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examples
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complex_numbers.js
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mathjs
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examples
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complex_numbers.js
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// complex numbers
// load math.js (using node.js)
var
math
=
require
(
'../index'
)
;
// 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
)
)
;
// -9.6541254768548 + 2.8416922956064i
// some operations will return a complex number depending on the arguments
print
(
math
.
sqrt
(
4
)
)
;
// 2
print
(
math
.
sqrt
(
-
4
)
)
;
// 2i
// create a complex number from polar coordinates
console
.
log
(
'create complex numbers with polar coordinates'
)
;
var
c
=
math
.
complex
(
{
r
:
math
.
sqrt
(
2
)
,
phi
:
math
.
pi
/
4
}
)
;
print
(
c
)
;
// 1 + i
// get polar coordinates of a complex number
var
d
=
math
.
complex
(
3
,
4
)
;
console
.
log
(
d
.
abs
(
)
,
d
.
arg
(
)
)
;
// radius = 5, phi = 0.9272952180016122
/**
* Helper function to output a value in the console. Value will be formatted.
*
@param
{
*
} value
*/
function
print
(
value
)
{
var
precision
=
14
;
console
.
log
(
math
.
format
(
value
,
precision
)
)
;
}
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