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Minor cleanups for System.Runtime.Numerics #53984

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merged 10 commits into from
Aug 2, 2021
Original file line number Diff line number Diff line change
Expand Up @@ -263,7 +263,7 @@ public BigInteger(ReadOnlySpan<byte> value, bool isUnsigned = false, bool isBigE
bool isNegative;
if (byteCount > 0)
{
byte mostSignificantByte = isBigEndian ? value[0] : value[byteCount - 1];
byte mostSignificantByte = isBigEndian ? value[0] : value[^1];
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Does this impact codegen at all? I could imagine this being equivalent to value.Length - 1, which might result in a secondary read from memory.

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Given the size of this method, I think 1 length load should be OK

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Probably and for consistency, I'd just like to know if it is impactful at all, so we can more readily pin-point any changes in the perf issue triage.

isNegative = (mostSignificantByte & 0x80) != 0 && !isUnsigned;

if (mostSignificantByte == 0)
Expand Down Expand Up @@ -639,12 +639,12 @@ public bool IsPowerOfTwo
AssertValid();

if (_bits == null)
return (_sign & (_sign - 1)) == 0 && _sign != 0;
return BitOperations.IsPow2(_sign);

if (_sign != 1)
return false;
int iu = _bits.Length - 1;
if ((_bits[iu] & (_bits[iu] - 1)) != 0)
if (!BitOperations.IsPow2(_bits[iu]))
return false;
while (--iu >= 0)
{
Expand Down Expand Up @@ -818,12 +818,12 @@ public static double Log(BigInteger value, double baseValue)
if (value._bits == null)
return Math.Log(value._sign, baseValue);

ulong h = value._bits[value._bits.Length - 1];
ulong m = value._bits.Length > 1 ? value._bits[value._bits.Length - 2] : 0;
ulong l = value._bits.Length > 2 ? value._bits[value._bits.Length - 3] : 0;
ulong h = value._bits[^1];
ulong m = value._bits.Length > 1 ? value._bits[^2] : 0;
ulong l = value._bits.Length > 2 ? value._bits[^3] : 0;

// Measure the exact bit count
int c = NumericsHelpers.CbitHighZero((uint)h);
int c = BitOperations.LeadingZeroCount((uint)h);
long b = (long)value._bits.Length * 32 - c;

// Extract most significant bits
Expand Down Expand Up @@ -989,19 +989,18 @@ public override int GetHashCode()

if (_bits == null)
return _sign;
int hash = _sign;

HashCode hash = default;
hash.Add(_sign);
for (int iv = _bits.Length; --iv >= 0;)
hash = NumericsHelpers.CombineHash(hash, unchecked((int)_bits[iv]));
return hash;
hash.Add(_bits[iv]);
return hash.ToHashCode();
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}

public override bool Equals([NotNullWhen(true)] object? obj)
{
AssertValid();

if (!(obj is BigInteger))
return false;
return Equals((BigInteger)obj);
return obj is BigInteger bigInt && Equals(bigInt);
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}

public bool Equals(long other)
Expand Down Expand Up @@ -1124,9 +1123,9 @@ public int CompareTo(object? obj)
{
if (obj == null)
return 1;
if (!(obj is BigInteger))
if (obj is not BigInteger bigInt)
throw new ArgumentException(SR.Argument_MustBeBigInt, nameof(obj));
return CompareTo((BigInteger)obj);
return CompareTo(bigInt);
}

/// <summary>
Expand Down Expand Up @@ -1294,13 +1293,13 @@ private enum GetBytesMode { AllocateArray, Count, Span }
// because a bits array of all zeros would represent 0, and this case
// would be encoded as _bits = null and _sign = 0.
Debug.Assert(bits.Length > 0);
Debug.Assert(bits[bits.Length - 1] != 0);
Debug.Assert(bits[^1] != 0);
while (bits[nonZeroDwordIndex] == 0U)
{
nonZeroDwordIndex++;
}

highDword = ~bits[bits.Length - 1];
highDword = ~bits[^1];
if (bits.Length - 1 == nonZeroDwordIndex)
{
// This will not overflow because highDword is less than or equal to uint.MaxValue - 1.
Expand All @@ -1312,7 +1311,7 @@ private enum GetBytesMode { AllocateArray, Count, Span }
{
Debug.Assert(sign == 1);
highByte = 0x00;
highDword = bits[bits.Length - 1];
highDword = bits[^1];
}

byte msb;
Expand Down Expand Up @@ -1471,14 +1470,14 @@ private ReadOnlySpan<uint> ToUInt32Span(Span<uint> scratch)

// Find highest significant byte and ensure high bit is 0 if positive, 1 if negative
int msb;
for (msb = dwords.Length - 1; msb > 0 && dwords[msb] == highDWord; msb--);
for (msb = dwords.Length - 1; msb > 0 && dwords[msb] == highDWord; msb--) ;
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bool needExtraByte = (dwords[msb] & 0x80000000) != (highDWord & 0x80000000);

int length = msb + 1 + (needExtraByte ? 1 : 0);
bool copyDwordsToScratch = true;
if (length <= scratch.Length)
{
scratch = scratch.Slice(0, length);
scratch = scratch[..length];
copyDwordsToScratch = !dwordsIsScratch;
}
else
Expand All @@ -1488,7 +1487,7 @@ private ReadOnlySpan<uint> ToUInt32Span(Span<uint> scratch)

if (copyDwordsToScratch)
{
dwords.Slice(0, msb + 1).CopyTo(scratch);
dwords[..(msb + 1)].CopyTo(scratch);
}

if (needExtraByte)
Expand Down Expand Up @@ -1818,11 +1817,11 @@ public static explicit operator double(BigInteger value)
return double.NegativeInfinity;
}

ulong h = bits[length - 1];
ulong m = length > 1 ? bits[length - 2] : 0;
ulong l = length > 2 ? bits[length - 3] : 0;
ulong h = bits[^1];
ulong m = length > 1 ? bits[^2] : 0;
ulong l = length > 2 ? bits[^3] : 0;

int z = NumericsHelpers.CbitHighZero((uint)h);
int z = BitOperations.LeadingZeroCount((uint)h);

int exp = (length - 2) * 32 - z;
ulong man = (h << 32 + z) | (m << z) | (l >> 32 - z);
Expand Down Expand Up @@ -2406,7 +2405,7 @@ public long GetBitLength()
else
{
bitsArrayLength = bits.Length;
highValue = bits[bitsArrayLength - 1];
highValue = bits[^1];
}

long bitLength = bitsArrayLength * 32L - BitOperations.LeadingZeroCount(highValue);
Expand Down Expand Up @@ -2483,7 +2482,7 @@ private void AssertValid()
// Wasted space: _bits[0] could have been packed into _sign
Debug.Assert(_bits.Length > 1 || _bits[0] >= kuMaskHighBit);
// Wasted space: leading zeros could have been truncated
Debug.Assert(_bits[_bits.Length - 1] != 0);
Debug.Assert(_bits[^1] != 0);
}
else
{
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -173,7 +173,7 @@ private static unsafe void Divide(uint* left, int leftLength,
uint divLo = rightLength > 1 ? right[rightLength - 2] : 0;

// We measure the leading zeros of the divisor
int shift = LeadingZeros(divHi);
int shift = BitOperations.LeadingZeroCount(divHi);
int backShift = 32 - shift;

// And, we make sure the most significant bit is set
Expand Down Expand Up @@ -316,39 +316,5 @@ private static bool DivideGuessTooBig(ulong q, ulong valHi, uint valLo,

return false;
}

private static int LeadingZeros(uint value)
{
if (value == 0)
return 32;

int count = 0;
if ((value & 0xFFFF0000) == 0)
{
count += 16;
value = value << 16;
}
if ((value & 0xFF000000) == 0)
{
count += 8;
value = value << 8;
}
if ((value & 0xF0000000) == 0)
{
count += 4;
value = value << 4;
}
if ((value & 0xC0000000) == 0)
{
count += 2;
value = value << 2;
}
if ((value & 0x80000000) == 0)
{
count += 1;
}

return count;
}
}
}
Original file line number Diff line number Diff line change
Expand Up @@ -238,7 +238,7 @@ private static void ExtractDigits(ref BitsBuffer xBuffer,
}

// Use all the bits but one, see [hac] 14.58 (ii)
int z = LeadingZeros((uint)xh);
int z = BitOperations.LeadingZeroCount((uint)xh);

x = ((xh << 32 + z) | (xm << z) | (xl >> 32 - z)) >> 1;
y = ((yh << 32 + z) | (ym << z) | (yl >> 32 - z)) >> 1;
Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -370,23 +370,15 @@ public static Complex Reciprocal(Complex value)

public override bool Equals([NotNullWhen(true)] object? obj)
{
if (!(obj is Complex)) return false;
return Equals((Complex)obj);
return obj is Complex c && Equals(c);
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}

public bool Equals(Complex value)
{
return m_real.Equals(value.m_real) && m_imaginary.Equals(value.m_imaginary);
}

public override int GetHashCode()
{
int n1 = 99999997;
int realHash = m_real.GetHashCode() % n1;
int imaginaryHash = m_imaginary.GetHashCode();
int finalHash = realHash ^ imaginaryHash;
return finalHash;
}
public override int GetHashCode() => HashCode.Combine(m_real, m_imaginary);

public override string ToString() => $"({m_real}, {m_imaginary})";

Expand Down
Original file line number Diff line number Diff line change
Expand Up @@ -2,32 +2,20 @@
// The .NET Foundation licenses this file to you under the MIT license.

using System.Diagnostics;
using System.Runtime.InteropServices;

namespace System.Numerics
{
[StructLayout(LayoutKind.Explicit)]
internal struct DoubleUlong
{
[FieldOffset(0)]
public double dbl;
[FieldOffset(0)]
public ulong uu;
}

internal static class NumericsHelpers
{
private const int kcbitUint = 32;

public static void GetDoubleParts(double dbl, out int sign, out int exp, out ulong man, out bool fFinite)
{
DoubleUlong du;
du.uu = 0;
du.dbl = dbl;
ulong bits = BitConverter.DoubleToUInt64Bits(dbl);

sign = 1 - ((int)(du.uu >> 62) & 2);
man = du.uu & 0x000FFFFFFFFFFFFF;
exp = (int)(du.uu >> 52) & 0x7FF;
sign = 1 - ((int)(bits >> 62) & 2);
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man = bits & 0x000FFFFFFFFFFFFF;
exp = (int)(bits >> 52) & 0x7FF;
if (exp == 0)
{
// Denormalized number.
Expand All @@ -51,15 +39,14 @@ public static void GetDoubleParts(double dbl, out int sign, out int exp, out ulo

public static double GetDoubleFromParts(int sign, int exp, ulong man)
{
DoubleUlong du;
du.dbl = 0;
ulong bits;

if (man == 0)
du.uu = 0;
bits = 0;
else
{
// Normalize so that 0x0010 0000 0000 0000 is the highest bit set.
int cbitShift = CbitHighZero(man) - 11;
int cbitShift = BitOperations.LeadingZeroCount(man) - 11;
if (cbitShift < 0)
man >>= -cbitShift;
else
Expand All @@ -74,7 +61,7 @@ public static double GetDoubleFromParts(int sign, int exp, ulong man)
if (exp >= 0x7FF)
{
// Infinity.
du.uu = 0x7FF0000000000000;
bits = 0x7FF0000000000000;
}
else if (exp <= 0)
{
Expand All @@ -83,25 +70,25 @@ public static double GetDoubleFromParts(int sign, int exp, ulong man)
if (exp < -52)
{
// Underflow to zero.
du.uu = 0;
bits = 0;
}
else
{
du.uu = man >> -exp;
Debug.Assert(du.uu != 0);
bits = man >> -exp;
Debug.Assert(bits != 0);
}
}
else
{
// Mask off the implicit high bit.
du.uu = (man & 0x000FFFFFFFFFFFFF) | ((ulong)exp << 52);
bits = (man & 0x000FFFFFFFFFFFFF) | ((ulong)exp << 52);
}
}

if (sign < 0)
du.uu |= 0x8000000000000000;
bits |= 0x8000000000000000;

return du.dbl;
return BitConverter.UInt64BitsToDouble(bits);
}

// Do an in-place two's complement. "Dangerous" because it causes
Expand Down Expand Up @@ -139,53 +126,5 @@ public static uint Abs(int a)
return ((uint)a ^ mask) - mask;
}
}

public static uint CombineHash(uint u1, uint u2)
{
return ((u1 << 7) | (u1 >> 25)) ^ u2;
}

public static int CombineHash(int n1, int n2)
{
return unchecked((int)CombineHash((uint)n1, (uint)n2));
}

public static int CbitHighZero(uint u)
{
if (u == 0)
return 32;

int cbit = 0;
if ((u & 0xFFFF0000) == 0)
{
cbit += 16;
u <<= 16;
}
if ((u & 0xFF000000) == 0)
{
cbit += 8;
u <<= 8;
}
if ((u & 0xF0000000) == 0)
{
cbit += 4;
u <<= 4;
}
if ((u & 0xC0000000) == 0)
{
cbit += 2;
u <<= 2;
}
if ((u & 0x80000000) == 0)
cbit += 1;
return cbit;
}

public static int CbitHighZero(ulong uu)
{
if ((uu & 0xFFFFFFFF00000000) == 0)
return 32 + CbitHighZero((uint)uu);
return CbitHighZero((uint)(uu >> 32));
}
}
}