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
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
U
O±dqÈã @sšddlZddlZddlZddlmZmZmZmZm    Z    m
Z
m Z m Z dZ e dddddddddddg ¡Zeee eƒƒZGd    d
„d
ƒZGd d „d ƒZd d„ZdS)éN)Úassert_Ú assert_equalÚassert_array_equalÚassert_almost_equalÚ assert_raisesÚsuppress_warningsÚassert_raises_regexÚassert_allcloseZ
abcdefghijéééééc@sveZdZdd„Zdd„Ze ¡dVdd„ƒZdd    „Zd
d „Z    d d „Z
dd„Z dd„Z dd„Z dd„Zdd„Zdd„Zdd„Zdd„Zdd„Zd d!„Zd"d#„Zd$d%„Zd&d'„Zd(d)„Zd*d+„Zd,d-„Zd.d/„Zd0d1„Zd2d3„Zej  d4ej!d5ej!d6¡d7d8„ƒZ"d9d:„Z#d;d<„Z$dWd>d?„Z%d@dA„Z&dBdC„Z'dDdE„Z(dFdG„Z)dHdI„Z*dJdK„Z+dLdM„Z,dNdO„Z-dPdQ„Z.dRdS„Z/dTdU„Z0d=S)XÚ
TestEinsumc
CsjdD]^}tttj|dtttjd|dtttjdd|dtttjddd|dtttjddd|dtttjddd    |d
tttjddd |d tttjddd|d tttjfdžd|iŽtttjddd|dtttjdddgdg|dtttjddg|dtttjdd|dtttjdddg|dtttjdd|dtttjdddg|dtttjdd|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddg|dtttjdddgddgg|dtttjd t d!¡ d"d#¡|dtttjd$t d!¡ d"d#¡|dtttjdt d!¡ d"d#¡|dtttjd%dd&gdd&ggt d'¡ d"d"¡|dttd(ƒ(t d)¡}t d*¡}t d+||¡W5QRXtttjd%t d!¡ d,d&¡|d-d.qdS)/N©TF©ÚoptimizeÚrÚtest)ÚoutrÚW©ÚorderrZblah)ÚcastingrZ bad_data_type)Údtyper)Zbad_argr)?NNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNrú,ÚiÚijz...izi...jzi...zij...zi..z.i...zj->..jzj->.j...zi%...z...j$zi->&zi->ijzij->jijÚiirr
r úii->izi->iér z'b')r r r r r)r r r z    aabcb,abcéÿÿÿÿÚd)rr)    rÚ
ValueErrorÚnpÚeinsumÚ    TypeErrorÚarangeÚreshaperÚones)ÚselfÚdo_optÚaÚb©r.úSd:\z\workplace\vscode\pyvenv\venv\Lib\site-packages\numpy/core/tests/test_einsum.pyÚtest_einsum_errorss‚
ÿÿÿÿÿÿÿ
ÿ
ÿÿÿ 
 
ÿzTestEinsum.test_einsum_errorsc    s‚dD]v}t d¡‰dˆ_tjdˆ|d}t|jˆkƒtjˆtg|d}t|jˆkƒtjdˆ|d}t|jˆkƒt|ˆƒtjˆddg|d}t|jˆkƒt|ˆƒtjdˆ|d}t|jd    ƒd
ˆjd    <tjdˆ|d}t|jd     ƒt d¡‰dˆ_tjd ˆ|d}t|jˆkƒt|ˆj    ƒtjˆddg|d}t|jˆkƒt|ˆj    ƒt d ¡‰d ˆ_tjdˆ|d}t|jˆkƒt|‡fdd„t
dƒDƒƒtjˆddgdg|d}t|jˆkƒt|‡fdd„t
dƒDƒƒt d¡‰dˆ_tjdˆ|d}t|jˆkƒt|dd„ˆDƒƒtjˆtddgtdg|d}t|jˆkƒt|dd„ˆDƒƒtjdˆ|d}t|jˆkƒt|dd„ˆ  ddd¡Dƒƒtjˆddtgtdg|d}t|jˆkƒt|dd„ˆ  ddd¡Dƒƒtjdˆ|d}t|jˆkƒt|‡fdd„t
dƒDƒƒtjˆtddgdtg|d}t|jˆkƒt|‡fdd„t
dƒDƒƒtjdˆ|d}t|jˆkƒt|‡fd d„t
dƒDƒƒtjˆdddgddg|d}t|jˆkƒt|‡fd!d„t
dƒDƒƒtjd"ˆ|d}t|jˆkƒt|‡fd#d„t
dƒDƒƒtjˆddtgdtg|d}t|jˆkƒt|‡fd$d„t
dƒDƒƒtjd%ˆ|d}t|jˆkƒt|‡fd&d„t
dƒDƒƒtjˆdtdgdtg|d}t|jˆkƒt|‡fd'd„t
dƒDƒƒtjd(ˆ|d}t|jˆkƒt|d)d„ˆ  ddd¡Dƒƒtjˆdtdgtdg|d}t|jˆkƒt|d*d„ˆ  ddd¡Dƒƒt d¡‰dˆ_tjd+ˆ|d}t|jˆkƒt|‡fd,d„t
dƒDƒƒtjˆdddgdg|d}t|jˆkƒt|‡fd-d„t
dƒDƒƒt d.¡‰d/ˆ_tjd0ˆ|d}t|jˆkƒt|ˆ  dd¡ƒtjˆdddgdddg|d}t|jˆkƒt|ˆ  dd¡ƒqdS)1Nrr©r
r z...rrrr Z    WRITEABLEFZjié    )r r rcsg|]}ˆ||f‘qSr.r.©Ú.0r©r,r.r/Ú
<listcomp>”sz0TestEinsum.test_einsum_views.<locals>.<listcomp>r csg|]}ˆ||f‘qSr.r.r3r5r.r/r6˜sé)r r r z ...ii->...ics"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3©Úxr.r/r6 sú;TestEinsum.test_einsum_views.<locals>.<listcomp>.<listcomp>r ©Úrange©r4r.r8r/r6 scs"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3r8r.r/r6¤sr:r r;r=r.r8r/r6¤sz ii...->...ics"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3r8r.r/r6¨sr:r r;r=r.r8r/r6¨sÿr
cs"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3r8r.r/r6­sr:r r;r=r.r8r/r6­sÿz ...ii->i...csg|]}ˆdd…||f‘qS©Nr.r3r5r.r/r6²scsg|]}ˆdd…||f‘qSr>r.r3r5r.r/r6¶szjii->ijcsg|]}ˆdd…||f‘qSr>r.r3r5r.r/r6ºscsg|]}ˆdd…||f‘qSr>r.r3r5r.r/r6¾sz ii...->i...cs(g|] }ˆ ddd¡dd…||f‘qS©r
rr N©Ú    transposer3r5r.r/r6Âscs(g|] }ˆ ddd¡dd…||f‘qSr?r@r3r5r.r/r6Æsz i...i->i...cs(g|] }ˆ ddd¡dd…||f‘qS©r rr
Nr@r3r5r.r/r6Êscs(g|] }ˆ ddd¡dd…||f‘qSrBr@r3r5r.r/r6Îsz i...i->...ics"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3r8r.r/r6Òsr:r r;r=r.r8r/r6Òsÿcs"g|]‰‡fdd„tdƒDƒ‘qS)csg|]}ˆ||f‘qSr.r.r3r8r.r/r6×sr:r r;r=r.r8r/r6×sÿziii->icsg|]}ˆ|||f‘qSr.r.r3r5r.r/r6àscsg|]}ˆ|||f‘qSr.r.r3r5r.r/r6äsé)r
r r zijk->jik) r$r'Úshaper%rÚbaseÚEllipsisrÚflagsÚTr<rAZswapaxes)r*r+r-r.r5r/Útest_einsum_viewsgsÌ
 
 
 
 
 
 
 
 
 ÿ
 ÿ
 ÿ
 ÿ
 
zTestEinsum.test_einsum_viewsFc Csêt |¡}tddƒD]b}tj||d}ttjd||dtj|dd |¡ƒttj|dgg|dtj|dd |¡ƒqtddƒD]t}tjd    ||d d
d |¡}ttjd ||dtj|dd |¡ƒttj|t    dgt    g|dtj|dd |¡ƒq‚tddƒD]t}tjd
||d d
|¡}ttjd ||dtj|dd |¡ƒttj|dt    gt    g|dtj|dd |¡ƒqtddƒD]v}tjd    ||d d
d |¡}ttjd ||dtj|dd |¡ƒttj|dt    gt    g|dtj|dd |¡ƒq‚tddƒD]¾}tj|||d ||¡}ttjd||dt 
|¡ |¡ƒttj|ddg|dt 
|¡ |¡ƒt  ddg¡}ttj|||dt 
|¡ |¡ƒttj|t |ƒ|dt 
|¡ |¡ƒqtt dd d¡dƒtddƒD]‚}tjd ||d d |¡}tjd    ||d d
d |¡}ttjd|||dt  ||¡ƒttj|t    g|t    g|dt  ||¡ƒqâtddƒD]z}tjd    ||d d
d |¡}tj||d}ttjd|||dt ||¡ƒttj|t    dg|t    dg|dt ||¡ƒqptddƒD]Š}tj|d d
|d |d d
¡}tj||d}ttjd|||dt |j|j¡jƒttj|dt    g|dt    g|dt |j|j¡jƒqötddƒD]p}tjd |dd}tj||dd}ttjd|||dt ||¡ƒttj|dg|dg|dt ||¡ƒqŒtƒâ}| tj¡tddƒD] }tjd||d d|¡}tj||d}ttjd|||dt ||¡ƒttj|ddg|dg|dt ||¡ƒtjd|d}tjd|||dd|dt|t | d¡| d¡¡ |¡ƒd|d<tj|ddg|dg|dd|dt|t | d¡| d¡¡ |¡ƒqtddƒD],}tjd||d d|¡}tj||d}ttjd|j|j|dt |j|j¡ƒttj|jddg|jdg|dt |j|j¡ƒtjd|d}tjd|j|j|dd|dt|t |j d¡|j d¡¡ |¡ƒd|d<tj|jddg|jdg|dd|dt|t |j d¡|j d¡¡ |¡ƒq8tddƒD]˜}|dksŠ|dkrrtjd||d d|¡}tj|d    |d |d    ¡}ttjd|||dt ||¡ƒttj|ddg|dd
g|dt ||¡ƒqrtddƒD]Ú}tjd||d d|¡}tj|d    |d |d    ¡}tjd |d dd    ¡}tjd|||dd|dt|t | d¡| d¡¡ |¡ƒd|d<tj|ddg|dd
g|dd|dt|t | d¡| d¡¡ |¡ƒqtjd|d d d¡}tjd!|d dd"¡}tjd#|d d"d    ¡}|dk    ršttjd$||||d| |¡ |¡ƒttj|ddg|dd
g|d
d g|d| |¡ |¡ƒtjd%|d d d    ¡}    tjd$||||    dd|d| d¡ | d¡¡}
|
 | d¡¡ |¡}
t|    |
ƒd|    d<tj|ddg|dd
g|d
d g|    dd|d
| d¡ | d¡¡}
|
 | d¡¡ |¡}
t|    |
ƒt |¡t d¡k rätjd&|d d dd"¡}tjd |d dd d
¡}tt d'||¡tj||ddgddgfd(ƒtt |ddd
g|ddd gd
d g¡tj||ddgddgfd(ƒtjd)|d d"d
¡}tjd*|||dd|dt|tj| d¡| d¡ddgddgfd( |¡ƒd|d<tj|ddd
g|ddd gd
d g|dd|d    t|tj| d¡| d¡ddgddgfd( |¡ƒW5QRX|jd+k rþd,nt |¡jd} tjdd | ddd-ddg|d}tjdd.d/| ddd dg|d}t d0d0d1d0d0d1d0d0g¡}ttjd2|||d3d|d4t t |dk|dk¡|dk¡ƒttj|dg|dg|dgdgd3dd5    t t |dk|dk¡|dk¡ƒtjd6|d}tt d7d |¡d t |¡ƒtt d g|dgg¡d t |¡ƒtt d8|d ¡d t |¡ƒtt |dgd gg¡d t |¡ƒtdd9ƒD]}tj||d}t |¡jdk r€ttjd:|||dt  ||¡ƒttjd;|||dt ||¡ƒttjd<|d
|dd
|ƒttjd=d
||dd
|ƒttjd8|d
|dd
t |¡ƒttjd7d
||dd
t |¡ƒttjd:|dd…|dd…|dt  |dd…|dd…¡ƒttjd;|dd…|dd…|dt |dd…|dd…¡ƒttjd<|dd…d
|dd
|dd…ƒttjd=d
|dd…|dd
|dd…ƒttjd8|dd…d
|dd
t |dd…¡ƒttjd7d
|dd…|dd
t |dd…¡ƒ q€tjd6td}tjd||dd5}t|t |¡ƒt|jt |¡ƒtj|dgg|dd5}t|t |¡ƒt|jt |¡ƒt d
¡d} t d¡ d
d
¡d } t d¡ d
d
¡d>}tt d?| | |¡d@ƒt dA¡} t dB¡} ttjdC| | d0dtjdC| | d1dƒttjdC| | d0ddDgd
ƒt dEdFg¡}t dGg¡}ttjdH||d1ddIƒttjdH||d0ddIƒt dJ¡d
} t dK¡d
} dLD]L}ttjdM| | |dtjdM| | |dƒttjdM| | |dt dJdN¡ƒq.tj d
|d}tjd
|d}ttjdO|||ddEgƒttjdP|||ddEgƒttjdQ|||ddEgƒdS)RNr é©rúi->rr!)Zaxisrrr
r z    ...i->...z    i...->...rz..., ...r é z
...i, ...ié z
i..., i...úi,jzij, jzij,jÚf8Úunsafe)rrrr.zji,jéÚf2zij,jkrCér ézij,jk,kléé<zijk, jil -> kl©Zaxesé
z ijk,jil->klÚuéþÿÿÿé g @gTFzi,i,i->iú?)rrr)rrr2ú,i->úi,->éz...,...zi,iúi,->iú,i->iéz    z,mz,zm->éý)rYr
©r r
zij,ij->jg$@g@ç@g@zi, ig4@)r r ©r r rú...ij,...jk->...ikgô?zji,i->zi,ij->zij,i->)!r$rr<r'rr%ÚsumÚastyper(rFÚtraceZasarrayÚlistÚmultiplyÚinnerrHÚouterrÚfilterZComplexWarningÚdotÚ    tensordotÚkindZiinfoÚmaxÚarrayÚ logical_andÚitemsizeÚobjectr)rÚfullZeye)r*rr+Únr,Znp_arrayr-ÚsupÚcr"ÚtgtZneg_valÚpÚqÚrr9Úyrr.r.r/Úcheck_einsum_sumsòsº
ÿÿÿÿÿÿÿÿÿÿÿÿ
ÿ
ÿ 
ÿ ÿÿ
ÿ
ÿ
 
ÿ
ÿ ÿ ÿÿÿÿ ÿÿÿÿÿÿ
ÿÿÿÿ
ÿÿÿ
ÿ
ÿÿ ÿÿÿÿ ÿÿÿ
ÿÿÿÿ
ÿ
ÿ"ÿ ÿÿÿ ÿÿÿ ÿþÿþ$$
ÿ """ÿ"ÿ,,ÿÿ
 
ÿÿ  ÿ
ÿþ ÿ
þÿÿÿzTestEinsum.check_einsum_sumscCs| d¡dS)NÚi1©r‚©r*r.r.r/Útest_einsum_sums_int8sz TestEinsum.test_einsum_sums_int8cCs| d¡dS)NÚu1r„r…r.r.r/Útest_einsum_sums_uint8 sz!TestEinsum.test_einsum_sums_uint8cCs| d¡dS)NÚi2r„r…r.r.r/Útest_einsum_sums_int16#sz!TestEinsum.test_einsum_sums_int16cCs| d¡dS)NÚu2r„r…r.r.r/Útest_einsum_sums_uint16&sz"TestEinsum.test_einsum_sums_uint16cCs| d¡| dd¡dS)NÚi4Tr„r…r.r.r/Útest_einsum_sums_int32)s
z!TestEinsum.test_einsum_sums_int32cCs| d¡| dd¡dS)NZu4Tr„r…r.r.r/Útest_einsum_sums_uint32-s
z"TestEinsum.test_einsum_sums_uint32cCs| d¡dS)NÚi8r„r…r.r.r/Útest_einsum_sums_int641sz!TestEinsum.test_einsum_sums_int64cCs| d¡dS)NÚu8r„r…r.r.r/Útest_einsum_sums_uint644sz"TestEinsum.test_einsum_sums_uint64cCs| d¡dS)NrSr„r…r.r.r/Útest_einsum_sums_float167sz#TestEinsum.test_einsum_sums_float16cCs| d¡dS)NZf4r„r…r.r.r/Útest_einsum_sums_float32:sz#TestEinsum.test_einsum_sums_float32cCs| d¡| dd¡dS)NrPTr„r…r.r.r/Útest_einsum_sums_float64=s
z#TestEinsum.test_einsum_sums_float64cCs| tj¡dSr>)r‚r$Z
longdoubler…r.r.r/Útest_einsum_sums_longdoubleAsz&TestEinsum.test_einsum_sums_longdoublecCs| d¡| dd¡dS)NZc8Tr„r…r.r.r/Útest_einsum_sums_cfloat64Ds
z$TestEinsum.test_einsum_sums_cfloat64cCs| d¡dS)NZc16r„r…r.r.r/Útest_einsum_sums_cfloat128Hsz%TestEinsum.test_einsum_sums_cfloat128cCs| tj¡dSr>)r‚r$Z clongdoubler…r.r.r/Útest_einsum_sums_clongdoubleKsz'TestEinsum.test_einsum_sums_clongdoublecCs
t d¡}t d¡}tt d||¡dgdgggƒttjd||dddgdgggƒtt d||¡dgdgggƒtt dddd    gdd    d
g¡d ƒttjdddd    gdd    d
gd dd ƒt d tj¡}t dtj¡}tt d|||¡t d||¡ƒttjd|||ddtjd||ddƒt dd    ¡}t dd¡ dd¡}t dd¡ d
d¡}tt d|||¡dd    gd    dgddgddggddgddgddgddgggƒttjd|||dddd    gd    dgddgddggddgddgddgddgggƒttjddgdgdddggƒdS)Nre)r
r
r zij...,j...->i...r
Trz    ...i,...ir r r rTÚgreedy)r rMr r
r )r rMrNzijklm,ijn,ijn->z ijklm,ijn->r r2z x,yx,zx->xzyércérRéé rCé0é@rO©r)r$r)rr%Úint64r'r()r*r,r-r|r.r.r/Útest_einsum_miscNsB
 
" ÿÿ ÿÿ ÿÿÿÿzTestEinsum.test_einsum_misccs¦t d¡‰t d¡‰tjˆddgˆddgddgddtjˆddgˆddgddgddtjˆdd    gˆd    dgddgddtt‡‡fd
d „ƒtt‡‡fd d „ƒdS) Nr1©r r rrTr
Frr7é3cs"tjˆddgˆddgddgddS)Nré4r
Fr©r$r%r.©r,r-r.r/Ú<lambda>|óz1TestEinsum.test_subscript_range.<locals>.<lambda>cs"tjˆddgˆddgddgddS)Nr!r r
Frr¨r.r©r.r/rª}r«)r$r)r%rr#r…r.r©r/Útest_subscript_rangets
 
"""zTestEinsum.test_subscript_rangec Cs<t d¡ ddd¡}t d¡}tjd||dd}dD]L}ttjd    |||d|ƒttjd
|||d|ƒttjd |||d|ƒq4t d ¡ d ¡}t d¡ d¡}tjd||dd}dD]d}ttjd|||d|ƒttjd|||d|ƒttjd|||d|ƒttjd|||d|ƒq¸ddddg}t t |¡¡ |¡}t |d¡}tjd||dd}dD]N}ttjd|||d|ƒttjd|||d|ƒttjd|||d|ƒqdd\}}    }
t ||    |
¡ ddd||    |
¡}t ||    |
d¡ ||    |
d¡}tjd||dd}dD]}ttjd|||d|ƒqdS)NrCr
r r z
ijk,j->ijkFrrzij...,j...->ij...zij...,...j->ij...zij...,j->ij...rM©r r r)r r
z    ik,kj->ijzik...,k...->i...zik...,...kj->i...jz...k,kjz ik,k...->i...r z ijkl,k->ijlzijkl,kz...kl,kz
...kl,k...)é r®éxr z...lmn,...lmno->...oz...lmn,lmno->...o)r$r'r(r%rÚprod) r*ÚAÚBÚrefÚoptÚdimsr,ÚvÚJÚKÚMr.r.r/Útest_einsum_broadcastsB
 
"" ÿÿz TestEinsum.test_einsum_broadcastcCsÂt d¡ dd¡ tj¡}t d¡ ddd¡ tj¡}t d||¡}tj||dd}t||ƒt d    ¡ dd¡ tj    ¡}t d
¡ ddd d ¡ tj¡}t d ||¡}tj||dd}t||ƒdS) Nrr
r i@i«
z cl, cpx->lpx)rrrXr2ir¡zcl, cpxy->lpxy)
r$r'r(rjÚfloat32Úint16r%rrrÚfloat64)r*r±r²ÚesÚtpr.r.r/Útest_einsum_fixedstridebug©s
z%TestEinsum.test_einsum_fixedstridebugcCsjtj ddd¡}t d¡}tjd||dt d¡}||dd…df|dd…df||f}t||ƒdS)Nrr )r r r r rgzaabb->abr¢r )r$ÚrandomÚnormalÚzerosr%r'r)r*r9Úy1ÚidxÚy2r.r.r/Útest_einsum_fixed_collapsingbugÇs 
 
(z*TestEinsum.test_einsum_fixed_collapsingbugcCs8tj d¡}t d|¡}|jddd ¡}t||ƒdS)N)rYrYrYrYzijij->rr
)Zaxis1Zaxis2)r$rÁZ random_sampler%rkr    )r*Ztensorr9rr.r.r/Ú"test_einsum_failed_on_p9_and_s390xÑs  z-TestEinsum.test_einsum_failed_on_p9_and_s390xcCsÚt d¡}t d¡ddd…}t d¡}d|ddd…<tjd||||dt|j|ƒt d¡ddd…}tjd||||dt|j|ƒt d¡d    }t d¡}d|d    <t d
tj¡}tjd |||dt|j|ƒdS) NrgrYr
r z mi,mi,mi->mr¢z im,im,im->m)r
r
r
).r)r
r
ú    ij,jk->ik)r$r)r%rrEr»)r*r9rZ correct_baser.r.r/Ú(test_einsum_all_contig_non_contig_outputÙs
 
 
z3TestEinsum.test_einsum_all_contig_non_contig_outputrZAllFloatZ
AllIntegercCsØt |¡}t d¡d |¡}tjd|d}t d|¡}|| ¡ksHt‚t d||¡}t|||ƒt d|     d¡ddd…|     d¡ddd…¡}t|||ƒt d||¡|| ¡ks¾t‚tj
d|d}tjd||  d¡|d    }t|||  d¡ƒt d
||¡}t|||  d¡ƒt d ||¡}|t d||¡ksBt‚t d ||¡}|t d||¡ksjt‚tjddd ddg|d}t d|||¡}t|||| ¡ƒt d||||¡}t||||| ¡ƒdS)Nrcgà?r
rKrLzi,i->izi,i->rar¢rbr^r_gÐ?g@rfzi,i,i->z    i,i,i,i->) r$rr'rjrur%riÚAssertionErrorrÚrepeatr)Útype)r*rÚarrZscalarÚresrr.r.r/Útest_different_pathsðs0
 .zTestEinsum.test_different_pathscCshtjdtjddd…}d|d<tjdtjddd…}tjdtjd}tjd|||d}t||ƒdS)    N)ržr r rKr
T.)r
r r rhr¢)r$rÃZbool_r)r%r)r*r,rr}rÏr.r.r/Útest_small_boolean_arrayss z$TestEinsum.test_small_boolean_arrayscCs4t d¡ dd¡}tjd|||d}||ks0t‚dS)Nr2r rhr¢)r$r'r(r%rË)r*r,rÏr.r.r/Útest_out_is_res(szTestEinsum.test_out_is_resNc    Cs |dkrN|g}| d¡d d¡}|D]$}dd„|Dƒ}| tjj|Ž¡q&n
|g|}tj|ddiŽ}tj|ddiŽ}t||ƒtj|dd    iŽ}t||ƒdS)
Nú->rrcSsg|] }t|‘qSr.)Úglobal_size_dict©r4r9r.r.r/r64sz/TestEinsum.optimize_compare.<locals>.<listcomp>rFr›Úoptimal)ÚsplitÚappendr$rÁÚrandr%r)    r*Z
subscriptsÚoperandsÚargsÚtermsÚtermrµÚnooptr´r.r.r/Úoptimize_compare-s
 
zTestEinsum.optimize_comparecCs| d¡| d¡dS)Nz a,ab,abc->abcz
a,b,ab->ab©rßr…r.r.r/Útest_hadamard_like_products?s
z&TestEinsum.test_hadamard_like_productscCs"| d¡| d¡| d¡dS)Nzea,fb,gc,hd,abcd->efghzea,fb,abcd,gc,hd->efghzabcd,ea,fb,gc,hd->efghràr…r.r.r/Útest_index_transformationsDs
 
z%TestEinsum.test_index_transformationscCsT| d¡| d¡| d¡| d¡| d¡| d¡| d¡| d¡dS)Nú$acdf,jbje,gihb,hfac,gfac,gifabc,hfacz cd,bdhe,aidb,hgca,gc,hgibcd,hgaczabhe,hidj,jgba,hiab,gabz bde,cdh,agdb,hica,ibd,hgicd,hiaczchd,bde,agbc,hiad,hgc,hgi,hiadúchd,bde,agbc,hiad,bdi,cgh,agdbzbdhe,acad,hiab,agac,hibdràr…r.r.r/Ú test_complexJs
 
 
 
 
 
 
zTestEinsum.test_complexcCs@| d¡| d¡| d¡| d¡| d¡| d¡dS)Nz    ab,ab,c->z
ab,ab,c->cz ab,ab,cd,cd->zab,ab,cd,cd->aczab,ab,cd,cd->cdzab,ab,cd,cd,ef,ef->ràr…r.r.r/Ú test_collapseUs 
 
 
 
 
zTestEinsum.test_collapsecCs@| d¡| d¡| d¡| d¡| d¡| d¡dS)Nzab,cd,ef->abcdefzab,cd,ef->acdfzab,cd,de->abcdez ab,cd,de->bezab,bcd,cd->abcdzab,bcd,cd->abdràr…r.r.r/Ú test_expand^s 
 
 
 
 
zTestEinsum.test_expandcCs|| d¡| d¡| d¡| d¡| d¡| d¡| d¡| d¡| d    ¡| d
¡| d ¡| d ¡dS) Nú eb,cb,fb->cefúdd,fb,be,cdb->cefúbca,cdb,dbf,afc->údcc,fce,ea,dbf->abzfdf,cdd,ccd,afe->aezabcd,adzed,fcd,ff,bcf->bezbaa,dcf,af,cde->bezbd,db,eac->acezfff,fae,bef,def->abdzefc,dbc,acf,fd->abez ba,ac,da->bcdràr…r.r.r/Útest_edge_casesgs
 
 
 
 
 
 
 
 
 
 
zTestEinsum.test_edge_casescCs6| d¡| d¡| d¡| d¡| d¡dS)Nzab,abzab,bazabc,abczabc,baczabc,cbaràr…r.r.r/Útest_inner_productvs
 
 
 
 
zTestEinsum.test_inner_productcCsr| d¡| d¡| d¡| d¡| d¡| d¡| d¡| d¡| d    ¡| d
¡| d ¡dS) Nzaab,fa,df,ecc->bdezecb,fef,bad,ed->aczbcf,bbb,fbf,fc->z bb,ff,be->ezbcb,bb,fc,fff->zfbb,dfd,fc,fc->zafd,ba,cc,dc->bfzadb,bc,fa,cfc->dzbbd,bda,fc,db->acfzdba,ead,cad->bcezaef,fbc,dca->bderàr…r.r.r/Útest_random_cases~s
 
 
 
 
 
 
 
 
 
zTestEinsum.test_random_casescCs4t d¡ ddddd¡}t d|¡}t|dgƒdS)Nr2r r zbbcdc->drM)r$r'r(r%r)r*r,r-r.r.r/Útest_combined_views_mappingŒs z&TestEinsum.test_combined_views_mappingcCsÖtj ddd¡}tj dd¡}tj dd¡}tj d¡}|jd|||gd|jd||||gdtj dddd¡}tj d    d    ¡}|jd
|||gd|jd ||||gdt d ¡ d dd¡}|jd||gddS)Nr r r rrYz    ijk,kl,jl)rÚzijk,kl,jl,i->ircz
abjk,kl,jlzabjk,kl,jl,ab->abr¡r
rRz obk,ijk->ioj)r$rÁrÙrßr'r()r*r,r-r|r"ÚeÚfÚgr.r.r/Útest_broadcasting_dot_cases’s z&TestEinsum.test_broadcasting_dot_casescCsbtjddd}tjddd}dD]Ê}tjd||d|d}t|jjƒtjd||d    |d}t|jjƒtjd||d
|d}t|jjƒtjd||d |d}t|jjd kƒt|jjd kƒtjd|||d }t|jjd kƒt|jjd kƒq tjddd}dD]$}tjd||d|d}t|jjƒqþtjddd}dD]&}tjd||d|d}t|jjƒq6dS)N)r
r r ÚF)rr­rz...ft,mf->...mtr,rrñr|ÚkFrÚC)r$r)r%rrGÚ f_contiguousÚ c_contiguous)r*r,r-r´Útmpr|r"r.r.r/Útest_output_order¦s.   zTestEinsum.test_output_order)F)N)1Ú__name__Ú
__module__Ú __qualname__r0rIr$Z_no_nep50_warningr‚r†rˆrŠrŒrŽrr‘r“r”r•r–r—r˜r™ršr¤r¬rºrÀrÇrÈrÊÚpytestÚmarkZ parametrizeZ    typecodesrÐrÑrÒrßrárârårærçrìrírîrïrórúr.r.r.r/rs^U  ,& *
ÿ
,
 
         rc@sXeZdZefdd„Zdd„Zdd„Zdd„Zd    d
„Zd d „Z    d d„Z
dd„Z dd„Z dS)ÚTestEinsumPathcsL|g}| d¡d d¡}|D](}‡fdd„|Dƒ}| tjj|Ž¡q|S)NrÓrrcsg|] }ˆ|‘qSr.r.rÕ©Ú    size_dictr.r/r6Ñsz1TestEinsumPath.build_operands.<locals>.<listcomp>)r×rØr$rÁrÙ)r*ÚstringrrÚrÜrÝrµr.rr/Úbuild_operandsËs zTestEinsumPath.build_operandscCslt|ƒt|ƒk}t|ƒtt|ƒdƒD]6}|t||dtƒM}|||d||dkM}q(t|ƒdS)Nr )Úlenrr<Ú
isinstanceÚtuple)r*ÚcompZ    benchmarkÚretÚposr.r.r/Úassert_path_equalÖs z TestEinsumPath.assert_path_equalcCs¨| d¡}tj|ddiŽ\}}| |ddg¡tj|ddiŽ\}}| |ddg¡| d¡}tj|ddiŽ\}}| |ddg¡tj|ddiŽ\}}| |ddg¡dS)    Nz
a,b,c->abcr)r›rÚ einsum_path)rr r
)rÖrzacdf,jbje,gihb,hfac©rr r
r ©rr$r r )r*Z
outer_testÚpathÚpath_strZ    long_testr.r.r/Útest_memory_contraintsßs
 
z%TestEinsumPath.test_memory_contraintsc
CsÐ| d¡}tj|ddiŽ\}}| |dddddd    d
g¡tj|dd iŽ\}}| |dddddd    d
g¡| d ¡}tj|ddiŽ\}}| |ddd dddd
g¡tj|dd iŽ\}}| |ddddddd
g¡dS)Nrãrr›r )r rr¥)r
r r1©rr
©rr rÖrä©rr )r r re)rr )r r r)r*Z
long_test1rrZ
long_test2r.r.r/Útest_long_pathsñsL
ÿÿ
ÿÿzTestEinsumPath.test_long_pathscCsÌ| d¡}tj|ddiŽ\}}| |dddg¡tj|ddiŽ\}}| |dddg¡| d¡}tj|ddiŽ\}}| |dd    ddg¡tj|ddiŽ\}}| |dd    ddg¡| d
¡}tj|ddiŽ\}}| |dd ddg¡tj|ddiŽ\}}| |dd ddg¡| d ¡}tj|ddiŽ\}}| |dd ddg¡tj|ddiŽ\}}| |dd ddg¡|jd dddddœd}tj|ddiŽ\}}| |dddg¡tj|ddiŽ\}}| |dddg¡dS)Nrèrr›r rrrÖrérrêrerëza,ac,ab,ad,cd,bd,bc->rT)r,r-r|r"r)rr r
r r r r)r*Z
edge_test1rrZ
edge_test2Z
edge_test3Z
edge_test4r.r.r/Útest_edge_pathss6
 
 
 
 ÿzTestEinsumPath.test_edge_pathscCs°| d¡}tj|ddiŽ\}}| |ddg¡tj|ddiŽ\}}| |ddddg¡dd    d    dg}tj|d|iŽ\}}| ||¡tj|ddiŽ}tj|d|iŽ}t||ƒdS)
NrërFr r Trerr©rr$r r r%r)r*Ú    path_testrrÚexp_pathrÞr´r.r.r/Útest_path_type_input4s
  z#TestEinsumPath.test_path_type_inputcCsb| d¡}dddg}tj|d|iŽ\}}| ||¡tj|ddiŽ}tj|d|iŽ}t||ƒdS)Nz cab,cdd->abr ©r rrFr)r*rrrrrÞr´r.r.r/Ú#test_path_type_input_internal_traceGs
 
 z2TestEinsumPath.test_path_type_input_internal_tracecCsŒ| d¡}dddg}tttjf|žd|iŽtttjf|žd|iŽ| d¡}dddg}tttjf|žd|iŽtttjf|žd|iŽdS)Nzab,bc,cd,de->aer r1rrza,a,a->ar)rrÚ RuntimeErrorr$r%r )r*rrr.r.r/Útest_path_type_input_invalidTs,
 
ÿÿÿ
 
ÿÿÿz+TestEinsumPath.test_path_type_input_invalidcCs<t dgg¡}tjddgddD]}t dj|Ž|¡q dS)Nr rú r )rÌz{}...a{}->{}...a{})r$ruÚ    itertoolsÚproductr%Úformat)r*rÎÚspr.r.r/Ú test_spacesaszTestEinsumPath.test_spacesN) rûrürýrÔrr rrrrrrr$r.r.r.r/rÊs     ,  rcCsptjdtd dd¡}tjdtd dd¡}t ||¡}t d||¡}t||ƒtjd|||d}t||ƒdS)Nr2rKr rÉr¢)r$r'Úintr(rqr%r)r,r-r"r|r.r.r/Ú test_overlaphs 
r&)r rþÚnumpyr$Z numpy.testingrrrrrrrr    ÚcharsruÚsizesÚdictÚziprÔrrr&r.r.r.r/Ú<module>s"( @