345 lines
9.7 KiB
Plaintext
345 lines
9.7 KiB
Plaintext
|
/// @ref gtc_round
|
||
|
|
/// @file glm/gtc/round.inl
|
||
|
|
|
||
|
|
#include "../detail/func_integer.hpp"
|
||
|
|
|
||
|
|
namespace glm{
|
||
|
|
namespace detail
|
||
|
|
{
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType, bool compute = false>
|
||
|
|
struct compute_ceilShift
|
||
|
|
{
|
||
|
|
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T)
|
||
|
|
{
|
||
|
|
return v;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
struct compute_ceilShift<T, P, vecType, true>
|
||
|
|
{
|
||
|
|
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & v, T Shift)
|
||
|
|
{
|
||
|
|
return v | (v >> Shift);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType, bool isSigned = true>
|
||
|
|
struct compute_ceilPowerOfTwo
|
||
|
|
{
|
||
|
|
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x)
|
||
|
|
{
|
||
|
|
GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs");
|
||
|
|
|
||
|
|
vecType<T, P> const Sign(sign(x));
|
||
|
|
|
||
|
|
vecType<T, P> v(abs(x));
|
||
|
|
|
||
|
|
v = v - static_cast<T>(1);
|
||
|
|
v = v | (v >> static_cast<T>(1));
|
||
|
|
v = v | (v >> static_cast<T>(2));
|
||
|
|
v = v | (v >> static_cast<T>(4));
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 2>::call(v, 8);
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 4>::call(v, 16);
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 8>::call(v, 32);
|
||
|
|
return (v + static_cast<T>(1)) * Sign;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
struct compute_ceilPowerOfTwo<T, P, vecType, false>
|
||
|
|
{
|
||
|
|
GLM_FUNC_QUALIFIER static vecType<T, P> call(vecType<T, P> const & x)
|
||
|
|
{
|
||
|
|
GLM_STATIC_ASSERT(!std::numeric_limits<T>::is_iec559, "'ceilPowerOfTwo' only accept integer scalar or vector inputs");
|
||
|
|
|
||
|
|
vecType<T, P> v(x);
|
||
|
|
|
||
|
|
v = v - static_cast<T>(1);
|
||
|
|
v = v | (v >> static_cast<T>(1));
|
||
|
|
v = v | (v >> static_cast<T>(2));
|
||
|
|
v = v | (v >> static_cast<T>(4));
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 2>::call(v, 8);
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 4>::call(v, 16);
|
||
|
|
v = compute_ceilShift<T, P, vecType, sizeof(T) >= 8>::call(v, 32);
|
||
|
|
return v + static_cast<T>(1);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <bool is_float, bool is_signed>
|
||
|
|
struct compute_ceilMultiple{};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_ceilMultiple<true, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source > genType(0))
|
||
|
|
return Source + (Multiple - std::fmod(Source, Multiple));
|
||
|
|
else
|
||
|
|
return Source + std::fmod(-Source, Multiple);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_ceilMultiple<false, false>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
genType Tmp = Source - genType(1);
|
||
|
|
return Tmp + (Multiple - (Tmp % Multiple));
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_ceilMultiple<false, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source > genType(0))
|
||
|
|
{
|
||
|
|
genType Tmp = Source - genType(1);
|
||
|
|
return Tmp + (Multiple - (Tmp % Multiple));
|
||
|
|
}
|
||
|
|
else
|
||
|
|
return Source + (-Source % Multiple);
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <bool is_float, bool is_signed>
|
||
|
|
struct compute_floorMultiple{};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_floorMultiple<true, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - std::fmod(Source, Multiple);
|
||
|
|
else
|
||
|
|
return Source - std::fmod(Source, Multiple) - Multiple;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_floorMultiple<false, false>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - Source % Multiple;
|
||
|
|
else
|
||
|
|
{
|
||
|
|
genType Tmp = Source + genType(1);
|
||
|
|
return Tmp - Tmp % Multiple - Multiple;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_floorMultiple<false, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - Source % Multiple;
|
||
|
|
else
|
||
|
|
{
|
||
|
|
genType Tmp = Source + genType(1);
|
||
|
|
return Tmp - Tmp % Multiple - Multiple;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <bool is_float, bool is_signed>
|
||
|
|
struct compute_roundMultiple{};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_roundMultiple<true, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - std::fmod(Source, Multiple);
|
||
|
|
else
|
||
|
|
{
|
||
|
|
genType Tmp = Source + genType(1);
|
||
|
|
return Tmp - std::fmod(Tmp, Multiple) - Multiple;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_roundMultiple<false, false>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - Source % Multiple;
|
||
|
|
else
|
||
|
|
{
|
||
|
|
genType Tmp = Source + genType(1);
|
||
|
|
return Tmp - Tmp % Multiple - Multiple;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <>
|
||
|
|
struct compute_roundMultiple<false, true>
|
||
|
|
{
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER static genType call(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
if(Source >= genType(0))
|
||
|
|
return Source - Source % Multiple;
|
||
|
|
else
|
||
|
|
{
|
||
|
|
genType Tmp = Source + genType(1);
|
||
|
|
return Tmp - Tmp % Multiple - Multiple;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
};
|
||
|
|
}//namespace detail
|
||
|
|
|
||
|
|
////////////////
|
||
|
|
// isPowerOfTwo
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER bool isPowerOfTwo(genType Value)
|
||
|
|
{
|
||
|
|
genType const Result = glm::abs(Value);
|
||
|
|
return !(Result & (Result - 1));
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<bool, P> isPowerOfTwo(vecType<T, P> const & Value)
|
||
|
|
{
|
||
|
|
vecType<T, P> const Result(abs(Value));
|
||
|
|
return equal(Result & (Result - 1), vecType<T, P>(0));
|
||
|
|
}
|
||
|
|
|
||
|
|
//////////////////
|
||
|
|
// ceilPowerOfTwo
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER genType ceilPowerOfTwo(genType value)
|
||
|
|
{
|
||
|
|
return detail::compute_ceilPowerOfTwo<genType, defaultp, tvec1, std::numeric_limits<genType>::is_signed>::call(tvec1<genType, defaultp>(value)).x;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> ceilPowerOfTwo(vecType<T, P> const & v)
|
||
|
|
{
|
||
|
|
return detail::compute_ceilPowerOfTwo<T, P, vecType, std::numeric_limits<T>::is_signed>::call(v);
|
||
|
|
}
|
||
|
|
|
||
|
|
///////////////////
|
||
|
|
// floorPowerOfTwo
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER genType floorPowerOfTwo(genType value)
|
||
|
|
{
|
||
|
|
return isPowerOfTwo(value) ? value : static_cast<genType>(1) << findMSB(value);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> floorPowerOfTwo(vecType<T, P> const & v)
|
||
|
|
{
|
||
|
|
return detail::functor1<T, T, P, vecType>::call(floorPowerOfTwo, v);
|
||
|
|
}
|
||
|
|
|
||
|
|
///////////////////
|
||
|
|
// roundPowerOfTwo
|
||
|
|
|
||
|
|
template <typename genIUType>
|
||
|
|
GLM_FUNC_QUALIFIER genIUType roundPowerOfTwo(genIUType value)
|
||
|
|
{
|
||
|
|
if(isPowerOfTwo(value))
|
||
|
|
return value;
|
||
|
|
|
||
|
|
genIUType const prev = static_cast<genIUType>(1) << findMSB(value);
|
||
|
|
genIUType const next = prev << static_cast<genIUType>(1);
|
||
|
|
return (next - value) < (value - prev) ? next : prev;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> roundPowerOfTwo(vecType<T, P> const & v)
|
||
|
|
{
|
||
|
|
return detail::functor1<T, T, P, vecType>::call(roundPowerOfTwo, v);
|
||
|
|
}
|
||
|
|
|
||
|
|
////////////////
|
||
|
|
// isMultiple
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER bool isMultiple(genType Value, genType Multiple)
|
||
|
|
{
|
||
|
|
return isMultiple(tvec1<genType>(Value), tvec1<genType>(Multiple)).x;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<bool, P> isMultiple(vecType<T, P> const & Value, T Multiple)
|
||
|
|
{
|
||
|
|
return (Value % Multiple) == vecType<T, P>(0);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<bool, P> isMultiple(vecType<T, P> const & Value, vecType<T, P> const & Multiple)
|
||
|
|
{
|
||
|
|
return (Value % Multiple) == vecType<T, P>(0);
|
||
|
|
}
|
||
|
|
|
||
|
|
//////////////////////
|
||
|
|
// ceilMultiple
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER genType ceilMultiple(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
return detail::compute_ceilMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> ceilMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
|
||
|
|
{
|
||
|
|
return detail::functor2<T, P, vecType>::call(ceilMultiple, Source, Multiple);
|
||
|
|
}
|
||
|
|
|
||
|
|
//////////////////////
|
||
|
|
// floorMultiple
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER genType floorMultiple(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
return detail::compute_floorMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> floorMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
|
||
|
|
{
|
||
|
|
return detail::functor2<T, P, vecType>::call(floorMultiple, Source, Multiple);
|
||
|
|
}
|
||
|
|
|
||
|
|
//////////////////////
|
||
|
|
// roundMultiple
|
||
|
|
|
||
|
|
template <typename genType>
|
||
|
|
GLM_FUNC_QUALIFIER genType roundMultiple(genType Source, genType Multiple)
|
||
|
|
{
|
||
|
|
return detail::compute_roundMultiple<std::numeric_limits<genType>::is_iec559, std::numeric_limits<genType>::is_signed>::call(Source, Multiple);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T, precision P, template <typename, precision> class vecType>
|
||
|
|
GLM_FUNC_QUALIFIER vecType<T, P> roundMultiple(vecType<T, P> const & Source, vecType<T, P> const & Multiple)
|
||
|
|
{
|
||
|
|
return detail::functor2<T, P, vecType>::call(roundMultiple, Source, Multiple);
|
||
|
|
}
|
||
|
|
}//namespace glm
|