/* Copyright (C) 2019 Akshay Oppiliappan * Refer to LICENCE for more information. * */ use std::collections::HashMap; use crate::CONFIGURATION; use crate::error::{ CalcError, Math }; #[derive(Debug, Copy, Clone, PartialEq)] pub struct Operator { token: char, pub operation: fn(f64, f64) -> f64, pub precedence: u8, pub is_left_associative: bool, } impl Operator { fn token_from_op(token: char, operation: fn(f64, f64) -> f64, precedence: u8, is_left_associative: bool) -> Token { Token::Operator( Operator { token, operation, precedence, is_left_associative } ) } pub fn operate(self, x: f64, y: f64) -> Result { if self.token == '/' && y == 0. { return Err(CalcError::Math(Math::DivideByZero)) } else { Ok((self.operation)(x, y)) } } } #[derive(Debug, Clone, PartialEq)] pub struct Function { token: String, relation: fn(f64) -> f64, } impl Function { fn token_from_fn(token: String, relation: fn(f64) -> f64) -> Token { Token::Function( Function { token, relation } ) } pub fn apply(self, arg: f64) -> Result { let result = (self.relation)(arg); if !result.is_finite() { return Err(CalcError::Math(Math::OutOfBounds)); } else { Ok(result) } } } #[derive(Debug, Clone, PartialEq)] pub enum Token { Operator(Operator), Num(f64), Function(Function), LParen, RParen } fn get_functions() -> HashMap<&'static str, Token> { return [ ("sin", Function::token_from_fn("sin".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).sin())), ("cos", Function::token_from_fn("cos".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).cos())), ("tan", Function::token_from_fn("tan".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).tan())), ("csc", Function::token_from_fn("csc".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).sin().recip())), ("sec", Function::token_from_fn("sec".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).cos().recip())), ("cot", Function::token_from_fn("cot".into(), |x| is_radian_mode(x, CONFIGURATION.radian_mode).tan().recip())), ("sinh", Function::token_from_fn("sinh".into(), |x| x.sinh())), ("cosh", Function::token_from_fn("cosh".into(), |x| x.cosh())), ("tanh", Function::token_from_fn("tanh".into(), |x| x.tanh())), ("ln", Function::token_from_fn("ln".into(), |x| x.ln())), ("log", Function::token_from_fn("log".into(), |x| x.log10())), ("sqrt", Function::token_from_fn("sqrt".into(), |x| x.sqrt())), ("ceil", Function::token_from_fn("ceil".into(), |x| x.ceil())), ("floor", Function::token_from_fn("floor".into(), |x| x.floor())), ("rad", Function::token_from_fn("rad".into(), |x| x.to_radians())), ("deg", Function::token_from_fn("deg".into(), |x| x.to_degrees())), ("abs", Function::token_from_fn("abs".into(), |x| x.abs())), ("asin", Function::token_from_fn("asin".into(), |x| x.asin())), ("acos", Function::token_from_fn("acos".into(), |x| x.acos())), ("atan", Function::token_from_fn("atan".into(), |x| x.atan())), ("acsc", Function::token_from_fn("acsc".into(), |x| (1./x).asin())), ("asec", Function::token_from_fn("asec".into(), |x| (1./x).acos())), ("acot", Function::token_from_fn("acot".into(), |x| (1./x).atan())), // single arg function s can be added here ].iter().cloned().collect(); } pub fn get_operators() -> HashMap { return [ ('+', Operator::token_from_op('+', |x, y| x + y, 2, true)), ('-', Operator::token_from_op('-', |x, y| x - y, 2, true)), ('*', Operator::token_from_op('*', |x, y| x * y, 3, true)), ('/', Operator::token_from_op('/', |x, y| x / y, 3, true)), ('%', Operator::token_from_op('%', |x, y| x % y, 3, true)), ('^', Operator::token_from_op('^', |x, y| x.powf(y) , 4, false)), ('!', Operator::token_from_op('!', |x, _| factorial(x) , 4, true)), ].iter().cloned().collect(); } fn factorial (n: f64) -> f64 { n.signum() * (1.. n.abs() as u64 +1).fold(1, |p, n| p*n) as f64 } pub fn lexer(input: &str) -> Result, CalcError> { let functions: HashMap<&str, Token> = get_functions(); let operators: HashMap = get_operators(); let mut num_vec: String = String::new(); let mut char_vec: String = String::new(); let mut result: Vec = vec![]; let mut last_char_is_op = true; for letter in input.chars() { match letter { '0'...'9' | '.' => { if char_vec.len() > 0 { if let Some(_) = functions.get(&char_vec[..]) { return Err(CalcError::Syntax(format!("Function '{}' expected parentheses", char_vec))) } else { return Err(CalcError::Syntax(format!("Unexpected character '{}'", char_vec))) } } num_vec.push(letter); last_char_is_op = false; }, 'a'...'z' | 'A'...'Z' => { let parse_num = num_vec.parse::().ok(); if let Some(x) = parse_num { result.push(Token::Num(x)); result.push(operators.get(&'*').unwrap().clone()); num_vec.clear(); } char_vec.push(letter); last_char_is_op = false; }, '+' | '-' => { let op_token = operators.get(&letter).unwrap().clone(); let parse_num = num_vec.parse::().ok(); if !last_char_is_op { if let Some(x) = parse_num { result.push(Token::Num(x)); num_vec.clear(); last_char_is_op = true; } result.push(op_token); } else if last_char_is_op { result.push(Token::LParen); result.push(Token::Num((letter.to_string() + "1").parse::().unwrap())); result.push(Token::RParen); result.push(Operator::token_from_op('*', |x, y| x * y, 10, true)); } }, '/' | '*' | '%' | '^' | '!' => { drain_num_stack(&mut num_vec, &mut result); let operator_token: Token = operators.get(&letter).unwrap().clone(); result.push(operator_token); last_char_is_op = true; if letter == '!' { result.push(Token::Num(1.)); last_char_is_op = false; } }, '(' => { if char_vec.len() > 0 { if let Some(res) = functions.get(&char_vec[..]) { result.push(res.clone()); } else { return Err(CalcError::Syntax(format!("Unknown function '{}'", char_vec))) } char_vec.clear(); } else { let parse_num = num_vec.parse::().ok(); if let Some(x) = parse_num { result.push(Token::Num(x)); result.push(operators.get(&'*').unwrap().clone()); num_vec.clear(); } } if let Some(x) = result.last() { match x { Token::RParen => { result.push(operators.get(&'*').unwrap().clone()); }, _ => {} }; } result.push(Token::LParen); last_char_is_op = true; }, ')' => { drain_num_stack(&mut num_vec, &mut result); result.push(Token::RParen); last_char_is_op = false; }, ' ' => {}, _ => { return Err(CalcError::Syntax(format!("Unexpected character: '{}'", letter))) } } } drain_num_stack(&mut num_vec, &mut result); Ok(result) } fn drain_num_stack(num_vec: &mut String, result: &mut Vec) { let parse_num = num_vec.parse::().ok(); if let Some(x) = parse_num { result.push(Token::Num(x)); num_vec.clear(); } } fn is_radian_mode(x: f64, is_radian: bool) -> f64 { if is_radian { return x } else { x.to_radians() } }