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@hugohadfield
Created November 17, 2017 16:25
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Speed of Clifford library with original implementation of __mul__
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This notebook marks the performance of the clifford package with the np.dot(value,np.dot(mult_table,other.value)) product implementation"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import clifford as cf\n",
"import numpy as np\n",
"import timeit\n",
"layout,blades = cf.Cl(5)\n",
"n_dims = len(layout.blades)+1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"65.9 µs ± 728 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit \n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))*cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"67.1 µs ± 671 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))|cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"66.2 µs ± 531 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))^cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now lets see how it performs with 5d conformal ga"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"layout,blades = cf.Cl(4,1)\n",
"n_dims = len(layout.blades)+1"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"67.4 µs ± 691 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit \n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))*cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"66.1 µs ± 359 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))|cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"66.1 µs ± 351 ns per loop (mean ± std. dev. of 7 runs, 10000 loops each)\n"
]
}
],
"source": [
"%%timeit\n",
"cf.MultiVector(layout,value=np.random.rand(n_dims))^cf.MultiVector(layout,value=np.random.rand(n_dims))"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
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"nbformat_minor": 2
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