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//
// GENERATED FILE
//
use super::*;
use crate::SpiceContext;
use f2rust_std::*;
struct SaveVars {
INDEXS: StackArray<i32, 5>,
}
impl SaveInit for SaveVars {
fn new() -> Self {
let mut INDEXS = StackArray::<i32, 5>::new(1..=5);
{
use f2rust_std::data::Val;
let mut clist = [Val::I(1), Val::I(2), Val::I(3), Val::I(1), Val::I(2)].into_iter();
INDEXS
.iter_mut()
.for_each(|n| *n = clist.next().unwrap().into_i32());
debug_assert!(clist.next().is_none(), "DATA not fully initialised");
}
Self { INDEXS }
}
}
/// Derivative of a rotation matrix
///
/// Calculate the derivative with respect to the angle of rotation
/// of a 3x3 coordinate system rotation matrix generated by a
/// rotation of a specified angle about a specified axis.
///
/// # Required Reading
///
/// * [ROTATION](crate::required_reading::rotation)
///
/// # Brief I/O
///
/// ```text
/// VARIABLE I/O DESCRIPTION
/// -------- --- --------------------------------------------------
/// ANGLE I Angle of rotation (radians).
/// IAXIS I Coordinate axis number (X=1, Y=2, Z=3).
/// DMOUT O Derivative of rotation matrix [ANGLE] w.r.t. angle
/// IAXIS
/// ```
///
/// # Detailed Input
///
/// ```text
/// ANGLE is the angle given in radians, through which the rotation
/// is performed.
///
/// IAXIS is the coordinate axis number of the rotation. The X, Y,
/// and Z axes have indices 1, 2 and 3 respectively.
///
/// Together ANGLE and IAXIS define the coordinate system
/// rotation [ANGLE] .
/// IAXIS
/// ```
///
/// # Detailed Output
///
/// ```text
/// DMOUT is the derivative of the rotation matrix with respect to
/// the angle of rotation. That is, DMOUT is the derivative
/// with respect to ANGLE of the matrix [ANGLE] .
/// IAXIS
///
/// (The rotation matrix being differentiated describes
/// the rotation of the COORDINATE system through ANGLE
/// radians about the axis whose index is IAXIS.)
/// ```
///
/// # Exceptions
///
/// ```text
/// 1) If the axis index is not in the range 1 to 3, the error
/// SPICE(BADAXIS) is signaled.
/// ```
///
/// # Particulars
///
/// ```text
/// A coordinate system rotation by ANGLE radians rotation about
/// the first, i.e. x-axis, [ANGLE] is described by
/// 1
///
/// | 1 0 0 |
/// | 0 cos(ANGLE) sin(ANGLE) |
/// | 0 -sin(ANGLE) cos(ANGLE) |
///
/// A coordinate system rotation by ANGLE radians rotation about the
/// second, i.e. y-axis, [ANGLE] is described by
/// 2
///
/// | cos(ANGLE) 0 -sin(ANGLE) |
/// | 0 1 0 |
/// | sin(ANGLE) 0 cos(ANGLE) |
///
/// A coordinate system rotation by ANGLE radians rotation about
/// the third, i.e. z-axis, [ANGLE] is described by
/// 3
///
/// | cos(ANGLE) sin(ANGLE) 0 |
/// | -sin(ANGLE) cos(ANGLE) 0 |
/// | 0 0 1 |
///
/// The derivatives of these matrices are:
///
/// about the x-axis
///
/// | 0 0 0 |
/// | 0 -sin(ANGLE) cos(ANGLE) |
/// | 0 -cos(ANGLE) -sin(ANGLE) |
///
/// about the y-axis
///
/// | -sin(ANGLE) 0 -cos(ANGLE) |
/// | 0 0 0 |
/// | cos(ANGLE) 0 -sin(ANGLE) |
///
/// about the z-axis
///
/// | -sin(ANGLE) cos(ANGLE) 0 |
/// | -cos(ANGLE) -sin(ANGLE) 0 |
/// | 0 0 0 |
/// ```
///
/// # Examples
///
/// ```text
/// If ROTATE is called from a FORTRAN program as follows:
///
/// CALL DROTAT (PI()/4, 3, DMOUT)
///
/// then DMOUT will be
///
/// |-SQRT(2)/2 SQRT(2)/2 0 |
/// |-SQRT(2)/2 -SQRT(2)/2 0 |
/// | 0 0 0 |
/// ```
///
/// # Author and Institution
///
/// ```text
/// J. Diaz del Rio (ODC Space)
/// W.L. Taber (JPL)
/// ```
///
/// # Version
///
/// ```text
/// - SPICELIB Version 1.1.0, 12-AUG-2021 (JDR)
///
/// Added IMPLICIT NONE statement.
///
/// Edited the header to comply with NAIF standard.
///
/// - 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, 05-NOV-1990 (WLT)
/// ```
pub fn drotat(
ctx: &mut SpiceContext,
angle: f64,
iaxis: i32,
dmout: &mut [[f64; 3]; 3],
) -> crate::Result<()> {
DROTAT(angle, iaxis, dmout.as_flattened_mut(), ctx.raw_context())?;
ctx.handle_errors()?;
Ok(())
}
//$Procedure DROTAT ( Derivative of a rotation matrix )
pub fn DROTAT(
ANGLE: f64,
IAXIS: i32,
DMOUT: &mut [f64],
ctx: &mut Context,
) -> f2rust_std::Result<()> {
let save = ctx.get_vars::<SaveVars>();
let save = &mut *save.borrow_mut();
let mut DMOUT = DummyArrayMut2D::new(DMOUT, 1..=3, 1..=3);
let mut S: f64 = 0.0;
let mut C: f64 = 0.0;
let mut I1: i32 = 0;
let mut I2: i32 = 0;
let mut I3: i32 = 0;
//
// First make sure the input axis is reasonable.
//
if ((IAXIS > 3) || (IAXIS < 1)) {
CHKIN(b"DROTAT", ctx)?;
SETMSG(b"The input axis is out of range. Its value is #.", ctx);
ERRINT(b"#", IAXIS, ctx);
SIGERR(b"SPICE(BADAXIS)", ctx)?;
CHKOUT(b"DROTAT", ctx)?;
return Ok(());
}
//
// Get the sine and cosine of ANGLE
//
S = f64::sin(ANGLE);
C = f64::cos(ANGLE);
//
// Get indices for axes. The first index is for the axis of rotation.
// The next two axes follow in right hand order (XYZ).
//
I1 = save.INDEXS[IAXIS];
I2 = save.INDEXS[(IAXIS + 1)];
I3 = save.INDEXS[(IAXIS + 2)];
//
// Construct the rotation matrix
//
DMOUT[[I1, I1]] = 0.0;
DMOUT[[I2, I1]] = 0.0;
DMOUT[[I3, I1]] = 0.0;
DMOUT[[I1, I2]] = 0.0;
DMOUT[[I2, I2]] = -S;
DMOUT[[I3, I2]] = -C;
DMOUT[[I1, I3]] = 0.0;
DMOUT[[I2, I3]] = C;
DMOUT[[I3, I3]] = -S;
//
Ok(())
}