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from sympy.core.numbers import Float
from sympy.core.symbol import Dummy
from sympy.utilities.lambdify import lambdify
import math
def is_valid(x):
"""Check if a floating point number is valid"""
if x is None:
return False
if isinstance(x, complex):
return False
return not math.isinf(x) and not math.isnan(x)
def rescale(y, W, H, mi, ma):
"""Rescale the given array `y` to fit into the integer values
between `0` and `H-1` for the values between ``mi`` and ``ma``.
"""
y_new = []
norm = ma - mi
offset = (ma + mi) / 2
for x in range(W):
if is_valid(y[x]):
normalized = (y[x] - offset) / norm
if not is_valid(normalized):
y_new.append(None)
else:
rescaled = Float((normalized*H + H/2) * (H-1)/H).round()
rescaled = int(rescaled)
y_new.append(rescaled)
else:
y_new.append(None)
return y_new
def linspace(start, stop, num):
return [start + (stop - start) * x / (num-1) for x in range(num)]
def textplot_str(expr, a, b, W=55, H=21):
"""Generator for the lines of the plot"""
free = expr.free_symbols
if len(free) > 1:
raise ValueError(
"The expression must have a single variable. (Got {})"
.format(free))
x = free.pop() if free else Dummy()
f = lambdify([x], expr)
if isinstance(a, complex):
if a.imag == 0:
a = a.real
if isinstance(b, complex):
if b.imag == 0:
b = b.real
a = float(a)
b = float(b)
# Calculate function values
x = linspace(a, b, W)
y = []
for val in x:
try:
y.append(f(val))
# Not sure what exceptions to catch here or why...
except (ValueError, TypeError, ZeroDivisionError):
y.append(None)
# Normalize height to screen space
y_valid = list(filter(is_valid, y))
if y_valid:
ma = max(y_valid)
mi = min(y_valid)
if ma == mi:
if ma:
mi, ma = sorted([0, 2*ma])
else:
mi, ma = -1, 1
else:
mi, ma = -1, 1
y_range = ma - mi
precision = math.floor(math.log10(y_range)) - 1
precision *= -1
mi = round(mi, precision)
ma = round(ma, precision)
y = rescale(y, W, H, mi, ma)
y_bins = linspace(mi, ma, H)
# Draw plot
margin = 7
for h in range(H - 1, -1, -1):
s = [' '] * W
for i in range(W):
if y[i] == h:
if (i == 0 or y[i - 1] == h - 1) and (i == W - 1 or y[i + 1] == h + 1):
s[i] = '/'
elif (i == 0 or y[i - 1] == h + 1) and (i == W - 1 or y[i + 1] == h - 1):
s[i] = '\\'
else:
s[i] = '.'
if h == 0:
for i in range(W):
s[i] = '_'
# Print y values
if h in (0, H//2, H - 1):
prefix = ("%g" % y_bins[h]).rjust(margin)[:margin]
else:
prefix = " "*margin
s = "".join(s)
if h == H//2:
s = s.replace(" ", "-")
yield prefix + " |" + s
# Print x values
bottom = " " * (margin + 2)
bottom += ("%g" % x[0]).ljust(W//2)
if W % 2 == 1:
bottom += ("%g" % x[W//2]).ljust(W//2)
else:
bottom += ("%g" % x[W//2]).ljust(W//2-1)
bottom += "%g" % x[-1]
yield bottom
def textplot(expr, a, b, W=55, H=21):
r"""
Print a crude ASCII art plot of the SymPy expression 'expr' (which
should contain a single symbol, e.g. x or something else) over the
interval [a, b].
Examples
========
>>> from sympy import Symbol, sin
>>> from sympy.plotting import textplot
>>> t = Symbol('t')
>>> textplot(sin(t)*t, 0, 15)
14 | ...
| .
| .
| .
| .
| ...
| / . .
| /
| / .
| . . .
1.5 |----.......--------------------------------------------
|.... \ . .
| \ / .
| .. / .
| \ / .
| ....
| .
| . .
|
| . .
-11 |_______________________________________________________
0 7.5 15
"""
for line in textplot_str(expr, a, b, W, H):
print(line)
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