Press n or j to go to the next uncovered block, b, p or k for the previous block.
| 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 | 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 2x 252x 252x 252x 2x 2x 2x 2x 2x 2x 2x 2x | /**
* @license Apache-2.0
*
* Copyright (c) 2018 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
'use strict';
// MODULES //
var sqrt = require( '@stdlib/math/base/special/sqrt' );
var exp = require( '@stdlib/math/base/special/exp' );
var ln = require( '@stdlib/math/base/special/ln' );
// VARIABLES //
// (R*phi(R) + Pr(X>=R))*sqrt(2\pi)
var V = 9.91256303526217e-3;
// MAIN //
/**
* Returns an array containing coordinates such that each rectangle has the same area.
*
* @private
* @param {PositiveInteger} N - number of rectangles
* @param {number} rTail - start of right tail
* @returns {NumberArray} coordinate array
*
* @example
* var X = coordsArray( 128, 3.44 );
* // returns <Array>
*/
function coordsArray( N, rTail ) {
var X;
var f;
var i;
f = exp( -0.5 * rTail * rTail );
X = [];
X.push( V/f ); // bottom block: V / f(R)
X.push( rTail );
for ( i = 2; i < N; i++ ) {
X[ i ] = sqrt( -2.0 * ln( ( V/X[i-1] ) + f ) );
f = exp( -0.5 * X[ i ] * X[ i ] );
}
X.push( 0.0 );
return X;
}
// EXPORTS //
module.exports = coordsArray;
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