equid 0.1.2

Solving library for simultaneous equations and inequalities

equid

下の方に日本語の説明があります

Overview

• Solving library for simultaneous equations and inequalities

Usage

import equid as eq

# Example of solving an equation
res = eq.solve(cond = (eq.x + 3 == 5))
print(res)	# -> {"x": 2.0}

# Inequalities and series are also possible. If there is more than one solution, one is randomly chosen.
cond = (
	(eq.x + 2 == eq.y) &
	(eq.x >= 10)
)
res = eq.solve(cond = cond)
print(res)	# -> e.g. {"x": 10.0, "y": 12.0}

# Assign
print((eq.x + 5).fix(x = 3))	# -> 8
print((5 + eq.x + eq.y).fix(x = 3))	# -> (+ 8 (var y))

# Mathematical programming (find the one with the smallest loss among those satisfying cond)
res = eq.solve(cond = (3 * eq.x - eq.y == 0),
	loss = (eq.y - 1) ** 2)
print(res)	# -> {"x": 0.333, "y": 1}

# convert to javascript code
print(eq.to_js((3 + eq.x) ** 2))	# -> Running "(OUTPUT_STR({x: 1}))" in javascript will output 16.

# Algorithmic differentiation (automatic differentiation)
print((eq.x ** 2).diff("x")) # -> (* 2 (var x))

# Interconversion between json format and equid object
formula = (3 + eq.x) ** 2
print(formula.to_json())	# -> ["**", ["+", 3, ["var", "x"]], 2]
print(eq.from_json('["**", ["+", 3, ["var", "x"]], 2]'))	# -> Formula object

Advanced Usage

# 執筆中 (under_construction)

概略

• 連立方程式/不等式の求解ライブラリ

利用例

import equid as eq

# 方程式を解く例
res = eq.solve(cond = (eq.x + 3 == 5))
print(res)	# -> {"x": 2.0}

# 不等式・連立もできる。解が複数あるときはひとつ選ばれる
cond = (
	(eq.x + 2 == eq.y) &
	(eq.x >= 10)
)
res = eq.solve(cond = cond)
print(res)	# -> 例えば{"x": 10.0, "y": 12.0}

# 代入
print((eq.x + 5).fix(x = 3))	# -> 8
print((5 + eq.x + eq.y).fix(x = 3))	# -> (+ 8 (var y))

# 数理計画 (condを満たす中でlossが最小のものを見つける)
res = eq.solve(cond = (3 * eq.x - eq.y == 0),
	loss = (eq.y - 1) ** 2)
print(res)	# -> {"x": 0.333, "y": 1}

# javascriptコードに変換
print(eq.to_js((3 + eq.x) ** 2))	# -> 「(出てきた文字列)({x: 1})」をjavascriptで実行すると16を出力する

# アルゴリズム的微分 (自動微分)
print((eq.x ** 2).diff("x")) # -> (* 2 (var x))

# json形式とequidオブジェクトの相互変換
formula = (3 + eq.x) ** 2
print(formula.to_json())	# -> ["**", ["+", 3, ["var", "x"]], 2]
print(eq.from_json('["**", ["+", 3, ["var", "x"]], 2]'))	# -> Formula object

発展的な利用例

# 執筆中 (under_construction)