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authorshmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
committershmel1k <shmel1k@ydb.tech>2022-09-02 12:44:59 +0300
commit90d450f74722da7859d6f510a869f6c6908fd12f (patch)
tree538c718dedc76cdfe37ad6d01ff250dd930d9278 /contrib/libs/clapack/ztrttf.c
parent01f64c1ecd0d4ffa9e3a74478335f1745f26cc75 (diff)
downloadydb-90d450f74722da7859d6f510a869f6c6908fd12f.tar.gz
[] add metering mode to CLI
Diffstat (limited to 'contrib/libs/clapack/ztrttf.c')
-rw-r--r--contrib/libs/clapack/ztrttf.c580
1 files changed, 580 insertions, 0 deletions
diff --git a/contrib/libs/clapack/ztrttf.c b/contrib/libs/clapack/ztrttf.c
new file mode 100644
index 0000000000..b15f625040
--- /dev/null
+++ b/contrib/libs/clapack/ztrttf.c
@@ -0,0 +1,580 @@
+/* ztrttf.f -- translated by f2c (version 20061008).
+ You must link the resulting object file with libf2c:
+ on Microsoft Windows system, link with libf2c.lib;
+ on Linux or Unix systems, link with .../path/to/libf2c.a -lm
+ or, if you install libf2c.a in a standard place, with -lf2c -lm
+ -- in that order, at the end of the command line, as in
+ cc *.o -lf2c -lm
+ Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
+
+ http://www.netlib.org/f2c/libf2c.zip
+*/
+
+#include "f2c.h"
+#include "blaswrap.h"
+
+/* Subroutine */ int ztrttf_(char *transr, char *uplo, integer *n,
+ doublecomplex *a, integer *lda, doublecomplex *arf, integer *info)
+{
+ /* System generated locals */
+ integer a_dim1, a_offset, i__1, i__2, i__3, i__4;
+ doublecomplex z__1;
+
+ /* Builtin functions */
+ void d_cnjg(doublecomplex *, doublecomplex *);
+
+ /* Local variables */
+ integer i__, j, k, l, n1, n2, ij, nt, nx2, np1x2;
+ logical normaltransr;
+ extern logical lsame_(char *, char *);
+ logical lower;
+ extern /* Subroutine */ int xerbla_(char *, integer *);
+ logical nisodd;
+
+
+/* -- LAPACK routine (version 3.2) -- */
+
+/* -- Contributed by Fred Gustavson of the IBM Watson Research Center -- */
+/* -- November 2008 -- */
+
+/* -- LAPACK is a software package provided by Univ. of Tennessee, -- */
+/* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */
+
+/* .. Scalar Arguments .. */
+/* .. */
+/* .. Array Arguments .. */
+/* .. */
+
+/* Purpose */
+/* ======= */
+
+/* ZTRTTF copies a triangular matrix A from standard full format (TR) */
+/* to rectangular full packed format (TF) . */
+
+/* Arguments */
+/* ========= */
+
+/* TRANSR (input) CHARACTER */
+/* = 'N': ARF in Normal mode is wanted; */
+/* = 'C': ARF in Conjugate Transpose mode is wanted; */
+
+/* UPLO (input) CHARACTER */
+/* = 'U': A is upper triangular; */
+/* = 'L': A is lower triangular. */
+
+/* N (input) INTEGER */
+/* The order of the matrix A. N >= 0. */
+
+/* A (input) COMPLEX*16 array, dimension ( LDA, N ) */
+/* On entry, the triangular matrix A. If UPLO = 'U', the */
+/* leading N-by-N upper triangular part of the array A contains */
+/* the upper triangular matrix, and the strictly lower */
+/* triangular part of A is not referenced. If UPLO = 'L', the */
+/* leading N-by-N lower triangular part of the array A contains */
+/* the lower triangular matrix, and the strictly upper */
+/* triangular part of A is not referenced. */
+
+/* LDA (input) INTEGER */
+/* The leading dimension of the matrix A. LDA >= max(1,N). */
+
+/* ARF (output) COMPLEX*16 array, dimension ( N*(N+1)/2 ), */
+/* On exit, the upper or lower triangular matrix A stored in */
+/* RFP format. For a further discussion see Notes below. */
+
+/* INFO (output) INTEGER */
+/* = 0: successful exit */
+/* < 0: if INFO = -i, the i-th argument had an illegal value */
+
+/* Notes */
+/* ===== */
+
+/* We first consider Standard Packed Format when N is even. */
+/* We give an example where N = 6. */
+
+/* AP is Upper AP is Lower */
+
+/* 00 01 02 03 04 05 00 */
+/* 11 12 13 14 15 10 11 */
+/* 22 23 24 25 20 21 22 */
+/* 33 34 35 30 31 32 33 */
+/* 44 45 40 41 42 43 44 */
+/* 55 50 51 52 53 54 55 */
+
+
+/* Let TRANSR = `N'. RFP holds AP as follows: */
+/* For UPLO = `U' the upper trapezoid A(0:5,0:2) consists of the last */
+/* three columns of AP upper. The lower triangle A(4:6,0:2) consists of */
+/* conjugate-transpose of the first three columns of AP upper. */
+/* For UPLO = `L' the lower trapezoid A(1:6,0:2) consists of the first */
+/* three columns of AP lower. The upper triangle A(0:2,0:2) consists of */
+/* conjugate-transpose of the last three columns of AP lower. */
+/* To denote conjugate we place -- above the element. This covers the */
+/* case N even and TRANSR = `N'. */
+
+/* RFP A RFP A */
+
+/* -- -- -- */
+/* 03 04 05 33 43 53 */
+/* -- -- */
+/* 13 14 15 00 44 54 */
+/* -- */
+/* 23 24 25 10 11 55 */
+
+/* 33 34 35 20 21 22 */
+/* -- */
+/* 00 44 45 30 31 32 */
+/* -- -- */
+/* 01 11 55 40 41 42 */
+/* -- -- -- */
+/* 02 12 22 50 51 52 */
+
+/* Now let TRANSR = `C'. RFP A in both UPLO cases is just the conjugate- */
+/* transpose of RFP A above. One therefore gets: */
+
+
+/* RFP A RFP A */
+
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 03 13 23 33 00 01 02 33 00 10 20 30 40 50 */
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 04 14 24 34 44 11 12 43 44 11 21 31 41 51 */
+/* -- -- -- -- -- -- -- -- -- -- */
+/* 05 15 25 35 45 55 22 53 54 55 22 32 42 52 */
+
+
+/* We next consider Standard Packed Format when N is odd. */
+/* We give an example where N = 5. */
+
+/* AP is Upper AP is Lower */
+
+/* 00 01 02 03 04 00 */
+/* 11 12 13 14 10 11 */
+/* 22 23 24 20 21 22 */
+/* 33 34 30 31 32 33 */
+/* 44 40 41 42 43 44 */
+
+
+/* Let TRANSR = `N'. RFP holds AP as follows: */
+/* For UPLO = `U' the upper trapezoid A(0:4,0:2) consists of the last */
+/* three columns of AP upper. The lower triangle A(3:4,0:1) consists of */
+/* conjugate-transpose of the first two columns of AP upper. */
+/* For UPLO = `L' the lower trapezoid A(0:4,0:2) consists of the first */
+/* three columns of AP lower. The upper triangle A(0:1,1:2) consists of */
+/* conjugate-transpose of the last two columns of AP lower. */
+/* To denote conjugate we place -- above the element. This covers the */
+/* case N odd and TRANSR = `N'. */
+
+/* RFP A RFP A */
+
+/* -- -- */
+/* 02 03 04 00 33 43 */
+/* -- */
+/* 12 13 14 10 11 44 */
+
+/* 22 23 24 20 21 22 */
+/* -- */
+/* 00 33 34 30 31 32 */
+/* -- -- */
+/* 01 11 44 40 41 42 */
+
+/* Now let TRANSR = `C'. RFP A in both UPLO cases is just the conjugate- */
+/* transpose of RFP A above. One therefore gets: */
+
+
+/* RFP A RFP A */
+
+/* -- -- -- -- -- -- -- -- -- */
+/* 02 12 22 00 01 00 10 20 30 40 50 */
+/* -- -- -- -- -- -- -- -- -- */
+/* 03 13 23 33 11 33 11 21 31 41 51 */
+/* -- -- -- -- -- -- -- -- -- */
+/* 04 14 24 34 44 43 44 22 32 42 52 */
+
+/* ===================================================================== */
+
+/* .. Parameters .. */
+/* .. */
+/* .. Local Scalars .. */
+/* .. */
+/* .. External Functions .. */
+/* .. */
+/* .. External Subroutines .. */
+/* .. */
+/* .. Intrinsic Functions .. */
+/* .. */
+/* .. Executable Statements .. */
+
+/* Test the input parameters. */
+
+ /* Parameter adjustments */
+ a_dim1 = *lda - 1 - 0 + 1;
+ a_offset = 0 + a_dim1 * 0;
+ a -= a_offset;
+
+ /* Function Body */
+ *info = 0;
+ normaltransr = lsame_(transr, "N");
+ lower = lsame_(uplo, "L");
+ if (! normaltransr && ! lsame_(transr, "C")) {
+ *info = -1;
+ } else if (! lower && ! lsame_(uplo, "U")) {
+ *info = -2;
+ } else if (*n < 0) {
+ *info = -3;
+ } else if (*lda < max(1,*n)) {
+ *info = -5;
+ }
+ if (*info != 0) {
+ i__1 = -(*info);
+ xerbla_("ZTRTTF", &i__1);
+ return 0;
+ }
+
+/* Quick return if possible */
+
+ if (*n <= 1) {
+ if (*n == 1) {
+ if (normaltransr) {
+ arf[0].r = a[0].r, arf[0].i = a[0].i;
+ } else {
+ d_cnjg(&z__1, a);
+ arf[0].r = z__1.r, arf[0].i = z__1.i;
+ }
+ }
+ return 0;
+ }
+
+/* Size of array ARF(1:2,0:nt-1) */
+
+ nt = *n * (*n + 1) / 2;
+
+/* set N1 and N2 depending on LOWER: for N even N1=N2=K */
+
+ if (lower) {
+ n2 = *n / 2;
+ n1 = *n - n2;
+ } else {
+ n1 = *n / 2;
+ n2 = *n - n1;
+ }
+
+/* If N is odd, set NISODD = .TRUE., LDA=N+1 and A is (N+1)--by--K2. */
+/* If N is even, set K = N/2 and NISODD = .FALSE., LDA=N and A is */
+/* N--by--(N+1)/2. */
+
+ if (*n % 2 == 0) {
+ k = *n / 2;
+ nisodd = FALSE_;
+ if (! lower) {
+ np1x2 = *n + *n + 2;
+ }
+ } else {
+ nisodd = TRUE_;
+ if (! lower) {
+ nx2 = *n + *n;
+ }
+ }
+
+ if (nisodd) {
+
+/* N is odd */
+
+ if (normaltransr) {
+
+/* N is odd and TRANSR = 'N' */
+
+ if (lower) {
+
+/* SRPA for LOWER, NORMAL and N is odd ( a(0:n-1,0:n1-1) ) */
+/* T1 -> a(0,0), T2 -> a(0,1), S -> a(n1,0) */
+/* T1 -> a(0), T2 -> a(n), S -> a(n1); lda=n */
+
+ ij = 0;
+ i__1 = n2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = n2 + j;
+ for (i__ = n1; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[n2 + j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (i__ = j; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ }
+
+ } else {
+
+/* SRPA for UPPER, NORMAL and N is odd ( a(0:n-1,0:n2-1) */
+/* T1 -> a(n1+1,0), T2 -> a(n1,0), S -> a(0,0) */
+/* T1 -> a(n2), T2 -> a(n1), S -> a(0); lda=n */
+
+ ij = nt - *n;
+ i__1 = n1;
+ for (j = *n - 1; j >= i__1; --j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ i__2 = n1 - 1;
+ for (l = j - n1; l <= i__2; ++l) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j - n1 + l * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ ij -= nx2;
+ }
+
+ }
+
+ } else {
+
+/* N is odd and TRANSR = 'C' */
+
+ if (lower) {
+
+/* SRPA for LOWER, TRANSPOSE and N is odd */
+/* T1 -> A(0,0) , T2 -> A(1,0) , S -> A(0,n1) */
+/* T1 -> A(0+0) , T2 -> A(1+0) , S -> A(0+n1*n1); lda=n1 */
+
+ ij = 0;
+ i__1 = n2 - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (i__ = n1 + j; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + (n1 + j) * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ }
+ i__1 = *n - 1;
+ for (j = n2; j <= i__1; ++j) {
+ i__2 = n1 - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+
+ } else {
+
+/* SRPA for UPPER, TRANSPOSE and N is odd */
+/* T1 -> A(0,n1+1), T2 -> A(0,n1), S -> A(0,0) */
+/* T1 -> A(n2*n2), T2 -> A(n1*n2), S -> A(0); lda=n2 */
+
+ ij = 0;
+ i__1 = n1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = *n - 1;
+ for (i__ = n1; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+ i__1 = n1 - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (l = n2 + j; l <= i__2; ++l) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[n2 + j + l * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+
+ }
+
+ }
+
+ } else {
+
+/* N is even */
+
+ if (normaltransr) {
+
+/* N is even and TRANSR = 'N' */
+
+ if (lower) {
+
+/* SRPA for LOWER, NORMAL, and N is even ( a(0:n,0:k-1) ) */
+/* T1 -> a(1,0), T2 -> a(0,0), S -> a(k+1,0) */
+/* T1 -> a(1), T2 -> a(0), S -> a(k+1); lda=n+1 */
+
+ ij = 0;
+ i__1 = k - 1;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = k + j;
+ for (i__ = k; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[k + j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (i__ = j; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ }
+
+ } else {
+
+/* SRPA for UPPER, NORMAL, and N is even ( a(0:n,0:k-1) ) */
+/* T1 -> a(k+1,0) , T2 -> a(k,0), S -> a(0,0) */
+/* T1 -> a(k+1), T2 -> a(k), S -> a(0); lda=n+1 */
+
+ ij = nt - *n - 1;
+ i__1 = k;
+ for (j = *n - 1; j >= i__1; --j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ i__2 = k - 1;
+ for (l = j - k; l <= i__2; ++l) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j - k + l * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ ij -= np1x2;
+ }
+
+ }
+
+ } else {
+
+/* N is even and TRANSR = 'C' */
+
+ if (lower) {
+
+/* SRPA for LOWER, TRANSPOSE and N is even (see paper, A=B) */
+/* T1 -> A(0,1) , T2 -> A(0,0) , S -> A(0,k+1) : */
+/* T1 -> A(0+k) , T2 -> A(0+0) , S -> A(0+k*(k+1)); lda=k */
+
+ ij = 0;
+ j = k;
+ i__1 = *n - 1;
+ for (i__ = k; i__ <= i__1; ++i__) {
+ i__2 = ij;
+ i__3 = i__ + j * a_dim1;
+ arf[i__2].r = a[i__3].r, arf[i__2].i = a[i__3].i;
+ ++ij;
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (i__ = k + 1 + j; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + (k + 1 + j) * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ }
+ i__1 = *n - 1;
+ for (j = k - 1; j <= i__1; ++j) {
+ i__2 = k - 1;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+
+ } else {
+
+/* SRPA for UPPER, TRANSPOSE and N is even (see paper, A=B) */
+/* T1 -> A(0,k+1) , T2 -> A(0,k) , S -> A(0,0) */
+/* T1 -> A(0+k*(k+1)) , T2 -> A(0+k*k) , S -> A(0+0)); lda=k */
+
+ ij = 0;
+ i__1 = k;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = *n - 1;
+ for (i__ = k; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[j + i__ * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+ i__1 = k - 2;
+ for (j = 0; j <= i__1; ++j) {
+ i__2 = j;
+ for (i__ = 0; i__ <= i__2; ++i__) {
+ i__3 = ij;
+ i__4 = i__ + j * a_dim1;
+ arf[i__3].r = a[i__4].r, arf[i__3].i = a[i__4].i;
+ ++ij;
+ }
+ i__2 = *n - 1;
+ for (l = k + 1 + j; l <= i__2; ++l) {
+ i__3 = ij;
+ d_cnjg(&z__1, &a[k + 1 + j + l * a_dim1]);
+ arf[i__3].r = z__1.r, arf[i__3].i = z__1.i;
+ ++ij;
+ }
+ }
+
+/* Note that here J = K-1 */
+
+ i__1 = j;
+ for (i__ = 0; i__ <= i__1; ++i__) {
+ i__2 = ij;
+ i__3 = i__ + j * a_dim1;
+ arf[i__2].r = a[i__3].r, arf[i__2].i = a[i__3].i;
+ ++ij;
+ }
+
+ }
+
+ }
+
+ }
+
+ return 0;
+
+/* End of ZTRTTF */
+
+} /* ztrttf_ */