233 lines
120 KiB
Plaintext
233 lines
120 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"id": "b5867788",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import random\n",
|
|
"import time\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"import numpy as np"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"id": "ba84224d",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"class Point:\n",
|
|
" x: float\n",
|
|
" y: float\n",
|
|
"\n",
|
|
" def __init__(self, point: (float, float)):\n",
|
|
" self.x, self.y = point\n",
|
|
"\n",
|
|
"\n",
|
|
"class LinearBounds:\n",
|
|
" lower: float\n",
|
|
" higher: float\n",
|
|
"\n",
|
|
" def __init__(self, lower: float, higher: float):\n",
|
|
" self.lower = lower\n",
|
|
" self.higher = higher\n",
|
|
"\n",
|
|
" def length(self) -> float:\n",
|
|
" return self.higher - self.lower\n",
|
|
"\n",
|
|
" def get_random_value(self) -> float:\n",
|
|
" return random.uniform(self.lower, self.higher)\n",
|
|
"\n",
|
|
"\n",
|
|
"class Bounds:\n",
|
|
" x: LinearBounds\n",
|
|
" y: LinearBounds\n",
|
|
"\n",
|
|
" def __init__(self, x: LinearBounds, y: LinearBounds):\n",
|
|
" self.x = x\n",
|
|
" self.y = y\n",
|
|
"\n",
|
|
" def area(self) -> float:\n",
|
|
" return self.x.length() * self.y.length()\n",
|
|
"\n",
|
|
" def get_random_point(self) -> Point:\n",
|
|
" return Point((self.x.get_random_value(), self.y.get_random_value()))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"id": "2120dbad",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def getRealIntegral(f, bounds: LinearBounds) -> float:\n",
|
|
" return np.pi"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"id": "bdc2240a",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def getIsInside(p: Point) -> bool:\n",
|
|
" if p.x**2 + p.y**2 <= 1:\n",
|
|
" return True\n",
|
|
" return False"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"id": "d3f58a1f",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"def function(x: float) -> float:\n",
|
|
" return np.sqrt(1 - x**2)\n",
|
|
"\n",
|
|
"bounds = Bounds(LinearBounds(-1.25, 1.25), LinearBounds(-1.25, 1.25))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"id": "e00e9ced",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/tmp/ipykernel_2674/2110725246.py:2: RuntimeWarning: invalid value encountered in sqrt\n",
|
|
" return np.sqrt(1 - x**2)\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0xffff69a5c310>]"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"fig, axs = plt.subplot_mosaic([['linear-linear']], layout='constrained')\n",
|
|
"ax = axs['linear-linear']\n",
|
|
"ax.set_xscale('linear')\n",
|
|
"ax.set_yscale('linear')\n",
|
|
"ax.set_xlabel('x')\n",
|
|
"ax.set_ylabel('f')\n",
|
|
"ax.set_box_aspect(1)\n",
|
|
"samples = np.linspace(bounds.x.lower, bounds.x.higher, 5000)\n",
|
|
"\n",
|
|
"ax.plot(samples, function(samples), color=\"blue\", linewidth=3)\n",
|
|
"ax.plot(samples, -function(samples), color=\"blue\", linewidth=3)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"id": "93672263",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"The approximated Integral of the function is: 3.15625\n",
|
|
"The real Integral of the function is: 3.14159\n",
|
|
"That's an error of 0.01 or 0.46656% \n",
|
|
"And the whole thing took 0.50002 Seconds for 1000 samples\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"startTime = time.time()\n",
|
|
"pointsInside: int = 0\n",
|
|
"samples: int = 10**3\n",
|
|
"\n",
|
|
"for i in range(samples):\n",
|
|
" toTestPoint = bounds.get_random_point()\n",
|
|
" if getIsInside(toTestPoint):\n",
|
|
" pointsInside += 1\n",
|
|
" ax.plot(toTestPoint.x, toTestPoint.y, \"o\", color=\"limegreen\")\n",
|
|
" else:\n",
|
|
" ax.plot(toTestPoint.x, toTestPoint.y, \"ro\")\n",
|
|
"\n",
|
|
"integral = (pointsInside / samples) * bounds.area()\n",
|
|
"print(f\"The approximated Integral of the function is: {integral:.5f}\")\n",
|
|
"\n",
|
|
"real_value: float = getRealIntegral(function, bounds.x)\n",
|
|
"print(f\"The real Integral of the function is: {real_value:.5f}\")\n",
|
|
"\n",
|
|
"error: float = abs(real_value-integral)\n",
|
|
"print(f\"That's an error of {error:.2f} or {(error/real_value)*100:.5f}% \")\n",
|
|
"\n",
|
|
"print(f\"And the whole thing took {time.time()-startTime:.5f} Seconds for {samples} samples\")\n",
|
|
"\n",
|
|
"fig"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"id": "ce2f249e",
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.11.4"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|