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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
/// Trace of a 3x3 matrix
///
/// Return the trace of a 3x3 matrix.
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// MATRIX I 3x3 matrix of double precision numbers.
///
/// The function returns the trace of MATRIX.
/// ```
///
/// # Detailed Input
///
/// ```text
/// MATRIX is a double precision 3x3 matrix.
/// ```
///
/// # Detailed Output
///
/// ```text
/// The function returns the trace of MATRIX, i.e. it is the sum of
/// the diagonal elements of MATRIX.
/// ```
///
/// # Exceptions
///
/// ```text
/// Error free.
/// ```
///
/// # Particulars
///
/// ```text
/// The code reflects precisely the following mathematical
/// expression:
///
/// 3
/// .----
/// \
/// TRACE = ) MATRIX(I,I)
/// /
/// '----
/// I=1
///
/// No error detection or correction is implemented within this
/// function.
/// ```
///
/// # 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 3x3 double precision matrix, compute its trace.
///
///
/// Example code begins here.
///
///
/// PROGRAM TRACE_EX1
/// IMPLICIT NONE
///
/// C
/// C SPICELIB functions.
/// C
/// DOUBLE PRECISION TRACE
///
/// C
/// C Local variables.
/// C
/// DOUBLE PRECISION MATRIX ( 3, 3 )
///
/// INTEGER I
/// INTEGER J
///
/// C
/// C Define MATRIX.
/// C
/// DATA MATRIX / 3.D0, 0.D0, 4.D0,
/// . 5.D0, -2.D0, 0.D0,
/// . 7.D0, 8.D0, -1.D0 /
///
///
/// WRITE(*,'(A)') 'MATRIX:'
/// DO I=1, 3
///
/// WRITE(*,'(3F6.1)') ( MATRIX(I,J), J=1,3 )
///
/// END DO
///
/// C
/// C Compute the trace of MATRIX and display the result.
/// C
/// WRITE(*,*)
/// WRITE(*,'(A,F4.1)') 'Trace: ', TRACE ( MATRIX )
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// MATRIX:
/// 3.0 5.0 7.0
/// 0.0 -2.0 8.0
/// 4.0 0.0 -1.0
///
/// Trace: 0.0
/// ```
///
/// # Restrictions
///
/// ```text
/// 1) No checking is performed to guard against floating point
/// overflow or underflow. This routine should probably not be
/// used if the input matrix is expected to have large double
/// precision numbers along the diagonal.
/// ```
///
/// # Author and Institution
///
/// ```text
/// J. Diaz del Rio (ODC Space)
/// W.L. Taber (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.0.2, 03-JUL-2020 (JDR)
///
/// Edited the header to comply with NAIF standard. Added complete
/// code example based on existing example.
///
/// Added IMPLICIT NONE statement.
///
/// - 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 (WLT)
/// ```
pub fn trace(matrix: &[[f64; 3]; 3]) -> f64 {
let ret = TRACE(matrix.as_flattened());
ret
}
//$Procedure TRACE ( Trace of a 3x3 matrix )
pub fn TRACE(MATRIX: &[f64]) -> f64 {
let MATRIX = DummyArray2D::new(MATRIX, 1..=3, 1..=3);
let mut TRACE: f64 = 0.0;
TRACE = ((MATRIX[[1, 1]] + MATRIX[[2, 2]]) + MATRIX[[3, 3]]);
TRACE
}