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compute.io
Advanced tools
Computation library.
$ npm install compute.io
To use compute,
var compute = require( 'compute.io' );
The compute module is comprised of several smaller modules. If you want to roll your own compute, follow the links and import the individual modules.
The compute module has the following methods...
Evaluates a polynomial whose coefficients are defined by coef
. x
may be either a single numeric
value or an array
of values at which to evaluate to the polynomial.
var coef = [ 4, 2, 6, -17 ];
var vals = compute.polyval( coef, [ 10, -3] );
// returns [ 4243, -125 ]
For object arrays
, provide an accessor function
for accessing array
values.
var coefs = [ 4, 2, 6, -17 ];
var data = [
['beep', 10],
['boop', -3]
];
function getValue( d, i ) {
return d[ 1 ];
}
var vals = compute.polyval( coefs, data, {
'accessor': getValue
});
// returns [ 4243, -125 ]
For additional options
, see compute-polynomial.
Finds array
elements which satisfy a test condition.
var arr = [ 2, 1, 3, 4 ];
var opts = {
'k': -2,
'returns': '*'
};
function condition( val ) {
return val < 4;
}
var results = compute.find( arr, opts, condition );
// returns [ [2,3], [1,1] ]
For further documentation, see the compute-find module.
Computes array
dimensions, including nested arrays
.
var data, d;
data = [ 1, 2 ];
d = compute.dims( data );
// returns [2]
data = [ [1,2], [1,2] ];
d = compute.dims( data );
// returns [2,2]
To limit the number of dimensions returned, set the max
option.
Returns a boolean
indicating if an input array
is sorted.
var bool = compute.issorted( [ 2, 3, 5, 4 ] );
// returns false
By default, the method assumes ascending order. To impose an arbitrary sort order, provide a comparator
function.
function descending( a, b ) {
return b - a;
}
var bool = compute.issorted( [ 5, 4, 3, 2 ], descending );
// returns true
Flattens an array
.
var arr = [ 1, [2, [3, [4, [ 5 ], 6], 7], 8], 9 ];
var out = compute.flatten( arr );
// returns [ 1, 2, 3, 4, 5, 6, 7, 8, 9 ]
For method options
, such as limiting depth, deep copying, and function generation, see compute-flatten.
Generates a linearly spaced numeric array
. If a length
is not provided, the default output array
length is 100
.
var arr = compute.linspace( 0, 100, 6 );
// returns [ 0, 20, 40, 60, 80, 100 ]
Generates a linearly spaced numeric array
. If an increment
is not provided, the default increment
is 1
.
var arr = compute.incrspace( 0, 11, 2 );
// returns [ 0, 2, 4, 6, 8, 10 ]
Generates a linearly spaced index array
from a subsequence string
. len
specifies the output index array
length.
var arr = compute.indexspace( ':', 5 );
// returns [ 0, 1, 2, 3, 4 ]
arr = compute.indexspace( '2:', 5 );
// returns [ 2, 3, 4 ]
arr = compute.indexspace( '1:4:2', 5 );
// returns [ 1, 3 ]
arr = compute.indexspace( '-3:', 5 );
// returns [ 2, 3, 4 ];
arr = compute.indexspace( ':-2', 5 );
// returns [ 0, 1, 2 ]
arr = compute.indexspace( ':', 0 );
// returns []
The subsequence string
syntax is similar to Python's slice notation.
var str = '<start>:<stop>:<increment>';
The method also recognizes the end
keyword, which refers to the last index; i.e., len-1
. If specified as the stop
index, end
is inclusive and equivalent to <start>::<increment>
.
arr = compute.indexspace( 'end::-1', 5 );
// returns [ 4, 3, 2, 1, 0 ]
arr = compute.indexspace( ':end', 5 );
// returns [ 0, 1, 2, 3, 4 ]
Basic arithmetic (subtraction and division) may be performed on the end
keyword. The result from division is rounded up to the next integer.
arr = compute.indexspace( 'end-2::-1', 5 );
// returns [ 2, 1, 0 ];
arr = compute.indexspace( ':end/2', 5 );
// returns [ 0, 1 ]
For further details about syntax and additional examples, see compute-indexspace.
Generates a logarithmically spaced numeric array
. If a length
is not provided, the default output array
length is 10
.
var arr = compute.logspace( 0, 2, 6 );
// returns [ 1, ~2.5, ~6.31, ~15.85, ~39.81, 100 ]
Generates an array
of linearly spaced Date
objects. If a length
is not provided, the default output array
length is 100
.
var stop = '2014-12-02T07:00:54.973Z',
start = new Date( stop ) - 60000;
var arr = compute.datespace( start, stop, 6 );
/* returns [
'Mon Dec 01 2014 22:59:54 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:06 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:18 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:30 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:42 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:54 GMT-0800 (PST)'
]
*/
For function options
, see the compute-datespace module.
Generates an array
of linearly spaced Date
objects. If an increment
is not provided, the default increment
is day
.
var stop = '2014-12-02T07:00:54.973Z',
start = new Date( stop ) - 60000;
var arr = compute.incrdatespace( start, stop, '8sec' );
/* returns [
'Mon Dec 01 2014 22:59:54 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:06 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:18 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:30 GMT-0800 (PST)',
'Mon Dec 01 2014 23:00:42 GMT-0800 (PST)'
]
*/
For function options
, see the compute-incrdatespace module.
Returns an array
of arrays
, where the ith element (tuple) in the returned array
contains the ith elements of the input arrays
.
var zipped = compute.zip( [1,2], ['a','b'] );
// returns [ [1,'a'], [2,'b'] ]
For function options
, see the compute-zip module.
Unzips a zipped array (i.e., a nested array
of tuples).
var arr = [ [1,'a',3], [2,'b',4] ];
var out = compute.unzip( arr );
// returns [ [1,2], ['a','b'], [3,4] ];
To unzip specific tuple elements, you can provide an array
of indices as an optional second argument.
var arr = [ [1,'a',3], [2,'b',4] ];
var out = compute.unzip( arr, [0,2] );
// returns [ [1,2], [3,4] ];
Reverses an array
.
var arr = [ 1, 2, 3, 4 ];
var out = compute.reverse( arr );
// returns [ 4, 3, 2, 1 ]
By default, the input array
is mutated. To return a new array
, set the copy
option to true
.
var arr = [ 1, 2, 3, 4 ];
var out = compute.reverse( arr, {
'copy': true
});
// returns [ 4, 3, 2, 1 ];
console.log( arr === out );
// returns false
Generates a random permutation of (shuffles) an array
in place.
var arr = [ 1, 2, 3, 4 ];
compute.shuffle( arr );
Note: the array
is mutated.
Circularly shifts elements/characters. x
may be an array
or a string
. k
is an integer
specifying the number of positions to shift. The sign of k
specifies the shift direction.
compute.circshift( [1,2,3,4,5], 2 );
// returns [4,5,1,2,3]
var str = compute.circshift( 'beepboop', -3 );
// returns 'pboopbee'
Note: if provided an array
, the array
, is mutated.
Computes an element-wise absolute value for each element of a numeric array
.
var data = [ 2, -4, 2, -7, 3 ];
compute.abs( data );
Note: mutates the input array
.
Computes an element-wise principal square root for each element of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
compute.sqrt( data );
Note: mutates the input array
.
Evaluates the signum function, where x
may be a single numeric
value or a numeric array
.
var sgn = compute.signum( -10 );
// returns -1
var sgns = compute.signum( [ -10, -1, -0, 0, 1, 10 ] );
// returns [ -1, -1, -0, 0, 1, 1 ]
For object arrays
, provide an accessor function
for accessing numeric
values.
var data = [
[1,-10],
[2,-1],
[3,-0],
[4,0],
[5,1],
[6,10]
];
function getValue( d, i ) {
return d[ 1 ];
}
var sgns = compute.signum( data, {
'accessor': getValue
});
// returns [ -1, -1, -0, 0, 1, 1 ]
For additional options
, see compute-signum.
Evaluates the error function, where x
may be a single numeric
value or a numeric array
.
var data = [ -10, -1, 0, 1, 10 ];
var x = compute.erf( data );
Evaluates the complementary error function, where x
may be a single numeric
value or a numeric array
.
var data = [ -10, -1, 0, 1, 10 ];
var x = compute.erfc( data );
Evaluates the inverse error function, where x
may be a single numeric
value or a numeric array
.
var data = [ -1, -0.5, 0, 0.5, 1 ];
var x = compute.erfinv( data );
Evaluates the inverse complementary error function, where x
may be a single numeric
value or a numeric array
.
var data = [ 0, 0.5, 1, 1.5, 2 ];
var x = compute.erfcinv( data );
Computes an element-wise addition of a numeric array
, where x
may be an array
of equal length or a numeric
value.
var data = [ 2, 4, 2, 7, 3 ];
compute.add( data, 5.5 );
Note: mutates the input array
.
Computes an element-wise subtraction of a numeric array
, where x
may be an array
of equal length or a numeric
value.
var data = [ 2, 4, 2, 7, 3 ];
compute.subtract( data, 5.5 );
Note: mutates the input array
.
Computes an element-wise multiplication of a numeric array
, where x
may be an array
of equal length or a numeric
value.
var data = [ 2, 4, 2, 7, 3 ];
compute.multiply( data, 5.5 );
Note: mutates the input array
.
Computes an element-wise division of a numeric array
, where x
may be an array
of equal length or a numeric
value.
var data = [ 2, 4, 2, 7, 3 ];
compute.divide( data, 5.5 );
Note: mutates the input array
.
Rounds values to the nearest multiple of 10^n
. x
may be either a single numeric value or an array of values. n
must be an integer
.
compute.roundn( Math.PI, -2 );
// returns 3.14
var x = compute.roundn( 111, 2 );
// returns 100
var data = [ 2.342, 4.943, 2.234, 7.992, 3.142 ];
compute.roundn( data, -2 );
// returns [...] where each value is rounded to nearest hundredth
Note: if provided an array
, the array
is mutated.
Calculates the differences between adjacent elements in an array
.
var arr = [ 2, 1, 3, 4 ];
var diff = compute.diff( arr );
// returns [ 1, -2, -1 ]
Note: the length of the returned array
is one less than the length of the original array
.
Computes an element-wise comparison (equality) of an array
, where x
may either be an array
of equal length or a single value (of any type).
The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is equal to a compared value and 0
means that an element is not equal to a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.eq( data, 3 );
// returns [ 0, 0, 0, 0, 1 ]
out = compute.eq( data, [ 3, 4, 1, 7, 4 ] );
// returns [ 0, 1, 0, 1, 0 ]
For function options
, see compute-eq.
Computes an element-wise comparison (not equal) of an array
, where x
may either be an array
of equal length or a single value (of any type).
The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is not equal to a compared value and 0
means that an element is equal to a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.neq( data, 3 );
// returns [ 1, 1, 1, 1, 0 ]
out = compute.neq( data, [ 3, 4, 1, 7, 4 ] );
// returns [ 1, 0, 1, 0, 1 ]
For function options
, see compute-neq.
Computes an element-wise comparison (greater than) for each input array
element. x
may either be an array
of equal length or a single value (number
or string
).
The function returns an array
with a length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is greater than a compared value and 0
means that an element is not greater than a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.gt( data, 3.14 );
// returns [ 0, 1, 0, 1, 0 ]
out = compute.gt( data, [3, 5, 1, 4, 4 ] );
// returns [ 0, 0, 1, 1, 0 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
function getValue( d, i ) {
return d[ 1 ];
}
var out = compute.gt( data, 4, {
'accessor': getValue
});
// returns [ 1, 0, 1, 0, 0 ]
When comparing values between two object arrays
, provide an accessor function
which accepts 3
arguments.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
var arr = [
{'x': 4},
{'x': 5},
{'x': 6},
{'x': 5},
{'x': 3}
];
function getValue( d, i, j ) {
if ( j === 0 ) {
return d[ 1 ];
}
return d.x;
}
var out = compute.gt( data, arr, {
'accessor': getValue
});
// returns [ 1, 0, 1, 0, 0 ]
For additional options
, see compute-gt.
Computes an element-wise comparison (greater than or equal to) for each input array
element. x
may either be an array
of equal length or a single value (number
or string
).
The function returns an array
with a length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is greater than or equal to a compared value and 0
means that an element is not greater than or equal to a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.geq( data, 3.14 );
// returns [ 0, 1, 0, 1, 0 ]
out = compute.geq( data, [3, 5, 1, 7, 4 ] );
// returns [ 0, 0, 1, 1, 0 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
function getValue( d, i ) {
return d[ 1 ];
}
var out = compute.geq( data, 3, {
'accessor': getValue
});
// returns [ 1, 1, 1, 1, 0 ]
When comparing values between two object arrays
, provide an accessor function
which accepts 3
arguments.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
var arr = [
{'x': 4},
{'x': 3},
{'x': 6},
{'x': 5},
{'x': 3}
];
function getValue( d, i, j ) {
if ( j === 0 ) {
return d[ 1 ];
}
return d.x;
}
var out = compute.geq( data, arr, {
'accessor': getValue
});
// returns [ 1, 1, 1, 0, 0 ]
For additional options
, see compute-geq.
Computes an element-wise comparison (less than) for each input array
element. x
may either be an array
of equal length or a single value (number
or string
).
The function returns an array
with a length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is less than a compared value and 0
means that an element is not less than a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.lt( data, 3.14 );
// returns [ 1, 0, 1, 0, 1 ]
out = compute.lt( data, [3, 5, 1, 4, 4 ] );
// returns [ 1, 1, 0, 0, 1 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
['beep', 2],
['boop', 4],
['bip', 2],
['bap', 7],
['baz', 3]
];
function getValue( d, i ) {
return d[ 1 ];
}
var out = compute.lt( data, 3.14, {
'accessor': getValue
});
// returns [ 1, 0, 1, 0, 1 ]
When comparing values between two object arrays
, provide an accessor function
which accepts 3
arguments.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
var arr = [
{'x': 4},
{'x': 5},
{'x': 6},
{'x': 5},
{'x': 3}
];
function getValue( d, i, j ) {
if ( j === 0 ) {
return d[ 1 ];
}
return d.x;
}
var out = compute.lt( data, arr, {
'accessor': getValue
});
// returns [ 0, 1, 0, 1, 1 ]
For additional options
, see compute-lt.
Computes an element-wise comparison (less than or equal to) for each input array
element. x
may either be an array
of equal length or a single value (number
or string
).
The function returns an array
with a length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is less than or equal to a compared value and 0
means that an element is not less than or equal to a compared value.
var data = [ 2, 4, 2, 7, 3 ],
out;
out = compute.leq( data, 3.14 );
// returns [ 1, 0, 1, 0, 1 ]
out = compute.leq( data, [3, 5, 1, 7, 4 ] );
// returns [ 1, 1, 0, 1, 1 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
function getValue( d, i ) {
return d[ 1 ];
}
var out = compute.leq( data, 3, {
'accessor': getValue
});
// returns [ 0, 1, 0, 1, 1 ]
When comparing values between two object arrays
, provide an accessor function
which accepts 3
arguments.
var data = [
['beep', 5],
['boop', 3],
['bip', 8],
['bap', 3],
['baz', 2]
];
var arr = [
{'x': 4},
{'x': 3},
{'x': 6},
{'x': 5},
{'x': 3}
];
function getValue( d, i, j ) {
if ( j === 0 ) {
return d[ 1 ];
}
return d.x;
}
var out = compute.leq( data, arr, {
'accessor': getValue
});
// returns [ 0, 1, 0, 1, 1 ]
For additional options
, see compute-leq.
Computes for each array
element whether an element is numeric. The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is numeric and 0
means that an element is not numeric.
var out = compute.isnumeric( [ 2, '3', 5, 4, null, NaN ] );
// returns [ 1, 0, 1, 1, 0, 0 ]
Computes for each array
element whether an element is NaN
. The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is NaN
and 0
means that an element is not NaN
.
var out = compute.isnan( [ 2, '3', 5, 4, null ] );
// returns [ 0, 1, 0, 0, 1 ]
Computes for each array
element whether an element is a finite number
. The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is a finite number
and 0
means that an element is not a finite number
.
var out = compute.isfinite( [ 2, 1/0, 'beep', 5, 4, -1/0, null, NaN ] );
// returns [ 1, 0, 0, 1, 1, 0, 0, 0 ]
Computes for each array
element whether an element is an integer
. The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is an integer
and 0
means that an element is not an integer
.
var out = compute.isinteger( [ 2, 1/0, 'beep', 0, -4, 3.14, null, NaN ] );
// returns [ 1, 0, 0, 1, 1, 0, 0, 0 ]
Computes for each array
element whether an element is infinite. The function returns an array
with length equal to that of the input array
. Each output array
element is either 0
or 1
. A value of 1
means that an element is infinite and 0
means that an element is not infinite.
var out = compute.isinf( [ 2, 1/0, 'beep', 5, 4, -1/0 ] );
// returns [ 0, 1, 0, 0, 0, 1 ]
Converts degrees to radians, where x
may be a single numeric
value or a numeric array
.
var val = compute.deg2rad( 90 );
// returns pi/2
var data = [ 0, 45, 90, 135, 180 ];
compute.deg2rad( data );
// returns [ 0, pi/4, pi/2, 3pi/4, pi ]
Note: mutates the input array
.
Converts radians to degrees, where x
may be a single numeric
value or a numeric array
.
var val = compute.rad2deg( Math.PI/2 );
// returns 90
var data = [ 0, Math.PI/4, Math.PI/2, 3*Math.PI/4, Math.PI ];
compute.rad2deg( data );
// returns [ 0, 45, 90, 135, 180 ]
Note: mutates the input array
.
Computes the hypotenuse of a right triangle.
var a = 10,
b = 12;
var c = compute.hypot( a, b );
Removes duplicate values to determine the subset containing all unique values of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
compute.unique( data );
If the input array
is already sorted in ascending order, set the sorted
flag to true
.
Note: mutates the input array
.
Computes the greatest common divisor (gcd) of two or more integers
.
var val = compute.gcd( [48, 18] );
// returns 6
For object arrays
, provide an accessor function
for accessing array
values
var data = [
{'x':48},
{'x':18},
{'x':30}
];
function getValue( d, i ) {
return d.x;
}
var val = compute.gcd( data, getValue );
// returns 6
If provided an array
with a length less than 2
, the method returns null
.
Note: the method also provides a variadic interface. See compute-gcd for additional details.
Computes the least common multiple (lcm) of two or more integers
.
var val = compute.lcm( [21, 6] );
// returns 42
For object arrays
, provide an accessor function
for accessing array
values
var data = [
{'x':8},
{'x':12},
{'x':16}
];
function getValue( d, i ) {
return d.x;
}
var val = compute.lcm( data, getValue );
// returns 48
If provided an array
with a length less than 2
, the method returns null
.
Note: the method also provides a variadic interface. See compute-lcm for additional details.
Computes the L1 norm (Manhattan/Taxicab norm) of an array
of values.
var data = [ 2, 4, 2, 7, 3 ];
var norm = compute.l1norm( data );
Computes the L2 norm (Euclidean norm) of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var norm = compute.l2norm( data );
// returns ~9.06
For object arrays
, provide an accessor function
for accessing numeric
values.
var data = [
{'x':2},
{'x':4},
{'x':2},
{'x':7},
{'x':3}
];
function getValue( d, i ) {
return d.x;
}
var norm = compute.l2norm( data, getValue );
// returns ~9.06
If provided an empty array
, the method returns null
.
Computes the infinity norm (Chebyshev/maximum/supremum/uniform norm) of an array
of values.
var data = [ 2, 4, 2, -7, 3 ];
var norm = compute.linfnorm( data );
Computes the Lp norm of an array
of values.
var data = [ 2, 4, 2, 7, 3 ];
// Compute the L5 norm:
var norm = compute.lpnorm( data, 5 );
Computes the dot product between two arrays
of equal length.
var val = compute.dot( [1,2,3], [4,5,6] );
// returns 32
For object arrays, provide an accessor function
for accessing numeric
values.
function getValue( d, i, j ) {
if ( j === 0 ) {
return d.x;
}
return d;
}
var x = [
{'x':1},
{'x':2},
{'x':3}
];
var y = [ 4, 5, 6 ];
var val = compute.dot( x, y, getValue );
// returns 32
If provided empty arrays
, the method returns null
.
Computes the cross product between two arrays
of length 3
.
var val = compute.cross( [1,2,3], [4,5,6] );
Computes the minimum value of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var min = compute.min( data );
// returns 2
Computes the minimum value of a numeric array
and returns the corresponding array
indices.
var data = [ 2, 4, 2, 7, 3 ];
var idx = compute.argmin( data );
// returns [0,2]
Computes the minimum value of an array
ignoring non-numeric values.
var data = [ null, 2, 4, 2, null, 7, 3 ];
var min = compute.nanmin( data );
// returns 2
Computes the minimum value of an array
ignoring non-numeric values and returns the corresponding array
indices.
var data = [ null, 2, 4, 2, null, 7, 3 ];
var idx = compute.argnanmin( data );
// returns [1,3]
Returns a method to compute a minimum value incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var min = compute.incrmin(),
m;
for ( var i = 0; i < data.length; i++ ) {
m = min( data[ i ] );
console.log( m );
}
console.log( min() );
Computes a moving minimum over a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.mmin( data, 2 );
Computes the cumulative minimum of a numeric array
.
var data = [ 7, 4, 2, 4, 3 ];
var arr = compute.cmin( data );
Computes the maximum value of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var max = compute.max( data );
// returns 7
Computes the maximum value of a numeric array
and returns the corresponding array
indices.
var data = [ 2, 4, 2, 7, 7, 3 ];
var idx = compute.argmax( data );
// returns [3,4]
Computes the maximum value of a numeric array
ignoring non-numeric values.
var data = [ -2, -4, null, -2, null, -7, -3 ];
var max = compute.nanmax( data );
// returns -2
Computes the maximum value of an array
ignoring non-numeric values and returns the corresponding array
indices.
var data = [ null, -2, -4, -2, null, -7, -3 ];
var idx = compute.argnanmax( data );
// returns [1,3]
Returns a method to compute a maximum value incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var max = compute.incrmax(),
m;
for ( var i = 0; i < data.length; i++ ) {
m = max( data[ i ] );
console.log( m );
}
console.log( max() );
Computes a moving maximum over a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.mmax( data, 2 );
Computes the cumulative maximum of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.cmax( data );
Computes the arithmetic range of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var range = compute.range( data );
// returns [2,7]
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,4],
[3,2],
[4,7],
[5,3]
];
function getValue( d ) {
return d[ 1 ];
}
var range = compute.range( data, getValue );
// returns [2,7]
Computes the arithmetic range of an array
ignoring non-numeric values.
var data = [ 2, null, 4, 2, NaN, 7, 3 ];
var range = compute.nanrange( data );
// returns [2,7]
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,null],
[3,4],
[5,2],
[6,NaN],
[7,7],
[8,3]
];
function getValue( d ) {
return d[ 1 ];
}
var range = compute.nanrange( data, getValue );
// returns [2,7]
Computes the sum of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var sum = compute.sum( data );
// returns 18
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,4],
[3,2],
[4,7],
[5,3]
];
function getValue( d ) {
return d[ 1 ];
}
var sum = compute.sum( data, getValue );
// returns 18
Computes the sum of an array
ignoring non-numeric values.
var data = [ 2, NaN, 4, 2, 7, NaN, 3 ];
var sum = compute.nansum( data );
// returns 18
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,NaN],
[3,4],
[4,2],
[5,7],
[6,NaN],
[7,3]
];
function getValue( d ) {
return d[ 1 ];
}
var sum = compute.nansum( data, getValue );
// returns 18
Returns a method to compute a sum incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var sum = compute.incrsum(),
s;
for ( var i = 0; i < data.length; i++ ) {
s = sum( data[ i ] );
console.log( s );
}
console.log( sum() );
Computes a moving sum over an array
.
var data = [ 2, 4, 2, 7, 3 ];
var values = compute.msum( data, 2 );
// returns [ 6, 6, 9, 10 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
{'x':2},
{'x':4},
{'x':2},
{'x':7},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var values = compute.msum( data, 2, {
'accessor': getValue
});
// returns [ 6, 6, 9, 10 ]
By default, a new array
is returned. To compute the sums in place, i.e., mutate the input array
, set the copy
option to false
.
var data = [
{'x':2},
{'x':4},
{'x':2},
{'x':7},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var values = compute.msum( data, 2, {
'accessor': getValue,
'copy': false
});
// returns [ 6, 6, 9, 10 ]
console.log( values === copy );
// returns true
Returns a method to compute a moving sum incrementally. window
sets the window size, i.e., the number of values over which to compute a moving sum.
var data = [ 2, 4, 2, 7, 3 ];
var msum = compute.incrmsum( 3 ),
sum;
for ( var i = 0; i < data.length; i++ ) {
sum = msum( data[ i ] );
console.log( sum );
}
console.log( msum() );
Computes the cumulative sum of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.csum( data );
Computes the product of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var prod = compute.prod( data );
// returns 336
For object arrays
, provide an accessor function
for accessing array
values
var data = [
{'x':2},
{'x':1},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var prod = compute.prod( data, getValue );
// returns 6
Computes the product of an array
ignoring any non-numeric values.
var data = [ 2, NaN, 4, 2, 7, NaN, 3 ];
var prod = compute.nanprod( data );
// returns 336
For object arrays
, provide an accessor function
for accessing array
values
var data = [
{'x':2},
{'x':NaN},
{'x':'beep'},
{'x':1},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var prod = compute.nanprod( data, getValue );
// returns 6
Computes a moving product over an array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.mprod( data, 2 );
// returns [ 8, 8, 14, 21 ]
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[2],
[1],
[3]
];
function getValue( d ) {
return d[ 0 ];
}
var arr = compute.mprod( data, 2, getValue );
// returns [ 2, 3 ]
Computes the cumulative product of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.cprod( data );
// returns [ 2, 8, 16, 112, 336 ]
For object arrays
, provide an accessor function
for accessing numeric array
values
var data = [
[1,2],
[2,1],
[3,3]
];
function getValue( d, i ) {
return d[ 1 ];
}
var arr = compute.cprod( data, {
'accessor': getValue
});
// returns [ 2, 2, 6 ]
By default, the method returns a new array
. To calculate the cumulative product in-place, set the copy
option to false
to mutate the input array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.cprod( data, {
'copy': false
});
// returns [ 2, 8, 16, 112, 336 ]
console.log( data === arr );
// returns true
Computes the arithmetic mean of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var mean = compute.mean( data );
Computes the arithmetic mean over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var mean = compute.nanmean( data );
Returns a method to compute an arithmetic mean incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var mean = compute.incrmean(),
mu;
for ( var i = 0; i < data.length; i++ ) {
mu = mean( data[ i ] );
console.log( mu );
}
console.log( mean() );
Computes a moving arithmetic mean (sliding window average) over an array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.mmean( data, 2 );
// returns [ 3, 3, 4.5, 5 ]
For object arrays
, provide an accessor function
for accessing array
values.
var data = [
{'x':2},
{'x':4},
{'x':2},
{'x':7},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var values = compute.mmean( data, 2, {
'accessor': getValue
});
// returns [ 3, 3, 4.5, 5 ]
By default, a new array
is returned. To compute the means in place, i.e., mutate the input array
, set the copy
option to false
.
var data = [
{'x':2},
{'x':4},
{'x':2},
{'x':7},
{'x':3}
];
function getValue( d ) {
return d.x;
}
var values = compute.mmean( data, 2, {
'accessor': getValue,
'copy': false
});
// returns [ 3, 3, 4.5, 5 ]
console.log( values === copy );
// returns true
Returns a method to compute a moving arithmetic mean incrementally. window
sets the window size, i.e., the number of values over which to compute a moving mean.
var data = [ 2, 4, 2, 7, 3 ];
var mmean = compute.incrmmean( 3 ),
mu;
for ( var i = 0; i < data.length; i++ ) {
mu = mmean( data[ i ] );
console.log( mu );
}
console.log( mmean() );
Computes a weighted mean of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ],
weights = [ 1, 2, 1, 4, 0 ];
var wmean = compute.wmean( data, weights );
Computes the geometric mean of an array
. For numeric arrays
,
var data = [ 2, 4, 2, 7, 3 ];
var gmean = compute.gmean( data );
// returns ~3.2
For non-numeric arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,4],
[3,2],
[4,7],
[5,3]
];
function getValue( d ) {
return d[ 1 ];
}
var gmean = compute.gmean( data, getValue );
// returns ~3.2
Computes the geometric mean over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var gmean = compute.nangmean( data );
Computes the harmonic mean of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var hmean = compute.hmean( data );
Computes the harmonic mean over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var hmean = compute.nanhmean( data );
Computes the quadratic mean (root mean square) of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var qmean = compute.qmean( data );
Computes the quadratic mean (root mean square) over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var qmean = compute.nanqmean( data );
Computes the variance of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var s2 = compute.variance( data );
// returns 4.3
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,4],
[3,2],
[4,7],
[5,3]
];
function getValue( d ) {
return d[ 1 ];
}
var s2 = compute.variance( data, {
'accessor': getValue
});
// returns 4.3
To compute the population variance (or a biased sample variance), set the bias
option to true
var data = [ 2, 4, 2, 7, 3 ];
var value = compute.variance( data, {
'bias': true
});
// returns 3.44
Computes the sample variance over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var s2 = compute.nanvariance( data );
Returns a method to compute a sample variance incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var variance = compute.incrvariance(),
s2;
for ( var i = 0; i < data.length; i++ ) {
s2 = variance( data[ i ] );
console.log( s2 );
}
console.log( variance() );
Computes a moving (sliding window) sample variance over a numeric array
.
var data = [ 1, 5, 0, 10, 2 ];
var arr = compute.mvariance( data, 3 );
// returns [ 7, 25, 28 ]
Returns a method to compute a moving sample variance incrementally. window
sets the window size, i.e., the number of values over which to compute a moving sample variance.
var data = [ 2, 4, 2, 7, 3 ];
var mvariance = compute.incrmvariance( 3 ),
s2;
for ( var i = 0; i < data.length; i++ ) {
s2 = mvariance( data[ i ] );
console.log( s2 );
}
console.log( mvariance() );
Computes the sample standard deviation of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var stdev = compute.stdev( data );
Computes the sample standard deviation over an array
of values ignoring any non-numeric values.
var data = [ 2, 4, NaN, 2, 7, NaN, 3 ];
var stdev = compute.nanstdev( data );
Returns a method to compute a sample standard deviation incrementally.
var data = [ 2, 4, 2, 7, 3 ];
var stdev = compute.incrstdev(),
sigma;
for ( var i = 0; i < data.length; i++ ) {
sigma = stdev( data[ i ] );
console.log( sigma );
}
console.log( stdev() );
Computes a moving (sliding window) sample standard deviation over a numeric array
.
var data = [ 1, 5, 0, 10, 2 ];
var arr = compute.mstdev( data, 3 );
// returns [ ~2.6, 5, ~5.3 ]
Returns a method to compute a moving sample standard deviation incrementally. window
sets the window size, i.e., the number of values over which to compute a moving sample standard deviation.
var data = [ 2, 4, 2, 7, 3 ];
var mstdev = compute.incrmstdev( 3 ),
sigma;
for ( var i = 0; i < data.length; i++ ) {
sigma = mstdev( data[ i ] );
console.log( sigma );
}
console.log( mstdev() );
Computes the mode of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var mode = compute.mode( data );
Computes the median of an array
.
var data = [ 2, 4, 2, 7, 3 ];
var median = compute.median( data );
// returns 3
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var data = [ 2, 2, 3, 4, 7 ];
var median = compute.median( data, {
'sorted': true
});
// returns 3
For object arrays
, provide an accessor function
for accessing numeric array
values
var data = [
[1,2],
[2,4],
[3,2],
[4,7],
[5,3]
];
function getValue( d ) {
return d[ 1 ];
}
var median = compute.median( data, {
'accessor': getValue
});
// returns 3
Computes the median of an array
ignoring non-numeric values.
var data = [ 2, null, 4, 2, NaN, 7, 3 ];
var median = compute.nanmedian( data );
// returns 3
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var data = [ 2, null, 2, 3, NaN, 4, 7 ];
var median = compute.nanmedian( data, {
'sorted': true
});
// returns 3
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,null],
[3,4],
[4,2],
[5,NaN],
[6,7],
[7,3]
];
function getValue( d ) {
return d[ 1 ];
}
var median = compute.nanmedian( data, {
'accessor': getValue
});
// returns 3
Computes a quantile for a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var q = compute.quantile( data, 0.25 );
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var opts = {
'sorted': true
};
var data = [ 2, 2, 3, 4, 7 ];
var q = compute.quantile( data, 0.25, opts );
Computes quantiles for a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var arr = compute.quantiles( data, 3 );
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var opts = {
'sorted': true
};
var data = [ 2, 2, 3, 4, 7 ];
var arr = compute.quantiles( data, 2, opts );
Computes quantiles for an array
ignoring non-numeric values. num
specifies the number of quantiles to compute.
var data = [ 2, 4, null, 2, 7, NaN, 3 ];
var arr = compute.nanquantiles( data, 3 );
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var opts = {
'sorted': true
};
var data = [ 2, 2, null, 3, 4, NaN, 7 ];
var arr = compute.nanquantiles( data, 2, opts );
// returns [ 2, 3, 7 ]
For object arrays
, provide an accessor function
for accessing array
values
var data = [
[1,2],
[2,2],
[3,null],
[4,3],
[5,4],
[6,NaN],
[7,7]
];
function getValue( d ) {
return d[ 1 ];
}
var opts = {
'sorted': true,
'accessor': getValue
};
var arr = compute.nanquantiles( data, 2, opts );
// returns [2, 3, 7 ]
Computes the interquartile range of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var iqr = compute.iqr( data );
If the input array
is already sorted in ascending order, set the sorted
options flag to true
.
Computes the interdecile range of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var idr = compute.idr( data );
If the input array
is already sorted in ascending order, set the sorted
options flag to true
.
Computes the mid-range (mid-extreme) of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var mr = compute.midrange( data );
If the input array
is already sorted in ascending order, set the sorted
flag to true
.
Computes the midhinge of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var mh = compute.midhinge( data );
If the input array
is already sorted in ascending order, set the sorted
options flag to true
.
Computes the n% midsummary of a numeric array
. n
exists on the interval [0.0, 0.50]
and specifies the proportion of values to discard in the distribution tails.
var data = [ 2, 4, 2, 7, 3 ];
var ms = compute.midsummary( data, 0.25 );
If the input array
is already sorted in ascending order, set the sorted
options flag to true
.
Computes the midmean of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var mm = compute.midmean( data );
If the input array
is already sorted in ascending order, set the sorted
flag to true
.
Computes the lower midmean of a numeric array
.
var data = [ 2, 4, 2, 7, 3, 7, 5 ];
var lmm = compute.lmidmean( data );
If the input array
is already sorted in ascending order, set the sorted
flag to true
.
Computes the upper midmean of a numeric array
.
var data = [ 2, 4, 2, 7, 3, 7, 5 ];
var umm = compute.umidmean( data );
If the input array
is already sorted in ascending order, set the sorted
flag to true
.
Computes the truncated mean of an array
. The discard
parameter specifies how many values are excluded from both ends of the input array
when computing the statistic. discard
may either be expressed as a percentage on the interval [0,0.5]
or as an integer
less than half the input array
length.
var data = [ 2, 4, 5, 3, 8, 2, 4, 4, 100, 0 ];
var mu = compute.truncmean( data, 0.1 );
// returns 4
If the input array
is already sorted in ascending order, set the sorted
option to true
.
var data = [ 0, 2, 2, 3, 4, 4, 4, 5, 8, 100 ];
var mu = compute.truncmean( data, 2, {
'sorted': true
});
// returns ~3.67
For non-numeric arrays
, provide an accessor function
for accessing numeric array
values.
var data = [
{'x':2},
{'x':4},
{'x':5},
{'x':3},
{'x':8},
{'x':2},
{'x':4},
{'x':4},
{'x':100},
{'x':0}
];
function getValue( d ) {
return d.x;
}
var mu = compute.truncmean( data, 0.1, {
'accessor': getValue
});
// returns 4
For additional options, see compute-truncmean.
Computes the trimean of a numeric array
.
var data = [ 2, 4, 2, 7, 3 ];
var trimean = compute.trimean( data );
If the input array
is already sorted in ascending order, set the sorted
options flag to true
.
Computes the sample skewness of an array
of values.
var data = [ 2, 4, 2, 7, 3 ];
var skew = compute.skewness( data );
Computes the sample excess kurtosis of an array
of values.
var data = [ 2, 4, 2, 7, 3 ];
var kur = compute.kurtosis( data );
Computes the covariance between one or more numeric arrays.
var x = [ 1, 2, 3, 4, 5 ],
y = [ 5, 4, 3, 2, 1 ];
var mat = compute.covariance( x, y );
// returns [[2.5,-2.5],[-2.5,2.5]]
For method options, see compute-covariance.
Computes a correlation matrix for one or more numeric arrays.
var x = [ 1, 2, 3, 4, 5 ],
y = [ 5, 4, 3, 2, 1 ];
var mat = compute.pcorr( x, y );
// returns [[1,-1],[-1,1]]
Computes the Hamming distance between two sequences of equal length.
var a = 'beep',
b = 'boop';
var dist = compute.hamdist( a, b );
// returns 2
var c = [ 4, 2, 3, 4 ],
d = [ 2, 4, 3, 1 ];
var dist = compute.hamdist( c, d );
// returns 3
To compute the Hamming distance between nested array
values, provide an accessor function
for accessing array
values.
var a = [
{'x':4},
{'x':2},
{'x':3},
{'x':4}
];
var b = [
[1,2],
[2,4],
[3,3],
[4,1]
];
function getValue( d, i, j ) {
if ( j === 0 ) {
return d.x;
}
return d[ 1 ];
}
var dist = compute.hamdist( a, b, getValue );
// returns 3
Computes the Tversky Index between two sequences.
var a = 'beep',
b = 'boop';
var idx = compute.tversky( a, b );
var c = [ 4, 2, 3, 5, 7 ],
d = [ 2, 4, 3, 1 ];
var idx = compute.tversky( c, d );
For data pipelines, invoking serial methods can become verbose.
data = compute.roundn( data, -3 );
data = compute.mean( data );
data = compute.roundn( data, 0 );
...
Fluent interfaces can help alleviate this problem. Such interfaces have been popularized by libraries such as jQuery and D3 which utilize method chaining.
To create a fluent interface,
var flow = compute.flow();
A flow
pipeline should be initialized.
flow.value( data );
Once initialized, all compute methods are now available. The lone difference is that data should not be explicitly passed as an argument. For example,
flow
.value( data )
.roundn( -3 )
.mean()
.roundn( 0 );
To return the flow value
,
var mean = flow.value();
To help understand the transformations comprising a data pipeline, flow
exposes an inspect()
method, which logs the current value
to the console while maintaining the fluent interface.
flow.inspect();
The above flow
can be modified accordingly,
flow
.value( data )
.inspect()
.roundn( -3 )
.inspect()
.mean()
.inspect()
.roundn( 0 )
.inspect();
To summarize the flow
API...
This method is a setter/getter. If no value
is provided, returns the current flow value
. If a value
is provided, sets the flow value
.
flow.value( [ 4, 3, 6, 2 ] );
Logs the current flow value
to the console, while maintaining the fluent interface.
flow.inspect();
Unit tests use the Mocha test framework with Chai assertions. To run the tests, execute the following command in the top-level application directory:
$ make test
All new feature development should have corresponding unit tests to validate correct functionality.
This repository uses Istanbul as its code coverage tool. To generate a test coverage report, execute the following command in the top-level application directory:
$ make test-cov
Istanbul creates a ./reports/coverage
directory. To access an HTML version of the report,
$ make view-cov
To contribute to compute.io, see the contributing guide.
Copyright © 2014-2015. Athan Reines.
FAQs
Computation library.
The npm package compute.io receives a total of 141 weekly downloads. As such, compute.io popularity was classified as not popular.
We found that compute.io demonstrated a not healthy version release cadence and project activity because the last version was released a year ago. It has 2 open source maintainers collaborating on the project.
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