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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
/// Vector transpose times matrix times vector, 3 dim
///
/// Multiply the transpose of a 3-dimensional column vector,
/// a 3x3 matrix, and a 3-dimensional column vector.
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// V1 I 3-dimensional double precision column vector.
/// MATRIX I 3x3 double precision matrix.
/// V2 I 3-dimensional double precision column vector.
///
/// The function returns the result of multiplying the transpose of
/// V1 by MATRIX by V2.
/// ```
///
/// # Detailed Input
///
/// ```text
/// V1 is any double precision 3-dimensional column vector.
///
/// MATRIX is any double precision 3x3 matrix.
///
/// V2 is any double precision 3-dimensional column vector.
/// ```
///
/// # Detailed Output
///
/// ```text
/// The function returns the double precision value of the equation
///
/// T
/// V1 * MATRIX * V2
///
/// Notice that VTMV is actually the dot product of the vector
/// resulting from multiplying the transpose of V1 and MATRIX and the
/// vector V2.
/// ```
///
/// # Exceptions
///
/// ```text
/// Error free.
/// ```
///
/// # Particulars
///
/// ```text
/// This routine implements the following vector/matrix/vector
/// multiplication:
///
/// T
/// VTMV = V1 * MATRIX * V2
///
/// V1 is a column vector which becomes a row vector when transposed.
/// V2 is a column vector.
///
/// No checking is performed to determine whether floating point
/// overflow has occurred.
/// ```
///
/// # 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) Compute the multiplication of the transpose of a 3-dimensional
/// column vector, a 3x3 matrix, and a second 3-dimensional column
/// vector.
///
///
/// Example code begins here.
///
///
/// PROGRAM VTMV_EX1
/// IMPLICIT NONE
///
/// C
/// C SPICELIB functions.
/// C
/// DOUBLE PRECISION VTMV
///
/// C
/// C Local variables.
/// C
/// DOUBLE PRECISION MATRIX ( 3, 3 )
/// DOUBLE PRECISION V1 ( 3 )
/// DOUBLE PRECISION V2 ( 3 )
///
/// INTEGER I
/// INTEGER J
///
/// C
/// C Define V1, MATRIX and V2.
/// C
/// DATA V1 / 2.D0, 4.D0, 6.D0 /
/// DATA MATRIX / 0.D0, -1.D0, 0.D0,
/// . 1.D0, 0.D0, 0.D0,
/// . 0.D0, 0.D0, 1.D0 /
/// DATA V2 / 1.D0, 1.D0, 1.D0 /
///
///
/// WRITE(*,'(A)') 'V1:'
/// DO I = 1, 3
///
/// WRITE(*,'(F6.1)') V1(I)
///
/// END DO
///
/// WRITE(*,*)
/// WRITE(*,'(A)') 'MATRIX:'
/// DO I = 1, 3
///
/// WRITE(*,'(3F6.1)') ( MATRIX(I,J), J=1,3 )
///
/// END DO
///
/// WRITE(*,*)
/// WRITE(*,'(A)') 'V2:'
/// DO I = 1, 3
///
/// WRITE(*,'(F6.1)') V2(I)
///
/// END DO
///
/// C
/// C Compute the transpose of V1 times MATRIX times V2.
/// C
/// WRITE(*,*)
/// WRITE(*,'(A,F6.1)') 'Transpose of V1 times MATRIX '
/// . // 'times V2:', VTMV ( V1, MATRIX, V2 )
///
///
/// END
///
///
/// When this program was executed on a Mac/Intel/gfortran/64-bit
/// platform, the output was:
///
///
/// V1:
/// 2.0
/// 4.0
/// 6.0
///
/// MATRIX:
/// 0.0 1.0 0.0
/// -1.0 0.0 0.0
/// 0.0 0.0 1.0
///
/// V2:
/// 1.0
/// 1.0
/// 1.0
///
/// Transpose of V1 times MATRIX times V2: 4.0
/// ```
///
/// # 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, 06-JUL-2021 (JDR)
///
/// Added IMPLICIT NONE statement.
///
/// Edited the header and code to comply with NAIF standard. Added
/// complete code example based on existing example.
///
/// - 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 vtmv(v1: &[f64; 3], matrix: &[[f64; 3]; 3], v2: &[f64; 3]) -> f64 {
let ret = VTMV(v1, matrix.as_flattened(), v2);
ret
}
//$Procedure VTMV ( Vector transpose times matrix times vector, 3 dim )
pub fn VTMV(V1: &[f64], MATRIX: &[f64], V2: &[f64]) -> f64 {
let V1 = DummyArray::new(V1, 1..=3);
let MATRIX = DummyArray2D::new(MATRIX, 1..=3, 1..=3);
let V2 = DummyArray::new(V2, 1..=3);
let mut VTMV: f64 = 0.0;
//
// Local variables
//
VTMV = 0.0;
for K in 1..=3 {
for L in 1..=3 {
VTMV = (VTMV + ((V1[K] * MATRIX[[K, L]]) * V2[L]));
}
}
VTMV
}