| 123 | 123 | |
| 124 | 124 | |
| 125 | 125 | def test_polylog_expansion(): |
| 126 | from sympy import log | |
| 126 | from sympy import log, pi, Rational, exp_polar, diff | |
| 127 | 127 | assert polylog(s, 0) == 0 |
| 128 | 128 | assert polylog(s, 1) == zeta(s) |
| 129 | 129 | assert polylog(s, -1) == -dirichlet_eta(s) |
| 130 | ||
| 131 | assert myexpand(polylog(1, z), -log(1 + exp_polar(-I*pi)*z)) | |
| 130 | ||
| 131 | # Test specific evaluation for polylog(2, 1/2) | |
| 132 | assert polylog(2, Rational(1,2)) == -log(2)**2/2 + pi**2/12 | |
| 133 | ||
| 134 | # Test that expand_func(polylog(1, z)) does not contain exp_polar | |
| 135 | expanded_polylog1 = expand_func(polylog(1, z)) | |
| 136 | assert expanded_polylog1 == -log(1 - z) | |
| 137 | assert not expanded_polylog1.has(exp_polar) | |
| 138 | ||
| 139 | ||
| 140 | ||
| 141 | assert myexpand(polylog(1, z), -log(1 - z)) | |
| 132 | 142 | assert myexpand(polylog(0, z), z/(1 - z)) |
| 133 | 143 | assert myexpand(polylog(-1, z), z**2/(1 - z)**2 + z/(1 - z)) |
| 134 | 144 | assert myexpand(polylog(-5, z), None) |
| Test Name | Status |
|---|---|
test_polylog_values | Fail |
test_zeta_eval | Pass |
test_dirichlet_eta_eval | Pass |
test_stieltjes | Pass |
test_stieltjes_evalf | Pass |
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