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@leftaroundabout
Created June 9, 2017 11:23
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import Diagrams.Prelude\n",
"import Control.Monad\n",
"import Data.Bits (xor)"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"k = round $ logBase 2 16\n",
"n = 2^k"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"DFT\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"diagram $ mconcat [ fromVertices [p2 (0,y₀), p2 (n,y₁)]\n",
" | [y₀,y₁] <- replicateM 2 [0..n-1] ]"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"FFT\n",
"---"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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"
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"diagram $ hsep 0 [ mconcat [\n",
" fromVertices [p2 (0,fromIntegral y₀), p2 (4, fromIntegral y₁)]\n",
" | y₀ <- [0..n-1], y₁ <- [y₀, y₀`xor`2^o] ] | o <- [0..k-1] ]"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Haskell",
"language": "haskell",
"name": "haskell"
},
"language_info": {
"codemirror_mode": "ihaskell",
"file_extension": ".hs",
"name": "haskell",
"version": "7.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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