399 lines
15 KiB
Java
399 lines
15 KiB
Java
|
package com.google.common.math;
|
||
|
|
|
||
|
|
import com.google.common.base.Preconditions;
|
||
|
|
import java.math.BigDecimal;
|
||
|
|
import java.math.BigInteger;
|
||
|
|
import java.math.RoundingMode;
|
||
|
|
import java.util.ArrayList;
|
||
|
|
import java.util.List;
|
||
|
|
|
||
|
|
/* loaded from: classes2.dex */
|
||
|
|
public final class BigIntegerMath {
|
||
|
|
static final int SQRT2_PRECOMPUTE_THRESHOLD = 256;
|
||
|
|
static final BigInteger SQRT2_PRECOMPUTED_BITS = new BigInteger("16a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590b0667322a", 16);
|
||
|
|
private static final double LN_10 = Math.log(10.0d);
|
||
|
|
private static final double LN_2 = Math.log(2.0d);
|
||
|
|
|
||
|
|
public static BigInteger ceilingPowerOfTwo(BigInteger bigInteger) {
|
||
|
|
return BigInteger.ZERO.setBit(log2(bigInteger, RoundingMode.CEILING));
|
||
|
|
}
|
||
|
|
|
||
|
|
public static BigInteger floorPowerOfTwo(BigInteger bigInteger) {
|
||
|
|
return BigInteger.ZERO.setBit(log2(bigInteger, RoundingMode.FLOOR));
|
||
|
|
}
|
||
|
|
|
||
|
|
public static boolean isPowerOfTwo(BigInteger bigInteger) {
|
||
|
|
Preconditions.checkNotNull(bigInteger);
|
||
|
|
return bigInteger.signum() > 0 && bigInteger.getLowestSetBit() == bigInteger.bitLength() - 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
public static int log2(BigInteger bigInteger, RoundingMode roundingMode) {
|
||
|
|
MathPreconditions.checkPositive("x", (BigInteger) Preconditions.checkNotNull(bigInteger));
|
||
|
|
int bitLength = bigInteger.bitLength();
|
||
|
|
int i = bitLength - 1;
|
||
|
|
switch (AnonymousClass1.$SwitchMap$java$math$RoundingMode[roundingMode.ordinal()]) {
|
||
|
|
case 1:
|
||
|
|
MathPreconditions.checkRoundingUnnecessary(isPowerOfTwo(bigInteger));
|
||
|
|
case 2:
|
||
|
|
case 3:
|
||
|
|
return i;
|
||
|
|
case 4:
|
||
|
|
case 5:
|
||
|
|
return isPowerOfTwo(bigInteger) ? i : bitLength;
|
||
|
|
case 6:
|
||
|
|
case 7:
|
||
|
|
case 8:
|
||
|
|
return i < 256 ? bigInteger.compareTo(SQRT2_PRECOMPUTED_BITS.shiftRight(256 - i)) <= 0 ? i : bitLength : bigInteger.pow(2).bitLength() + (-1) < (i << 1) + 1 ? i : bitLength;
|
||
|
|
default:
|
||
|
|
throw new AssertionError();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX INFO: Access modifiers changed from: package-private */
|
||
|
|
/* renamed from: com.google.common.math.BigIntegerMath$1, reason: invalid class name */
|
||
|
|
/* loaded from: classes2.dex */
|
||
|
|
public static /* synthetic */ class AnonymousClass1 {
|
||
|
|
static final int[] $SwitchMap$java$math$RoundingMode;
|
||
|
|
|
||
|
|
static {
|
||
|
|
int[] iArr = new int[RoundingMode.values().length];
|
||
|
|
$SwitchMap$java$math$RoundingMode = iArr;
|
||
|
|
try {
|
||
|
|
iArr[RoundingMode.UNNECESSARY.ordinal()] = 1;
|
||
|
|
} catch (NoSuchFieldError unused) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.DOWN.ordinal()] = 2;
|
||
|
|
} catch (NoSuchFieldError unused2) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.FLOOR.ordinal()] = 3;
|
||
|
|
} catch (NoSuchFieldError unused3) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.UP.ordinal()] = 4;
|
||
|
|
} catch (NoSuchFieldError unused4) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.CEILING.ordinal()] = 5;
|
||
|
|
} catch (NoSuchFieldError unused5) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.HALF_DOWN.ordinal()] = 6;
|
||
|
|
} catch (NoSuchFieldError unused6) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.HALF_UP.ordinal()] = 7;
|
||
|
|
} catch (NoSuchFieldError unused7) {
|
||
|
|
}
|
||
|
|
try {
|
||
|
|
$SwitchMap$java$math$RoundingMode[RoundingMode.HALF_EVEN.ordinal()] = 8;
|
||
|
|
} catch (NoSuchFieldError unused8) {
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX WARN: Removed duplicated region for block: B:13:0x006d */
|
||
|
|
/* JADX WARN: Removed duplicated region for block: B:15:0x0073 */
|
||
|
|
/* JADX WARN: Removed duplicated region for block: B:20:0x008b */
|
||
|
|
/* JADX WARN: Removed duplicated region for block: B:25:0x0094 */
|
||
|
|
/* JADX WARN: Removed duplicated region for block: B:28:0x009b A[FALL_THROUGH, RETURN] */
|
||
|
|
/*
|
||
|
|
Code decompiled incorrectly, please refer to instructions dump.
|
||
|
|
To view partially-correct add '--show-bad-code' argument
|
||
|
|
*/
|
||
|
|
public static int log10(java.math.BigInteger r8, java.math.RoundingMode r9) {
|
||
|
|
/*
|
||
|
|
java.lang.String r0 = "x"
|
||
|
|
com.google.common.math.MathPreconditions.checkPositive(r0, r8)
|
||
|
|
boolean r0 = fitsInLong(r8)
|
||
|
|
if (r0 == 0) goto L14
|
||
|
|
long r0 = r8.longValue()
|
||
|
|
int r8 = com.google.common.math.LongMath.log10(r0, r9)
|
||
|
|
return r8
|
||
|
|
L14:
|
||
|
|
java.math.RoundingMode r0 = java.math.RoundingMode.FLOOR
|
||
|
|
int r0 = log2(r8, r0)
|
||
|
|
double r0 = (double) r0
|
||
|
|
double r2 = com.google.common.math.BigIntegerMath.LN_2
|
||
|
|
double r0 = r0 * r2
|
||
|
|
double r2 = com.google.common.math.BigIntegerMath.LN_10
|
||
|
|
double r0 = r0 / r2
|
||
|
|
int r0 = (int) r0
|
||
|
|
java.math.BigInteger r1 = java.math.BigInteger.TEN
|
||
|
|
java.math.BigInteger r1 = r1.pow(r0)
|
||
|
|
int r2 = r1.compareTo(r8)
|
||
|
|
r3 = 1
|
||
|
|
if (r2 <= 0) goto L3d
|
||
|
|
L2f:
|
||
|
|
int r0 = r0 - r3
|
||
|
|
java.math.BigInteger r2 = java.math.BigInteger.TEN
|
||
|
|
java.math.BigInteger r1 = r1.divide(r2)
|
||
|
|
int r2 = r1.compareTo(r8)
|
||
|
|
if (r2 > 0) goto L2f
|
||
|
|
goto L62
|
||
|
|
L3d:
|
||
|
|
java.math.BigInteger r4 = java.math.BigInteger.TEN
|
||
|
|
java.math.BigInteger r4 = r4.multiply(r1)
|
||
|
|
int r5 = r4.compareTo(r8)
|
||
|
|
r6 = r2
|
||
|
|
r2 = r1
|
||
|
|
r1 = r4
|
||
|
|
r4 = r6
|
||
|
|
L4b:
|
||
|
|
if (r5 > 0) goto L60
|
||
|
|
int r0 = r0 + 1
|
||
|
|
java.math.BigInteger r2 = java.math.BigInteger.TEN
|
||
|
|
java.math.BigInteger r2 = r2.multiply(r1)
|
||
|
|
int r4 = r2.compareTo(r8)
|
||
|
|
r6 = r2
|
||
|
|
r2 = r1
|
||
|
|
r1 = r6
|
||
|
|
r7 = r5
|
||
|
|
r5 = r4
|
||
|
|
r4 = r7
|
||
|
|
goto L4b
|
||
|
|
L60:
|
||
|
|
r1 = r2
|
||
|
|
r2 = r4
|
||
|
|
L62:
|
||
|
|
int[] r4 = com.google.common.math.BigIntegerMath.AnonymousClass1.$SwitchMap$java$math$RoundingMode
|
||
|
|
int r9 = r9.ordinal()
|
||
|
|
r9 = r4[r9]
|
||
|
|
switch(r9) {
|
||
|
|
case 1: goto L94;
|
||
|
|
case 2: goto L9b;
|
||
|
|
case 3: goto L9b;
|
||
|
|
case 4: goto L8b;
|
||
|
|
case 5: goto L8b;
|
||
|
|
case 6: goto L73;
|
||
|
|
case 7: goto L73;
|
||
|
|
case 8: goto L73;
|
||
|
|
default: goto L6d;
|
||
|
|
}
|
||
|
|
L6d:
|
||
|
|
java.lang.AssertionError r8 = new java.lang.AssertionError
|
||
|
|
r8.<init>()
|
||
|
|
throw r8
|
||
|
|
L73:
|
||
|
|
r9 = 2
|
||
|
|
java.math.BigInteger r8 = r8.pow(r9)
|
||
|
|
java.math.BigInteger r9 = r1.pow(r9)
|
||
|
|
java.math.BigInteger r1 = java.math.BigInteger.TEN
|
||
|
|
java.math.BigInteger r9 = r9.multiply(r1)
|
||
|
|
int r8 = r8.compareTo(r9)
|
||
|
|
if (r8 <= 0) goto L8a
|
||
|
|
int r0 = r0 + 1
|
||
|
|
L8a:
|
||
|
|
return r0
|
||
|
|
L8b:
|
||
|
|
boolean r8 = r1.equals(r8)
|
||
|
|
if (r8 != 0) goto L93
|
||
|
|
int r0 = r0 + 1
|
||
|
|
L93:
|
||
|
|
return r0
|
||
|
|
L94:
|
||
|
|
if (r2 != 0) goto L97
|
||
|
|
goto L98
|
||
|
|
L97:
|
||
|
|
r3 = 0
|
||
|
|
L98:
|
||
|
|
com.google.common.math.MathPreconditions.checkRoundingUnnecessary(r3)
|
||
|
|
L9b:
|
||
|
|
return r0
|
||
|
|
*/
|
||
|
|
throw new UnsupportedOperationException("Method not decompiled: com.google.common.math.BigIntegerMath.log10(java.math.BigInteger, java.math.RoundingMode):int");
|
||
|
|
}
|
||
|
|
|
||
|
|
public static BigInteger sqrt(BigInteger bigInteger, RoundingMode roundingMode) {
|
||
|
|
MathPreconditions.checkNonNegative("x", bigInteger);
|
||
|
|
if (fitsInLong(bigInteger)) {
|
||
|
|
return BigInteger.valueOf(LongMath.sqrt(bigInteger.longValue(), roundingMode));
|
||
|
|
}
|
||
|
|
BigInteger sqrtFloor = sqrtFloor(bigInteger);
|
||
|
|
switch (AnonymousClass1.$SwitchMap$java$math$RoundingMode[roundingMode.ordinal()]) {
|
||
|
|
case 1:
|
||
|
|
MathPreconditions.checkRoundingUnnecessary(sqrtFloor.pow(2).equals(bigInteger));
|
||
|
|
case 2:
|
||
|
|
case 3:
|
||
|
|
return sqrtFloor;
|
||
|
|
case 4:
|
||
|
|
case 5:
|
||
|
|
int intValue = sqrtFloor.intValue();
|
||
|
|
return (intValue * intValue == bigInteger.intValue() && sqrtFloor.pow(2).equals(bigInteger)) ? sqrtFloor : sqrtFloor.add(BigInteger.ONE);
|
||
|
|
case 6:
|
||
|
|
case 7:
|
||
|
|
case 8:
|
||
|
|
return sqrtFloor.pow(2).add(sqrtFloor).compareTo(bigInteger) < 0 ? sqrtFloor.add(BigInteger.ONE) : sqrtFloor;
|
||
|
|
default:
|
||
|
|
throw new AssertionError();
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
private static BigInteger sqrtFloor(BigInteger bigInteger) {
|
||
|
|
BigInteger shiftLeft;
|
||
|
|
int log2 = log2(bigInteger, RoundingMode.FLOOR);
|
||
|
|
if (log2 < 1023) {
|
||
|
|
shiftLeft = sqrtApproxWithDoubles(bigInteger);
|
||
|
|
} else {
|
||
|
|
int i = (log2 - 52) & (-2);
|
||
|
|
shiftLeft = sqrtApproxWithDoubles(bigInteger.shiftRight(i)).shiftLeft(i >> 1);
|
||
|
|
}
|
||
|
|
BigInteger shiftRight = shiftLeft.add(bigInteger.divide(shiftLeft)).shiftRight(1);
|
||
|
|
if (shiftLeft.equals(shiftRight)) {
|
||
|
|
return shiftLeft;
|
||
|
|
}
|
||
|
|
while (true) {
|
||
|
|
BigInteger shiftRight2 = shiftRight.add(bigInteger.divide(shiftRight)).shiftRight(1);
|
||
|
|
if (shiftRight2.compareTo(shiftRight) >= 0) {
|
||
|
|
return shiftRight;
|
||
|
|
}
|
||
|
|
shiftRight = shiftRight2;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
private static BigInteger sqrtApproxWithDoubles(BigInteger bigInteger) {
|
||
|
|
return DoubleMath.roundToBigInteger(Math.sqrt(DoubleUtils.bigToDouble(bigInteger)), RoundingMode.HALF_EVEN);
|
||
|
|
}
|
||
|
|
|
||
|
|
public static double roundToDouble(BigInteger bigInteger, RoundingMode roundingMode) {
|
||
|
|
return BigIntegerToDoubleRounder.INSTANCE.roundToDouble(bigInteger, roundingMode);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* loaded from: classes2.dex */
|
||
|
|
static class BigIntegerToDoubleRounder extends ToDoubleRounder<BigInteger> {
|
||
|
|
static final BigIntegerToDoubleRounder INSTANCE = new BigIntegerToDoubleRounder();
|
||
|
|
|
||
|
|
private BigIntegerToDoubleRounder() {
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX INFO: Access modifiers changed from: package-private */
|
||
|
|
@Override // com.google.common.math.ToDoubleRounder
|
||
|
|
public double roundToDoubleArbitrarily(BigInteger bigInteger) {
|
||
|
|
return DoubleUtils.bigToDouble(bigInteger);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX INFO: Access modifiers changed from: package-private */
|
||
|
|
@Override // com.google.common.math.ToDoubleRounder
|
||
|
|
public int sign(BigInteger bigInteger) {
|
||
|
|
return bigInteger.signum();
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX INFO: Access modifiers changed from: package-private */
|
||
|
|
@Override // com.google.common.math.ToDoubleRounder
|
||
|
|
public BigInteger toX(double d, RoundingMode roundingMode) {
|
||
|
|
return DoubleMath.roundToBigInteger(d, roundingMode);
|
||
|
|
}
|
||
|
|
|
||
|
|
/* JADX INFO: Access modifiers changed from: package-private */
|
||
|
|
@Override // com.google.common.math.ToDoubleRounder
|
||
|
|
public BigInteger minus(BigInteger bigInteger, BigInteger bigInteger2) {
|
||
|
|
return bigInteger.subtract(bigInteger2);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
public static BigInteger divide(BigInteger bigInteger, BigInteger bigInteger2, RoundingMode roundingMode) {
|
||
|
|
return new BigDecimal(bigInteger).divide(new BigDecimal(bigInteger2), 0, roundingMode).toBigIntegerExact();
|
||
|
|
}
|
||
|
|
|
||
|
|
public static BigInteger factorial(int i) {
|
||
|
|
MathPreconditions.checkNonNegative("n", i);
|
||
|
|
if (i < LongMath.factorials.length) {
|
||
|
|
return BigInteger.valueOf(LongMath.factorials[i]);
|
||
|
|
}
|
||
|
|
ArrayList arrayList = new ArrayList(IntMath.divide(IntMath.log2(i, RoundingMode.CEILING) * i, 64, RoundingMode.CEILING));
|
||
|
|
int length = LongMath.factorials.length;
|
||
|
|
long j = LongMath.factorials[length - 1];
|
||
|
|
int numberOfTrailingZeros = Long.numberOfTrailingZeros(j);
|
||
|
|
long j2 = j >> numberOfTrailingZeros;
|
||
|
|
int log2 = LongMath.log2(j2, RoundingMode.FLOOR) + 1;
|
||
|
|
long j3 = length;
|
||
|
|
int log22 = LongMath.log2(j3, RoundingMode.FLOOR);
|
||
|
|
int i2 = log22 + 1;
|
||
|
|
int i3 = 1 << log22;
|
||
|
|
while (j3 <= i) {
|
||
|
|
if ((j3 & i3) != 0) {
|
||
|
|
i3 <<= 1;
|
||
|
|
i2++;
|
||
|
|
}
|
||
|
|
int numberOfTrailingZeros2 = Long.numberOfTrailingZeros(j3);
|
||
|
|
numberOfTrailingZeros += numberOfTrailingZeros2;
|
||
|
|
if ((i2 - numberOfTrailingZeros2) + log2 >= 64) {
|
||
|
|
arrayList.add(BigInteger.valueOf(j2));
|
||
|
|
j2 = 1;
|
||
|
|
}
|
||
|
|
j2 *= j3 >> numberOfTrailingZeros2;
|
||
|
|
log2 = LongMath.log2(j2, RoundingMode.FLOOR) + 1;
|
||
|
|
j3++;
|
||
|
|
}
|
||
|
|
if (j2 > 1) {
|
||
|
|
arrayList.add(BigInteger.valueOf(j2));
|
||
|
|
}
|
||
|
|
return listProduct(arrayList).shiftLeft(numberOfTrailingZeros);
|
||
|
|
}
|
||
|
|
|
||
|
|
static BigInteger listProduct(List<BigInteger> list) {
|
||
|
|
return listProduct(list, 0, list.size());
|
||
|
|
}
|
||
|
|
|
||
|
|
static BigInteger listProduct(List<BigInteger> list, int i, int i2) {
|
||
|
|
int i3 = i2 - i;
|
||
|
|
if (i3 == 0) {
|
||
|
|
return BigInteger.ONE;
|
||
|
|
}
|
||
|
|
if (i3 == 1) {
|
||
|
|
return list.get(i);
|
||
|
|
}
|
||
|
|
if (i3 == 2) {
|
||
|
|
return list.get(i).multiply(list.get(i + 1));
|
||
|
|
}
|
||
|
|
if (i3 == 3) {
|
||
|
|
return list.get(i).multiply(list.get(i + 1)).multiply(list.get(i + 2));
|
||
|
|
}
|
||
|
|
int i4 = (i2 + i) >>> 1;
|
||
|
|
return listProduct(list, i, i4).multiply(listProduct(list, i4, i2));
|
||
|
|
}
|
||
|
|
|
||
|
|
public static BigInteger binomial(int i, int i2) {
|
||
|
|
int i3;
|
||
|
|
MathPreconditions.checkNonNegative("n", i);
|
||
|
|
MathPreconditions.checkNonNegative("k", i2);
|
||
|
|
int i4 = 1;
|
||
|
|
Preconditions.checkArgument(i2 <= i, "k (%s) > n (%s)", i2, i);
|
||
|
|
if (i2 > (i >> 1)) {
|
||
|
|
i2 = i - i2;
|
||
|
|
}
|
||
|
|
if (i2 < LongMath.biggestBinomials.length && i <= LongMath.biggestBinomials[i2]) {
|
||
|
|
return BigInteger.valueOf(LongMath.binomial(i, i2));
|
||
|
|
}
|
||
|
|
BigInteger bigInteger = BigInteger.ONE;
|
||
|
|
long j = i;
|
||
|
|
int log2 = LongMath.log2(j, RoundingMode.CEILING);
|
||
|
|
long j2 = 1;
|
||
|
|
while (true) {
|
||
|
|
int i5 = log2;
|
||
|
|
while (i4 < i2) {
|
||
|
|
i3 = i - i4;
|
||
|
|
i4++;
|
||
|
|
i5 += log2;
|
||
|
|
if (i5 >= 63) {
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
j *= i3;
|
||
|
|
j2 *= i4;
|
||
|
|
}
|
||
|
|
return bigInteger.multiply(BigInteger.valueOf(j)).divide(BigInteger.valueOf(j2));
|
||
|
|
bigInteger = bigInteger.multiply(BigInteger.valueOf(j)).divide(BigInteger.valueOf(j2));
|
||
|
|
j = i3;
|
||
|
|
j2 = i4;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static boolean fitsInLong(BigInteger bigInteger) {
|
||
|
|
return bigInteger.bitLength() <= 63;
|
||
|
|
}
|
||
|
|
|
||
|
|
private BigIntegerMath() {
|
||
|
|
}
|
||
|
|
}
|