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function flatten( arr ) { return [].concat.apply( [], arr ) } | |
function arrayOfSize( size, n ) { | |
n = n || 0; | |
return ( new Array( size + 1 ) ).join( '0' ).split( '' ) | |
.map( function ( _ ) { return n } ); | |
} | |
function createMatrix( size ) { | |
return arrayOfSize( size ).map( function ( row, rowIndex ) { | |
return arrayOfSize( size ).map( function ( col, colIndex ) { | |
return { | |
x: rowIndex, | |
y: colIndex, | |
name: ( [ rowIndex, colIndex ].join( '-' ) ) | |
} | |
} ) | |
} ) | |
} | |
function distanceBetweenPoints( p1, p2 ) { | |
return Math.sqrt( Math.pow( p1.x - p2.x, 2 ) + Math.pow( p1.y - p2.y, 2 ) ) | |
} | |
function isPointInCircle( radius, center, point ) { | |
return ( | |
Math.pow( ( point.x - center.x ), 2 ) | |
+ Math.pow( ( point.y - center.y ), 2 ) | |
< Math.pow( radius, 2 ) | |
) | |
} | |
function stringifyPoint( pt ) { return '(' + pt.x + ',' + pt.y + ')' } | |
function printMatrix( matrix ) { | |
return matrix | |
.map( function( row ) { | |
return row.map( stringifyPoint ) | |
}).join( '\n\n' ); | |
} | |
/* - - - - - - - - - - */ | |
var m = createMatrix( 5 ); | |
var force = 2; | |
var center = { x: 2, y: 2 }; | |
var appliedForcePoints = flatten( m ) | |
.filter( function ( pt ) { | |
return isPointInCircle( force, center, pt ); | |
}) | |
.map( function ( pt ) { | |
return { | |
name: pt.name, | |
displacement: force - distanceBetweenPoints( pt, center ) | |
} | |
}); |
function appliedForce( m ) {
return flatten( m )
.filter( function ( pt ) {
return isPointInCircle( force, center, pt );
})
.map( function ( pt ) {
return {
name: pt.name,
d: Math.sin(
( Math.PI/2 ) *
( ( force - distanceBetweenPoints( pt, center ) ) / force )
) * 10
}
})
}
ES6 Version
const flatten = arr => [].concat(...arr);
const arrayOfSize = size => n => Array.from(new Array(size + 1), _ => n);
const createMatrix = size => arrayOfSize(size)(0)
.map((_, rowIndex) => arrayOfSize(size)(0)
.map((_, colIndex) => ({
x: rowIndex,
y: colIndex,
name: `${rowIndex}-${colIndex}`
})));
const distanceBetweenPoints = p1 => p2 => Math.sqrt( Math.pow(p1.x - p2.x, 2) + Math.pow(p1.y - p2.y, 2), 2 );
const isPointInCircle = (radius, center, point) =>
Math.pow(point.x - center.x, 2) + Math.pow(point.y - center.y, 2) < Math.pow(radius, 2);
let m = createMatrix(5);
let force = 2;
let center = {x: 2, y: 2};
let appliedForcePoints = flatten(m)
.filter( pt => isPointInCircle(force, center, pt) )
.map( pt => ({ name: pt.name, displacement: force - distanceBetweenPoints(pt)(center) }) );
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Matrix:
(0,0),(0,1),(0,2),(0,3),(0,4)
(1,0),(1,1),(1,2),(1,3),(1,4)
(2,0),(2,1),(2,2),(2,3),(2,4)
(3,0),(3,1),(3,2),(3,3),(3,4)
(4,0),(4,1),(4,2),(4,3),(4,4)
force = 2
center = { x: 2, y: 2 }