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# computorv2
Calculator REPL
## Types
| Name | Letter | Example |
|----------|--------|----------------------|
| Rational | Q | `1.5` |
| Complex | C | `1.5i + 1.5` |
| Matrix | M | `[ [1, 2]; [3, 4] ]` |
Imaginary number are converted to Complex.
## Operations
* `+` Addition
* `-` Substraction
* `*` Multiplication
* `/` Division
* `%` Modulo
* `^` Exponent
* `**` Matrix multiplication
| | Q | C | M |
|---|------------------------------|-------------------------|---------------------|
| Q | `+`, `-`, `*`, `/`, `^`, `%` | `+`, `-`, `*`, `/`, `^` | `*` |
| C | | `+`, `-`, `*`, `/`, `^` | `*` |
| M | | | `**`, `+`, `-`, `*` |
## Expressions
* Declaration
* Variable
* Function (with one parameter)
* Evaluation
### Examples
```
> a = 1 + 3
4
> f(x) = x * 2
x * 2
> a = ?
4
> f(4) = ?
16
> f(4) + a + 5 = ?
25
```
Uses eager evaluation, variable value is known after assignment, function value is reduced to the maximum (except for parameter).
```
> a = 3
3
> b = a + 3
6
> f(x) = 2 * 3 * 4 * x
24 * x
```
## TODO
- [ ] Reduce functions expression
- [ ] `i` is not a valid label name
- [ ] Check if matrix are rectangular
- [ ] Polynomial detection and resolution
- [ ] More operators
- Bonus
- [ ] Better error message
- [ ] Builtin functions (sin, cos, ...)
- [ ] Add realline library
- [ ] Command to print environment
|
