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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
/// Determinant of a double precision 3x3 matrix
///
/// Compute the determinant of a double precision 3x3 matrix.
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// M1 I Matrix whose determinant is to be found.
///
/// The function returns the value of the determinant found by direct
/// application of the definition of the determinant.
/// ```
///
/// # Detailed Input
///
/// ```text
/// M1 is any double precision, 3x3 matrix.
/// ```
///
/// # Detailed Output
///
/// ```text
/// The function returns the value of the determinant found by direct
/// application of the definition of the determinant.
/// ```
///
/// # Exceptions
///
/// ```text
/// Error free.
/// ```
///
/// # Particulars
///
/// ```text
/// DET calculates the determinant of M1 in a single arithmetic
/// expression which is, effectively, the expansion of M1 about its
/// first row. Since the calculation of the determinant involves
/// the multiplication of numbers whose magnitudes are unrestricted,
/// there is the possibility of floating point overflow or underflow.
/// NO error checking or recovery is implemented in this routine.
/// ```
///
/// # 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 determinant.
///
/// Example code begins here.
///
///
/// PROGRAM DET_EX1
/// IMPLICIT NONE
///
/// C
/// C SPICELIB functions.
/// C
/// DOUBLE PRECISION DET
///
/// C
/// C Local variables
/// C
/// DOUBLE PRECISION M1 ( 3, 3 )
/// DOUBLE PRECISION M2 ( 3, 3 )
///
/// C
/// C Set M1 and M2.
/// C
/// DATA M1 / 1.D0, 2.D0, 3.D0,
/// . 4.D0, 5.D0, 6.D0,
/// . 7.D0, 8.D0, 9.D0 /
///
/// DATA M2 / 1.D0, 2.D0, 3.D0,
/// . 0.D0, 5.D0, 6.D0,
/// . 0.D0, 0.D0, 9.D0 /
///
/// C
/// C Display the determinant of M1 and M2.
/// C
/// WRITE(*,'(A,F6.2)') 'Determinant of M1:', DET(M1)
/// WRITE(*,'(A,F6.2)') 'Determinant of M2:', DET(M2)
///
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// Determinant of M1: 0.00
/// Determinant of M2: 45.00
/// ```
///
/// # Restrictions
///
/// ```text
/// 1) No checking is implemented to determine whether M1 will cause
/// overflow or underflow in the process of calculating the
/// determinant. In most cases, this will not pose a problem.
/// The user is required to determine if M1 is suitable matrix
/// for DET to operate on.
/// ```
///
/// # Author and Institution
///
/// ```text
/// J. Diaz del Rio (ODC Space)
/// W.M. Owen (JPL)
/// W.L. Taber (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.0.2, 02-JUL-2021 (JDR)
///
/// Edited the header to comply with NAIF standard. Added complete
/// code example based on existing fragment.
///
/// Added missing 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 (WMO)
/// ```
pub fn det(m1: &[[f64; 3]; 3]) -> f64 {
let ret = DET(m1.as_flattened());
ret
}
//$Procedure DET ( Determinant of a double precision 3x3 matrix )
pub fn DET(M1: &[f64]) -> f64 {
let M1 = DummyArray2D::new(M1, 1..=3, 1..=3);
let mut DET: f64 = 0.0;
DET = (((M1[[1, 1]] * ((M1[[2, 2]] * M1[[3, 3]]) - (M1[[2, 3]] * M1[[3, 2]])))
- (M1[[1, 2]] * ((M1[[2, 1]] * M1[[3, 3]]) - (M1[[2, 3]] * M1[[3, 1]]))))
+ (M1[[1, 3]] * ((M1[[2, 1]] * M1[[3, 2]]) - (M1[[2, 2]] * M1[[3, 1]]))));
DET
}