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* @license Apache-2.0
*
* Copyright (c) 2026 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 lowercase = require( '@stdlib/string/base/lowercase' );
var floor = require( '@stdlib/math/base/special/floor' );
var Float64Array = require( '@stdlib/array/float64' );
// VARIABLES //
var SELECT = 20;
// MAIN //
/**
* Sort an array of doubles in increasing or decreasing order using quicksort, with insertion sort for small partitions (size <= 20).
*
* @private
* @param {string} ID - sort direction: 'I' or 'D'
* @param {NonNegativeInteger} N - number of elements to sort
* @param {Float64Array} D - array to sort in-place
* @param {integer} strideD - stride length for `d`
* @param {NonNegativeInteger} offsetD - starting index for `d`
* @returns {integer} status code (0 = success, -i = the i-th argument had an illegal value)
*
* @example
* var Float64Array = require( '@stdlib/array/float64' );
*
* var D = new Float64Array( [ 5, 7, 9, 3, 11 ] );
*
* dlasrt( 'I', 5, D, 1, 0 );
* // D => <Float64Array>[ 3, 5, 7, 9, 11 ]
*/
function dlasrt( ID, N, D, strideD, offsetD ) {
var stkpnt;
var stack;
var start;
var dmnmx;
var endd;
var idx1;
var idx2;
var idx3;
var dir;
var tmp;
var d1;
var d2;
var d3;
var i;
var j;
// Determine sort direction
dir = -1;
if ( lowercase( ID ) === 'd' ) {
dir = 0;
} else if ( lowercase( ID ) === 'i' ) {
dir = 1;
}
if ( dir === -1 ) {
return -1;
}
if ( N < 0 ) {
return -2;
}
// Quick return
if ( N <= 1 ) {
return 0;
}
// Initialize the stack with the full range (using 0-based indices)...
stkpnt = 0;
stack = new Float64Array( 64 );
stack[ 0 ] = 0;
stack[ 1 ] = N - 1;
while ( stkpnt >= 0 ) {
start = stack[ 2*stkpnt ];
endd = stack[ ( 2*stkpnt ) + 1 ];
stkpnt -= 1;
if ( endd - start <= SELECT && endd - start > 0 ) {
// Insertion sort for small partitions
if ( dir === 0 ) {
// Sort in decreasing order
idx1 = offsetD + ( ( start + 1 )*strideD );
for ( i = start + 1; i <= endd; i++ ) {
idx2 = idx1; // index of i
for ( j = i; j >= start + 1; j-- ) {
idx3 = idx2 - strideD; // index of j - 1
if ( D[ idx2 ] > D[ idx3 ] ) {
dmnmx = D[ idx2 ];
D[ idx2 ] = D[ idx3 ];
D[ idx3 ] = dmnmx;
} else {
break;
}
idx2 -= strideD;
}
idx1 += strideD;
}
} else {
// Sort in increasing order
idx1 = offsetD + ( ( start + 1 )*strideD );
for ( i = start + 1; i <= endd; i++ ) {
idx2 = idx1; // index of i
for ( j = i; j >= start + 1; j-- ) {
idx3 = idx2 - strideD; // index of j - 1
if ( D[ idx2 ] < D[ idx3 ] ) {
dmnmx = D[ idx2 ];
D[ idx2 ] = D[ idx3 ];
D[ idx3 ] = dmnmx;
} else {
break;
}
idx2 -= strideD;
}
idx1 += strideD;
}
}
} else if ( endd - start > SELECT ) {
// Quicksort partition using median-of-three pivot
d1 = D[ offsetD + ( start*strideD ) ];
d2 = D[ offsetD + ( endd*strideD ) ];
i = floor( ( start + endd ) / 2 );
d3 = D[ offsetD + ( i*strideD ) ];
// Find median of d1, d2, d3
if ( d1 < d2 ) {
if ( d3 < d1 ) {
dmnmx = d1;
} else if ( d3 < d2 ) {
dmnmx = d3;
} else {
dmnmx = d2;
}
} else if ( d3 < d2 ) {
dmnmx = d2;
} else if ( d3 < d1 ) {
dmnmx = d3;
} else {
dmnmx = d1;
}
if ( dir === 0 ) {
// Partition for decreasing order
i = start;
j = endd;
while ( true ) {
idx1 = offsetD + ( j*strideD );
while ( D[ idx1 ] < dmnmx ) {
idx1 -= strideD;
j -= 1;
}
idx2 = offsetD + ( i*strideD );
while ( D[ idx2 ] > dmnmx ) {
idx2 += strideD;
i += 1;
}
if ( i < j ) {
tmp = D[ idx2 ];
D[ idx2 ] = D[ idx1 ];
D[ idx1 ] = tmp;
i += 1;
j -= 1;
} else {
break;
}
}
} else {
// Partition for increasing order
i = start;
j = endd;
while ( true ) {
idx1 = offsetD + ( j*strideD );
while ( D[ idx1 ] > dmnmx ) {
idx1 -= strideD;
j -= 1;
}
idx2 = offsetD + ( i*strideD );
while ( D[ idx2 ] < dmnmx ) {
idx2 += strideD;
i += 1;
}
if ( i < j ) {
tmp = D[ idx2 ];
D[ idx2 ] = D[ idx1 ];
D[ idx1 ] = tmp;
i += 1;
j -= 1;
} else {
break;
}
}
}
// Push sub-partitions onto stack (larger first for bounded stack depth)
idx1 = 2*stkpnt;
if ( j - start > endd - j - 1 ) {
stkpnt += 1;
idx1 += 2;
stack[ idx1 ] = start;
stack[ idx1 + 1 ] = j;
stkpnt += 1;
idx1 += 2;
stack[ idx1 ] = j + 1;
stack[ idx1 + 1 ] = endd;
} else {
stkpnt += 1;
idx1 += 2;
stack[ idx1 ] = j + 1;
stack[ idx1 + 1 ] = endd;
stkpnt += 1;
idx1 += 2;
stack[ idx1 ] = start;
stack[ idx1 + 1 ] = j;
}
}
}
return 0;
}
// EXPORTS //
module.exports = dlasrt;
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