def test_solve_fastpm_linear_growth(): pm = ParticleMesh(BoxSize=1024.0, Nmesh=(128, 128, 128), dtype='f8') engine = FastPMEngine(pm) code = CodeSegment(engine) code.create_linear_field(whitenoise='whitenoise', powerspectrum=pk, dlinear_k='dlinear_k') code.solve_fastpm(pt=pt, dlinear_k='dlinear_k', asteps=[0.1, 0.5, 1.0], s='s', v='v', s1='s1', s2='s2') code.get_x(s='s', x='x') code.paint_simple(x='x', density='density') field = pm.generate_whitenoise(seed=1234, unitary=True).c2r() density, dlinear_k, s = code.compute(['density', 'dlinear_k', 's'], init={'whitenoise': field}) density_k = density.r2c() p_lin = FFTPower(FieldMesh(dlinear_k), mode='1d') p_nonlin = FFTPower(FieldMesh(density), mode='1d') # the simulation shall do a linear growth t1 = abs((p_nonlin.power['power'] / p_lin.power['power'])**0.5) assert_allclose(t1[1:4], 1.0, rtol=5e-2)
def test_solve_lpt(): pm = ParticleMesh(BoxSize=8.0, Nmesh=(4, 4, 4), dtype='f8') engine = FastPMEngine(pm) code = CodeSegment(engine) code.create_linear_field(whitenoise='whitenoise', powerspectrum=pk, dlinear_k='dlinear_k') code.solve_lpt(pt=pt, dlinear_k='dlinear_k', aend=0.1, s='s', v='v', s1='s1', s2='s2') field = pm.generate_whitenoise(seed=1234).c2r() s1, s2 = code.compute(['s1', 's2'], init={'whitenoise': field}) dlin_k = code.compute('dlinear_k', init={'whitenoise': field}) s1, tape = code.compute('s1', init={'whitenoise': field}, return_tape=True) # from fastpm.operators import lpt1, lpt2source # s1_truth = lpt1(dlin_k, engine.q, resampler='cic') # dlin2_k = lpt2source(dlin_k) # s2_truth = lpt1(dlin2_k, engine.q, resampler='cic') # assert_allclose(s1, s1_truth, rtol=1e-4) # assert_allclose(s2, s2_truth, rtol=1e-4) eps = field.cnorm()**0.5 * 1e-4 check_grad(code, 's1', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 's2', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 's', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 'v', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8)
def test_solve_fastpm(): pm = ParticleMesh(BoxSize=8.0, Nmesh=(4, 4, 4), dtype='f8') engine = FastPMEngine(pm, shift=0.5, B=1) code = CodeSegment(engine) code.create_linear_field(whitenoise='whitenoise', powerspectrum=pk, dlinear_k='dlinear_k') code.solve_fastpm(pt=pt, dlinear_k='dlinear_k', asteps=[0.1, 1.0], s='s', v='v', s1='s1', s2='s2') # code.solve_fastpm(pt=pt, dlinear_k='dlinear_k', asteps=[1.0], s='s', v='v', s1='s1', s2='s2') code.get_x(s='s', x='x') code.paint_simple(x='x', density='density') field = pm.generate_whitenoise(seed=1234, unitary=True).c2r() eps = field.cnorm()**0.5 * 1e-5 check_grad(code, 's1', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 's', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 'v', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8) check_grad(code, 'density', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8)
def test_project(): pm = ParticleMesh(BoxSize=8.0, Nmesh=(4, 4, 4), dtype='f8') engine = FastPMEngine(pm, shift=0.5, B=1) code = CodeSegment(engine) code.project(field='whitenoise', projection='projection') field = pm.generate_whitenoise(seed=1234, unitary=True).c2r() eps = field.cnorm()**0.5 * 1e-5 check_grad(code, 'projection', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8)
def test_features(comm): pm = ParticleMesh(BoxSize=8.0, Nmesh=(4, 4, 4), dtype='f8', comm=comm) engine = FastPMEngine(pm, shift=0.5, B=1) code = CodeSegment(engine) code.find_neighbours(field='whitenoise', features='features') field = pm.generate_whitenoise(seed=1234, unitary=True).c2r() field[...] = numpy.arange(field.csize).reshape(field.cshape)[field.slices] eps = field.cnorm()**0.5 * 1e-5 features = code.compute('features', init={'whitenoise': field}) check_grad(code, 'features', 'whitenoise', init={'whitenoise': field}, eps=eps, rtol=1e-8)