forked from RustPython/RustPython
-
Notifications
You must be signed in to change notification settings - Fork 0
Expand file tree
/
Copy pathbuiltin_complex.py
More file actions
270 lines (213 loc) · 7.6 KB
/
builtin_complex.py
File metadata and controls
270 lines (213 loc) · 7.6 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
import testutils
from testutils import assert_raises
# __abs__
assert abs(complex(3, 4)) == 5
assert abs(complex(3, -4)) == 5
assert abs(complex(1.5, 2.5)) == 2.9154759474226504
# __eq__
assert 3 + 02j == 3 + 2j
assert complex(1, -1) == complex(1, -1)
assert complex(1, 0) == 1
assert 1 == complex(1, 0)
assert complex(1, 1) != 1
assert 1 != complex(1, 1)
assert complex(1, 0) == 1.0
assert 1.0 == complex(1, 0)
assert complex(1, 1) != 1.0
assert 1.0 != complex(1, 1)
assert complex(1, 0) != 1.5
assert not 1.0 != complex(1, 0)
assert bool(complex(1, 0))
assert complex(1, 2) != complex(1, 1)
assert complex(1, 2) != "foo"
assert complex(1, 2).__eq__("foo") == NotImplemented
assert 1j != 10**1000
# __mul__, __rmul__
assert complex(2, -3) * complex(-5, 7) == complex(11, 29)
assert complex(2, -3) * 5 == complex(10, -15)
assert 5 * complex(2, -3) == complex(2, -3) * 5
# __truediv__, __rtruediv__
assert complex(2, -3) / 2 == complex(1, -1.5)
assert 5 / complex(3, -4) == complex(0.6, 0.8)
# __mod__, __rmod__
# "can't mod complex numbers.
assert_raises(TypeError, lambda: complex(2, -3) % 2)
assert_raises(TypeError, lambda: 2 % complex(2, -3))
# __floordiv__, __rfloordiv__
# can't take floor of complex number.
assert_raises(TypeError, lambda: complex(2, -3) // 2)
assert_raises(TypeError, lambda: 2 // complex(2, -3))
# __divmod__, __rdivmod__
# "can't take floor or mod of complex number."
assert_raises(TypeError, lambda: divmod(complex(2, -3), 2))
assert_raises(TypeError, lambda: divmod(2, complex(2, -3)))
# __pow__, __rpow__
# assert 1j ** 2 == -1
assert complex(1) ** 2 == 1
assert 2 ** complex(2) == 4
# __pos__
assert +complex(0, 1) == complex(0, 1)
assert +complex(1, 0) == complex(1, 0)
assert +complex(1, -1) == complex(1, -1)
assert +complex(0, 0) == complex(0, 0)
# __neg__
assert -complex(1, -1) == complex(-1, 1)
assert -complex(0, 0) == complex(0, 0)
# __bool__
assert bool(complex(0, 0)) is False
assert bool(complex(0, 1)) is True
assert bool(complex(1, 0)) is True
# __hash__
assert hash(complex(1)) == hash(float(1)) == hash(int(1))
assert hash(complex(-1)) == hash(float(-1)) == hash(int(-1))
assert hash(complex(3.14)) == hash(float(3.14))
assert hash(complex(-float("inf"))) == hash(-float("inf"))
assert hash(1j) != hash(1)
# TODO: Find a way to test platform dependent values
assert hash(3.1 - 4.2j) == hash(3.1 - 4.2j)
assert hash(3.1 + 4.2j) == hash(3.1 + 4.2j)
# numbers.Complex
a = complex(3, 4)
b = 4j
assert a.real == 3
assert b.real == 0
assert a.imag == 4
assert b.imag == 4
assert a.conjugate() == 3 - 4j
assert b.conjugate() == -4j
# int and complex addition
assert 1 + 1j == complex(1, 1)
assert 1j + 1 == complex(1, 1)
assert (1j + 1) + 3 == complex(4, 1)
assert 3 + (1j + 1) == complex(4, 1)
# float and complex addition
assert 1.1 + 1.2j == complex(1.1, 1.2)
assert 1.3j + 1.4 == complex(1.4, 1.3)
assert (1.5j + 1.6) + 3 == complex(4.6, 1.5)
assert 3.5 + (1.1j + 1.2) == complex(4.7, 1.1)
# subtraction
assert 1 - 1j == complex(1, -1)
assert 1j - 1 == complex(-1, 1)
assert 2j - 1j == complex(0, 1)
# type error addition
assert_raises(TypeError, lambda: 1j + "str")
assert_raises(TypeError, lambda: 1j - "str")
assert_raises(TypeError, lambda: "str" + 1j)
assert_raises(TypeError, lambda: "str" - 1j)
# overflow
assert_raises(OverflowError, lambda: complex(10**1000, 0))
assert_raises(OverflowError, lambda: complex(0, 10**1000))
assert_raises(OverflowError, lambda: 0j + 10**1000)
# str/repr
assert "(1+1j)" == str(1 + 1j)
assert "(1-1j)" == str(1 - 1j)
assert "(1+1j)" == repr(1 + 1j)
assert "(1-1j)" == repr(1 - 1j)
# __getnewargs__
assert (3 + 5j).__getnewargs__() == (3.0, 5.0)
assert (5j).__getnewargs__() == (0.0, 5.0)
class Complex:
def __init__(self, real, imag):
self.real = real
self.imag = imag
def __repr__(self):
return "Com" + str((self.real, self.imag))
def __sub__(self, other):
return Complex(self.real - other, self.imag)
def __rsub__(self, other):
return Complex(other - self.real, -self.imag)
def __eq__(self, other):
return self.real == other.real and self.imag == other.imag
assert Complex(4, 5) - 3 == Complex(1, 5)
assert 7 - Complex(4, 5) == Complex(3, -5)
assert complex("5+2j") == 5 + 2j
assert complex("5-2j") == 5 - 2j
assert complex("-2j") == -2j
assert_raises(TypeError, lambda: complex("5+2j", 1))
assert_raises(ValueError, lambda: complex("abc"))
assert complex("1+10j") == 1 + 10j
assert complex(10) == 10 + 0j
assert complex(10.0) == 10 + 0j
assert complex(10) == 10 + 0j
assert complex(10 + 0j) == 10 + 0j
assert complex(1, 10) == 1 + 10j
assert complex(1, 10) == 1 + 10j
assert complex(1, 10.0) == 1 + 10j
assert complex(1, 10) == 1 + 10j
assert complex(1, 10) == 1 + 10j
assert complex(1, 10.0) == 1 + 10j
assert complex(1.0, 10) == 1 + 10j
assert complex(1.0, 10) == 1 + 10j
assert complex(1.0, 10.0) == 1 + 10j
assert complex(3.14 + 0j) == 3.14 + 0j
assert complex(3.14) == 3.14 + 0j
assert complex(314) == 314.0 + 0j
assert complex(314) == 314.0 + 0j
assert complex(3.14 + 0j, 0j) == 3.14 + 0j
assert complex(3.14, 0.0) == 3.14 + 0j
assert complex(314, 0) == 314.0 + 0j
assert complex(314, 0) == 314.0 + 0j
assert complex(0j, 3.14j) == -3.14 + 0j
assert complex(0.0, 3.14j) == -3.14 + 0j
assert complex(0j, 3.14) == 3.14j
assert complex(0.0, 3.14) == 3.14j
assert complex("1") == 1 + 0j
assert complex("1j") == 1j
assert complex() == 0
assert complex("-1") == -1
assert complex("+1") == +1
assert complex("(1+2j)") == 1 + 2j
assert complex("(1.3+2.2j)") == 1.3 + 2.2j
assert complex("3.14+1J") == 3.14 + 1j
assert complex(" ( +3.14-6J )") == 3.14 - 6j
assert complex(" ( +3.14-J )") == 3.14 - 1j
assert complex(" ( +3.14+j )") == 3.14 + 1j
assert complex("J") == 1j
assert complex("( j )") == 1j
assert complex("+J") == 1j
assert complex("( -j)") == -1j
assert complex("1e-500") == 0.0 + 0.0j
assert complex("-1e-500j") == 0.0 - 0.0j
assert complex("-1e-500+1e-500j") == -0.0 + 0.0j
# Invalid syntax:
src = """
b = 03 + 2j
"""
with assert_raises(SyntaxError):
exec(src)
# __complex__
z = 3 + 4j
assert z.__complex__() == z
assert type(z.__complex__()) == complex
class complex_subclass(complex):
pass
z = complex_subclass(3 + 4j)
assert z.__complex__() == 3 + 4j
assert type(z.__complex__()) == complex
# repr must use scientific notation for |value| >= 1e16 or < 1e-4, matching
# CPython. Previously integer-valued large magnitudes (e.g. 1e16, 1e100) hit
# a `fract() == 0.0` branch in rustpython_literal::complex::to_string that
# used Rust's default Display — which emits the full decimal expansion
# (`10000...000`) instead of `1e+16`.
assert repr(1e16 + 1j) == "(1e+16+1j)"
assert repr(1e17 + 1j) == "(1e+17+1j)"
assert repr(1e100 + 1e100j) == "(1e+100+1e+100j)"
assert repr(-1e100 - 1e100j) == "(-1e+100-1e+100j)"
assert repr(1e-100 + 1e100j) == "(1e-100+1e+100j)"
assert repr(1 + 1e100j) == "(1+1e+100j)"
assert repr(1e100 + 1j) == "(1e+100+1j)"
# Threshold boundary: |x| in [1e-4, 1e16) renders in decimal form; values
# outside that range use scientific notation. These three assertions pin
# the exact transition points.
assert repr(1e15 + 1j) == "(1000000000000000+1j)" # below 1e16 -> decimal
assert repr(1e-4 + 1j) == "(0.0001+1j)" # at 1e-4 (inclusive) -> decimal
assert repr(1e-5 + 1j) == "(1e-05+1j)" # below 1e-4 -> scientific
# Integer-valued components render without trailing ".0".
assert repr(1 + 2j) == "(1+2j)"
assert repr(1.0 + 2.0j) == "(1+2j)"
# Special values still round-trip correctly.
assert repr(float("nan") + 1j) == "(nan+1j)"
assert repr(float("inf") + 1j) == "(inf+1j)"
assert repr(float("-inf") + 1j) == "(-inf+1j)"
assert repr(complex(1, float("nan"))) == "(1+nanj)"
assert repr(complex(1, float("inf"))) == "(1+infj)"