/* -- translated by f2c (version 19940927). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* Subroutine */ int dlatm1_(integer *mode, doublereal *cond, integer *irsign, integer *idist, integer *iseed, doublereal *d, integer *n, integer * info) { /* System generated locals */ integer i__1, i__2; doublereal d__1; /* Builtin functions */ double pow_dd(doublereal *, doublereal *), pow_di(doublereal *, integer *) , log(doublereal), exp(doublereal); /* Local variables */ static doublereal temp; static integer i; static doublereal alpha; extern doublereal dlaran_(integer *); extern /* Subroutine */ int xerbla_(char *, integer *), dlarnv_( integer *, integer *, integer *, doublereal *); /* -- LAPACK auxiliary test routine (version 2.0) -- Univ. of Tennessee, Univ. of California Berkeley, NAG Ltd., Courant Institute, Argonne National Lab, and Rice University September 30, 1994 Purpose ======= DLATM1 computes the entries of D(1..N) as specified by MODE, COND and IRSIGN. IDIST and ISEED determine the generation of random numbers. DLATM1 is called by SLATMR to generate random test matrices for LAPACK programs. Arguments ========= MODE - INTEGER On entry describes how D is to be computed: MODE = 0 means do not change D. MODE = 1 sets D(1)=1 and D(2:N)=1.0/COND MODE = 2 sets D(1:N-1)=1 and D(N)=1.0/COND MODE = 3 sets D(I)=COND**(-(I-1)/(N-1)) MODE = 4 sets D(i)=1 - (i-1)/(N-1)*(1 - 1/COND) MODE = 5 sets D to random numbers in the range ( 1/COND , 1 ) such that their logarithms are uniformly distributed. MODE = 6 set D to random numbers from same distribution as the rest of the matrix. MODE < 0 has the same meaning as ABS(MODE), except that the order of the elements of D is reversed. Thus if MODE is positive, D has entries ranging from 1 to 1/COND, if negative, from 1/COND to 1, Not modified. COND - DOUBLE PRECISION On entry, used as described under MODE above. If used, it must be >= 1. Not modified. IRSIGN - INTEGER On entry, if MODE neither -6, 0 nor 6, determines sign of entries of D 0 => leave entries of D unchanged 1 => multiply each entry of D by 1 or -1 with probability .5 IDIST - CHARACTER*1 On entry, IDIST specifies the type of distribution to be used to generate a random matrix . 1 => UNIFORM( 0, 1 ) 2 => UNIFORM( -1, 1 ) 3 => NORMAL( 0, 1 ) Not modified. ISEED - INTEGER array, dimension ( 4 ) On entry ISEED specifies the seed of the random number generator. 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 DLATM1 to continue the same random number sequence. Changed on exit. D - DOUBLE PRECISION array, dimension ( MIN( M , N ) ) Array to be computed according to MODE, COND and IRSIGN. May be changed on exit if MODE is nonzero. N - INTEGER Number of entries of D. Not modified. INFO - INTEGER 0 => normal termination -1 => if MODE not in range -6 to 6 -2 => if MODE neither -6, 0 nor 6, and IRSIGN neither 0 nor 1 -3 => if MODE neither -6, 0 nor 6 and COND less than 1 -4 => if MODE equals 6 or -6 and IDIST not in range 1 to 3 -7 => if N negative ===================================================================== Decode and Test the input parameters. Initialize flags & seed. Parameter adjustments */ --d; --iseed; /* Function Body */ *info = 0; /* Quick return if possible */ if (*n == 0) { return 0; } /* Set INFO if an error */ if (*mode < -6 || *mode > 6) { *info = -1; } else if (*mode != -6 && *mode != 0 && *mode != 6 && (*irsign != 0 && * irsign != 1)) { *info = -2; } else if (*mode != -6 && *mode != 0 && *mode != 6 && *cond < 1.) { *info = -3; } else if ((*mode == 6 || *mode == -6) && (*idist < 1 || *idist > 3)) { *info = -4; } else if (*n < 0) { *info = -7; } if (*info != 0) { i__1 = -(*info); xerbla_("DLATM1", &i__1); return 0; } /* Compute D according to COND and MODE */ if (*mode != 0) { switch (abs(*mode)) { case 1: goto L10; case 2: goto L30; case 3: goto L50; case 4: goto L70; case 5: goto L90; case 6: goto L110; } /* One large D value: */ L10: i__1 = *n; for (i = 1; i <= i__1; ++i) { d[i] = 1. / *cond; /* L20: */ } d[1] = 1.; goto L120; /* One small D value: */ L30: i__1 = *n; for (i = 1; i <= i__1; ++i) { d[i] = 1.; /* L40: */ } d[*n] = 1. / *cond; goto L120; /* Exponentially distributed D values: */ L50: d[1] = 1.; if (*n > 1) { d__1 = -1. / (doublereal) (*n - 1); alpha = pow_dd(cond, &d__1); i__1 = *n; for (i = 2; i <= i__1; ++i) { i__2 = i - 1; d[i] = pow_di(&alpha, &i__2); /* L60: */ } } goto L120; /* Arithmetically distributed D values: */ L70: d[1] = 1.; if (*n > 1) { temp = 1. / *cond; alpha = (1. - temp) / (doublereal) (*n - 1); i__1 = *n; for (i = 2; i <= i__1; ++i) { d[i] = (doublereal) (*n - i) * alpha + temp; /* L80: */ } } goto L120; /* Randomly distributed D values on ( 1/COND , 1): */ L90: alpha = log(1. / *cond); i__1 = *n; for (i = 1; i <= i__1; ++i) { d[i] = exp(alpha * dlaran_(&iseed[1])); /* L100: */ } goto L120; /* Randomly distributed D values from IDIST */ L110: dlarnv_(idist, &iseed[1], n, &d[1]); L120: /* If MODE neither -6 nor 0 nor 6, and IRSIGN = 1, assign random signs to D */ if (*mode != -6 && *mode != 0 && *mode != 6 && *irsign == 1) { i__1 = *n; for (i = 1; i <= i__1; ++i) { temp = dlaran_(&iseed[1]); if (temp > .5) { d[i] = -d[i]; } /* L130: */ } } /* Reverse if MODE < 0 */ if (*mode < 0) { i__1 = *n / 2; for (i = 1; i <= i__1; ++i) { temp = d[i]; d[i] = d[*n + 1 - i]; d[*n + 1 - i] = temp; /* L140: */ } } } return 0; /* End of DLATM1 */ } /* dlatm1_ */