Move fns:: test to a submodule
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@ -627,9 +627,6 @@ impl Tube {
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mod fns {
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use crate::FloatExt2;
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#[cfg(test)]
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use approx::{abs_diff_eq, assert_abs_diff_eq};
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pub struct TubeX {
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pub min: f32,
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pub max: f32,
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@ -667,44 +664,49 @@ mod fns {
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pub fn d2u(&self, x: f32) -> f32 { extend_const(x, |x| -2.0 * x.signum() * self.a() * self.root(x).powi(-3), self.external, 0.0) }
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}
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#[test]
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fn test_tube_y() {
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let testee = TubeY { internal: 100.0, external: 150.0 };
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let ε = 1.0e-4f32;
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let δ = 1.0 / 8.0; // Mathematically, you want this to be small. Computationally, you don’t.
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let margin = 1.0 / 16.0;
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let mul = 1.0 + margin;
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assert_abs_diff_eq!(testee.u(testee.external), testee.internal, epsilon = ε);
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assert_abs_diff_eq!(testee.u(-testee.external), -testee.internal, epsilon = ε);
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assert_abs_diff_eq!(testee.du(testee.external), 1., epsilon = ε);
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assert_abs_diff_eq!(testee.du(-testee.external), 1., epsilon = ε);
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for x in itertools_num::linspace(-mul * testee.external, mul * testee.external, 100) {
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let ux = testee.u(x);
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let xux = testee.x(ux);
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assert!(abs_diff_eq!(x, xux, epsilon = ε), "At x={}:\nu(x): {}\nx(u(x)): {}\n", x, ux, xux);
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#[cfg(test)]
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mod test {
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use approx::{abs_diff_eq, assert_abs_diff_eq};
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let du_num = (testee.u(x + δ) - testee.u(x - δ)) / (2. * δ);
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let du_expl = testee.du(x);
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assert!(abs_diff_eq!(du_expl, du_num, epsilon = ε), "At x={}, du/dx:\nnumerical: {}\nexplicit: {}\n", x, du_num, du_expl);
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#[test]
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fn test_tube_y() {
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let testee = super::TubeY { internal: 100.0, external: 150.0 };
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let ε = 1.0e-4f32;
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let δ = 1.0 / 8.0; // Mathematically, you want this to be small. Computationally, you don’t.
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let margin = 1.0 / 16.0;
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let mul = 1.0 + margin;
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assert_abs_diff_eq!(testee.u(testee.external), testee.internal, epsilon = ε);
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assert_abs_diff_eq!(testee.u(-testee.external), -testee.internal, epsilon = ε);
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assert_abs_diff_eq!(testee.du(testee.external), 1., epsilon = ε);
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assert_abs_diff_eq!(testee.du(-testee.external), 1., epsilon = ε);
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for x in itertools_num::linspace(-mul * testee.external, mul * testee.external, 100) {
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let ux = testee.u(x);
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let xux = testee.x(ux);
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assert!(abs_diff_eq!(x, xux, epsilon = ε), "At x={}:\nu(x): {}\nx(u(x)): {}\n", x, ux, xux);
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let dudx = du_expl * testee.dx(ux);
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assert!(abs_diff_eq!(dudx, 1.0, epsilon = ε), "At x={}:\ndu/dx * dx/du: {}\n", x, dudx);
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let du_num = (testee.u(x + δ) - testee.u(x - δ)) / (2. * δ);
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let du_expl = testee.du(x);
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assert!(abs_diff_eq!(du_expl, du_num, epsilon = ε), "At x={}, du/dx:\nnumerical: {}\nexplicit: {}\n", x, du_num, du_expl);
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let d2u_num = (testee.du(x + δ) - testee.du(x - δ)) / (2. * δ);
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let d2u_expl = testee.d2u(x);
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assert!(abs_diff_eq!(d2u_expl, d2u_num, epsilon = ε), "At x={}, d^2u/dx^2:\nnumerical: {}\nexplicit: {}\n", x, d2u_num, d2u_expl);
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}
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for u in itertools_num::linspace(-mul * testee.internal, mul * testee.internal, 100) {
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let xu = testee.x(u);
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let uxu = testee.u(xu);
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assert!(abs_diff_eq!(u, uxu, epsilon = ε), "At u={}:\nx(u): {}\nu(x(u)): {}\n", u, xu, uxu);
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let dudx = du_expl * testee.dx(ux);
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assert!(abs_diff_eq!(dudx, 1.0, epsilon = ε), "At x={}:\ndu/dx * dx/du: {}\n", x, dudx);
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let dx_num = (testee.x(u + δ) - testee.x(u - δ)) / (2. * δ);
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let dx_expl = testee.dx(u);
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assert!(abs_diff_eq!(dx_expl, dx_num, epsilon = ε), "At u={}, dx/du:\nnumerical: {}\nexplicit: {}\n", u, dx_num, dx_expl);
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let d2u_num = (testee.du(x + δ) - testee.du(x - δ)) / (2. * δ);
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let d2u_expl = testee.d2u(x);
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assert!(abs_diff_eq!(d2u_expl, d2u_num, epsilon = ε), "At x={}, d^2u/dx^2:\nnumerical: {}\nexplicit: {}\n", x, d2u_num, d2u_expl);
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}
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for u in itertools_num::linspace(-mul * testee.internal, mul * testee.internal, 100) {
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let xu = testee.x(u);
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let uxu = testee.u(xu);
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assert!(abs_diff_eq!(u, uxu, epsilon = ε), "At u={}:\nx(u): {}\nu(x(u)): {}\n", u, xu, uxu);
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let dudx = testee.du(xu) * dx_expl;
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assert!(abs_diff_eq!(dudx, 1.0, epsilon = ε), "At u={}:\ndu/dx * dx/du: {}\n", u, dudx);
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let dx_num = (testee.x(u + δ) - testee.x(u - δ)) / (2. * δ);
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let dx_expl = testee.dx(u);
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assert!(abs_diff_eq!(dx_expl, dx_num, epsilon = ε), "At u={}, dx/du:\nnumerical: {}\nexplicit: {}\n", u, dx_num, dx_expl);
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let dudx = testee.du(xu) * dx_expl;
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assert!(abs_diff_eq!(dudx, 1.0, epsilon = ε), "At u={}:\ndu/dx * dx/du: {}\n", u, dudx);
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}
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}
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}
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}
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