C # solving the parameters of the binary one-time equation,

C # solving the parameters of the binary one-time equation,

This article records a simple method for finding the slope of a straight line and the longitudinal intercept value, but simply records the solution ideas, and finally needs to be optimized according to the specific project.

Set the linear equation to y = kx + B.

Programming ideology:

1. input values of y1 and x1 to get y1 = kx1 + B.

2. input the values of y2 and x2 to get: y2 = kx2 + B.

3. First, calculate a coefficient m = kx1/kx2 or m = kx2/kx1

4. in step 3, multiply y1 = kx1 + B or y2 = kx2 + B by the coefficient m to make kx1 = kx2. Note that kx1 and kx2 cannot be 0.

4. Subtract two functions, for example, my2-my1 = mb-B, that is, m (y2-y1) = (S-1) B

5. Calculate the longitudinal intercept B = (m (y2-y1)/(m-1) Note: m cannot be 1 at the same time pay attention to floating point Rounding Problem

6. In B value y1 = kx1 + B, obtain the slope k value.

 

Sample Code:

Using System; namespace Demo {class Program {private static readonly int _ decimaldigits = 2; // retain 2 decimal places /// <summary> // calculates the slope k and the vertical intercept B value /// </summary> /// <param name = "x1 "> coordinate point x1 </param> // <param name =" x2 "> coordinate point x2 </param> // <param name =" y1 "> coordinate point y1 </param> /// <param name = "y2"> coordinate point y2 </param> /// <param name = "kvalue"> slope k value </param> /// <param name = "bvalue"> vertical intercept B value </param> private static void Calculate (float x1, float x2, float y1, float y2, ref float kvalue, ref float bvalue) // obtain the equation y = kx + B coefficient k, B {float coefficient = 1; // system value try {if (x1 = 0) | (x2 = 0) | (x1 = x2) return; // eliminate the case of zero and the case where calculation cannot be performed when x1 and x2 are equal // if (y1 = y2) return; // depending on the actual situation, the two values are equal. The result is a straight line float temp = 0; if (x1> = x2) {coefficient = (float) Math. round (x1/x2), _ decimaldigits); temp = y2 * coefficient; // multiply the corresponding function by the coefficient bvalue = (float) Math. round (temp-y1)/(coefficient-1), _ decimaldigits); kvalue = (float) Math. round (y1-bvalue)/x1), _ decimaldigits); // obtain the K value} else {coefficient = x2/x1; temp = y1 * coefficient; bvalue = (float) math. round (temp-y2)/(coefficient-1), _ decimaldigits); // obtain the value of B kvalue = (float) Math. round (y2-bvalue)/x2), _ decimaldigits); // obtain the K value} catch {Console. writeLine ("x coefficient cannot be 0 or equal");} static void Main (string [] args) {float x1 = 0; float y1 = 0; float x2 = 0; float y2 = 0; float kvalue = 0; float bvalue = 0; Console. writeLine ("calculating the slope of a straight line k and longitudinal intercept B"); Console. writeLine ("Enter the x1 value"); x1 = Convert. toSingle (Console. readLine (); Console. writeLine ("Enter y1 value"); y1 = Convert. toSingle (Console. readLine (); Console. writeLine ("Enter the x2 value"); x2 = Convert. toSingle (Console. readLine (); Console. writeLine ("Enter the y2 value"); y2 = Convert. toSingle (Console. readLine (); Calculate (x1, x2, y1, y2, ref kvalue, ref bvalue); Console. writeLine ("linear equation: y = {0} x + {1}", kvalue, bvalue); Console. readKey ();}}}

Running result: