mirror of https://github.com/opencv/opencv.git
Open Source Computer Vision Library
https://opencv.org/
You can not select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
199 lines
5.0 KiB
199 lines
5.0 KiB
/* dlange.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 "clapack.h" |
|
|
|
|
|
/* Table of constant values */ |
|
|
|
static integer c__1 = 1; |
|
|
|
doublereal dlange_(char *norm, integer *m, integer *n, doublereal *a, integer |
|
*lda, doublereal *work) |
|
{ |
|
/* System generated locals */ |
|
integer a_dim1, a_offset, i__1, i__2; |
|
doublereal ret_val, d__1, d__2, d__3; |
|
|
|
/* Builtin functions */ |
|
double sqrt(doublereal); |
|
|
|
/* Local variables */ |
|
integer i__, j; |
|
doublereal sum, scale; |
|
extern logical lsame_(char *, char *); |
|
doublereal value; |
|
extern /* Subroutine */ int dlassq_(integer *, doublereal *, integer *, |
|
doublereal *, doublereal *); |
|
|
|
|
|
/* -- LAPACK auxiliary routine (version 3.2) -- */ |
|
/* Univ. of Tennessee, Univ. of California Berkeley and NAG Ltd.. */ |
|
/* November 2006 */ |
|
|
|
/* .. Scalar Arguments .. */ |
|
/* .. */ |
|
/* .. Array Arguments .. */ |
|
/* .. */ |
|
|
|
/* Purpose */ |
|
/* ======= */ |
|
|
|
/* DLANGE returns the value of the one norm, or the Frobenius norm, or */ |
|
/* the infinity norm, or the element of largest absolute value of a */ |
|
/* real matrix A. */ |
|
|
|
/* Description */ |
|
/* =========== */ |
|
|
|
/* DLANGE returns the value */ |
|
|
|
/* DLANGE = ( max(abs(A(i,j))), NORM = 'M' or 'm' */ |
|
/* ( */ |
|
/* ( norm1(A), NORM = '1', 'O' or 'o' */ |
|
/* ( */ |
|
/* ( normI(A), NORM = 'I' or 'i' */ |
|
/* ( */ |
|
/* ( normF(A), NORM = 'F', 'f', 'E' or 'e' */ |
|
|
|
/* where norm1 denotes the one norm of a matrix (maximum column sum), */ |
|
/* normI denotes the infinity norm of a matrix (maximum row sum) and */ |
|
/* normF denotes the Frobenius norm of a matrix (square root of sum of */ |
|
/* squares). Note that max(abs(A(i,j))) is not a consistent matrix norm. */ |
|
|
|
/* Arguments */ |
|
/* ========= */ |
|
|
|
/* NORM (input) CHARACTER*1 */ |
|
/* Specifies the value to be returned in DLANGE as described */ |
|
/* above. */ |
|
|
|
/* M (input) INTEGER */ |
|
/* The number of rows of the matrix A. M >= 0. When M = 0, */ |
|
/* DLANGE is set to zero. */ |
|
|
|
/* N (input) INTEGER */ |
|
/* The number of columns of the matrix A. N >= 0. When N = 0, */ |
|
/* DLANGE is set to zero. */ |
|
|
|
/* A (input) DOUBLE PRECISION array, dimension (LDA,N) */ |
|
/* The m by n matrix A. */ |
|
|
|
/* LDA (input) INTEGER */ |
|
/* The leading dimension of the array A. LDA >= max(M,1). */ |
|
|
|
/* WORK (workspace) DOUBLE PRECISION array, dimension (MAX(1,LWORK)), */ |
|
/* where LWORK >= M when NORM = 'I'; otherwise, WORK is not */ |
|
/* referenced. */ |
|
|
|
/* ===================================================================== */ |
|
|
|
/* .. Parameters .. */ |
|
/* .. */ |
|
/* .. Local Scalars .. */ |
|
/* .. */ |
|
/* .. External Subroutines .. */ |
|
/* .. */ |
|
/* .. External Functions .. */ |
|
/* .. */ |
|
/* .. Intrinsic Functions .. */ |
|
/* .. */ |
|
/* .. Executable Statements .. */ |
|
|
|
/* Parameter adjustments */ |
|
a_dim1 = *lda; |
|
a_offset = 1 + a_dim1; |
|
a -= a_offset; |
|
--work; |
|
|
|
/* Function Body */ |
|
if (min(*m,*n) == 0) { |
|
value = 0.; |
|
} else if (lsame_(norm, "M")) { |
|
|
|
/* Find max(abs(A(i,j))). */ |
|
|
|
value = 0.; |
|
i__1 = *n; |
|
for (j = 1; j <= i__1; ++j) { |
|
i__2 = *m; |
|
for (i__ = 1; i__ <= i__2; ++i__) { |
|
/* Computing MAX */ |
|
d__2 = value, d__3 = (d__1 = a[i__ + j * a_dim1], abs(d__1)); |
|
value = max(d__2,d__3); |
|
/* L10: */ |
|
} |
|
/* L20: */ |
|
} |
|
} else if (lsame_(norm, "O") || *(unsigned char *) |
|
norm == '1') { |
|
|
|
/* Find norm1(A). */ |
|
|
|
value = 0.; |
|
i__1 = *n; |
|
for (j = 1; j <= i__1; ++j) { |
|
sum = 0.; |
|
i__2 = *m; |
|
for (i__ = 1; i__ <= i__2; ++i__) { |
|
sum += (d__1 = a[i__ + j * a_dim1], abs(d__1)); |
|
/* L30: */ |
|
} |
|
value = max(value,sum); |
|
/* L40: */ |
|
} |
|
} else if (lsame_(norm, "I")) { |
|
|
|
/* Find normI(A). */ |
|
|
|
i__1 = *m; |
|
for (i__ = 1; i__ <= i__1; ++i__) { |
|
work[i__] = 0.; |
|
/* L50: */ |
|
} |
|
i__1 = *n; |
|
for (j = 1; j <= i__1; ++j) { |
|
i__2 = *m; |
|
for (i__ = 1; i__ <= i__2; ++i__) { |
|
work[i__] += (d__1 = a[i__ + j * a_dim1], abs(d__1)); |
|
/* L60: */ |
|
} |
|
/* L70: */ |
|
} |
|
value = 0.; |
|
i__1 = *m; |
|
for (i__ = 1; i__ <= i__1; ++i__) { |
|
/* Computing MAX */ |
|
d__1 = value, d__2 = work[i__]; |
|
value = max(d__1,d__2); |
|
/* L80: */ |
|
} |
|
} else if (lsame_(norm, "F") || lsame_(norm, "E")) { |
|
|
|
/* Find normF(A). */ |
|
|
|
scale = 0.; |
|
sum = 1.; |
|
i__1 = *n; |
|
for (j = 1; j <= i__1; ++j) { |
|
dlassq_(m, &a[j * a_dim1 + 1], &c__1, &scale, &sum); |
|
/* L90: */ |
|
} |
|
value = scale * sqrt(sum); |
|
} |
|
|
|
ret_val = value; |
|
return ret_val; |
|
|
|
/* End of DLANGE */ |
|
|
|
} /* dlange_ */
|
|
|