lookup tables
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@ -121,15 +121,27 @@ def cpml(direction: int,
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p0e, p1e = par(xe)
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p0h, p1h = par(xh)
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def create_table(name, xs, type='float'):
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s = type + ''' {name}(int x) {{
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switch (x) {{
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'''.format(name=name)
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for i, x in enumerate(xs):
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s += ''' case {i}: return {x};
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'''.format(i=i, x=x)
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s += '''
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}
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}'''
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return s
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vals = {'r': r,
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'u': uv[0],
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'v': uv[1],
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'np': np,
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'th': thickness,
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'p0e': ', '.join((str(x) for x in p0e)),
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'p1e': ', '.join((str(x) for x in p1e)),
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'p0h': ', '.join((str(x) for x in p0h)),
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'p1h': ', '.join((str(x) for x in p1h)),
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#'p0e': ', '.join((str(x) for x in p0e)),
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#'p1e': ', '.join((str(x) for x in p1e)),
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#'p0h': ', '.join((str(x) for x in p0h)),
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#'p1h': ', '.join((str(x) for x in p1h)),
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'se': '-+'[direction % 2],
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'sh': '+-'[direction % 2]}
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@ -149,24 +161,16 @@ if ( (s{r} - 1) > {r} && {r} > (s{r} - 1) - ({th} + 1) ) {{
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raise Exception('Bad polarity (=0)')
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code_e = """
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// pml parameters:
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const float p0[{th}] = {{ {p0e} }};
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const float p1[{th}] = {{ {p1e} }};
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Psi_{r}{np}_E{u}[ip] = p0[ir] * Psi_{r}{np}_E{u}[ip] + p1[ir] * (H{v}[i] - H{v}[i-di{r}]);
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Psi_{r}{np}_E{v}[ip] = p0[ir] * Psi_{r}{np}_E{v}[ip] + p1[ir] * (H{u}[i] - H{u}[i-di{r}]);
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Psi_{r}{np}_E{u}[ip] = p0e(ir) * Psi_{r}{np}_E{u}[ip] + p1e(ir) * (H{v}[i] - H{v}[i-di{r}]);
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Psi_{r}{np}_E{v}[ip] = p0e(ir) * Psi_{r}{np}_E{v}[ip] + p1e(ir) * (H{u}[i] - H{u}[i-di{r}]);
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E{u}[i] {se}= dt / eps{u}[i] * Psi_{r}{np}_E{u}[ip];
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E{v}[i] {sh}= dt / eps{v}[i] * Psi_{r}{np}_E{v}[ip];
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}}
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"""
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code_h = """
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// pml parameters:
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const float p0[{th}] = {{ {p0h} }};
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const float p1[{th}] = {{ {p1h} }};
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Psi_{r}{np}_H{u}[ip] = p0[ir] * Psi_{r}{np}_H{u}[ip] + p1[ir] * (E{v}[i+di{r}] - E{v}[i]);
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Psi_{r}{np}_H{v}[ip] = p0[ir] * Psi_{r}{np}_H{v}[ip] + p1[ir] * (E{u}[i+di{r}] - E{u}[i]);
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Psi_{r}{np}_H{u}[ip] = p0h(ir) * Psi_{r}{np}_H{u}[ip] + p1h(ir) * (E{v}[i+di{r}] - E{v}[i]);
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Psi_{r}{np}_H{v}[ip] = p0h(ir) * Psi_{r}{np}_H{v}[ip] + p1h(ir) * (E{u}[i+di{r}] - E{u}[i]);
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H{u}[i] {sh}= dt * Psi_{r}{np}_H{u}[ip];
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H{v}[i] {se}= dt * Psi_{r}{np}_H{v}[ip];
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@ -180,6 +184,11 @@ if ( (s{r} - 1) > {r} && {r} > (s{r} - 1) - ({th} + 1) ) {{
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'Psi_{r}{np}_E{v}'.format(**vals)],
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'psi_H': ['Psi_{r}{np}_H{u}'.format(**vals),
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'Psi_{r}{np}_H{v}'.format(**vals)],
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'tables': create_table('p0e', p0e) + \
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create_table('p1e', p1e) + \
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create_table('p0h', p0h) + \
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create_table('p1h', p1h)
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}
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return pml_data
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@ -174,8 +174,8 @@ class Simulation(object):
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pml_E_args = ', '.join(E_args + H_args + dt_arg + eps_args + arglist_E)
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pml_H_args = ', '.join(E_args + H_args + dt_arg + arglist_H)
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pml_E = ElementwiseKernel(self.context, arguments=pml_E_args, operation=pml_E_source)
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pml_H = ElementwiseKernel(self.context, arguments=pml_H_args, operation=pml_H_source)
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pml_E = ElementwiseKernel(self.context, preamble=pml_data['tables'], arguments=pml_E_args, operation=pml_E_source)
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pml_H = ElementwiseKernel(self.context, preamble=pml_data['tables'], arguments=pml_H_args, operation=pml_H_source)
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self.cpml_E = lambda e: pml_E(*self.E, *self.H, self.dt, *self.eps, *psi_E, wait_for=e)
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self.cpml_H = lambda e: pml_H(*self.E, *self.H, self.dt, *psi_H, wait_for=e)
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