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Original file line number | Diff line number | Diff line change |
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In [1]: 12 | ||
Out[1]: 12 0x0c 0000 1100 | ||
In [1]: 30/3deg | ||
Out[1]: | ||
1800 | ||
---- ≈ 572.957795130823 | ||
pi | ||
In [1]: [pi/2, log(x)/sin(y), Sum(1/n**2,(n,1,4))] | ||
Out[1]: | ||
4 | ||
____ | ||
\ ` | ||
\ 1 log(x) | ||
pi log(x) \ -- ≈ [1.57079632679490, ------, 1.42361111111111] | ||
[--, ------, / 2] sin(y) | ||
2 sin(y) / n | ||
/___, | ||
n = 1 | ||
In [1]: SymmetricGroup(3).conjugacy_classes() | ||
Out[1]: [{()}, {(0 1 2), (0 2 1)}, {(0 2), (1 2), (0 1)}] | ||
In [1]: latex(diff($\frac{1}{x}$ * $\sin{x}$)) | ||
Out[1]: \frac{\cos{\left(x \right)}}{x} - \frac{\sin{\left(x \right)}}{x^{2}} | ||
In [1]: 8x**2+2x-10 = 0 | ||
In [1]: ?23232 | ||
Out[1]: 23232 0x5ac0 0101 1010 1100 0000 | ||
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2 6 1 | ||
11 *2 *3 {2: 6, 3: 1, 11: 2} = factorint(_) | ||
In [1]: ?((1,2),(2,3)) | ||
Out[1]: | ||
[1 2] | ||
[ ] | ||
[2 3] | ||
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-1 = det(_) | ||
4 = trace(_) | ||
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[-3 2 ] | ||
[ ] | ||
[2 -1] = _**-1 | ||
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2 | ||
lambda - 4*lambda - 1 = _.charpoly().as_expr() | ||
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[ ___ ] [ ___] | ||
[ \/ 5 1] [ 1 \/ 5 ] | ||
___ [- ----- - -] ___ [- - + -----] | ||
[(2 - \/ 5 , 1, [[ 2 2]]), (2 + \/ 5 , 1, [[ 2 2 ]])] | ||
[ ] [ ] | ||
[ 1 ] [ 1 ] = _.eigenvects() # ((eval, mult, evec),... | ||
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[ ___ ___] | ||
[ \/ 5 1 1 \/ 5 ] [ ___ ] | ||
[- ----- - - - - + -----] [2 - \/ 5 0 ] | ||
([ 2 2 2 2 ], [ ]) | ||
[ ] [ ___] | ||
[ 1 1 ] [ 0 2 + \/ 5 ] = _.diagonalize() # (P,D) so _=PDP^-1 | ||
In [1]: ?e**(-x**2) | ||
Out[1]: | ||
2 | ||
-x | ||
e | ||
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2 | ||
-x | ||
-2*x*e = diff(_) | ||
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____ | ||
\/ pi *erf(x) | ||
------------- | ||
2 = integrate(_) | ||
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4 | ||
2 x / 6\ | ||
1 - x + -- + O\x / | ||
2 = series(_) | ||
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[] = solve(_) |
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#!/usr/bin/env python3 | ||
import os | ||
from time import sleep | ||
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OUTPUT_FILE_PATH = os.path.join(os.path.dirname(__file__), 'output.txt') | ||
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def run_flow(ip): | ||
def run_cell(raw_cell): | ||
print('In [1]: ' + raw_cell) | ||
ip.run_cell(raw_cell) | ||
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run_cell('12') | ||
run_cell('30/3deg') | ||
run_cell('[pi/2, log(x)/sin(y), Sum(1/n**2,(n,1,4))]') | ||
run_cell('SymmetricGroup(3).conjugacy_classes()') | ||
run_cell(r'latex(diff($\frac{1}{x}$ * $\sin{x}$))') | ||
run_cell('8x**2+2x-10 = 0') | ||
run_cell('?23232') | ||
sleep(1) | ||
run_cell('?((1,2),(2,3))') | ||
sleep(1) | ||
run_cell('?e**(-x**2)') | ||
sleep(2) | ||
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def test_output(ip, capsys): | ||
run_flow(ip) | ||
captured = capsys.readouterr() | ||
with open(OUTPUT_FILE_PATH, 'r', encoding='utf-8') as f: | ||
assert f.read() == captured.out, \ | ||
r'output mismatch, regenerate output by `python calcpy\tests\test_output.py`' | ||
assert '' == captured.err | ||
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if __name__ == '__main__': | ||
import os | ||
from contextlib import redirect_stdout | ||
from IPython.testing.globalipapp import start_ipython | ||
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ip = start_ipython() | ||
ip.run_line_magic('load_ext', 'calcpy') | ||
print(f'writing output to {OUTPUT_FILE_PATH}') | ||
with open(OUTPUT_FILE_PATH, 'w', encoding='utf-8') as f: | ||
with redirect_stdout(f): | ||
run_flow(ip) | ||
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