{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Export Plot to SVG, PDF, HTML, PNG\n", "\n", "1. [Export Using `ggsave()`](#1.-Export-Using-`ggsave()`)\n", " - [Export SVG to file](#Export-SVG-to-file)\n", " - [Export PDF to file](#Export-PDF-to-file)\n", " - [Export HTML to file](#Export-HTML-to-file)\n", " - [Export to PNG file](#Export-to-PNG-file)\n", "2. [Export Plot to a File or File-Like Object](#2.-Export-Plot-to-a-File-or-File-Like-Object)\n", " - [Saving to a File](#Saving-to-a-File)\n", " - [Wrighting to a Stream of In-Memory Bytes](#Wrighting-to-a-Stream-of-In-Memory-Bytes)\n", "3. [Parameter `dpi`](#3.-Parameter-dpi)\n", " - [72 dpi](#72-dpi)\n", " - [300 dpi](#300-dpi)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.368827Z", "iopub.status.busy": "2024-04-17T07:27:31.368307Z", "iopub.status.idle": "2024-04-17T07:27:31.682667Z", "shell.execute_reply": "2024-04-17T07:27:31.682344Z" } }, "outputs": [], "source": [ "import io\n", "\n", "import numpy as np\n", "import pandas as pd\n", "\n", "from lets_plot import *" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.684124Z", "iopub.status.busy": "2024-04-17T07:27:31.683987Z", "iopub.status.idle": "2024-04-17T07:27:31.686686Z", "shell.execute_reply": "2024-04-17T07:27:31.686425Z" } }, "outputs": [ { "data": { "text/html": [ "\n", "
\n", " \n", " " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "LetsPlot.setup_html()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.699917Z", "iopub.status.busy": "2024-04-17T07:27:31.699522Z", "iopub.status.idle": "2024-04-17T07:27:31.840930Z", "shell.execute_reply": "2024-04-17T07:27:31.840511Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(150, 5)\n" ] }, { "data": { "text/html": [ "
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 setosa\n", "1 4.9 3.0 1.4 0.2 setosa\n", "2 4.7 3.2 1.3 0.2 setosa\n", "3 4.6 3.1 1.5 0.2 setosa\n", "4 5.0 3.6 1.4 0.2 setosa" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv(\"https://raw.githubusercontent.com/JetBrains/lets-plot-docs/master/data/iris.csv\")\n", "print(df.shape)\n", "df.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.842018Z", "iopub.status.busy": "2024-04-17T07:27:31.841933Z", "iopub.status.idle": "2024-04-17T07:27:31.873638Z", "shell.execute_reply": "2024-04-17T07:27:31.873378Z" } }, "outputs": [ { "data": { "text/html": [ "
\n", " " ], "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "p = ggplot(df) + geom_point(aes(\"petal_length\", \"petal_width\", color=\"species\"), size=5) + ggsize(600, 400)\n", "p" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Export Using `ggsave()`\n", "\n", "The `ggsave()` function is an easy way to export plot to a file in SVG, PDF, HTML or PNG formats." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Export SVG to file" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.874792Z", "iopub.status.busy": "2024-04-17T07:27:31.874704Z", "iopub.status.idle": "2024-04-17T07:27:31.881155Z", "shell.execute_reply": "2024-04-17T07:27:31.880955Z" } }, "outputs": [], "source": [ "fullpath_svg = ggsave(p, \"plot.svg\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load and display saved SVG." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.882221Z", "iopub.status.busy": "2024-04-17T07:27:31.882072Z", "iopub.status.idle": "2024-04-17T07:27:31.893551Z", "shell.execute_reply": "2024-04-17T07:27:31.893358Z" } }, "outputs": [ { "data": { 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\n", " \n", " 1.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " 2.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 2.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " petal_width\n", " \n", " \n", " \n", " \n", " petal_length\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " species\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " setosa\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " versicolor\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " virginica\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "" ], "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import SVG\n", "\n", "SVG(filename=fullpath_svg)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Export PDF to file" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:31.894545Z", "iopub.status.busy": "2024-04-17T07:27:31.894448Z", "iopub.status.idle": "2024-04-17T07:27:32.041607Z", "shell.execute_reply": "2024-04-17T07:27:32.041279Z" } }, "outputs": [], "source": [ "fullpath_pdf = ggsave(p, \"plot.pdf\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load and display saved PDF." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.043045Z", "iopub.status.busy": "2024-04-17T07:27:32.042901Z", "iopub.status.idle": "2024-04-17T07:27:32.045244Z", "shell.execute_reply": "2024-04-17T07:27:32.044861Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from os import getcwd\n", "from IPython.display import IFrame\n", "\n", "IFrame(fullpath_pdf.replace(getcwd(), \".\"), width=600, height=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Export HTML to file\n", "\n", "By default, when exporting HTML, `ggsave` wraps the HTML of the plot in an `iframe` that matches the size of the plot." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.046546Z", "iopub.status.busy": "2024-04-17T07:27:32.046342Z", "iopub.status.idle": "2024-04-17T07:27:32.051481Z", "shell.execute_reply": "2024-04-17T07:27:32.051293Z" } }, "outputs": [], "source": [ "fullpath_html = ggsave(p, \"plot.html\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load and display saved HTML." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.052698Z", "iopub.status.busy": "2024-04-17T07:27:32.052508Z", "iopub.status.idle": "2024-04-17T07:27:32.054355Z", "shell.execute_reply": "2024-04-17T07:27:32.054185Z" } }, "outputs": [ { "data": { "text/html": [ " " ], "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import HTML\n", "\n", "HTML(filename=fullpath_html)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use the `iframe=False` option to only export the HTML of the plot, without adding an `iframe`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.055282Z", "iopub.status.busy": "2024-04-17T07:27:32.055126Z", "iopub.status.idle": "2024-04-17T07:27:32.057968Z", "shell.execute_reply": "2024-04-17T07:27:32.057786Z" } }, "outputs": [], "source": [ "fullpath_no_iframe = ggsave(p, \"no_iframe_plot.html\", iframe=False)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.058820Z", "iopub.status.busy": "2024-04-17T07:27:32.058651Z", "iopub.status.idle": "2024-04-17T07:27:32.060446Z", "shell.execute_reply": "2024-04-17T07:27:32.060269Z" } }, "outputs": [ { "data": { "text/html": [ "\n", " \n", " \n", " \n", " \n", " \n", "
\n", " \n", " \n", "" ], "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "HTML(filename=fullpath_no_iframe)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Export to PNG file\n", "\n", "To export plot to a PNG file you should install the [CairoSVG](https://pypi.org/project/CairoSVG/) library to your Python environment.\n", "\n", "To save plot as a PNG file use a filename that have \"png\" extension. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.061350Z", "iopub.status.busy": "2024-04-17T07:27:32.061273Z", "iopub.status.idle": "2024-04-17T07:27:32.101248Z", "shell.execute_reply": "2024-04-17T07:27:32.100972Z" } }, "outputs": [], "source": [ "fullpath_png = ggsave(p, \"plot.png\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Load and display saved PNG." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.102294Z", "iopub.status.busy": "2024-04-17T07:27:32.102207Z", "iopub.status.idle": "2024-04-17T07:27:32.105550Z", "shell.execute_reply": "2024-04-17T07:27:32.105375Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 14, "metadata": { "image/png": { "height": 400, "width": 600 } }, "output_type": "execute_result" } ], "source": [ "from IPython.display import Image\n", "\n", "Image(filename=fullpath_png, width=600, height=400)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Export Plot to a File or File-Like Object\n", "\n", "You can export figure created by `ggplot()` or `gggrid()` functions
\n", "to a vector or raster format using the following methods: \n", "- `to_svg(path)`\n", "- `to_html(path, iframe)`\n", "- `to_png(path, scale)`\n", "- `to_pdf(path, scale)`\n", "\n", "To save plot to a file on disc, specify the file' pathname in `path`.
\n", "To stream plot image to a file-like object, supply such object in the `path` parameter instead of a pathname." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Saving to a File" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.106560Z", "iopub.status.busy": "2024-04-17T07:27:32.106488Z", "iopub.status.idle": "2024-04-17T07:27:32.110448Z", "shell.execute_reply": "2024-04-17T07:27:32.110266Z" } }, "outputs": [], "source": [ "path = p.to_svg(\"lets-plot-images/to_svg_plot.svg\")" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.111408Z", "iopub.status.busy": "2024-04-17T07:27:32.111287Z", "iopub.status.idle": "2024-04-17T07:27:32.116252Z", "shell.execute_reply": "2024-04-17T07:27:32.116082Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 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\n", " \n", " \n", " 2.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 2.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " petal_width\n", " \n", " \n", " \n", " \n", " petal_length\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " species\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " setosa\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " versicolor\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " virginica\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SVG(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Wrighting to a Stream of In-Memory Bytes" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.117262Z", "iopub.status.busy": "2024-04-17T07:27:32.117146Z", "iopub.status.idle": "2024-04-17T07:27:32.120979Z", "shell.execute_reply": "2024-04-17T07:27:32.120794Z" } }, "outputs": [], "source": [ "stream = io.BytesIO()\n", "\n", "p.to_svg(stream)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.121944Z", "iopub.status.busy": "2024-04-17T07:27:32.121825Z", "iopub.status.idle": "2024-04-17T07:27:32.127004Z", "shell.execute_reply": "2024-04-17T07:27:32.126837Z" } }, "outputs": [ { "data": { "image/svg+xml": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 1\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 2\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 3\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 4\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 5\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 6\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 7\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " 0.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 0.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 1.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " 2.0\n", " \n", " \n", " \n", " \n", " \n", " \n", " 2.5\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " petal_width\n", " \n", " \n", " \n", " \n", " petal_length\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " species\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " setosa\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " versicolor\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " virginica\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "" ], "text/plain": [ "" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "SVG(stream.getvalue())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Parameter `dpi`\n", "\n", "Parameters `dpi`, `w`, `h` and `unit` can be used to configure export to a raster image with required physical metrics. Aspect ratio must be maintained manually between `ggsize()` and `ggsave()`. Please note that using these parameters will disable the `scale` parameter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 72 dpi" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.128030Z", "iopub.status.busy": "2024-04-17T07:27:32.127919Z", "iopub.status.idle": "2024-04-17T07:27:32.154937Z", "shell.execute_reply": "2024-04-17T07:27:32.154763Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "" ] }, "execution_count": 19, "metadata": { "image/png": { "height": 600, "width": 800 } }, "output_type": "execute_result" } ], "source": [ "img_72 = ggsave(p, \"72dpi_plot.png\", w=8, h=4, unit='in', dpi=72)\n", "Image(filename=img_72, width=800, height=600)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### 300 dpi" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "execution": { "iopub.execute_input": "2024-04-17T07:27:32.155934Z", "iopub.status.busy": "2024-04-17T07:27:32.155859Z", "iopub.status.idle": "2024-04-17T07:27:32.240583Z", "shell.execute_reply": "2024-04-17T07:27:32.240297Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "execution_count": 20, "metadata": { "image/png": { "height": 600, "width": 800 } }, "output_type": "execute_result" } ], "source": [ "img_300 = ggsave(p, \"300dpi_plot.png\", w=8, h=4, unit='in', dpi=300)\n", "Image(filename=img_300, width=800, height=600)" ] } ], "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": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }