forked from jan/opencl_fdtd
Enable nonuniform grids (minimally tested)
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@ -5,9 +5,12 @@
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* common_header: Rendered contents of common.cl
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* pmls: [{'axis': 'x', 'polarity': 'n', 'thickness': 8}, ...] list of pml dicts containing
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* axes, polarities, and thicknesses.
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* uniform_dx: If grid is uniform, uniform_dx should be the grid spacing.
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* Otherwise, uniform_dx should be False and [inv_dh{xyz}] arrays must be supplied as
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* OpenCL args.
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*
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* OpenCL args:
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* E, H, dt, eps, [p{01}e{np}, Psi_{xyz}{np}_E]
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* E, H, dt, eps, [p{012}e{np}, Psi_{xyz}{np}_E], [inv_dh{xyz}]
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*/
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{{common_header}}
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@ -19,17 +22,28 @@ __global ftype *epsy = eps + YY;
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__global ftype *epsz = eps + ZZ;
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{%- if uniform_dx %}
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ftype inv_dx = 1.0 / {{uniform_dx}};
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ftype inv_dy = 1.0 / {{uniform_dx}};
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ftype inv_dz = 1.0 / {{uniform_dx}};
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{%- else %}
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ftype inv_dx = inv_dhx[x];
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ftype inv_dy = inv_dhy[y];
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ftype inv_dz = inv_dhz[z];
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{%- endif %}
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/*
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* Precalculate derivatives
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*/
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ftype dHxy = Hx[i] - Hx[i + my];
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ftype dHxz = Hx[i] - Hx[i + mz];
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ftype dHxy = (Hx[i] - Hx[i + my]) * inv_dy;
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ftype dHxz = (Hx[i] - Hx[i + mz]) * inv_dz;
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ftype dHyx = Hy[i] - Hy[i + mx];
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ftype dHyz = Hy[i] - Hy[i + mz];
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ftype dHyx = (Hy[i] - Hy[i + mx]) * inv_dx;
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ftype dHyz = (Hy[i] - Hy[i + mz]) * inv_dz;
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ftype dHzx = Hz[i] - Hz[i + mx];
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ftype dHzy = Hz[i] - Hz[i + my];
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ftype dHzx = (Hz[i] - Hz[i + mx]) * inv_dx;
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ftype dHzy = (Hz[i] - Hz[i + my]) * inv_dy;
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{% for bloch in bloch_boundaries -%}
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{%- set r = bloch['axis'] -%}
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@ -7,9 +7,12 @@
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* pmls: [{'axis': 'x', 'polarity': 'n', 'thickness': 8}, ...] list of pml dicts containing
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* axes, polarities, and thicknesses.
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* do_poynting: Whether to precalculate poynting vector components (boolean)
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* uniform_dx: If grid is uniform, uniform_dx should be the grid spacing.
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* Otherwise, uniform_dx should be False and [inv_de{xyz}] arrays must be supplied as
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* OpenCL args.
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*
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* OpenCL args:
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* E, H, dt, [p{xyz}{01}h{np}, Psi_{xyz}{np}_H], [oS]
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* E, H, dt, [inv_de{xyz}], [p{xyz}{01}h{np}, Psi_{xyz}{np}_H], [oS]
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*/
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{{common_header}}
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@ -19,14 +22,25 @@
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/*
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* Precalculate derivatives
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*/
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ftype dExy = Ex[i + py] - Ex[i];
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ftype dExz = Ex[i + pz] - Ex[i];
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{%- if uniform_dx %}
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ftype inv_dx = 1.0 / {{uniform_dx}};
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ftype inv_dy = 1.0 / {{uniform_dx}};
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ftype inv_dz = 1.0 / {{uniform_dx}};
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{%- else %}
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ftype inv_dx = inv_dex[x];
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ftype inv_dy = inv_dey[y];
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ftype inv_dz = inv_dez[z];
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{%- endif %}
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ftype dEyx = Ey[i + px] - Ey[i];
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ftype dEyz = Ey[i + pz] - Ey[i];
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ftype dEzx = Ez[i + px] - Ez[i];
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ftype dEzy = Ez[i + py] - Ez[i];
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ftype dExy = (Ex[i + py] - Ex[i]) * inv_dy;
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ftype dExz = (Ex[i + pz] - Ex[i]) * inv_dz;
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ftype dEyx = (Ey[i + px] - Ey[i]) * inv_dx;
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ftype dEyz = (Ey[i + pz] - Ey[i]) * inv_dz;
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ftype dEzx = (Ez[i + px] - Ez[i]) * inv_dx;
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ftype dEzy = (Ez[i + py] - Ez[i]) * inv_dy;
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{% for bloch in bloch_boundaries -%}
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@ -61,6 +61,7 @@ class Simulation(object):
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S = None # type: pyopencl.array.Array
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eps = None # type: pyopencl.array.Array
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dt = None # type: float
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inv_dxes = None # type: List[pyopencl.array.Array]
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arg_type = None # type: numpy.float32 or numpy.float64
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@ -77,7 +78,8 @@ class Simulation(object):
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epsilon: List[numpy.ndarray],
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pmls: List[Dict[str, int or float]],
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bloch_boundaries: List[Dict[str, int or float]] = (),
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dt: float = .99/numpy.sqrt(3),
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dxes: List[List[numpy.ndarray]] or float = None,
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dt: float = None,
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initial_fields: Dict[str, List[numpy.ndarray]] = None,
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context: pyopencl.Context = None,
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queue: pyopencl.CommandQueue = None,
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@ -98,7 +100,7 @@ class Simulation(object):
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'ln_R_per_layer': Desired (ln(R) / thickness) value. Default -1.6.
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'm': Polynomial grading exponent. Default 3.5.
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'ma': Exponent for alpha. Default 1.
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:param dt: Time step. Default is .99/sqrt(3).
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:param dt: Time step. Default is min(dxes) * .99/sqrt(3).
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:param initial_E: Initial E-field (default is 0 everywhere). Same format as epsilon.
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:param initial_H: Initial H-field (default is 0 everywhere). Same format as epsilon.
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:param context: pyOpenCL context. If not given, pyopencl.create_some_context(False) is called.
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@ -124,7 +126,22 @@ class Simulation(object):
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self._create_context(context, queue)
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self._create_eps(epsilon)
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if dt > .99/numpy.sqrt(3):
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if dxes is None:
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dxes = 1.0
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if isinstance(dxes, (float, int)):
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uniform_dx = dxes
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min_dx = dxes
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else:
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uniform_dx = False
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self.inv_dxes = [self._create_field(1 / dxn) for dxn in dxes[0] + dxes[1]]
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min_dx = min(min(dxn) for dxn in dxes[0] + dxes[1])
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max_dt = min_dx * .99 / numpy.sqrt(3)
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if dt is None:
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self.dt = max_dt
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elif dt > max_dt:
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warnings.warn('Warning: unstable dt: {}'.format(dt))
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elif dt <= 0:
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raise Exception('Invalid dt: {}'.format(dt))
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@ -154,6 +171,10 @@ class Simulation(object):
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base_fields[ptr('E')] = self.E
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base_fields[ptr('H')] = self.H
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base_fields[ctype + ' dt'] = self.dt
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if uniform_dx == False:
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inv_dx_names = ['inv_d' + eh + r for eh in 'eh' for r in 'xyz']
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for name, field in zip(inv_dx_names, self.inv_dxes):
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base_fields[ptr(name)] = field
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eps_field = OrderedDict()
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eps_field[ptr('eps')] = self.eps
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@ -178,6 +199,7 @@ class Simulation(object):
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'pmls': pmls,
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'do_poynting': do_poynting,
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'bloch': bloch_boundaries,
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'uniform_dx': uniform_dx,
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}
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E_source = jinja_env.get_template('update_e.cl').render(**jinja_args)
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H_source = jinja_env.get_template('update_h.cl').render(**jinja_args)
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