00001 /* zunmhr.f -- translated by f2c (version 20061008). 00002 You must link the resulting object file with libf2c: 00003 on Microsoft Windows system, link with libf2c.lib; 00004 on Linux or Unix systems, link with .../path/to/libf2c.a -lm 00005 or, if you install libf2c.a in a standard place, with -lf2c -lm 00006 -- in that order, at the end of the command line, as in 00007 cc *.o -lf2c -lm 00008 Source for libf2c is in /netlib/f2c/libf2c.zip, e.g., 00009 00010 http://www.netlib.org/f2c/libf2c.zip 00011 */ 00012 00013 #include "f2c.h" 00014 #include "blaswrap.h" 00015 00016 /* Table of constant values */ 00017 00018 static integer c__1 = 1; 00019 static integer c_n1 = -1; 00020 static integer c__2 = 2; 00021 00022 /* Subroutine */ int zunmhr_(char *side, char *trans, integer *m, integer *n, 00023 integer *ilo, integer *ihi, doublecomplex *a, integer *lda, 00024 doublecomplex *tau, doublecomplex *c__, integer *ldc, doublecomplex * 00025 work, integer *lwork, integer *info) 00026 { 00027 /* System generated locals */ 00028 address a__1[2]; 00029 integer a_dim1, a_offset, c_dim1, c_offset, i__1[2], i__2; 00030 char ch__1[2]; 00031 00032 /* Builtin functions */ 00033 /* Subroutine */ int s_cat(char *, char **, integer *, integer *, ftnlen); 00034 00035 /* Local variables */ 00036 integer i1, i2, nb, mi, nh, ni, nq, nw; 00037 logical left; 00038 extern logical lsame_(char *, char *); 00039 integer iinfo; 00040 extern /* Subroutine */ int xerbla_(char *, integer *); 00041 extern integer ilaenv_(integer *, char *, char *, integer *, integer *, 00042 integer *, integer *); 00043 integer lwkopt; 00044 logical lquery; 00045 extern /* Subroutine */ int zunmqr_(char *, char *, integer *, integer *, 00046 integer *, doublecomplex *, integer *, doublecomplex *, 00047 doublecomplex *, integer *, doublecomplex *, integer *, integer *); 00048 00049 00050 /* -- LAPACK routine (version 3.2) -- */ 00051 /* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ 00052 /* November 2006 */ 00053 00054 /* .. Scalar Arguments .. */ 00055 /* .. */ 00056 /* .. Array Arguments .. */ 00057 /* .. */ 00058 00059 /* Purpose */ 00060 /* ======= */ 00061 00062 /* ZUNMHR overwrites the general complex M-by-N matrix C with */ 00063 00064 /* SIDE = 'L' SIDE = 'R' */ 00065 /* TRANS = 'N': Q * C C * Q */ 00066 /* TRANS = 'C': Q**H * C C * Q**H */ 00067 00068 /* where Q is a complex unitary matrix of order nq, with nq = m if */ 00069 /* SIDE = 'L' and nq = n if SIDE = 'R'. Q is defined as the product of */ 00070 /* IHI-ILO elementary reflectors, as returned by ZGEHRD: */ 00071 00072 /* Q = H(ilo) H(ilo+1) . . . H(ihi-1). */ 00073 00074 /* Arguments */ 00075 /* ========= */ 00076 00077 /* SIDE (input) CHARACTER*1 */ 00078 /* = 'L': apply Q or Q**H from the Left; */ 00079 /* = 'R': apply Q or Q**H from the Right. */ 00080 00081 /* TRANS (input) CHARACTER*1 */ 00082 /* = 'N': apply Q (No transpose) */ 00083 /* = 'C': apply Q**H (Conjugate transpose) */ 00084 00085 /* M (input) INTEGER */ 00086 /* The number of rows of the matrix C. M >= 0. */ 00087 00088 /* N (input) INTEGER */ 00089 /* The number of columns of the matrix C. N >= 0. */ 00090 00091 /* ILO (input) INTEGER */ 00092 /* IHI (input) INTEGER */ 00093 /* ILO and IHI must have the same values as in the previous call */ 00094 /* of ZGEHRD. Q is equal to the unit matrix except in the */ 00095 /* submatrix Q(ilo+1:ihi,ilo+1:ihi). */ 00096 /* If SIDE = 'L', then 1 <= ILO <= IHI <= M, if M > 0, and */ 00097 /* ILO = 1 and IHI = 0, if M = 0; */ 00098 /* if SIDE = 'R', then 1 <= ILO <= IHI <= N, if N > 0, and */ 00099 /* ILO = 1 and IHI = 0, if N = 0. */ 00100 00101 /* A (input) COMPLEX*16 array, dimension */ 00102 /* (LDA,M) if SIDE = 'L' */ 00103 /* (LDA,N) if SIDE = 'R' */ 00104 /* The vectors which define the elementary reflectors, as */ 00105 /* returned by ZGEHRD. */ 00106 00107 /* LDA (input) INTEGER */ 00108 /* The leading dimension of the array A. */ 00109 /* LDA >= max(1,M) if SIDE = 'L'; LDA >= max(1,N) if SIDE = 'R'. */ 00110 00111 /* TAU (input) COMPLEX*16 array, dimension */ 00112 /* (M-1) if SIDE = 'L' */ 00113 /* (N-1) if SIDE = 'R' */ 00114 /* TAU(i) must contain the scalar factor of the elementary */ 00115 /* reflector H(i), as returned by ZGEHRD. */ 00116 00117 /* C (input/output) COMPLEX*16 array, dimension (LDC,N) */ 00118 /* On entry, the M-by-N matrix C. */ 00119 /* On exit, C is overwritten by Q*C or Q**H*C or C*Q**H or C*Q. */ 00120 00121 /* LDC (input) INTEGER */ 00122 /* The leading dimension of the array C. LDC >= max(1,M). */ 00123 00124 /* WORK (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK)) */ 00125 /* On exit, if INFO = 0, WORK(1) returns the optimal LWORK. */ 00126 00127 /* LWORK (input) INTEGER */ 00128 /* The dimension of the array WORK. */ 00129 /* If SIDE = 'L', LWORK >= max(1,N); */ 00130 /* if SIDE = 'R', LWORK >= max(1,M). */ 00131 /* For optimum performance LWORK >= N*NB if SIDE = 'L', and */ 00132 /* LWORK >= M*NB if SIDE = 'R', where NB is the optimal */ 00133 /* blocksize. */ 00134 00135 /* If LWORK = -1, then a workspace query is assumed; the routine */ 00136 /* only calculates the optimal size of the WORK array, returns */ 00137 /* this value as the first entry of the WORK array, and no error */ 00138 /* message related to LWORK is issued by XERBLA. */ 00139 00140 /* INFO (output) INTEGER */ 00141 /* = 0: successful exit */ 00142 /* < 0: if INFO = -i, the i-th argument had an illegal value */ 00143 00144 /* ===================================================================== */ 00145 00146 /* .. Local Scalars .. */ 00147 /* .. */ 00148 /* .. External Functions .. */ 00149 /* .. */ 00150 /* .. External Subroutines .. */ 00151 /* .. */ 00152 /* .. Intrinsic Functions .. */ 00153 /* .. */ 00154 /* .. Executable Statements .. */ 00155 00156 /* Test the input arguments */ 00157 00158 /* Parameter adjustments */ 00159 a_dim1 = *lda; 00160 a_offset = 1 + a_dim1; 00161 a -= a_offset; 00162 --tau; 00163 c_dim1 = *ldc; 00164 c_offset = 1 + c_dim1; 00165 c__ -= c_offset; 00166 --work; 00167 00168 /* Function Body */ 00169 *info = 0; 00170 nh = *ihi - *ilo; 00171 left = lsame_(side, "L"); 00172 lquery = *lwork == -1; 00173 00174 /* NQ is the order of Q and NW is the minimum dimension of WORK */ 00175 00176 if (left) { 00177 nq = *m; 00178 nw = *n; 00179 } else { 00180 nq = *n; 00181 nw = *m; 00182 } 00183 if (! left && ! lsame_(side, "R")) { 00184 *info = -1; 00185 } else if (! lsame_(trans, "N") && ! lsame_(trans, 00186 "C")) { 00187 *info = -2; 00188 } else if (*m < 0) { 00189 *info = -3; 00190 } else if (*n < 0) { 00191 *info = -4; 00192 } else if (*ilo < 1 || *ilo > max(1,nq)) { 00193 *info = -5; 00194 } else if (*ihi < min(*ilo,nq) || *ihi > nq) { 00195 *info = -6; 00196 } else if (*lda < max(1,nq)) { 00197 *info = -8; 00198 } else if (*ldc < max(1,*m)) { 00199 *info = -11; 00200 } else if (*lwork < max(1,nw) && ! lquery) { 00201 *info = -13; 00202 } 00203 00204 if (*info == 0) { 00205 if (left) { 00206 /* Writing concatenation */ 00207 i__1[0] = 1, a__1[0] = side; 00208 i__1[1] = 1, a__1[1] = trans; 00209 s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); 00210 nb = ilaenv_(&c__1, "ZUNMQR", ch__1, &nh, n, &nh, &c_n1); 00211 } else { 00212 /* Writing concatenation */ 00213 i__1[0] = 1, a__1[0] = side; 00214 i__1[1] = 1, a__1[1] = trans; 00215 s_cat(ch__1, a__1, i__1, &c__2, (ftnlen)2); 00216 nb = ilaenv_(&c__1, "ZUNMQR", ch__1, m, &nh, &nh, &c_n1); 00217 } 00218 lwkopt = max(1,nw) * nb; 00219 work[1].r = (doublereal) lwkopt, work[1].i = 0.; 00220 } 00221 00222 if (*info != 0) { 00223 i__2 = -(*info); 00224 xerbla_("ZUNMHR", &i__2); 00225 return 0; 00226 } else if (lquery) { 00227 return 0; 00228 } 00229 00230 /* Quick return if possible */ 00231 00232 if (*m == 0 || *n == 0 || nh == 0) { 00233 work[1].r = 1., work[1].i = 0.; 00234 return 0; 00235 } 00236 00237 if (left) { 00238 mi = nh; 00239 ni = *n; 00240 i1 = *ilo + 1; 00241 i2 = 1; 00242 } else { 00243 mi = *m; 00244 ni = nh; 00245 i1 = 1; 00246 i2 = *ilo + 1; 00247 } 00248 00249 zunmqr_(side, trans, &mi, &ni, &nh, &a[*ilo + 1 + *ilo * a_dim1], lda, & 00250 tau[*ilo], &c__[i1 + i2 * c_dim1], ldc, &work[1], lwork, &iinfo); 00251 00252 work[1].r = (doublereal) lwkopt, work[1].i = 0.; 00253 return 0; 00254 00255 /* End of ZUNMHR */ 00256 00257 } /* zunmhr_ */