def drawGR(self):
if self.visible:
gr.setcolormap(self.colormap)
# GKS origin at upper left corner
# swapped ymin, ymax to get have origin
# at lower left corner (mirror y)
gr.cellarray(self.x[0], self.x[-1], self.y[-1], self.y[0],
len(self.x), len(self.y), self.z)
def _plot_img(I):
global _plt
if isinstance(I, basestring):
width, height, data = gr.readimage(I)
if width == 0 or height == 0:
return
else:
I = np.array(I)
width, height = I.shape
data = np.array(1000+(1.0*I - I.min()) / I.ptp() * 255, np.int32)
if _plt.kwargs['clear']:
gr.clearws()
if not _plt.kwargs['ax']:
_set_viewport('line', _plt.kwargs['subplot'])
viewport = _plt.kwargs['viewport']
vp = _plt.kwargs['vp']
if width * (viewport[3] - viewport[2]) < height * (viewport[1] - viewport[0]):
w = width / height * (viewport[3] - viewport[2])
x_min = max(0.5 * (viewport[0] + viewport[1] - w), viewport[0])
x_max = min(0.5 * (viewport[0] + viewport[1] + w), viewport[1])
y_min = viewport[2]
y_max = viewport[3]
else:
h = height / width * (viewport[1] - viewport[0])
x_min = viewport[0]
x_max = viewport[1]
y_min = max(0.5 * (viewport[3] + viewport[2] - h), viewport[2])
y_max = min(0.5 * (viewport[3] + viewport[2] + h), viewport[3])
if 'cmap' in _plt.kwargs:
warnings.warn('The parameter "cmap" has been replaced by "colormap". The value of "cmap" will be ignored.', stacklevel=3)
colormap = _plt.kwargs.get('colormap', gr.COLORMAP_VIRIDIS)
if colormap is not None:
gr.setcolormap(colormap)
gr.selntran(0)
if isinstance(I, basestring):
gr.drawimage(x_min, x_max, y_min, y_max, width, height, data)
else:
gr.cellarray(x_min, x_max, y_min, y_max, width, height, data)
if 'title' in _plt.kwargs:
gr.savestate()
gr.settextalign(gr.TEXT_HALIGN_CENTER, gr.TEXT_VALIGN_TOP)
gr.textext(0.5 * (viewport[0] + viewport[1]), vp[3], _plt.kwargs['title'])
gr.restorestate()
gr.selntran(1)
def _plot_img(I):
global _plt
if isinstance(I, basestring):
width, height, data = gr.readimage(I)
if width == 0 or height == 0:
return
else:
I = np.array(I)
width, height = I.shape
data = np.array(1000 + (1.0 * I - I.min()) / I.ptp() * 255, np.int32)
if _plt.kwargs['clear']:
gr.clearws()
if not _plt.kwargs['ax']:
_set_viewport('line', _plt.kwargs['subplot'])
viewport = _plt.kwargs['viewport']
vp = _plt.kwargs['vp']
if width * (viewport[3] - viewport[2]) < height * (viewport[1] -
viewport[0]):
w = width / height * (viewport[3] - viewport[2])
x_min = max(0.5 * (viewport[0] + viewport[1] - w), viewport[0])
x_max = min(0.5 * (viewport[0] + viewport[1] + w), viewport[1])
y_min = viewport[2]
y_max = viewport[3]
else:
h = height / width * (viewport[1] - viewport[0])
x_min = viewport[0]
x_max = viewport[1]
y_min = max(0.5 * (viewport[3] + viewport[2] - h), viewport[2])
y_max = min(0.5 * (viewport[3] + viewport[2] + h), viewport[3])
gr.setcolormap(_plt.kwargs.get('cmap', 1))
gr.selntran(0)
if isinstance(I, basestring):
gr.drawimage(x_min, x_max, y_min, y_max, width, height, data)
else:
gr.cellarray(x_min, x_max, y_min, y_max, width, height, data)
if 'title' in _plt.kwargs:
gr.savestate()
gr.settextalign(gr.TEXT_HALIGN_CENTER, gr.TEXT_VALIGN_TOP)
gr.textext(0.5 * (viewport[0] + viewport[1]), vp[3],
_plt.kwargs['title'])
gr.restorestate()
gr.selntran(1)
def _plot_img(I):
global _plt
if isinstance(I, basestring):
width, height, data = gr.readimage(I)
if width == 0 or height == 0:
return
else:
I = np.array(I)
width, height = I.shape
data = np.array(1000+(1.0*I - I.min()) / I.ptp() * 255, np.int32)
if _plt.kwargs['clear']:
gr.clearws()
if not _plt.kwargs['ax']:
_set_viewport('line', _plt.kwargs['subplot'])
viewport = _plt.kwargs['viewport']
vp = _plt.kwargs['vp']
if width * (viewport[3] - viewport[2]) < height * (viewport[1] - viewport[0]):
w = width / height * (viewport[3] - viewport[2])
x_min = max(0.5 * (viewport[0] + viewport[1] - w), viewport[0])
x_max = min(0.5 * (viewport[0] + viewport[1] + w), viewport[1])
y_min = viewport[2]
y_max = viewport[3]
else:
h = height / width * (viewport[1] - viewport[0])
x_min = viewport[0]
x_max = viewport[1]
y_min = max(0.5 * (viewport[3] + viewport[2] - h), viewport[2])
y_max = min(0.5 * (viewport[3] + viewport[2] + h), viewport[3])
gr.setcolormap(_plt.kwargs.get('cmap', 1))
gr.selntran(0)
if isinstance(I, basestring):
gr.drawimage(x_min, x_max, y_min, y_max, width, height, data)
else:
gr.cellarray(x_min, x_max, y_min, y_max, width, height, data)
if 'title' in _plt.kwargs:
gr.savestate()
gr.settextalign(gr.TEXT_HALIGN_CENTER, gr.TEXT_VALIGN_TOP)
gr.textext(0.5 * (viewport[0] + viewport[1]), vp[3], _plt.kwargs['title'])
gr.restorestate()
gr.selntran(1)
def _colorbar(off=0.0, colors=256):
global _plt
gr.savestate()
viewport = _plt.kwargs['viewport']
zmin, zmax = _plt.kwargs['zrange']
gr.setwindow(0, 1, zmin, zmax)
gr.setviewport(viewport[1] + 0.02 + off, viewport[1] + 0.05 + off,
viewport[2], viewport[3])
l = [1000+int(255*i/(colors-1)) for i in range(colors)]
gr.cellarray(0, 1, zmax, zmin, 1, colors, l)
diag = ((viewport[1] - viewport[0])**2 + (viewport[3] - viewport[2])**2)**0.5
charheight = max(0.016 * diag, 0.012)
gr.setcharheight(charheight)
if _plt.kwargs['scale'] & gr.OPTION_Z_LOG:
gr.setscale(gr.OPTION_Y_LOG)
gr.axes(0, 2, 1, zmin, 0, 1, 0.005)
else:
ztick = 0.5 * gr.tick(zmin, zmax)
gr.axes(0, ztick, 1, zmin, 0, 1, 0.005)
gr.restorestate()
def _colorbar(off=0.0, colors=256):
global _plt
gr.savestate()
viewport = _plt.kwargs['viewport']
zmin, zmax = _plt.kwargs['zrange']
gr.setwindow(0, 1, zmin, zmax)
gr.setviewport(viewport[1] + 0.02 + off, viewport[1] + 0.05 + off,
viewport[2], viewport[3])
l = [1000+int(255*i/(colors-1)) for i in range(colors)]
gr.cellarray(0, 1, zmax, zmin, 1, colors, l)
diag = ((viewport[1] - viewport[0])**2 + (viewport[3] - viewport[2])**2)**0.5
charheight = max(0.016 * diag, 0.012)
gr.setcharheight(charheight)
if _plt.kwargs['scale'] & gr.OPTION_Z_LOG:
gr.setscale(gr.OPTION_Y_LOG)
gr.axes(0, 2, 1, zmin, 0, 1, 0.005)
else:
ztick = 0.5 * gr.tick(zmin, zmax)
gr.axes(0, ztick, 1, zmin, 0, 1, 0.005)
gr.restorestate()
for y in xrange(startY, height, gridY):
imag = min_y + y * pixel_size_y
image[y, x] = mandel(real, imag, max_iters)
x = -0.9223327810370947027656057193752719757635
y = 0.3102598350874576432708737495917724836010
image = np.zeros((500, 500), dtype = np.uint8)
blockdim = (32, 8)
griddim = (32, 16)
f = 0.5
for i in range(200):
start = timer()
d_image = cuda.to_device(image)
mandel_kernel[griddim, blockdim](x-f, x+f, y-f, y+f, d_image, 400)
d_image.to_host()
dt = timer() - start
print("Mandelbrot created in %f s" % dt)
ca = 1000.0 + image.ravel()
gr.clearws()
gr.setviewport(0, 1, 0, 1)
gr.setcolormap(13)
gr.cellarray(0, 1, 0, 1, 500, 500, ca)
gr.updatews()
f *= 0.9
for x in range(width):
real = min_x + x * pixel_size_x
for y in range(height):
imag = min_y + y * pixel_size_y
color = mandel(real, imag, iters)
image[y, x] = color
return image
x = -0.9223327810370947027656057193752719757635
y = 0.3102598350874576432708737495917724836010
f = 0.5
for i in range(200):
start = timer()
image = zeros((500, 500), dtype=uint8)
pixels = create_fractal(x - f, x + f, y - f, y + f, image, 400)
dt = timer() - start
print("Mandelbrot created in %f s" % dt)
ca = 1000.0 + pixels.ravel()
gr.clearws()
gr.setviewport(0, 1, 0, 1)
gr.setcolormap(13)
gr.cellarray(0, 1, 0, 1, 500, 500, ca)
gr.updatews()
f *= 0.9
def _plot_data(**kwargs):
global _plt
_plt.kwargs.update(kwargs)
if not _plt.args:
return
kind = _plt.kwargs.get('kind', 'line')
if _plt.kwargs['clear']:
gr.clearws()
if kind in ('imshow', 'isosurface'):
_set_viewport(kind, _plt.kwargs['subplot'])
elif not _plt.kwargs['ax']:
_set_viewport(kind, _plt.kwargs['subplot'])
_set_window(kind)
_draw_axes(kind)
gr.setcolormap(_plt.kwargs.get('colormap', gr.COLORMAP_COOLWARM))
gr.uselinespec(" ")
for x, y, z, c, spec in _plt.args:
gr.savestate()
if 'alpha' in _plt.kwargs:
gr.settransparency(_plt.kwargs['alpha'])
if kind == 'line':
mask = gr.uselinespec(spec)
if mask in (0, 1, 3, 4, 5):
gr.polyline(x, y)
if mask & 2:
gr.polymarker(x, y)
elif kind == 'scatter':
gr.setmarkertype(gr.MARKERTYPE_SOLID_CIRCLE)
if z is not None or c is not None:
if c is not None:
c_min = c.min()
c_ptp = c.ptp()
for i in range(len(x)):
if z is not None:
gr.setmarkersize(z[i] / 100.0)
if c is not None:
c_index = 1000 + int(255 * (c[i]-c_min)/c_ptp)
gr.setmarkercolorind(c_index)
gr.polymarker([x[i]], [y[i]])
else:
gr.polymarker(x, y)
elif kind == 'stem':
gr.setlinecolorind(1)
gr.polyline(_plt.kwargs['window'][:2], [0, 0])
gr.setmarkertype(gr.MARKERTYPE_SOLID_CIRCLE)
gr.uselinespec(spec)
for xi, yi in zip(x, y):
gr.polyline([xi, xi], [0, yi])
gr.polymarker(x, y)
elif kind == 'hist':
y_min = _plt.kwargs['window'][2]
for i in range(1, len(y)):
gr.setfillcolorind(989)
gr.setfillintstyle(gr.INTSTYLE_SOLID)
gr.fillrect(x[i-1], x[i], y_min, y[i])
gr.setfillcolorind(1)
gr.setfillintstyle(gr.INTSTYLE_HOLLOW)
gr.fillrect(x[i-1], x[i], y_min, y[i])
elif kind == 'contour':
z_min, z_max = _plt.kwargs['zrange']
gr.setspace(z_min, z_max, 0, 90)
h = [z_min + i/19*(z_max-z_min) for i in range(20)]
if x.shape == y.shape == z.shape:
x, y, z = gr.gridit(x, y, z, 200, 200)
z.shape = np.prod(z.shape)
gr.contour(x, y, h, z, 1000)
_colorbar(0, 20)
elif kind == 'contourf':
if x.shape == y.shape == z.shape:
x, y, z = gr.gridit(x, y, z, 200, 200)
z.shape = (200, 200)
if _plt.kwargs['scale'] & gr.OPTION_Z_LOG != 0:
z = np.log(z)
width, height = z.shape
data = np.array(1000+(z-z.min()) / z.ptp() * 255, np.int32)
x_min, x_max = _plt.kwargs['xrange']
y_min, y_max = _plt.kwargs['yrange']
gr.cellarray(x_min, x_max, y_max, y_min, width, height, data)
_colorbar()
elif kind == 'wireframe':
if x.shape == y.shape == z.shape:
x, y, z = gr.gridit(x, y, z, 50, 50)
gr.setfillcolorind(0)
z.shape = np.prod(z.shape)
gr.surface(x, y, z, gr.OPTION_FILLED_MESH)
_draw_axes(kind, 2)
elif kind == 'surface':
if x.shape == y.shape == z.shape:
x, y, z = gr.gridit(x, y, z, 200, 200)
z.shape = np.prod(z.shape)
if _plt.kwargs.get('accelerate', True):
gr3.surface(x, y, z, gr.OPTION_COLORED_MESH)
else:
gr.surface(x, y, z, gr.OPTION_COLORED_MESH)
_draw_axes(kind, 2)
_colorbar(0.05)
elif kind == 'plot3':
gr.polyline3d(x, y, z)
_draw_axes(kind, 2)
elif kind == 'scatter3':
gr.polymarker3d(x, y, z)
_draw_axes(kind, 2)
elif kind == 'imshow':
_plot_img(z)
elif kind == 'isosurface':
_plot_iso(z)
gr.restorestate()
if kind in ('line', 'scatter', 'stem') and 'labels' in _plt.kwargs:
_draw_legend()
if _plt.kwargs['update']:
gr.updatews()
if gr.isinline():
return gr.show()
uxx = ( ui[i+1,j] - 2*ui[i,j] + ui[i-1, j] )/(dx*dx)
uyy = ( ui[i,j+1] - 2*ui[i,j] + ui[i, j-1] )/(dy*dy)
u[i,j] = ui[i,j]+dt*a*(uxx+uyy)
diff_step_numba = jit('void(f8[:,:], f8[:,:])')(diff_step)
now = time.clock()
t = 0
worker = 'CPython'
for m in range(timesteps):
gr.clearws()
start = now
if t > 5:
diff_step_numba(u, ui)
worker = 'Numba'
else:
diff_step(u, ui)
ui = numpy.copy(u)
now = time.clock()
t = t + now - start
c = 1000 + 255 * u.ravel()
gr.setviewport(0, 1, 0, 1)
gr.setcolormap(-32)
gr.cellarray(0, 1, 0, 1, nx, ny, c)
gr.text(0.01, 0.95, '%10s: %7.2f fps' % (worker, 1.0 / (now - start)))
gr.updatews()
uyy = (ui[i, j + 1] - 2 * ui[i, j] + ui[i, j - 1]) / (dy * dy)
u[i, j] = ui[i, j] + dt * a * (uxx + uyy)
diff_step_numba = jit('void(f8[:,:], f8[:,:])')(diff_step)
now = perf_counter()
t = 0
worker = 'CPython'
for m in range(timesteps):
gr.clearws()
start = now
if t > 5:
diff_step_numba(u, ui)
worker = 'Numba'
else:
diff_step(u, ui)
ui = numpy.copy(u)
now = perf_counter()
t = t + now - start
c = 1000 + 255 * u.ravel()
gr.setviewport(0, 1, 0, 1)
gr.setcolormap(-32)
gr.cellarray(0, 1, 0, 1, nx, ny, c)
gr.text(0.01, 0.95, '%10s: %7.2f fps' % (worker, 1.0 / (now - start)))
gr.updatews()
