Split into modules

This commit is contained in:
numzero 2024-04-28 23:11:34 +03:00
parent 4c29c8de0b
commit 10563d8d56

View File

@ -2,6 +2,7 @@ use flo_draw::*;
use flo_canvas::*;
use glm::*;
use num_traits::identities::Zero;
use riemann::{Decomp2, Metric, trace_iter};
pub fn main() {
let space = Coil {
@ -75,14 +76,18 @@ impl Metric for Coil {
}
}
struct Decomp2 {
ortho: Mat2,
diag: Vec2,
}
mod riemann {
use glm::*;
use num_traits::identities::Zero;
type Tens2 = [Mat2; 2];
pub struct Decomp2 {
pub ortho: Mat2,
pub diag: Vec2,
}
trait Metric {
type Tens2 = [Mat2; 2];
pub trait Metric {
fn halfmetric(&self, pos: Vec2) -> Decomp2;
fn metric(&self, pos: Vec2) -> Mat2 {
@ -103,18 +108,18 @@ trait Metric {
}
fn globalize(&self, at: Vec2, v: Vec2) -> Vec2 {
let h = self.halfmetric(at);
transpose(&h.ortho) * diagonal( Vec2::from_s(1.0) / h.diag) * h.ortho * v
transpose(&h.ortho) * diagonal(Vec2::from_s(1.0) / h.diag) * h.ortho * v
}
}
}
struct TraceIter<'a, M: Metric> {
pub struct TraceIter<'a, M: Metric> {
space: &'a M,
p: Vec2,
v: Vec2,
dt: f32,
}
}
impl<'a, M: Metric> Iterator for TraceIter<'a, M> {
impl<'a, M: Metric> Iterator for TraceIter<'a, M> {
type Item = Vec2;
fn next(&mut self) -> Option<Self::Item> {
@ -123,23 +128,29 @@ impl<'a, M: Metric> Iterator for TraceIter<'a, M> {
self.p = self.p + self.v * self.dt;
Some(self.p)
}
}
}
fn trace(space: &impl Metric, base: Vec2, dir: Vec2, distance: f32, dt: f32) -> Vec<Vec2> {
fn trace(space: &impl Metric, base: Vec2, dir: Vec2, distance: f32, dt: f32) -> Vec<Vec2> {
trace_iter(space, base, dir, dt).take((distance / dt) as usize).collect()
}
}
fn trace_iter<M: Metric>(space: &M, base: Vec2, dir: Vec2, dt: f32) -> TraceIter<M> {
TraceIter{
pub fn trace_iter<M: Metric>(space: &M, base: Vec2, dir: Vec2, dt: f32) -> TraceIter<M> {
TraceIter {
space: space,
p: base,
v: space.normalize(base, dir),
dt: dt,
}
}
}
#[test]
fn t_iter() {
#[cfg(test)]
mod test {
use glm::*;
use crate::riemann::{trace, trace_iter};
use crate::Coil;
#[test]
fn t_iter() {
let space = Coil {
coil_scale: 2.0,
coil_r: 300.0,
@ -153,9 +164,10 @@ fn t_iter() {
let a = trace(&space, base, dir, dt * (steps as f32), dt);
let b: Vec<Vec2> = trace_iter(&space, base, dir, dt).take(steps).collect();
assert_eq!(a, b);
}
}
}
fn krist(space: &impl Metric, pos: Vec2) -> Tens2 {
fn krist(space: &impl Metric, pos: Vec2) -> Tens2 {
// Γ^i_k_l = .5 * g^i^m * (g_m_k,l + g_m_l,k - g_k_l,m)
let g = inverse(&space.metric(pos)); // с верхними индексами
let d = space.dmetric(pos);
@ -173,28 +185,29 @@ fn krist(space: &impl Metric, pos: Vec2) -> Tens2 {
}
}
ret
}
}
fn dir_deriv(f: impl Fn(Vec2) -> Mat2, pos: Vec2, delta: Vec2) -> Mat2 {
fn dir_deriv(f: impl Fn(Vec2) -> Mat2, pos: Vec2, delta: Vec2) -> Mat2 {
(f(pos + delta) - f(pos - delta)) / (2.0 * length(delta))
}
}
fn part_deriv(f: impl Fn(Vec2) -> Mat2, pos: Vec2, eps: f32) -> Tens2 {
fn part_deriv(f: impl Fn(Vec2) -> Mat2, pos: Vec2, eps: f32) -> Tens2 {
[
dir_deriv(&f, pos, vec2(eps, 0.0)),
dir_deriv(&f, pos, vec2(0.0, eps)),
]
}
}
fn convolute(G: Tens2, v: Vec2) -> Vec2 {
fn convolute(G: Tens2, v: Vec2) -> Vec2 {
vec2(
dot(v, G[0] * v),
dot(v, G[1] * v)
)
}
}
fn diagonal(v: Vec2) -> Mat2 {
fn diagonal(v: Vec2) -> Mat2 {
mat2(v.x, 0.0, 0.0, v.y)
}
}
fn sqr(x: f32) -> f32 {