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Commit 301a5e9c by Zoltan Karsa
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cupy integrate

parent b9a0229d
Showing with 67 additions and 49 deletions
genax.py
import numpy, matplotlib.pyplot as plt import cupy as cp, matplotlib.pyplot as plt
from numba import cuda from numba import cuda
from utils import expSpace from utils import expSpace
...@@ -6,41 +6,57 @@ def gen_angels_to_pick(n, plot = False): ...@@ -6,41 +6,57 @@ def gen_angels_to_pick(n, plot = False):
if n % 2 == 0: if n % 2 == 0:
raise "n%2==0" raise "n%2==0"
N = int((n + 3) / 2) N = int((n + 3) / 2)
X1 = expSpace(0.0, numpy.pi/2.0, N) X1 = expSpace(0.0, cp.pi/2.0, N)
X3 = expSpace(numpy.pi/2.0, numpy.pi, N) X3 = expSpace(cp.pi/2.0, cp.pi, N)
X3 = -1*X3 + 3.0*numpy.pi/2.0 X3 = -1*X3 + 3.0*cp.pi/2.0
anglestopick = numpy.concatenate((X1, X3), axis=None) anglestopick = cp.concatenate((X1, X3), axis=None)
anglestopick = numpy.unique(anglestopick) # Vigyázni vele! anglestopick = cp.unique(anglestopick) # Vigyázni vele!
anglestopick = anglestopick[1:-1] anglestopick = anglestopick[1:-1]
if plot: if plot:
Y = numpy.zeros(n) Y = cp.zeros(n)
plt.plot(anglestopick, Y, '|') plt.plot(anglestopick, Y, '|')
plt.show() plt.show()
return anglestopick return anglestopick
def angles_alap(anglestopick, plot = False): parosit = cp.RawKernel(r'''
alpha_arr = numpy.array([]) extern "C"
beta_arr = numpy.array([]) __global__
void my_add(const double* x1, const double* x2, double* a, double* b, const size_t m, const float PI) {
int tid = blockDim.x * blockIdx.x + threadIdx.x;
float alpha = x1[tid];
for (size_t i = 0; i < m; i++) {
float betha = x2[i];
if ((alpha + betha) < PI && betha > alpha && alpha > 0.0) {
a[tid*m+i] = alpha;
b[tid*m+i] = betha;
} else {
a[tid*m+i] = -1.0;
b[tid*m+i] = -1.0;
}
}
}
''', 'parosit')
for alpha in anglestopick: def angles_alap(anglestopick, plot = False):
for beta in anglestopick: m = anglestopick.size
if alpha + beta < numpy.pi and beta >= alpha and alpha != 0.0: # vigyázni alpha_arr = cp.zeros((m, m), dtype=cp.float64)
alpha_arr = numpy.insert(alpha_arr, 0, alpha) beta_arr = cp.zeros((m, m), dtype=cp.float64)
beta_arr = numpy.insert(beta_arr, 0, beta)
parosit((1,), (m,), (anglestopick, anglestopick, alpha_arr, beta_arr, m, cp.pi))
tompa_beta_arr = beta_arr[beta_arr > numpy.pi] tompa_beta_arr = beta_arr[beta_arr > cp.pi]
tompa_beta_mpi_arr = tompa_beta_arr - numpy.pi/2 tompa_beta_mpi_arr = tompa_beta_arr - cp.pi/2
hegyes_beta_arr = beta_arr[beta_arr <= numpy.pi] hegyes_beta_arr = beta_arr[beta_arr <= cp.pi]
tompa_alpha_arr = alpha_arr[beta_arr > numpy.pi] tompa_alpha_arr = alpha_arr[beta_arr > cp.pi]
hegyes_alpha_arr = alpha_arr[alpha_arr <= numpy.pi] hegyes_alpha_arr = alpha_arr[alpha_arr <= cp.pi]
tghB = numpy.tan(hegyes_beta_arr) tghB = cp.tan(hegyes_beta_arr)
tghA = numpy.tan(hegyes_alpha_arr) tghA = cp.tan(hegyes_alpha_arr)
tgtB_mpi = numpy.tan(tompa_beta_mpi_arr) tgtB_mpi = cp.tan(tompa_beta_mpi_arr)
tgtA = numpy.tan(tompa_alpha_arr) tgtA = cp.tan(tompa_alpha_arr)
# hegyes # hegyes
sztgh = tghB*tghA sztgh = tghB*tghA
...@@ -54,32 +70,32 @@ def angles_alap(anglestopick, plot = False): ...@@ -54,32 +70,32 @@ def angles_alap(anglestopick, plot = False):
tCy = tgtA / mtgt tCy = tgtA / mtgt
tCx = tCy / tgtA tCx = tCy / tgtA
Cy = numpy.concatenate((hCy, tCy), axis=None) Cy = cp.concatenate((hCy, tCy), axis=None)
Cx = numpy.concatenate((hCx, tCx), axis=None) Cx = cp.concatenate((hCx, tCx), axis=None)
return Cx, Cy return Cx, Cy
def angles_ratet(anglestopick, plot = False): def angles_ratet(anglestopick, plot = False):
alpha_arr = numpy.array([]) alpha_arr = cp.array([])
beta_arr = numpy.array([]) beta_arr = cp.array([])
for alpha in anglestopick: for alpha in anglestopick:
for beta in anglestopick: for beta in anglestopick:
if alpha + beta < numpy.pi and alpha != 0.0: # vigyázni if alpha + beta < cp.pi and alpha != 0.0: # vigyázni
alpha_arr = numpy.insert(alpha_arr, 0, alpha) alpha_arr = cp.put(alpha_arr, 0, alpha)
beta_arr = numpy.insert(beta_arr, 0, beta) beta_arr = cp.put(beta_arr, 0, beta)
tompa_beta_arr = beta_arr[beta_arr > numpy.pi] tompa_beta_arr = beta_arr[beta_arr > cp.pi]
tompa_beta_mpi_arr = tompa_beta_arr - numpy.pi/2 tompa_beta_mpi_arr = tompa_beta_arr - cp.pi/2
hegyes_beta_arr = beta_arr[beta_arr <= numpy.pi] hegyes_beta_arr = beta_arr[beta_arr <= cp.pi]
tompa_alpha_arr = alpha_arr[beta_arr > numpy.pi] tompa_alpha_arr = alpha_arr[beta_arr > cp.pi]
hegyes_alpha_arr = alpha_arr[alpha_arr <= numpy.pi] hegyes_alpha_arr = alpha_arr[alpha_arr <= cp.pi]
tghB = numpy.tan(hegyes_beta_arr) tghB = cp.tan(hegyes_beta_arr)
tghA = numpy.tan(hegyes_alpha_arr) tghA = cp.tan(hegyes_alpha_arr)
tgtB_mpi = numpy.tan(tompa_beta_mpi_arr) tgtB_mpi = cp.tan(tompa_beta_mpi_arr)
tgtA = numpy.tan(tompa_alpha_arr) tgtA = cp.tan(tompa_alpha_arr)
# hegyes # hegyes
sztgh = tghB*tghA sztgh = tghB*tghA
...@@ -93,14 +109,14 @@ def angles_ratet(anglestopick, plot = False): ...@@ -93,14 +109,14 @@ def angles_ratet(anglestopick, plot = False):
tCy = tgtA / mtgt tCy = tgtA / mtgt
tCx = tCy / tgtA tCx = tCy / tgtA
Ey = numpy.concatenate((hCy, tCy), axis=None) Ey = cp.concatenate((hCy, tCy), axis=None)
Ex = numpy.concatenate((hCx, tCx), axis=None) Ex = cp.concatenate((hCx, tCx), axis=None)
cos = numpy.cos(anglestopick) cos = cp.cos(anglestopick)
sin = numpy.sin(anglestopick) sin = cp.sin(anglestopick)
Dx = numpy.outer(numpy.full(anglestopick.size, 1.0), Ex).flatten() Dx = cp.outer(cp.full(anglestopick.size, 1.0), Ex).flatten()
Dy = numpy.outer(cos, Ey).flatten() Dy = cp.outer(cos, Ey).flatten()
Dz = numpy.outer(sin, Ey).flatten() Dz = cp.outer(sin, Ey).flatten()
return Dx, Dy, Dz return Dx, Dy, Dz
\ No newline at end of file
utils.py
import numpy import cupy as cp
def expSpace(min, max, N, exponentialliness = 20.0): def expSpace(min, max, N, exponentialliness = 20.0):
LinVec = numpy.linspace(0, numpy.log10(exponentialliness+1),N) LinVec = cp.linspace(0, cp.log10(exponentialliness+1),N)
return (max-min)/exponentialliness * (10.0**LinVec - 1) + min return (max-min)/exponentialliness * (10.0**LinVec - 1) + min
\ No newline at end of file
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