npm i gordan --save
import Gordan from 'gordan'; // for ES6
const Gordan = require('gordan'); // for Node
Gordan.solveByGaussJordan(matrix)
-
matrix
: the augmented matrix, a bidimensional array -
Returns: the identity matrix with the solution coefficients
Gordan.getLinearRegressionRect(points)
- Returns: a list of points for the regression rect
Gordan.getQuadraticRegressionCurve(points)
- Returns: a list of points for the regression curve (from cuadratic equation)
Gordan.getRegressionPath(points, N)
-
Returns: a list of points for an Nth grade equation (
ax^N + bx^(N - 1) + cx^(N - 2) + ...
) -
points
: for all cases, a list ofx, y
points. The following formats are supported:
[
[1, 2],
[2, 2],
[3, 3]
]
[
{ "x": 1, "y": 2 },
{ "x": 2, "y": 2 },
{ "x": 3, "y": 3 }
]
Gordan.addRows(row1, row2, [invert1[, invert2]])
-
row1
: first row to add, a number array -
row2
: second row to add, a number array -
invert1
: boolean, if present, values inrow1
are multiplied by-1
-
invert2
: boolean, if present, values inrow2
are multiplied by-1
-
Returns: the addition of the 2 rows (
number[]
)
Gordan.multiplyRow(row, value)
-
row
: the row to multiply, a number array -
value
: each number inrow
is multiplied by this number -
Returns: a new row with the multipled values (
number[]
)
Gordan.divideRow(row, value)
-
row
: the row to divide, a number array -
value
: each number inrow
is divided by this number -
Returns: a new row with the divided values (
number[]
)
Gordan.getSymbolValues(matrix)
-
matrix
: the augmented matrix, a bidimensional array -
Returns: the last column of the resulting identity matrix (
number[]
)
Gordan.normalizePoints(points)
-
points
: an array of[x, y]
or{x, y}
points -
Returns: an array of points with
{x, y}
format
Gordan.getRegressionMatrixFromPoints(points, degreeOfEquation)```
-
points
: an array of[x, y]
or{x, y}
points -
degreeOfEquation
: a number greater than zero -
Returns: the regression augmented matrix
Gordan.getRange(points, axis)
-
points
: an array of[x, y]
or{x, y}
points -
axis
: a string'x'
or'y'
-
Returns:
'x'
/'y'
limits on the plane for the given points
let gaussJordanMatrix = [
[ 1, -2, 2, -3, 15 ],
[ 3, 4, -1, 1, -6 ],
[ 2, -3, 2, -1, 17 ],
[ 1, 1, -3, -2, -7 ]
];
let solvedMatrix = Gordan.solveByGaussJordan(gaussJordanMatrix);
Results in:
1, 0, 0, 0, 2
0, 1, 0, 0, -2
0, 0, 1, 0, 3
0, 0, 0, 1, -1
let points = [
[1, 2],
[1.5, 4],
[2, 2.4],
[3, 5],
[4, 3],
[5.5, 9.3],
[5, 6],
[6, 10],
[6.5, 8.5],
[6.5, 13],
[7, 12.5]
];
let rect = Gordan.getLinearRegressionRect(points);
let curve = Gordan.getQuadraticRegressionCurve(points);
let gradeSixCurve = Gordan.getRegressionPath(points, 6);
Results in:
Here's the Chart.js code needed for that:
let chart = new Chart(document.getElementById('chart'), {
type: 'scatter',
data: {
datasets: [{
label: 'The points',
data: Gordan.normalizePoints(points),
backgroundColor: '#f40'
}, {
label: 'Linear regression rect',
data: rect,
backgroundColor: '#fcc'
}, {
label: 'Quadratic regression curve',
data: curve,
backgroundColor: '#cfc'
}, {
label: 'Grade 6 regression curve',
data: gradeSixCurve,
backgroundColor: '#ccf'
}]
},
options: {
responsive: true
}
});