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May 10, 2018 20:23
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Wolframalpha replacement for automatic interactive plots from the terminal
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#!/usr/bin/env python | |
import sys | |
from pdb import set_trace | |
import sympy as ss | |
from mpmath import * | |
import matplotlib.pyplot as plt | |
from matplotlib import cm | |
import numpy as np | |
import argparse | |
from sympy.abc import x,y | |
arg_parser = argparse.ArgumentParser(description=''' | |
# USAGE: | |
./plot "x - 1/x" -10.05 10 0.1 | |
./plot "mp.e**(x) - 1/(mp.e**(x))" -10.05 10 0.1 | |
''') | |
arg_parser.add_argument('expr') | |
arg_parser.add_argument('start', default=0., type=float, nargs='?') | |
arg_parser.add_argument('stop', default=1., type=float, nargs='?') | |
arg_parser.add_argument('step', default=0.1, type=float, nargs='?') | |
arg_parser.add_argument('starty', default=0., type=float, nargs='?') | |
arg_parser.add_argument('stopy', default=1., type=float, nargs='?') | |
arg_parser.add_argument('stepy', default=0.1, type=float, nargs='?') | |
arg_parser.add_argument('--plot', default='plt.plot', type=str, help='plt.semilogx | plt.plot') | |
args=arg_parser.parse_args() | |
expr, start, stop, step, starty, stopy, stepy = args.expr, args.start, args.stop, args.step, args.starty, args.stopy, args.stepy | |
f = eval(expr) | |
xv = np.arange(start, stop, step) | |
yv = np.arange(starty, stopy, stepy) | |
def reshape(arr): | |
return np.reshape(np.array(arr), (len(xv), len(yv))) | |
if f.free_symbols == set([x]): | |
fv = [f.subs(x, v).evalf() for v in xv] | |
eval(args.plot)(xv, fv) | |
npf = lambda x: np.array(x, dtype=float) | |
plt.ylim(npf(max(-100, min(fv))), npf(min(100, max(fv)))) | |
plt.grid(True) | |
else: | |
import matplotlib.pyplot as plt | |
from mpl_toolkits.mplot3d import Axes3D | |
fig = plt.figure() | |
ax = fig.gca(projection='3d') | |
X, Y = np.meshgrid(xv, yv) | |
Z = reshape([float(f.subs(x, _x).subs(y, _y)) for _x in xv for _y in yv]) | |
surf = ax.plot_surface(X, Y, Z, alpha=0.5, antialiased=False, cmap=cm.coolwarm) # | |
cset = ax.contour(X, Y, Z, cmap=cm.coolwarm) | |
fig.colorbar(surf, shrink=0.5, aspect=5) | |
plt.title(expr) | |
plt.show() |
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