{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# 10 minutes to pandas APIs on Spark\n",
"\n",
"This is a short introduction to pandas APIs on Spark, geared mainly for new users. This notebook shows you some key differences between pandas and pandas APIs on Spark. You can run this examples by yourself on a live notebook [here](https://mybinder.org/v2/gh/pyspark.pandas/master?filepath=docs%2Fsource%2Fgetting_started%2F10min.ipynb). For Databricks Runtime, you can import and run [the current .ipynb file](https://raw.githubusercontent.com/databricks/koalas/master/docs/source/getting_started/10min.ipynb) out of the box. Try it on [Databricks Community Edition](https://community.cloud.databricks.com/) for free.\n",
"\n",
"Customarily, we import pandas APIs on Spark as follows:"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import pyspark.pandas as ks\n",
"from pyspark.sql import SparkSession"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Object Creation\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Creating a pandas-on-Spark Series by passing a list of values, letting pandas APIs on Spark create a default integer index:"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"s = ks.Series([1, 3, 5, np.nan, 6, 8])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 1.0\n",
"1 3.0\n",
"2 5.0\n",
"3 NaN\n",
"4 6.0\n",
"5 8.0\n",
"dtype: float64"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Creating a pandas-on-Spark DataFrame by passing a dict of objects that can be converted to series-like."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"kdf = ks.DataFrame(\n",
" {'a': [1, 2, 3, 4, 5, 6],\n",
" 'b': [100, 200, 300, 400, 500, 600],\n",
" 'c': [\"one\", \"two\", \"three\", \"four\", \"five\", \"six\"]},\n",
" index=[10, 20, 30, 40, 50, 60])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Creating a pandas DataFrame by passing a numpy array, with a datetime index and labeled columns:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"dates = pd.date_range('20130101', periods=6)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2013-01-01', '2013-01-02', '2013-01-03', '2013-01-04',\n",
" '2013-01-05', '2013-01-06'],\n",
" dtype='datetime64[ns]', freq='D')"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dates"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"pdf = pd.DataFrame(np.random.randn(6, 4), index=dates, columns=list('ABCD'))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
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" 2013-01-02 | \n",
" 0.844961 | \n",
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"text/plain": [
" A B C D\n",
"2013-01-01 -0.621429 1.515041 -1.735483 -1.235009\n",
"2013-01-02 0.844961 -0.999771 0.108356 0.109456\n",
"2013-01-03 1.343862 -1.257980 0.099766 -0.137677\n",
"2013-01-04 3.001767 -0.208167 -1.059449 0.312599\n",
"2013-01-05 -0.035864 0.312126 0.252281 0.627551\n",
"2013-01-06 -1.200404 0.276134 -0.344308 -0.367934"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now, this pandas DataFrame can be converted to a pandas-on-Spark DataFrame"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"kdf = ks.from_pandas(pdf)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"pyspark.pandas.frame.DataFrame"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"type(kdf)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It looks and behaves the same as a pandas DataFrame though"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
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"text/plain": [
" A B C D\n",
"2013-01-01 -0.621429 1.515041 -1.735483 -1.235009\n",
"2013-01-02 0.844961 -0.999771 0.108356 0.109456\n",
"2013-01-03 1.343862 -1.257980 0.099766 -0.137677\n",
"2013-01-04 3.001767 -0.208167 -1.059449 0.312599\n",
"2013-01-05 -0.035864 0.312126 0.252281 0.627551\n",
"2013-01-06 -1.200404 0.276134 -0.344308 -0.367934"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Also, it is possible to create a pandas-on-Spark DataFrame from Spark DataFrame. \n",
"\n",
"Creating a Spark DataFrame from pandas DataFrame"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"spark = SparkSession.builder.getOrCreate()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"sdf = spark.createDataFrame(pdf)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"+--------------------+--------------------+--------------------+--------------------+\n",
"| A| B| C| D|\n",
"+--------------------+--------------------+--------------------+--------------------+\n",
"| -0.6214290839748133| 1.5150410562536945| -1.7354827055737831| -1.2350091172431052|\n",
"| 0.8449607212376394| -0.9997705636655247| 0.10835607649858589| 0.1094555359929294|\n",
"| 1.3438622379103737| -1.2579798113362755| 0.0997664833965215|-0.13767658889070905|\n",
"| 3.001767403315059|-0.20816676142436616| -1.0594485090898984| 0.31259853367492724|\n",
"|-0.03586387305407219| 0.3121259401964947| 0.2522808041799677| 0.6275512901423211|\n",
"| -1.2004042904971255| 0.27613400857508563|-0.34430818441482375|-0.36793440398703187|\n",
"+--------------------+--------------------+--------------------+--------------------+\n",
"\n"
]
}
],
"source": [
"sdf.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Creating pandas-on-Spark DataFrame from Spark DataFrame.\n",
"`to_koalas()` is automatically attached to Spark DataFrame and available as an API when pandas APIs on Spark are imported."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"kdf = sdf.to_koalas()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
" A B C D\n",
"0 -0.621429 1.515041 -1.735483 -1.235009\n",
"1 0.844961 -0.999771 0.108356 0.109456\n",
"2 1.343862 -1.257980 0.099766 -0.137677\n",
"3 3.001767 -0.208167 -1.059449 0.312599\n",
"4 -0.035864 0.312126 0.252281 0.627551\n",
"5 -1.200404 0.276134 -0.344308 -0.367934"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Having specific [dtypes](http://pandas.pydata.org/pandas-docs/stable/basics.html#basics-dtypes) . Types that are common to both Spark and pandas are currently supported."
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"A float64\n",
"B float64\n",
"C float64\n",
"D float64\n",
"dtype: object"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.dtypes"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Viewing Data\n",
"\n",
"See the [API Reference](https://koalas.readthedocs.io/en/latest/reference/index.html)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"See the top rows of the frame. The results may not be the same as pandas though: unlike pandas, the data in a Spark dataframe is not _ordered_, it has no intrinsic notion of index. When asked for the head of a dataframe, Spark will just take the requested number of rows from a partition. Do not rely on it to return specific rows, use `.loc` or `iloc` instead."
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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" A B C D\n",
"0 -0.621429 1.515041 -1.735483 -1.235009\n",
"1 0.844961 -0.999771 0.108356 0.109456\n",
"2 1.343862 -1.257980 0.099766 -0.137677\n",
"3 3.001767 -0.208167 -1.059449 0.312599\n",
"4 -0.035864 0.312126 0.252281 0.627551"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Display the index, columns, and the underlying numpy data.\n",
"\n",
"You can also retrieve the index; the index column can be ascribed to a DataFrame, see later"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Int64Index([0, 1, 2, 3, 4, 5], dtype='int64')"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.index"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Index(['A', 'B', 'C', 'D'], dtype='object')"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.columns"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.62142908, 1.51504106, -1.73548271, -1.23500912],\n",
" [ 0.84496072, -0.99977056, 0.10835608, 0.10945554],\n",
" [ 1.34386224, -1.25797981, 0.09976648, -0.13767659],\n",
" [ 3.0017674 , -0.20816676, -1.05944851, 0.31259853],\n",
" [-0.03586387, 0.31212594, 0.2522808 , 0.62755129],\n",
" [-1.20040429, 0.27613401, -0.34430818, -0.3679344 ]])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.to_numpy()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Describe shows a quick statistic summary of your data"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
" A B C D\n",
"count 6.000000 6.000000 6.000000 6.000000\n",
"mean 0.555482 -0.060436 -0.446473 -0.115169\n",
"std 1.517076 1.007223 0.792741 0.648616\n",
"min -1.200404 -1.257980 -1.735483 -1.235009\n",
"25% -0.621429 -0.999771 -1.059449 -0.367934\n",
"50% -0.035864 -0.208167 -0.344308 -0.137677\n",
"75% 1.343862 0.312126 0.108356 0.312599\n",
"max 3.001767 1.515041 0.252281 0.627551"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Transposing your data"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
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"D -1.235009 0.109456 -0.137677 0.312599 0.627551 -0.367934"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.T"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sorting by its index"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
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"0 -0.621429 1.515041 -1.735483 -1.235009"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.sort_index(ascending=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Sorting by value"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
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" A B C D\n",
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"1 0.844961 -0.999771 0.108356 0.109456\n",
"3 3.001767 -0.208167 -1.059449 0.312599\n",
"5 -1.200404 0.276134 -0.344308 -0.367934\n",
"4 -0.035864 0.312126 0.252281 0.627551\n",
"0 -0.621429 1.515041 -1.735483 -1.235009"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.sort_values(by='B')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Missing Data\n",
"Pandas APIs on Spark primarily use the value `np.nan` to represent missing data. It is by default not included in computations. \n"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [],
"source": [
"pdf1 = pdf.reindex(index=dates[0:4], columns=list(pdf.columns) + ['E'])"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"pdf1.loc[dates[0]:dates[1], 'E'] = 1"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"kdf1 = ks.from_pandas(pdf1)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
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" A B C D E\n",
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"2013-01-04 3.001767 -0.208167 -1.059449 0.312599 NaN"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf1"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"To drop any rows that have missing data."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
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"2013-01-02 0.844961 -0.999771 0.108356 0.109456 1.0"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf1.dropna(how='any')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Filling missing data."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
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" A B C D E\n",
"2013-01-01 -0.621429 1.515041 -1.735483 -1.235009 1.0\n",
"2013-01-02 0.844961 -0.999771 0.108356 0.109456 1.0\n",
"2013-01-03 1.343862 -1.257980 0.099766 -0.137677 5.0\n",
"2013-01-04 3.001767 -0.208167 -1.059449 0.312599 5.0"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf1.fillna(value=5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Operations"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Stats\n",
"Operations in general exclude missing data.\n",
"\n",
"Performing a descriptive statistic:"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"A 0.555482\n",
"B -0.060436\n",
"C -0.446473\n",
"D -0.115169\n",
"dtype: float64"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Spark Configurations\n",
"\n",
"Various configurations in PySpark could be applied internally in pandas APIs on Spark.\n",
"For example, you can enable Arrow optimization to hugely speed up internal pandas conversion. See PySpark Usage Guide for Pandas with Apache Arrow."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"prev = spark.conf.get(\"spark.sql.execution.arrow.enabled\") # Keep its default value.\n",
"ks.set_option(\"compute.default_index_type\", \"distributed\") # Use default index prevent overhead.\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\") # Ignore warnings coming from Arrow optimizations."
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"311 ms ± 30.2 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"spark.conf.set(\"spark.sql.execution.arrow.enabled\", True)\n",
"%timeit ks.range(300000).to_pandas()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1.25 s ± 29.7 ms per loop (mean ± std. dev. of 7 runs, 1 loop each)\n"
]
}
],
"source": [
"spark.conf.set(\"spark.sql.execution.arrow.enabled\", False)\n",
"%timeit ks.range(300000).to_pandas()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"ks.reset_option(\"compute.default_index_type\")\n",
"spark.conf.set(\"spark.sql.execution.arrow.enabled\", prev) # Set its default value back."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Grouping\n",
"By “group by” we are referring to a process involving one or more of the following steps:\n",
"\n",
"- Splitting the data into groups based on some criteria\n",
"- Applying a function to each group independently\n",
"- Combining the results into a data structure"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"kdf = ks.DataFrame({'A': ['foo', 'bar', 'foo', 'bar',\n",
" 'foo', 'bar', 'foo', 'foo'],\n",
" 'B': ['one', 'one', 'two', 'three',\n",
" 'two', 'two', 'one', 'three'],\n",
" 'C': np.random.randn(8),\n",
" 'D': np.random.randn(8)})"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
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"3 bar three -1.776986 -0.092022\n",
"4 foo two -0.499332 0.463287\n",
"5 bar two 0.386921 1.995358\n",
"6 foo one -0.514731 1.042816\n",
"7 foo three 0.194186 1.745033"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Grouping and then applying the [sum()](https://koalas.readthedocs.io/en/latest/reference/api/pyspark.pandas.groupby.GroupBy.sum.html#databricks.koalas.groupby.GroupBy.sum) function to the resulting groups."
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
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"source": [
"kdf.groupby('A').sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Grouping by multiple columns forms a hierarchical index, and again we can apply the sum function."
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
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"foo one -0.122637 0.844931\n",
" two -2.182467 0.252681\n",
"bar three -1.776986 -0.092022\n",
"foo three 0.194186 1.745033\n",
"bar two 0.386921 1.995358\n",
" one 0.397240 0.768301"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.groupby(['A', 'B']).sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting\n",
"See the Plotting docs."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [],
"source": [
"pser = pd.Series(np.random.randn(1000),\n",
" index=pd.date_range('1/1/2000', periods=1000))"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [],
"source": [
"kser = ks.Series(pser)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [],
"source": [
"kser = kser.cummax()"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
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"### CSV\n",
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"### Parquet\n",
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"### Spark IO\n",
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" \n",
" 7 | \n",
" 1.498758 | \n",
" 1.534086 | \n",
" 0.904636 | \n",
" 0.856176 | \n",
"
\n",
" \n",
" 8 | \n",
" 1.498758 | \n",
" 1.534086 | \n",
" 0.904636 | \n",
" 0.856176 | \n",
"
\n",
" \n",
" 9 | \n",
" 1.498758 | \n",
" 1.534086 | \n",
" 0.904636 | \n",
" 1.532448 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" A B C D\n",
"0 -0.821342 -0.325142 0.904636 -0.925984\n",
"1 1.498758 0.045747 0.904636 0.726606\n",
"2 1.498758 0.045747 0.904636 0.726606\n",
"3 1.498758 1.534086 0.904636 0.726606\n",
"4 1.498758 1.534086 0.904636 0.726606\n",
"5 1.498758 1.534086 0.904636 0.726606\n",
"6 1.498758 1.534086 0.904636 0.726606\n",
"7 1.498758 1.534086 0.904636 0.856176\n",
"8 1.498758 1.534086 0.904636 0.856176\n",
"9 1.498758 1.534086 0.904636 1.532448"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"kdf.to_spark_io('zoo.orc', format=\"orc\")\n",
"ks.read_spark_io('zoo.orc', format=\"orc\").head(10)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.7.8"
}
},
"nbformat": 4,
"nbformat_minor": 1
}