def run(self, n, version):
f = globals()[version]
# Don't repeat when slow
if version == 'fib1' and n > 10:
# Skip altogether
if n > 30:
return None
t1 = clock()
f(n)
t2 = clock()
return t2 - t1
# Need to repeat many times to get accurate timings for small n
else:
t1 = clock()
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
f(n)
t2 = clock()
return (t2 - t1) / 14
def run(self, version, n):
module = __import__(version)
if version == 'sympy' and n > 10:
return None
x, y, z = map(module.Symbol, 'xyz')
t1 = clock()
e = ((x+y+z)**n * (y+x)**(n-1)).expand()
t2 = clock()
return t2-t1
def run(self, version, n):
module = __import__(version)
if version == 'sympy' and n > 10:
return None
x, y, z = map(module.Symbol, 'xyz')
t1 = clock()
e = ((x + y + z)**n * (y + x)**(n - 1)).expand()
t2 = clock()
return t2 - t1
def run(self, version, n):
module = __import__(version)
x = module.Symbol('x')
if version == 'sympy' and n > 30:
return None
b, a = x, 1
t1 = clock()
for n in range(1, n):
b, a = (((2*n+1)*x*b - n*a)/(n+1)).expand(), b
t2 = clock()
return t2-t1
def run(self, version, n):
module = __import__(version)
x = module.Symbol('x')
if version == 'sympy' and n > 30:
return None
b, a = x, 1
t1 = clock()
for n in range(1, n):
b, a = (((2 * n + 1) * x * b - n * a) / (n + 1)).expand(), b
t2 = clock()
return t2 - t1
def run(self, version):
module = __import__(version)
x, y, z = map(module.Symbol, 'xyz')
a = 3*x + 2*x*y - module.Rational(1,2)*z + 2
b = 2*x + module.Rational(3,2)*x*y + 4*z - 2
n = N = 100
t1 = clock()
while n:
a + n*b
n -= 1
t2 = clock()
return (t2-t1)/N
def run(self, version):
module = __import__(version)
x, y, z = map(module.Symbol, 'xyz')
a = 3 * x + 2 * x * y - module.Rational(1, 2) * z + 2
b = 2 * x + module.Rational(3, 2) * x * y + 4 * z - 2
n = N = 100
t1 = clock()
while n:
a + n * b
n -= 1
t2 = clock()
return (t2 - t1) / N
def handle(self, *args, **options):
time.sleep(1)
print "start"
t1 = clock()
data = [U() for x in xrange(100)]
print "finished in", clock() - t1
print "sleeping"
time.sleep(2)
print "stop"
def run(self, n, version):
f = globals()[version]
# Don't repeat when slow
if version == 'fib1' and n > 10:
# Skip altogether
if n > 30:
return None
t1 = clock()
f(n)
t2 = clock()
return t2-t1
# Need to repeat many times to get accurate timings for small n
else:
t1 = clock()
f(n); f(n); f(n); f(n); f(n); f(n); f(n)
f(n); f(n); f(n); f(n); f(n); f(n); f(n)
t2 = clock()
return (t2 - t1) / 14
def run(diffusivity, current_time, dt, endtime, **kwargs):
op2.init(**kwargs)
# Set up finite element problem
T = FiniteElement("Lagrange", "triangle", 1)
V = VectorElement("Lagrange", "triangle", 1)
p = TrialFunction(T)
q = TestFunction(T)
t = Coefficient(T)
u = Coefficient(V)
diffusivity = 0.1
M = p * q * dx
adv_rhs = (q * t + dt * dot(grad(q), u) * t) * dx
d = -dt * diffusivity * dot(grad(q), grad(p)) * dx
diff_matrix = M - 0.5 * d
diff_rhs = action(M + 0.5 * d, t)
# Generate code for mass and rhs assembly.
mass = compile_form(M, "mass")[0]
adv_rhs = compile_form(adv_rhs, "adv_rhs")[0]
diff_matrix = compile_form(diff_matrix, "diff_matrix")[0]
diff_rhs = compile_form(diff_rhs, "diff_rhs")[0]
# Set up simulation data structures
valuetype = np.float64
nodes, coords, elements, elem_node = read_triangle(kwargs['mesh'])
num_nodes = nodes.size
sparsity = op2.Sparsity((elem_node, elem_node), 1, "sparsity")
mat = op2.Mat(sparsity, valuetype, "mat")
tracer_vals = np.asarray([0.0] * num_nodes, dtype=valuetype)
tracer = op2.Dat(nodes, 1, tracer_vals, valuetype, "tracer")
b_vals = np.asarray([0.0] * num_nodes, dtype=valuetype)
b = op2.Dat(nodes, 1, b_vals, valuetype, "b")
velocity_vals = np.asarray([1.0, 0.0] * num_nodes, dtype=valuetype)
velocity = op2.Dat(nodes, 2, velocity_vals, valuetype, "velocity")
# Set initial condition
i_cond_code = """
void i_cond(double *c, double *t)
{
double i_t = 0.01; // Initial time
double A = 0.1; // Normalisation
double D = 0.1; // Diffusivity
double pi = 3.141459265358979;
double x = c[0]-0.5;
double y = c[1]-0.5;
double r = sqrt(x*x+y*y);
if (r<0.25)
*t = A*(exp((-(r*r))/(4*D*i_t))/(4*pi*D*i_t));
else
*t = 0.0;
}
"""
i_cond = op2.Kernel(i_cond_code, "i_cond")
op2.par_loop(i_cond, nodes, coords(op2.IdentityMap, op2.READ),
tracer(op2.IdentityMap, op2.WRITE))
zero_dat_code = """
void zero_dat(double *dat)
{
*dat = 0.0;
}
"""
zero_dat = op2.Kernel(zero_dat_code, "zero_dat")
# Assemble and solve
have_advection = True
have_diffusion = True
def timestep_iteration():
# Advection
if have_advection:
tic('advection')
tic('assembly')
mat.zero()
op2.par_loop(
mass, elements(3, 3),
mat((elem_node[op2.i[0]], elem_node[op2.i[1]]), op2.INC),
coords(elem_node, op2.READ))
op2.par_loop(zero_dat, nodes, b(op2.IdentityMap, op2.WRITE))
op2.par_loop(adv_rhs, elements(3), b(elem_node[op2.i[0]], op2.INC),
coords(elem_node, op2.READ),
tracer(elem_node, op2.READ),
velocity(elem_node, op2.READ))
toc('assembly')
tic('solve')
op2.solve(mat, tracer, b)
toc('solve')
toc('advection')
# Diffusion
if have_diffusion:
tic('diffusion')
tic('assembly')
mat.zero()
op2.par_loop(
diff_matrix, elements(3, 3),
mat((elem_node[op2.i[0]], elem_node[op2.i[1]]), op2.INC),
coords(elem_node, op2.READ))
op2.par_loop(zero_dat, nodes, b(op2.IdentityMap, op2.WRITE))
op2.par_loop(diff_rhs, elements(3), b(elem_node[op2.i[0]],
op2.INC),
coords(elem_node, op2.READ),
tracer(elem_node, op2.READ))
toc('assembly')
tic('solve')
op2.solve(mat, tracer, b)
toc('solve')
toc('diffusion')
# Perform 1 iteration to warm up plan cache then reset initial condition
timestep_iteration()
op2.par_loop(i_cond, nodes, coords(op2.IdentityMap, op2.READ),
tracer(op2.IdentityMap, op2.WRITE))
reset()
# Timed iteration
t1 = clock()
while current_time < endtime:
timestep_iteration()
current_time += dt
runtime = clock() - t1
print "/fluidity :: %f" % runtime
summary('profile_pyop2_%s_%s.csv' %
(opt['mesh'].split('/')[-1], opt['backend']))
def __exit__(self, type, value, traceback):
self.stop = clock()
def __enter__(self):
self.start = clock()
return self
def run(diffusivity, current_time, dt, endtime, **kwargs):
op2.init(**kwargs)
# Set up finite element problem
T = FiniteElement("Lagrange", "triangle", 1)
V = VectorElement("Lagrange", "triangle", 1)
p = TrialFunction(T)
q = TestFunction(T)
t = Coefficient(T)
u = Coefficient(V)
diffusivity = 0.1
M = p * q * dx
adv_rhs = (q * t + dt * dot(grad(q), u) * t) * dx
d = -dt * diffusivity * dot(grad(q), grad(p)) * dx
diff_matrix = M - 0.5 * d
diff_rhs = action(M + 0.5 * d, t)
# Generate code for mass and rhs assembly.
mass = compile_form(M, "mass")[0]
adv_rhs = compile_form(adv_rhs, "adv_rhs")[0]
diff_matrix = compile_form(diff_matrix, "diff_matrix")[0]
diff_rhs = compile_form(diff_rhs, "diff_rhs")[0]
# Set up simulation data structures
valuetype = np.float64
nodes, coords, elements, elem_node = read_triangle(kwargs["mesh"])
num_nodes = nodes.size
sparsity = op2.Sparsity((elem_node, elem_node), 1, "sparsity")
mat = op2.Mat(sparsity, valuetype, "mat")
tracer_vals = np.asarray([0.0] * num_nodes, dtype=valuetype)
tracer = op2.Dat(nodes, 1, tracer_vals, valuetype, "tracer")
b_vals = np.asarray([0.0] * num_nodes, dtype=valuetype)
b = op2.Dat(nodes, 1, b_vals, valuetype, "b")
velocity_vals = np.asarray([1.0, 0.0] * num_nodes, dtype=valuetype)
velocity = op2.Dat(nodes, 2, velocity_vals, valuetype, "velocity")
# Set initial condition
i_cond_code = """
void i_cond(double *c, double *t)
{
double i_t = 0.01; // Initial time
double A = 0.1; // Normalisation
double D = 0.1; // Diffusivity
double pi = 3.141459265358979;
double x = c[0]-0.5;
double y = c[1]-0.5;
double r = sqrt(x*x+y*y);
if (r<0.25)
*t = A*(exp((-(r*r))/(4*D*i_t))/(4*pi*D*i_t));
else
*t = 0.0;
}
"""
i_cond = op2.Kernel(i_cond_code, "i_cond")
op2.par_loop(i_cond, nodes, coords(op2.IdentityMap, op2.READ), tracer(op2.IdentityMap, op2.WRITE))
zero_dat_code = """
void zero_dat(double *dat)
{
*dat = 0.0;
}
"""
zero_dat = op2.Kernel(zero_dat_code, "zero_dat")
# Assemble and solve
have_advection = True
have_diffusion = True
def timestep_iteration():
# Advection
if have_advection:
tic("advection")
tic("assembly")
mat.zero()
op2.par_loop(
mass,
elements(3, 3),
mat((elem_node[op2.i[0]], elem_node[op2.i[1]]), op2.INC),
coords(elem_node, op2.READ),
)
op2.par_loop(zero_dat, nodes, b(op2.IdentityMap, op2.WRITE))
op2.par_loop(
adv_rhs,
elements(3),
b(elem_node[op2.i[0]], op2.INC),
coords(elem_node, op2.READ),
tracer(elem_node, op2.READ),
velocity(elem_node, op2.READ),
)
toc("assembly")
tic("solve")
op2.solve(mat, tracer, b)
toc("solve")
toc("advection")
# Diffusion
if have_diffusion:
tic("diffusion")
tic("assembly")
mat.zero()
op2.par_loop(
diff_matrix,
elements(3, 3),
mat((elem_node[op2.i[0]], elem_node[op2.i[1]]), op2.INC),
coords(elem_node, op2.READ),
)
op2.par_loop(zero_dat, nodes, b(op2.IdentityMap, op2.WRITE))
op2.par_loop(
diff_rhs,
elements(3),
b(elem_node[op2.i[0]], op2.INC),
coords(elem_node, op2.READ),
tracer(elem_node, op2.READ),
)
toc("assembly")
tic("solve")
op2.solve(mat, tracer, b)
toc("solve")
toc("diffusion")
# Perform 1 iteration to warm up plan cache then reset initial condition
timestep_iteration()
op2.par_loop(i_cond, nodes, coords(op2.IdentityMap, op2.READ), tracer(op2.IdentityMap, op2.WRITE))
reset()
# Timed iteration
t1 = clock()
while current_time < endtime:
timestep_iteration()
current_time += dt
runtime = clock() - t1
print "/fluidity :: %f" % runtime
summary("profile_pyop2_%s_%s.csv" % (opt["mesh"].split("/")[-1], opt["backend"]))
