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Fixed some undefined (or implementation defined) behavior

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This commit is contained in:
tpoole 2017-08-24 09:13:49 +01:00
parent ba1cba9547
commit 9600016294
11 changed files with 106 additions and 96 deletions
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12
modules/juce_audio_basics/buffers/juce_AudioDataConverters.h
View file

@ -104,7 +104,7 @@ public:
inline float getAsFloatBE() const noexcept { return getAsFloatLE(); }
inline void setAsFloatLE (float newValue) noexcept { *data = (int8) jlimit ((int) -maxValue, (int) maxValue, roundToInt (newValue * (1.0 + maxValue))); }
inline void setAsFloatBE (float newValue) noexcept { setAsFloatLE (newValue); }
inline int32 getAsInt32LE() const noexcept { return (int) (*data << 24); }
inline int32 getAsInt32LE() const noexcept { return (int) (*((uint8*) data) << 24); }
inline int32 getAsInt32BE() const noexcept { return getAsInt32LE(); }
inline void setAsInt32LE (int newValue) noexcept { *data = (int8) (newValue >> 24); }
inline void setAsInt32BE (int newValue) noexcept { setAsInt32LE (newValue); }
@ -129,7 +129,7 @@ public:
inline float getAsFloatBE() const noexcept { return getAsFloatLE(); }
inline void setAsFloatLE (float newValue) noexcept { *data = (uint8) jlimit (0, 255, 128 + roundToInt (newValue * (1.0 + maxValue))); }
inline void setAsFloatBE (float newValue) noexcept { setAsFloatLE (newValue); }
inline int32 getAsInt32LE() const noexcept { return (int) ((*data - 128) << 24); }
inline int32 getAsInt32LE() const noexcept { return (int) (((uint8) (*data - 128)) << 24); }
inline int32 getAsInt32BE() const noexcept { return getAsInt32LE(); }
inline void setAsInt32LE (int newValue) noexcept { *data = (uint8) (128 + (newValue >> 24)); }
inline void setAsInt32BE (int newValue) noexcept { setAsInt32LE (newValue); }
@ -179,8 +179,8 @@ public:
inline float getAsFloatBE() const noexcept { return (float) (ByteOrder::bigEndian24Bit (data) * (1.0 / (1.0 + maxValue))); }
inline void setAsFloatLE (float newValue) noexcept { ByteOrder::littleEndian24BitToChars (jlimit ((int) -maxValue, (int) maxValue, roundToInt (newValue * (1.0 + maxValue))), data); }
inline void setAsFloatBE (float newValue) noexcept { ByteOrder::bigEndian24BitToChars (jlimit ((int) -maxValue, (int) maxValue, roundToInt (newValue * (1.0 + maxValue))), data); }
inline int32 getAsInt32LE() const noexcept { return (int32) ByteOrder::littleEndian24Bit (data) << 8; }
inline int32 getAsInt32BE() const noexcept { return (int32) ByteOrder::bigEndian24Bit (data) << 8; }
inline int32 getAsInt32LE() const noexcept { return (int32) (((unsigned int) ByteOrder::littleEndian24Bit (data)) << 8); }
inline int32 getAsInt32BE() const noexcept { return (int32) (((unsigned int) ByteOrder::bigEndian24Bit (data)) << 8); }
inline void setAsInt32LE (int32 newValue) noexcept { ByteOrder::littleEndian24BitToChars (newValue >> 8, data); }
inline void setAsInt32BE (int32 newValue) noexcept { ByteOrder::bigEndian24BitToChars (newValue >> 8, data); }
inline void clear() noexcept { data[0] = 0; data[1] = 0; data[2] = 0; }
@ -202,8 +202,8 @@ public:
inline void skip (int numSamples) noexcept { data += numSamples; }
inline float getAsFloatLE() const noexcept { return (float) ((1.0 / (1.0 + maxValue)) * (int32) ByteOrder::swapIfBigEndian (*data)); }
inline float getAsFloatBE() const noexcept { return (float) ((1.0 / (1.0 + maxValue)) * (int32) ByteOrder::swapIfLittleEndian (*data)); }
inline void setAsFloatLE (float newValue) noexcept { *data = ByteOrder::swapIfBigEndian ((uint32) (maxValue * jlimit (-1.0, 1.0, (double) newValue))); }
inline void setAsFloatBE (float newValue) noexcept { *data = ByteOrder::swapIfLittleEndian ((uint32) (maxValue * jlimit (-1.0, 1.0, (double) newValue))); }
inline void setAsFloatLE (float newValue) noexcept { *data = ByteOrder::swapIfBigEndian ((uint32) (int32) (maxValue * jlimit (-1.0, 1.0, (double) newValue))); }
inline void setAsFloatBE (float newValue) noexcept { *data = ByteOrder::swapIfLittleEndian ((uint32) (int32) (maxValue * jlimit (-1.0, 1.0, (double) newValue))); }
inline int32 getAsInt32LE() const noexcept { return (int32) ByteOrder::swapIfBigEndian (*data); }
inline int32 getAsInt32BE() const noexcept { return (int32) ByteOrder::swapIfLittleEndian (*data); }
inline void setAsInt32LE (int32 newValue) noexcept { *data = ByteOrder::swapIfBigEndian ((uint32) newValue); }

2
modules/juce_audio_basics/buffers/juce_FloatVectorOperations.cpp
View file

@ -1066,6 +1066,8 @@ public:
ValueType* const data2 = buffer2;
int* const int1 = buffer3;
#else
// These tests deliberately operate on misaligned memory and will be flagged up by
// checks for undefined behavior!
ValueType* const data1 = addBytesToPointer (buffer1.getData(), random.nextInt (16));
ValueType* const data2 = addBytesToPointer (buffer2.getData(), random.nextInt (16));
int* const int1 = addBytesToPointer (buffer3.getData(), random.nextInt (16));

2
modules/juce_audio_formats/codecs/juce_WavAudioFormat.cpp
View file

@ -154,7 +154,7 @@ const char* const WavAudioFormat::tracktionLoopInfo = "tracktion loop info";
//==============================================================================
namespace WavFileHelpers
{
inline int chunkName (const char* const name) noexcept { return (int) ByteOrder::littleEndianInt (name); }
inline int chunkName (const char* const name) noexcept { return (int) ByteOrder::littleEndianInt (name[0], name[1], name[2], name[3]); }
inline size_t roundUpSize (size_t sz) noexcept { return (sz + 3) & ~3u; }
#if JUCE_MSVC

4
modules/juce_core/maths/juce_Random.cpp
View file

@ -64,7 +64,7 @@ Random& Random::getSystemRandom() noexcept
//==============================================================================
int Random::nextInt() noexcept
{
seed = (seed * 0x5deece66dLL + 11) & 0xffffffffffffLL;
seed = (int64) (((((uint64) seed) * 0x5deece66dLL) + 11) & 0xffffffffffffLL);
return (int) (seed >> 16);
}
@ -82,7 +82,7 @@ int Random::nextInt (Range<int> range) noexcept
int64 Random::nextInt64() noexcept
{
return (((int64) nextInt()) << 32) | (int64) (uint64) (uint32) nextInt();
return (int64) ((((uint64) (unsigned int) nextInt()) << 32) | (uint64) (unsigned int) nextInt());
}
bool Random::nextBool() noexcept

46
modules/juce_core/memory/juce_ByteOrder.h
View file

@ -32,7 +32,7 @@ class JUCE_API ByteOrder
public:
//==============================================================================
/** Swaps the upper and lower bytes of a 16-bit integer. */
static uint16 swap (uint16 value) noexcept;
JUCE_CONSTEXPR static uint16 swap (uint16 value) noexcept;
/** Reverses the order of the 4 bytes in a 32-bit integer. */
static uint32 swap (uint32 value) noexcept;
@ -42,7 +42,7 @@ public:
//==============================================================================
/** Swaps the byte order of a 16-bit unsigned int if the CPU is big-endian */
static uint16 swapIfBigEndian (uint16 value) noexcept;
JUCE_CONSTEXPR static uint16 swapIfBigEndian (uint16 value) noexcept;
/** Swaps the byte order of a 32-bit unsigned int if the CPU is big-endian */
static uint32 swapIfBigEndian (uint32 value) noexcept;
@ -51,7 +51,7 @@ public:
static uint64 swapIfBigEndian (uint64 value) noexcept;
/** Swaps the byte order of a 16-bit signed int if the CPU is big-endian */
static int16 swapIfBigEndian (int16 value) noexcept;
JUCE_CONSTEXPR static int16 swapIfBigEndian (int16 value) noexcept;
/** Swaps the byte order of a 32-bit signed int if the CPU is big-endian */
static int32 swapIfBigEndian (int32 value) noexcept;
@ -66,7 +66,7 @@ public:
static double swapIfBigEndian (double value) noexcept;
/** Swaps the byte order of a 16-bit unsigned int if the CPU is little-endian */
static uint16 swapIfLittleEndian (uint16 value) noexcept;
JUCE_CONSTEXPR static uint16 swapIfLittleEndian (uint16 value) noexcept;
/** Swaps the byte order of a 32-bit unsigned int if the CPU is little-endian */
static uint32 swapIfLittleEndian (uint32 value) noexcept;
@ -75,7 +75,7 @@ public:
static uint64 swapIfLittleEndian (uint64 value) noexcept;
/** Swaps the byte order of a 16-bit signed int if the CPU is little-endian */
static int16 swapIfLittleEndian (int16 value) noexcept;
JUCE_CONSTEXPR static int16 swapIfLittleEndian (int16 value) noexcept;
/** Swaps the byte order of a 32-bit signed int if the CPU is little-endian */
static int32 swapIfLittleEndian (int32 value) noexcept;
@ -93,6 +93,9 @@ public:
/** Turns 4 bytes into a little-endian integer. */
static uint32 littleEndianInt (const void* bytes) noexcept;
/** Turns 4 characters into a little-endian integer. */
JUCE_CONSTEXPR static uint32 littleEndianInt (char c1, char c2, char c3, char c4) noexcept;
/** Turns 8 bytes into a little-endian integer. */
static uint64 littleEndianInt64 (const void* bytes) noexcept;
@ -123,7 +126,7 @@ public:
//==============================================================================
/** Returns true if the current CPU is big-endian. */
static bool isBigEndian() noexcept;
JUCE_CONSTEXPR static bool isBigEndian() noexcept;
private:
ByteOrder() JUCE_DELETED_FUNCTION;
@ -137,7 +140,7 @@ private:
#pragma intrinsic (_byteswap_ulong)
#endif
inline uint16 ByteOrder::swap (uint16 n) noexcept
JUCE_CONSTEXPR inline uint16 ByteOrder::swap (uint16 n) noexcept
{
return static_cast<uint16> ((n << 8) | (n >> 8));
}
@ -170,60 +173,63 @@ inline uint64 ByteOrder::swap (uint64 value) noexcept
}
#if JUCE_LITTLE_ENDIAN
inline uint16 ByteOrder::swapIfBigEndian (const uint16 v) noexcept { return v; }
JUCE_CONSTEXPR inline uint16 ByteOrder::swapIfBigEndian (const uint16 v) noexcept { return v; }
inline uint32 ByteOrder::swapIfBigEndian (const uint32 v) noexcept { return v; }
inline uint64 ByteOrder::swapIfBigEndian (const uint64 v) noexcept { return v; }
inline int16 ByteOrder::swapIfBigEndian (const int16 v) noexcept { return v; }
JUCE_CONSTEXPR inline int16 ByteOrder::swapIfBigEndian (const int16 v) noexcept { return v; }
inline int32 ByteOrder::swapIfBigEndian (const int32 v) noexcept { return v; }
inline int64 ByteOrder::swapIfBigEndian (const int64 v) noexcept { return v; }
inline float ByteOrder::swapIfBigEndian (const float v) noexcept { return v; }
inline double ByteOrder::swapIfBigEndian (const double v) noexcept { return v; }
inline uint16 ByteOrder::swapIfLittleEndian (const uint16 v) noexcept { return swap (v); }
JUCE_CONSTEXPR inline uint16 ByteOrder::swapIfLittleEndian (const uint16 v) noexcept { return swap (v); }
inline uint32 ByteOrder::swapIfLittleEndian (const uint32 v) noexcept { return swap (v); }
inline uint64 ByteOrder::swapIfLittleEndian (const uint64 v) noexcept { return swap (v); }
inline int16 ByteOrder::swapIfLittleEndian (const int16 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
JUCE_CONSTEXPR inline int16 ByteOrder::swapIfLittleEndian (const int16 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
inline int32 ByteOrder::swapIfLittleEndian (const int32 v) noexcept { return static_cast<int32> (swap (static_cast<uint32> (v))); }
inline int64 ByteOrder::swapIfLittleEndian (const int64 v) noexcept { return static_cast<int64> (swap (static_cast<uint64> (v))); }
inline float ByteOrder::swapIfLittleEndian (const float v) noexcept { union { uint32 asUInt; float asFloat; } n; n.asFloat = v; n.asUInt = ByteOrder::swap (n.asUInt); return n.asFloat; }
inline float ByteOrder::swapIfLittleEndian (const float v) noexcept { union { uint32 asUInt; float asFloat; } n; n.asFloat = v; n.asUInt = ByteOrder::swap (n.asUInt); return n.asFloat; }
inline double ByteOrder::swapIfLittleEndian (const double v) noexcept { union { uint64 asUInt; double asFloat; } n; n.asFloat = v; n.asUInt = ByteOrder::swap (n.asUInt); return n.asFloat; }
inline uint32 ByteOrder::littleEndianInt (const void* const bytes) noexcept { return *static_cast<const uint32*> (bytes); }
JUCE_CONSTEXPR inline uint32 ByteOrder::littleEndianInt (char c1, char c2, char c3, char c4) noexcept { return (((uint32) c4) << 24) + (((uint32) c3) << 16) + (((uint32) c2) << 8) + (uint32) c1; }
inline uint64 ByteOrder::littleEndianInt64 (const void* const bytes) noexcept { return *static_cast<const uint64*> (bytes); }
inline uint16 ByteOrder::littleEndianShort (const void* const bytes) noexcept { return *static_cast<const uint16*> (bytes); }
inline uint32 ByteOrder::bigEndianInt (const void* const bytes) noexcept { return swap (*static_cast<const uint32*> (bytes)); }
inline uint64 ByteOrder::bigEndianInt64 (const void* const bytes) noexcept { return swap (*static_cast<const uint64*> (bytes)); }
inline uint16 ByteOrder::bigEndianShort (const void* const bytes) noexcept { return swap (*static_cast<const uint16*> (bytes)); }
inline bool ByteOrder::isBigEndian() noexcept { return false; }
JUCE_CONSTEXPR inline bool ByteOrder::isBigEndian() noexcept { return false; }
#else
inline uint16 ByteOrder::swapIfBigEndian (const uint16 v) noexcept { return swap (v); }
JUCE_CONSTEXPR inline uint16 ByteOrder::swapIfBigEndian (const uint16 v) noexcept { return swap (v); }
inline uint32 ByteOrder::swapIfBigEndian (const uint32 v) noexcept { return swap (v); }
inline uint64 ByteOrder::swapIfBigEndian (const uint64 v) noexcept { return swap (v); }
inline int16 ByteOrder::swapIfBigEndian (const int16 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
JUCE_CONSTEXPR inline int16 ByteOrder::swapIfBigEndian (const int16 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
inline int32 ByteOrder::swapIfBigEndian (const int32 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
inline int64 ByteOrder::swapIfBigEndian (const int64 v) noexcept { return static_cast<int16> (swap (static_cast<uint16> (v))); }
inline float ByteOrder::swapIfBigEndian (const float v) noexcept { union { uint32 asUInt; float asFloat; } n; n.asFloat = v; n.asUInt = ByteOrder::swap (n.asUInt); return n.asFloat; }
inline double ByteOrder::swapIfBigEndian (const double v) noexcept { union { uint64 asUInt; double asFloat; } n; n.asFloat = v; n.asUInt = ByteOrder::swap (n.asUInt); return n.asFloat; }
inline uint16 ByteOrder::swapIfLittleEndian (const uint16 v) noexcept { return v; }
JUCE_CONSTEXPR inline uint16 ByteOrder::swapIfLittleEndian (const uint16 v) noexcept { return v; }
inline uint32 ByteOrder::swapIfLittleEndian (const uint32 v) noexcept { return v; }
inline uint64 ByteOrder::swapIfLittleEndian (const uint64 v) noexcept { return v; }
inline int16 ByteOrder::swapIfLittleEndian (const int16 v) noexcept { return v; }
JUCE_CONSTEXPR inline int16 ByteOrder::swapIfLittleEndian (const int16 v) noexcept { return v; }
inline int32 ByteOrder::swapIfLittleEndian (const int32 v) noexcept { return v; }
inline int64 ByteOrder::swapIfLittleEndian (const int64 v) noexcept { return v; }
inline float ByteOrder::swapIfLittleEndian (const float v) noexcept { return v; }
inline double ByteOrder::swapIfLittleEndian (const double v) noexcept { return v; }
inline uint32 ByteOrder::littleEndianInt (const void* const bytes) noexcept { return swap (*static_cast<const uint32*> (bytes)); }
JUCE_CONSTEXPR inline uint32 ByteOrder::littleEndianInt (char c1, char c2, char c3, char c4) noexcept { return (((uint32) c1) << 24) + (((uint32) c2) << 16) + (((uint32) c3) << 8) + (uint32) c4; }
inline uint64 ByteOrder::littleEndianInt64 (const void* const bytes) noexcept { return swap (*static_cast<const uint64*> (bytes)); }
inline uint16 ByteOrder::littleEndianShort (const void* const bytes) noexcept { return swap (*static_cast<const uint16*> (bytes)); }
inline uint32 ByteOrder::bigEndianInt (const void* const bytes) noexcept { return *static_cast<const uint32*> (bytes); }
inline uint64 ByteOrder::bigEndianInt64 (const void* const bytes) noexcept { return *static_cast<const uint64*> (bytes); }
inline uint16 ByteOrder::bigEndianShort (const void* const bytes) noexcept { return *static_cast<const uint16*> (bytes); }
inline bool ByteOrder::isBigEndian() noexcept { return true; }
JUCE_CONSTEXPR inline bool ByteOrder::isBigEndian() noexcept { return true; }
#endif
inline int ByteOrder::littleEndian24Bit (const void* const bytes) noexcept { return (((int) static_cast<const int8*> (bytes)[2]) << 16) | (((int) static_cast<const uint8*> (bytes)[1]) << 8) | ((int) static_cast<const uint8*> (bytes)[0]); }
inline int ByteOrder::bigEndian24Bit (const void* const bytes) noexcept { return (((int) static_cast<const int8*> (bytes)[0]) << 16) | (((int) static_cast<const uint8*> (bytes)[1]) << 8) | ((int) static_cast<const uint8*> (bytes)[2]); }
inline int ByteOrder::littleEndian24Bit (const void* const bytes) noexcept { return (int) ((((unsigned int) static_cast<const int8*> (bytes)[2]) << 16) | (((unsigned int) static_cast<const uint8*> (bytes)[1]) << 8) | ((unsigned int) static_cast<const uint8*> (bytes)[0])); }
inline int ByteOrder::bigEndian24Bit (const void* const bytes) noexcept { return (int) ((((unsigned int) static_cast<const int8*> (bytes)[0]) << 16) | (((unsigned int) static_cast<const uint8*> (bytes)[1]) << 8) | ((unsigned int) static_cast<const uint8*> (bytes)[2])); }
inline void ByteOrder::littleEndian24BitToChars (const int value, void* const destBytes) noexcept { static_cast<uint8*> (destBytes)[0] = (uint8) value; static_cast<uint8*> (destBytes)[1] = (uint8) (value >> 8); static_cast<uint8*> (destBytes)[2] = (uint8) (value >> 16); }
inline void ByteOrder::bigEndian24BitToChars (const int value, void* const destBytes) noexcept { static_cast<uint8*> (destBytes)[0] = (uint8) (value >> 16); static_cast<uint8*> (destBytes)[1] = (uint8) (value >> 8); static_cast<uint8*> (destBytes)[2] = (uint8) value; }

6
modules/juce_core/text/juce_CharPointer_UTF8.h
View file

@ -470,12 +470,10 @@ public:
/** Parses this string as a 64-bit integer. */
int64 getIntValue64() const noexcept
{
#if JUCE_LINUX || JUCE_ANDROID || JUCE_MINGW
return atoll (data);
#elif JUCE_WINDOWS
#if JUCE_WINDOWS
return _atoi64 (data);
#else
return CharacterFunctions::getIntValue <int64, CharPointer_UTF8> (*this);
return atoll (data);
#endif
}

8
modules/juce_core/text/juce_CharacterFunctions.h
View file

@ -243,7 +243,9 @@ public:
template <typename IntType, typename CharPointerType>
static IntType getIntValue (const CharPointerType text) noexcept
{
IntType v = 0;
typedef typename std::make_unsigned<IntType>::type UIntType;
UIntType v = 0;
auto s = text.findEndOfWhitespace();
const bool isNeg = *s == '-';
@ -255,12 +257,12 @@ public:
auto c = s.getAndAdvance();
if (c >= '0' && c <= '9')
v = v * 10 + (IntType) (c - '0');
v = v * 10 + (UIntType) (c - '0');
else
break;
}
return isNeg ? -v : v;
return isNeg ? - (IntType) v : (IntType) v;
}
template <typename ResultType>

2
modules/juce_core/text/juce_String.cpp
View file

@ -211,7 +211,7 @@ private:
{
// (Can't use offsetof() here because of warnings about this not being a POD)
return reinterpret_cast<StringHolder*> (reinterpret_cast<char*> (text.getAddress())
- (reinterpret_cast<size_t> (reinterpret_cast<StringHolder*> (1)->text) - 1));
- (reinterpret_cast<size_t> (reinterpret_cast<StringHolder*> (128)->text) - 128));
}
void compileTimeChecks()

6
modules/juce_cryptography/encryption/juce_BlowFish.cpp
View file

@ -450,8 +450,9 @@ public:
encryptDecryptTest (bf, data.getData(), data.getSize() - 8, data.getSize());
encryptDecryptTest (bf, data.getData(), 0, 8);
// test unaligned data encryption/decryption
{
// Test unaligned data encryption/decryption. This will be flagged up by a check for
// undefined behaviour!
const uintptr_t nudge = static_cast<uintptr_t> (random.nextInt (sizeof(void*) - 1));
void* unalignedData = (void*) (reinterpret_cast<uintptr_t> (data.getData()) + nudge);
size_t newSize = data.getSize() - nudge;
@ -459,6 +460,7 @@ public:
encryptDecryptTest (bf, unalignedData, newSize - 8, newSize);
}
}
}
};
static BlowFishTests blowFishUnitTests;

12
modules/juce_data_structures/app_properties/juce_PropertiesFile.cpp
View file

@ -26,13 +26,13 @@
namespace PropertyFileConstants
{
static const int magicNumber = (int) ByteOrder::littleEndianInt ("PROP");
static const int magicNumberCompressed = (int) ByteOrder::littleEndianInt ("CPRP");
JUCE_CONSTEXPR static const int magicNumber = (int) ByteOrder::littleEndianInt ('P', 'R', 'O', 'P');
JUCE_CONSTEXPR static const int magicNumberCompressed = (int) ByteOrder::littleEndianInt ('C', 'P', 'R', 'P');
static const char* const fileTag = "PROPERTIES";
static const char* const valueTag = "VALUE";
static const char* const nameAttribute = "name";
static const char* const valueAttribute = "val";
JUCE_CONSTEXPR static const char* const fileTag = "PROPERTIES";
JUCE_CONSTEXPR static const char* const valueTag = "VALUE";
JUCE_CONSTEXPR static const char* const nameAttribute = "name";
JUCE_CONSTEXPR static const char* const valueAttribute = "val";
}
//==============================================================================

4
modules/juce_dsp/processors/juce_Oversampling.cpp
View file

@ -492,7 +492,7 @@ Oversampling<SampleType>::Oversampling (size_t newNumChannels, size_t newFactor,
{
jassert (newFactor >= 0 && newFactor <= 4 && newNumChannels > 0);
factorOversampling = 1 << newFactor;
factorOversampling = (size_t) 1 << newFactor;
isMaximumQuality = newMaxQuality;
type = newType;
numChannels = newNumChannels;
@ -543,7 +543,7 @@ template <typename SampleType>
SampleType Oversampling<SampleType>::getLatencyInSamples() noexcept
{
auto latency = static_cast<SampleType> (0);
auto order = 1;
size_t order = 1;
for (size_t n = 0; n < numStages; n++)
{