Mathlib-cpp

About

This is a C++ library that I wrote. It provides a number of useful utilities, including:

• Mathematical functions (e.g., addition, subtraction, multiplication, division)
• Determining if a number is odd, prime, and more.
• Solving quadratic equations (ax^2 + bx + c = 0) and linear equations (ax + by = c).
• Measuring volume, area, length, angles, and more for various shapes using only their vertex points.
• Providing access to 20+ essential mathematical constants.

Installation

To install this library, you can either download the source code and build it yourself, or you can use a pre-built package.

To build the library from source, you will need to have CMake installed. Once you haveCMake installed, you can clone the library repository and run the following command:

Usage

To use the library, you will need to include the library header file in your source code:

#include "mathlib-cpp/index.cpp"

Then, you can use the library functions like any other function in your code. For example, to calculate the sum of two numbers, you would use the following code:

int arr[] = {1, 2, 3, 4, 5};
int sum = mlb::add(arr, 5);

Documentation

For extensive documentation, visit the MathLib-cpp Documentation.

Bainary documentation: https://github.com/MarufHasan24/mathlib-cpp/wiki/Bainary-Mathlib‐cpp

Hexadecimal documentation: https://github.com/MarufHasan24/mathlib-cpp/wiki/Hexadecimal-Mathlib‐cpp

Octal documentation: https://github.com/MarufHasan24/mathlib-cpp/wiki/Octal-Mathlib‐cpp

Complex Number : https://github.com/MarufHasan24/mathlib-cpp/wiki/Complex-Number

Example

Here is a simple example of how to use the library:

#include <iostream>
#include "mathlib-cpp/index.cpp"

int main() {
  // Calculate the sum of some numbers
  int arr[] = {1, 2, 3, 4, 5};
  int sum = mlb::add(arr, 5);

  // Print the sum to the console.
  std::cout << "The sum is: " << sum << std::endl;

  return 0;
}

Key Functions

Here's a taste of the functions provided by MathLib-cpp:

1. int add(int a[], int len);

   • Description: Computes the sum of elements in an integer array.
   • Usage Example: add(arr, length) returns the sum of all elements in the array arr of length length.

2. int sub(int a[], int len);

   • Description: Calculates the result of subtracting all elements in an integer array from the first element.
   • Usage Example: sub(arr, length) returns the result of subtracting all elements in the array arr from the first element.

3. int mul(int a[], int len);

   • Description: Multiplies all elements in an integer array together.
   • Usage Example: mul(arr, length) returns the product of all elements in the array arr.

4. float div(int a[], int len);

   • Description: Computes the result of dividing the first element in an integer array by the product of the rest of the elements.
   • Usage Example: div(arr, length) returns the result of dividing the first element in the array arr by the product of the rest of the elements.

5. float avg(int a[], int len);

   • Description: Calculates the average of elements in an integer array.
   • Usage Example: avg(arr, length) returns the average value of the elements in the array arr.

6. float logx(int base, int x);

   • Description: Computes the logarithm of x with the specified base.
   • Usage Example: logx(base, x) returns the logarithm of x with the base base.

7. float rootx(int base, int x);

   • Description: Calculates the base-th root of x.
   • Usage Example: rootx(base, x) returns the base-th root of x.

8. int random(int min, int max);

   • Description: Generates a random integer between min and max.
   • Usage Example: random(min, max) returns a random integer within the specified range.

9. double limit(int tt, int (*fc)(int));

   • Description: Evaluates the limit of a given mathematical function fc as the variable approaches tt.
   • Usage Example: limit(tt, function) calculates the limit of the provided function as it approaches tt.

10. double fact(int n);

    • Description: Computes the factorial of an integer n.
    • Usage Example: fact(n) returns the factorial of n.

11. float* linearEq(float x[], float y[]);

    • Description: Solves a system of linear equations with one variable using the provided arrays of x and y values.
    • Usage Example: linearEq(x, y) returns an array containing the solution to the linear equation system.
    • Note: If the system has no solution, the function returns NULL. It will return the pointer to the result array.

12. float* quadEq(float a, float b, float c);

    • Description: Solves a quadratic equation with coefficients a, b, and c.
    • Usage Example: quadEq(a, b, c) returns an array containing the roots of the quadratic equation.
    • Note: If the equation has no real roots, the function returns NULL. It will return the pointer to the result array.

13. bool isPrime(int n);

    • Description: Checks if an integer n is a prime number.
    • Usage Example: isPrime(n) returns true if n is prime; otherwise, it returns false.

14. bool isOdd(int n);

    • Description: Determines if an integer n is an odd number.
    • Usage Example: isOdd(n) returns true if n is odd; otherwise, it returns false.

15. int sums(int start, int end, int (*fc)(int));

    • Description: Calculates the sum of function values from start to end using the provided function fc.
    • Usage Example: sums(start, end, function) returns the sum of function values within the specified range.

16. double combo(int n, int r);

    • Description: Computes the number of combinations (n choose r) for given values of n and r.
    • Usage Example: combo(n, r) returns the number of combinations of n items taken r at a time.

17. double permt(int n, int r);

    • Description: Calculates the number of permutations for given values of n and r.
    • Usage Example: permt(n, r) returns the number of permutations of n items taken r at a time.

18. int gcd(int a, int b);

    • Description: Finds the greatest common divisor (GCD) of two integers a and b.
    • Usage Example: gcd(a, b) returns the GCD of a and b.

19. int lcm(int a, int b);

    • Description: Calculates the least common multiple (LCM) of two integers a and b.
    • Usage Example: lcm(a, b) returns the LCM of a and b.

20. int* primes(int start, int end);

    • Description: Generates an array of prime numbers within the specified range [start, end].
    • Usage Example: primes(start, end) returns an array of prime numbers between start and end.
    • Note: It will return the pointer to the result array.

License

This library is licensed under the MIT License. You can find the full license text in the LICENSE file.

Support

If you have questions, bug reports, feature requests, or need general assistance, don't hesitate to reach out at gamerid703@gmail.com, or create an issue on the GitHub repository.