Dado un número complejo en forma de string str , la tarea es determinar el cuadrante del plano cartesiano en el que se encuentra este número complejo.
Ejemplos:
Entrada: str = “1 + 1i”
Salida: Cuadrante 1Entrada: str = “0 + 0i”
Salida: Origen
Acercarse:
La idea es encontrar primero las partes real e imaginaria de un número complejo. Digamos que el punto es (x, iy) , entonces la siguiente tabla ilustra la posición del punto con respecto a las coordenadas:
A continuación se muestra la implementación del enfoque anterior:
C++
// C++ program to determine the quadrant
// of a complex number
#include <bits/stdc++.h>
using namespace std;
// Function to determine the quadrant
// of a complex number
void quadrant(string s)
{
int l = s.length();
int i;
// Storing the index of '+'
if (s.find('+') < l) {
i = s.find('+');
}
// Storing the index of '-'
else {
i = s.find('-');
}
// Finding the real part
// of the complex number
string real = s.substr(0, i);
// Finding the imaginary part
// of the complex number
string imaginary = s.substr(i + 1, l - 1);
int x = stoi(real);
int y = stoi(imaginary);
if (x > 0 and y > 0)
cout << "Quadrant 1";
else if (x < 0 and y > 0)
cout << "Quadrant 2";
else if (x < 0 and y < 0)
cout << "Quadrant 3";
else if (x > 0 and y < 0)
cout << "Quadrant 4";
else if (x == 0 and y > 0)
cout << "Lies on positive"
<< " Imaginary axis";
else if (x == 0 and y < 0)
cout << "Lies on negative"
<< " Imaginary axis";
else if (y == 0 and x < 0)
cout << "Lies on negative"
<< " X-axis";
else if (y == 0 and x > 0)
cout << "Lies on positive"
<< " X-axis";
else
cout << "Lies on the Origin";
}
// Driver code
int main()
{
string s = "5+3i";
quadrant(s);
return 0;
}
Java
// Java program to determine the quadrant
// of a complex number
import java.util.*;
class GFG{
// Function to determine the quadrant
// of a complex number
static void quadrant(String s)
{
int l = s.length();
int i;
// Storing the index of '+'
if (s.contains("+")) {
i = s.indexOf('+');
}
// Storing the index of '-'
else {
i = s.indexOf('-');
}
// Finding the real part
// of the complex number
String real = s.substring(0, i);
// Finding the imaginary part
// of the complex number
String imaginary = s.substring(i + 1, l - 1);
int x = Integer.valueOf(real);
int y = Integer.valueOf(imaginary);
if (x > 0 && y > 0)
System.out.print("Quadrant 1");
else if (x < 0 && y > 0)
System.out.print("Quadrant 2");
else if (x < 0 && y < 0)
System.out.print("Quadrant 3");
else if (x > 0 && y < 0)
System.out.print("Quadrant 4");
else if (x == 0 && y > 0)
System.out.print("Lies on positive"
+ " Imaginary axis");
else if (x == 0 && y < 0)
System.out.print("Lies on negative"
+ " Imaginary axis");
else if (y == 0 && x < 0)
System.out.print("Lies on negative"
+ " X-axis");
else if (y == 0 && x > 0)
System.out.print("Lies on positive"
+ " X-axis");
else
System.out.print("Lies on the Origin");
}
// Driver code
public static void main(String[] args)
{
String s = "5+3i";
quadrant(s);
}
}
// This code is contributed by Rajput-Ji
Python3
# Python 3 program to determine the quadrant
# of a complex number
# Function to determine the quadrant
# of a complex number
def quadrant(s):
l = len(s)
# Storing the index of '+'
if ('+' in s):
i = s.index('+')
# Storing the index of '-'
else:
i = s.index('-')
# Finding the real part
# of the complex number
real = s[0:i]
# Finding the imaginary part
# of the complex number
imaginary = s[i + 1:l - 1]
x = int(real)
y = int(imaginary)
if (x > 0 and y > 0):
print("Quadrant 1")
elif(x < 0 and y > 0):
print("Quadrant 2")
elif (x < 0 and y < 0):
print("Quadrant 3")
elif (x > 0 and y < 0):
print("Quadrant 4")
elif (x == 0 and y > 0):
print("Lies on positive","Imaginary axis")
elif (x == 0 and y < 0):
print("Lies on negative","Imaginary axis")
elif (y == 0 and x < 0):
print("Lies on negative","X-axis")
elif (y == 0 and x > 0):
print("Lies on positive","X-axis")
else:
print("Lies on the Origin")
# Driver code
if __name__ == '__main__':
s = "5+3i"
quadrant(s)
# This code is contributed by Surendra_Gangwar
C#
// C# program to determine the quadrant
// of a complex number
using System;
class GFG{
// Function to determine the quadrant
// of a complex number
static void quadrant(String s)
{
int l = s.Length;
int i;
// Storing the index of '+'
if (s.Contains("+")) {
i = s.IndexOf('+');
}
// Storing the index of '-'
else {
i = s.IndexOf('-');
}
// Finding the real part
// of the complex number
String real = s.Substring(0, i);
// Finding the imaginary part
// of the complex number
String imaginary = s.Substring(i + 1, l - 2 - i);
int x = Int32.Parse(real);
int y = Int32.Parse(imaginary);
if (x > 0 && y > 0)
Console.Write("Quadrant 1");
else if (x < 0 && y > 0)
Console.Write("Quadrant 2");
else if (x < 0 && y < 0)
Console.Write("Quadrant 3");
else if (x > 0 && y < 0)
Console.Write("Quadrant 4");
else if (x == 0 && y > 0)
Console.Write("Lies on positive"
+ " Imaginary axis");
else if (x == 0 && y < 0)
Console.Write("Lies on negative"
+ " Imaginary axis");
else if (y == 0 && x < 0)
Console.Write("Lies on negative"
+ " X-axis");
else if (y == 0 && x > 0)
Console.Write("Lies on positive"
+ " X-axis");
else
Console.Write("Lies on the Origin");
}
// Driver code
public static void Main(String[] args)
{
String s = "5+3i";
quadrant(s);
}
}
// This code is contributed by sapnasingh4991
Javascript
<script>
// Javascript program
// Function to determine the quadrant
// of a complex number
function quadrant(s)
{
var l = s.length;
var i =0 ;
// Storing the index of '+'
if (s.indexOf("+") != -1) {
i = s.indexOf("+");
}
// Storing the index of '-'
else {
i = s.indexOf("-");
}
// Finding the real part
// of the complex number
var real = s.substr(0, i);
// Finding the imaginary part
// of the complex number
var imaginary = s.substr(i + 1, l - 1);
var x = parseInt(real);
var y = parseInt(imaginary);
if (x > 0 && y > 0)
document.write("Quadrant 1");
else if (x < 0 && y > 0)
document.write("Quadrant 2");
else if (x < 0 && y < 0)
document.write( "Quadrant 3");
else if (x > 0 && y < 0)
document.write( "Quadrant 4");
else if (x == 0 && y > 0)
document.write( "Lies on positive"+" Imaginary axis");
else if (x == 0 && y < 0)
document.write( "Lies on negative"+" Imaginary axis");
else if (y == 0 && x < 0)
document.write( "Lies on negative"+" X-axis");
else if (y == 0 && x > 0)
document.write( "Lies on positive"+" X-axis");
else
document.write( "Lies on the Origin");
}
var s = "5+3i";
quadrant(s);
</script>
Producción:
Quadrant 1