def test_dtype_support(thr, dtype):
# Test passes if either thread correctly reports that it does not support given dtype,
# or it successfully compiles kernel that operates with this dtype.
N = 256
if not thr.device_params.supports_dtype(dtype):
pytest.skip()
mul = functions.mul(dtype, dtype)
div = functions.div(dtype, dtype)
program = thr.compile(
"""
KERNEL void test(
GLOBAL_MEM ${ctype} *dest, GLOBAL_MEM ${ctype} *a, GLOBAL_MEM ${ctype} *b)
{
const SIZE_T i = get_global_id(0);
${ctype} temp = ${mul}(a[i], b[i]);
dest[i] = ${div}(temp, b[i]);
}
""", render_kwds=dict(ctype=dtypes.ctype(dtype), dtype=dtype, mul=mul, div=div))
test = program.test
# we need results to fit even in unsigned char
a = get_test_array(N, dtype, high=8)
b = get_test_array(N, dtype, no_zeros=True, high=8)
a_dev = thr.to_device(a)
b_dev = thr.to_device(b)
dest_dev = thr.empty_like(a_dev)
test(dest_dev, a_dev, b_dev, global_size=N)
assert diff_is_negligible(thr.from_device(dest_dev), a)
def get_nonlinear3(state_arr, scalar_dtype, nonlinear_module, dt):
# k4 = N(D(psi_4), t + dt)
# output = D(psi_k) + k4 / 6
return PureParallel(
[
Parameter('output', Annotation(state_arr, 'o')),
Parameter('kprop_psi_k', Annotation(state_arr, 'i')),
Parameter('kprop_psi_4', Annotation(state_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))],
"""
<%
all_indices = ', '.join(idxs)
%>
${output.ctype} psi4_0 = ${kprop_psi_4.load_idx}(0, ${all_indices});
${output.ctype} psi4_1 = ${kprop_psi_4.load_idx}(1, ${all_indices});
${output.ctype} psik_0 = ${kprop_psi_k.load_idx}(0, ${all_indices});
${output.ctype} psik_1 = ${kprop_psi_k.load_idx}(1, ${all_indices});
${output.ctype} k4_0 = ${nonlinear}0(psi4_0, psi4_1, ${t} + ${dt});
${output.ctype} k4_1 = ${nonlinear}1(psi4_0, psi4_1, ${t} + ${dt});
${output.store_idx}(0, ${all_indices}, psik_0 + ${div}(k4_0, 6));
${output.store_idx}(1, ${all_indices}, psik_1 + ${div}(k4_1, 6));
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype, numpy.int32, out_dtype=state_arr.dtype)))
def get_nonlinear3(state_arr, scalar_dtype, nonlinear_module, dt):
# k4 = N(D(psi_4), t + dt)
# output = D(psi_k) + k4 / 6
return PureParallel([
Parameter('output', Annotation(state_arr, 'o')),
Parameter('kprop_psi_k', Annotation(state_arr, 'i')),
Parameter('kprop_psi_4', Annotation(state_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))
],
"""
<%
all_indices = ', '.join(idxs)
%>
${output.ctype} psi4_0 = ${kprop_psi_4.load_idx}(0, ${all_indices});
${output.ctype} psi4_1 = ${kprop_psi_4.load_idx}(1, ${all_indices});
${output.ctype} psik_0 = ${kprop_psi_k.load_idx}(0, ${all_indices});
${output.ctype} psik_1 = ${kprop_psi_k.load_idx}(1, ${all_indices});
${output.ctype} k4_0 = ${nonlinear}0(psi4_0, psi4_1, ${t} + ${dt});
${output.ctype} k4_1 = ${nonlinear}1(psi4_0, psi4_1, ${t} + ${dt});
${output.store_idx}(0, ${all_indices}, psik_0 + ${div}(k4_0, 6));
${output.store_idx}(1, ${all_indices}, psik_1 + ${div}(k4_1, 6));
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype,
numpy.int32,
out_dtype=state_arr.dtype)))
def get_nonlinear3(state_arr, potential_arr, scalar_dtype, nonlinear_module, dt):
# k4 = N(D(psi_4), t + dt)
# output = D(psi_k) + k4 / 6
return PureParallel(
[
Parameter('output', Annotation(state_arr, 'o')),
Parameter('kprop_psi_k', Annotation(state_arr, 'i')),
Parameter('kprop_psi_4', Annotation(state_arr, 'i')),
Parameter('potential_next', Annotation(potential_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))],
"""
%for comp in range(components):
${output.ctype} psi4_${comp} = ${kprop_psi_4.load_idx}(${comp}, ${idxs.all()});
${output.ctype} psik_${comp} = ${kprop_psi_k.load_idx}(${comp}, ${idxs.all()});
%endfor
${potential_next.ctype} V = ${potential_next.load_idx}(${', '.join(idxs[1:])});
%for comp in range(components):
${output.ctype} k4_${comp} = ${nonlinear}${comp}(
%for pcomp in range(components):
psi4_${pcomp},
%endfor
V, ${t} + ${dt});
${output.store_idx}(${comp}, ${idxs.all()}, psik_${comp} + ${div}(k4_${comp}, 6));
%endfor
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
components=state_arr.shape[0],
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype, numpy.int32, out_dtype=state_arr.dtype)))
def test_dtype_support(thr, dtype):
# Test passes if either thread correctly reports that it does not support given dtype,
# or it successfully compiles kernel that operates with this dtype.
N = 256
if not thr.device_params.supports_dtype(dtype):
pytest.skip()
mul = functions.mul(dtype, dtype)
div = functions.div(dtype, dtype)
program = thr.compile(
"""
KERNEL void test(
GLOBAL_MEM ${ctype} *dest, GLOBAL_MEM ${ctype} *a, GLOBAL_MEM ${ctype} *b)
{
const SIZE_T i = get_global_id(0);
${ctype} temp = ${mul}(a[i], b[i]);
dest[i] = ${div}(temp, b[i]);
}
""", render_kwds=dict(ctype=dtypes.ctype(dtype), dtype=dtype, mul=mul, div=div))
test = program.test
# we need results to fit even in unsigned char
a = get_test_array(N, dtype, high=8)
b = get_test_array(N, dtype, no_zeros=True, high=8)
a_dev = thr.to_device(a)
b_dev = thr.to_device(b)
dest_dev = thr.empty_like(a_dev)
test(dest_dev, a_dev, b_dev, global_size=N)
assert diff_is_negligible(thr.from_device(dest_dev), a)
def get_nonlinear2(state_arr, scalar_dtype, nonlinear_module, dt):
# k2 = N(psi_I + k1 / 2, t + dt / 2)
# k3 = N(psi_I + k2 / 2, t + dt / 2)
# psi_4 = psi_I + k3 (argument for the 4-th step k-propagation)
# psi_k = psi_I + (k1 + 2(k2 + k3)) / 6 (argument for the final k-propagation)
return PureParallel([
Parameter('psi_k', Annotation(state_arr, 'o')),
Parameter('psi_4', Annotation(state_arr, 'o')),
Parameter('psi_I', Annotation(state_arr, 'i')),
Parameter('k1', Annotation(state_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))
],
"""
<%
all_indices = ', '.join(idxs)
%>
${psi_k.ctype} psi_I_0 = ${psi_I.load_idx}(0, ${all_indices});
${psi_k.ctype} psi_I_1 = ${psi_I.load_idx}(1, ${all_indices});
${psi_k.ctype} k1_0 = ${k1.load_idx}(0, ${all_indices});
${psi_k.ctype} k1_1 = ${k1.load_idx}(1, ${all_indices});
${psi_k.ctype} k2_0 = ${nonlinear}0(
psi_I_0 + ${div}(k1_0, 2),
psi_I_1 + ${div}(k1_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k2_1 = ${nonlinear}1(
psi_I_0 + ${div}(k1_0, 2),
psi_I_1 + ${div}(k1_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k3_0 = ${nonlinear}0(
psi_I_0 + ${div}(k2_0, 2),
psi_I_1 + ${div}(k2_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k3_1 = ${nonlinear}1(
psi_I_0 + ${div}(k2_0, 2),
psi_I_1 + ${div}(k2_1, 2),
${t} + ${dt} / 2);
${psi_4.store_idx}(0, ${all_indices}, psi_I_0 + k3_0);
${psi_4.store_idx}(1, ${all_indices}, psi_I_1 + k3_1);
${psi_k.store_idx}(
0, ${all_indices},
psi_I_0 + ${div}(k1_0, 6) + ${div}(k2_0, 3) + ${div}(k3_0, 3));
${psi_k.store_idx}(
1, ${all_indices},
psi_I_1 + ${div}(k1_1, 6) + ${div}(k2_1, 3) + ${div}(k3_1, 3));
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype,
numpy.int32,
out_dtype=state_arr.dtype)))
def get_nonlinear2(state_arr, scalar_dtype, nonlinear_module, dt):
# k2 = N(psi_I + k1 / 2, t + dt / 2)
# k3 = N(psi_I + k2 / 2, t + dt / 2)
# psi_4 = psi_I + k3 (argument for the 4-th step k-propagation)
# psi_k = psi_I + (k1 + 2(k2 + k3)) / 6 (argument for the final k-propagation)
return PureParallel(
[
Parameter('psi_k', Annotation(state_arr, 'o')),
Parameter('psi_4', Annotation(state_arr, 'o')),
Parameter('psi_I', Annotation(state_arr, 'i')),
Parameter('k1', Annotation(state_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))],
"""
<%
all_indices = ', '.join(idxs)
%>
${psi_k.ctype} psi_I_0 = ${psi_I.load_idx}(0, ${all_indices});
${psi_k.ctype} psi_I_1 = ${psi_I.load_idx}(1, ${all_indices});
${psi_k.ctype} k1_0 = ${k1.load_idx}(0, ${all_indices});
${psi_k.ctype} k1_1 = ${k1.load_idx}(1, ${all_indices});
${psi_k.ctype} k2_0 = ${nonlinear}0(
psi_I_0 + ${div}(k1_0, 2),
psi_I_1 + ${div}(k1_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k2_1 = ${nonlinear}1(
psi_I_0 + ${div}(k1_0, 2),
psi_I_1 + ${div}(k1_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k3_0 = ${nonlinear}0(
psi_I_0 + ${div}(k2_0, 2),
psi_I_1 + ${div}(k2_1, 2),
${t} + ${dt} / 2);
${psi_k.ctype} k3_1 = ${nonlinear}1(
psi_I_0 + ${div}(k2_0, 2),
psi_I_1 + ${div}(k2_1, 2),
${t} + ${dt} / 2);
${psi_4.store_idx}(0, ${all_indices}, psi_I_0 + k3_0);
${psi_4.store_idx}(1, ${all_indices}, psi_I_1 + k3_1);
${psi_k.store_idx}(
0, ${all_indices},
psi_I_0 + ${div}(k1_0, 6) + ${div}(k2_0, 3) + ${div}(k3_0, 3));
${psi_k.store_idx}(
1, ${all_indices},
psi_I_1 + ${div}(k1_1, 6) + ${div}(k2_1, 3) + ${div}(k3_1, 3));
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype, numpy.int32, out_dtype=state_arr.dtype)))
def div_param(arr_t, param_dtype):
"""
Returns a scaling transformation with a dynamic parameter (1 output, 1 input, 1 scalar):
``output = input / param``.
"""
return Transformation(
[Parameter('output', Annotation(arr_t, 'o')),
Parameter('input', Annotation(arr_t, 'i')),
Parameter('param', Annotation(param_dtype))],
"${output.store_same}(${div}(${input.load_same}, ${param}));",
render_kwds=dict(div=functions.div(arr_t.dtype, param_dtype, out_dtype=arr_t.dtype)))
def get_common_kwds(dtype, device_params):
return dict(
dtype=dtype,
min_mem_coalesce_width=device_params.min_mem_coalesce_width[dtype.itemsize],
local_mem_banks=device_params.local_mem_banks,
get_padding=get_padding,
wrap_const=lambda x: dtypes.c_constant(x, dtypes.real_for(dtype)),
min_blocks=helpers.min_blocks,
mul=functions.mul(dtype, dtype),
polar_unit=functions.polar_unit(dtypes.real_for(dtype)),
cdivs=functions.div(dtype, numpy.uint32, out_dtype=dtype))
def get_nonlinear3(state_type, nonlinear_wrapper, components, diffusion=None, noise_type=None):
real_dtype = dtypes.real_for(state_type.dtype)
# k4 = N(D(psi_4), t + dt)
# output = D(psi_k) + k4 / 6
return PureParallel(
[
Parameter('output', Annotation(state_type, 'o')),
Parameter('kprop_psi_k', Annotation(state_type, 'i')),
Parameter('kprop_psi_4', Annotation(state_type, 'i'))]
+ ([Parameter('dW', Annotation(noise_type, 'i'))] if diffusion is not None else []) +
[Parameter('t', Annotation(real_dtype)),
Parameter('dt', Annotation(real_dtype))],
"""
<%
if diffusion is None:
dW = None
coords = ", ".join(idxs[1:])
trajectory = idxs[0]
args = lambda prefix, num: list(map(lambda i: prefix + str(i), range(num)))
dW_args = args('dW_', diffusion.noise_sources) if diffusion is not None else []
k4_args = ", ".join(idxs[1:] + args('psi4_', components) + dW_args)
%>
%for comp in range(components):
${output.ctype} psi4_${comp} = ${kprop_psi_4.load_idx}(${trajectory}, ${comp}, ${coords});
${output.ctype} psik_${comp} = ${kprop_psi_k.load_idx}(${trajectory}, ${comp}, ${coords});
%endfor
%if diffusion is not None:
%for ncomp in range(diffusion.noise_sources):
${dW.ctype} dW_${ncomp} = ${dW.load_idx}(${trajectory}, ${ncomp}, ${coords});
%endfor
%endif
%for comp in range(components):
${output.ctype} k4_${comp} = ${nonlinear}${comp}(${k4_args}, ${t} + ${dt}, ${dt});
%endfor
%for comp in range(components):
${output.store_idx}(
${trajectory}, ${comp}, ${coords},
psik_${comp} + ${div}(k4_${comp}, 6));
%endfor
""",
guiding_array=(state_type.shape[0],) + state_type.shape[2:],
render_kwds=dict(
components=components,
nonlinear=nonlinear_wrapper,
diffusion=diffusion,
div=functions.div(state_type.dtype, numpy.int32, out_dtype=state_type.dtype)))
def div_param(arr_t, param_dtype):
"""
Returns a scaling transformation with a dynamic parameter (1 output, 1 input, 1 scalar):
``output = input / param``.
"""
return Transformation(
[Parameter('output', Annotation(arr_t, 'o')),
Parameter('input', Annotation(arr_t, 'i')),
Parameter('param', Annotation(param_dtype))],
"${output.store_same}(${div}(${input.load_same}, ${param}));",
render_kwds=dict(div=functions.div(arr_t.dtype, param_dtype, out_dtype=arr_t.dtype)))
def get_common_kwds(dtype, device_params):
return dict(
dtype=dtype,
min_mem_coalesce_width=device_params.min_mem_coalesce_width[dtype.itemsize],
local_mem_banks=device_params.local_mem_banks,
get_padding=get_padding,
wrap_const=lambda x: dtypes.c_constant(x, dtypes.real_for(dtype)),
min_blocks=helpers.min_blocks,
mul=functions.mul(dtype, dtype),
polar_unit=functions.polar_unit(dtypes.real_for(dtype)),
cdivs=functions.div(dtype, numpy.uint32, out_dtype=dtype))
def div_const(arr_t, param):
"""
Returns a scaling transformation with a fixed parameter (1 output, 1 input):
``output = input / param``.
"""
param_dtype = dtypes.detect_type(param)
return Transformation(
[Parameter('output', Annotation(arr_t, 'o')),
Parameter('input', Annotation(arr_t, 'i'))],
"${output.store_same}(${div}(${input.load_same}, ${param}));",
render_kwds=dict(
div=functions.div(arr_t.dtype, param_dtype, out_dtype=arr_t.dtype),
param=dtypes.c_constant(param, dtype=param_dtype)))
def div_const(arr_t, param):
"""
Returns a scaling transformation with a fixed parameter (1 output, 1 input):
``output = input / param``.
"""
param_dtype = dtypes.detect_type(param)
return Transformation(
[Parameter('output', Annotation(arr_t, 'o')),
Parameter('input', Annotation(arr_t, 'i'))],
"${output.store_same}(${div}(${input.load_same}, ${param}));",
render_kwds=dict(
div=functions.div(arr_t.dtype, param_dtype, out_dtype=arr_t.dtype),
param=dtypes.c_constant(param, dtype=param_dtype)))
def get_nonlinear2(state_arr, potential_arr, scalar_dtype, nonlinear_module, dt):
# k2 = N(psi_I + k1 / 2, t + dt / 2)
# k3 = N(psi_I + k2 / 2, t + dt / 2)
# psi_4 = psi_I + k3 (argument for the 4-th step k-propagation)
# psi_k = psi_I + (k1 + 2(k2 + k3)) / 6 (argument for the final k-propagation)
return PureParallel(
[
Parameter('psi_k', Annotation(state_arr, 'o')),
Parameter('psi_4', Annotation(state_arr, 'o')),
Parameter('psi_I', Annotation(state_arr, 'i')),
Parameter('k1', Annotation(state_arr, 'i')),
Parameter('potential_half', Annotation(potential_arr, 'i')),
Parameter('t', Annotation(scalar_dtype))],
"""
%for comp in range(components):
${psi_k.ctype} psi_I_${comp} = ${psi_I.load_idx}(${comp}, ${idxs.all()});
${psi_k.ctype} k1_${comp} = ${k1.load_idx}(${comp}, ${idxs.all()});
%endfor
${potential_half.ctype} V = ${potential_half.load_idx}(${', '.join(idxs[1:])});
%for comp in range(components):
${psi_k.ctype} k2_${comp} = ${nonlinear}${comp}(
%for pcomp in range(components):
psi_I_${pcomp} + ${div}(k1_${pcomp}, 2),
%endfor
V, ${t} + ${dt} / 2);
%endfor
%for comp in range(components):
${psi_k.ctype} k3_${comp} = ${nonlinear}${comp}(
%for pcomp in range(components):
psi_I_${pcomp} + ${div}(k2_${pcomp}, 2),
%endfor
V, ${t} + ${dt} / 2);
%endfor
%for comp in range(components):
${psi_4.store_idx}(${comp}, ${idxs.all()}, psi_I_${comp} + k3_${comp});
${psi_k.store_idx}(
${comp}, ${idxs.all()},
psi_I_${comp} + ${div}(k1_${comp}, 6) + ${div}(k2_${comp}, 3) + ${div}(k3_${comp}, 3));
%endfor
""",
guiding_array=state_arr.shape[1:],
render_kwds=dict(
components=state_arr.shape[0],
nonlinear=nonlinear_module,
dt=dtypes.c_constant(dt, scalar_dtype),
div=functions.div(state_arr.dtype, numpy.int32, out_dtype=state_arr.dtype)))
def _build_plan(self, plan_factory, device_params, C, D, coeff1, coeff2):
plan = plan_factory()
nested = Dummy(C, D, coeff1, same_A_B=True)
C_temp = plan.temp_array_like(C)
D_temp = plan.temp_array_like(D)
# Testing a computation call which uses the same argument for two parameters.
plan.computation_call(nested, C_temp, D, C, C, coeff1)
arr_dtype = C.dtype
coeff_dtype = coeff2.dtype
mul = functions.mul(arr_dtype, coeff_dtype)
div = functions.div(arr_dtype, coeff_dtype)
template = template_from(
"""
<%def name="dummy(kernel_declaration, CC, C, D, coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${CC.store_idx}(idx0, idx1,
${C.load_idx}(idx0, idx1) +
${mul}(${D.load_idx}(idx0, idx1), ${coeff}));
}
</%def>
"""
)
# Testing a kernel call which uses the same argument for two parameters.
plan.kernel_call(
template.get_def("dummy"), [C, C_temp, C_temp, coeff2], global_size=C.shape, render_kwds=dict(mul=mul)
)
return plan
def _build_plan(self, plan_factory, device_params, C, D, coeff1, coeff2):
plan = plan_factory()
nested = Dummy(C, D, coeff1, same_A_B=True)
C_temp = plan.temp_array_like(C)
D_temp = plan.temp_array_like(D)
# Testing a computation call which uses the same argument for two parameters.
plan.computation_call(nested, C_temp, D, C, C, coeff1)
arr_dtype = C.dtype
coeff_dtype = coeff2.dtype
mul = functions.mul(arr_dtype, coeff_dtype)
div = functions.div(arr_dtype, coeff_dtype)
template = template_from("""
<%def name="dummy(kernel_declaration, CC, C, D, coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${CC.store_idx}(idx0, idx1,
${C.load_idx}(idx0, idx1) +
${mul}(${D.load_idx}(idx0, idx1), ${coeff}));
}
</%def>
""")
# Testing a kernel call which uses the same argument for two parameters.
plan.kernel_call(template.get_def('dummy'),
[C, C_temp, C_temp, coeff2],
global_size=C.shape,
render_kwds=dict(mul=mul))
return plan
def get_nonlinear2(state_type, nonlinear_wrapper, components, diffusion=None, noise_type=None):
real_dtype = dtypes.real_for(state_type.dtype)
# k2 = N(psi_I + k1 / 2, t + dt / 2)
# k3 = N(psi_I + k2 / 2, t + dt / 2)
# psi_4 = psi_I + k3 (argument for the 4-th step k-propagation)
# psi_k = psi_I + (k1 + 2(k2 + k3)) / 6 (argument for the final k-propagation)
return PureParallel(
[
Parameter('psi_k', Annotation(state_type, 'o')),
Parameter('psi_4', Annotation(state_type, 'o')),
Parameter('psi_I', Annotation(state_type, 'i')),
Parameter('k1', Annotation(state_type, 'i'))]
+ ([Parameter('dW', Annotation(noise_type, 'i'))] if diffusion is not None else []) +
[Parameter('t', Annotation(real_dtype)),
Parameter('dt', Annotation(real_dtype))],
"""
<%
if diffusion is None:
dW = None
coords = ", ".join(idxs[1:])
trajectory = idxs[0]
args = lambda prefix, num: ", ".join(map(lambda i: prefix + str(i), range(num)))
dW_args = (args('dW_', diffusion.noise_sources) + ",") if diffusion is not None else ""
%>
%for comp in range(components):
${psi_k.ctype} psi_I_${comp} = ${psi_I.load_idx}(${trajectory}, ${comp}, ${coords});
${psi_k.ctype} k1_${comp} = ${k1.load_idx}(${trajectory}, ${comp}, ${coords});
%endfor
%if diffusion is not None:
%for ncomp in range(diffusion.noise_sources):
${dW.ctype} dW_${ncomp} = ${dW.load_idx}(${trajectory}, ${ncomp}, ${coords});
%endfor
%endif
%for comp in range(components):
${psi_k.ctype} k2_${comp} = ${nonlinear}${comp}(
${coords},
%for c in range(components):
psi_I_${c} + ${div}(k1_${c}, 2),
%endfor
${dW_args}
${t} + ${dt} / 2, ${dt});
%endfor
%for comp in range(components):
${psi_k.ctype} k3_${comp} = ${nonlinear}${comp}(
${coords},
%for c in range(components):
psi_I_${c} + ${div}(k2_${c}, 2),
%endfor
${dW_args}
${t} + ${dt} / 2, ${dt});
%endfor
%for comp in range(components):
${psi_4.store_idx}(${trajectory}, ${comp}, ${coords}, psi_I_${comp} + k3_${comp});
%endfor
%for comp in range(components):
${psi_k.store_idx}(
${trajectory}, ${comp}, ${coords},
psi_I_${comp} + ${div}(k1_${comp}, 6) + ${div}(k2_${comp}, 3) + ${div}(k3_${comp}, 3));
%endfor
""",
guiding_array=(state_type.shape[0],) + state_type.shape[2:],
render_kwds=dict(
components=components,
nonlinear=nonlinear_wrapper,
diffusion=diffusion,
div=functions.div(state_type.dtype, numpy.int32, out_dtype=state_type.dtype)))
def test_div(thr, out_code, in_codes):
out_dtype, in_dtypes = generate_dtypes(out_code, in_codes)
check_func(
thr, functions.div(*in_dtypes, out_dtype=out_dtype),
lambda x, y: dtypes.cast(out_dtype)(x / y), out_dtype, in_dtypes)
def test_div(thr, out_code, in_codes):
out_dtype, in_dtypes = generate_dtypes(out_code, in_codes)
check_func(thr, functions.div(*in_dtypes, out_dtype=out_dtype),
lambda x, y: dtypes.cast(out_dtype)(x / y), out_dtype,
in_dtypes)
def _build_plan(self, plan_factory, device_params, C, D, A, B, coeff):
plan = plan_factory()
arr_dtype = C.dtype
coeff_dtype = coeff.dtype
mul = functions.mul(arr_dtype, coeff_dtype)
div = functions.div(arr_dtype, coeff_dtype)
template = template_from(
"""
<%def name="dummy(kernel_declaration, C, D, A, B, coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${A.ctype} a = ${A.load_idx}(idx0, idx1);
${C.ctype} c = ${mul}(a, ${coeff});
${C.store_idx}(idx1, idx0, c);
%if same_A_B:
${B.ctype} b = ${B.load_idx}(idx0, idx1);
${D.ctype} d = ${div}(b, ${coeff});
${D.store_idx}(idx0, idx1, d);
%else:
if (idx1 == 0)
{
${B.ctype} b = ${B.load_idx}(idx0);
${D.ctype} d = ${div}(b, ${coeff});
${D.store_idx}(idx0, d);
}
%endif
}
</%def>
<%def name="dummy2(kernel_declaration, CC, DD, C, D, pers_arr, const_coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${CC.store_idx}(idx0, idx1, ${C.load_idx}(idx0, idx1));
%if same_A_B:
${DD.store_idx}(
idx0, idx1,
${mul}(${D.load_idx}(idx0, idx1), ${const_coeff}) +
${pers_arr.load_idx}(idx0, idx1));
%else:
if (idx1 == 0)
{
${DD.store_idx}(
idx0,
${mul}(${D.load_idx}(idx0), ${const_coeff}) +
${pers_arr.load_idx}(idx0));
}
%endif
}
</%def>
"""
)
block_size = 8
C_temp = plan.temp_array_like(C)
D_temp = plan.temp_array_like(D)
arr = plan.persistent_array(self._persistent_array)
plan.kernel_call(
template.get_def("dummy"),
[C_temp, D_temp, A, B, coeff],
global_size=A.shape,
local_size=(block_size, block_size),
render_kwds=dict(mul=mul, div=div, same_A_B=self._same_A_B),
)
plan.kernel_call(
template.get_def("dummy2"),
[
C,
D,
C_temp,
D_temp,
(self._persistent_array if self._test_kernel_adhoc_array else arr),
(10 if self._test_untyped_scalar else numpy.float32(10)),
],
global_size=A.shape,
local_size=(block_size, block_size),
render_kwds=dict(mul=mul, same_A_B=self._same_A_B),
)
return plan
def _build_plan(self, plan_factory, device_params, C, D, A, B, coeff):
plan = plan_factory()
arr_dtype = C.dtype
coeff_dtype = coeff.dtype
mul = functions.mul(arr_dtype, coeff_dtype)
div = functions.div(arr_dtype, coeff_dtype)
template = template_from("""
<%def name="dummy(kernel_declaration, C, D, A, B, coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${A.ctype} a = ${A.load_idx}(idx0, idx1);
${C.ctype} c = ${mul}(a, ${coeff});
${C.store_idx}(idx1, idx0, c);
%if same_A_B:
${B.ctype} b = ${B.load_idx}(idx0, idx1);
${D.ctype} d = ${div}(b, ${coeff});
${D.store_idx}(idx0, idx1, d);
%else:
if (idx1 == 0)
{
${B.ctype} b = ${B.load_idx}(idx0);
${D.ctype} d = ${div}(b, ${coeff});
${D.store_idx}(idx0, d);
}
%endif
}
</%def>
<%def name="dummy2(kernel_declaration, CC, DD, C, D, pers_arr, const_coeff)">
${kernel_declaration}
{
VIRTUAL_SKIP_THREADS;
VSIZE_T idx0 = virtual_global_id(0);
VSIZE_T idx1 = virtual_global_id(1);
${CC.store_idx}(idx0, idx1, ${C.load_idx}(idx0, idx1));
%if same_A_B:
${DD.store_idx}(
idx0, idx1,
${mul}(${D.load_idx}(idx0, idx1), ${const_coeff}) +
${pers_arr.load_idx}(idx0, idx1));
%else:
if (idx1 == 0)
{
${DD.store_idx}(
idx0,
${mul}(${D.load_idx}(idx0), ${const_coeff}) +
${pers_arr.load_idx}(idx0));
}
%endif
}
</%def>
""")
block_size = 8
C_temp = plan.temp_array_like(C)
D_temp = plan.temp_array_like(D)
arr = plan.persistent_array(self._persistent_array)
plan.kernel_call(template.get_def('dummy'),
[C_temp, D_temp, A, B, coeff],
global_size=A.shape,
local_size=(block_size, block_size),
render_kwds=dict(mul=mul,
div=div,
same_A_B=self._same_A_B))
plan.kernel_call(template.get_def('dummy2'), [
C, D, C_temp, D_temp,
(self._persistent_array if self._test_kernel_adhoc_array else arr),
(10 if self._test_untyped_scalar else numpy.float32(10))
],
global_size=A.shape,
local_size=(block_size, block_size),
render_kwds=dict(mul=mul, same_A_B=self._same_A_B))
return plan