Difference between revisions of "CSC111 Homework 12 2015"

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Line 2: Line 2:
 
----
 
----
  
 +
<br />
 +
<showafterdate after="20150422 14:00" before="20150601 00:00">
 +
<bluebox>
 +
This homework is optional.  If you skip it, you will not be penalized.  If you work on it and submit it, however, the grade you will get for  will replace the lowest grade you will have obtained on any of the previous homework assignments.  So, if you were not able to submit Homework 5, for example, then the grade for Homework 12 will become the grade for Homework 5.
 +
<br />
 +
The rule of dropping the lowest homework of the semester still holds.  Once the grade for Homework 12 is plugged into your past homework grades, I will drop the lowest of the whole semester.  This will not be apparent in the grade-book on Moodle,  but will be done in an eXcel spreadsheet, once the semester is over.
 +
</bluebox>
 
<br />
 
<br />
 
=Problem #1=
 
=Problem #1=
 
<br />
 
<br />
−
Write a program called '''hw12_1.py''' that contains a '''recursive''' function called '''minmax()''' which returns the smallest and largest ''elements''  of a list of ''items''.  The items may be strings, numbers, or tuples, where the first element of the tuple is either a number or a string.
+
Write a program called '''hw12_1.py''' that contains a '''recursive''' function called '''smallestLargest()''' which returns the smallest and largest ''elements''  of a list of ''integers''.
  
 
Example '''main()''' program:
 
Example '''main()''' program:
Line 11: Line 18:
 
<br />
 
<br />
 
::<source lang="python">
 
::<source lang="python">
 +
"""
 +
hw12_1.py
 +
yourname
 +
 +
This program prompts the user for a number of random integers that
 +
should be generated and stored in a list, and then calls the recursive
 +
function smallestLargest() on this list.  The recursive function finds the
 +
smallest and largest items and returns both.
 +
"""
 +
import random
 +
 +
# your recursive function goes here...
  
−
def main():
 
−
    A = [ 1, 10, 20, 3, 2, -1, -10, 5, 5, 5, 5 ]
 
−
    low, high = minmax( A )
 
−
    print( "smallest item =", low, " largest item = ", high )
 
−
    # will print
 
−
    # smallest item = -10 largest item = 20
 
  
−
    A = [ 1 ]
+
def generateAListOfRandomInts( ):
−
    low, high = minmax( A )
+
    """prompts the user for a number of  items, and creates a list
−
    print( "smallest item =", low, " largest item = ", high )
+
    with that many random integers.  Returns the list.
−
    # will print
+
    """
−
    # smallest item = 1 largest item = 1
+
 
 +
    # sets the seed to 1. Do not change this line!!!
 +
    random.seed( 1 )
 +
 
 +
    # get a number from the user
 +
    n = int( input( "How many random numbers in the list? ") )
 +
 
 +
    # create a list with n random ints between 0 and 30.
 +
    A = []
 +
    for i in range( n ):
 +
        A.append( random.randint(0, 30) )
 +
    return A
 +
 
 
   
 
   
−
    A = [ ]
+
def main():
−
    low, high = minmax( A )
+
     # generate the list of random ints
−
    print( "smallest item =", low, " largest item = ", high )
+
     A = generateAListOfRandomInts()
−
     # will print
 
−
     # smallest item = None largest item = None
 
  
−
     A = [ "alpha", "beta", "gamma", "epsilon" ]
+
     # find the smallest and largest items in the list.
−
     low, high = minmax( A )
+
     low, high = smallestLargest( A )
 
     print( "smallest item =", low, " largest item = ", high )
 
     print( "smallest item =", low, " largest item = ", high )
 
     # will print
 
     # will print
−
     # smallest item = alpha largest item = gamma
+
     # smallest item = -10 largest item = 20
  
 
if __name__=="__main__":
 
if __name__=="__main__":
Line 44: Line 67:
 
==Requirements==
 
==Requirements==
 
<br />
 
<br />
−
# The function '''minmax()''' must be recursive.
+
# The function '''smallestLargest()''' must be recursive.
 
# You cannot use the min() or max() standard Python functions.  If you want to find the largest of two items, you need to do the comparison in Python, using &lt;, &lt;=, &gt;, or &gt;=.
 
# You cannot use the min() or max() standard Python functions.  If you want to find the largest of two items, you need to do the comparison in Python, using &lt;, &lt;=, &gt;, or &gt;=.
 
<br />
 
<br />
Line 52: Line 75:
 
<br />
 
<br />
 
=Problem #2=
 
=Problem #2=
 +
<br />
 +
Write a Python program called '''hw12_2.py''' that generates, recursively a tree with fruit, ''as close to the tree shown below'' as possible.  You should not reproduce the text in the image;  '''just the tree, its colors, and its fruit.'''
 
<br />
 
<br />
−
Write a Python program called '''hw12_2.py''' that will generate a tree ''as close to the tree shown below'' as possible.  You should not reproduce the text in the image;  '''just the tree, its colors, and its fruit.'''
 
 
<br />
 
<br />
 +
<center>[[Image:FractalTreeHw12.png| 500px]]</center>
 
<br />
 
<br />
−
<center>[[Image:FractalTreeHw12.png| 500px]]</center>
+
==Requirements==
 +
<br />
 +
* The oranges have a radius of 20.  They '''must''' be generated inside the recursive function.  As a result some of the branches will appear in front, some below the oranges.
 +
* The branches must have different colors, and not be all drawn with the same color.
 
<br />
 
<br />
 +
==Submission==
 
<br />
 
<br />
 
* Submit your program as well as a screen capture of its output to Moodle, in the '''HW12 PB2''' and '''HW12 Image 2''' sections.
 
* Submit your program as well as a screen capture of its output to Moodle, in the '''HW12 PB2''' and '''HW12 Image 2''' sections.
Line 63: Line 92:
 
* I used only 3 colors to generate the tree above: "orange", "blue", and "brown".
 
* I used only 3 colors to generate the tree above: "orange", "blue", and "brown".
 
<br />
 
<br />
 +
</showafterdate>
 +
<br />
 +
<!-- ====================================================================== -->
 +
<!-- ====================================================================== -->
 +
<!-- ====================================================================== -->
 +
<!-- ====================================================================== -->
 
<br />
 
<br />
−
<showafterdate after="20150422 14:00" before="20150601 00:00">
+
<showafterdate after="20150429 00:00" before="20150601 00:00">
 
<br />
 
<br />
 
=Solution Programs=
 
=Solution Programs=
Line 216: Line 251:
 
</showafterdate>
 
</showafterdate>
 
<br />
 
<br />
 +
<!-- ====================================================================== -->
 +
<!-- ====================================================================== -->
 +
<br />
 +
<onlydft>
 +
=VPL: Problem 1=
 +
==vpl_run.sh==
 +
<br />
 +
<source lang="bash">
 +
#! /bin/bash
 +
 +
cat  > vpl_execution <<EOF
 +
#! /bin/bash
 +
 +
# --- Python ----
 +
if [[ `hostname -s` = "beowulf2" ]]; then
 +
  python=/usr/bin/python3.3
 +
else
 +
  python=/usr/local/bin/python3.4
 +
fi
 +
 +
 +
 +
\$python evaluate.py
 +
 +
EOF
 +
 +
chmod +x vpl_execution
 +
 +
 +
</source>
 +
<br />
 +
==vpl_debug.sh==
 +
<br />
 +
<source lang="bash">
 +
</source>
 +
<br />
 +
==vpl_evaluate.sh==
 +
<br />
 +
<source lang="bash">
 +
#! /bin/bash
 +
 +
cat  > vpl_execution <<EOF
 +
#! /bin/bash
 +
 +
# --- Python ----
 +
if [[ `hostname -s` = "beowulf2" ]]; then
 +
  python=/usr/bin/python3.3
 +
else
 +
  python=/usr/local/bin/python3.4
 +
fi
 +
 +
 +
 +
\$python evaluate.py
 +
 +
EOF
 +
 +
chmod +x vpl_execution
 +
 +
 +
</source>
 +
<br />
 +
==vpl_evaluate.cases==
 +
<br />
 +
<source lang="text">
 +
</source>
 +
<br />
 +
==pyminifier.py==
 +
<br />
 +
<source lang="python">
 +
#!/usr/bin/env python
 +
# -*- coding: utf-8 -*-
 +
#
 +
#      pyminifier.py
 +
#
 +
#      Copyright 2009 Dan McDougall <YouKnowWho@YouKnowWhat.com>
 +
#
 +
#      This program is free software; you can redistribute it and/or modify
 +
#      it under the terms of the GNU General Public License as published by
 +
#      the Free Software Foundation; Version 3 of the License
 +
#
 +
#      This program is distributed in the hope that it will be useful,
 +
#      but WITHOUT ANY WARRANTY; without even the implied warranty of
 +
#      MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 +
#      GNU General Public License for more details.
 +
#
 +
#      You should have received a copy of the GNU General Public License
 +
#      along with this program; if not, the license can be downloaded here:
 +
#
 +
#      http://www.gnu.org/licenses/gpl.html
 +
 +
# Meta
 +
__version__ = '1.4.1'
 +
__license__ = "GNU General Public License (GPL) Version 3"
 +
__version_info__ = (1, 4, 1)
 +
__author__ = 'Dan McDougall <YouKnowWho@YouKnowWhat.com>'
 +
 +
"""
 +
**Python Minifier:**  Reduces the size of (minifies) Python code for use on
 +
embedded platforms.
 +
 +
Performs the following:
 +
    - Removes docstrings.
 +
    - Removes comments.
 +
    - Minimizes code indentation.
 +
    - Joins multiline pairs of parentheses, braces, and brackets (and removes extraneous whitespace within).
 +
    - Preserves shebangs and encoding info (e.g. "# -- coding: utf-8 --").
 +
 +
Various examples and edge cases are sprinkled throughout the pyminifier code so
 +
that it can be tested by minifying itself.  The way to test is thus:
 +
 +
.. code-block:: bash
 +
 +
    $ python pyminifier.py pyminifier.py > minified_pyminifier.py
 +
    $ python minified_pyminifier.py pyminifier.py > this_should_be_identical.py
 +
    $ diff minified_pyminifier.py this_should_be_identical.py
 +
    $
 +
 +
If you get an error executing minified_pyminifier.py or
 +
'this_should_be_identical.py' isn't identical to minified_pyminifier.py then
 +
something is broken.
 +
"""
 +
 +
import sys, re, tokenize
 +
import io
 +
 +
from optparse import OptionParser
 +
 +
# Compile our regular expressions for speed
 +
multiline_quoted_string = re.compile(r'(\'\'\'|\"\"\")')
 +
not_quoted_string = re.compile(r'(\".*\'\'\'.*\"|\'.*\"\"\".*\')')
 +
trailing_newlines = re.compile(r'\n\n')
 +
shebang = re.compile('^#\!.*$')
 +
encoding = re.compile(".*coding[:=]\s*([-\w.]+)")
 +
multiline_indicator = re.compile('\\\\(\s*#.*)?\n')
 +
# The above also removes trailing comments: "test = 'blah \ # comment here"
 +
 +
# These aren't used but they're a pretty good reference:
 +
double_quoted_string = re.compile(r'((?<!\\)".*?(?<!\\)")')
 +
single_quoted_string = re.compile(r"((?<!\\)'.*?(?<!\\)')")
 +
single_line_single_quoted_string = re.compile(r"((?<!\\)'''.*?(?<!\\)''')")
 +
single_line_double_quoted_string = re.compile(r"((?<!\\)'''.*?(?<!\\)''')")
 +
 +
def remove_comments_and_docstrings(source):
 +
    """
 +
    Returns 'source' minus comments and docstrings.
 +
 +
    **Note**: Uses Python's built-in tokenize module to great effect.
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        def noop(): # This is a comment
 +
            '''
 +
            Does nothing.
 +
            '''
 +
            pass # Don't do anything
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        def noop():
 +
            pass
 +
    """
 +
    io_obj = io.StringIO(source)
 +
    out = ""
 +
    prev_toktype = tokenize.INDENT
 +
    last_lineno = -1
 +
    last_col = 0
 +
    for tok in tokenize.generate_tokens(io_obj.readline):
 +
        token_type = tok[0]
 +
        token_string = tok[1]
 +
        start_line, start_col = tok[2]
 +
        end_line, end_col = tok[3]
 +
        ltext = tok[4]
 +
        # The following two conditionals preserve indentation.
 +
        # This is necessary because we're not using tokenize.untokenize()
 +
        # (because it spits out code with copious amounts of oddly-placed
 +
        # whitespace).
 +
        if start_line > last_lineno:
 +
            last_col = 0
 +
        if start_col > last_col:
 +
            out += (" " * (start_col - last_col))
 +
        # Remove comments:
 +
        if token_type == tokenize.COMMENT:
 +
            pass
 +
        # This series of conditionals removes docstrings:
 +
        elif token_type == tokenize.STRING:
 +
            if prev_toktype != tokenize.INDENT:
 +
        # This is likely a docstring; double-check we're not inside an operator:
 +
                if prev_toktype != tokenize.NEWLINE:
 +
                    # Note regarding NEWLINE vs NL: The tokenize module
 +
                    # differentiates between newlines that start a new statement
 +
                    # and newlines inside of operators such as parens, brackes,
 +
                    # and curly braces.  Newlines inside of operators are
 +
                    # NEWLINE and newlines that start new code are NL.
 +
                    # Catch whole-module docstrings:
 +
                    if start_col > 0:
 +
                        # Unlabelled indentation means we're inside an operator
 +
                        out += token_string
 +
                    # Note regarding the INDENT token: The tokenize module does
 +
                    # not label indentation inside of an operator (parens,
 +
                    # brackets, and curly braces) as actual indentation.
 +
                    # For example:
 +
                    # def foo():
 +
                    #    "The spaces before this docstring are tokenize.INDENT"
 +
                    #    test = [
 +
                    #        "The spaces before this string do not get a token"
 +
                    #    ]
 +
        else:
 +
            out += token_string
 +
        prev_toktype = token_type
 +
        last_col = end_col
 +
        last_lineno = end_line
 +
    return out
 +
 +
def reduce_operators(source):
 +
    """
 +
    Remove spaces between operators in 'source' and returns the result.
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        def foo(foo, bar, blah):
 +
            test = "This is a %s" % foo
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        def foo(foo,bar,blah):
 +
            test="This is a %s"%foo
 +
    """
 +
    io_obj = io.StringIO(source)
 +
    remove_columns = []
 +
    out = ""
 +
    out_line = ""
 +
    prev_toktype = tokenize.INDENT
 +
    prev_tok = None
 +
    last_lineno = -1
 +
    last_col = 0
 +
    lshift = 1
 +
    for tok in tokenize.generate_tokens(io_obj.readline):
 +
        token_type = tok[0]
 +
        token_string = tok[1]
 +
        start_line, start_col = tok[2]
 +
        end_line, end_col = tok[3]
 +
        ltext = tok[4]
 +
        if start_line > last_lineno:
 +
            last_col = 0
 +
        if start_col > last_col:
 +
            out_line += (" " * (start_col - last_col))
 +
        if token_type == tokenize.OP:
 +
            # Operators that begin a line such as @ or open parens should be
 +
            # left alone
 +
            start_of_line_types = [ # These indicate we're starting a new line
 +
                tokenize.NEWLINE, tokenize.DEDENT, tokenize.INDENT]
 +
            if prev_toktype not in start_of_line_types:
 +
                # This is just a regular operator; remove spaces
 +
                remove_columns.append(start_col) # Before OP
 +
                remove_columns.append(end_col+1) # After OP
 +
        if token_string.endswith('\n'):
 +
            out_line += token_string
 +
            if remove_columns:
 +
                for col in remove_columns:
 +
                    col = col - lshift
 +
                    try:
 +
            # This was really handy for debugging (looks nice, worth saving):
 +
                        #print out_line + (" " * col) + "^"
 +
                        # The above points to the character we're looking at
 +
                        if out_line[col] == " ": # Only if it is a space
 +
                            out_line = out_line[:col] + out_line[col+1:]
 +
                            lshift += 1 # To re-align future changes on this line
 +
                    except IndexError: # Reached and end of line, no biggie
 +
                        pass
 +
            out += out_line
 +
            remove_columns = []
 +
            out_line = ""
 +
            lshift = 1
 +
        else:
 +
            out_line += token_string
 +
        prev_toktype = token_type
 +
        prev_token = tok
 +
        last_col = end_col
 +
        last_lineno = end_line
 +
    # This makes sure to capture the last line if it doesn't end in a newline:
 +
    out += out_line
 +
    # The tokenize module doesn't recognize @ sign before a decorator
 +
    return out
 +
 +
# NOTE: This isn't used anymore...  Just here for reference in case someone
 +
# searches the internet looking for a way to remove similarly-styled end-of-line
 +
# comments from non-python code.  It also acts as an edge case of sorts with
 +
# that raw triple quoted string inside the "quoted_string" assignment.
 +
def remove_comment(single_line):
 +
    """
 +
    Removes the comment at the end of the line (if any) and returns the result.
 +
    """
 +
    quoted_string = re.compile(
 +
        r'''((?<!\\)".*?(?<!\\)")|((?<!\\)'.*?(?<!\\)')'''
 +
    )
 +
    # This divides the line up into sections:
 +
    #  Those inside single quotes and those that are not
 +
    split_line = quoted_string.split(single_line)
 +
    # Remove empty items:
 +
    split_line = [a for a in split_line if a]
 +
    out_line = ""
 +
    for section in split_line:
 +
        if section.startswith("'") or section.startswith('"'):
 +
            # This is a quoted string; leave it alone
 +
            out_line += section
 +
        elif '#' in section: # A '#' not in quotes?  There's a comment here!
 +
            # Get rid of everything after the # including the # itself:
 +
            out_line += section.split('#')[0]
 +
            break # No reason to bother the rest--it's all comments
 +
        else:
 +
            # This isn't a quoted string OR a comment; leave it as-is
 +
            out_line += section
 +
    return out_line.rstrip() # Strip trailing whitespace before returning
 +
 +
def join_multiline_pairs(text, pair="()"):
 +
    """
 +
    Finds and removes newlines in multiline matching pairs of characters in
 +
    'text'.  For example, "(.*\n.*), {.*\n.*}, or [.*\n.*]".
 +
 +
    By default it joins parens () but it will join any two characters given via
 +
    the 'pair' variable.
 +
 +
    **Note:** Doesn't remove extraneous whitespace that ends up between the pair.
 +
    Use reduce_operators() for that.
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        test = (
 +
            "This is inside a multi-line pair of parentheses"
 +
        )
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        test = (            "This is inside a multi-line pair of parentheses"        )
 +
    """
 +
    # Readability variables
 +
    opener = pair[0]
 +
    closer = pair[1]
 +
 +
    # Tracking variables
 +
    inside_pair = False
 +
    inside_quotes = False
 +
    inside_double_quotes = False
 +
    inside_single_quotes = False
 +
    quoted_string = False
 +
    openers = 0
 +
    closers = 0
 +
    linecount = 0
 +
 +
    # Regular expressions
 +
    opener_regex = re.compile('\%s' % opener)
 +
    closer_regex = re.compile('\%s' % closer)
 +
 +
    output = ""
 +
 +
    for line in text.split('\n'):
 +
        escaped = False
 +
        # First we rule out multi-line strings
 +
        multline_match = multiline_quoted_string.search(line)
 +
        not_quoted_string_match = not_quoted_string.search(line)
 +
        if multline_match and not not_quoted_string_match and not quoted_string:
 +
            if len(line.split('"""')) > 1 or len(line.split("'''")):
 +
                # This is a single line that uses the triple quotes twice
 +
                # Treat it as if it were just a regular line:
 +
                output += line + '\n'
 +
                quoted_string = False
 +
            else:
 +
                output += line + '\n'
 +
                quoted_string = True
 +
        elif quoted_string and multiline_quoted_string.search(line):
 +
            output += line + '\n'
 +
            quoted_string = False
 +
        # Now let's focus on the lines containing our opener and/or closer:
 +
        elif not quoted_string:
 +
            if opener_regex.search(line) or closer_regex.search(line) or inside_pair:
 +
                for character in line:
 +
                    if character == opener:
 +
                        if not escaped and not inside_quotes:
 +
                            openers += 1
 +
                            inside_pair = True
 +
                            output += character
 +
                        else:
 +
                            escaped = False
 +
                            output += character
 +
                    elif character == closer:
 +
                        if not escaped and not inside_quotes:
 +
                            if openers and openers == (closers + 1):
 +
                                closers = 0
 +
                                openers = 0
 +
                                inside_pair = False
 +
                                output += character
 +
                            else:
 +
                                closers += 1
 +
                                output += character
 +
                        else:
 +
                            escaped = False
 +
                            output += character
 +
                    elif character == '\\':
 +
                        if escaped:
 +
                            escaped = False
 +
                            output += character
 +
                        else:
 +
                            escaped = True
 +
                            output += character
 +
                    elif character == '"' and escaped:
 +
                        output += character
 +
                        escaped = False
 +
                    elif character == "'" and escaped:
 +
                        output += character
 +
                        escaped = False
 +
                    elif character == '"' and inside_quotes:
 +
                        if inside_single_quotes:
 +
                            output += character
 +
                        else:
 +
                            inside_quotes = False
 +
                            inside_double_quotes = False
 +
                            output += character
 +
                    elif character == "'" and inside_quotes:
 +
                        if inside_double_quotes:
 +
                            output += character
 +
                        else:
 +
                            inside_quotes = False
 +
                            inside_single_quotes = False
 +
                            output += character
 +
                    elif character == '"' and not inside_quotes:
 +
                        inside_quotes = True
 +
                        inside_double_quotes = True
 +
                        output += character
 +
                    elif character == "'" and not inside_quotes:
 +
                        inside_quotes = True
 +
                        inside_single_quotes = True
 +
                        output += character
 +
                    elif character == ' ' and inside_pair and not inside_quotes:
 +
                        if not output[-1] in [' ', opener]:
 +
                            output += ' '
 +
                    else:
 +
                        if escaped:
 +
                            escaped = False
 +
                        output += character
 +
                if inside_pair == False:
 +
                    output += '\n'
 +
            else:
 +
                output += line + '\n'
 +
        else:
 +
            output += line + '\n'
 +
 +
    # Clean up
 +
    output = trailing_newlines.sub('\n', output)
 +
 +
    return output
 +
 +
def dedent(source):
 +
    """
 +
    Minimizes indentation to save precious bytes
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        def foo(bar):
 +
            test = "This is a test"
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        def foo(bar):
 +
        test = "This is a test"
 +
    """
 +
    io_obj = io.StringIO(source)
 +
    out = ""
 +
    last_lineno = -1
 +
    last_col = 0
 +
    prev_start_line = 0
 +
    indentation = ""
 +
    indentation_level = 0
 +
    for i,tok in enumerate(tokenize.generate_tokens(io_obj.readline)):
 +
        token_type = tok[0]
 +
        token_string = tok[1]
 +
        start_line, start_col = tok[2]
 +
        end_line, end_col = tok[3]
 +
        if start_line > last_lineno:
 +
            last_col = 0
 +
        if token_type == tokenize.INDENT:
 +
            indentation_level += 1
 +
            continue
 +
        if token_type == tokenize.DEDENT:
 +
            indentation_level -= 1
 +
            continue
 +
        indentation = " " * indentation_level
 +
        if start_line > prev_start_line:
 +
            out += indentation + token_string
 +
        elif start_col > last_col:
 +
            out += " " + token_string
 +
        else:
 +
            out += token_string
 +
        prev_start_line = start_line
 +
        last_col = end_col
 +
        last_lineno = end_line
 +
    return out
 +
 +
def fix_empty_methods(source):
 +
    """
 +
    Appends 'pass' to empty methods/functions (i.e. where there was nothing but
 +
    a docstring before we removed it =).
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        # Note: This triple-single-quote inside a triple-double-quote is also a
 +
        # pyminifier self-test
 +
        def myfunc():
 +
            '''This is just a placeholder function.'''
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        def myfunc(): pass
 +
    """
 +
    def_indentation_level = 0
 +
    output = ""
 +
    just_matched = False
 +
    previous_line = None
 +
    method = re.compile(r'^\s*def\s*.*\(.*\):.*$')
 +
    for line in source.split('\n'):
 +
        if len(line.strip()) > 0: # Don't look at blank lines
 +
            if just_matched == True:
 +
                this_indentation_level = len(line.rstrip()) - len(line.strip())
 +
                if def_indentation_level == this_indentation_level:
 +
                    # This method is empty, insert a 'pass' statement
 +
                    output += "%s pass\n%s\n" % (previous_line, line)
 +
                else:
 +
                    output += "%s\n%s\n" % (previous_line, line)
 +
                just_matched = False
 +
            elif method.match(line):
 +
                def_indentation_level = len(line) - len(line.strip()) # A commment
 +
                just_matched = True
 +
                previous_line = line
 +
            else:
 +
                output += "%s\n" % line # Another self-test
 +
        else:
 +
            output += "\n"
 +
    return output
 +
 +
def remove_blank_lines(source):
 +
    """
 +
    Removes blank lines from 'source' and returns the result.
 +
 +
    Example:
 +
 +
    .. code-block:: python
 +
 +
        test = "foo"
 +
 +
        test2 = "bar"
 +
 +
    Will become:
 +
 +
    .. code-block:: python
 +
 +
        test = "foo"
 +
        test2 = "bar"
 +
    """
 +
    io_obj = io.StringIO(source)
 +
    source = [a for a in io_obj.readlines() if a.strip()]
 +
    return "".join(source)
 +
 +
def minify(source):
 +
    """
 +
    Remove all docstrings, comments, blank lines, and minimize code
 +
    indentation from 'source' then prints the result.
 +
    """
 +
    preserved_shebang = None
 +
    preserved_encoding = None
 +
 +
    # This is for things like shebangs that must be precisely preserved
 +
    for line in source.split('\n')[0:2]:
 +
        # Save the first comment line if it starts with a shebang
 +
        # (e.g. '#!/usr/bin/env python') <--also a self test!
 +
        if shebang.match(line): # Must be first line
 +
            preserved_shebang = line
 +
            continue
 +
        # Save the encoding string (must be first or second line in file)
 +
        if encoding.match(line):
 +
            preserved_encoding = line
 +
 +
    # Remove multilines (e.g. lines that end with '\' followed by a newline)
 +
    source = multiline_indicator.sub('', source)
 +
 +
    # Remove docstrings (Note: Must run before fix_empty_methods())
 +
    source = remove_comments_and_docstrings(source)
 +
 +
    # Remove empty (i.e. single line) methods/functions
 +
    source = fix_empty_methods(source)
 +
 +
    # Join multiline pairs of parens, brackets, and braces
 +
    source = join_multiline_pairs(source)
 +
    source = join_multiline_pairs(source, '[]')
 +
    source = join_multiline_pairs(source, '{}')
 +
 +
    # Remove whitespace between operators:
 +
    source = reduce_operators(source)
 +
 +
    # Minimize indentation
 +
    source = dedent(source)
 +
 +
    # Re-add preseved items
 +
    if preserved_encoding:
 +
        source = preserved_encoding + "\n" + source
 +
    if preserved_shebang:
 +
        source = preserved_shebang + "\n" + source
 +
 +
    # Remove blank lines
 +
    source = remove_blank_lines(source).rstrip('\n') # Stubborn last newline
 +
 +
    return source
 +
 +
def bz2_pack(source):
 +
    "Returns 'source' as a bzip2-compressed, self-extracting python script."
 +
    import bz2, base64
 +
    out = ""
 +
    compressed_source = bz2.compress(source)
 +
    out += 'import bz2, base64\n'
 +
    out += "exec bz2.decompress(base64.b64decode('"
 +
    out += base64.b64encode((compressed_source))
 +
    out += "'))\n"
 +
    return out
 +
 +
def gz_pack(source):
 +
    "Returns 'source' as a gzip-compressed, self-extracting python script."
 +
    import zlib, base64
 +
    out = ""
 +
    compressed_source = zlib.compress(source)
 +
    out += 'import zlib, base64\n'
 +
    out += "exec zlib.decompress(base64.b64decode('"
 +
    out += base64.b64encode((compressed_source))
 +
    out += "'))\n"
 +
    return out
 +
 +
# The test.+() functions below are for testing pyminifer...
 +
def test_decorator(f):
 +
    """Decorator that does nothing"""
 +
    return f
 +
 +
def test_reduce_operators():
 +
    """Test the case where an operator such as an open paren starts a line"""
 +
    (a, b) = 1, 2 # The indentation level should be preserved
 +
    pass
 +
 +
def test_empty_functions():
 +
    """
 +
    This is a test method.
 +
    This should be replaced with 'def empty_method: pass'
 +
    """
 +
 +
class test_class(object):
 +
    "Testing indented decorators"
 +
 +
    @test_decorator
 +
    def foo(self):
 +
        pass
 +
 +
def test_function():
 +
    """
 +
    This function encapsulates the edge cases to prevent them from invading the
 +
    global namespace.
 +
    """
 +
    foo = ("The # character in this string should " # This comment
 +
          "not result in a syntax error") # ...and this one should go away
 +
    test_multi_line_list = [
 +
        'item1',
 +
        'item2',
 +
        'item3'
 +
    ]
 +
    test_multi_line_dict = {
 +
        'item1': 1,
 +
        'item2': 2,
 +
        'item3': 3
 +
    }
 +
    # It may seem strange but the code below tests our docstring removal code.
 +
    test_string_inside_operators = imaginary_function(
 +
        "This string was indented but the tokenizer won't see it that way."
 +
    ) # To understand how this could mess up docstring removal code see the
 +
      # remove_comments_and_docstrings() function starting at this line:
 +
      #    "elif token_type == tokenize.STRING:"
 +
    # This tests remove_extraneous_spaces():
 +
    this_line_has_leading_indentation    = '''<--That extraneous space should be
 +
                                              removed''' # But not these spaces
 +
 +
def removeComments( source ):
 +
    return minify(source)
 +
 +
def main():
 +
    usage = '%prog [options] "<input file>"'
 +
    parser = OptionParser(usage=usage, version=__version__)
 +
    parser.disable_interspersed_args()
 +
    parser.add_option(
 +
        "-o", "--outfile",
 +
        dest="outfile",
 +
        default=None,
 +
        help="Save output to the given file.",
 +
        metavar="<file path>"
 +
    )
 +
    parser.add_option(
 +
        "--bzip2",
 +
        action="store_true",
 +
        dest="bzip2",
 +
        default=False,
 +
        help="bzip2-compress the result into a self-executing python script."
 +
    )
 +
    parser.add_option(
 +
        "--gzip",
 +
        action="store_true",
 +
        dest="gzip",
 +
        default=False,
 +
        help="gzip-compress the result into a self-executing python script."
 +
    )
 +
    options, args = parser.parse_args()
 +
    try:
 +
        source = open(args[0]).read()
 +
    except:
 +
        parser.print_help()
 +
        sys.exit(2)
 +
 +
    # Minify our input script
 +
    result = minify(source)
 +
    # Compress it if we were asked to do so
 +
    if options.bzip2:
 +
        result = bz2_pack(result)
 +
    elif options.gzip:
 +
        result = gz_pack(result)
 +
    # Either save the result to the output file or print it to stdout
 +
    if options.outfile:
 +
        f = open(options.outfile, 'w')
 +
        f.write(result)
 +
        f.close()
 +
    else:
 +
        print( result )
 +
 +
if __name__ == "__main__":
 +
    #main()
 +
    source = open( "hw10Test.py", "r" ).read()
 +
    print( "="*80 )
 +
    print( removeComments( source ) )
 +
    print( "="*80 )
 +
 +
 +
 +
 +
 +
</source>
 +
<br />
 +
==evaluate.py==
 +
<br />
 +
<source lang="python">
 +
# evaluate.py
 +
# D. Thiebaut
 +
# This program is used to test a student's python program on Moodle.
 +
 +
import sys
 +
import random
 +
import subprocess
 +
import pyminifier
 +
 +
#--- GLOBALS ---
 +
#--- define what the student program is called, and what the solution
 +
#--- program name is.
 +
 +
debug  = False #True
 +
studentModule = "hw12_1"
 +
module = "testHw12_1"
 +
solutionModule = "hw12_1sol"
 +
userOutSplitPattern = ""      # pattern used to start recording the user
 +
                              # output.  Useful when program does several
 +
                              # input() statements, and user output starts
 +
                              # after that.
 +
stripOutputsBeforeCompare = True
 +
                              # set to True if extra spaces at beginning or
 +
                              # end of user output is ok
 +
 +
interpreter = sys.executable
 +
 +
def commentLong( line ):
 +
    print( "<|--\n" + line  + "\n --|>" )
 +
 +
def commentShort( text ):
 +
    print( "Comment :=>> " + text )
 +
 +
def comment( text ):
 +
    commentShort( text )
 +
 +
def printGrade( grade ):
 +
    print( "Grade :=>> ", grade )
 +
 +
# remove if __name__==...
 +
def removeIfNameEqMain( fileName ):
 +
    file = open( fileName, "r" )
 +
    lines = file.read()
 +
    file.close()
 +
 +
    newLines = ""
 +
    for line in lines.split( "\n" ):
 +
        if line.find( "__name__" )!=-1 and line.find( "__main__" )!=-1 and line.find( "if True" )==-1:
 +
            line = "if True: #" + line
 +
        newLines += line + "\n"
 +
 +
    # write it back
 +
    file = open( fileName, "w" )
 +
    file.write( newLines )
 +
    file.close()
 +
 +
# add if __name__=="__main__": to the program
 +
def addIfNameEqMain( fileName ):
 +
    file = open( fileName, "r" )
 +
    lines = file.read()
 +
    file.close()
 +
 +
    newLines = ""
 +
    for line in lines.split( "\n" ):
 +
        if line.find( "main()" )==0:
 +
            line = 'if __name__=="__main__":  main()'
 +
        newLines += line + "\n"
 +
 +
    # write it back
 +
    file = open( fileName, "w" )
 +
    file.write( newLines )
 +
    file.close()
 +
 +
def createEmptyFile( fileName ):
 +
    file = open( fileName, "w" )
 +
    file.write( "\n" )
 +
    file.close()
 +
 +
# generateInputFileWithRandomInputs
 +
# generate a file with name "inputFileName" with some random input
 +
# for the program.
 +
# MAKE SURE TO EDIT THIS TO MATCH THE PROGRAM BEING TESTED
 +
def generateTestModule( moduleName, i ):
 +
    #--- we don't need an input file for stdin, but we'll generate a
 +
    #--- dummy one nonetheless
 +
    code = """
 +
from hw12_1 import *
 +
 +
def main():
 +
    A = %s
 +
    low, high = smallestLargest( A )
 +
    print( low, high )
 +
 +
if __name__=="__main__":
 +
    main()
 +
"""
 +
    if debug: print( "generateTestModule(", moduleName, ", ", i ,")" )
 +
    if i==0:
 +
        s = "[1, -100, 200, 5, 0]"
 +
    if i==1:
 +
        s = "[100]"
 +
    if i==2:
 +
        s = "[]"
 +
    if i==3:
 +
        s = '[ "lucy", "marie", "joe", "larry"]'
 +
 +
    file = open( moduleName+".py", "w" )
 +
    file.write( code % s )
 +
    file.write( "\n" )
 +
    file.close()
 +
    return s
 +
 +
def generateSolutionModule( moduleName, i ):
 +
    #--- we don't need an input file for stdin, but we'll generate a
 +
    #--- dummy one nonetheless
 +
    code = """
 +
def smallestLargest( A ):
 +
    if len( A )==0:
 +
        return None, None
 +
 +
    if len( A )==1:
 +
        return A[0], A[0]
 +
 +
    theMin, theMax = smallestLargest( A[1: ] )
 +
 +
    if A[0] < theMin:
 +
        theMin = A[0]
 +
    if A[0] > theMax:
 +
        theMax = A[0]
 +
 +
    return theMin, theMax
 +
 +
def main():
 +
    A = %s
 +
    low, high = smallestLargest( A )
 +
    print( low, high )
 +
 +
if __name__=="__main__":
 +
    main()
 +
"""
 +
    if i==0:
 +
        s = "[1, -100, 200, 5, 0]"
 +
    if i==1:
 +
        s = "[100]"
 +
    if i==2:
 +
        s = "[]"
 +
    if i==3:
 +
        s = '[ "lucy", "marie", "joe", "larry"]'
 +
 +
    file = open( moduleName+".py", "w" )
 +
    file.write( code % s )
 +
    file.write( "\n" )
 +
    file.close()
 +
    return s
 +
 +
# checkForFunctionPresence
 +
# checks that "functionName" is defined and called in the program.
 +
# MAKE SURE TO EDIT TO MATCH PROGRAM BEING TESTED
 +
def checkForFunctionPresence( module, functionName ):
 +
    foundDef = False
 +
    foundCall = False
 +
 +
    for line in open( module+".py", "r" ).readlines():
 +
        # remove comments
 +
        idx = line.find( "#" )
 +
        if ( idx >=0 ): line = line[0:idx]
 +
 +
        if line.startswith( "def " + functionName + "(" ):
 +
            foundDef = True
 +
            continue
 +
        if line.startswith( "def " + functionName + " (" ):
 +
            foundDef = True
 +
            continue
 +
        if line.find( functionName+"(" ) != -1:
 +
            foundCall = True
 +
            continue
 +
 +
    return (foundDef, foundCall)
 +
 +
 +
 +
# ==================================================================
 +
# NO EDITS NEEDED BELOW!
 +
# ==================================================================
 +
 +
def clearLog():
 +
    open( "log.txt", "w" ).write( "" )
 +
 +
def log( message ):
 +
    file = open( "log.txt", "a" )
 +
    file.write( message + "\n" )
 +
    file.flush()
 +
    file.close()
 +
 +
 +
# checkModuleRunsOK: runs the module as a shell subprocess and
 +
# look for errors in the output.  This is required, because otherwise
 +
# importing the module in this program will make this program crash.
 +
# It's not possible (as far as I can tell0 to catch exceptions from
 +
# the import or __module__ statements.
 +
# returns True, none if no errors, otherwise False, string if there's
 +
# an exception, and the error message (string) is in the returned 2nd
 +
# arg.
 +
# The module name is assumed to not include ".py"
 +
def checkModuleRunsOk( module, inputFileName ):
 +
    global interpreter
 +
    p = subprocess.Popen( [ interpreter, module+".py" ],
 +
                          stdout=subprocess.PIPE,
 +
                          stderr=subprocess.PIPE,
 +
                          stdin=subprocess.PIPE)
 +
 +
    #print( "inputFileName = ", inputFileName )
 +
    #print( "open( inputFileName, r).read() = ", open( inputFileName, "r" ).read() )
 +
 +
    p.stdin.write( bytes( open( inputFileName, "r" ).read(), 'UTF-8' ) )
 +
    try:
 +
      data = p.communicate( timeout=2 )  # timeout after 10sec
 +
    except subprocess.TimeoutExpired:
 +
      error = "Your program timed out. Very likely an infinite loop!"
 +
      return False, error
 +
    p.stdin.close()
 +
 +
    error = data[1].decode( 'UTF-8' )
 +
    if len( error ) > 1:
 +
        return False, error
 +
    return True, None
 +
 +
def firstLastLines( text ):
 +
    lines = text.split( "\n" )
 +
    if len( lines ) > 20:
 +
        text = "\n".join( lines[0:5] )+"\n...\n" + "\n".join( lines[-5:] )
 +
    return text
 +
 +
# extractTextFromErrorMessage( sys_exc_info ):
 +
def extractTextFromErrorMessage( sys_exc_info ):
 +
    if debug: print( "sys_exec_info = ", sys_exc_info )
 +
    text = ""
 +
    for field in sys_exc_info:
 +
        if type( field )==type( " " ):
 +
            text += field + "\n"
 +
 +
    return text
 +
 +
# runModule:
 +
# runs the module, passes it data from the input file on its stdin
 +
# and get its output on stdout captured in outputFileName.
 +
# We assume the module will not crash, because we already tested
 +
# it with checkModuleRunsOk().
 +
def runModule( module, inputFileName, outputFileName ):
 +
    global userOutSplitPattern
 +
 +
    error = False
 +
 +
    #--- make stdin read information from the text file
 +
    sys.stdin = open( inputFileName, "r" )
 +
 +
    #--- capture the stdout of the program to test into a file
 +
    saveStdOut = sys.stdout
 +
    saveStdErr = sys.stderr
 +
 +
    sys.stdout = open( outputFileName, "w" )
 +
    sys.stderr = open( "errorOut", "w" )
 +
 +
    #--- run the student program ---
 +
    try:
 +
        _module = __import__(  module  )
 +
        _module.main()
 +
    except:
 +
        error = True
 +
        sys.stderr.close()
 +
        sys.stderr = saveStdErr
 +
        sys.stdout.close()
 +
        sys.stdout = saveStdOut
 +
        text = sys.exc_info()[0]
 +
        text = extractTextFromErrorMessage( text )
 +
        #print( "*** sys.exc_info() = ", text )
 +
        text = open( outputFileName, "r" ).read() + "\n" + text
 +
        return error, text, 0
 +
 +
    #--- filter out junk from output of program ---
 +
    sys.stdout.close()
 +
    sys.stdout = saveStdOut
 +
    sys.stderr.close()
 +
    sys.stderr = saveStdErr
 +
 +
    file = open( outputFileName, "r" )
 +
    text = file.read()
 +
    file.close()
 +
    if debug:
 +
        print( "runModule( ", module, " ) returns text = <", text , ">" )
 +
 +
    return False, text, 0
 +
 +
def removeBlankLines( lines ):
 +
    newLines = []
 +
    log( "removeBlankLines: lines = " + str( lines ) )
 +
    for line in lines.split( "\n" ):
 +
        if len( line )==0:
 +
            continue
 +
        newLines.append( line )
 +
 +
    return ( "\n".join( newLines ) ) + "\n"
 +
 +
def compareUserExpected( inputLines, userOutText, expectedOutText ):
 +
    global stripOutputsBeforeCompare
 +
 +
    log( "compareUserExpected:\nuserOutText = " + userOutText )
 +
    log( "expectedOutText = " + expectedOutText )
 +
 +
    userOutText = removeBlankLines( userOutText )
 +
    expectedOutText = removeBlankLines( expectedOutText )
 +
    misMatchLineNumbers = []
 +
    userTextOutLines = userOutText.split( "\n" )
 +
    expectedOutTextLines = expectedOutText.split( "\n" )
 +
 +
    log( "-" * 60 )
 +
    log( "userTextOutLines = " + str( userTextOutLines ) )
 +
    log( "expectedOutTextLines = " + str( expectedOutTextLines ) )
 +
    log( "-" * 60 )
 +
 +
    for i in range( len( userTextOutLines ) ):
 +
        lineNo = i+1
 +
        userLine = userTextOutLines[i]
 +
        if i >= len( expectedOutTextLines ):
 +
            misMatchLineNumbers.append( lineNo )
 +
            break
 +
        expectedLine = expectedOutTextLines[i]
 +
        log( "compareUserExpected: comparing:\n  "+userLine+"\n  "+expectedLine )
 +
        if stripOutputsBeforeCompare:
 +
            userLine = userLine.strip()
 +
            expectedLine = expectedLine.strip()
 +
        if userLine != expectedLine:
 +
            log( "\ndifference:\n  user    >" + userTextOutLines[i] + "<" )
 +
            log( "\n  expected >" + expectedOutTextLines[i] + "<" )
 +
            misMatchLineNumbers.append( lineNo )
 +
 +
    return misMatchLineNumbers
 +
 +
 +
 +
def main():
 +
    global module
 +
    global solutionModule
 +
 +
    #--- remove if __name__=="__main__" statement, if it's here...
 +
    addIfNameEqMain( studentModule+ ".py" )
 +
 +
    #--- clear debug log ---
 +
    clearLog()
 +
 +
    #--- remove comments ---
 +
    file = open( studentModule+".py", "r" )
 +
    text = file.read( )
 +
    file.close()
 +
 +
    text = pyminifier.removeComments( text )
 +
    file = open( studentModule+".py", "w" )
 +
    file.write( text + "\n" )
 +
    file.close()
 +
 +
    #--- check that the main module uses a main() function
 +
    foundDef, foundCall = checkForFunctionPresence( studentModule, "min" )
 +
    if foundCall:
 +
        commentShort( "You are using the function min(), which was not allowed." )
 +
        printGrade( 5 )
 +
        return
 +
 +
    foundDef, foundCall = checkForFunctionPresence( studentModule, "max" )
 +
    if foundCall:
 +
        commentShort( "You are using the function max(), which was not allowed." )
 +
        printGrade( 5 )
 +
        return
 +
 +
 +
    # test that module runs on its own without problem
 +
    file = open( "input.txt", "w" )
 +
    file.write( "\n" )
 +
    file.close()
 +
    Ok, errorMessage = checkModuleRunsOk( module, "input.txt" )
 +
    if not Ok:
 +
        errorMessage = firstLastLines( errorMessage )
 +
        commentLong( "- Your program crashed...\n"
 +
                        + "Error message:\n"
 +
                    + errorMessage + "\n" )
 +
        printGrade( 5 )
 +
        return
 +
 +
    gradeIncrement = 25
 +
    grade          = 0
 +
    for testNo in [0, 1, 2, 3]:
 +
        inputList =  generateTestModule( module, testNo )
 +
        generateSolutionModule( solutionModule, testNo )
 +
 +
        dummy, expectedOutText, score2 = runModule( solutionModule,
 +
                                                    "input.txt", "expectedOut" )
 +
        if debug: print( "runModule solution:", dummy, expectedOutText, score2 )
 +
 +
        # generate user output
 +
        error, userOutText, score2  = runModule( module, "input.txt", "userOut" )
 +
        if debug: print( "runModule user:", error, userOutText, score2 )
 +
        if error:
 +
            commentLong( "- Your program crashed...\n"
 +
                        + "Error message:\n"
 +
                        + userOutText + "\n" )
 +
 +
        missMatches = compareUserExpected( ["\n"], userOutText, expectedOutText )
 +
        if debug: print( " missMatches = ", missMatches )
 +
        if len( missMatches ) != 0:
 +
            commentLong( "- Incorrect output...\n"
 +
                        +"input list = \n"
 +
                        +"Expected output:\n"
 +
                        +expectedOutText + "\n"
 +
                        +"Your output:\n"
 +
                        +userOutText + "\n" )
 +
            #printGrade( len( missMatches ) * 20 )
 +
        else:
 +
            commentLong( "- Your program passes the test\n"
 +
                        + "Test list = " + str( inputList ) +"\n" )
 +
            grade += gradeIncrement
 +
 +
    printGrade( grade )
 +
 +
main()
 +
 +
 +
</source>
 +
<br />
 +
==testHw12_1.py==
 +
<br />
 +
<source lang="python">
 +
from hw12_1 import *
 +
 +
def main():
 +
    A = [ "lucy", "marie", "joe", "larry"]
 +
    low, high = smallestLargest( A )
 +
    print( low, high )
 +
 +
if __name__=="__main__":
 +
    main()
 +
 +
</source>
 +
<br />
 +
 +
</onlydft>
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
<br />
 +
 
[[Category:Homework]][[Category:CSC111]][[Category:Python]]
 
[[Category:Homework]][[Category:CSC111]][[Category:Python]]
  
 
<br />
 
<br />

Latest revision as of 22:15, 20 June 2015

--D. Thiebaut (talk) 17:30, 19 April 2015 (EDT)


<showafterdate after="20150422 14:00" before="20150601 00:00">

This homework is optional. If you skip it, you will not be penalized. If you work on it and submit it, however, the grade you will get for will replace the lowest grade you will have obtained on any of the previous homework assignments. So, if you were not able to submit Homework 5, for example, then the grade for Homework 12 will become the grade for Homework 5.
The rule of dropping the lowest homework of the semester still holds. Once the grade for Homework 12 is plugged into your past homework grades, I will drop the lowest of the whole semester. This will not be apparent in the grade-book on Moodle, but will be done in an eXcel spreadsheet, once the semester is over.


Problem #1


Write a program called hw12_1.py that contains a recursive function called smallestLargest() which returns the smallest and largest elements of a list of integers.

Example main() program: 


""" 
hw12_1.py
yourname

This program prompts the user for a number of random integers that
should be generated and stored in a list, and then calls the recursive
function smallestLargest() on this list.  The recursive function finds the 
smallest and largest items and returns both.
"""
import random

# your recursive function goes here...


def generateAListOfRandomInts( ):
    """prompts the user for a number of  items, and creates a list
    with that many random integers.  Returns the list.
    """

    # sets the seed to 1. Do not change this line!!!
    random.seed( 1 )

    # get a number from the user
    n = int( input( "How many random numbers in the list? ") )

    # create a list with n random ints between 0 and 30.
    A = []
    for i in range( n ):
        A.append( random.randint(0, 30) )
    return A
   
 
def main():
     # generate the list of random ints
     A = generateAListOfRandomInts()

     # find the smallest and largest items in the list.
     low, high = smallestLargest( A )
     print( "smallest item =", low, " largest item = ", high )
     # will print
     # smallest item = -10 largest item = 20

if __name__=="__main__":
     main()


Requirements


  1. The function smallestLargest() must be recursive.
  2. You cannot use the min() or max() standard Python functions. If you want to find the largest of two items, you need to do the comparison in Python, using <, <=, >, or >=.


Submission


Submit your program to the Moodle section, HW12 PB 1

Problem #2


Write a Python program called hw12_2.py that generates, recursively a tree with fruit, as close to the tree shown below as possible. You should not reproduce the text in the image; just the tree, its colors, and its fruit.

FractalTreeHw12.png


Requirements


  • The oranges have a radius of 20. They must be generated inside the recursive function. As a result some of the branches will appear in front, some below the oranges.
  • The branches must have different colors, and not be all drawn with the same color.


Submission


  • Submit your program as well as a screen capture of its output to Moodle, in the HW12 PB2 and HW12 Image 2 sections.
  • Note: To change the color of a line with the graphics library (use graphics111.py, please), you should use the setOutline() method rather than the setFill() method.
  • I used only 3 colors to generate the tree above: "orange", "blue", and "brown".


</showafterdate>

<showafterdate after="20150429 00:00" before="20150601 00:00">

Solution Programs


Recursive MinMax


# hw12_1.py
# D. Thiebaut
# Solution program for Homework 12

def minmax( A ):
    """recursive function that returns the min and max of a list
    of comparable items"""

    # stopping condition #1
    if len( A )==0:
        return None, None

    # stopping condition #2
    if len( A )==1:
        return A[0], A[0]

    # recursive step
    theMin, theMax = minmax( A[1: ] )

    # do a bit of work...
    if A[0] < theMin:
        theMin = A[0]
    if A[0] > theMax:
        theMax = A[0]

    # return the smallest or largest of what we kept
    # and what the recursive call brought back
    return theMin, theMax

def main():
     A = [ 1, 10, 20, 3, 2, -1, -10, 5, 5, 5, 5 ]
     low, high = minmax( A )
     print( "smallest item =", low, " largest item = ", high )
     # will print
     # smallest item = -10 largest item = 20

     A = [ 1 ]
     low, high = minmax( A )
     print( "smallest item =", low, " largest item = ", high )
     # will print
     # smallest item = 1 largest item = 1
 
     A = [ ]
     low, high = minmax( A )
     print( "smallest item =", low, " largest item = ", high )
     # will print
     # smallest item = None largest item = None

     A = [ "alpha", "beta", "gamma", "epsilon" ]
     low, high = minmax( A )
     print( "smallest item =", low, " largest item = ", high )
     # will print
     # smallest item = alpha largest item = gamma

if __name__=="__main__":
     main()


Fractal Tree


# fractalTree.py
# D. Thiebaut
# Code taken from http://openbookproject.net/thinkcs/python/english3e/recursion.html
# and adapted to work with graphics111.py.
#
# Draws a fractal tree on the graphic window.
#
from graphics import *
import math
import time
import random

# dimensions of the window
MAXWIDTH = 800
MAXHEIGHT = 800

# recursive tree-drawing function
# 
def draw_tree(win   ,       # the canvas
              order,        # the level of recursion.  Starts positive.
              theta,        # angle of new branch leaving this trunk
              sz,           # size of this branch
              x, y,         # coordinates of base of this branch
              heading,      # angle of direction of this branch
              color         # color
              ):    

   trunk_ratio = 0.29       # How big is the trunk relative to whole tree?
   trunk = sz * trunk_ratio # length of trunk

   # compute x, y of end of the current branch
   delta_x = trunk * math.cos(heading)
   delta_y = trunk * math.sin(heading)
   x2, y2 = x + delta_x, y + delta_y

   
   # draw current branch
   branch = Line( Point( x, y), Point( x2, y2 ) )
   branch.setFill( color )
   branch.setWidth( 2 )
   branch.setOutline( color )
   branch.draw( win )

   # if this branch has sub-branches, then recurse
   if order > 0:    
       
      # make the recursive calls to draw the two subtrees
      newsz = sz*(1 - trunk_ratio)
      draw_tree(win,
                order-1, theta, newsz, x2, y2, heading-theta,
                "orange" )
      draw_tree(win,
                order-1, theta, newsz, x2, y2, heading+theta,
                "blue" )
      
   # draw orange
   if order == 4:
       orange = Circle( Point( x, y ), 20 )
       orange.setFill( "orange" )
       orange.draw( win )


# draw 1 tree in the middle of the screen, shooting straight up.
def main():
    win = GraphWin("Fractal Tree", MAXWIDTH, MAXHEIGHT )
    theta = 0.8      # use 0.02 for tall skinny trees, 0.7 for fat trees
    draw_tree(win,
              9,
              theta,
              MAXWIDTH*0.9, MAXWIDTH//2,
              MAXHEIGHT-50,
              -math.pi/2,
              "brown" )
        
    win.getMouse()
    win.close()

main()


</showafterdate>


...








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