GPG Key ID:
BB3596BD0A31252D
7 changed files with 307 additions and 81 deletions
@ -0,0 +1,170 @@
@@ -0,0 +1,170 @@
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use crate::astree; |
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use crate::astree::{Boundaries, Boundary, Condition, Expression, FunctionType, Junction}; |
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use crate::error; |
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use std::collections::HashMap; |
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pub fn generate(n: u8) -> Result<astree::Structure, error::Error> { |
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let mut junctions = Vec::<Junction>::with_capacity(n as usize); |
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let mut labels = HashMap::<String, Expression>::new(); |
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let mut vars = HashMap::<char, f64>::new(); |
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vars.insert('s', 1_f64); |
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let vars_eval = Some(&vars); |
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let double_n: u16 = (n as u16) * 2; |
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let mut min_x = 1_f64; |
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let mut min_x_label = String::from("error"); |
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let mut max_x = -1_f64; |
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let mut max_x_label = String::from("error"); |
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let mut min_y = 1_f64; |
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let mut min_y_label = String::from("error"); |
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let mut max_y = -1_f64; |
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let mut max_y_label = String::from("error"); |
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for i in 0..n { |
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let angle_label = format!("@angle{}", i); |
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let angle_exp = Expression::operation( |
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'/', |
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Expression::operation( |
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'*', |
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Expression::float(i), |
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Expression::float(std::f64::consts::TAU), |
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), |
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Expression::float(n), |
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); |
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labels.insert(angle_label.to_string(), angle_exp); |
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let idents = Some(&labels); |
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let x_label = format!("@x{}", i); |
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let x_exp = Expression::operation( |
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'*', |
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Expression::var('s'), |
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Expression::function( |
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FunctionType::Cos, |
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Expression::ident(angle_label.to_string()), |
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), |
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); |
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let x_val = x_exp.eval(&idents, &vars_eval)?; |
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labels.insert(x_label.to_string(), x_exp); |
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if x_val < min_x { |
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min_x = x_val; |
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min_x_label = x_label.to_string(); |
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} |
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if x_val > max_x { |
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max_x = x_val; |
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max_x_label = x_label.to_string(); |
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} |
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let idents = Some(&labels); |
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let y_label = format!("@y{}", i); |
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let y_exp = Expression::operation( |
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'*', |
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Expression::var('s'), |
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Expression::function( |
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FunctionType::Sin, |
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Expression::ident(angle_label.to_string()), |
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), |
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); |
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let y_val = y_exp.eval(&idents, &vars_eval)?; |
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labels.insert(y_label.to_string(), y_exp); |
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if y_val < min_y { |
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min_y = y_val; |
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min_y_label = y_label.to_string(); |
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} |
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if y_val > max_y { |
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max_y = y_val; |
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max_y_label = y_label.to_string(); |
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} |
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let normal_index: u16 = (i as u16) * 2 + 1; |
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let normal_angle_label = format!("@nangle{}", i); |
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let normal_angle_exp = Expression::operation( |
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'/', |
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Expression::operation( |
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'*', |
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Expression::float(normal_index), |
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Expression::float(std::f64::consts::TAU), |
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), |
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Expression::float(double_n), |
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); |
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labels.insert(normal_angle_label.to_string(), normal_angle_exp); |
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let normal_x_label = format!("@nx{}", i); |
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let normal_x_exp = Expression::function( |
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FunctionType::Cos, |
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Expression::ident(normal_angle_label.to_string()), |
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); |
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labels.insert(normal_x_label.to_string(), normal_x_exp); |
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let normal_y_label = format!("@ny{}", i); |
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let normal_y_exp = Expression::function( |
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FunctionType::Sin, |
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Expression::ident(normal_angle_label.to_string()), |
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); |
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labels.insert(normal_y_label.to_string(), normal_y_exp); |
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let j_exp = Expression::operation( |
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'+', |
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Expression::operation( |
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'*', |
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Expression::ident(normal_x_label.to_string()), |
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Expression::operation( |
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'-', |
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Expression::var('x'), |
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Expression::ident(x_label.to_string()), |
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), |
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), |
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Expression::operation( |
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'*', |
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Expression::ident(normal_y_label.to_string()), |
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Expression::operation( |
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'-', |
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Expression::var('y'), |
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Expression::ident(y_label.to_string()), |
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), |
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), |
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); |
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junctions.push(Junction::singleton(Condition::new( |
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'≤', |
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j_exp, |
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Expression::float(0), |
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))); |
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} |
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while junctions.len() > 1 { |
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let left = junctions.remove(0); |
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let right = junctions.remove(0); |
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junctions.push(Junction::meta('⋀', left, right)); |
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} |
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let the_junction = junctions.pop().unwrap(); |
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let boundaries: Boundaries = [ |
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Boundary::new(Expression::float(0), '≤', 'z', '≤', Expression::float(0))?, |
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Boundary::new( |
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Expression::ident(min_x_label), |
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'≤', |
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'x', |
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'≤', |
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Expression::ident(max_x_label), |
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)?, |
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Boundary::new( |
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Expression::ident(min_y_label), |
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'≤', |
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'y', |
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'≤', |
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Expression::ident(max_y_label), |
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)?, |
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]; |
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Ok((Some(labels), boundaries, the_junction)) |
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} |
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