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* @license Apache-2.0
*
* Copyright (c) 2020 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 arraylike2object = require( '@stdlib/array/base/arraylike2object' );
var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var accessors = require( './accessors.js' );
// MAIN //
/**
* Sorts a strided array using insertion sort.
*
* @param {PositiveInteger} N - number of indexed elements
* @param {number} order - sort order
* @param {NumericArray} x - input array
* @param {integer} strideX - stride length
* @param {NonNegativeInteger} offsetX - starting index
* @returns {NumericArray} input array
*
* @example
* var x = [ 1.0, -2.0, 3.0, -4.0 ];
*
* gsortins( x.length, 1.0, x, 1, 0 );
* // x => [ -4.0, -2.0, 1.0, 3.0 ]
*/
function gsortins( N, order, x, strideX, offsetX ) {
var flg;
var ix;
var jx;
var fx;
var lx;
var ox;
var v;
var u;
var i;
if ( N <= 0 || order === 0.0 ) {
return x;
}
ox = arraylike2object( x );
if ( ox.accessorProtocol ) {
accessors( N, order, ox, strideX, offsetX );
return x;
}
// For a positive stride, sorting in decreasing order is equivalent to providing a negative stride and sorting in increasing order, and, for a negative stride, sorting in decreasing order is equivalent to providing a positive stride and sorting in increasing order...
if ( order < 0.0 ) {
strideX *= -1;
offsetX -= (N-1) * strideX;
}
fx = offsetX; // first index
lx = fx + ( (N-1)*strideX ); // last index
ix = fx + strideX;
if ( strideX < 0 ) {
// Traverse the strided array from right-to-left...
// Sort in increasing order...
for ( i = 1; i < N; i++ ) {
v = x[ ix ];
// Sort `NaN` values to the end (i.e., the left)...
if ( isnan( v ) ) {
jx = ix;
// Shift all values (including NaNs) to the left of the current element to the right...
while ( jx > lx ) {
x[ jx ] = x[ jx+strideX ];
jx += strideX;
}
x[ lx ] = v;
} else {
flg = isNegativeZero( v );
jx = ix - strideX;
// Shift all larger values to the right of the current element to the left...
while ( jx <= fx ) {
u = x[ jx ];
if ( u <= v && !(flg && u === v && isNegativeZero( u ) === false) ) { // eslint-disable-line max-len
// Note: positive zeros (and NaNs (e.g., when last element is NaN)) are sorted to the left
break;
}
x[ jx+strideX ] = u;
jx -= strideX;
}
x[ jx+strideX ] = v;
ix += strideX;
}
}
return x;
}
// Traverse the strided array from left-to-right...
// Sort in increasing order...
for ( i = 1; i < N; i++ ) {
v = x[ ix ];
// Sort `NaN` values to the end...
if ( isnan( v ) ) {
jx = ix;
// Shift all values (including NaNs) to the right of the current element to the left...
while ( jx < lx ) {
x[ jx ] = x[ jx+strideX ];
jx += strideX;
}
x[ lx ] = v;
} else {
flg = isNegativeZero( v );
jx = ix - strideX;
// Shift all larger values to the left of the current element to the right...
while ( jx >= fx ) {
u = x[ jx ];
if ( u <= v && !(flg && u === v && isNegativeZero( u ) === false) ) { // eslint-disable-line max-len
// Note: positive zeros (and NaNs (e.g., when first element is NaN)) are sorted to the right
break;
}
x[ jx+strideX ] = u;
jx -= strideX;
}
x[ jx+strideX ] = v;
ix += strideX;
}
}
return x;
}
// EXPORTS //
module.exports = gsortins;
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