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### 2. Quadratic Function
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### 2. Quadratic Function
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- Note: code needs to be formatted
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- Code altered from [Marco Biagini](https://www.quora.com/What-is-a-COBOL-program-that-will-solve-a-quadratic-equation)
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- credit to [Marco Biagini](https://www.quora.com/What-is-a-COBOL-program-that-will-solve-a-quadratic-equation)
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- Solves a quadratic equation of the form **ax^2 + bx + c = 0**
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- a quadratic equation of the form **ax^2 + bx + c = 0**
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#### Input
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#### Input
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User will be prompted for a, b, and c (ex. 1, 5, 6)
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Coefficients are a fixed value with a = 1, b = 5, c = 6
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#### Output
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#### Output
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Program will display the real roots or if there are no real roots (ex. -2, -3)
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EQUATION: (1x^2) + 5x + 6 = 0
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The equation has two distinct real roots:
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Root 1: -02.00
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Root 2: -03.00
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### 3. Integer Sort
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### 3. Integer Sort
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### 4. Language Features
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### 4. Language Features
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- #### Identifiers
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All variables are declared within DATA DIVISION. Variable names accept letters(A-Z), digits(0-9), and hyphens(-). In the syntax of:
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<level-number> <variable-name>
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[PIC/PICTURE <data-type(variable-length>)]
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[VALUE <literal-value>]
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Statements in [ ] are optional. Example:
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01 INT-VAR PIC 9(03 VALUE 123).
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- #### Special words
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- Note: Keywords are not case sensitive but good practice is to only use uppercase
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- Division statements divide the structure of the code. Some examples are PROGRAM-ID, DATA DIVISION, WORKING STORAGE DIVISION, PROCEDURE DIVISION, and STOP RUN.
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- DISPLAY outputs data to user
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- MOVE sends data from one variable to another
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- ACCEPT allows for user input to go into a variable
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- Supports boolean values TRUE and FALSE
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- #### Literal
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*> This is a comment in COBOL
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Non-numeric
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DISPLAY "This is a string in COBOL".
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DISPLAY 'This is a string in COBOL'.
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Numeric
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Digits 0 - 9
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Positive numbers: +10
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Negative numbers: -10
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Decimal: 10.00
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- #### Math Operators
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Supports additon (+), subraction (-), multiplication (*), and division (/) and exponentation (**). Equations begin with COMPUTE.
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COMPUTE total = 1 + 2
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- #### Relational Operators
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Supports =, >, <, >=, <=, NOT =
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IF a > b
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- #### Delimiters
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Section headers and verb statements should end with a separator period (.)
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PROCEDURE DIVISION.
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MOVE "Hello" TO VAR1.
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Commas (,) can separate two variables
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ADD 3 TO VAR1, VAR2.
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- #### Lists
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Supports arrays (known in COBOL as tables). Declared in DATA DIVISION. In the syntax of:
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01 <table-name>.
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02 <variable-name> [PIC <data-type(length1)>]
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OCCURS <int1> [TO <int2>] TIMES
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[DEPENDING ON]
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[DESCENDING|ASCENDING KEY IS <key_var>]
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[INDEXED BY <index_name>]
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Statements in [ ] are optional. Example:
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01 Students
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03 Student-grades PIC 9(03) OCCURS 6 TIMES.
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- #### Loops
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Loops begin with a PERFORM statement and end with END-PERFORM. Note that a separator period (.) should not used within a PERFORM block.
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PERFORM <conditional statement>
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<statements-block>
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END-PERFORM.
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- #### Branching
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Uses IF/END-IF and ELSE statements and nested statements. Note that a separator period (.) should not used within an IF statement.
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IF <condition>
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DISPLAY "Option 1"
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ELSE
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DISPLAY "Option 2"
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END-IF.
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` Language Feature Sources `
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- [tutorialspoint.com](https://www.tutorialspoint.com/cobol/cobol_basic_syntax.htm)
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- [mainframestechhelp.com](https://www.mainframestechhelp.com/tutorials/cobol/)
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@ -1,63 +1,35 @@
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/*code from https://www.quora.com/What-is-a-COBOL-program-that-will-solve-a-quadratic-equation
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*> Code altered from https://www.quora.com/What-is-a-COBOL-program-that-will-solve-a-quadratic-equation
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*> Program finds the roots to a simple quadratic equation
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IDENTIFICATION DIVISION.
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IDENTIFICATION DIVISION.
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PROGRAM-ID. QuadraticSolver.
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PROGRAM-ID. QuadraticSolver.
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DATA DIVISION.
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DATA DIVISION.
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WORKING-STORAGE SECTION.
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WORKING-STORAGE SECTION.
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77 a PIC S9(5)V9(5) COMP-3 VALUE 1.
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77 a PIC S9(5)V9(5) COMP-3.
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77 b PIC S9(5)V9(5) COMP-3 VALUE 5.
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77 c PIC S9(5)V9(5) COMP-3 VALUE 6.
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77 b PIC S9(5)V9(5) COMP-3.
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77 c PIC S9(5)V9(5) COMP-3.
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77 discriminant PIC S9(5)V9(5) COMP-3.
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77 discriminant PIC S9(5)V9(5) COMP-3.
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77 root1 PIC S9(5)V9(5) COMP-3.
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77 root1 PIC S9(5)V9(5) COMP-3.
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77 root2 PIC S9(5)V9(5) COMP-3.
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77 root2 PIC S9(5)V9(5) COMP-3.
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77 square-root-discriminant PIC S9(5)V9(5) COMP-3.
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77 square-root-discriminant PIC S9(5)V9(5) COMP-3.
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PROCEDURE DIVISION.
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PROCEDURE DIVISION. *> program begins here
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DISPLAY "EQUATION: (1x^2) + 5x + 6 = 0"
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DISPLAY "Enter the coefficients of the quadratic equation (a, b, c): ".
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ACCEPT a
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ACCEPT b
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ACCEPT c
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COMPUTE discriminant = (b ** 2) - (4 * a * c)
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COMPUTE discriminant = (b ** 2) - (4 * a * c)
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IF discriminant > 0
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IF discriminant > 0
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COMPUTE square-root-discriminant = FUNCTION SQRT(discriminant)
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COMPUTE square-root-discriminant = FUNCTION SQRT(discriminant)
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COMPUTE root1 = (-b + square-root-discriminant) / (2 * a)
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COMPUTE root1 = (-b + square-root-discriminant) / (2 * a)
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COMPUTE root2 = (-b - square-root-discriminant) / (2 * a)
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COMPUTE root2 = (-b - square-root-discriminant) / (2 * a)
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DISPLAY "The equation has two distinct real roots: "
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DISPLAY "The equation has two distinct real roots: "
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DISPLAY "Root 1: " root1
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DISPLAY "Root 1: " root1
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DISPLAY "Root 2: " root2
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DISPLAY "Root 2: " root2
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ELSE IF discriminant = 0
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ELSE IF discriminant = 0
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COMPUTE root1 = -b / (2 * a)
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COMPUTE root1 = -b / (2 * a)
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DISPLAY "The equation has one real root: "
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DISPLAY "The equation has one real root: "
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DISPLAY "Root: " root1
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DISPLAY "Root: " root1
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ELSE
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ELSE
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DISPLAY "The equation has no real roots."
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DISPLAY "The equation has no real roots."
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STOP RUN.
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STOP RUN.
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