ability to plot integral as a line
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@ -11,10 +11,21 @@ use epi::{Frame, Storage};
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use include_flate::flate;
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use instant::Duration;
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use shadow_rs::shadow;
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use std::fmt::{self, Debug};
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use std::ops::RangeInclusive;
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shadow!(build);
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#[derive(PartialEq, Debug, Copy, Clone)]
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enum DisplayIntegral {
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Rectangles,
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Plot,
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}
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impl fmt::Display for DisplayIntegral {
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fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "{:?}", self) }
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}
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// Constant string that has a string containing information about the build.
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const BUILD_INFO: &str = formatc!(
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"Commit: {} ({})\nBuild Date: {}\nRust Channel: {}\nRust Version: {}",
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@ -94,6 +105,11 @@ struct AppSettings {
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// Number of rectangles used to calculate integral
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pub integral_num: usize,
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// Stores whether or not the settings window is open
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pub settings_open: bool,
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pub integral_display_type: DisplayIntegral,
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}
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impl Default for AppSettings {
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@ -106,6 +122,8 @@ impl Default for AppSettings {
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integral_min_x: DEFAULT_MIN_X,
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integral_max_x: DEFAULT_MAX_X,
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integral_num: DEFAULT_INTEGRAL_NUM,
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settings_open: false,
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integral_display_type: DisplayIntegral::Rectangles,
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}
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}
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}
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@ -345,6 +363,17 @@ impl epi::App for MathApp {
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self.settings.help_open = !self.settings.help_open;
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}
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if ui
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.add(Button::new("Settings"))
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.on_hover_text(match self.settings.settings_open {
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true => "Close Settings Window",
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false => "Open Settings Window",
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})
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.clicked()
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{
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self.settings.settings_open = !self.settings.settings_open;
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}
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if ui
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.add(Button::new("Info"))
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.on_hover_text(match self.settings.info_open {
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@ -363,6 +392,29 @@ impl epi::App for MathApp {
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});
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});
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// Help window with information for users
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Window::new("Settings")
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.default_pos([200.0, 200.0])
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.open(&mut self.settings.settings_open)
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.resizable(false)
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.collapsible(false)
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.show(ctx, |ui| {
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ComboBox::from_label("Integral Display")
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.selected_text(self.settings.integral_display_type.to_string())
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.show_ui(ui, |ui| {
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ui.selectable_value(
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&mut self.settings.integral_display_type,
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DisplayIntegral::Rectangles,
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"Rectangles",
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);
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ui.selectable_value(
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&mut self.settings.integral_display_type,
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DisplayIntegral::Plot,
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"Line",
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);
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});
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});
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// Help window with information for users
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Window::new("Help")
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.default_pos([200.0, 200.0])
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@ -439,8 +491,14 @@ impl epi::App for MathApp {
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}
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if let Some(bars_data) = bars {
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let (bar_chart, area) = bars_data;
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plot_ui.bar_chart(bar_chart.color(Color32::BLUE).width(step));
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let (integral_bar, integral_line, area) = bars_data;
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match self.settings.integral_display_type {
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DisplayIntegral::Rectangles => plot_ui
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.bar_chart(integral_bar.color(Color32::BLUE).width(step)),
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DisplayIntegral::Plot => {
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plot_ui.line(integral_line.color(Color32::BLUE))
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}
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}
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digits_precision(area, 8)
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} else {
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f64::NAN
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@ -29,7 +29,7 @@ pub struct Function {
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pixel_width: usize,
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back_cache: Option<Vec<Value>>,
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front_cache: Option<(Vec<Bar>, f64)>,
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front_cache: Option<(Vec<Bar>, Vec<Value>, f64)>,
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derivative_cache: Option<Vec<Value>>,
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pub(crate) integral: bool,
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@ -161,7 +161,13 @@ impl Function {
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}
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}
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pub fn run_back(&mut self) -> (Vec<Value>, Option<(Vec<Bar>, f64)>, Option<Vec<Value>>) {
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pub fn run_back(
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&mut self,
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) -> (
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Vec<Value>,
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Option<(Vec<Bar>, Vec<Value>, f64)>,
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Option<Vec<Value>>,
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) {
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let back_values: Vec<Value> = {
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if self.back_cache.is_none() {
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let resolution: f64 =
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@ -203,11 +209,14 @@ impl Function {
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true => {
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if self.front_cache.is_none() {
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let (data, area) = self.integral_rectangles();
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self.front_cache =
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Some((data.iter().map(|(x, y)| Bar::new(*x, *y)).collect(), area));
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self.front_cache = Some((
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data.iter().map(|(x, y, _)| Bar::new(*x, *y)).collect(),
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data.iter().map(|(x, _, y)| Value::new(*x, *y)).collect(),
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area,
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));
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}
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let cache = self.front_cache.as_ref().unwrap();
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Some((cache.0.clone(), cache.1))
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Some((cache.0.clone(), cache.1.clone(), cache.2))
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}
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false => None,
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};
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@ -215,13 +224,17 @@ impl Function {
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(back_values, front_bars, derivative_values)
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}
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pub fn run(&mut self) -> (Line, Option<(BarChart, f64)>, Option<Line>) {
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pub fn run(&mut self) -> (Line, Option<(BarChart, Line, f64)>, Option<Line>) {
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let (back_values, front_data_option, derivative_option) = self.run_back();
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(
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Line::new(Values::from_values(back_values)),
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if let Some(front_data1) = front_data_option {
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Some((BarChart::new(front_data1.0), front_data1.1))
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Some((
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BarChart::new(front_data1.0),
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Line::new(Values::from_values(front_data1.1)),
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front_data1.2,
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))
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} else {
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None
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},
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@ -234,7 +247,7 @@ impl Function {
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}
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// Creates and does the math for creating all the rectangles under the graph
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fn integral_rectangles(&self) -> (Vec<(f64, f64)>, f64) {
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fn integral_rectangles(&self) -> (Vec<(f64, f64, f64)>, f64) {
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if self.integral_min_x.is_nan() {
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panic!("integral_min_x is NaN")
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} else if self.integral_max_x.is_nan() {
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@ -243,7 +256,8 @@ impl Function {
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let step = (self.integral_min_x - self.integral_max_x).abs() / (self.integral_num as f64);
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let data2: Vec<(f64, f64)> = (1..=self.integral_num)
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let mut area: f64 = 0.0;
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let data2: Vec<(f64, f64, f64)> = (1..=self.integral_num)
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.map(|e| {
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let x: f64 = ((e as f64) * step) + self.integral_min_x;
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let step_offset = step * x.signum(); // store the offset here so it doesn't have to be calculated multiple times
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@ -254,20 +268,20 @@ impl Function {
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false => (x2, x),
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};
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(
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x + (step_offset / 2.0),
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match self.sum {
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RiemannSum::Left => self.run_func(left_x),
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RiemannSum::Right => self.run_func(right_x),
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RiemannSum::Middle => {
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(self.run_func(left_x) + self.run_func(right_x)) / 2.0
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}
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},
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)
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let y = match self.sum {
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RiemannSum::Left => self.run_func(left_x),
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RiemannSum::Right => self.run_func(right_x),
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RiemannSum::Middle => (self.run_func(left_x) + self.run_func(right_x)) / 2.0,
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};
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if !y.is_nan() {
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area += y * step;
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}
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(x + (step_offset / 2.0), y, area)
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})
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.filter(|(_, y)| !y.is_nan())
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.filter(|(_, y, _)| !y.is_nan())
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.collect();
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let area: f64 = data2.iter().map(|(_, y)| y * step).sum(); // sum of all rectangles' areas
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(data2, area)
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}
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@ -337,7 +351,7 @@ fn left_function_test() {
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let (back_values, bars, _) = function.run_back();
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assert!(bars.is_some());
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assert_eq!(back_values.len(), 10);
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assert_eq!(bars.clone().unwrap().1, 0.8720000000000001);
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assert_eq!(bars.clone().unwrap().2, 0.8720000000000001);
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let vec_bars = bars.unwrap().0;
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assert_eq!(vec_bars.len(), 10);
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}
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@ -390,7 +404,7 @@ fn middle_function_test() {
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let (back_values, bars, _) = function.run_back();
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assert!(bars.is_some());
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assert_eq!(back_values.len(), 10);
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assert_eq!(bars.clone().unwrap().1, 0.9200000000000002);
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assert_eq!(bars.clone().unwrap().2, 0.9200000000000002);
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let vec_bars = bars.unwrap().0;
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assert_eq!(vec_bars.len(), 10);
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}
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@ -443,7 +457,7 @@ fn right_function_test() {
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let (back_values, bars, _) = function.run_back();
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assert!(bars.is_some());
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assert_eq!(back_values.len(), 10);
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assert_eq!(bars.clone().unwrap().1, 0.9680000000000002);
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assert_eq!(bars.clone().unwrap().2, 0.9680000000000002);
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let vec_bars = bars.unwrap().0;
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assert_eq!(vec_bars.len(), 10);
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}
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