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https://github.com/beartocode/num_parser

A Rust math interpreter and evaluator
https://github.com/beartocode/num_parser

expression-evaluator math math-parser math-parser-library mathematics parser rust rust-crate rust-lang rust-library

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A Rust math interpreter and evaluator

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# num_parser: a math interpreter and evaluator

[![crate](https://img.shields.io/crates/v/num_parser)](https://crates.io/crates/num_parser)
[![license](https://img.shields.io/github/license/BearToCode/num_parser)](https://github.com/BearToCode/num_parser/blob/master/LICENSE)
[![docs](https://img.shields.io/docsrs/num_parser)](https://docs.rs/num_parser/1.0.2/num_parser/)

**num_parser** allows you to easily **parse** strings into math expressions
and **evaluate** them.

## Features
* Binary and unary operators
* Supports **multiple value types**:
* Bool,
* Int,
* Float,
* [Complex](num::complex::Complex64),
* Vector
* Built-in functions
* Built-in constants
* **User-defined functions**: `f(x,y) = xsin(y)+ysin(x)`
* **User-defined var**: `a = pi/2` or `b = a+2`
* Define you own functions with **macros**.
* Understands **ambiguous syntax**, like: `g(x) = pisinx`
* **Recursion**: `f(x) = branch(x<=2, 1, f(x-1)+f(x-2))`
* Serde support
* No panicking

Much more will be implemented in future releases!

## Use Guide

Evaluating **simple static expressions**:
```rust
use num_parser::*;

assert_eq!(eval("2+2").unwrap(), Value::from(4));
assert_eq!(eval("sin(pi)").unwrap(), Value::from(0));
assert_eq!(eval("re(10+3i)").unwrap(), Value::from(10));
```

Using **contexts**:

```rust
use num_parser::*;

let mut context = Context::default();
// Declaring a function
let res = eval_with_mutable_context(
"f(x) = branch(x<=2, 1, f(x-1) + f(x-2))",
&mut context
).unwrap();

// Result is None
assert_eq!(res, None);
// Calling the function. We could just use eval_with_static_context at this point
let res = eval_with_mutable_context("f(10)", &mut context).unwrap();

assert_eq!(res, Some(Value::from(55)));
```

## Values
**Values** are contained inside the [Value enum](Value), which provides useful functions
to access the contained data:

```rust
use num_parser::Value;

let value = Value::Float(1.0);

assert_eq!(value.as_bool().unwrap(), true);
assert_eq!(value.as_int().unwrap(), 1);
assert_eq!(value.as_float().unwrap(), 1.0);
assert_eq!(value.as_complex().unwrap(), num::complex::Complex::new(1.0, 0.0));
assert_eq!(value.as_vector(), vec![Value::Float(1.0)]);

// Assign type implicitly:
let implicit = Value::from(1.0);

assert_eq!(value, implicit);
```

Note that, even thought the initial value was a float, it has been **cast** into ints and bools. This
was possible since the value had no decimal part and it was a one. If these conditions were not
met, the cast would have failed.

## Operators
**Binary** operators:

| Operator | Description | Precedence |
|----------|-------------|------------|
| ^ | Exponentiation | 90 |
| / | Division | 70 |
| * | Multiplication | 70 |
| % | Modulo | 70 |
| + | Sum | 60 |
| - | Subtraction | 60 |
| < | Less than | 50 |
| > | Greater than | 50 |
| <= | Less or equal to | 50 |
| >= | Greater or equal to | 50 |
| == | Equal to | 40 |
| != | Not equal to | 40 |
| && | Logical AND | 30 |
| || | Logical OR | 20 |
| , | Aggregation. Creates vectors | 10 |
| = | Assignment. Used for functions and vars declarations | 0 |

**Unary** operators:

| Operator | Description | Precedence |
|----------|-------------|------------|
| ! | Logical NOT | 80 |
| - | Negation | 60 |

## Functions

| Function | Parameters Amount | Description |
|----------|----------------------------|---------------------------------------------------------------|
| `min` | >=1 | Returns the minimum value. |
| `max` | >=1 | Returns the maximum value. |
| `floor` | 1 | Returns the greatest lower integer. |
| `ceil` | 1 | Returns the lowest greater integer. |
| `round` | 1 | Returns the rounded integer. |
| `ln` | 1 | Returns the natural log of the number. |
| `log` | 2 (base, arg) | Returns the logarithm of the number with the specified base. |
| `exp` | 1 | Returns e^(arg). |
| `rand` | 2 (min, max) | Returns a random float between the two number specified. |
| `abs` | 1 | Returns the absolute value of a number. |
| `sqrt` | 1 | Returns the square root of a number. |
| `branch` | 3 (condition, true, false) | Returns the second argument if the condition is true, the third if it is false. |
| `sin` | 1 | Returns the sine of the angle. |
| `cos` | 1 | Returns the cosine of the angle. |
| `tan` | 1 | Returns the tangent of the angle. |
| `asin` | 1 | Returns the arcsine of the angle. |
| `acos` | 1 | Returns the arccosine of the angle. |
| `atan` | 1 | Returns the arctangent of the angle. |
| `sinh` | 1 | Returns the hyperbolic sine of the angle. |
| `cosh` | 1 | Returns the hyperbolic cosine of the angle. |
| `tanh` | 1 | Returns the hyperbolic tangent of the angle. |
| `asinh` | 1 | Returns the hyperbolic arcsine of the angle. |
| `acosh` | 1 | Returns the hyperbolic arccosine of the angle. |
| `atanh` | 1 | Returns the hyperbolic arctangent of the angle. |
| `re` | 1 | Returns the natural part of the number. |
| `im` | 1 | Returns the imaginary part of the number. |
| `polar` | 1 | Returns the polar form (r, theta) of the complex number. |
| `arg` | 1 | Returns the principal arg of the number. |
| `norm` | 1 | Returns the length of the vector (re, im). |

## Context

[Contexts](Context) allows you keep track of **user-defined functions** and **variables**, as well
as settings. They can be created as follows:

```rust
use num_parser::*;

// Generate the default context
let mut default = Context::default();

// Generate a custom context
let mut custom = Context::new(
settings::Rounding::NoRounding,
settings::AngleUnit::Degree,
settings::DepthLimit::NoLimit
);
```

### Serde

You can use the optional feature `serde_support` to let all the public structs
derive [`Serialize`](https://docs.rs/serde/1.0.71/serde/trait.Serializer.html) and
[`Deserialize`](https://docs.rs/serde/1.0.71/serde/trait.Serializer.html).

```rust
[dependencies]
num = { version = "", features = [ "serde_support" ] }
```

## License and contribution
num_parser is licensed under a **MIT License**.

Feel free to open issues and pull requests for any problems or ideas you come up with.