Add cool function

4 files changed, 1184 insertions, 0 deletions

diff --git a/backend/.gitignore b/backend/.gitignore
new file mode 100644
index 0000000..16cd44d
--- /dev/null
+++ b/backend/.gitignore
@@ -0,0 +1,6 @@
+__pycache__/
+*.pyc
+*.pyo
+
+.venv/
+.env
\ No newline at end of file
diff --git a/backend/main.py b/backend/main.py
new file mode 100644
index 0000000..6cbea83
--- /dev/null
+++ b/backend/main.py
@@ -0,0 +1,169 @@
+from fastapi import FastAPI
+from fastapi.middleware.cors import CORSMiddleware
+import random
+from copy import deepcopy
+
+app = FastAPI(
+    title="Lambda Calculus",
+)
+
+app.add_middleware(
+    CORSMiddleware,
+    allow_origins=["*"],
+    allow_credentials=True,
+    allow_methods=["*"],
+    allow_headers=["*"],
+)
+
+LAMBDA = "\u03BB"
+
+class LambdaExpression:
+    def __init__(self):
+        pass
+
+    def evaluate(self, x):
+        return x
+    
+    def __str__(self):
+        pass
+    
+class Application(LambdaExpression):
+    def __init__(self, exp1, exp2):
+        self.exp1 = exp1
+        self.exp2 = exp2
+
+    def evaluate(self, x):
+        return super().evaluate(x)
+    
+    def __str__(self):
+        return f"({self.exp1}{self.exp2})" if type(self.exp2) == Variable else f"{self.exp1}{self.exp2}"
+
+    def __repr__(self) -> str:
+        return f"Application({repr(self.exp1)}, {repr(self.exp2)})"
+
+    
+class Variable(LambdaExpression):
+    def __init__(self, value):
+        self.value = value
+    
+    def evaluate(self, x):
+        return Variable(x)
+    
+    def __str__(self):
+        return self.value
+
+    def __repr__(self) -> str:
+        return f"Variable({repr(self.value)})"
+    
+class Abstraction(LambdaExpression):
+    def __init__(self, value, exp):
+        self.value = value
+        self.exp = exp
+
+    def evaluate(self, x):
+        return Abstraction(self.value, self.exp.evaluate(x))
+    
+    def __str__(self):
+        return f"{LAMBDA}{self.value}.{self.exp}"
+
+    def __repr__(self) -> str:
+        return f"Abstraction({repr(self.value)}, {repr(self.exp)})"
+
+def preform_bidmas(expression:str) -> list[str]:
+
+    expression = expression.replace(")", "\"],\"")
+    expression = expression.replace("(", "\",[\"")
+    expression = expression[2:-2]
+    expression = expression.replace("\"\",", "")
+    expression = expression.replace(",\"\"", "")
+    expression = eval(expression)
+
+    return expression
+    
+
+def parse_expression(expression_list: list[str]) -> LambdaExpression:
+    if len(expression_list) == 1 and len(expression_list[0]) == 1:
+        expression_list = expression_list[0]
+    if LAMBDA in expression_list[0]:
+        value, *exp = expression_list[0][1:].split(".")
+        exp = ".".join(exp)
+        return Abstraction(value, parse_expression([exp]))
+    if len(expression_list) == 1:
+        if len(expression_list[0]) == 1:
+
+            return Variable(expression_list[0][0])
+        elif type(expression_list) == str:
+            if LAMBDA in expression_list:
+                value, *exp = expression_list[1:].split(".")
+                exp = ".".join(exp)
+                return Abstraction(value, parse_expression([exp]))
+
+            return parse_expression(expression_list.split(""))
+        else:
+            return parse_expression(expression_list[0])
+
+
+    return Application(parse_expression(expression_list[:-1]), parse_expression(expression_list[-1]))
+
+def beta_reduction(expression: LambdaExpression) -> LambdaExpression:
+    def _substitute(expression: LambdaExpression, value: str, exp: LambdaExpression) -> LambdaExpression:
+        if type(expression) == Variable:
+            if expression.value == value:
+                return exp
+            else:
+                return expression
+        elif type(expression) == Application:
+            return Application(_substitute(expression.exp1, value, exp), _substitute(expression.exp2, value, exp))
+        elif type(expression) == Abstraction:
+            if expression.value == value:
+                return expression
+            else:
+                return Abstraction(expression.value, _substitute(expression.exp, value, exp))
+    # base case
+    if type(expression) == Variable:
+        return expression
+    elif type(expression) == Application:
+        if type(expression.exp1) == Abstraction:
+            return _substitute(expression.exp1.exp, expression.exp1.value, expression.exp2)
+        else:
+            return Application(beta_reduction(expression.exp1), beta_reduction(expression.exp2))
+    elif type(expression) == Abstraction:
+        return Abstraction(expression.value, beta_reduction(expression.exp))
+
+def free_variables(max_length) -> chr:
+    for i in range(97, 123):
+        yield chr(i)
+
+vars = free_variables(5)
+
+def random_lambda_expression(depth: int, set_free_variables: set[chr]) -> LambdaExpression:
+    if depth == 0:
+        return Variable(random.choice(set_free_variables))
+    else:
+        if random.random() < 0.3:
+            return Variable(random.choice(set_free_variables))
+        elif random.random() < 0.8:
+            return Application(random_lambda_expression(depth-1, set_free_variables), random_lambda_expression(depth-1, set_free_variables))
+        else:
+            new_free_variable = random.choice(set_free_variables)
+            return Abstraction(new_free_variable, random_lambda_expression(depth-1, set_free_variables))
+        
+def get_beta_steps(expression: LambdaExpression, steps: int) -> LambdaExpression:
+    expressions = [str(expression)]
+    for i in range(steps):
+        expression = beta_reduction(expression)
+        expressions.append(str(expression))
+    return expressions
+
+@app.post("/evaluate")
+async def evaluate(expression: str):
+    expression_list = preform_bidmas(expression)
+    expression = parse_expression(expression_list)
+    for i in range(100):
+        expression = beta_reduction(expression)
+    return {"expression": str(expression)}
+
+@app.get("/random")
+async def random_expression():
+    expression = random_lambda_expression(10, [chr(i) for i in range(97, 123)][:5])
+    return {"steps": get_beta_steps(expression, 4), "expression": str(expression)}
\ No newline at end of file
diff --git a/backend/poetry.lock b/backend/poetry.lock
new file mode 100644
index 0000000..80a70a1
--- /dev/null
+++ b/backend/poetry.lock
@@ -0,0 +1,994 @@
+# This file is automatically @generated by Poetry 1.8.3 and should not be changed by hand.
+
+[[package]]
+name = "annotated-types"
+version = "0.7.0"
+description = "Reusable constraint types to use with typing.Annotated"
+optional = false
+python-versions = ">=3.8"
+files = [
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+]
+
+[[package]]
+name = "anyio"
+version = "4.6.2.post1"
+description = "High level compatibility layer for multiple asynchronous event loop implementations"
+optional = false
+python-versions = ">=3.9"
+files = [
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+]
+
+[package.dependencies]
+exceptiongroup = {version = ">=1.0.2", markers = "python_version < \"3.11\""}
+idna = ">=2.8"
+sniffio = ">=1.1"
+typing-extensions = {version = ">=4.1", markers = "python_version < \"3.11\""}
+
+[package.extras]
+doc = ["Sphinx (>=7.4,<8.0)", "packaging", "sphinx-autodoc-typehints (>=1.2.0)", "sphinx-rtd-theme"]
+test = ["anyio[trio]", "coverage[toml] (>=7)", "exceptiongroup (>=1.2.0)", "hypothesis (>=4.0)", "psutil (>=5.9)", "pytest (>=7.0)", "pytest-mock (>=3.6.1)", "trustme", "truststore (>=0.9.1)", "uvloop (>=0.21.0b1)"]
+trio = ["trio (>=0.26.1)"]
+
+[[package]]
+name = "certifi"
+version = "2024.8.30"
+description = "Python package for providing Mozilla's CA Bundle."
+optional = false
+python-versions = ">=3.6"
+files = [
+    {file = "certifi-2024.8.30-py3-none-any.whl", hash = "sha256:922820b53db7a7257ffbda3f597266d435245903d80737e34f8a45ff3e3230d8"},
+    {file = "certifi-2024.8.30.tar.gz", hash = "sha256:bec941d2aa8195e248a60b31ff9f0558284cf01a52591ceda73ea9afffd69fd9"},
+]
+
+[[package]]
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+version = "8.1.7"
+description = "Composable command line interface toolkit"
+optional = false
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+
+[package.dependencies]
+colorama = {version = "*", markers = "platform_system == \"Windows\""}
+
+[[package]]
+name = "colorama"
+version = "0.4.6"
+description = "Cross-platform colored terminal text."
+optional = false
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+
+[[package]]
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+version = "2.7.0"
+description = "DNS toolkit"
+optional = false
+python-versions = ">=3.9"
+files = [
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+idna = ["idna (>=3.7)"]
+trio = ["trio (>=0.23)"]
+wmi = ["wmi (>=1.5.1)"]
+
+[[package]]
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+version = "2.2.0"
+description = "A robust email address syntax and deliverability validation library."
+optional = false
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+
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+[metadata]
+lock-version = "2.0"
+python-versions = "^3.10"
+content-hash = "cd5e00ea5bcd98af3d72353fdfe4ff535b0b0545a9ecbb5d083f442486642160"
diff --git a/backend/pyproject.toml b/backend/pyproject.toml
new file mode 100644
index 0000000..45cac92
--- /dev/null
+++ b/backend/pyproject.toml
@@ -0,0 +1,15 @@
+[tool.poetry]
+name = "backend"
+version = "0.1.0"
+description = ""
+authors = ["RogerGabeller-ml <78610776+RogerGabeller-ml@users.noreply.github.com>"]
+readme = "README.md"
+
+[tool.poetry.dependencies]
+python = "^3.10"
+fastapi = {extras = ["standard"], version = "^0.115.3"}
+
+
+[build-system]
+requires = ["poetry-core"]
+build-backend = "poetry.core.masonry.api"