/* mxmg.f -- translated by f2c (version 19980913). You must link the resulting object file with the libraries: -lf2c -lm (in that order) */ #include "f2c.h" /* $Procedure MXMG ( Matrix times matrix, general dimension ) */ /* Subroutine */ int mxmg_(doublereal *m1, doublereal *m2, integer *row1, integer *col1, integer *col2, doublereal *mout) { /* System generated locals */ integer m1_dim1, m1_dim2, m1_offset, m2_dim1, m2_dim2, m2_offset, mout_dim1, mout_dim2, mout_offset, i__1, i__2, i__3, i__4, i__5; /* Builtin functions */ integer s_rnge(char *, integer, char *, integer); /* Local variables */ integer i__, j, k; doublereal sum; /* $ Abstract */ /* Multiply two double precision matrices of arbitrary size. */ /* $ Disclaimer */ /* THIS SOFTWARE AND ANY RELATED MATERIALS WERE CREATED BY THE */ /* CALIFORNIA INSTITUTE OF TECHNOLOGY (CALTECH) UNDER A U.S. */ /* GOVERNMENT CONTRACT WITH THE NATIONAL AERONAUTICS AND SPACE */ /* ADMINISTRATION (NASA). THE SOFTWARE IS TECHNOLOGY AND SOFTWARE */ /* PUBLICLY AVAILABLE UNDER U.S. EXPORT LAWS AND IS PROVIDED "AS-IS" */ /* TO THE RECIPIENT WITHOUT WARRANTY OF ANY KIND, INCLUDING ANY */ /* WARRANTIES OF PERFORMANCE OR MERCHANTABILITY OR FITNESS FOR A */ /* PARTICULAR USE OR PURPOSE (AS SET FORTH IN UNITED STATES UCC */ /* SECTIONS 2312-2313) OR FOR ANY PURPOSE WHATSOEVER, FOR THE */ /* SOFTWARE AND RELATED MATERIALS, HOWEVER USED. */ /* IN NO EVENT SHALL CALTECH, ITS JET PROPULSION LABORATORY, OR NASA */ /* BE LIABLE FOR ANY DAMAGES AND/OR COSTS, INCLUDING, BUT NOT */ /* LIMITED TO, INCIDENTAL OR CONSEQUENTIAL DAMAGES OF ANY KIND, */ /* INCLUDING ECONOMIC DAMAGE OR INJURY TO PROPERTY AND LOST PROFITS, */ /* REGARDLESS OF WHETHER CALTECH, JPL, OR NASA BE ADVISED, HAVE */ /* REASON TO KNOW, OR, IN FACT, SHALL KNOW OF THE POSSIBILITY. */ /* RECIPIENT BEARS ALL RISK RELATING TO QUALITY AND PERFORMANCE OF */ /* THE SOFTWARE AND ANY RELATED MATERIALS, AND AGREES TO INDEMNIFY */ /* CALTECH AND NASA FOR ALL THIRD-PARTY CLAIMS RESULTING FROM THE */ /* ACTIONS OF RECIPIENT IN THE USE OF THE SOFTWARE. */ /* $ Required_Reading */ /* None. */ /* $ Keywords */ /* MATRIX */ /* $ Declarations */ /* $ Brief_I/O */ /* VARIABLE I/O DESCRIPTION */ /* -------- --- -------------------------------------------------- */ /* M1 I ROW1xCOL1 double precision matrix. */ /* M2 I COL1xCOL2 double precision matrix. */ /* ROW1 I Row dimension of M1 (and also MOUT). */ /* COL1 I Column dimension of M1 and row dimension of M2. */ /* COL2 I Column dimension of M2 (and also MOUT). */ /* MOUT O ROW1xCOL2 double precision matrix. */ /* $ Detailed_Input */ /* M1 is any double precision matrix of arbitrary size. */ /* M2 is any double precision matrix of arbitrary size. */ /* The number of rows in M2 must match the number of */ /* columns in M1. */ /* ROW1 is the number of rows in both M1 and MOUT. */ /* COL1 is the number of columns in M1 and (by necessity) */ /* the number of rows of M2. */ /* COL2 is the number of columns in both M2 and MOUT. */ /* $ Detailed_Output */ /* MOUT is a a double precision matrix of dimension */ /* ROW1 x COL2. MOUT is the product matrix given */ /* by MOUT = (M1) x (M2). MOUT must not overwrite */ /* M1 or M2. */ /* $ Parameters */ /* None. */ /* $ Examples */ /* Let M1 = | 1.0D0 4.0D0 | and M2 = | 1.0D0 3.0D0 5.0D0 | */ /* | | | | */ /* | 2.0D0 5.0D0 | | 2.0D0 4.0D0 6.0D0 | */ /* | | */ /* | 3.0D0 6.0D0 | */ /* and ROW1 = 3 */ /* COL1 = 2 */ /* COL2 = 3 */ /* Then the call */ /* CALL MXMG ( M1, M2, ROW1, COL1, COL2, MOUT ) */ /* produces the matrix */ /* MOUT = | 9.0D0 19.0D0 29.0D0 | */ /* | | */ /* | 12.0D0 26.0D0 40.0D0 | */ /* | | */ /* | 15.0D0 33.0D0 51.0D0 | */ /* $ Particulars */ /* The code reflects precisely the following mathematical expression */ /* For each value of the subscript I from 1 to NC1, and J from 1 */ /* to COL2: */ /* MOUT(I,J) = Summation from K=1 to ROW1R2 of ( M1(I,K) * M2(K,J) */ /* Since this subroutine operates on matrices of arbitrary size, it */ /* is not feasible to buffer intermediate results. Thus, MOUT */ /* should NOT overwrite either M1 or M2. */ /* $ Restrictions */ /* 1) No error checking is performed to prevent numeric overflow or */ /* underflow. */ /* 2) No error checking performed to determine if the input and */ /* output matrices have, in fact, been correctly dimensioned. */ /* 3) MOUT should not overwrite M1 or M2. */ /* $ Exceptions */ /* Error free. */ /* 1) If COL1 < 1, the elements of the matrix MOUT are set equal to */ /* zero. */ /* $ Files */ /* None. */ /* $ Author_and_Institution */ /* W.M. Owen (JPL) */ /* $ Literature_References */ /* None. */ /* $ Version */ /* - SPICELIB Version 1.0.1, 10-MAR-1992 (WLT) */ /* Comment section for permuted index source lines was added */ /* following the header. */ /* - SPICELIB Version 1.0.0, 31-JAN-1990 (WMO) */ /* -& */ /* $ Index_Entries */ /* matrix times matrix n-dimensional_case */ /* -& */ /* Perform the matrix multiplication */ /* Parameter adjustments */ m1_dim1 = *row1; m1_dim2 = *col1; m1_offset = m1_dim1 + 1; mout_dim1 = *row1; mout_dim2 = *col2; mout_offset = mout_dim1 + 1; m2_dim1 = *col1; m2_dim2 = *col2; m2_offset = m2_dim1 + 1; /* Function Body */ i__1 = *row1; for (i__ = 1; i__ <= i__1; ++i__) { i__2 = *col2; for (j = 1; j <= i__2; ++j) { sum = 0.; i__3 = *col1; for (k = 1; k <= i__3; ++k) { sum += m1[(i__4 = i__ + k * m1_dim1 - m1_offset) < m1_dim1 * m1_dim2 && 0 <= i__4 ? i__4 : s_rnge("m1", i__4, "mxmg_", (ftnlen)183)] * m2[(i__5 = k + j * m2_dim1 - m2_offset) < m2_dim1 * m2_dim2 && 0 <= i__5 ? i__5 : s_rnge("m2", i__5, "mxmg_", (ftnlen)183)]; } mout[(i__3 = i__ + j * mout_dim1 - mout_offset) < mout_dim1 * mout_dim2 && 0 <= i__3 ? i__3 : s_rnge("mout", i__3, "mxmg_", (ftnlen)185)] = sum; } } return 0; } /* mxmg_ */