/* * Copyright (c) 2015, 2022, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have any * questions.
*/
privatestaticint minRunLength(int n) { assert n >= 0; int r = 0; // Becomes 1 if any 1 bits are shifted off while (n >= MIN_MERGE) {
r |= (n & 1);
n >>= 1;
} return n + r;
}
/** * Adds a sequence x_1, ..., x_n of run lengths to <code>runs</code> such that:<br> * 1. X = x_1 + ... + x_n <br> * 2. x_j >= minRun for all j <br> * 3. x_1 + ... + x_{j-2} < x_j < x_1 + ... + x_{j-1} for all j <br> * These conditions guarantee that TimSort merges all x_j's one by one * (resulting in X) using only merges on the second-to-last element. * @param X The sum of the sequence that should be added to runs.
*/ privatevoid generateJDKWrongElem(long X) { for(long newTotal; X >= 2 * minRun + 1; X = newTotal) { //Default strategy
newTotal = X / 2 + 1; //Specialized strategies if(3 * minRun + 3 <= X && X <= 4*minRun+1) { // add x_1=MIN+1, x_2=MIN, x_3=X-newTotal to runs
newTotal = 2 * minRun + 1;
} elseif (5 * minRun + 5 <= X && X <= 6 * minRun + 5) { // add x_1=MIN+1, x_2=MIN, x_3=MIN+2, x_4=X-newTotal to runs
newTotal = 3 * minRun + 3;
} elseif (8 * minRun + 9 <= X && X <= 10 * minRun + 9) { // add x_1=MIN+1, x_2=MIN, x_3=MIN+2, x_4=2MIN+2, x_5=X-newTotal to runs
newTotal = 5 * minRun + 5;
} elseif (13 * minRun + 15 <= X && X <= 16 * minRun + 17) { // add x_1=MIN+1, x_2=MIN, x_3=MIN+2, x_4=2MIN+2, x_5=3MIN+4, x_6=X-newTotal to runs
newTotal = 8 * minRun + 9;
}
runs.add(0, X - newTotal);
}
runs.add(0, X);
}
/** * Fills <code>runs</code> with a sequence of run lengths of the form<br> * Y_n x_{n,1} x_{n,2} ... x_{n,l_n} <br> * Y_{n-1} x_{n-1,1} x_{n-1,2} ... x_{n-1,l_{n-1}} <br> * ... <br> * Y_1 x_{1,1} x_{1,2} ... x_{1,l_1}<br> * The Y_i's are chosen to satisfy the invariant throughout execution, * but the x_{i,j}'s are merged (by <code>TimSort.mergeCollapse</code>) * into an X_i that violates the invariant. * X is the sum of all run lengths that will be added to <code>runs</code>.
*/ privatevoid fillRunsJDKWorstCase() { long runningTotal = 0; long Y = minRun + 4; long X = minRun;
while (runningTotal + Y + X <= length) {
runningTotal += X + Y;
generateJDKWrongElem(X);
runs.add(0, Y);
// X_{i+1} = Y_i + x_{i,1} + 1, since runs.get(1) = x_{i,1}
X = Y + runs.get(1) + 1;
// Y_{i+1} = X_{i+1} + Y_i + 1
Y += X + 1;
}
if (runningTotal + X <= length) {
runningTotal += X;
generateJDKWrongElem(X);
}
runs.add(length - runningTotal);
}
private Integer [] createArray() {
Integer [] a = new Integer[length];
Arrays.fill(a, 0); int endRun = -1; for (long len : runs) {
a[endRun += len] = 1;
}
a[length - 1] = 0; return a;
}
}
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