检查两点(x1，y1)和(x2，y2)是否位于给定直线的同一侧
原文:https://www . geesforgeks . org/check-two-point-x1-y1-和-x2-y2-同侧躺在给定线路上-或-否/
给定三个整数 a 、 b 和 c ，表示一条直线的方程的系数a * x+b * y–c = 0。给定两个整数点 (x1，y1) 和 (x2，y2) 。任务是确定点 (x1，y1) 和 (x2，y2) 是否位于给定直线的同一侧。 举例:
输入: a = 1，b = 1，c = 1，x1 = 1，y1 = 1，x2 = 1，y2 = 2 输出:是 在 a * x+b * y–c 上应用(x1，y1)和(x2，y2)时，分别给出 1 和 2，这两个点具有相同的符号，因此这两个点位于直线的同一侧。 输入: a = 1，b = 1，c = 1，x1 = 1，y1 = 1，x2 = 0，y2 = 0 输出:否
方法:应用给定线方程上的两个点，检查获得的值是否属于相同的奇偶性。 以下是上述办法的实施情况:
C++
// C++ program to check if two points
// lie on the same side or not
#include <bits/stdc++.h>
using namespace std;
// Function to check if two points
// lie on the same side or not
bool pointsAreOnSameSideOfLine(int a, int b, int c,
int x1, int y1, int x2, int y2)
{
int fx1; // Variable to store a * x1 + b * y1 - c
int fx2; // Variable to store a * x2 + b * y2 - c
fx1 = a * x1 + b * y1 - c;
fx2 = a * x2 + b * y2 - c;
// If fx1 and fx2 have same sign
if ((fx1 * fx2) > 0)
return true;
return false;
}
// Driver code
int main()
{
int a = 1, b = 1, c = 1;
int x1 = 1, y1 = 1;
int x2 = 2, y2 = 1;
if (pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2))
cout << "Yes";
else
cout << "No";
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to check if two points
// lie on the same side or not
import java.util.*;
class GFG
{
// Function to check if two points
// lie on the same side or not
static boolean pointsAreOnSameSideOfLine(int a, int b,
int c, int x1,
int y1, int x2,
int y2)
{
int fx1; // Variable to store a * x1 + b * y1 - c
int fx2; // Variable to store a * x2 + b * y2 - c
fx1 = a * x1 + b * y1 - c;
fx2 = a * x2 + b * y2 - c;
// If fx1 and fx2 have same sign
if ((fx1 * fx2) > 0)
return true;
return false;
}
// Driver code
public static void main(String[] args)
{
int a = 1, b = 1, c = 1;
int x1 = 1, y1 = 1;
int x2 = 2, y2 = 1;
if (pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2))
System.out.println("Yes");
else
System.out.println("No");
}
}
// This code is contributed by 29AjayKumar
Python 3
# Python3 program to check if two points
# lie on the same side or not
# Function to check if two points
# lie on the same side or not
def pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2):
fx1 = 0 # Variable to store a * x1 + b * y1 - c
fx2 = 0 # Variable to store a * x2 + b * y2 - c
fx1 = a * x1 + b * y1 - c
fx2 = a * x2 + b * y2 - c
# If fx1 and fx2 have same sign
if ((fx1 * fx2) > 0):
return True
return False
# Driver code
a, b, c = 1, 1, 1
x1, y1 = 1, 1
x2, y2 = 2, 1
if (pointsAreOnSameSideOfLine(a, b, c,
x1, y1, x2, y2)):
print("Yes")
else:
print("No")
# This code is contributed by Mohit Kumar
C
// C# program to check if two points
// lie on the same side or not
using System;
class GFG
{
// Function to check if two points
// lie on the same side or not
static bool pointsAreOnSameSideOfLine(int a, int b,
int c, int x1,
int y1, int x2,
int y2)
{
int fx1; // Variable to store a * x1 + b * y1 - c
int fx2; // Variable to store a * x2 + b * y2 - c
fx1 = a * x1 + b * y1 - c;
fx2 = a * x2 + b * y2 - c;
// If fx1 and fx2 have same sign
if ((fx1 * fx2) > 0)
return true;
return false;
}
// Driver code
public static void Main()
{
int a = 1, b = 1, c = 1;
int x1 = 1, y1 = 1;
int x2 = 2, y2 = 1;
if (pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2))
Console.WriteLine("Yes");
else
Console.WriteLine("No");
}
}
// This code is contributed by Code_Mech
java 描述语言
<script>
// Javascript program to check if two points
// lie on the same side or not
// Function to check if two points
// lie on the same side or not
function pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2)
{
let fx1; // Variable to store a * x1 + b * y1 - c
let fx2; // Variable to store a * x2 + b * y2 - c
fx1 = a * x1 + b * y1 - c;
fx2 = a * x2 + b * y2 - c;
// If fx1 and fx2 have same sign
if ((fx1 * fx2) > 0)
return true;
return false;
}
let a = 1, b = 1, c = 1;
let x1 = 1, y1 = 1;
let x2 = 2, y2 = 1;
if (pointsAreOnSameSideOfLine(a, b, c, x1, y1, x2, y2))
document.write("Yes");
else
document.write("No");
// This code is contributed by divyesh072019.
</script>
Output:
Yes
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