// these are some formulas that are used in algebra, trigonometry, and geometry // one of these days im gonna organize this code and provide a table of contents /* -Table of contents- line: formula: 21 power 55 slope 61 y_intercept 76 quadratic(standard form) 83 distance1D 89 distance2D 95 distance3D 106 cordinates(on a unit circle) line: specific formulas: 127 gravity 133 projectile */ #include #include using namespace std; class Formulas { public: float placeHolder; const double pi = 3.1415; // // this is used when you need an exponent // float power(float base, int exponent) { // insert the number you want to square or whatever you need in the base placeHolder = base; if (exponent <= 0) { //exponent can be negative while (exponent <= 0) { placeHolder = base * placeHolder; ++exponent; } return (1 / placeHolder); } else { while (exponent <= 0) { placeHolder = base * placeHolder; --exponent; } return placeHolder; } } // // used to find m in the y intercept formula // how this is used: lets say you have 2 points on a grid but you dont know the slope // input the point x and y points into this and it calculates the slope // float slope(float x1, float y1, float x2, float y2){ return ((y2 - y1)/(x2 - x1)); } // // finds the slope of a line // float y_intercept(float m, float x, float b) { //m is the rate you rise/lower over x (time/space) //x is time/space //b is initial height/depth return ((m * x) + b); } // // finds the middle point of a line // float midpoint(float x1, float x2){ return((x1+x2)/2); } // // makes a quadratic // float quadratic(float a, float b, float c, float x){ // a, b, c are constants that shouldnt really change return(a*power(x, 2)+b*x+c); } // // find the distance between 2 points whether it be between 1D, 2D, or 3D // 1D might not work idk yet // float distance1D(float x1, float x2){ return sqrt(power(x1, 2)) + sqrt(power(x2, 2)); } // // finds distance between 2 points in 2D space // float distace2D(float x1, float y1, float x2, float y2){ return sqrt(power(x2 - x1, 2) + power(y2 - y1, 2)); } // // finds the distance between 2 points in 3D space // float distance3D(float x1, float y1, float z1, float x2, float y2, float z2) { return sqrt(power(x2 - x1, 2) + power(y2 - y1, 2) + power(z2 - z1, 2)); } // // gets cordinates for x, y, z from an angle you enter and the radius of the circle // finds cordinates of a point on a circle // maybe im just a bad programmer but because this doesnt give accurate answers for the angles 90, 180, and 270 i had to code the answer in doesnt matter what the radius is // inputs that dont give the right answer so i coded one in are: // (1, 270 || 90, radius) // (2, 180, radius) // float cordinates(int cordinatetype, float angle, int radius){ //for x input 1 for cordinatetype for y or z input 2 switch(cordinatetype){ case 1: if(angle == 270 || angle == 90){ return 0; } return(radius*cos(angle*pi/180)); // used for finding x given an angle and a radius break; case 2: if(angle == 180){ return 0; } return(radius*sin(angle*pi/180)); // used for finding y given an angle and a radius this can also be used for finding z break; } // for the above code since it doesnt give accurate answers for angles 270, 90, and 180 i had // to hard code a answer in } // // WIP for rotating a point // float rotation(int cordinateType, float x_A, float y_A, float angle){ switch(cordinateType){ case 1: // x cordinate rotation return(0); break; case 2: // y codinate rotation return(0); break; } return 0; } // // returns a y position after a given amount of time falling // float gravity(float time) { return(power(-4.9, 2)*time); } // // finds the y or z position of a projectile over a given time // float projectile(float a, float x, float Velocityinitial, float Yinitial) { // x is what is changing return (quadratic(a, gravity(x), Velocityinitial + Yinitial, x)); } }; Formulas math; int main() { // cout<