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Wrote Grid Notebook #358

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Merged
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Mar 18, 2017
Merged

Wrote Grid Notebook #358

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177 changes: 170 additions & 7 deletions grid.ipynb
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Original file line number Diff line number Diff line change
@@ -1,26 +1,189 @@
{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"source": [
"# Grid\n",
"\n",
"The functions here are used often when dealing with 2D grids (like in TicTacToe).\n",
"\n",
"### Distance\n",
"\n",
"The function returns the Euclidean Distance between two points in the 2D space."
]
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 6,
"metadata": {
"collapsed": false
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"import grid\n",
"import math\n",
"\n",
"print(grid.distance_squared((1, 2), (5, 5)))"
"def distance(a, b):\n",
" \"\"\"The distance between two (x, y) points.\"\"\"\n",
" return math.hypot((a[0] - b[0]), (a[1] - b[1]))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"For example:"
]
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 7,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5.0\n"
]
}
],
"source": [
"print(distance((1, 2), (5, 5)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"### Distance Squared\n",
"\n",
"This function returns the square of the distance between two points."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": true,
"deletable": true,
"editable": true
},
"outputs": [],
"source": [
"def distance_squared(a, b):\n",
" \"\"\"The square of the distance between two (x, y) points.\"\"\"\n",
" return (a[0] - b[0])**2 + (a[1] - b[1])**2"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"For example:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"deletable": true,
"editable": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"25\n"
]
}
],
"source": [
"print(distance_squared((1, 2), (5, 5)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"deletable": true,
"editable": true
},
"source": [
"### Vector Clip\n",
"\n",
"With this function we can make sure the values of a vector are within a given range. It takes as arguments three vectors: the vector to clip (`vector`), a vector containing the lowest values allowed (`lowest`) and a vector for the highest values (`highest`). All these vectors are of the same length. If a value `v1` in `vector` is lower than the corresponding value `v2` in `lowest`, then we set `v1` to `v2`. Similarly we \"clip\" the values exceeding the `highest` values."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
"source": [
"from utils import clip\n",
"\n",
"def vector_clip(vector, lowest, highest):\n",
" \"\"\"Return vector, except if any element is less than the corresponding\n",
" value of lowest or more than the corresponding value of highest, clip to\n",
" those values.\"\"\"\n",
" return type(vector)(map(clip, vector, lowest, highest))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For example:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(0, 9)\n"
]
}
],
"source": [
"print(vector_clip((-1, 10), (0, 0), (9, 9)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The vector we wanted to clip was the tuple (-1, 10). The lowest allowed values were (0, 0) and the highest (9, 9). So, the result is the tuple (0,9)."
]
}
],
"metadata": {
Expand All @@ -39,7 +202,7 @@
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.1"
"version": "3.5.2"
}
},
"nbformat": 4,
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