Muscat
A simple pure elixir equation solver by augmented matrix.
Installation
def deps do
[
{:muscat, "~> 0.2"}
]
end
Usage
Very simple ! For example, To solve this equation:
- Create a augmented matrix by:
coefficient_matrix_parameter = [[1, 2, 3], [3, 4, 7], [6, 5, 9]]
constant_column = [0, 2, 11]
Muscat.new(coefficient_matrix_parameter, constant_column)
Or
augmented_matrix_parameter = [[1, 2, 3, 0], [3, 4, 7, 2], [6, 5, 9, 11]]
Muscat.new(augmented_matrix_parameter)
- Run
rref/1
orrref/2
to solve the equation:
Muscat.rref(augmented_matrix)
#=> {:ok, [4, 1, -2]}
Fraction
Muscat.new/1
and Muscat.new/2
support fraction value in parameters:
Muscat.new([{1, 2}, 1])
{1, 2}
means 1/2
, the first element in tuple is numerator
and the second one is denominator
.
Muscat.Fraction
also provides some simple fraction calculation rules. See more details in the module doc.
Targets
- [x] a unique solution
- [ ] infinite solutions
- [ ] approximate solutions