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    Functions



Functions



Lab 1, Functions:
To do: Find the maximum among two numbers using a function.


✍Algorithm:


function max(a, b: integer): integer;
begin
  if a > b then Result := a
  else Result := b;
end;
 
begin
  var (x, y) := readinteger2;
  println('maximum = ', max(x, y))
end.




{0.3 points} Task 1, functions:
To do: Create a function to find the minimum among three numbers (three parameters of the function).


Expected output:

please, input three numbers
>>>2  >>>5  >>>9
minimum = 2


[Program name: task-01-func.pas]




{0.3 points} Task 2, functions:
To do: Create a function to find the average (arithmetic mean) of three entered numbers (three parameters).


Expected output:

please, input three numbers
>>>2  >>>5  >>>2
average = 3


[Program name: task-02-func.pas]




{0.3 points} Task 3, functions:
To do: Create a function IsDigit(D) that returns true if the entered integer D is a digit (i.e., lies in the range [0,9]). In the main program, output the results of this function for three entered numbers.


Expected output:

please, input number #1
42
false
---
please, input number #2
4
true
---
please, input number #3
-5
false


[Program name: task-03-func.pas]




Lab 2, Functions:
To do: Create a function to calculate the factorial of an entered number.


✍Algorithm:


function Fact(n: integer): integer;
begin
  Result := 1;
  for var i := 1 to n do
    Result *= i
end;
 
begin
  var x:=readinteger('enter number:');
  println($'{x}! = {Fact(x)}')
end.




{0.4 points} Task 4, functions:
To do: Create a function that calculates the sum of all numbers from 1 to N. N is a function parameter.


Expected output:

Enter the number N:
100
the sum = 5050


[Program name: task-04-func.pas]




Lab 3, Short Function Definition:
To do: Create a function to calculate the hypotenuse of a triangle (sides of the triangle are entered). Use this function to calculate the hypotenuses of five triangles.


✍Algorithm:


function Hypot(a, b: real) := Sqrt(a * a + b * b); 
 
begin
  loop 5 do
  begin
    var (a, b) := ReadlnReal2('Enter sides a,b:');
    Println(Hypot(a, b))
  end;
end.




{0.4 points} Task 5, functions:
To do: Create a function CircleS(R) of real type that returns the area of a circle with radius R (R is entered real). Use this function to find the area of three circles with these radii. The area of a circle of radius R is calculated by the formula S=π*R². As the value of π (π), use 3.14. Use short function definition.


Expected output:

Enter radius 
>>>5
S = 
---
Enter radius
>>>7.8
S =


[Program name: task-05-func.pas]




{0.4 points} Task 6, functions:
To do: Create a function that calculates the power of a number. Base number and exponent are the parameters of the function. Use short function definition.


Note: Remember that parameters of the power() function are reals.


Expected output:

Enter number and exponent: 
>>>5  >>>2
5 ^ 2 = 25


[Program name: task-06-func.pas]




{0.5 points} Task 7, functions:
To do: Create a function Triangle(a, h) that calculates the perimeter of an isosceles triangle based on its base a and height h dropped onto the base (a and h are entered integers). When calling this function, output the perimeters of three triangles (perimeter = sum of the lengths of all sides). To find the side b of the triangle, use the Pythagorean theorem: b²=(a/2)²+h².


Expected output:

Enter a and h 
>>>5  >>>2
perimeter = 11.40


[Program name: task-07-func.pas]




{0.3 points} Task 8, functions:
To do: Extend the previous task (#7) by creating an overloaded version of the function to calculate the perimeter of an isosceles triangle for real values of a and h. Call this function twice — once for integer arguments and once for real arguments.


Expected output:

Enter a and h 
>>>5  >>>2
perimeter = 11.40
---
Enter a and h 
>>>2.5  >>>6.8
perimeter = 16.33
---
Enter a and h 
>>>15.2  >>>18.3
perimeter = 54.83


[Program name: task-08-func.pas]

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