// complex numbers

// create an instance of math.js
var math = require('../index')();

/**
 * Helper function to output a value in the console. Value will be formatted.
 * @param {*} value
 */
function print (value) {
  var precision = 5;
  console.log(math.format(value, precision));
}

// create a complex number with a numeric real and complex part
console.log('create and manipulate complex numbers');
var a = math.complex(2, 3);
print(a);                       // 2 + 3i

// read the real and complex parts of the complex number
print(a.re);                    // 2
print(a.im);                    // 3

// clone a complex value
var clone = a.clone();
print(clone);                   // 2 + 3i

// adjust the complex value
a.re = 5;
print(a);                       // 5 + 3i

// create a complex number by providing a string with real and complex parts
var b = math.complex('3 - 7i');
print(b);                       // 3 - 7i
console.log();

// perform operations with complex numbers
console.log('perform operations');
print(math.add(a, b));          // 8 - 4i
print(math.multiply(a, b));     // 36 - 26i
print(math.sin(a));             // -9.6541 + 2.8417i

// some operations will return a complex number depending on the arguments
print(math.sqrt(4));           // 2
print(math.sqrt(-4));          // 2i