTYP will not be generated. If NTYPES is larger
than MAXTYP, DOTYPE(MAXTYP+1) through DOTYPE(NTYPES)
will be ignored.
ISEED (input/output) INTEGER array, dimension (4)
On entry ISEED specifies the seed of the random number
generator. The array elements should be between 0 and 4095;
if not they will be reduced mod 4096. Also, ISEED(4) must
be odd. The random number generator uses a linear
congruential sequence limited to small integers, and so
should produce machine independent random numbers. The
values of ISEED are changed on exit, and can be used in the
next call to DCHKST to continue the same random number
sequence.
THRESH (input) DOUBLE PRECISION
A test will count as "failed" if the "error", computed as
described above, exceeds THRESH. Note that the error
is scaled to be O(1), so THRESH should be a reasonably
small multiple of 1, e.g., 10 or 100. In particular,
it should not depend on the precision (single vs. double)
or the size of the matrix. It must be at least zero.
NOUNIT (input) INTEGER
The FORTRAN unit number for printing out error messages
(e.g., if a routine returns IINFO not equal to 0.)
A (input/workspace/output) DOUBLE PRECISION array of
dimension ( LDA , max(NN) )
Used to hold the matrix whose eigenvalues are to be
computed. On exit, A contains the last matrix actually
used.
LDA (input) INTEGER
The leading dimension of A. It must be at
least 1 and at least max( NN ).
AP (workspace) DOUBLE PRECISION array of
dimension( max(NN)*max(NN+1)/2 )
The matrix A stored in packed format.
SD (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The diagonal of the tridiagonal matrix computed by DSYTRD.
On exit, SD and SE contain the tridiagonal form of the
matrix in A.
SE (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The off-diagonal of the tridiagonal matrix computed by
DSYTRD. On exit, SD and SE contain the tridiagonal form of
the matrix in A.
D1 (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The eigenvalues of A, as computed by DSTEQR simlutaneously
with Z. On exit, the eigenvalues in D1 correspond with the
matrix in A.
D2 (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The eigenvalues of A, as computed by DSTEQR if Z is not
computed. On exit, the eigenvalues in D2 correspond with
the matrix in A.
D3 (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The eigenvalues of A, as computed by DSTERF. On exit, the
eigenvalues in D3 correspond with the matrix in A.
U (workspace/output) DOUBLE PRECISION array of
dimension( LDU, max(NN) ).
The orthogonal matrix computed by DSYTRD + DORGTR.
LDU (input) INTEGER
The leading dimension of U, Z, and V. It must be at least 1
and at least max( NN ).
V (workspace/output) DOUBLE PRECISION array of
dimension( LDU, max(NN) ).
The Housholder vectors computed by DSYTRD in reducing A to
tridiagonal form. The vectors computed with UPLO='U' are
in the upper triangle, and the vectors computed with UPLO='L'
are in the lower triangle. (As described in DSYTRD, the
sub- and superdiagonal are not set to 1, although the
true Householder vector has a 1 in that position. The
routines that use V, such as DORGTR, set those entries to
1 before using them, and then restore them later.)
VP (workspace) DOUBLE PRECISION array of
dimension( max(NN)*max(NN+1)/2 )
The matrix V stored in packed format.
TAU (workspace/output) DOUBLE PRECISION array of
dimension( max(NN) )
The Householder factors computed by DSYTRD in reducing A
to tridiagonal form.
Z (workspace/output) DOUBLE PRECISION array of
dimension( LDU, max(NN) ).
The orthogonal matrix of eigenvectors computed by DSTEQR,
DPTEQR, and DSTEIN.
WORK (workspace/output) DOUBLE PRECISION array of
dimension( LWORK )
LWORK (input) INTEGER
The number of entries in WORK. This must be at least
1 + 4 * Nmax + 2 * Nmax * lg Nmax + 3 * Nmax**2
where Nmax = max( NN(j), 2 ) and lg = log base 2.
IWORK (workspace/output) INTEGER array,
dimension (6 + 6*Nmax + 5 * Nmax * lg Nmax )
where Nmax = max( NN(j), 2 ) and lg = log base 2.
Workspace.
RESULT (output) DOUBLE PRECISION array, dimension (26)
The values computed by the tests described above.
The values are currently limited to 1/ulp, to avoid
overflow.
INFO (output) INTEGER
If 0, then everything ran OK.
-1: NSIZES < 0
-2: Some NN(j) < 0
-3: NTYPES < 0
-5: THRESH < 0
-9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ).
-23: LDU < 1 or LDU < NMAX.
-29: LWORK too small.
If DLATMR, SLATMS, DSYTRD, DORGTR, DSTEQR, SSTERF,
or DORMC2 returns an error code, the
absolute value of it is returned.
-----------------------------------------------------------------------
Some Local Variables and Parameters:
---- ----- --------- --- ----------
ZERO, ONE Real 0 and 1.
MAXTYP The number of types defined.
NTEST The number of tests performed, or which can
be performed so far, for the current matrix.
NTESTT The total number of tests performed so far.
NBLOCK Blocksize as returned by ENVIR.
NMAX Largest value in NN.
NMATS The number of matrices generated so far.
NERRS The number of tests which have exceeded THRESH
so far.
COND, IMODE Values to be passed to the matrix generators.
ANORM Norm of A; passed to matrix generators.
OVFL, UNFL Overflow and underflow thresholds.
ULP, ULPINV Finest relative precision and its inverse.
RTOVFL, RTUNFL Square roots of the previous 2 values.
The following four arrays decode JTYPE:
KTYPE(j) The general type (1-10) for type "j".
KMODE(j) The MODE value to be passed to the matrix
generator for type "j".
KMAGN(j) The order of magnitude ( O(1),
O(overflow^(1/2) ), O(underflow^(1/2) )
=====================================================================
Parameter adjustments */
--nn;
--dotype;
--iseed;
a_dim1 = *lda;
a_offset = 1 + a_dim1 * 1;
a -= a_offset;
--ap;
--sd;
--se;
--d1;
--d2;
--d3;
--d4;
--d5;
--wa1;
--wa2;
--wa3;
--wr;
z_dim1 = *ldu;
z_offset = 1 + z_dim1 * 1;
z__ -= z_offset;
v_dim1 = *ldu;
v_offset = 1 + v_dim1 * 1;
v -= v_offset;
u_dim1 = *ldu;
u_offset = 1 + u_dim1 * 1;
u -= u_offset;
--vp;
--tau;
--work;
--iwork;
--result;
/* Function Body
Keep ftnchek happy */
idumma[0] = 1;
/* Check for errors */
ntestt = 0;
*info = 0;
/* Important constants */
badnn = FALSE_;
nmax = 1;
i__1 = *nsizes;
for (j = 1; j <= i__1; ++j) {
/* Computing MAX */
i__2 = nmax, i__3 = nn[j];
nmax = max(i__2,i__3);
if (nn[j] < 0) {
badnn = TRUE_;
}
/* L10: */
}
nblock = ilaenv_(&c__1, "DSYTRD", "L", &nmax, &c_n1, &c_n1, &c_n1, (
ftnlen)6, (ftnlen)1);
/* Computing MIN */
i__1 = nmax, i__2 = max(1,nblock);
nblock = min(i__1,i__2);
/* Check for errors */
if (*nsizes < 0) {
*info = -1;
} else if (badnn) {
*info = -2;
} else if (*ntypes < 0) {
*info = -3;
} else if (*lda < nmax) {
*info = -9;
} else if (*ldu < nmax) {
*info = -23;
} else /* if(complicated condition) */ {
/* Computing 2nd power */
i__1 = max(2,nmax);
if (i__1 * i__1 << 1 > *lwork) {
*info = -29;
}
}
if (*info != 0) {
i__1 = -(*info);
xerbla_("DCHKST", &i__1);
return 0;
}
/* Quick return if possible */
if (*nsizes == 0 || *ntypes == 0) {
return 0;
}
/* More Important constants */
unfl = dlamch_("Safe minimum");
ovfl = 1. / unfl;
dlabad_(&unfl, &ovfl);
ulp = dlamch_("Epsilon") * dlamch_("Base");
ulpinv = 1. / ulp;
log2ui = (integer) (log(ulpinv) / log(2.));
rtunfl = sqrt(unfl);
rtovfl = sqrt(ovfl);
/* Loop over sizes, types */
for (i__ = 1; i__ <= 4; ++i__) {
iseed2[i__ - 1] = iseed[i__];
/* L20: */
}
nerrs = 0;
nmats = 0;
i__1 = *nsizes;
for (jsize = 1; jsize <= i__1; ++jsize) {
n = nn[jsize];
if (n > 0) {
lgn = (integer) (log((doublereal) n) / log(2.));
if (pow_ii(&c__2, &lgn) < n) {
++lgn;
}
if (pow_ii(&c__2, &lgn) < n) {
++lgn;
}
/* Computing 2nd power */
i__2 = n;
lwedc = (n << 2) + 1 + (n << 1) * lgn + i__2 * i__2 * 3;
liwedc = n * 6 + 6 + n * 5 * lgn;
} else {
lwedc = 8;
liwedc = 12;
}
nap = n * (n + 1) / 2;
aninv = 1. / (doublereal) max(1,n);
if (*nsizes != 1) {
mtypes = min(21,*ntypes);
} else {
mtypes = min(22,*ntypes);
}
i__2 = mtypes;
for (jtype = 1; jtype <= i__2; ++jtype) {
if (! dotype[jtype]) {
goto L300;
}
++nmats;
ntest = 0;
for (j = 1; j <= 4; ++j) {
ioldsd[j - 1] = iseed[j];
/* L30: */
}
/* Compute "A"
Control parameters:
KMAGN KMODE KTYPE
=1 O(1) clustered 1 zero
=2 large clustered 2 identity
=3 small exponential (none)
=4 arithmetic diagonal, (w/ eigenvalues)
=5 random log symmetric, w/ eigenvalues
=6 random (none)
=7 random diagonal
=8 random symmetric
=9 positive definite
=10 diagonally dominant tridiagonal */
if (mtypes > 21) {
goto L100;
}
itype = ktype[jtype - 1];
imode = kmode[jtype - 1];
/* Compute norm */
switch (kmagn[jtype - 1]) {
case 1: goto L40;
case 2: goto L50;
case 3: goto L60;
}
L40:
anorm = 1.;
goto L70;
L50:
anorm = rtovfl * ulp * aninv;
goto L70;
L60:
anorm = rtunfl * n * ulpinv;
goto L70;
L70:
dlaset_("Full", lda, &n, &c_b25, &c_b25, &a[a_offset], lda);
iinfo = 0;
if (jtype <= 15) {
cond = ulpinv;
} else {
cond = ulpinv * aninv / 10.;
}
/* Special Matrices -- Identity & Jordan block
Zero */
if (itype == 1) {
iinfo = 0;
} else if (itype == 2) {
/* Identity */
i__3 = n;
for (jc = 1; jc <= i__3; ++jc) {
a_ref(jc, jc) = anorm;
/* L80: */
}
} else if (itype == 4) {
/* Diagonal Matrix, [Eigen]values Specified */
dlatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond,
&anorm, &c__0, &c__0, "N", &a[a_offset], lda, &work[n
+ 1], &iinfo);
} else if (itype == 5) {
/* Symmetric, eigenvalues specified */
dlatms_(&n, &n, "S", &iseed[1], "S", &work[1], &imode, &cond,
&anorm, &n, &n, "N", &a[a_offset], lda, &work[n + 1],
&iinfo);
} else if (itype == 7) {
/* Diagonal, random eigenvalues */
dlatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b39,
&c_b39, "T", "N", &work[n + 1], &c__1, &c_b39, &work[(
n << 1) + 1], &c__1, &c_b39, "N", idumma, &c__0, &
c__0, &c_b25, &anorm, "NO", &a[a_offset], lda, &iwork[
1], &iinfo);
} else if (itype == 8) {
/* Symmetric, random eigenvalues */
dlatmr_(&n, &n, "S", &iseed[1], "S", &work[1], &c__6, &c_b39,
&c_b39, "T", "N", &work[n + 1], &c__1, &c_b39, &work[(
n << 1) + 1], &c__1, &c_b39, "N", idumma, &n, &n, &
c_b25, &anorm, "NO", &a[a_offset], lda, &iwork[1], &
iinfo);
} else if (itype == 9) {
/* Positive definite, eigenvalues specified. */
dlatms_(&n, &n, "S", &iseed[1], "P", &work[1], &imode, &cond,
&anorm, &n, &n, "N", &a[a_offset], lda, &work[n + 1],
&iinfo);
} else if (itype == 10) {
/* Positive definite tridiagonal, eigenvalues specified. */
dlatms_(&n, &n, "S", &iseed[1], "P", &work[1], &imode, &cond,
&anorm, &c__1, &c__1, "N", &a[a_offset], lda, &work[n
+ 1], &iinfo);
i__3 = n;
for (i__ = 2; i__ <= i__3; ++i__) {
temp1 = (d__1 = a_ref(i__ - 1, i__), abs(d__1)) / sqrt((
d__2 = a_ref(i__ - 1, i__ - 1) * a_ref(i__, i__),
abs(d__2)));
if (temp1 > .5) {
a_ref(i__ - 1, i__) = sqrt((d__1 = a_ref(i__ - 1, i__
- 1) * a_ref(i__, i__), abs(d__1))) * .5;
a_ref(i__, i__ - 1) = a_ref(i__ - 1, i__);
}
/* L90: */
}
} else {
iinfo = 1;
}
if (iinfo != 0) {
io___39.ciunit = *nounit;
s_wsfe(&io___39);
do_fio(&c__1, "Generator", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
return 0;
}
L100:
/* Call DSYTRD and DORGTR to compute S and U from
upper triangle. */
dlacpy_("U", &n, &n, &a[a_offset], lda, &v[v_offset], ldu);
ntest = 1;
dsytrd_("U", &n, &v[v_offset], ldu, &sd[1], &se[1], &tau[1], &
work[1], lwork, &iinfo);
if (iinfo != 0) {
io___40.ciunit = *nounit;
s_wsfe(&io___40);
do_fio(&c__1, "DSYTRD(U)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[1] = ulpinv;
goto L280;
}
}
dlacpy_("U", &n, &n, &v[v_offset], ldu, &u[u_offset], ldu);
ntest = 2;
dorgtr_("U", &n, &u[u_offset], ldu, &tau[1], &work[1], lwork, &
iinfo);
if (iinfo != 0) {
io___41.ciunit = *nounit;
s_wsfe(&io___41);
do_fio(&c__1, "DORGTR(U)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[2] = ulpinv;
goto L280;
}
}
/* Do tests 1 and 2 */
dsyt21_(&c__2, "Upper", &n, &c__1, &a[a_offset], lda, &sd[1], &se[
1], &u[u_offset], ldu, &v[v_offset], ldu, &tau[1], &work[
1], &result[1]);
dsyt21_(&c__3, "Upper", &n, &c__1, &a[a_offset], lda, &sd[1], &se[
1], &u[u_offset], ldu, &v[v_offset], ldu, &tau[1], &work[
1], &result[2]);
/* Call DSYTRD and DORGTR to compute S and U from
lower triangle, do tests. */
dlacpy_("L", &n, &n, &a[a_offset], lda, &v[v_offset], ldu);
ntest = 3;
dsytrd_("L", &n, &v[v_offset], ldu, &sd[1], &se[1], &tau[1], &
work[1], lwork, &iinfo);
if (iinfo != 0) {
io___42.ciunit = *nounit;
s_wsfe(&io___42);
do_fio(&c__1, "DSYTRD(L)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[3] = ulpinv;
goto L280;
}
}
dlacpy_("L", &n, &n, &v[v_offset], ldu, &u[u_offset], ldu);
ntest = 4;
dorgtr_("L", &n, &u[u_offset], ldu, &tau[1], &work[1], lwork, &
iinfo);
if (iinfo != 0) {
io___43.ciunit = *nounit;
s_wsfe(&io___43);
do_fio(&c__1, "DORGTR(L)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[4] = ulpinv;
goto L280;
}
}
dsyt21_(&c__2, "Lower", &n, &c__1, &a[a_offset], lda, &sd[1], &se[
1], &u[u_offset], ldu, &v[v_offset], ldu, &tau[1], &work[
1], &result[3]);
dsyt21_(&c__3, "Lower", &n, &c__1, &a[a_offset], lda, &sd[1], &se[
1], &u[u_offset], ldu, &v[v_offset], ldu, &tau[1], &work[
1], &result[4]);
/* Store the upper triangle of A in AP */
i__ = 0;
i__3 = n;
for (jc = 1; jc <= i__3; ++jc) {
i__4 = jc;
for (jr = 1; jr <= i__4; ++jr) {
++i__;
ap[i__] = a_ref(jr, jc);
/* L110: */
}
/* L120: */
}
/* Call DSPTRD and DOPGTR to compute S and U from AP */
dcopy_(&nap, &ap[1], &c__1, &vp[1], &c__1);
ntest = 5;
dsptrd_("U", &n, &vp[1], &sd[1], &se[1], &tau[1], &iinfo);
if (iinfo != 0) {
io___45.ciunit = *nounit;
s_wsfe(&io___45);
do_fio(&c__1, "DSPTRD(U)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[5] = ulpinv;
goto L280;
}
}
ntest = 6;
dopgtr_("U", &n, &vp[1], &tau[1], &u[u_offset], ldu, &work[1], &
iinfo);
if (iinfo != 0) {
io___46.ciunit = *nounit;
s_wsfe(&io___46);
do_fio(&c__1, "DOPGTR(U)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[6] = ulpinv;
goto L280;
}
}
/* Do tests 5 and 6 */
dspt21_(&c__2, "Upper", &n, &c__1, &ap[1], &sd[1], &se[1], &u[
u_offset], ldu, &vp[1], &tau[1], &work[1], &result[5]);
dspt21_(&c__3, "Upper", &n, &c__1, &ap[1], &sd[1], &se[1], &u[
u_offset], ldu, &vp[1], &tau[1], &work[1], &result[6]);
/* Store the lower triangle of A in AP */
i__ = 0;
i__3 = n;
for (jc = 1; jc <= i__3; ++jc) {
i__4 = n;
for (jr = jc; jr <= i__4; ++jr) {
++i__;
ap[i__] = a_ref(jr, jc);
/* L130: */
}
/* L140: */
}
/* Call DSPTRD and DOPGTR to compute S and U from AP */
dcopy_(&nap, &ap[1], &c__1, &vp[1], &c__1);
ntest = 7;
dsptrd_("L", &n, &vp[1], &sd[1], &se[1], &tau[1], &iinfo);
if (iinfo != 0) {
io___47.ciunit = *nounit;
s_wsfe(&io___47);
do_fio(&c__1, "DSPTRD(L)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[7] = ulpinv;
goto L280;
}
}
ntest = 8;
dopgtr_("L", &n, &vp[1], &tau[1], &u[u_offset], ldu, &work[1], &
iinfo);
if (iinfo != 0) {
io___48.ciunit = *nounit;
s_wsfe(&io___48);
do_fio(&c__1, "DOPGTR(L)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[8] = ulpinv;
goto L280;
}
}
dspt21_(&c__2, "Lower", &n, &c__1, &ap[1], &sd[1], &se[1], &u[
u_offset], ldu, &vp[1], &tau[1], &work[1], &result[7]);
dspt21_(&c__3, "Lower", &n, &c__1, &ap[1], &sd[1], &se[1], &u[
u_offset], ldu, &vp[1], &tau[1], &work[1], &result[8]);
/* Call DSTEQR to compute D1, D2, and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d1[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
ntest = 9;
dsteqr_("V", &n, &d1[1], &work[1], &z__[z_offset], ldu, &work[n +
1], &iinfo);
if (iinfo != 0) {
io___49.ciunit = *nounit;
s_wsfe(&io___49);
do_fio(&c__1, "DSTEQR(V)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[9] = ulpinv;
goto L280;
}
}
/* Compute D2 */
dcopy_(&n, &sd[1], &c__1, &d2[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 11;
dsteqr_("N", &n, &d2[1], &work[1], &work[n + 1], ldu, &work[n + 1]
, &iinfo);
if (iinfo != 0) {
io___50.ciunit = *nounit;
s_wsfe(&io___50);
do_fio(&c__1, "DSTEQR(N)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[11] = ulpinv;
goto L280;
}
}
/* Compute D3 (using PWK method) */
dcopy_(&n, &sd[1], &c__1, &d3[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 12;
dsterf_(&n, &d3[1], &work[1], &iinfo);
if (iinfo != 0) {
io___51.ciunit = *nounit;
s_wsfe(&io___51);
do_fio(&c__1, "DSTERF", (ftnlen)6);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[12] = ulpinv;
goto L280;
}
}
/* Do Tests 9 and 10 */
dstt21_(&n, &c__0, &sd[1], &se[1], &d1[1], dumma, &z__[z_offset],
ldu, &work[1], &result[9]);
/* Do Tests 11 and 12 */
temp1 = 0.;
temp2 = 0.;
temp3 = 0.;
temp4 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(
d__3,d__4), d__4 = (d__2 = d2[j], abs(d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d1[j] - d2[j], abs(d__1));
temp2 = max(d__2,d__3);
/* Computing MAX */
d__3 = temp3, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(
d__3,d__4), d__4 = (d__2 = d3[j], abs(d__2));
temp3 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp4, d__3 = (d__1 = d1[j] - d3[j], abs(d__1));
temp4 = max(d__2,d__3);
/* L150: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[11] = temp2 / max(d__1,d__2);
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp3,temp4);
result[12] = temp4 / max(d__1,d__2);
/* Do Test 13 -- Sturm Sequence Test of Eigenvalues
Go up by factors of two until it succeeds */
ntest = 13;
temp1 = *thresh * (.5 - ulp);
i__3 = log2ui;
for (j = 0; j <= i__3; ++j) {
dstech_(&n, &sd[1], &se[1], &d1[1], &temp1, &work[1], &iinfo);
if (iinfo == 0) {
goto L170;
}
temp1 *= 2.;
/* L160: */
}
L170:
result[13] = temp1;
/* For positive definite matrices ( JTYPE.GT.15 ) call DPTEQR
and do tests 14, 15, and 16 . */
if (jtype > 15) {
/* Compute D4 and Z4 */
dcopy_(&n, &sd[1], &c__1, &d4[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
ntest = 14;
dpteqr_("V", &n, &d4[1], &work[1], &z__[z_offset], ldu, &work[
n + 1], &iinfo);
if (iinfo != 0) {
io___56.ciunit = *nounit;
s_wsfe(&io___56);
do_fio(&c__1, "DPTEQR(V)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[14] = ulpinv;
goto L280;
}
}
/* Do Tests 14 and 15 */
dstt21_(&n, &c__0, &sd[1], &se[1], &d4[1], dumma, &z__[
z_offset], ldu, &work[1], &result[14]);
/* Compute D5 */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 16;
dpteqr_("N", &n, &d5[1], &work[1], &z__[z_offset], ldu, &work[
n + 1], &iinfo);
if (iinfo != 0) {
io___57.ciunit = *nounit;
s_wsfe(&io___57);
do_fio(&c__1, "DPTEQR(N)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[16] = ulpinv;
goto L280;
}
}
/* Do Test 16 */
temp1 = 0.;
temp2 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d4[j], abs(d__1)), d__3 =
max(d__3,d__4), d__4 = (d__2 = d5[j], abs(d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d4[j] - d5[j], abs(d__1));
temp2 = max(d__2,d__3);
/* L180: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * 100. * max(temp1,temp2);
result[16] = temp2 / max(d__1,d__2);
} else {
result[14] = 0.;
result[15] = 0.;
result[16] = 0.;
}
/* Call DSTEBZ with different options and do tests 17-18.
If S is positive definite and diagonally dominant,
ask for all eigenvalues with high relative accuracy. */
vl = 0.;
vu = 0.;
il = 0;
iu = 0;
if (jtype == 21) {
ntest = 17;
abstol = unfl + unfl;
dstebz_("A", "E", &n, &vl, &vu, &il, &iu, &abstol, &sd[1], &
se[1], &m, &nsplit, &wr[1], &iwork[1], &iwork[n + 1],
&work[1], &iwork[(n << 1) + 1], &iinfo);
if (iinfo != 0) {
io___65.ciunit = *nounit;
s_wsfe(&io___65);
do_fio(&c__1, "DSTEBZ(A,rel)", (ftnlen)13);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[17] = ulpinv;
goto L280;
}
}
/* Do test 17 */
temp2 = (n * 2. - 1.) * 2. * ulp * 3. / .0625;
temp1 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__2 = d4[j] - wr[n - j + 1], abs(
d__2)) / (abstol + (d__1 = d4[j], abs(d__1)));
temp1 = max(d__3,d__4);
/* L190: */
}
result[17] = temp1 / temp2;
} else {
result[17] = 0.;
}
/* Now ask for all eigenvalues with high absolute accuracy. */
ntest = 18;
abstol = unfl + unfl;
dstebz_("A", "E", &n, &vl, &vu, &il, &iu, &abstol, &sd[1], &se[1],
&m, &nsplit, &wa1[1], &iwork[1], &iwork[n + 1], &work[1],
&iwork[(n << 1) + 1], &iinfo);
if (iinfo != 0) {
io___66.ciunit = *nounit;
s_wsfe(&io___66);
do_fio(&c__1, "DSTEBZ(A)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[18] = ulpinv;
goto L280;
}
}
/* Do test 18 */
temp1 = 0.;
temp2 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d3[j], abs(d__1)), d__3 = max(
d__3,d__4), d__4 = (d__2 = wa1[j], abs(d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d3[j] - wa1[j], abs(d__1));
temp2 = max(d__2,d__3);
/* L200: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[18] = temp2 / max(d__1,d__2);
/* Choose random values for IL and IU, and ask for the
IL-th through IU-th eigenvalues. */
ntest = 19;
if (n <= 1) {
il = 1;
iu = n;
} else {
il = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
iu = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
if (iu < il) {
itemp = iu;
iu = il;
il = itemp;
}
}
dstebz_("I", "E", &n, &vl, &vu, &il, &iu, &abstol, &sd[1], &se[1],
&m2, &nsplit, &wa2[1], &iwork[1], &iwork[n + 1], &work[1]
, &iwork[(n << 1) + 1], &iinfo);
if (iinfo != 0) {
io___69.ciunit = *nounit;
s_wsfe(&io___69);
do_fio(&c__1, "DSTEBZ(I)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[19] = ulpinv;
goto L280;
}
}
/* Determine the values VL and VU of the IL-th and IU-th
eigenvalues and ask for all eigenvalues in this range. */
if (n > 0) {
if (il != 1) {
/* Computing MAX */
d__1 = (wa1[il] - wa1[il - 1]) * .5, d__2 = ulp * anorm,
d__1 = max(d__1,d__2), d__2 = rtunfl * 2.;
vl = wa1[il] - max(d__1,d__2);
} else {
/* Computing MAX */
d__1 = (wa1[n] - wa1[1]) * .5, d__2 = ulp * anorm, d__1 =
max(d__1,d__2), d__2 = rtunfl * 2.;
vl = wa1[1] - max(d__1,d__2);
}
if (iu != n) {
/* Computing MAX */
d__1 = (wa1[iu + 1] - wa1[iu]) * .5, d__2 = ulp * anorm,
d__1 = max(d__1,d__2), d__2 = rtunfl * 2.;
vu = wa1[iu] + max(d__1,d__2);
} else {
/* Computing MAX */
d__1 = (wa1[n] - wa1[1]) * .5, d__2 = ulp * anorm, d__1 =
max(d__1,d__2), d__2 = rtunfl * 2.;
vu = wa1[n] + max(d__1,d__2);
}
} else {
vl = 0.;
vu = 1.;
}
dstebz_("V", "E", &n, &vl, &vu, &il, &iu, &abstol, &sd[1], &se[1],
&m3, &nsplit, &wa3[1], &iwork[1], &iwork[n + 1], &work[1]
, &iwork[(n << 1) + 1], &iinfo);
if (iinfo != 0) {
io___71.ciunit = *nounit;
s_wsfe(&io___71);
do_fio(&c__1, "DSTEBZ(V)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[19] = ulpinv;
goto L280;
}
}
if (m3 == 0 && n != 0) {
result[19] = ulpinv;
goto L280;
}
/* Do test 19 */
temp1 = dsxt1_(&c__1, &wa2[1], &m2, &wa3[1], &m3, &abstol, &ulp, &
unfl);
temp2 = dsxt1_(&c__1, &wa3[1], &m3, &wa2[1], &m2, &abstol, &ulp, &
unfl);
if (n > 0) {
/* Computing MAX */
d__2 = (d__1 = wa1[n], abs(d__1)), d__3 = abs(wa1[1]);
temp3 = max(d__2,d__3);
} else {
temp3 = 0.;
}
/* Computing MAX */
d__1 = unfl, d__2 = temp3 * ulp;
result[19] = (temp1 + temp2) / max(d__1,d__2);
/* Call DSTEIN to compute eigenvectors corresponding to
eigenvalues in WA1. (First call DSTEBZ again, to make sure
it returns these eigenvalues in the correct order.) */
ntest = 21;
dstebz_("A", "B", &n, &vl, &vu, &il, &iu, &abstol, &sd[1], &se[1],
&m, &nsplit, &wa1[1], &iwork[1], &iwork[n + 1], &work[1],
&iwork[(n << 1) + 1], &iinfo);
if (iinfo != 0) {
io___72.ciunit = *nounit;
s_wsfe(&io___72);
do_fio(&c__1, "DSTEBZ(A,B)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[20] = ulpinv;
result[21] = ulpinv;
goto L280;
}
}
dstein_(&n, &sd[1], &se[1], &m, &wa1[1], &iwork[1], &iwork[n + 1],
&z__[z_offset], ldu, &work[1], &iwork[(n << 1) + 1], &
iwork[n * 3 + 1], &iinfo);
if (iinfo != 0) {
io___73.ciunit = *nounit;
s_wsfe(&io___73);
do_fio(&c__1, "DSTEIN", (ftnlen)6);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[20] = ulpinv;
result[21] = ulpinv;
goto L280;
}
}
/* Do tests 20 and 21 */
dstt21_(&n, &c__0, &sd[1], &se[1], &wa1[1], dumma, &z__[z_offset],
ldu, &work[1], &result[20]);
/* Call DSTEDC(I) to compute D1 and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d1[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
ntest = 22;
i__3 = lwedc - n;
dstedc_("I", &n, &d1[1], &work[1], &z__[z_offset], ldu, &work[n +
1], &i__3, &iwork[1], &liwedc, &iinfo);
if (iinfo != 0) {
io___74.ciunit = *nounit;
s_wsfe(&io___74);
do_fio(&c__1, "DSTEDC(I)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[22] = ulpinv;
goto L280;
}
}
/* Do Tests 22 and 23 */
dstt21_(&n, &c__0, &sd[1], &se[1], &d1[1], dumma, &z__[z_offset],
ldu, &work[1], &result[22]);
/* Call DSTEDC(V) to compute D1 and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d1[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
ntest = 24;
i__3 = lwedc - n;
dstedc_("V", &n, &d1[1], &work[1], &z__[z_offset], ldu, &work[n +
1], &i__3, &iwork[1], &liwedc, &iinfo);
if (iinfo != 0) {
io___75.ciunit = *nounit;
s_wsfe(&io___75);
do_fio(&c__1, "DSTEDC(V)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[24] = ulpinv;
goto L280;
}
}
/* Do Tests 24 and 25 */
dstt21_(&n, &c__0, &sd[1], &se[1], &d1[1], dumma, &z__[z_offset],
ldu, &work[1], &result[24]);
/* Call DSTEDC(N) to compute D2, do tests.
Compute D2 */
dcopy_(&n, &sd[1], &c__1, &d2[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
ntest = 26;
i__3 = lwedc - n;
dstedc_("N", &n, &d2[1], &work[1], &z__[z_offset], ldu, &work[n +
1], &i__3, &iwork[1], &liwedc, &iinfo);
if (iinfo != 0) {
io___76.ciunit = *nounit;
s_wsfe(&io___76);
do_fio(&c__1, "DSTEDC(N)", (ftnlen)9);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[26] = ulpinv;
goto L280;
}
}
/* Do Test 26 */
temp1 = 0.;
temp2 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 = max(
d__3,d__4), d__4 = (d__2 = d2[j], abs(d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d1[j] - d2[j], abs(d__1));
temp2 = max(d__2,d__3);
/* L210: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[26] = temp2 / max(d__1,d__2);
/* Only test DSTEGR if IEEE compliant */
if (ilaenv_(&c__10, "DSTEGR", "VA", &c__1, &c__0, &c__0, &c__0, (
ftnlen)6, (ftnlen)2) == 1 && ilaenv_(&c__11, "DSTEGR",
"VA", &c__1, &c__0, &c__0, &c__0, (ftnlen)6, (ftnlen)2) ==
1) {
/* Call DSTEGR, do test 27 (relative eigenvalue accuracy)
If S is positive definite and diagonally dominant,
ask for all eigenvalues with high relative accuracy. */
vl = 0.;
vu = 0.;
il = 0;
iu = 0;
if (FALSE_) {
ntest = 27;
abstol = unfl + unfl;
i__3 = *lwork - (n << 1);
dstegr_("V", "A", &n, &sd[1], &se[1], &vl, &vu, &il, &iu,
&abstol, &m, &wr[1], &z__[z_offset], ldu, &iwork[
1], &work[1], lwork, &iwork[(n << 1) + 1], &i__3,
&iinfo);
if (iinfo != 0) {
io___77.ciunit = *nounit;
s_wsfe(&io___77);
do_fio(&c__1, "DSTEGR(V,A,rel)", (ftnlen)15);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[27] = ulpinv;
goto L270;
}
}
/* Do test 27 */
temp2 = (n * 2. - 1.) * 2. * ulp * 3. / .0625;
temp1 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__2 = d4[j] - wr[n - j + 1],
abs(d__2)) / (abstol + (d__1 = d4[j], abs(
d__1)));
temp1 = max(d__3,d__4);
/* L220: */
}
result[27] = temp1 / temp2;
il = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
iu = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
if (iu < il) {
itemp = iu;
iu = il;
il = itemp;
}
if (FALSE_) {
ntest = 28;
abstol = unfl + unfl;
i__3 = *lwork - (n << 1);
dstegr_("V", "I", &n, &sd[1], &se[1], &vl, &vu, &il, &
iu, &abstol, &m, &wr[1], &z__[z_offset], ldu,
&iwork[1], &work[1], lwork, &iwork[(n << 1) +
1], &i__3, &iinfo);
if (iinfo != 0) {
io___78.ciunit = *nounit;
s_wsfe(&io___78);
do_fio(&c__1, "DSTEGR(V,I,rel)", (ftnlen)15);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(
integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(
integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[28] = ulpinv;
goto L270;
}
}
/* Do test 28 */
temp2 = (n * 2. - 1.) * 2. * ulp * 3. / .0625;
temp1 = 0.;
i__3 = iu;
for (j = il; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__2 = wr[j - il + 1] - d4[
n - j + 1], abs(d__2)) / (abstol + (d__1 =
wr[j - il + 1], abs(d__1)));
temp1 = max(d__3,d__4);
/* L230: */
}
result[28] = temp1 / temp2;
} else {
result[28] = 0.;
}
} else {
result[27] = 0.;
result[28] = 0.;
}
/* Call DSTEGR(V,I) to compute D1 and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset], ldu);
if (FALSE_) {
ntest = 29;
il = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
iu = (n - 1) * (integer) dlarnd_(&c__1, iseed2) + 1;
if (iu < il) {
itemp = iu;
iu = il;
il = itemp;
}
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("V", "I", &n, &d5[1], &work[1], &vl, &vu, &il, &
iu, &abstol, &m, &d1[1], &z__[z_offset], ldu, &
iwork[1], &work[n + 1], &i__3, &iwork[(n << 1) +
1], &i__4, &iinfo);
if (iinfo != 0) {
io___79.ciunit = *nounit;
s_wsfe(&io___79);
do_fio(&c__1, "DSTEGR(V,I)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[29] = ulpinv;
goto L280;
}
}
/* Do Tests 29 and 30 */
dstt22_(&n, &m, &c__0, &sd[1], &se[1], &d1[1], dumma, &
z__[z_offset], ldu, &work[1], &m, &result[29]);
/* Call DSTEGR to compute D2, do tests.
Compute D2 */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 31;
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("N", "I", &n, &d5[1], &work[1], &vl, &vu, &il, &
iu, &abstol, &m, &d2[1], &z__[z_offset], ldu, &
iwork[1], &work[n + 1], &i__3, &iwork[(n << 1) +
1], &i__4, &iinfo);
if (iinfo != 0) {
io___80.ciunit = *nounit;
s_wsfe(&io___80);
do_fio(&c__1, "DSTEGR(N,I)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[31] = ulpinv;
goto L280;
}
}
/* Do Test 31 */
temp1 = 0.;
temp2 = 0.;
i__3 = iu - il + 1;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 =
max(d__3,d__4), d__4 = (d__2 = d2[j], abs(
d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d1[j] - d2[j], abs(d__1))
;
temp2 = max(d__2,d__3);
/* L240: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[31] = temp2 / max(d__1,d__2);
/* Call DSTEGR(V,V) to compute D1 and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
dlaset_("Full", &n, &n, &c_b25, &c_b39, &z__[z_offset],
ldu);
ntest = 32;
if (n > 0) {
if (il != 1) {
/* Computing MAX */
d__1 = (d2[il] - d2[il - 1]) * .5, d__2 = ulp *
anorm, d__1 = max(d__1,d__2), d__2 =
rtunfl * 2.;
vl = d2[il] - max(d__1,d__2);
} else {
/* Computing MAX */
d__1 = (d2[n] - d2[1]) * .5, d__2 = ulp * anorm,
d__1 = max(d__1,d__2), d__2 = rtunfl * 2.;
vl = d2[1] - max(d__1,d__2);
}
if (iu != n) {
/* Computing MAX */
d__1 = (d2[iu + 1] - d2[iu]) * .5, d__2 = ulp *
anorm, d__1 = max(d__1,d__2), d__2 =
rtunfl * 2.;
vu = d2[iu] + max(d__1,d__2);
} else {
/* Computing MAX */
d__1 = (d2[n] - d2[1]) * .5, d__2 = ulp * anorm,
d__1 = max(d__1,d__2), d__2 = rtunfl * 2.;
vu = d2[n] + max(d__1,d__2);
}
} else {
vl = 0.;
vu = 1.;
}
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("V", "V", &n, &d5[1], &work[1], &vl, &vu, &il, &
iu, &abstol, &m, &d1[1], &z__[z_offset], ldu, &
iwork[1], &work[n + 1], &i__3, &iwork[(n << 1) +
1], &i__4, &iinfo);
if (iinfo != 0) {
io___81.ciunit = *nounit;
s_wsfe(&io___81);
do_fio(&c__1, "DSTEGR(V,V)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[32] = ulpinv;
goto L280;
}
}
/* Do Tests 32 and 33 */
dstt22_(&n, &m, &c__0, &sd[1], &se[1], &d1[1], dumma, &
z__[z_offset], ldu, &work[1], &m, &result[32]);
/* Call DSTEGR to compute D2, do tests.
Compute D2 */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 34;
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("N", "V", &n, &d5[1], &work[1], &vl, &vu, &il, &
iu, &abstol, &m, &d2[1], &z__[z_offset], ldu, &
iwork[1], &work[n + 1], &i__3, &iwork[(n << 1) +
1], &i__4, &iinfo);
if (iinfo != 0) {
io___82.ciunit = *nounit;
s_wsfe(&io___82);
do_fio(&c__1, "DSTEGR(N,V)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer))
;
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(
integer));
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[34] = ulpinv;
goto L280;
}
}
/* Do Test 34 */
temp1 = 0.;
temp2 = 0.;
i__3 = iu - il + 1;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 =
max(d__3,d__4), d__4 = (d__2 = d2[j], abs(
d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d1[j] - d2[j], abs(d__1))
;
temp2 = max(d__2,d__3);
/* L250: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[34] = temp2 / max(d__1,d__2);
} else {
result[29] = 0.;
result[30] = 0.;
result[31] = 0.;
result[32] = 0.;
result[33] = 0.;
result[34] = 0.;
}
/* Call DSTEGR(V,A) to compute D1 and Z, do tests.
Compute D1 and Z */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 35;
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("V", "A", &n, &d5[1], &work[1], &vl, &vu, &il, &iu, &
abstol, &m, &d1[1], &z__[z_offset], ldu, &iwork[1], &
work[n + 1], &i__3, &iwork[(n << 1) + 1], &i__4, &
iinfo);
if (iinfo != 0) {
io___83.ciunit = *nounit;
s_wsfe(&io___83);
do_fio(&c__1, "DSTEGR(V,A)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[35] = ulpinv;
goto L280;
}
}
/* Do Tests 35 and 36 */
dstt22_(&n, &m, &c__0, &sd[1], &se[1], &d1[1], dumma, &z__[
z_offset], ldu, &work[1], &m, &result[35]);
/* Call DSTEGR to compute D2, do tests.
Compute D2 */
dcopy_(&n, &sd[1], &c__1, &d5[1], &c__1);
if (n > 0) {
i__3 = n - 1;
dcopy_(&i__3, &se[1], &c__1, &work[1], &c__1);
}
ntest = 37;
i__3 = *lwork - n;
i__4 = *liwork - (n << 1);
dstegr_("N", "A", &n, &d5[1], &work[1], &vl, &vu, &il, &iu, &
abstol, &m, &d2[1], &z__[z_offset], ldu, &iwork[1], &
work[n + 1], &i__3, &iwork[(n << 1) + 1], &i__4, &
iinfo);
if (iinfo != 0) {
io___84.ciunit = *nounit;
s_wsfe(&io___84);
do_fio(&c__1, "DSTEGR(N,A)", (ftnlen)11);
do_fio(&c__1, (char *)&iinfo, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
e_wsfe();
*info = abs(iinfo);
if (iinfo < 0) {
return 0;
} else {
result[37] = ulpinv;
goto L280;
}
}
/* Do Test 34 */
temp1 = 0.;
temp2 = 0.;
i__3 = n;
for (j = 1; j <= i__3; ++j) {
/* Computing MAX */
d__3 = temp1, d__4 = (d__1 = d1[j], abs(d__1)), d__3 =
max(d__3,d__4), d__4 = (d__2 = d2[j], abs(d__2));
temp1 = max(d__3,d__4);
/* Computing MAX */
d__2 = temp2, d__3 = (d__1 = d1[j] - d2[j], abs(d__1));
temp2 = max(d__2,d__3);
/* L260: */
}
/* Computing MAX */
d__1 = unfl, d__2 = ulp * max(temp1,temp2);
result[37] = temp2 / max(d__1,d__2);
}
L270:
L280:
ntestt += ntest;
/* End of Loop -- Check for RESULT(j) > THRESH
Print out tests which fail. */
i__3 = ntest;
for (jr = 1; jr <= i__3; ++jr) {
if (result[jr] >= *thresh) {
/* If this is the first test to fail,
print a header to the data file. */
if (nerrs == 0) {
io___85.ciunit = *nounit;
s_wsfe(&io___85);
do_fio(&c__1, "DST", (ftnlen)3);
e_wsfe();
io___86.ciunit = *nounit;
s_wsfe(&io___86);
e_wsfe();
io___87.ciunit = *nounit;
s_wsfe(&io___87);
e_wsfe();
io___88.ciunit = *nounit;
s_wsfe(&io___88);
do_fio(&c__1, "Symmetric", (ftnlen)9);
e_wsfe();
io___89.ciunit = *nounit;
s_wsfe(&io___89);
e_wsfe();
/* Tests performed */
io___90.ciunit = *nounit;
s_wsfe(&io___90);
e_wsfe();
}
++nerrs;
io___91.ciunit = *nounit;
s_wsfe(&io___91);
do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer));
do_fio(&c__4, (char *)&ioldsd[0], (ftnlen)sizeof(integer))
;
do_fio(&c__1, (char *)&jtype, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&jr, (ftnlen)sizeof(integer));
do_fio(&c__1, (char *)&result[jr], (ftnlen)sizeof(
doublereal));
e_wsfe();
}
/* L290: */
}
L300:
;
}
/* L310: */
}
/* Summary */
dlasum_("DST", nounit, &nerrs, &ntestt);
return 0;
/* L9993:
L9992:
L9991:
L9989:
End of DCHKST */
} /* dchkst_ */
#undef a_ref