flavio 0.5.0

flavio welcomes you
Documentation 
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use super::{
    CurrentCoordinate, CurrentVelocity, DeformationGradient, DeformationGradientRate, FrameSpin,
    ReferenceCoordinate, RotationCurrentConfiguration, RotationRateCurrentConfiguration,
    RotationReferenceConfiguration, Scalar, TemperatureGradient, IDENTITY, IDENTITY_00,
    IDENTITY_10, IDENTITY_1010,
};
use crate::math::{
    test::{assert_eq_within_tols, TestError},
    Rank2, Tensor, TensorArray,
};

pub fn get_deformation_gradient() -> DeformationGradient {
    DeformationGradient::new([
        [0.63595746, 0.69157849, 0.71520784],
        [0.80589604, 0.83687323, 0.19312595],
        [0.05387420, 0.86551549, 0.41880244],
    ])
}

pub fn get_deformation_gradient_rate() -> DeformationGradientRate {
    DeformationGradientRate::new([
        [0.17414455, 0.97269465, 0.87856299],
        [0.96651379, 0.84670298, 0.66739030],
        [0.16205052, 0.85112927, 0.38711266],
    ])
}

pub fn get_deformation_gradient_rotated() -> DeformationGradient {
    get_rotation_current_configuration()
        * get_deformation_gradient()
        * get_rotation_reference_configuration().transpose()
}

pub fn get_deformation_gradient_rotated_undeformed() -> DeformationGradient {
    get_rotation_current_configuration()
        * IDENTITY_10
        * get_rotation_reference_configuration().transpose()
}

pub fn get_deformation_gradient_rate_rotated() -> DeformationGradientRate {
    (get_rotation_current_configuration() * get_deformation_gradient_rate()
        + get_rotation_rate_current_configuration() * get_deformation_gradient())
        * get_rotation_reference_configuration().transpose()
}

pub fn get_deformation_gradient_rate_rotated_undeformed() -> DeformationGradientRate {
    get_rotation_rate_current_configuration()
        * get_deformation_gradient()
        * get_rotation_reference_configuration().transpose()
}

pub fn get_frame_spin() -> FrameSpin {
    FrameSpin::new([[0.0, 0.1, -0.2], [-0.1, 0.0, 0.8], [0.2, -0.8, 0.0]])
}

pub fn get_rotation_current_configuration() -> RotationCurrentConfiguration {
    let sqrt_2 = (2.0 as Scalar).sqrt();
    let sqrt_3 = (3.0 as Scalar).sqrt();
    let sqrt_6 = (6.0 as Scalar).sqrt();
    RotationCurrentConfiguration::new([
        [0.25 * sqrt_2, -0.25 * sqrt_6, 0.5 * sqrt_2],
        [
            0.125 * sqrt_2 + 0.75,
            -0.125 * sqrt_6 + 0.25 * sqrt_3,
            -0.25 * sqrt_2,
        ],
        [
            -0.125 * sqrt_6 + 0.25 * sqrt_3,
            0.25 + 0.375 * sqrt_2,
            0.25 * sqrt_6,
        ],
    ])
}

pub fn get_rotation_rate_current_configuration() -> RotationRateCurrentConfiguration {
    get_frame_spin() * get_rotation_current_configuration()
}

pub fn get_rotation_reference_configuration() -> RotationReferenceConfiguration {
    let sqrt_2 = (2.0 as Scalar).sqrt();
    let sqrt_3 = (3.0 as Scalar).sqrt();
    let sqrt_6 = (6.0 as Scalar).sqrt();
    RotationReferenceConfiguration::new([
        [0.25 * sqrt_6, -0.25 * sqrt_6, 0.5],
        [
            0.125 * sqrt_6 + 0.25 * sqrt_2,
            -0.125 * sqrt_6 + 0.25 * sqrt_2,
            -0.75,
        ],
        [
            -0.125 * sqrt_2 + 0.25 * sqrt_6,
            0.125 * sqrt_2 + 0.25 * sqrt_6,
            0.25 * sqrt_3,
        ],
    ])
}

pub fn get_translation_current_configuration() -> CurrentCoordinate {
    CurrentCoordinate::new([1.1, 2.2, 3.3])
}

pub fn get_translation_rate_current_configuration() -> CurrentVelocity {
    CurrentVelocity::new([0.4, -0.7, 1.2])
}

pub fn get_translation_reference_configuration() -> ReferenceCoordinate {
    ReferenceCoordinate::new([4.4, 5.5, 6.6])
}

pub fn get_temperature() -> Scalar {
    123.0
}

pub fn get_temperature_gradient() -> TemperatureGradient {
    TemperatureGradient::new([12.3, -5.0, 8.8])
}

#[test]
fn frame_spin_tensor() {
    get_frame_spin()
        .iter()
        .zip(get_frame_spin().transpose().iter())
        .for_each(|(frame_spin_i, frame_spin_transpose_i)| {
            frame_spin_i
                .iter()
                .zip(frame_spin_transpose_i.iter())
                .for_each(|(frame_spin_ij, frame_spin_transpose_ij)| {
                    assert_eq!(frame_spin_ij, &(-frame_spin_transpose_ij))
                })
        })
}

#[test]
fn identity_1010() {
    IDENTITY_1010.iter().enumerate().for_each(|(i, entry_i)| {
        entry_i.iter().enumerate().for_each(|(j, entry_ij)| {
            entry_ij.iter().enumerate().for_each(|(k, entry_ijk)| {
                entry_ijk.iter().enumerate().for_each(|(l, entry_ijkl)| {
                    assert_eq!(entry_ijkl, &(((i == k) as u8 * (j == l) as u8) as Scalar))
                })
            })
        })
    })
}

#[test]
fn rotation_current_configuration() -> Result<(), TestError> {
    assert_eq_within_tols(
        &(get_rotation_current_configuration() * get_rotation_current_configuration().transpose()),
        &IDENTITY,
    )
}

#[test]
fn rotation_reference_configuration() -> Result<(), TestError> {
    assert_eq_within_tols(
        &(get_rotation_reference_configuration()
            * get_rotation_reference_configuration().transpose()),
        &IDENTITY_00,
    )
}

#[test]
fn rotation_rate_current_configuration() -> Result<(), TestError> {
    assert_eq_within_tols(
        &get_rotation_rate_current_configuration(),
        &(get_frame_spin() * get_rotation_current_configuration()),
    )
}

#[test]
fn size() {
    assert_eq!(std::mem::size_of::<Scalar>(), std::mem::size_of::<f64>());
    assert_eq!(
        std::mem::size_of::<DeformationGradient>(),
        std::mem::size_of::<[[f64; 3]; 3]>()
    );
}