Advanced-Scientific-Calculator-CPP

An Advanced Scientific Calculator Tool using C++ Language. It includes all major functions a calculator uses, apart for them, we have included a number of other innovatively designed functions.

Basis

The purpose of creation of this calculator tool is to simplify calculations for people, at least, on our level.

Advantages

This gives us a better understanding of creating programming tools, and will be amongst our first projects in these programming languages as well.

Includes

• Basic Mathematical operators (Addition, Subtraction, Multiplication, Division, etc.)
• Trigonometric Operators (Sin, Cos, Tan, Cot, Cosec, Sec)
• Scientific Calculator Operators (Power, Factorial, Reciprocal, Logarithm, Log10, Exponential function, Square Root, etc.)
• Unit Converters (CGS to SI and vice-versa, Degree to Radians and vice versa, etc.)
• Additional Functions (Rounding off, Greatest/Smallest Integer, Absolute Value, Negative of a Rational Number, Remainder after Division, etc.)
• Innovatively Created Operations (Taylor Series Calculator, Fibonacci Sequence Calculator, Permutations, Combinations, Impedance Calculation, Phase angle calculation, etc.)

Implementation

Basic Mathematical Operators

• Addition
  • Implementation using simple a+b commands by defining a and b as int/float data types.
• Subtraction
  • Implementation using simple a-b commands by defining a and b as int/float data types.
• Multiplication
  • Implementation using simple a*b commands by defining a and b as int/float data types.
• Division
  • Implementation using simple a/b commands by defining a and b as int/float data types.

Trigonometric Operators

• Sine function (sin x)
  • Implementation using library. The input will be only in Radians(float data type).
• Cosine function (cos x)
  • Implementation using library. The input will be only in Radians(float data type).

• Tangent function (tan x)

  • Implementation using library. The input will be only in Radians(float data type). Cotangent(cot x), Cosecant(cosec x) and Secant(sec x) functions can be implemented similarly by using the commands 1/tan x, 1/sin x, 1/cos x respectively.

• Inverse Trigonometric Functions: These can be calculated using asin x, acos x, atan x, etc., functions.

Scientific Calculator Operators

• Power Function
  • Implementation using library using the pow(x,n) function. Exponential Function can also be implemented using the above technique.
• Factorial
  • The function will be user defined, and will be implemented using loops.
• Square Root
  • Implementation using library using the sqrt(x) function.
• Reciprocal
  • Implementing using putting value equivalent to 1/x.
• Logarithm(ln)
  • Implementation using or library using log(x) function. Similarly, log10 can also be implemented by log10(x) function.

Unit Converters

• Radians to degrees and Degrees to Radians
  • This will be implemented by defining a function that uses the fact that 1 Degree is equivalent to π/180 radians.
• CGS to SI and SI to CGS
  • Basic conversion factor between all basic CGS and SI Units is that
  • 1 kg(SI) = 1000 g(CGS)
  • 1 m(SI) = 100 cm(CGS)
  • 1 s(SI) = 1 s(CGS) These can be assigned easily.

Additional Functions

• Rounding off
  • Implemented using round() function using library for float database.
• Greatest/Smallest Integer
  • Implemented using nested loops and arrays.
• Absolute Value
  • Implemented using the abs() function. Alternatively, if else statements can be used.
• Negative of a Rational Number
  • Implemented by assigning the variable a value that is negative of its own.
• Remainder after division
  • Implemented by using ‘%’ (Modulus) function. We can print the remainder of the division.

Innovatively Designed Functions

• Taylor Series Calculator(exemplified using 𝑒^𝑥)
  • Implemented using loops and defining the Taylor series for the given exponential function.
• Fibonacci Sequence Calculator
  • Implemented using for loops and user-defined functions, following the Fibonacci Sequence Principle that the nth term is the sum of the (n-1)th and the (n-2)th terms.
• Permutations and Combinations
  • Implemented using the formulae for P&C using the factorial function for calculating factorials.
• Impedance Calculation
  • Implemented using sqrt() and pow() functions. Where impedance is given by: Z = √(𝑹^𝟐+𝑿^𝟐 )
• Phase angle calculation
  • Implemented using arctan function defined by library, and using the relation: 〖𝐭𝐚𝐧〗^(−𝟏)⁡〖𝑿/𝑹〗 = Phase Angle (ф) or 〖𝐜𝐨𝐬〗^(−𝟏)⁡〖𝑹/𝒁〗 = Phase Angle(ф) [Where X = |𝑿𝑳−𝑿𝒄|]

Created by Anirudh Sharma and Gokul Verma

Built With

• c++