COP 1000c Lab Assignment 3
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C H A P T E R 3
Decision Structures and Boolean Logic
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Topics • The if Statement • The if-else Statement • Comparing Strings • Nested Decision Structures and the if-elif-else
Statement • Logical Operators • Boolean Variables • Turtle Graphics: Determining the State of the Turtle
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The if Statement
• Control structure: logical design that controls order in which set of statements execute
• Sequence structure: set of statements that execute in the order they appear
• Decision structure: specific action(s) performed only if a condition exists • Also known as selection structure
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The if Statement (cont’d.)
• In flowchart, diamond represents true/ false condition that must be tested
• Actions can be conditionally executed • Performed only when a condition is true
• Single alternative decision structure: provides only one alternative path of execution • If condition is not true, exit the structure
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The if Statement (cont’d.)
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The if Statement (cont’d.)
• Python syntax: if condition:
Statement Statement
• First line known as the if clause • Includes the keyword if followed by condition
• The condition can be true or false • When the if statement executes, the condition is
tested, and if it is true the block statements are executed. otherwise, block statements are skipped
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Boolean Expressions and Relational Operators
• Boolean expression: expression tested by if statement to determine if it is true or false • Example: a > b
• true if a is greater than b; false otherwise
• Relational operator: determines whether a specific relationship exists between two values • Example: greater than (>)
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Boolean Expressions and Relational Operators (cont’d.)
• >= and <= operators test more than one relationship • It is enough for one of the relationships to exist
for the expression to be true • == operator determines whether the two
operands are equal to one another • Do not confuse with assignment operator (=)
• != operator determines whether the two operands are not equal
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Boolean Expressions and Relational Operators (cont’d.)
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Boolean Expressions and Relational Operators (cont’d.)
• Using a Boolean expression with the > relational operator
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Boolean Expressions and Relational Operators (cont’d.)
• Any relational operator can be used in a decision block • Example: if balance == 0 • Example: if payment != balance
• It is possible to have a block inside another block • Example: if statement inside a function • Statements in inner block must be indented
with respect to the outer block
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The if-else Statement
• Dual alternative decision structure: two possible paths of execution – One is taken if the condition is true, and the
other if the condition is false • Syntax: if condition:
statements else: other statements
• if clause and else clause must be aligned • Statements must be consistently indented
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The if-else Statement (cont’d.)
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The if-else Statement (cont’d.)
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Comparing Strings • Strings can be compared using the ==
and != operators • String comparisons are case sensitive • Strings can be compared using >, <, >=,
and <= • Compared character by character based on
the ASCII values for each character • If shorter word is substring of longer word,
longer word is greater than shorter word
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Comparing Strings (cont’d.)
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Nested Decision Structures and the if-elif-else Statement
• A decision structure can be nested inside another decision structure • Commonly needed in programs • Example:
• Determine if someone qualifies for a loan, they must meet two conditions:
• Must earn at least $30,000/year • Must have been employed for at least two years
• Check first condition, and if it is true, check second condition
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Nested Decision Structures and the if-elif-else Statement (cont’d.)
• Important to use proper indentation in a nested decision structure • Important for Python interpreter • Makes code more readable for programmer • Rules for writing nested if statements:
• else clause should align with matching if clause • Statements in each block must be consistently
indented
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The if-elif-else Statement • if-elif-else statement: special version of
a decision structure • Makes logic of nested decision structures simpler to
write • Can include multiple elif statements
• Syntax: if condition_1: statement(s) elif condition_2: statement(s) elif condition_3: statement(s) else statement(s)
Insert as many elif clauses as necessary.
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The if-elif-else Statement (cont’d.)
• Alignment used with if-elif-else statement: • if, elif, and else clauses are all aligned • Conditionally executed blocks are consistently
indented • if-elif-else statement is never required,
but logic easier to follow • Can be accomplished by nested if-else
• Code can become complex, and indentation can cause problematic long lines
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Logical Operators • Logical operators: operators that can be
used to create complex Boolean expressions • and operator and or operator: binary
operators, connect two Boolean expressions into a compound Boolean expression
• not operator: unary operator, reverses the truth of its Boolean operand
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The and Operator
• Takes two Boolean expressions as operands • Creates compound Boolean expression that is
true only when both sub expressions are true • Can be used to simplify nested decision
structures • Truth table for the and operator
Value of the Expression
Expression
falsefalse and false falsefalse and true falsetrue and false truetrue and true
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The or Operator
• Takes two Boolean expressions as operands • Creates compound Boolean expression that is
true when either of the sub expressions is true • Can be used to simplify nested decision
structures • Truth table for the or operator
Value of the Expression
Expression
falsefalse and false truefalse and true truetrue and false truetrue and true
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Short-Circuit Evaluation • Short circuit evaluation: deciding the
value of a compound Boolean expression after evaluating only one sub expression • Performed by the or and and operators
• For or operator: If left operand is true, compound expression is true. Otherwise, evaluate right operand
• For and operator: If left operand is false, compound expression is false. Otherwise, evaluate right operand
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The not Operator
• Takes one Boolean expressions as operand and reverses its logical value • Sometimes it may be necessary to place
parentheses around an expression to clarify to what you are applying the not operator
• Truth table for the not operator
Value of the Expression false true
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Checking Numeric Ranges with Logical Operators
• To determine whether a numeric value is within a specific range of values, use and
Example: x >= 10 and x <= 20 • To determine whether a numeric value
is outside of a specific range of values, use or
Example: x < 10 or x > 20
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Boolean Variables • Boolean variable: references one of two
values, True or False • Represented by bool data type
• Commonly used as flags • Flag: variable that signals when some
condition exists in a program • Flag set to False ! condition does not exist • Flag set to True ! condition exists
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Turtle Graphics: Determining the State of the Turtle
• The turtle.xcor() and turtle.ycor() functions return the turtle's X and Y coordinates
• Examples of calling these functions in an if statement:
if turtle.xcor() > 100 and turtle.xcor() < 200: turtle.goto(0, 0)
if turtle.ycor() < 0: turtle.goto(0, 0)
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Turtle Graphics: Determining the State of the Turtle
• The turtle.heading() function returns the turtle's heading. (By default, the heading is returned in degrees.)
• Example of calling the function in an if statement:
if turtle.heading() >= 90 and turtle.heading() <= 270: turtle.setheading(180)
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Turtle Graphics: Determining the State of the Turtle
• The turtle.isdown() function returns True if the pen is down, or False otherwise.
• Example of calling the function in an if statement:
if turtle.isdown(): turtle.penup()
if not(turtle.isdown()): turtle.pendown()
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Turtle Graphics: Determining the State of the Turtle
• The turtle.isvisible() function returns True if the turtle is visible, or False otherwise.
• Example of calling the function in an if statement:
if turtle.isvisible(): turtle.hideturtle()
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Turtle Graphics: Determining the State of the Turtle
• When you call turtle.pencolor() without passing an argument, the function returns the pen's current color as a string. Example of calling the function in an if statement:
• When you call turtle.fillcolor() without passing an argument, the function returns the current fill color as a string. Example of calling the function in an if statement:
if turtle.pencolor() == 'red': turtle.pencolor('blue')
if turtle.fillcolor() == 'blue': turtle.fillcolor('white')
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Turtle Graphics: Determining the State of the Turtle
• When you call turtle.bgcolor() without passing an argument, the function returns the current background color as a string. Example of calling the function in an if statement:
if turtle.bgcolor() == 'white': turtle.bgcolor('gray')
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Turtle Graphics: Determining the State of the Turtle
• When you call turtle.pensize() without passing an argument, the function returns the pen's current size as a string. Example of calling the function in an if statement:
if turtle.pensize() < 3: turtle.pensize(3)
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Turtle Graphics: Determining the State of the Turtle
• When you call turtle.speed() without passing an argument, the function returns the current animation speed. Example of calling the function in an if statement:
if turtle.speed() > 0: turtle.speed(0)
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Turtle Graphics: Determining the State of the Turtle
• See In the Spotlight: The Hit the Target Game in your textbook for numerous examples of determining the state of the turtle.
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Summary • This chapter covered:
• Decision structures, including: • Single alternative decision structures • Dual alternative decision structures • Nested decision structures
• Relational operators and logical operators as used in creating Boolean expressions
• String comparison as used in creating Boolean expressions
• Boolean variables • Determining the state of the turtle in Turtle Graphics