File: binary_search.py

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# Offers example of inline C for binary search algorithm.
# Borrowed from Kalle Svensson in the Python Cookbook.
# The results are nearly in the "not worth it" category.
#
# C:\home\ej\wrk\scipy\compiler\examples>python binary_search.py
# Binary search for 3000 items in 100000 length list of integers:
#  speed in python: 0.139999985695
#  speed in c: 0.0900000333786
#  speed up: 1.41
# search(a,3450) 3450 3450
# search(a,-1) -1 -1
# search(a,10001) 10001 10001
#
# Note -- really need to differentiate between conversion errors and
# run time errors.  This would reduce useless compiles and provide a
# more intelligent control of things.
from __future__ import absolute_import, print_function

import sys
sys.path.insert(0,'..')
# from compiler import inline_tools
import scipy.weave.inline_tools as inline_tools
from bisect import bisect_left as bisect
import types


def c_int_search(seq,t,chk=1):
    # do partial type checking in Python.
    # checking that list items are ints should happen in py_to_scalar<int>
    # if chk:
    #    assert(type(t) is int)
    #    assert(type(seq) is list)
    code = """
           #line 33 "binary_search.py"
           if (!PyList_Check(py_seq))
               py::fail(PyExc_TypeError, "seq must be a list");
           if (!PyInt_Check(py_t))
               py::fail(PyExc_TypeError, "t must be an integer");
           int val, m, min = 0;
           int max = seq.len()- 1;
           for(;;)
           {
               if (max < min )
               {
                   return_val = -1;
                   break;
               }
               m = (min + max) / 2;
               val = py_to_int(PyList_GET_ITEM(py_seq,m),"val");
               if (val < t)
                   min = m + 1;
               else if (val > t)
                   max = m - 1;
               else
               {
                   return_val = m;
                   break;
               }
           }
           """
    # return inline_tools.inline(code,['seq','t'],compiler='msvc')
    return inline_tools.inline(code,['seq','t'],verbose=2)


def c_int_search_scxx(seq,t,chk=1):
    # do partial type checking in Python.
    # checking that list items are ints should happen in py_to_scalar<int>
    if chk:
        assert(type(t) is int)
        assert(type(seq) is list)
    code = """
           #line 67 "binary_search.py"
           int val, m, min = 0;
           int max = seq.len()- 1;
           for(;;)
           {
               if (max < min )
               {
                   return_val = -1;
                   break;
               }
               m = (min + max) / 2;
               val = seq[m];
               if (val < t)
                   min = m + 1;
               else if (val > t)
                   max = m - 1;
               else
               {
                   return_val = m;
                   break;
               }
           }
           """
    # return inline_tools.inline(code,['seq','t'],compiler='msvc')
    return inline_tools.inline(code,['seq','t'],verbose=2)

try:
    from numpy import *

    def c_array_int_search(seq,t):
        code = """
               #line 62 "binary_search.py"
               int val, m, min = 0;
               int max = Nseq[0] - 1;
               PyObject *py_val;
               for(;;)
               {
                   if (max < min )
                   {
                       return_val = -1;
                       break;
                   }
                   m = (min + max) / 2;
                   val = seq[m];
                   if (val < t)
                       min = m + 1;
                   else if (val > t)
                       max = m - 1;
                   else
                   {
                       return_val = m;
                       break;
                   }
               }
               """
        # return inline_tools.inline(code,['seq','t'],compiler='msvc')
        return inline_tools.inline(code,['seq','t'],verbose=2,
                                   extra_compile_args=['-O2','-G6'])
except:
    pass


def py_int_search(seq, t):
    min = 0
    max = len(seq) - 1
    while 1:
        if max < min:
            return -1
        m = (min + max) / 2
        if seq[m] < t:
            min = m + 1
        elif seq[m] > t:
            max = m - 1
        else:
            return m

import time


def search_compare(a,n):
    print('Binary search for %d items in %d length list of integers:' % (n,m))
    t1 = time.time()
    for i in range(n):
        py_int_search(a,i)
    t2 = time.time()
    py = (t2-t1)
    print(' speed in python:', (t2 - t1))

    # bisect
    t1 = time.time()
    for i in range(n):
        bisect(a,i)
    t2 = time.time()
    bi = (t2-t1) + 1e-20  # protect against div by zero
    print(' speed of bisect:', bi)
    print(' speed up: %3.2f' % (py/bi))

    # get it in cache
    c_int_search(a,i)
    t1 = time.time()
    for i in range(n):
        c_int_search(a,i,chk=1)
    t2 = time.time()
    sp = (t2-t1)+1e-20  # protect against div by zero
    print(' speed in c:',sp)
    print(' speed up: %3.2f' % (py/sp))

    # get it in cache
    c_int_search(a,i)
    t1 = time.time()
    for i in range(n):
        c_int_search(a,i,chk=0)
    t2 = time.time()
    sp = (t2-t1)+1e-20  # protect against div by zero
    print(' speed in c(no asserts):',sp)
    print(' speed up: %3.2f' % (py/sp))

    # get it in cache
    c_int_search_scxx(a,i)
    t1 = time.time()
    for i in range(n):
        c_int_search_scxx(a,i,chk=1)
    t2 = time.time()
    sp = (t2-t1)+1e-20  # protect against div by zero
    print(' speed for scxx:',sp)
    print(' speed up: %3.2f' % (py/sp))

    # get it in cache
    c_int_search_scxx(a,i)
    t1 = time.time()
    for i in range(n):
        c_int_search_scxx(a,i,chk=0)
    t2 = time.time()
    sp = (t2-t1)+1e-20  # protect against div by zero
    print(' speed for scxx(no asserts):',sp)
    print(' speed up: %3.2f' % (py/sp))

    # get it in cache
    a = array(a)
    try:
        a = array(a)
        c_array_int_search(a,i)
        t1 = time.time()
        for i in range(n):
            c_array_int_search(a,i)
        t2 = time.time()
        sp = (t2-t1)+1e-20  # protect against div by zero
        print(' speed in c(numpy arrays):',sp)
        print(' speed up: %3.2f' % (py/sp))
    except:
        pass

if __name__ == "__main__":
    # note bisect returns index+1 compared to other algorithms
    m = 100000
    a = range(m)
    n = 50000
    search_compare(a,n)
    print('search(a,3450)', c_int_search(a,3450), py_int_search(a,3450), bisect(a,3450))
    print('search(a,-1)', c_int_search(a,-1), py_int_search(a,-1), bisect(a,-1))
    print('search(a,10001)', c_int_search(a,10001), py_int_search(a,10001),bisect(a,10001))