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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
/// Matrix transpose times matrix, general dimension
///
/// Multiply the transpose of a matrix with another matrix,
/// both of arbitrary size. (The dimensions of the matrices must be
/// compatible with this multiplication.)
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// M1 I Left-hand matrix whose transpose is to be
/// multiplied.
/// M2 I Right-hand matrix to be multiplied.
/// NC1 I Column dimension of M1 and row dimension of MOUT.
/// NR1R2 I Row dimension of both M1 and M2.
/// NC2 I Column dimension of both M2 and MOUT.
/// MOUT O Product matrix M1**T * M2.
/// ```
///
/// # Detailed Input
///
/// ```text
/// M1 is an double precision matrix of arbitrary dimension
/// whose transpose is the left hand multiplier of a
/// matrix multiplication.
///
/// M2 is an double precision matrix of arbitrary dimension
/// whose transpose is the left hand multiplier of a
/// matrix multiplication.
///
/// NC1 is the column dimension of M1 and row dimension of
/// MOUT.
///
/// NR1R2 is the row dimension of both M1 and M2.
///
/// NC2 is the column dimension of both M2 and MOUT.
/// ```
///
/// # Detailed Output
///
/// ```text
/// MOUT is a double precision matrix containing the product
///
/// T
/// MOUT = M1 x M2
///
/// where the superscript T denotes the transpose of M1.
///
/// MOUT must NOT overwrite either M1 or M2.
/// ```
///
/// # Exceptions
///
/// ```text
/// Error free.
///
/// 1) If NR1R2 < 1, the elements of the matrix MOUT are set equal to
/// zero.
/// ```
///
/// # Particulars
///
/// ```text
/// The code reflects precisely the following mathematical expression
///
/// For each value of the subscript I from 1 to NC1, and J from 1
/// to NC2:
///
/// MOUT(I,J) = Summation from K=1 to NR1R2 of ( M1(K,I) * M2(K,J) )
///
/// Note that the reversal of the K and I subscripts in the left-hand
/// matrix M1 is what makes MOUT the product of the TRANSPOSE of M1
/// and not simply of M1 itself.
///
/// Since this subroutine operates on matrices of arbitrary size, it
/// is not possible to buffer intermediate results. Thus, MOUT
/// should NOT overwrite either M1 or M2.
/// ```
///
/// # Examples
///
/// ```text
/// The numerical results shown for this example may differ across
/// platforms. The results depend on the SPICE kernels used as
/// input, the compiler and supporting libraries, and the machine
/// specific arithmetic implementation.
///
/// 1) Given a 2x4 and a 2x3 matrices, multiply the transpose of the
/// first matrix by the second one.
///
///
/// Example code begins here.
///
///
/// PROGRAM MTXMG_EX1
/// IMPLICIT NONE
///
/// C
/// C Local variables.
/// C
/// DOUBLE PRECISION M1 ( 4, 2 )
/// DOUBLE PRECISION M2 ( 2, 3 )
/// DOUBLE PRECISION MOUT ( 4, 3 )
///
/// INTEGER I
/// INTEGER J
///
/// C
/// C Define M1 and M2.
/// C
/// DATA M1 / 1.0D0, 1.0D0,
/// . 2.0D0, 1.0D0,
/// . 3.0D0, 1.0D0,
/// . 0.0D0, 1.0D0 /
///
/// DATA M2 / 1.0D0, 0.0D0,
/// . 2.0D0, 0.0D0,
/// . 3.0D0, 0.0D0 /
///
/// C
/// C Multiply the transpose of M1 by M2.
/// C
/// CALL MTXMG ( M1, M2, 4, 2, 3, MOUT )
///
/// WRITE(*,'(A)') 'Transpose of M1 times M2:'
/// DO I = 1, 4
///
/// WRITE(*,'(3F10.3)') ( MOUT(I,J), J=1,3)
///
/// END DO
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// Transpose of M1 times M2:
/// 1.000 2.000 3.000
/// 2.000 4.000 6.000
/// 3.000 6.000 9.000
/// 0.000 0.000 0.000
/// ```
///
/// # Restrictions
///
/// ```text
/// 1) The user is responsible for checking the magnitudes of the
/// elements of M1 and M2 so that a floating point overflow does
/// not occur.
///
/// 2) MOUT must not overwrite M1 or M2 or else the intermediate
/// will affect the final result.
/// ```
///
/// # Author and Institution
///
/// ```text
/// J. Diaz del Rio (ODC Space)
/// W.M. Owen (JPL)
/// W.L. Taber (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.1.0, 04-JUL-2021 (JDR)
///
/// Added IMPLICIT NONE statement.
///
/// Edited the header to comply with NAIF standard. Removed
/// unnecessary $Revisions section.
///
/// Added complete code example based on the existing example.
///
/// Added entry #1 to $Exceptions section.
///
/// - SPICELIB Version 1.0.1, 10-MAR-1992 (WLT)
///
/// Comment section for permuted index source lines was added
/// following the header.
///
/// - SPICELIB Version 1.0.0, 31-JAN-1990 (WMO)
/// ```
pub fn mtxmg(m1: &[f64], m2: &[f64], nc1: i32, nr1r2: i32, nc2: i32, mout: &mut [f64]) {
MTXMG(m1, m2, nc1, nr1r2, nc2, mout);
}
//$Procedure MTXMG ( Matrix transpose times matrix, general dimension )
pub fn MTXMG(M1: &[f64], M2: &[f64], NC1: i32, NR1R2: i32, NC2: i32, MOUT: &mut [f64]) {
let M1 = DummyArray2D::new(M1, 1..=NR1R2, 1..=NC1);
let M2 = DummyArray2D::new(M2, 1..=NR1R2, 1..=NC2);
let mut MOUT = DummyArrayMut2D::new(MOUT, 1..=NC1, 1..=NC2);
//
// Local variables
//
//
// Perform the matrix multiplication
//
for I in 1..=NC1 {
for J in 1..=NC2 {
MOUT[[I, J]] = 0.0;
for K in 1..=NR1R2 {
MOUT[[I, J]] = (MOUT[[I, J]] + (M1[[K, I]] * M2[[K, J]]));
}
}
}
//
}