Quaternion Program plan: Define a class named “Quaternion” that defines basic operations of quaternion Define a function named “operator+()” that adds two input terms and displays the result. Define a function named “operator-()” that subtracts two input terms and displays the result. Declare a function named “operator()” that multiplies two input terms and displays the result. Define a function named “operator/()” that divides one input term with the other and displays the result. Define a function named “operator<<()” that overloads the output operator to output the fraction. Declare a function named “operator=()” that performs the function of assignment operation. Declare a function named “operator~()” that computes the conjugate of given input quaternion term. Declare a function named “normSquared()” that computes the squared norm of an input term and displays the result. Declare a function named “operator+=()” that denotes the operation of add AND assignment operators. Declare a function named “operator-=()” that denotes the operation of subtract AND assignment operators. Declare a function named “operator=()” that denotes the operation of multiply AND assignment operators. Declare a function named “operator/=()” that denotes the operation of divide AND assignment operators. Declare a function named “operator==()” that denotes the operation of equality comparison operators. Declare a function named “operator!=()” that denotes the operation of add equality operators of comparison type.

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Chapter 1, Problem 2PA

Program Plan Intro

Quaternion

Program plan:

Define a class named “Quaternion” that defines basic operations of quaternion

Define a function named “operator+()” that adds two input terms and displays the result.

Define a function named “operator-()” that subtracts two input terms and displays the result.

Declare a function named “operator()” that multiplies two input terms and displays the result.

Define a function named “operator/()” that divides one input term with the other and displays the result.

Define a function named “operator<<()” that overloads the output operator to output the fraction.

Declare a function named “operator=()” that performs the function of assignment operation.

Declare a function named “operator~()” that computes the conjugate of given input quaternion term.

Declare a function named “normSquared()” that computes the squared norm of an input term and displays the result.

Declare a function named “operator+=()” that denotes the operation of add AND assignment operators.

Declare a function named “operator-=()” that denotes the operation of subtract AND assignment operators.

Declare a function named “operator=()” that denotes the operation of multiply AND assignment operators.

Declare a function named “operator/=()” that denotes the operation of divide AND assignment operators.

Declare a function named “operator==()” that denotes the operation of equality comparison operators.

Declare a function named “operator!=()” that denotes the operation of add equality operators of comparison type.

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