Pythagore - Python

Pythagore is a Python package for computing mathematical problems using trigonometry, linear algebra, calculus, etc. It provides several mathematical tools and libraries for programming problems in different areas such as science, engineering, finance, and computer graphics.

Features

Trigonometry

Pythagore provides a set of functions for computing trigonometric values (sine, cosine, tangent, etc.) of angles in radians and degrees.

import pythagore.trigonometry as trig

sine_value = trig.sin(0.5)  # 0.4794255386042
cosine_value = trig.cos(1.2) # 0.36235775447667
tangent_value = trig.tan(1.5) # -14.101419947171719

Linear Algebra

Pythagore provides linear algebra functions and libraries for solving systems of linear equations, matrix multiplication, and eigenvalues and eigenvectors calculation.

import pythagore.linear_algebra as la

matrix_a = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
matrix_b = [[1, 0, 0], [0, 1, 0], [0, 0, 1]]

matrix_product = la.matrix_product(matrix_a, matrix_b)
determinant_value = la.determinant(matrix_a)
solution_set = la.solve(matrix_a, [1, 2, 3])

Calculus

Pythagore provides a set of functions and libraries for computing limits, derivatives, and integrals of mathematical expressions.

import pythagore.calculus as calc

expression = 'x**2 + 2 * x + 3'
limit_value = calc.limit(expression, 1)
derivative_value = calc.derivative(expression, 2)
integral_value = calc.integral(expression, 0, 2)

Finance

Pythagore provides financial functions and libraries for computing financial values such as present value, future value, net present value, internal rate of return, etc.

import pythagore.finance as fin

pv_value = fin.present_value(0.1, 10, 1000)
fv_value = fin.future_value(0.1, 10, 1000)
npv_value = fin.net_present_value([100, 200, 300, 400], [0.1, 0.1, 0.1, 0.1], 1000)
irr_value = fin.internal_rate_of_return([-1000, 200, 400, 600, 800, 1000])

Computer Graphics

Pythagore provides computer graphics libraries for 2D and 3D graphics, including geometric transformations, camera projections, shading, and animation.

import pythagore.graphics as graph

cube_vertices = [(0, 0, 0), (1, 0, 0), (1, 1, 0), (0, 1, 0), (0, 0, 1), (1, 0, 1), (1, 1, 1), (0, 1, 1)]
cube_faces = [(0, 1, 2, 3), (0, 4, 5, 1), (1, 5, 6, 2), (2, 6, 7, 3), (3, 7, 4, 0), (4, 7, 6, 5)]

graph.draw_polyhedron(cube_vertices, cube_faces)

Getting Started

Pythagore can be installed using pip:

pip install pythagore

After installing Pythagore, you can import the desired library or module and use its functions and classes in your code.

import pythagore.trigonometry as trig

sine_value = trig.sin(0.5)

Conclusion

Pythagore is a powerful mathematical library for Python that provides a broad range of tools and functions for solving problems in different areas of mathematics and computer science. It simplifies complex mathematical problems and increases programmer productivity by providing a wider range of mathematical tools and functions.