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use core::ops::{Index, IndexMut};
use std::{fmt, fs::{File, read_to_string}, io::Write, str::FromStr};
pub use crate::traits::{Number, Signed, Zero, One};
pub use crate::vector::Vector;
pub struct Mesh1D<T, X> {
nvars: usize,
nodes: Vector<X>,
vars: Vec<Vector<T>>,
}
impl<T: Clone + Number, X: Clone + Number + Copy> Mesh1D<T, X> {
#[inline]
pub fn new( nodes: Vector<X>, nvars: usize ) -> Self {
let node_vars = Vector::<T>::new( nvars, T::zero() );
let mut vars = Vec::new();
for _i in 0..nodes.size() {
vars.push( node_vars.clone() );
}
Mesh1D { nvars, nodes, vars }
}
#[inline]
pub fn nnodes(&self) -> usize {
self.nodes.size()
}
#[inline]
pub fn nvars(&self) -> usize {
self.nvars
}
#[inline]
pub fn coord(&self, node: usize ) -> X {
self.nodes[ node ]
}
#[inline]
pub fn set_nodes_vars(&mut self, node: usize, vec: Vector<T> ) {
if vec.size() != self.nvars { panic!( "Mesh1D error: set_nodes_vars " ); }
self.vars[ node ] = vec;
}
#[inline]
pub fn get_nodes_vars(&self, node: usize ) -> Vector<T> {
self.vars[ node ].clone()
}
#[inline]
pub fn nodes(&self) -> Vector<X> {
self.nodes.clone()
}
}
impl Mesh1D<f64, f64> {
#[inline]
pub fn get_interpolated_vars(&self, x_pos: f64 ) -> Vector<f64> {
let mut result = Vector::<f64>::new( self.nvars, 0.0 );
for node in 0..self.nodes.size()-1 {
if (( self.nodes[ node ] < x_pos ) && ( self.nodes[ node + 1 ] > x_pos ))
|| ( self.nodes[ node ] - x_pos ).abs() < 1.0e-7
|| ( self.nodes[ node + 1 ] - x_pos ).abs() < 1.0e-7
{
let delta_x: f64 = x_pos - self.nodes[ node ];
let left = self.get_nodes_vars( node );
let right = self.get_nodes_vars( node + 1 );
let deriv = (right - left.clone()) / ( self.nodes[ node + 1 ] - self.nodes[ node ] );
result = left + deriv * delta_x;
}
}
result
}
#[inline]
pub fn trapezium(&self, var: usize ) -> f64 {
let mut sum: f64 = 0.0;
for node in 0..self.nodes.size()-1 {
let dx = self.nodes[ node + 1 ] - self.nodes[ node ];
sum += 0.5 * dx * ( self.vars[ node ][ var ]
+ self.vars[ node + 1 ][ var ] );
}
sum
}
#[inline]
pub fn read(&mut self, filename: &str ) {
let data = read_to_string( filename ).expect( "Unable to read file");
let split = data.split_whitespace();
let vec: Vec<&str> = split.collect();
let mut nodes = Vector::<f64>::empty();
let node_vars = Vector::<f64>::new( self.nvars, 0.0 );
for i in 0..vec.len() {
if i % (self.nvars+1) == 0 {
nodes.push( f64::from_str( vec[i] ).unwrap() );
}
}
self.vars.resize( nodes.size(), node_vars.clone() );
self.nodes = nodes;
for i in 0..vec.len() {
for var in 0..self.nvars {
if i % (self.nvars+1) == var+1 {
self.vars[i / (self.nvars + 1)][var] = f64::from_str( vec[i] ).unwrap();
}
}
}
}
}
impl<T, X> Index<usize> for Mesh1D<T, X> {
type Output = Vector<T>;
#[inline]
fn index<'a>(&'a self, node: usize ) -> &'a Vector<T> {
&self.vars[ node ]
}
}
impl<T, X> IndexMut<usize> for Mesh1D<T, X> {
#[inline]
fn index_mut(&mut self, node: usize ) -> &mut Vector<T> {
&mut self.vars[ node ]
}
}
impl<T: fmt::Display, X: fmt::Display> Mesh1D<T, X> {
#[inline]
pub fn output(&self, filename: &str, precision: usize ) {
let mut f = File::create(filename).expect("Unable to create file");
for i in 0..self.nodes.size() {
write!( f, "{number:.prec$} ", prec = precision, number = self.nodes[ i ] ).unwrap();
for var in 0..self.nvars {
write!( f, "{number:.prec$} ", prec = precision, number = self.vars[ i ][ var ] ).unwrap();
}
writeln!(f, "").unwrap();
}
}
}