Commit 4800ae9d authored by Stefan Behnel's avatar Stefan Behnel

Merge branch 'master' of git+ssh://github.com/cython/cython

parents e114b2cf 993f5a07
# tag: numpy
# You can ignore the previous line.
# It's for internal testing of the cython documentation.
from __future__ import division
import numpy as np
# "cimport" is used to import special compile-time information
# about the numpy module (this is stored in a file numpy.pxd which is
# currently part of the Cython distribution).
cimport numpy as np
# We now need to fix a datatype for our arrays. I've used the variable
# DTYPE for this, which is assigned to the usual NumPy runtime
# type info object.
DTYPE = np.int
# "ctypedef" assigns a corresponding compile-time type to DTYPE_t. For
# every type in the numpy module there's a corresponding compile-time
# type with a _t-suffix.
ctypedef np.int_t DTYPE_t
# "def" can type its arguments but not have a return type. The type of the
# arguments for a "def" function is checked at run-time when entering the
# function.
#
# The arrays f, g and h is typed as "np.ndarray" instances. The only effect
# this has is to a) insert checks that the function arguments really are
# NumPy arrays, and b) make some attribute access like f.shape[0] much
# more efficient. (In this example this doesn't matter though.)
def naive_convolve(np.ndarray f, np.ndarray g):
if g.shape[0] % 2 != 1 or g.shape[1] % 2 != 1:
raise ValueError("Only odd dimensions on filter supported")
assert f.dtype == DTYPE and g.dtype == DTYPE
# The "cdef" keyword is also used within functions to type variables. It
# can only be used at the top indentation level (there are non-trivial
# problems with allowing them in other places, though we'd love to see
# good and thought out proposals for it).
#
# For the indices, the "int" type is used. This corresponds to a C int,
# other C types (like "unsigned int") could have been used instead.
# Purists could use "Py_ssize_t" which is the proper Python type for
# array indices.
cdef int vmax = f.shape[0]
cdef int wmax = f.shape[1]
cdef int smax = g.shape[0]
cdef int tmax = g.shape[1]
cdef int smid = smax // 2
cdef int tmid = tmax // 2
cdef int xmax = vmax + 2 * smid
cdef int ymax = wmax + 2 * tmid
cdef np.ndarray h = np.zeros([xmax, ymax], dtype=DTYPE)
cdef int x, y, s, t, v, w
# It is very important to type ALL your variables. You do not get any
# warnings if not, only much slower code (they are implicitly typed as
# Python objects).
cdef int s_from, s_to, t_from, t_to
# For the value variable, we want to use the same data type as is
# stored in the array, so we use "DTYPE_t" as defined above.
# NB! An important side-effect of this is that if "value" overflows its
# datatype size, it will simply wrap around like in C, rather than raise
# an error like in Python.
cdef DTYPE_t value
for x in range(xmax):
for y in range(ymax):
s_from = max(smid - x, -smid)
s_to = min((xmax - x) - smid, smid + 1)
t_from = max(tmid - y, -tmid)
t_to = min((ymax - y) - tmid, tmid + 1)
value = 0
for s in range(s_from, s_to):
for t in range(t_from, t_to):
v = x - smid + s
w = y - tmid + t
value += g[smid - s, tmid - t] * f[v, w]
h[x, y] = value
return h
from __future__ import division
import numpy as np
def naive_convolve(f, g):
# f is an image and is indexed by (v, w)
# g is a filter kernel and is indexed by (s, t),
# it needs odd dimensions
# h is the output image and is indexed by (x, y),
# it is not cropped
if g.shape[0] % 2 != 1 or g.shape[1] % 2 != 1:
raise ValueError("Only odd dimensions on filter supported")
# smid and tmid are number of pixels between the center pixel
# and the edge, ie for a 5x5 filter they will be 2.
#
# The output size is calculated by adding smid, tmid to each
# side of the dimensions of the input image.
vmax = f.shape[0]
wmax = f.shape[1]
smax = g.shape[0]
tmax = g.shape[1]
smid = smax // 2
tmid = tmax // 2
xmax = vmax + 2 * smid
ymax = wmax + 2 * tmid
# Allocate result image.
h = np.zeros([xmax, ymax], dtype=f.dtype)
# Do convolution
for x in range(xmax):
for y in range(ymax):
# Calculate pixel value for h at (x,y). Sum one component
# for each pixel (s, t) of the filter g.
s_from = max(smid - x, -smid)
s_to = min((xmax - x) - smid, smid + 1)
t_from = max(tmid - y, -tmid)
t_to = min((ymax - y) - tmid, tmid + 1)
value = 0
for s in range(s_from, s_to):
for t in range(t_from, t_to):
v = x - smid + s
w = y - tmid + t
value += g[smid - s, tmid - t] * f[v, w]
h[x, y] = value
return h
......@@ -21,50 +21,7 @@ valid Python and valid Cython code. I'll refer to it as both
:file:`convolve_py.py` for the Python version and :file:`convolve1.pyx` for
the Cython version -- Cython uses ".pyx" as its file suffix.
.. code-block:: python
from __future__ import division
import numpy as np
def naive_convolve(f, g):
# f is an image and is indexed by (v, w)
# g is a filter kernel and is indexed by (s, t),
# it needs odd dimensions
# h is the output image and is indexed by (x, y),
# it is not cropped
if g.shape[0] % 2 != 1 or g.shape[1] % 2 != 1:
raise ValueError("Only odd dimensions on filter supported")
# smid and tmid are number of pixels between the center pixel
# and the edge, ie for a 5x5 filter they will be 2.
#
# The output size is calculated by adding smid, tmid to each
# side of the dimensions of the input image.
vmax = f.shape[0]
wmax = f.shape[1]
smax = g.shape[0]
tmax = g.shape[1]
smid = smax // 2
tmid = tmax // 2
xmax = vmax + 2*smid
ymax = wmax + 2*tmid
# Allocate result image.
h = np.zeros([xmax, ymax], dtype=f.dtype)
# Do convolution
for x in range(xmax):
for y in range(ymax):
# Calculate pixel value for h at (x,y). Sum one component
# for each pixel (s, t) of the filter g.
s_from = max(smid - x, -smid)
s_to = min((xmax - x) - smid, smid + 1)
t_from = max(tmid - y, -tmid)
t_to = min((ymax - y) - tmid, tmid + 1)
value = 0
for s in range(s_from, s_to):
for t in range(t_from, t_to):
v = x - smid + s
w = y - tmid + t
value += g[smid - s, tmid - t] * f[v, w]
h[x, y] = value
return h
.. literalinclude:: ../../examples/tutorial/numpy/convolve_py.py
This should be compiled to produce :file:`yourmod.so` (for Linux systems). We
run a Python session to test both the Python version (imported from
......@@ -105,77 +62,9 @@ Adding types
=============
To add types we use custom Cython syntax, so we are now breaking Python source
compatibility. Consider this code (*read the comments!*) ::
from __future__ import division
import numpy as np
# "cimport" is used to import special compile-time information
# about the numpy module (this is stored in a file numpy.pxd which is
# currently part of the Cython distribution).
cimport numpy as np
# We now need to fix a datatype for our arrays. I've used the variable
# DTYPE for this, which is assigned to the usual NumPy runtime
# type info object.
DTYPE = np.int
# "ctypedef" assigns a corresponding compile-time type to DTYPE_t. For
# every type in the numpy module there's a corresponding compile-time
# type with a _t-suffix.
ctypedef np.int_t DTYPE_t
# "def" can type its arguments but not have a return type. The type of the
# arguments for a "def" function is checked at run-time when entering the
# function.
#
# The arrays f, g and h is typed as "np.ndarray" instances. The only effect
# this has is to a) insert checks that the function arguments really are
# NumPy arrays, and b) make some attribute access like f.shape[0] much
# more efficient. (In this example this doesn't matter though.)
def naive_convolve(np.ndarray f, np.ndarray g):
if g.shape[0] % 2 != 1 or g.shape[1] % 2 != 1:
raise ValueError("Only odd dimensions on filter supported")
assert f.dtype == DTYPE and g.dtype == DTYPE
# The "cdef" keyword is also used within functions to type variables. It
# can only be used at the top indentation level (there are non-trivial
# problems with allowing them in other places, though we'd love to see
# good and thought out proposals for it).
#
# For the indices, the "int" type is used. This corresponds to a C int,
# other C types (like "unsigned int") could have been used instead.
# Purists could use "Py_ssize_t" which is the proper Python type for
# array indices.
cdef int vmax = f.shape[0]
cdef int wmax = f.shape[1]
cdef int smax = g.shape[0]
cdef int tmax = g.shape[1]
cdef int smid = smax // 2
cdef int tmid = tmax // 2
cdef int xmax = vmax + 2*smid
cdef int ymax = wmax + 2*tmid
cdef np.ndarray h = np.zeros([xmax, ymax], dtype=DTYPE)
cdef int x, y, s, t, v, w
# It is very important to type ALL your variables. You do not get any
# warnings if not, only much slower code (they are implicitly typed as
# Python objects).
cdef int s_from, s_to, t_from, t_to
# For the value variable, we want to use the same data type as is
# stored in the array, so we use "DTYPE_t" as defined above.
# NB! An important side-effect of this is that if "value" overflows its
# datatype size, it will simply wrap around like in C, rather than raise
# an error like in Python.
cdef DTYPE_t value
for x in range(xmax):
for y in range(ymax):
s_from = max(smid - x, -smid)
s_to = min((xmax - x) - smid, smid + 1)
t_from = max(tmid - y, -tmid)
t_to = min((ymax - y) - tmid, tmid + 1)
value = 0
for s in range(s_from, s_to):
for t in range(t_from, t_to):
v = x - smid + s
w = y - tmid + t
value += g[smid - s, tmid - t] * f[v, w]
h[x, y] = value
return h
compatibility. Consider this code (*read the comments!*) :
.. literalinclude:: ../../examples/tutorial/numpy/convolve2.pyx
After building this and continuing my (very informal) benchmarks, I get:
......
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