How to use is_positive method in assertpy

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test_arit.py

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1from sympy import Symbol, sin, cos, exp, O, sqrt, Rational, re2from sympy.utilities.pytest import XFAIL3def test_bug1():4 x=Symbol("x")5 assert re(x) != x6 x.series(x,1)7 assert re(x) != x8a = Symbol("a")9b = Symbol("b", positive=True)10c = Symbol("c")11def test_Symbol():12 assert str(a)=="a"13 assert str(b)=="b"14 e=a*b15 assert e==a*b16 assert a*b*b==a*b**217 assert a*b*b+c==c+a*b**218 assert a*b*b-c==-c+a*b**219def test_arit():20 p = Rational(5)21 e=a*b22 assert e == a*b23 e=a*b+b*a24 assert e == 2*a*b25 e=a*b+b*a+a*b+p*b*a26 assert e == 8*a*b27 e=a*b+b*a+a*b+p*b*a+a28 assert e == a+8*a*b29 e=a+a30 assert e == 2*a31 e=a+b+a32 assert e == b+2*a33 e=a+b*b+a+b*b34 assert e == 2*a+2*b**235 e=a+Rational(2)+b*b+a+b*b+p36 assert e == 7+2*a+2*b**237 e=(a+b*b+a+b*b)*p38 assert e == 5*(2*a+2*b**2)39 e=(a*b*c+c*b*a+b*a*c)*p40 assert e == 15*a*b*c41 e=(a*b*c+c*b*a+b*a*c)*p-Rational(15)*a*b*c42 assert e == Rational(0)43 e = Rational(50)*(a-a)44 assert e == Rational(0)45 e=b*a-b-a*b+b46 assert e == Rational(0)47 e=a*b+c**p48 assert e == a*b+c**549 e=a/b50 assert e == a*b**(-1)51 e=a*2*252 assert e == 4*a53 e=2+a*2/254 assert e == 2+a55 e=2-a-256 assert e == -a57 e=2*a*258 assert e == 4*a59 e=2/a/260 assert e == a**(-1)61 e=2**a**262 assert e == 2**(a**2)63 e = -(1+a)64 assert e == -1 -a65 e = Rational(1,2)*(1+a)66 assert e == Rational(1,2) + a/267def testdiv():68 e=a/b69 assert e == a*b**(-1)70 e=a/b+c/271 assert e == a*b**(-1)+Rational(1)/2*c72 e=(1-b)/(b-1)73 assert e == (1+-b)*((-1)+b)**(-1)74def testpow():75 n1 = Rational(1)76 n2 = Rational(2)77 n5 = Rational(5)78 e=a*a79 assert e == a**280 e=a*a*a81 assert e == a**382 e=a*a*a*a**Rational(6)83 assert e == a**984 e=a*a*a*a**Rational(6)-a**Rational(9)85 assert e == Rational(0)86 e=a**(b+c)*a**(-b)87 assert e == a**c88 e=a**(b+c)*a*a**(-b)*a**(-c)/a89 assert e == Rational(1)90 e=a**(b-b)91 assert e == Rational(1)92 e=(a-a)**b93 assert e == Rational(0)94 e=(a+Rational(1)-a)**b95 assert e == Rational(1)96 e=(a+b+c)**n297 assert e == (a+b+c)**298 assert e.expand() == 2*b*c+2*a*c+2*a*b+a**2+c**2+b**299 e=(a+b)**n2100 assert e == (a+b)**2101 assert e.expand() == 2*a*b+a**2+b**2102 e=(a+b)**(n1/n2)103 assert e == (a+b)**(Rational(1)/2)104 assert e.expand() == (a+b)**(Rational(1)/2)105 n=n5**(n1/n2)106 assert n == Rational(5)**(Rational(1)/2)107 e=n*a*b-n*b*a108 assert e == Rational(0)109 e=n*a*b+n*b*a110 assert e == 2*a*b*5**(Rational(1)/2)111 assert e.diff(a) == 2*b*5**(Rational(1)/2)112 assert e.diff(a) == 2*b*5**(Rational(1)/2)113 e=a/b**2114 assert e == a*b**(-2)115 assert sqrt(2*(1+sqrt(2))) == (2*(1+2**(Rational(1,2))))**(Rational(1,2))116 x = Symbol('x')117 y = Symbol('y')118 assert ((x*y)**3).expand() == y**3 * x**3119 assert ((x*y)**-3).expand() == y**-3 * x**-3120 assert (x**5*(3*x)**(3)).expand() == 27 * x**8121 assert (x**5*(-3*x)**(3)).expand() == -27 * x**8122 assert (x**5*(3*x)**(-3)).expand() == Rational(1,27) * x**2123 assert (x**5*(-3*x)**(-3)).expand() == -Rational(1,27) * x**2124 n = Symbol('k', even=False)125 k = Symbol('k', even=True)126 assert (-1)**x == (-1)**x127 assert (-1)**n == (-1)**n128 assert (-2)**k == 2**k129 assert (-1)**k == 1130@XFAIL131def test_pow2():132 # XXX These fail - they are maybe discutable, 133 # let's see SAGE and similar.134 assert ((-x)**2)**Rational(1,3) == ((-x)**Rational(1,3))**2135 assert (-x)**Rational(2,3) == x**Rational(2,3)136 assert (-x)**Rational(5,7) == -x**Rational(5,7)137def test_pow_issue417():138 assert 4**Rational(1, 4) == 2**Rational(1, 2)139def test_pow3():140 assert 2**(Rational(3)/2) == 2 * 2**Rational(1, 2)141 assert 2**(Rational(3)/2) == sqrt(8)142def test_expand():143 p = Rational(5)144 e = (a+b)*c145 assert e == c*(a+b)146 assert (e.expand()-a*c-b*c) == Rational(0)147 e=(a+b)*(a+b)148 assert e == (a+b)**2149 assert e.expand() == 2*a*b+a**2+b**2150 e=(a+b)*(a+b)**Rational(2)151 assert e == (a+b)**3152 assert e.expand() == 3*b*a**2+3*a*b**2+a**3+b**3153 assert e.expand() == 3*b*a**2+3*a*b**2+a**3+b**3154 e=(a+b)*(a+c)*(b+c)155 assert e == (a+c)*(a+b)*(b+c)156 assert e.expand() == 2*a*b*c+b*a**2+c*a**2+b*c**2+a*c**2+c*b**2+a*b**2157 e=(a+Rational(1))**p158 assert e == (1+a)**5159 assert e.expand() == 1+5*a+10*a**2+10*a**3+5*a**4+a**5160 e=(a+b+c)*(a+c+p)161 assert e == (5+a+c)*(a+b+c)162 assert e.expand() == 5*a+5*b+5*c+2*a*c+b*c+a*b+a**2+c**2163 x=Symbol("x")164 s=exp(x*x)-1165 e=s.series(x,5)/x**2166 assert e.expand() == 1+x**2/2+O(x**3)167 # Check that this isn't too slow168 x = Symbol('x')169 W = 1170 for i in range(1, 21):171 W = W * (x-i)172 W = W.expand()173 assert W.has(-1672280820*x**15)174def test_power_expand():175 """Test for Pow.expand()"""176 a = Symbol('a')177 b = Symbol('b')178 p = (a+b)**2179 assert p.expand() == a**2 + b**2 + 2*a*b180 p = (1+2*(1+a))**2181 assert p.expand() == 9 + 4*(a**2) + 12*a182def test_ncmul():183 A = Symbol("A", commutative=False)184 B = Symbol("B", commutative=False)185 C = Symbol("C", commutative=False)186 assert A*B != B*A187 assert A*B*C != C*B*A188 assert A*b*B*3*C == 3*b*A*B*C189 assert A*b*B*3*C != 3*b*B*A*C190 assert A*b*B*3*C == 3*A*B*C*b191 assert A+B == B+A192 assert (A+B)*C != C*(A+B)193 assert C*(A+B)*C != C*C*(A+B)194 assert (C*(A+B)).expand() == C*A+C*B195 assert (C*(A+B)).expand() != A*C+B*C196 assert A*A == A**2197 assert (A+B)*(A+B) == (A+B)**2198 assert ((A+B)**2).expand() == A**2 + A*B + B*A +B**2199 assert A**-1 * A == 1200 assert A/A == 1201 assert A/(A**2) == 1/A202 assert A/(1+A) == A/(1+A)203def test_ncpow():204 x = Symbol('x', commutative=False)205 y = Symbol('y', commutative=False)206 assert (x**2)*(y**2) != (y**2)*(x**2)207 assert (x**-2)*y != y*(x**2)208def test_powerbug():209 x=Symbol("x")210 assert x**1 != (-x)**1211 assert x**2 == (-x)**2212 assert x**3 != (-x)**3213 assert x**4 == (-x)**4214 assert x**5 != (-x)**5215 assert x**6 == (-x)**6216 assert x**128 == (-x)**128217 assert x**129 != (-x)**129218 assert (2*x)**2 == (-2*x)**2219def test_Add_Mul_is_integer():220 x = Symbol('x')221 k = Symbol('k', integer=True)222 n = Symbol('n', integer=True)223 assert (2*k).is_integer == True224 assert (-k).is_integer == True225 assert (k/3).is_integer == False226 assert (x*k*n).is_integer == None227 assert (k+n).is_integer == True228 assert (k+x).is_integer == None229 assert (k+n*x).is_integer == None230 assert (k+n/3).is_integer == False231def test_Add_Mul_is_bounded():232 x = Symbol('x', real=True, bounded=False)233 assert sin(x).is_bounded == True234 assert (x*sin(x)).is_bounded == False235 assert (1024*sin(x)).is_bounded == True236 assert (sin(x)*exp(x)).is_bounded == False237 assert (sin(x)*cos(x)).is_bounded == True238 assert (x*sin(x)*exp(x)).is_bounded == False239 assert (sin(x)-67).is_bounded == True240 assert (sin(x)+exp(x)).is_bounded == False241def test_Mul_is_even_odd():242 x = Symbol('x', integer=True)243 k = Symbol('k', odd=True)244 n = Symbol('n', odd=True)245 m = Symbol('m', even=True)246 assert (2*x).is_even == True247 assert (2*x).is_odd == False248 assert (3*x).is_even == None249 assert (3*x).is_odd == None250 assert (k/3).is_even == None251 assert (k/3).is_odd == None252 assert (2*n).is_even == True253 assert (2*n).is_odd == False254 assert (2*m).is_even == True255 assert (2*m).is_odd == False256 assert (-n).is_even == False257 assert (-n).is_odd == True258 assert (k*n).is_even == False259 assert (k*n).is_odd == True260 assert (k*m).is_even == True261 assert (k*m).is_odd == False262 assert (k*n*m).is_even == True263 assert (k*n*m).is_odd == False264 assert (k*m*x).is_even == True265 assert (k*m*x).is_odd == False266def test_Add_is_even_odd():267 x = Symbol('x', integer=True)268 k = Symbol('k', odd=True)269 n = Symbol('n', even=True)270 assert (2+k).is_even == False271 assert (2+k).is_odd == True272 assert (7-k).is_even == True273 assert (7-k).is_odd == False274 assert (11-n).is_even == False275 assert (11-n).is_odd == True276 assert (-8+n).is_even == True277 assert (-8+n).is_odd == False278 assert (n+k).is_even == False279 assert (n+k).is_odd == True280 assert (n-k).is_even == False281 assert (n-k).is_odd == True282 assert (n+2*k).is_even == True283 assert (n+2*k).is_odd == False284 assert (k+n+x).is_odd == None285 assert (k+n-x).is_even == None286 assert (2*k+n*x).is_odd == None287 assert (2*k+n*x).is_even == None288def test_Mul_is_negative_positive():289 x = Symbol('x', real=True)290 y = Symbol('y', real=False)291 k = Symbol('k', negative=True)292 n = Symbol('n', positive=True)293 u = Symbol('u', nonnegative=True)294 v = Symbol('v', nonpositive=True)295 assert k.is_negative == True296 assert (-k).is_negative == False297 assert (2*k).is_negative == True298 assert n.is_negative == False299 assert (-n).is_negative == True300 assert (2*n).is_negative == False301 assert (n*k).is_negative == True302 assert (2*n*k).is_negative == True303 assert (-n*k).is_negative == False304 assert (n*k*y).is_negative == None305 assert u.is_negative == False306 assert (-u).is_negative == None307 assert (2*u).is_negative == False308 assert v.is_negative == None309 assert (-v).is_negative == False310 assert (2*v).is_negative == None311 assert (u*v).is_negative == None312 assert (k*u).is_negative == None313 assert (k*v).is_negative == False314 assert (n*u).is_negative == False315 assert (n*v).is_negative == None316 assert (v*k*u).is_negative == False317 assert (v*n*u).is_negative == None318 assert (-v*k*u).is_negative == None319 assert (-v*n*u).is_negative == False320 assert (17*v*k*u).is_negative == False321 assert (17*v*n*u).is_negative == None322 assert (k*v*n*u).is_negative == False323 assert (x*k).is_negative == None324 assert (u*v*n*x*k).is_negative == None325 assert k.is_positive == False326 assert (-k).is_positive == True327 assert (2*k).is_positive == False328 assert n.is_positive == True329 assert (-n).is_positive == False330 assert (2*n).is_positive == True331 assert (n*k).is_positive == False332 assert (2*n*k).is_positive == False333 assert (-n*k).is_positive == True334 assert (-n*k*y).is_positive == None335 assert u.is_positive == None336 assert (-u).is_positive == False337 assert (2*u).is_positive == None338 assert v.is_positive == False339 assert (-v).is_positive == None340 assert (2*v).is_positive == False341 assert (u*v).is_positive == False342 assert (k*u).is_positive == False343 assert (k*v).is_positive == None344 assert (n*u).is_positive == None345 assert (n*v).is_positive == False346 assert (v*k*u).is_positive == None347 assert (v*n*u).is_positive == False348 assert (-v*k*u).is_positive == False349 assert (-v*n*u).is_positive == None350 assert (17*v*k*u).is_positive == None351 assert (17*v*n*u).is_positive == False352 assert (k*v*n*u).is_positive == None353 assert (x*k).is_positive == None354 assert (u*v*n*x*k).is_positive == None355def test_Mul_is_nonpositive_nonnegative():356 x = Symbol('x', real=True)357 k = Symbol('k', negative=True)358 n = Symbol('n', positive=True)359 u = Symbol('u', nonnegative=True)360 v = Symbol('v', nonpositive=True)361 assert k.is_nonpositive == True362 assert (-k).is_nonpositive == False363 assert (2*k).is_nonpositive == True364 assert n.is_nonpositive == False365 assert (-n).is_nonpositive == True366 assert (2*n).is_nonpositive == False367 assert (n*k).is_nonpositive == True368 assert (2*n*k).is_nonpositive == True369 assert (-n*k).is_nonpositive == False370 assert u.is_nonpositive == None371 assert (-u).is_nonpositive == True372 assert (2*u).is_nonpositive == None373 assert v.is_nonpositive == True374 assert (-v).is_nonpositive == None375 assert (2*v).is_nonpositive == True376 assert (u*v).is_nonpositive == True377 assert (k*u).is_nonpositive == True378 assert (k*v).is_nonpositive == None379 assert (n*u).is_nonpositive == None380 assert (n*v).is_nonpositive == True381 assert (v*k*u).is_nonpositive == None382 assert (v*n*u).is_nonpositive == True383 assert (-v*k*u).is_nonpositive == True384 assert (-v*n*u).is_nonpositive == None385 assert (17*v*k*u).is_nonpositive == None386 assert (17*v*n*u).is_nonpositive == True387 assert (k*v*n*u).is_nonpositive == None388 assert (x*k).is_nonpositive == None389 assert (u*v*n*x*k).is_nonpositive == None390 assert k.is_nonnegative == False391 assert (-k).is_nonnegative == True392 assert (2*k).is_nonnegative == False393 assert n.is_nonnegative == True394 assert (-n).is_nonnegative == False395 assert (2*n).is_nonnegative == True396 assert (n*k).is_nonnegative == False397 assert (2*n*k).is_nonnegative == False398 assert (-n*k).is_nonnegative == True399 assert u.is_nonnegative == True400 assert (-u).is_nonnegative == None401 assert (2*u).is_nonnegative == True402 assert v.is_nonnegative == None403 assert (-v).is_nonnegative == True404 assert (2*v).is_nonnegative == None405 assert (u*v).is_nonnegative == None406 assert (k*u).is_nonnegative == None407 assert (k*v).is_nonnegative == True408 assert (n*u).is_nonnegative == True409 assert (n*v).is_nonnegative == None410 assert (v*k*u).is_nonnegative == True411 assert (v*n*u).is_nonnegative == None412 assert (-v*k*u).is_nonnegative == None413 assert (-v*n*u).is_nonnegative == True414 assert (17*v*k*u).is_nonnegative == True415 assert (17*v*n*u).is_nonnegative == None416 assert (k*v*n*u).is_nonnegative == True417 assert (x*k).is_nonnegative == None418 assert (u*v*n*x*k).is_nonnegative == None419def test_Add_is_even_odd():420 x = Symbol('x', integer=True)421 k = Symbol('k', odd=True)422 n = Symbol('n', odd=True)423 m = Symbol('m', even=True)424 assert (k+7).is_even == True425 assert (k+7).is_odd == False426 assert (-k+7).is_even == True427 assert (-k+7).is_odd == False428 assert (k-12).is_even == False429 assert (k-12).is_odd == True430 assert (-k-12).is_even == False431 assert (-k-12).is_odd == True432 assert (k+n).is_even == True433 assert (k+n).is_odd == False434 assert (k+m).is_even == False435 assert (k+m).is_odd == True436 assert (k+n+m).is_even == True437 assert (k+n+m).is_odd == False438 assert (k+n+x+m).is_even == None439 assert (k+n+x+m).is_odd == None440def test_Add_is_negative_positive():441 x = Symbol('x', real=True)442 k = Symbol('k', negative=True)443 n = Symbol('n', positive=True)444 u = Symbol('u', nonnegative=True)445 v = Symbol('v', nonpositive=True)446 assert (k-2).is_negative == True447 assert (k+17).is_negative == None448 assert (-k-5).is_negative == None449 assert (-k+123).is_negative == False450 assert (k-n).is_negative == True451 assert (k+n).is_negative == None452 assert (-k-n).is_negative == None453 assert (-k+n).is_negative == False454 assert (k-n-2).is_negative == True455 assert (k+n+17).is_negative == None456 assert (-k-n-5).is_negative == None457 assert (-k+n+123).is_negative == False458 assert (-2*k+123*n+17).is_negative == False459 assert (k+u).is_negative == None460 assert (k+v).is_negative == True461 assert (n+u).is_negative == False462 assert (n+v).is_negative == None463 assert (u-v).is_negative == False464 assert (u+v).is_negative == None465 assert (-u-v).is_negative == None466 assert (-u+v).is_negative == None467 assert (u-v+n+2).is_negative == False468 assert (u+v+n+2).is_negative == None469 assert (-u-v+n+2).is_negative == None470 assert (-u+v+n+2).is_negative == None471 assert (k+x).is_negative == None472 assert (k+x-n).is_negative == None473 assert (k-2).is_positive == False474 assert (k+17).is_positive == None475 assert (-k-5).is_positive == None476 assert (-k+123).is_positive == True477 assert (k-n).is_positive == False478 assert (k+n).is_positive == None479 assert (-k-n).is_positive == None480 assert (-k+n).is_positive == True481 assert (k-n-2).is_positive == False482 assert (k+n+17).is_positive == None483 assert (-k-n-5).is_positive == None484 assert (-k+n+123).is_positive == True485 assert (-2*k+123*n+17).is_positive == True486 assert (k+u).is_positive == None487 assert (k+v).is_positive == False488 assert (n+u).is_positive == True489 assert (n+v).is_positive == None490 assert (u-v).is_positive == None491 assert (u+v).is_positive == None492 assert (-u-v).is_positive == None493 assert (-u+v).is_positive == False494 assert (u-v-n-2).is_positive == None495 assert (u+v-n-2).is_positive == None496 assert (-u-v-n-2).is_positive == None497 assert (-u+v-n-2).is_positive == False498 assert (n+x).is_positive == None499 assert (n+x-k).is_positive == None500def test_Add_is_nonpositive_nonnegative():501 x = Symbol('x', real=True)502 k = Symbol('k', negative=True)503 n = Symbol('n', positive=True)504 u = Symbol('u', nonnegative=True)505 v = Symbol('v', nonpositive=True)506 assert (u-2).is_nonpositive == None507 assert (u+17).is_nonpositive == False508 assert (-u-5).is_nonpositive == True509 assert (-u+123).is_nonpositive == None510 assert (u-v).is_nonpositive == None511 assert (u+v).is_nonpositive == None512 assert (-u-v).is_nonpositive == None513 assert (-u+v).is_nonpositive == True514 assert (u-v-2).is_nonpositive == None515 assert (u+v+17).is_nonpositive == None516 assert (-u-v-5).is_nonpositive == None517 assert (-u+v-123).is_nonpositive == True518 assert (-2*u+123*v-17).is_nonpositive == True519 assert (k+u).is_nonpositive == None520 assert (k+v).is_nonpositive == True521 assert (n+u).is_nonpositive == False522 assert (n+v).is_nonpositive == None523 assert (k-n).is_nonpositive == True524 assert (k+n).is_nonpositive == None525 assert (-k-n).is_nonpositive == None526 assert (-k+n).is_nonpositive == False527 assert (k-n+u+2).is_nonpositive == None528 assert (k+n+u+2).is_nonpositive == None529 assert (-k-n+u+2).is_nonpositive == None530 assert (-k+n+u+2).is_nonpositive == False531 assert (u+x).is_nonpositive == None532 assert (v-x-n).is_nonpositive == None533 assert (u-2).is_nonnegative == None534 assert (u+17).is_nonnegative == True535 assert (-u-5).is_nonnegative == False536 assert (-u+123).is_nonnegative == None537 assert (u-v).is_nonnegative == True538 assert (u+v).is_nonnegative == None539 assert (-u-v).is_nonnegative == None540 assert (-u+v).is_nonnegative == None541 assert (u-v+2).is_nonnegative == True542 assert (u+v+17).is_nonnegative == None543 assert (-u-v-5).is_nonnegative == None544 assert (-u+v-123).is_nonnegative == False545 assert (2*u-123*v+17).is_nonnegative == True546 assert (k+u).is_nonnegative == None547 assert (k+v).is_nonnegative == False548 assert (n+u).is_nonnegative == True549 assert (n+v).is_nonnegative == None550 assert (k-n).is_nonnegative == False551 assert (k+n).is_nonnegative == None552 assert (-k-n).is_nonnegative == None553 assert (-k+n).is_nonnegative == True554 assert (k-n-u-2).is_nonnegative == False555 assert (k+n-u-2).is_nonnegative == None556 assert (-k-n-u-2).is_nonnegative == None557 assert (-k+n-u-2).is_nonnegative == None558 assert (u-x).is_nonnegative == None559 assert (v+x+n).is_nonnegative == None560def test_Pow_is_integer():561 x = Symbol('x')562 k = Symbol('k', integer=True)563 n = Symbol('n', nni=True)564 m = Symbol('m', pi=True)565 assert (k**2).is_integer == True566 assert (k**(-2)).is_integer == False567 assert (2**k).is_integer == None568 assert (2**(-k)).is_integer == None569 assert (2**n).is_integer == True570 assert (2**(-n)).is_integer == None571 assert (2**m).is_integer == True572 assert (2**(-m)).is_integer == False573 assert (x**2).is_integer == None574 assert (2**x).is_integer == None575 assert (k**n).is_integer == True576 assert (k**(-n)).is_integer == None577 assert (k**x).is_integer == None578 assert (x**k).is_integer == None579 assert (k**(n*m)).is_integer == True580 assert (k**(-n*m)).is_integer == None581@XFAIL582def test_Pow_is_bounded():583 x = Symbol('x', real=True)584 assert (x**2).is_bounded == None585 assert (sin(x)**2).is_bounded == True586 assert (sin(x)**x).is_bounded == None587 assert (sin(x)**exp(x)).is_bounded == None588 # XXX This first one fails589 assert (1/sin(x)).is_bounded == False590 assert (1/exp(x)).is_bounded == False591def test_Pow_is_even_odd():592 x = Symbol('x')593 k = Symbol('k', even=True)594 n = Symbol('n', odd=True)595 m = Symbol('m', nni=True)596 assert (k**2).is_even == True597 assert (n**2).is_even == False598 assert (2**k).is_even == None599 assert (k**m).is_even == True600 assert (n**m).is_even == False601 assert (k**x).is_even == None602 assert (n**x).is_even == None603 assert (k**2).is_odd == False604 assert (n**2).is_odd == True605 assert (3**k).is_odd == None606 assert (k**m).is_odd == False607 assert (n**m).is_odd == True608 assert (k**x).is_odd == None609 assert (n**x).is_odd == None610def test_Pow_is_negative_positive():611 x = Symbol('x', real=True)612 k = Symbol('k', pi=True)613 n = Symbol('n', even=True)614 m = Symbol('m', odd=True)615 assert (2**x).is_positive == True616 assert ((-2)**x).is_positive == None617 assert ((-2)**n).is_positive == True618 assert ((-2)**m).is_positive == False619 assert (k**2).is_positive == True620 assert (k**(-2)).is_positive == True621 assert (k**x).is_positive == True622 assert ((-k)**x).is_positive == None623 assert ((-k)**n).is_positive == True624 assert ((-k)**m).is_positive == False625 assert (2**x).is_negative == False626 assert ((-2)**x).is_negative == None627 assert ((-2)**n).is_negative == False628 assert ((-2)**m).is_negative == True629 assert (k**2).is_negative == False630 assert (k**(-2)).is_negative == False631 assert (k**x).is_negative == False632 assert ((-k)**x).is_negative == None633 assert ((-k)**n).is_negative == False634 assert ((-k)**m).is_negative == True635def test_Pow_is_nonpositive_nonnegative():636 x = Symbol('x', real=True)637 k = Symbol('k', nni=True)638 n = Symbol('n', even=True)639 m = Symbol('m', odd=True)640 assert (2**x).is_nonnegative == True641 assert ((-2)**x).is_nonnegative == None642 assert ((-2)**n).is_nonnegative == True643 assert ((-2)**m).is_nonnegative == False644 assert (k**2).is_nonnegative == True645 assert (k**(-2)).is_nonnegative == True646 assert (k**x).is_nonnegative == True647 assert ((-k)**x).is_nonnegative == None648 assert ((-k)**n).is_nonnegative == True649 assert ((-k)**m).is_nonnegative == None650 assert (2**x).is_nonpositive == False651 assert ((-2)**x).is_nonpositive == None652 assert ((-2)**n).is_nonpositive == False653 assert ((-2)**m).is_nonpositive == True654 assert (k**2).is_nonpositive == None655 assert (k**(-2)).is_nonpositive == None656 assert (k**x).is_nonpositive == None657 assert ((-k)**x).is_nonpositive == None658 assert ((-k)**n).is_nonpositive == None...

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infinity.py

Source:infinity.py Github

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...4@functools.total_ordering5class Infinity:6 def __init__(self, positive=True):7 self.__positive = positive8 def is_positive(self):9 return self.__positive10 @staticmethod11 def nan_check(to_check):12 if isinstance(to_check, float):13 return math.isnan(to_check)14 return False15 def __repr__(self):16 return "+infinity" if self.is_positive() else "-infinity"17 def __str__(self):18 return self.__repr__()19 def __hash__(self):20 return hash(self.is_positive())21 # +self22 def __pos__(self):23 return Infinity(self.is_positive())24 # -self25 def __neg__(self):26 return Infinity(not self.is_positive())27 # abs(self)28 def __abs__(self):29 return Infinity()30 # self < other31 def __lt__(self, other):32 if Infinity.nan_check(other):33 return False34 elif isinstance(other, Infinity):35 return not self.is_positive() and other.is_positive()36 return not self.is_positive()37 # self == other38 def __eq__(self, other):39 if isinstance(other, Infinity):40 return self.is_positive() == other.is_positive()41 return False42 # self + other43 def __add__(self, other):44 if Infinity.nan_check(other):45 return math.nan46 elif isinstance(other, Infinity):47 if self.is_positive() == other.is_positive():48 return Infinity(self.is_positive())49 else:50 return math.nan51 return Infinity(self.is_positive())52 # other + self == self + other53 def __radd__(self, other):54 return self + other55 # self - other == self + (-other)56 def __sub__(self, other):57 if isinstance(other, Infinity):58 other = -other59 return self + other60 # other - self == (-self) + other61 def __rsub__(self, other):62 return -self + other63 # self * other64 def __mul__(self, other):65 if Infinity.nan_check(other) or other == 0:66 return math.nan67 elif isinstance(other, Infinity):68 return Infinity(self.is_positive() == other.is_positive())69 return Infinity(self.is_positive() == (other > 0))70 71 # other * self == self * other72 def __rmul__(self, other):73 return self * other74 # self / other75 def __truediv__(self, other):76 if other == 0:77 raise ZeroDivisionError()78 if isinstance(other, Infinity):79 return math.nan80 return self * other81 # other / self82 def __rtruediv__(self, other):83 if Infinity.nan_check(other):84 return math.nan85 return 0.0 if self.is_positive() == (other > 0) else -0.086 # self // other87 def __floordiv__(self, other):88 return self / other89 # other // self90 def __rfloordiv__(self, other):91 if Infinity.nan_check(other):92 return math.nan93 return 094 # self % other95 def __mod__(self, other):96 if other == 0:97 raise ZeroDivisionError()98 return math.nan99 # other % self100 def __rmod__(self, other):101 if Infinity.nan_check(other):102 return math.nan103 if other == 0 or (self.is_positive() == (other > 0)):104 return other105 else:106 return Infinity(self.is_positive())107 # divmod(self, other)108 def __divmod__(self, other):109 return (self // other, self % other)110 # divmod(other, self)111 def __rdivmod__(self, other):...

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test_variant_signal.py

Source:test_variant_signal.py Github

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1from rest_framework.test import APITestCase2from tests.factories import QuestionFactory, VariantFactory3from jobadvisor.polls.models import Variant4class VariantSignalTestCase(APITestCase):5 @classmethod6 def setUpTestData(cls) -> None:7 """8 SetUp test data.9 :return: None10 """11 cls.question = QuestionFactory()12 def test_calculate_weight_some_negative_variant(self) -> None:13 VariantFactory(question=self.question, is_positive=False)14 VariantFactory(question=self.question, is_positive=False)15 negative_variant = Variant.objects.filter(16 question_id=self.question.id,17 is_positive=False18 )19 self.assertEqual(negative_variant.first().weight, 0.5)20 self.assertEqual(negative_variant.last().weight, 0.5)21 def test_calculate_weight_negative_variant(self) -> None:22 VariantFactory(question=self.question, is_positive=False)23 negative_variant = Variant.objects.get(24 question_id=self.question.id,25 is_positive=False26 )27 self.assertEqual(negative_variant.weight, 0)28 def test_calculate_weight_positive_variant(self) -> None:29 VariantFactory(question=self.question, is_positive=True)30 positive_variant = Variant.objects.get(31 question_id=self.question.id,32 is_positive=True33 )34 self.assertEqual(positive_variant.weight, 1)35 def test_recalculate_weight_del_some_negative_variant(self) -> None:36 VariantFactory(question=self.question, is_positive=False)37 VariantFactory(question=self.question, is_positive=False)38 VariantFactory(question=self.question, is_positive=False)39 VariantFactory(question=self.question, is_positive=False)40 negative_variant = Variant.objects.filter(41 question_id=self.question.id,42 is_positive=False43 )44 self.assertEqual(negative_variant.first().weight, 0.25)45 self.assertEqual(negative_variant.last().weight, 0.25)46 negative_variant.first().delete()47 negative_variant.last().delete()48 self.assertEqual(negative_variant.first().weight, 0.5)49 self.assertEqual(negative_variant.last().weight, 0.5)50 def test_recalculate_weight_del_negative_variant(self) -> None:51 VariantFactory(question=self.question, is_positive=False)52 VariantFactory(question=self.question, is_positive=False)53 negative_variant = Variant.objects.filter(54 question_id=self.question.id,55 is_positive=False56 )57 self.assertEqual(negative_variant.first().weight, 0.5)58 self.assertEqual(negative_variant.last().weight, 0.5)59 negative_variant.first().delete()60 self.assertEqual(negative_variant.first().weight, 0)61 def test_recalculate_weight_del_positive_variant(self) -> None:62 VariantFactory(question=self.question, is_positive=True)63 VariantFactory(question=self.question, is_positive=True)64 positive_variant = Variant.objects.filter(65 question_id=self.question.id,66 is_positive=True67 )68 self.assertEqual(positive_variant.first().weight, 1)69 self.assertEqual(positive_variant.last().weight, 1)70 positive_variant.first().delete()...

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