api: cleanup FD tools and support zeroth order derivative #2368
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## master #2368 +/- ##
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Coverage 86.75% 86.75%
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Files 233 233
Lines 43720 43727 +7
Branches 8078 8072 -6
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+ Hits 37929 37937 +8
Misses 5080 5080
+ Partials 711 710 -1 ☔ View full report in Codecov by Sentry. |
| fmean = .5 * (f + f._subs(y, y + y.spacing)) | ||
| drv1x0 = drv1(x0={y: y+y.spacing/2}).evaluate | ||
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| assert simplify(fmean.dx2.evaluate - drv1x0) == 0 |
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It would also be a good idea to check equivalence between the Derivative(f, y, deriv_order=0, x0=y+y.spacing/2) and Derivative(f, (y, 0), x0={y: y+y.spacing/2}) specifications.
There should also be tests for Derivative(f, (x, 0), (y, 0), x0={x: x+x.spacing/2, y: y+y.spacing/2}) and Derivative(f, x, y,, deriv_order=(0, 0), x0={x: x+x.spacing/2, y: y+y.spacing/2})
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Great work! What about a unit test interpolating an analytic function like a sin or cos? |
There is a unit test checking coefficient correctness. |
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| @@ -831,7 +831,7 @@ def test_solve(self, operate_on_empty_cache): | |||
| # created by the finite difference (u.dt, u.dx2). We would have had | |||
| # three extra references to u(t + dt), u(x - h_x) and u(x + h_x). | |||
| # But this is not the case anymore! | |||
| assert len(_SymbolCache) == 11 | |||
| assert len(_SymbolCache) == 12 | |||
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Note: This is because now every order uses a StencilDImension even for space_order=1 while we were only giving the list of indices for that case before.
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