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    <p>I don't think tuple unpacking works in Cython like it does in Python. You have to specify the size of <code>checked</code> using <code>(board.shape[0], board.shape[1])</code>. </p> <p>You also need to specify the datatype of <code>checked</code>. By default <code>np.zeros</code> returns a <code>float64</code>. You need to change that to an <code>int32</code> to be compatible with the declared type.</p> <p>Here's a modified version that should run.</p> <pre><code>def score(np.ndarray[int, ndim=2] board): cdef np.ndarray[np.int32_t, ndim = 2] checked checked = np.zeros((board.shape[0], board.shape[1]), dtype='i4') for i in xrange(len(board)): for j in xrange(len(board)): if checked[i,j] == 0 and board[i,j] !=0: ... do stuff </code></pre> <p>To answer the second part of your question - yes you can append to lists within Cython functions. However, as I understand it this involves Python function calls, so it won't be any faster than the same operations within Python.</p> <p><strong>Update 1:</strong></p> <p>I believe those errors are because the compiler can't find the NumPy header files. Update your setup.py to include the path to those files. The path should be output by the <code>np.get_include()</code> function.</p> <pre><code>import numpy as np from distutils.core import setup from distutils.extension import Extension from Cython.Distutils import build_ext setup( cmdclass={'build_ext': build_ext}, ext_modules = [ Extension("new_gox", ["new_gox.pyx"], include_dirs=[np.get_include()]) ] ) </code></pre> <p>The dtype <code>i4</code> is a 32 bit integer. It's equivalent to <code>np.int32</code>.</p> <p>I'm not sure what's going on with the 'too many arguments' errors. If you're calling that function from within Python, it needs to be declared as either <code>def</code> or <code>cpdef</code>. Functions declared with <code>cdef</code> can only be called from Cython. This is described <a href="http://docs.cython.org/src/userguide/language_basics.html#python-functions-vs-c-functions" rel="noreferrer">here</a> in the Cython docs.</p>
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