num_parser: a math interpreter and evaluator

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,
  • 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:

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:

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, which provides useful functions to access the contained data:

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 allows you keep track of user-defined functions and variables, as well as settings. They can be created as follows:

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 and Deserialize.

[dependencies]
num = { version = "<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.