Scilab has built-in support for complex numbers. You can define them directly using the %i constant, which represents the imaginary unit (√-1). Alternatively, you can use the complex() function.

This is the most common and straightforward method.

Example:

// Define a complex number z = 3 + 4i
 z = 3 + 4*%i
 

 // Display the complex number
 disp(z)
 

 //Another Example
 z1 = 1 - 2*%i;
 disp(z1)
 

Explanation:

• %i represents the imaginary unit (√-1).
• You can perform arithmetic operations directly with complex numbers defined in this way.

The complex() function takes the real and imaginary parts as arguments.

Example:

// Define a complex number z = 3 + 4i
 z = complex(3, 4)
 

 // Display the complex number
 disp(z)
 

 //Another Example
 z1 = complex(1, -2);
 disp(z1)
 

Explanation:

• complex(real_part, imaginary_part) creates a complex number.

// Define complex numbers using both methods
 z1 = 3 + 4*%i;
 z2 = complex(1, -2);
 

 // Display the complex numbers
 disp("z1 = " + string(z1))
 disp("z2 = " + string(z2))
 

 // Perform arithmetic operations
 sum_z = z1 + z2;
 difference_z = z1 - z2;
 product_z = z1 * z2;
 quotient_z = z1 / z2;
 

 // Display the results
 disp("Sum: " + string(sum_z))
 disp("Difference: " + string(difference_z))
 disp("Product: " + string(product_z))
 disp("Quotient: " + string(quotient_z))
 

 // Access real and imaginary parts
 real_part_z1 = real(z1);
 imag_part_z1 = imag(z1);
 

 disp("Real part of z1: " + string(real_part_z1))
 disp("Imaginary part of z1: " + string(imag_part_z1))
 

 // Calculate the magnitude (absolute value)
 magnitude_z1 = abs(z1);
 disp("Magnitude of z1: " + string(magnitude_z1))
 

 // Calculate the angle (argument) in radians
 angle_z1 = arg(z1);
 disp("Angle of z1 (radians): " + string(angle_z1))
 

 // Calculate the angle (argument) in degrees
 angle_degrees_z1 = arg(z1) * 180 / %pi;
 disp("Angle of z1 (degrees): " + string(angle_degrees_z1))
 

 //Complex conjugate
 conjugate_z1 = conj(z1);
 disp("Complex conjugate of z1: " + string(conjugate_z1))
 

 

• Scilab automatically handles complex number arithmetic.
• Functions like real(), imag(), abs(), arg(), and conj() are available for working with complex numbers.
• %pi is Scilab's built-in constant for π (pi).