#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 doublecomplex c_b1 = {0.,0.}; static doublecomplex c_b2 = {1.,0.}; static integer c__0 = 0; static integer c__4 = 4; static integer c__6 = 6; static doublereal c_b38 = 1.; static integer c__1 = 1; static doublereal c_b48 = 0.; static integer c__2 = 2; /* Subroutine */ int zdrvev_(integer *nsizes, integer *nn, integer *ntypes, logical *dotype, integer *iseed, doublereal *thresh, integer *nounit, doublecomplex *a, integer *lda, doublecomplex *h__, doublecomplex *w, doublecomplex *w1, doublecomplex *vl, integer *ldvl, doublecomplex * vr, integer *ldvr, doublecomplex *lre, integer *ldlre, doublereal * result, doublecomplex *work, integer *nwork, doublereal *rwork, integer *iwork, integer *info) { /* Initialized data */ static integer ktype[21] = { 1,2,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,9,9,9 }; static integer kmagn[21] = { 1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,3,1,2,3 }; static integer kmode[21] = { 0,0,0,4,3,1,4,4,4,3,1,5,4,3,1,5,5,5,4,3,1 }; static integer kconds[21] = { 0,0,0,0,0,0,0,0,1,1,1,1,2,2,2,2,2,2,0,0,0 }; /* Format strings */ static char fmt_9993[] = "(\002 ZDRVEV: \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_9999[] = "(/1x,a3,\002 -- Complex Eigenvalue-Eigenvect" "or \002,\002Decomposition Driver\002,/\002 Matrix types (see ZDR" "VEV for details): \002)"; static char fmt_9998[] = "(/\002 Special Matrices:\002,/\002 1=Zero mat" "rix. \002,\002 \002,\002 5=Diagonal: geom" "etr. spaced entries.\002,/\002 2=Identity matrix. " " \002,\002 6=Diagona\002,\002l: clustered entries.\002," "/\002 3=Transposed Jordan block. \002,\002 \002,\002 " " 7=Diagonal: large, evenly spaced.\002,/\002 \002,\0024=Diagona" "l: evenly spaced entries. \002,\002 8=Diagonal: s\002,\002ma" "ll, evenly spaced.\002)"; static char fmt_9997[] = "(\002 Dense, Non-Symmetric Matrices:\002,/\002" " 9=Well-cond., ev\002,\002enly spaced eigenvals.\002,\002 14=Il" "l-cond., geomet. spaced e\002,\002igenals.\002,/\002 10=Well-con" "d., geom. spaced eigenvals. \002,\002 15=Ill-conditioned, cluste" "red e.vals.\002,/\002 11=Well-cond\002,\002itioned, clustered e." "vals. \002,\002 16=Ill-cond., random comp\002,\002lex \002,a6," "/\002 12=Well-cond., random complex \002,a6,\002 \002,\002 17=" "Ill-cond., large rand. complx \002,a4,/\002 13=Ill-condi\002," "\002tioned, evenly spaced. \002,\002 18=Ill-cond., small ran" "d.\002,\002 complx \002,a4)"; static char fmt_9996[] = "(\002 19=Matrix with random O(1) entries. " " \002,\002 21=Matrix \002,\002with small random entries.\002," "/\002 20=Matrix with large ran\002,\002dom entries. \002,/)"; static char fmt_9995[] = "(\002 Tests performed with test threshold =" "\002,f8.2,//\002 1 = | A VR - VR W | / ( n |A| ulp ) \002,/\002 " "2 = | conj-trans(A) VL - VL conj-trans(W) | /\002,\002 ( n |A| u" "lp ) \002,/\002 3 = | |VR(i)| - 1 | / ulp \002,/\002 4 = | |VL(i" ")| - 1 | / ulp \002,/\002 5 = 0 if W same no matter if VR or VL " "computed,\002,\002 1/ulp otherwise\002,/\002 6 = 0 if VR same no" " matter if VL computed,\002,\002 1/ulp otherwise\002,/\002 7 = " "0 if VL same no matter if VR computed,\002,\002 1/ulp otherwis" "e\002,/)"; static char fmt_9994[] = "(\002 N=\002,i5,\002, IWK=\002,i2,\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, h_dim1, h_offset, lre_dim1, lre_offset, vl_dim1, vl_offset, vr_dim1, vr_offset, i__1, i__2, i__3, i__4, i__5, i__6; doublereal d__1, d__2, d__3, d__4, d__5; doublecomplex z__1; /* Builtin functions Subroutine */ int s_copy(char *, char *, ftnlen, ftnlen); double sqrt(doublereal); integer s_wsfe(cilist *), do_fio(integer *, char *, ftnlen), e_wsfe(void); double z_abs(doublecomplex *), d_imag(doublecomplex *); /* Local variables */ static doublereal cond; static integer jcol; static char path[3]; static integer nmax; static doublereal unfl, ovfl, tnrm, vrmx, vtst; static integer j, n; static logical badnn; static integer nfail, imode, iinfo; static doublereal conds, anorm; extern /* Subroutine */ int zget22_(char *, char *, char *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, doublereal *, doublereal *), zgeev_(char *, char *, integer *, doublecomplex *, integer *, doublecomplex *, doublecomplex *, integer *, doublecomplex *, integer *, doublecomplex *, integer *, doublereal *, integer *); static integer jsize, nerrs, itype, jtype, ntest; static doublereal rtulp; extern /* Subroutine */ int dlabad_(doublereal *, doublereal *); extern doublereal dznrm2_(integer *, doublecomplex *, integer *); static integer jj; extern doublereal dlamch_(char *); static integer idumma[1]; extern /* Subroutine */ int xerbla_(char *, integer *); static integer ioldsd[4]; extern /* Subroutine */ int dlasum_(char *, integer *, integer *, integer *), zlatme_(integer *, char *, integer *, doublecomplex *, integer *, doublereal *, doublecomplex *, char *, char *, char *, char *, doublereal *, integer *, doublereal *, integer *, integer *, doublereal *, doublecomplex *, integer *, doublecomplex *, integer *), zlacpy_(char *, integer *, integer *, doublecomplex *, integer *, doublecomplex *, integer *); static integer ntestf; extern /* Subroutine */ int zlaset_(char *, integer *, integer *, doublecomplex *, doublecomplex *, doublecomplex *, integer *), zlatmr_(integer *, integer *, char *, integer *, char *, doublecomplex *, integer *, doublereal *, doublecomplex *, char *, char *, doublecomplex *, integer *, doublereal *, doublecomplex * , integer *, doublereal *, char *, integer *, integer *, integer * , doublereal *, doublereal *, char *, doublecomplex *, integer *, integer *, integer *), zlatms_(integer *, integer *, char *, integer *, char *, doublereal *, integer *, doublereal *, doublereal *, integer *, integer *, char *, doublecomplex *, integer *, doublecomplex *, integer *); static doublereal ulpinv; static integer nnwork, mtypes, ntestt; static doublereal rtulpi; static doublecomplex dum[1]; static doublereal res[2]; static integer iwk; static doublereal ulp, vmx; /* Fortran I/O blocks */ static cilist io___31 = { 0, 0, 0, fmt_9993, 0 }; static cilist io___34 = { 0, 0, 0, fmt_9993, 0 }; static cilist io___42 = { 0, 0, 0, fmt_9993, 0 }; static cilist io___43 = { 0, 0, 0, fmt_9993, 0 }; static cilist io___44 = { 0, 0, 0, fmt_9993, 0 }; static cilist io___47 = { 0, 0, 0, fmt_9999, 0 }; static cilist io___48 = { 0, 0, 0, fmt_9998, 0 }; static cilist io___49 = { 0, 0, 0, fmt_9997, 0 }; static cilist io___50 = { 0, 0, 0, fmt_9996, 0 }; static cilist io___51 = { 0, 0, 0, fmt_9995, 0 }; static cilist io___52 = { 0, 0, 0, fmt_9994, 0 }; #define a_subscr(a_1,a_2) (a_2)*a_dim1 + a_1 #define a_ref(a_1,a_2) a[a_subscr(a_1,a_2)] #define vl_subscr(a_1,a_2) (a_2)*vl_dim1 + a_1 #define vl_ref(a_1,a_2) vl[vl_subscr(a_1,a_2)] #define vr_subscr(a_1,a_2) (a_2)*vr_dim1 + a_1 #define vr_ref(a_1,a_2) vr[vr_subscr(a_1,a_2)] #define lre_subscr(a_1,a_2) (a_2)*lre_dim1 + a_1 #define lre_ref(a_1,a_2) lre[lre_subscr(a_1,a_2)] /* -- LAPACK test routine (version 3.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= ZDRVEV checks the nonsymmetric eigenvalue problem driver ZGEEV. When ZDRVEV 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 nonsymmetric eigenroutines. For each matrix, 7 tests will be performed: (1) | A * VR - VR * W | / ( n |A| ulp ) Here VR is the matrix of unit right eigenvectors. W is a diagonal matrix with diagonal entries W(j). (2) | A**H * VL - VL * W**H | / ( n |A| ulp ) Here VL is the matrix of unit left eigenvectors, A**H is the conjugate-transpose of A, and W is as above. (3) | |VR(i)| - 1 | / ulp and whether largest component real VR(i) denotes the i-th column of VR. (4) | |VL(i)| - 1 | / ulp and whether largest component real VL(i) denotes the i-th column of VL. (5) W(full) = W(partial) W(full) denotes the eigenvalues computed when both VR and VL are also computed, and W(partial) denotes the eigenvalues computed when only W, only W and VR, or only W and VL are computed. (6) VR(full) = VR(partial) VR(full) denotes the right eigenvectors computed when both VR and VL are computed, and VR(partial) denotes the result when only VR is computed. (7) VL(full) = VL(partial) VL(full) denotes the left eigenvectors computed when both VR and VL are also computed, and VL(partial) denotes the result when only VL is computed. 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 (transposed) Jordan block, with 1's on the diagonal. (4) A diagonal matrix with evenly spaced entries 1, ..., ULP and random complex angles. (ULP = (first number larger than 1) - 1 ) (5) A diagonal matrix with geometrically spaced entries 1, ..., ULP and random complex angles. (6) A diagonal matrix with "clustered" entries 1, ULP, ..., ULP and random complex angles. (7) Same as (4), but multiplied by a constant near the overflow threshold (8) Same as (4), but multiplied by a constant near the underflow threshold (9) A matrix of the form U' T U, where U is unitary and T has evenly spaced entries 1, ..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (10) A matrix of the form U' T U, where U is unitary and T has geometrically spaced entries 1, ..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (11) A matrix of the form U' T U, where U is unitary and T has "clustered" entries 1, ULP,..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (12) A matrix of the form U' T U, where U is unitary and T has complex eigenvalues randomly chosen from ULP < |z| < 1 and random O(1) entries in the upper triangle. (13) A matrix of the form X' T X, where X has condition SQRT( ULP ) and T has evenly spaced entries 1, ..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (14) A matrix of the form X' T X, where X has condition SQRT( ULP ) and T has geometrically spaced entries 1, ..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (15) A matrix of the form X' T X, where X has condition SQRT( ULP ) and T has "clustered" entries 1, ULP,..., ULP with random complex angles on the diagonal and random O(1) entries in the upper triangle. (16) A matrix of the form X' T X, where X has condition SQRT( ULP ) and T has complex eigenvalues randomly chosen from ULP < |z| < 1 and random O(1) entries in the upper triangle. (17) Same as (16), but multiplied by a constant near the overflow threshold (18) Same as (16), but multiplied by a constant near the underflow threshold (19) Nonsymmetric matrix with random entries chosen from |z| < 1 If N is at least 4, all entries in first two rows and last row, and first column and last two columns are zero. (20) Same as (19), but multiplied by a constant near the overflow threshold (21) Same as (19), but multiplied by a constant near the underflow threshold Arguments ========== NSIZES (input) INTEGER The number of sizes of matrices to use. If it is zero, ZDRVEV 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, ZDRVEV 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 ZDRVEV 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 INFO not equal to 0.) A (workspace) COMPLEX*16 array, 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, and H. LDA must be at least 1 and at least max(NN). H (workspace) COMPLEX*16 array, dimension (LDA, max(NN)) Another copy of the test matrix A, modified by ZGEEV. W (workspace) COMPLEX*16 array, dimension (max(NN)) The eigenvalues of A. On exit, W are the eigenvalues of the matrix in A. W1 (workspace) COMPLEX*16 array, dimension (max(NN)) Like W, this array contains the eigenvalues of A, but those computed when ZGEEV only computes a partial eigendecomposition, i.e. not the eigenvalues and left and right eigenvectors. VL (workspace) COMPLEX*16 array, dimension (LDVL, max(NN)) VL holds the computed left eigenvectors. LDVL (input) INTEGER Leading dimension of VL. Must be at least max(1,max(NN)). VR (workspace) COMPLEX*16 array, dimension (LDVR, max(NN)) VR holds the computed right eigenvectors. LDVR (input) INTEGER Leading dimension of VR. Must be at least max(1,max(NN)). LRE (workspace) COMPLEX*16 array, dimension (LDLRE, max(NN)) LRE holds the computed right or left eigenvectors. LDLRE (input) INTEGER Leading dimension of LRE. Must be at least max(1,max(NN)). RESULT (output) DOUBLE PRECISION array, dimension (7) The values computed by the seven tests described above. The values are currently limited to 1/ulp, to avoid overflow. WORK (workspace) COMPLEX*16 array, dimension (NWORK) NWORK (input) INTEGER The number of entries in WORK. This must be at least 5*NN(j)+2*NN(j)**2 for all j. RWORK (workspace) DOUBLE PRECISION array, dimension (2*max(NN)) IWORK (workspace) INTEGER array, dimension (max(NN)) INFO (output) INTEGER If 0, then everything ran OK. -1: NSIZES < 0 -2: Some NN(j) < 0 -3: NTYPES < 0 -6: THRESH < 0 -9: LDA < 1 or LDA < NMAX, where NMAX is max( NN(j) ). -14: LDVL < 1 or LDVL < NMAX, where NMAX is max( NN(j) ). -16: LDVR < 1 or LDVR < NMAX, where NMAX is max( NN(j) ). -18: LDLRE < 1 or LDLRE < NMAX, where NMAX is max( NN(j) ). -21: NWORK too small. If ZLATMR, CLATMS, CLATME or ZGEEV 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. NMAX Largest value in NN. NERRS The number of tests which have exceeded THRESH COND, CONDS, 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. RTULP, RTULPI Square roots of the previous 4 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) ) KCONDS(j) Selectw whether CONDS is to be 1 or 1/sqrt(ulp). (0 means irrelevant.) ===================================================================== Parameter adjustments */ --nn; --dotype; --iseed; h_dim1 = *lda; h_offset = 1 + h_dim1 * 1; h__ -= h_offset; a_dim1 = *lda; a_offset = 1 + a_dim1 * 1; a -= a_offset; --w; --w1; vl_dim1 = *ldvl; vl_offset = 1 + vl_dim1 * 1; vl -= vl_offset; vr_dim1 = *ldvr; vr_offset = 1 + vr_dim1 * 1; vr -= vr_offset; lre_dim1 = *ldlre; lre_offset = 1 + lre_dim1 * 1; lre -= lre_offset; --result; --work; --rwork; --iwork; /* Function Body */ s_copy(path, "Zomplex precision", (ftnlen)1, (ftnlen)17); s_copy(path + 1, "EV", (ftnlen)2, (ftnlen)2); /* Check for errors */ ntestt = 0; ntestf = 0; *info = 0; /* Important constants */ badnn = FALSE_; nmax = 0; 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: */ } /* Check for errors */ if (*nsizes < 0) { *info = -1; } else if (badnn) { *info = -2; } else if (*ntypes < 0) { *info = -3; } else if (*thresh < 0.) { *info = -6; } else if (*nounit <= 0) { *info = -7; } else if (*lda < 1 || *lda < nmax) { *info = -9; } else if (*ldvl < 1 || *ldvl < nmax) { *info = -14; } else if (*ldvr < 1 || *ldvr < nmax) { *info = -16; } else if (*ldlre < 1 || *ldlre < nmax) { *info = -28; } else /* if(complicated condition) */ { /* Computing 2nd power */ i__1 = nmax; if (nmax * 5 + (i__1 * i__1 << 1) > *nwork) { *info = -21; } } if (*info != 0) { i__1 = -(*info); xerbla_("ZDRVEV", &i__1); return 0; } /* Quick return if nothing to do */ if (*nsizes == 0 || *ntypes == 0) { return 0; } /* More Important constants */ unfl = dlamch_("Safe minimum"); ovfl = 1. / unfl; dlabad_(&unfl, &ovfl); ulp = dlamch_("Precision"); ulpinv = 1. / ulp; rtulp = sqrt(ulp); rtulpi = 1. / rtulp; /* Loop over sizes, types */ nerrs = 0; i__1 = *nsizes; for (jsize = 1; jsize <= i__1; ++jsize) { n = nn[jsize]; 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 L260; } /* Save ISEED in case of an error. */ for (j = 1; j <= 4; ++j) { ioldsd[j - 1] = iseed[j]; /* L20: */ } /* Compute "A" Control parameters: KMAGN KCONDS KMODE KTYPE =1 O(1) 1 clustered 1 zero =2 large large clustered 2 identity =3 small exponential Jordan =4 arithmetic diagonal, (w/ eigenvalues) =5 random log symmetric, w/ eigenvalues =6 random general, w/ eigenvalues =7 random diagonal =8 random symmetric =9 random general =10 random triangular */ if (mtypes > 21) { goto L90; } itype = ktype[jtype - 1]; imode = kmode[jtype - 1]; /* Compute norm */ switch (kmagn[jtype - 1]) { case 1: goto L30; case 2: goto L40; case 3: goto L50; } L30: anorm = 1.; goto L60; L40: anorm = ovfl * ulp; goto L60; L50: anorm = unfl * ulpinv; goto L60; L60: zlaset_("Full", lda, &n, &c_b1, &c_b1, &a[a_offset], lda); iinfo = 0; cond = ulpinv; /* Special Matrices -- Identity & Jordan block Zero */ if (itype == 1) { iinfo = 0; } else if (itype == 2) { /* Identity */ i__3 = n; for (jcol = 1; jcol <= i__3; ++jcol) { i__4 = a_subscr(jcol, jcol); z__1.r = anorm, z__1.i = 0.; a[i__4].r = z__1.r, a[i__4].i = z__1.i; /* L70: */ } } else if (itype == 3) { /* Jordan Block */ i__3 = n; for (jcol = 1; jcol <= i__3; ++jcol) { i__4 = a_subscr(jcol, jcol); z__1.r = anorm, z__1.i = 0.; a[i__4].r = z__1.r, a[i__4].i = z__1.i; if (jcol > 1) { i__4 = a_subscr(jcol, jcol - 1); a[i__4].r = 1., a[i__4].i = 0.; } /* L80: */ } } else if (itype == 4) { /* Diagonal Matrix, [Eigen]values Specified */ zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &c__0, &c__0, "N", &a[a_offset], lda, &work[ n + 1], &iinfo); } else if (itype == 5) { /* Hermitian, eigenvalues specified */ zlatms_(&n, &n, "S", &iseed[1], "H", &rwork[1], &imode, &cond, &anorm, &n, &n, "N", &a[a_offset], lda, &work[n + 1], &iinfo); } else if (itype == 6) { /* General, eigenvalues specified */ if (kconds[jtype - 1] == 1) { conds = 1.; } else if (kconds[jtype - 1] == 2) { conds = rtulpi; } else { conds = 0.; } zlatme_(&n, "D", &iseed[1], &work[1], &imode, &cond, &c_b2, " ", "T", "T", "T", &rwork[1], &c__4, &conds, &n, &n, &anorm, &a[a_offset], lda, &work[(n << 1) + 1], & iinfo); } else if (itype == 7) { /* Diagonal, random eigenvalues */ zlatmr_(&n, &n, "D", &iseed[1], "N", &work[1], &c__6, &c_b38, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b38, &work[( n << 1) + 1], &c__1, &c_b38, "N", idumma, &c__0, & c__0, &c_b48, &anorm, "NO", &a[a_offset], lda, &iwork[ 1], &iinfo); } else if (itype == 8) { /* Symmetric, random eigenvalues */ zlatmr_(&n, &n, "D", &iseed[1], "H", &work[1], &c__6, &c_b38, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b38, &work[( n << 1) + 1], &c__1, &c_b38, "N", idumma, &n, &n, & c_b48, &anorm, "NO", &a[a_offset], lda, &iwork[1], & iinfo); } else if (itype == 9) { /* General, random eigenvalues */ zlatmr_(&n, &n, "D", &iseed[1], "N", &work[1], &c__6, &c_b38, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b38, &work[( n << 1) + 1], &c__1, &c_b38, "N", idumma, &n, &n, & c_b48, &anorm, "NO", &a[a_offset], lda, &iwork[1], & iinfo); if (n >= 4) { zlaset_("Full", &c__2, &n, &c_b1, &c_b1, &a[a_offset], lda); i__3 = n - 3; zlaset_("Full", &i__3, &c__1, &c_b1, &c_b1, &a_ref(3, 1), lda); i__3 = n - 3; zlaset_("Full", &i__3, &c__2, &c_b1, &c_b1, &a_ref(3, n - 1), lda); zlaset_("Full", &c__1, &n, &c_b1, &c_b1, &a_ref(n, 1), lda); } } else if (itype == 10) { /* Triangular, random eigenvalues */ zlatmr_(&n, &n, "D", &iseed[1], "N", &work[1], &c__6, &c_b38, &c_b2, "T", "N", &work[n + 1], &c__1, &c_b38, &work[( n << 1) + 1], &c__1, &c_b38, "N", idumma, &n, &c__0, & c_b48, &anorm, "NO", &a[a_offset], lda, &iwork[1], & iinfo); } else { iinfo = 1; } if (iinfo != 0) { io___31.ciunit = *nounit; s_wsfe(&io___31); 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; } L90: /* Test for minimal and generous workspace */ for (iwk = 1; iwk <= 2; ++iwk) { if (iwk == 1) { nnwork = n << 1; } else { /* Computing 2nd power */ i__3 = n; nnwork = n * 5 + (i__3 * i__3 << 1); } nnwork = max(nnwork,1); /* Initialize RESULT */ for (j = 1; j <= 7; ++j) { result[j] = -1.; /* L100: */ } /* Compute eigenvalues and eigenvectors, and test them */ zlacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda); zgeev_("V", "V", &n, &h__[h_offset], lda, &w[1], &vl[ vl_offset], ldvl, &vr[vr_offset], ldvr, &work[1], & nnwork, &rwork[1], &iinfo); if (iinfo != 0) { result[1] = ulpinv; io___34.ciunit = *nounit; s_wsfe(&io___34); do_fio(&c__1, "ZGEEV1", (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); goto L220; } /* Do Test (1) */ zget22_("N", "N", "N", &n, &a[a_offset], lda, &vr[vr_offset], ldvr, &w[1], &work[1], &rwork[1], res); result[1] = res[0]; /* Do Test (2) */ zget22_("C", "N", "C", &n, &a[a_offset], lda, &vl[vl_offset], ldvl, &w[1], &work[1], &rwork[1], res); result[2] = res[0]; /* Do Test (3) */ i__3 = n; for (j = 1; j <= i__3; ++j) { tnrm = dznrm2_(&n, &vr_ref(1, j), &c__1); /* Computing MAX Computing MIN */ d__4 = ulpinv, d__5 = (d__1 = tnrm - 1., abs(d__1)) / ulp; d__2 = result[3], d__3 = min(d__4,d__5); result[3] = max(d__2,d__3); vmx = 0.; vrmx = 0.; i__4 = n; for (jj = 1; jj <= i__4; ++jj) { vtst = z_abs(&vr_ref(jj, j)); if (vtst > vmx) { vmx = vtst; } i__5 = vr_subscr(jj, j); if (d_imag(&vr_ref(jj, j)) == 0. && (d__1 = vr[i__5] .r, abs(d__1)) > vrmx) { i__6 = vr_subscr(jj, j); vrmx = (d__2 = vr[i__6].r, abs(d__2)); } /* L110: */ } if (vrmx / vmx < 1. - ulp * 2.) { result[3] = ulpinv; } /* L120: */ } /* Do Test (4) */ i__3 = n; for (j = 1; j <= i__3; ++j) { tnrm = dznrm2_(&n, &vl_ref(1, j), &c__1); /* Computing MAX Computing MIN */ d__4 = ulpinv, d__5 = (d__1 = tnrm - 1., abs(d__1)) / ulp; d__2 = result[4], d__3 = min(d__4,d__5); result[4] = max(d__2,d__3); vmx = 0.; vrmx = 0.; i__4 = n; for (jj = 1; jj <= i__4; ++jj) { vtst = z_abs(&vl_ref(jj, j)); if (vtst > vmx) { vmx = vtst; } i__5 = vl_subscr(jj, j); if (d_imag(&vl_ref(jj, j)) == 0. && (d__1 = vl[i__5] .r, abs(d__1)) > vrmx) { i__6 = vl_subscr(jj, j); vrmx = (d__2 = vl[i__6].r, abs(d__2)); } /* L130: */ } if (vrmx / vmx < 1. - ulp * 2.) { result[4] = ulpinv; } /* L140: */ } /* Compute eigenvalues only, and test them */ zlacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda); zgeev_("N", "N", &n, &h__[h_offset], lda, &w1[1], dum, &c__1, dum, &c__1, &work[1], &nnwork, &rwork[1], &iinfo); if (iinfo != 0) { result[1] = ulpinv; io___42.ciunit = *nounit; s_wsfe(&io___42); do_fio(&c__1, "ZGEEV2", (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); goto L220; } /* Do Test (5) */ i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; i__5 = j; if (w[i__4].r != w1[i__5].r || w[i__4].i != w1[i__5].i) { result[5] = ulpinv; } /* L150: */ } /* Compute eigenvalues and right eigenvectors, and test them */ zlacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda); zgeev_("N", "V", &n, &h__[h_offset], lda, &w1[1], dum, &c__1, &lre[lre_offset], ldlre, &work[1], &nnwork, &rwork[1], &iinfo); if (iinfo != 0) { result[1] = ulpinv; io___43.ciunit = *nounit; s_wsfe(&io___43); do_fio(&c__1, "ZGEEV3", (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); goto L220; } /* Do Test (5) again */ i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; i__5 = j; if (w[i__4].r != w1[i__5].r || w[i__4].i != w1[i__5].i) { result[5] = ulpinv; } /* L160: */ } /* Do Test (6) */ i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (jj = 1; jj <= i__4; ++jj) { i__5 = vr_subscr(j, jj); i__6 = lre_subscr(j, jj); if (vr[i__5].r != lre[i__6].r || vr[i__5].i != lre[ i__6].i) { result[6] = ulpinv; } /* L170: */ } /* L180: */ } /* Compute eigenvalues and left eigenvectors, and test them */ zlacpy_("F", &n, &n, &a[a_offset], lda, &h__[h_offset], lda); zgeev_("V", "N", &n, &h__[h_offset], lda, &w1[1], &lre[ lre_offset], ldlre, dum, &c__1, &work[1], &nnwork, & rwork[1], &iinfo); if (iinfo != 0) { result[1] = ulpinv; io___44.ciunit = *nounit; s_wsfe(&io___44); do_fio(&c__1, "ZGEEV4", (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); goto L220; } /* Do Test (5) again */ i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = j; i__5 = j; if (w[i__4].r != w1[i__5].r || w[i__4].i != w1[i__5].i) { result[5] = ulpinv; } /* L190: */ } /* Do Test (7) */ i__3 = n; for (j = 1; j <= i__3; ++j) { i__4 = n; for (jj = 1; jj <= i__4; ++jj) { i__5 = vl_subscr(j, jj); i__6 = lre_subscr(j, jj); if (vl[i__5].r != lre[i__6].r || vl[i__5].i != lre[ i__6].i) { result[7] = ulpinv; } /* L200: */ } /* L210: */ } /* End of Loop -- Check for RESULT(j) > THRESH */ L220: ntest = 0; nfail = 0; for (j = 1; j <= 7; ++j) { if (result[j] >= 0.) { ++ntest; } if (result[j] >= *thresh) { ++nfail; } /* L230: */ } if (nfail > 0) { ++ntestf; } if (ntestf == 1) { io___47.ciunit = *nounit; s_wsfe(&io___47); do_fio(&c__1, path, (ftnlen)3); e_wsfe(); io___48.ciunit = *nounit; s_wsfe(&io___48); e_wsfe(); io___49.ciunit = *nounit; s_wsfe(&io___49); e_wsfe(); io___50.ciunit = *nounit; s_wsfe(&io___50); e_wsfe(); io___51.ciunit = *nounit; s_wsfe(&io___51); do_fio(&c__1, (char *)&(*thresh), (ftnlen)sizeof( doublereal)); e_wsfe(); ntestf = 2; } for (j = 1; j <= 7; ++j) { if (result[j] >= *thresh) { io___52.ciunit = *nounit; s_wsfe(&io___52); do_fio(&c__1, (char *)&n, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&iwk, (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 *)&j, (ftnlen)sizeof(integer)); do_fio(&c__1, (char *)&result[j], (ftnlen)sizeof( doublereal)); e_wsfe(); } /* L240: */ } nerrs += nfail; ntestt += ntest; /* L250: */ } L260: ; } /* L270: */ } /* Summary */ dlasum_(path, nounit, &nerrs, &ntestt); return 0; /* End of ZDRVEV */ } /* zdrvev_ */ #undef lre_ref #undef lre_subscr #undef vr_ref #undef vr_subscr #undef vl_ref #undef vl_subscr #undef a_ref #undef a_subscr