{"id":2099,"date":"2024-01-14T22:38:46","date_gmt":"2024-01-15T06:38:46","guid":{"rendered":"https:\/\/gantovnik.com\/bio-tips\/?p=2099"},"modified":"2024-01-14T22:39:04","modified_gmt":"2024-01-15T06:39:04","slug":"410-2d-random-walk-animation-in-python","status":"publish","type":"post","link":"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/410-2d-random-walk-animation-in-python\/","title":{"rendered":"#410 2D random walk animation in python"},"content":{"rendered":"<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/410-2d-random-walk-animation-in-python\/ex410\/\" rel=\"attachment wp-att-2100\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex410.gif?resize=800%2C800&#038;ssl=1\" alt=\"\" width=\"800\" height=\"800\" class=\"alignnone size-full wp-image-2100\" \/><\/a><\/p>\n<p><a href=\"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/410-2d-random-walk-animation-in-python\/ex410-2\/\" rel=\"attachment wp-att-2101\"><img data-recalc-dims=\"1\" decoding=\"async\" src=\"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex410.png?resize=681%2C669&#038;ssl=1\" alt=\"\" width=\"681\" height=\"669\" class=\"alignnone size-full wp-image-2101\" srcset=\"https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex410.png 681w, https:\/\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex410-480x472.png 480w\" sizes=\"(min-width: 0px) and (max-width: 480px) 480px, (min-width: 481px) 681px, 100vw\" \/><\/a><\/p>\n<pre class=\"brush: python; title: ; notranslate\" title=\"\">\r\nimport numpy\r\nimport random\r\nimport matplotlib.pyplot as plt\r\nfrom matplotlib import animation\r\n\r\n# define some plot variables\r\nfig, ax = plt.subplots(figsize=(8,8))\r\nbound = 25\r\nax.set_xlim(-bound,bound)\r\nax.set_ylim(-bound,bound)\r\n\r\n\r\n# define a numpy array to hold the locations visited on the random walk\r\nlocations = numpy.zeros((1,2)) # 1 row, 2 columns\r\n\r\n# define a function to make animation frames\r\ndef run(i):\r\n  global locations\r\n  global bound\r\n  \r\n  # first frame is handled separately\r\n  if i == 0:\r\n    line, = ax.plot(&#x5B;], &#x5B;])\r\n    ax.plot(0,0,'r.')\r\n    return line\r\n  \r\n  # generate a step of the random walk\r\n  a=random.uniform(-1,1)\r\n  b=random.uniform(-1,1)\r\n  dirs = numpy.array(&#x5B;&#x5B;a,b]])\r\n\r\n  move = dirs&#x5B;0]\r\n  nextloc = &#x5B;locations&#x5B;-1] + move]\r\n  locations = numpy.append(locations, nextloc, axis=0)\r\n  \r\n  # set the plot data\r\n  xdata = locations&#x5B;:,0]\r\n  ydata = locations&#x5B;:,1]\r\n  \r\n  ax.cla() # clear the previous plot (necessary for removing old dots)\r\n  \r\n  # update the plot limits\r\n  ax.set_xlim(min(-bound,min(xdata)-1), max(bound,max(xdata)+1))\r\n  ax.set_ylim(min(-bound,min(ydata)-1), max(bound,max(ydata)+1))\r\n  \r\n  # redraw the plot\r\n  line, = ax.plot(&#x5B;], &#x5B;],c=&quot;black&quot;,lw=0.5)\r\n  line.set_data(xdata, ydata)\r\n  ax.plot(locations&#x5B;-1,0], locations&#x5B;-1,1], 'r.')\r\n  \r\n  return line\r\n\r\nanimation = animation.FuncAnimation(fig, run, frames=500, interval=5)\r\n<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>import numpy import random import matplotlib.pyplot as plt from matplotlib import animation # define some plot variables fig, ax = plt.subplots(figsize=(8,8)) bound = 25 ax.set_xlim(-bound,bound) ax.set_ylim(-bound,bound) # define a numpy array to hold the locations visited on the random walk locations = numpy.zeros((1,2)) # 1 row, 2 columns # define a function to make animation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"nf_dc_page":"","_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_lmt_disableupdate":"yes","_lmt_disable":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[89,69,2],"tags":[],"class_list":["post-2099","post","type-post","status-publish","format-standard","hentry","category-animation","category-matplotlib","category-python"],"modified_by":"gantovnik","jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p8bH0k-xR","jetpack_likes_enabled":true,"jetpack-related-posts":[{"id":1088,"url":"https:\/\/gantovnik.com\/bio-tips\/2021\/11\/188-create-animation-using-matplotlib\/","url_meta":{"origin":2099,"position":0},"title":"#188 Create animation using  matplotlib","author":"gantovnik","date":"2021-11-12","format":false,"excerpt":"[code language=\"python\"] # Make a movie out of the steps of a 2D random walk. import matplotlib.pyplot as plt from matplotlib import animation from numpy.random import random as rand # Set number of steps for each random walk. num_steps = 1000 # Create an empty figure of the desired size.\u2026","rel":"","context":"In &quot;python&quot;","block_context":{"text":"python","link":"https:\/\/gantovnik.com\/bio-tips\/category\/python\/"},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1109,"url":"https:\/\/gantovnik.com\/bio-tips\/2021\/11\/193-animation-using-python\/","url_meta":{"origin":2099,"position":1},"title":"#193 Animation using python","author":"gantovnik","date":"2021-11-19","format":false,"excerpt":"[code language=\"python\"] # create an animation import numpy as np import matplotlib.pyplot as plt import matplotlib. Animation as manimation n = 1000 x = np.linspace(0, 6*np.pi, n) y = np.sin(x) # Define the meta data for the movie FFMpegWriter = manimation.writers[\"ffmpeg\"] metadata = dict(title=\"Movie Test\", artist=\"Matplotlib\", comment=\"a red circle following\u2026","rel":"","context":"In &quot;python&quot;","block_context":{"text":"python","link":"https:\/\/gantovnik.com\/bio-tips\/category\/python\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex193.png?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex193.png?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex193.png?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2021\/11\/ex193.png?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":1880,"url":"https:\/\/gantovnik.com\/bio-tips\/2023\/07\/356-animation-of-plot-legend-using-python\/","url_meta":{"origin":2099,"position":2},"title":"#356 Animation of plot legend using python","author":"gantovnik","date":"2023-07-01","format":false,"excerpt":"[code language=\"python\"] # pip install celluloid #%matplotlib qt from matplotlib import pyplot as plt from celluloid import Camera import numpy as np fig = plt.figure() camera = Camera(fig) t = np.linspace(0, 2 * np.pi, 128, endpoint=False) for i in range(0,41) : p=plt.plot(t, i*np.sin(t)) plt.legend(p, [f'line {i}']) camera.snap() animation = camera.animate()\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex356.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex356.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex356.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":1875,"url":"https:\/\/gantovnik.com\/bio-tips\/2023\/06\/354-animation-in-python\/","url_meta":{"origin":2099,"position":3},"title":"#354 Animation in python","author":"gantovnik","date":"2023-06-30","format":false,"excerpt":"[code language=\"python\"] # pip install celluloid #%matplotlib qt from matplotlib import pyplot as plt from celluloid import Camera import numpy as np fig, axes = plt.subplots(2) camera = Camera(fig) t = np.linspace(0, 2.0*np.pi, 128, endpoint=False) for i in t: axes[0].plot(t, np.sin(t + i), color='blue') axes[1].plot(t, np.sin(t - i), color='blue') camera.snap()\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/06\/ex354.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/06\/ex354.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/06\/ex354.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]},{"id":2094,"url":"https:\/\/gantovnik.com\/bio-tips\/2024\/01\/409-rain-drops-animation-using-matplotlib-in-python\/","url_meta":{"origin":2099,"position":4},"title":"#409 Rain drops &#8211; animation using matplotlib in python","author":"gantovnik","date":"2024-01-14","format":false,"excerpt":"[code language=\"python\"] import matplotlib.pyplot as plt import numpy as np from matplotlib.animation import FuncAnimation # Fixing random state for reproducibility np.random.seed(19680801) # Create new Figure and an Axes which fills it. fig = plt.figure(figsize=(7, 7)) ax = fig.add_axes([0, 0, 1, 1], frameon=False) ax.set_xlim(0, 1), ax.set_xticks([]) ax.set_ylim(0, 1), ax.set_yticks([]) # Create\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex409.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex409.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex409.gif?resize=525%2C300&ssl=1 1.5x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2024\/01\/ex409.gif?resize=700%2C400&ssl=1 2x"},"classes":[]},{"id":1877,"url":"https:\/\/gantovnik.com\/bio-tips\/2023\/07\/355-animation-of-domain-coloring-using-python\/","url_meta":{"origin":2099,"position":5},"title":"#355 Animation of domain coloring using python","author":"gantovnik","date":"2023-07-01","format":false,"excerpt":"[code language=\"python\"] # pip install celluloid #%matplotlib qt import numpy as np from matplotlib import pyplot as plt from matplotlib.colors import hsv_to_rgb from celluloid import Camera fig = plt.figure() camera = Camera(fig) for a in np.linspace(0, 2 * np.pi, 30, endpoint=False): x = np.linspace(-3, 3, 800) X, Y = np.meshgrid(x,\u2026","rel":"","context":"In &quot;animation&quot;","block_context":{"text":"animation","link":"https:\/\/gantovnik.com\/bio-tips\/category\/animation\/"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=350%2C200&ssl=1","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=350%2C200&ssl=1 1x, https:\/\/i0.wp.com\/gantovnik.com\/bio-tips\/wp-content\/uploads\/2023\/07\/ex355.gif?resize=525%2C300&ssl=1 1.5x"},"classes":[]}],"_links":{"self":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/2099","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/comments?post=2099"}],"version-history":[{"count":2,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/2099\/revisions"}],"predecessor-version":[{"id":2103,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/posts\/2099\/revisions\/2103"}],"wp:attachment":[{"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/media?parent=2099"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/categories?post=2099"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gantovnik.com\/bio-tips\/wp-json\/wp\/v2\/tags?post=2099"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}