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753 lines
17 KiB
753 lines
17 KiB
/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// OpenGL Mathematics Copyright (c) 2005 - 2012 G-Truc Creation (www.g-truc.net) |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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// Created : 2007-03-14 |
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// Updated : 2008-11-14 |
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// Licence : This source is under MIT License |
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// File : glm/gtx/bit.inl |
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/////////////////////////////////////////////////////////////////////////////////////////////////// |
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|
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namespace glm |
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{ |
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template <typename genIType> |
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GLM_FUNC_QUALIFIER genIType mask |
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( |
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genIType const & count |
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) |
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{ |
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return ((genIType(1) << (count)) - genIType(1)); |
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} |
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VECTORIZE_VEC(mask) |
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|
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// extractField |
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template <typename genIType> |
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GLM_FUNC_QUALIFIER genIType extractField |
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( |
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half const & value, |
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genIType const & first, |
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genIType const & count |
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) |
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{ |
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assert(first + count < sizeof(half)); |
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return (value._data() << first) >> ((sizeof(half) << 3) - count); |
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} |
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template <typename genIType> |
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GLM_FUNC_QUALIFIER genIType extractField |
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( |
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float const & value, |
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genIType const & first, |
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genIType const & count |
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) |
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{ |
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assert(first + count < sizeof(float)); |
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return (detail::uif32(value).i << first) >> ((sizeof(float) << 3) - count); |
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} |
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template <typename genIType> |
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GLM_FUNC_QUALIFIER genIType extractField |
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( |
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double const & value, |
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genIType const & first, |
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genIType const & count |
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) |
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{ |
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assert(first + count < sizeof(double)); |
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return (detail::uif64(value).i << first) >> ((sizeof(double) << genIType(3)) - count); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER genIUType extractField |
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( |
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genIUType const & Value, |
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sizeType const & First, |
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sizeType const & Count |
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) |
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{ |
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sizeType GenSize = sizeof(genIUType) << 3; |
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assert(First + Count <= GenSize); |
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genIUType ShiftLeft = Count ? Value << (GenSize - (Count + First)) : 0; |
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genIUType ShiftBack = ShiftLeft >> genIUType(GenSize - Count); |
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return ShiftBack; |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField |
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( |
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detail::tvec2<genIUType> const & value, |
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sizeType const & first, |
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sizeType const & count |
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) |
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{ |
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return detail::tvec2<genIUType>( |
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extractField(value[0], first, count), |
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extractField(value[1], first, count)); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField |
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( |
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detail::tvec3<genIUType> const & value, |
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sizeType const & first, |
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sizeType const & count |
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) |
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{ |
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return detail::tvec3<genIUType>( |
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extractField(value[0], first, count), |
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extractField(value[1], first, count), |
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extractField(value[2], first, count)); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField |
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( |
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detail::tvec4<genIUType> const & value, |
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sizeType const & first, |
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sizeType const & count |
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) |
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{ |
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return detail::tvec4<genIUType>( |
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extractField(value[0], first, count), |
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extractField(value[1], first, count), |
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extractField(value[2], first, count), |
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extractField(value[3], first, count)); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField |
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( |
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detail::tvec2<genIUType> const & value, |
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detail::tvec2<sizeType> const & first, |
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detail::tvec2<sizeType> const & count |
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) |
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{ |
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return detail::tvec2<genIUType>( |
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extractField(value[0], first[0], count[0]), |
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extractField(value[1], first[1], count[1])); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField |
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( |
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detail::tvec3<genIUType> const & value, |
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detail::tvec3<sizeType> const & first, |
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detail::tvec3<sizeType> const & count |
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) |
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{ |
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return detail::tvec3<genIUType>( |
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extractField(value[0], first[0], count[0]), |
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extractField(value[1], first[1], count[1]), |
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extractField(value[2], first[2], count[2])); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField |
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( |
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detail::tvec4<genIUType> const & value, |
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detail::tvec4<sizeType> const & first, |
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detail::tvec4<sizeType> const & count |
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) |
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{ |
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return detail::tvec4<genIUType>( |
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extractField(value[0], first[0], count[0]), |
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extractField(value[1], first[1], count[1]), |
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extractField(value[2], first[2], count[2]), |
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extractField(value[3], first[3], count[3])); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec2<genIUType> extractField |
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( |
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genIUType const & value, |
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detail::tvec2<sizeType> const & first, |
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detail::tvec2<sizeType> const & count |
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) |
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{ |
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return detail::tvec2<genIUType>( |
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extractField(value, first[0], count[0]), |
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extractField(value, first[1], count[1])); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec3<genIUType> extractField |
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( |
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genIUType const & value, |
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detail::tvec3<sizeType> const & first, |
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detail::tvec3<sizeType> const & count |
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) |
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{ |
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return detail::tvec3<genIUType>( |
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extractField(value, first[0], count[0]), |
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extractField(value, first[1], count[1]), |
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extractField(value, first[2], count[2])); |
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} |
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template <typename genIUType, typename sizeType> |
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GLM_FUNC_QUALIFIER detail::tvec4<genIUType> extractField |
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( |
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genIUType const & value, |
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detail::tvec4<sizeType> const & first, |
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detail::tvec4<sizeType> const & count |
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) |
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{ |
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return detail::tvec4<genIUType>( |
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extractField(value, first[0], count[0]), |
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extractField(value, first[1], count[1]), |
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extractField(value, first[2], count[2]), |
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extractField(value, first[3], count[3])); |
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} |
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// lowestBit |
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template <typename genType> |
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GLM_FUNC_QUALIFIER int lowestBit |
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( |
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genType const & Value |
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) |
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{ |
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assert(Value != genType(0)); // not valid call |
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genType Bit; |
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for(Bit = genType(0); !(Value & (1 << Bit)); ++Bit){} |
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return Bit; |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<int> lowestBit |
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( |
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detail::tvec2<valType> const & value |
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) |
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{ |
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return detail::tvec2<int>( |
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lowestBit(value[0]), |
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lowestBit(value[1])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<int> lowestBit |
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( |
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detail::tvec3<valType> const & value |
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) |
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{ |
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return detail::tvec3<int>( |
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lowestBit(value[0]), |
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lowestBit(value[1]), |
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lowestBit(value[2])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<int> lowestBit |
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( |
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detail::tvec4<valType> const & value |
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) |
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{ |
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return detail::tvec4<int>( |
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lowestBit(value[0]), |
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lowestBit(value[1]), |
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lowestBit(value[2]), |
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lowestBit(value[3])); |
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} |
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// highestBit |
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template <typename genType> |
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GLM_FUNC_QUALIFIER int highestBit |
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( |
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genType const & value |
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) |
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{ |
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assert(value != genType(0)); // not valid call |
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genType bit = genType(-1); |
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for(genType tmp = value; tmp; tmp >>= 1, ++bit){} |
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return bit; |
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} |
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//template <> |
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//GLM_FUNC_QUALIFIER int highestBit<int> |
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//( |
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// int value |
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//) |
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//{ |
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// int bit = -1; |
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// for(int tmp = value; tmp; tmp >>= 1, ++bit); |
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// return bit; |
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//} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<int> highestBit |
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( |
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detail::tvec2<valType> const & value |
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) |
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{ |
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return detail::tvec2<int>( |
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highestBit(value[0]), |
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highestBit(value[1])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<int> highestBit |
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( |
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detail::tvec3<valType> const & value |
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) |
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{ |
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return detail::tvec3<int>( |
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highestBit(value[0]), |
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highestBit(value[1]), |
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highestBit(value[2])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<int> highestBit |
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( |
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detail::tvec4<valType> const & value |
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) |
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{ |
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return detail::tvec4<int>( |
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highestBit(value[0]), |
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highestBit(value[1]), |
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highestBit(value[2]), |
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highestBit(value[3])); |
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} |
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// highestBitValue |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType highestBitValue |
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( |
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genType const & value |
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) |
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{ |
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genType tmp = value; |
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genType result = genType(0); |
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while(tmp) |
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{ |
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result = (tmp & (~tmp + 1)); // grab lowest bit |
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tmp &= ~result; // clear lowest bit |
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} |
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return result; |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<int> highestBitValue |
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( |
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detail::tvec2<valType> const & value |
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) |
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{ |
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return detail::tvec2<int>( |
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highestBitValue(value[0]), |
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highestBitValue(value[1])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<int> highestBitValue |
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( |
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detail::tvec3<valType> const & value |
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) |
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{ |
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return detail::tvec3<int>( |
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highestBitValue(value[0]), |
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highestBitValue(value[1]), |
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highestBitValue(value[2])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<int> highestBitValue |
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( |
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detail::tvec4<valType> const & value |
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) |
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{ |
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return detail::tvec4<int>( |
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highestBitValue(value[0]), |
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highestBitValue(value[1]), |
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highestBitValue(value[2]), |
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highestBitValue(value[3])); |
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} |
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// isPowerOfTwo |
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template <typename genType> |
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GLM_FUNC_QUALIFIER bool isPowerOfTwo(genType const & Value) |
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{ |
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//detail::If<std::numeric_limits<genType>::is_signed>::apply(abs, Value); |
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//return !(Value & (Value - 1)); |
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// For old complier? |
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genType Result = Value; |
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if(std::numeric_limits<genType>::is_signed) |
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Result = abs(Result); |
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return !(Result & (Result - 1)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<bool> isPowerOfTwo |
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( |
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detail::tvec2<valType> const & value |
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) |
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{ |
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return detail::tvec2<bool>( |
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isPowerOfTwo(value[0]), |
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isPowerOfTwo(value[1])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<bool> isPowerOfTwo |
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( |
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detail::tvec3<valType> const & value |
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) |
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{ |
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return detail::tvec3<bool>( |
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isPowerOfTwo(value[0]), |
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isPowerOfTwo(value[1]), |
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isPowerOfTwo(value[2])); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<bool> isPowerOfTwo |
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( |
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detail::tvec4<valType> const & value |
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) |
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{ |
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return detail::tvec4<bool>( |
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isPowerOfTwo(value[0]), |
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isPowerOfTwo(value[1]), |
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isPowerOfTwo(value[2]), |
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isPowerOfTwo(value[3])); |
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} |
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// powerOfTwoAbove |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType powerOfTwoAbove(genType const & value) |
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{ |
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return isPowerOfTwo(value) ? value : highestBitValue(value) << 1; |
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} |
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VECTORIZE_VEC(powerOfTwoAbove) |
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// powerOfTwoBelow |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType powerOfTwoBelow |
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( |
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genType const & value |
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) |
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{ |
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return isPowerOfTwo(value) ? value : highestBitValue(value); |
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} |
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VECTORIZE_VEC(powerOfTwoBelow) |
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// powerOfTwoNearest |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType powerOfTwoNearest |
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( |
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genType const & value |
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) |
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{ |
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if(isPowerOfTwo(value)) |
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return value; |
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genType prev = highestBitValue(value); |
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genType next = prev << 1; |
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return (next - value) < (value - prev) ? next : prev; |
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} |
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VECTORIZE_VEC(powerOfTwoNearest) |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType bitRevert(genType const & In) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRevert' only accept integer values"); |
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genType Out = 0; |
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std::size_t BitSize = sizeof(genType) * 8; |
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for(std::size_t i = 0; i < BitSize; ++i) |
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if(In & (genType(1) << i)) |
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Out |= genType(1) << (BitSize - 1 - i); |
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return Out; |
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} |
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VECTORIZE_VEC(bitRevert) |
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType bitRotateRight(genType const & In, std::size_t Shift) |
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{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRotateRight' only accept integer values"); |
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std::size_t BitSize = sizeof(genType) * 8; |
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return (In << Shift) | (In >> (BitSize - Shift)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<valType> bitRotateRight |
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( |
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detail::tvec2<valType> const & Value, |
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std::size_t Shift |
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) |
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{ |
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return detail::tvec2<valType>( |
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bitRotateRight(Value[0], Shift), |
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bitRotateRight(Value[1], Shift)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<valType> bitRotateRight |
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( |
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detail::tvec3<valType> const & Value, |
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std::size_t Shift |
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) |
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{ |
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return detail::tvec3<valType>( |
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bitRotateRight(Value[0], Shift), |
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bitRotateRight(Value[1], Shift), |
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bitRotateRight(Value[2], Shift)); |
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} |
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec4<valType> bitRotateRight |
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( |
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detail::tvec4<valType> const & Value, |
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std::size_t Shift |
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) |
|
{ |
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return detail::tvec4<valType>( |
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bitRotateRight(Value[0], Shift), |
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bitRotateRight(Value[1], Shift), |
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bitRotateRight(Value[2], Shift), |
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bitRotateRight(Value[3], Shift)); |
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} |
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|
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template <typename genType> |
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GLM_FUNC_QUALIFIER genType bitRotateLeft(genType const & In, std::size_t Shift) |
|
{ |
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GLM_STATIC_ASSERT(std::numeric_limits<genType>::is_integer, "'bitRotateLeft' only accept integer values"); |
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|
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std::size_t BitSize = sizeof(genType) * 8; |
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return (In >> Shift) | (In << (BitSize - Shift)); |
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} |
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|
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec2<valType> bitRotateLeft |
|
( |
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detail::tvec2<valType> const & Value, |
|
std::size_t Shift |
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) |
|
{ |
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return detail::tvec2<valType>( |
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bitRotateLeft(Value[0], Shift), |
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bitRotateLeft(Value[1], Shift)); |
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} |
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|
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template <typename valType> |
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GLM_FUNC_QUALIFIER detail::tvec3<valType> bitRotateLeft |
|
( |
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detail::tvec3<valType> const & Value, |
|
std::size_t Shift |
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) |
|
{ |
|
return detail::tvec3<valType>( |
|
bitRotateLeft(Value[0], Shift), |
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bitRotateLeft(Value[1], Shift), |
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bitRotateLeft(Value[2], Shift)); |
|
} |
|
|
|
template <typename valType> |
|
GLM_FUNC_QUALIFIER detail::tvec4<valType> bitRotateLeft |
|
( |
|
detail::tvec4<valType> const & Value, |
|
std::size_t Shift |
|
) |
|
{ |
|
return detail::tvec4<valType>( |
|
bitRotateLeft(Value[0], Shift), |
|
bitRotateLeft(Value[1], Shift), |
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bitRotateLeft(Value[2], Shift), |
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bitRotateLeft(Value[3], Shift)); |
|
} |
|
|
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER genIUType fillBitfieldWithOne |
|
( |
|
genIUType const & Value, |
|
int const & FromBit, |
|
int const & ToBit |
|
) |
|
{ |
|
assert(FromBit <= ToBit); |
|
assert(ToBit <= sizeof(genIUType) * std::size_t(8)); |
|
|
|
genIUType Result = Value; |
|
for(std::size_t i = 0; i <= ToBit; ++i) |
|
Result |= (1 << i); |
|
return Result; |
|
} |
|
|
|
template <typename genIUType> |
|
GLM_FUNC_QUALIFIER genIUType fillBitfieldWithZero |
|
( |
|
genIUType const & Value, |
|
int const & FromBit, |
|
int const & ToBit |
|
) |
|
{ |
|
assert(FromBit <= ToBit); |
|
assert(ToBit <= sizeof(genIUType) * std::size_t(8)); |
|
|
|
genIUType Result = Value; |
|
for(std::size_t i = 0; i <= ToBit; ++i) |
|
Result &= ~(1 << i); |
|
return Result; |
|
} |
|
|
|
namespace detail |
|
{ |
|
template <typename PARAM, typename RET> |
|
inline RET bitfieldInterleave(PARAM x, PARAM y) |
|
{ |
|
RET Result = 0; |
|
for (int i = 0; i < sizeof(PARAM) * 8; i++) |
|
Result |= (x & 1U << i) << i | (y & 1U << i) << (i + 1); |
|
return Result; |
|
} |
|
|
|
template <> |
|
inline glm::uint16 bitfieldInterleave(glm::uint8 x, glm::uint8 y) |
|
{ |
|
glm::uint16 REG1(x); |
|
glm::uint16 REG2(y); |
|
|
|
REG1 = ((REG1 << 4) | REG1) & glm::uint16(0x0F0F); |
|
REG2 = ((REG2 << 4) | REG2) & glm::uint16(0x0F0F); |
|
|
|
REG1 = ((REG1 << 2) | REG1) & glm::uint16(0x3333); |
|
REG2 = ((REG2 << 2) | REG2) & glm::uint16(0x3333); |
|
|
|
REG1 = ((REG1 << 1) | REG1) & glm::uint16(0x5555); |
|
REG2 = ((REG2 << 1) | REG2) & glm::uint16(0x5555); |
|
|
|
return REG1 | (REG2 << 1); |
|
} |
|
|
|
template <> |
|
inline glm::uint32 bitfieldInterleave(glm::uint16 x, glm::uint16 y) |
|
{ |
|
glm::uint32 REG1(x); |
|
glm::uint32 REG2(y); |
|
|
|
REG1 = ((REG1 << 8) | REG1) & glm::uint32(0x00FF00FF); |
|
REG2 = ((REG2 << 8) | REG2) & glm::uint32(0x00FF00FF); |
|
|
|
REG1 = ((REG1 << 4) | REG1) & glm::uint32(0x0F0F0F0F); |
|
REG2 = ((REG2 << 4) | REG2) & glm::uint32(0x0F0F0F0F); |
|
|
|
REG1 = ((REG1 << 2) | REG1) & glm::uint32(0x33333333); |
|
REG2 = ((REG2 << 2) | REG2) & glm::uint32(0x33333333); |
|
|
|
REG1 = ((REG1 << 1) | REG1) & glm::uint32(0x55555555); |
|
REG2 = ((REG2 << 1) | REG2) & glm::uint32(0x55555555); |
|
|
|
return REG1 | (REG2 << 1); |
|
} |
|
|
|
template <> |
|
inline glm::uint64 bitfieldInterleave(glm::uint32 x, glm::uint32 y) |
|
{ |
|
glm::uint64 REG1(x); |
|
glm::uint64 REG2(y); |
|
|
|
REG1 = ((REG1 << 16) | REG1) & glm::uint64(0x0000FFFF0000FFFF); |
|
REG2 = ((REG2 << 16) | REG2) & glm::uint64(0x0000FFFF0000FFFF); |
|
|
|
REG1 = ((REG1 << 8) | REG1) & glm::uint64(0x00FF00FF00FF00FF); |
|
REG2 = ((REG2 << 8) | REG2) & glm::uint64(0x00FF00FF00FF00FF); |
|
|
|
REG1 = ((REG1 << 4) | REG1) & glm::uint64(0x0F0F0F0F0F0F0F0F); |
|
REG2 = ((REG2 << 4) | REG2) & glm::uint64(0x0F0F0F0F0F0F0F0F); |
|
|
|
REG1 = ((REG1 << 2) | REG1) & glm::uint64(0x3333333333333333); |
|
REG2 = ((REG2 << 2) | REG2) & glm::uint64(0x3333333333333333); |
|
|
|
REG1 = ((REG1 << 1) | REG1) & glm::uint64(0x5555555555555555); |
|
REG2 = ((REG2 << 1) | REG2) & glm::uint64(0x5555555555555555); |
|
|
|
return REG1 | (REG2 << 1); |
|
} |
|
}//namespace detail |
|
|
|
inline int16 bitfieldInterleave(int8 x, int8 y) |
|
{ |
|
union sign8 |
|
{ |
|
int8 i; |
|
uint8 u; |
|
} sign_x, sign_y; |
|
|
|
union sign16 |
|
{ |
|
int16 i; |
|
uint16 u; |
|
} result; |
|
|
|
sign_x.i = x; |
|
sign_y.i = y; |
|
result.u = detail::bitfieldInterleave<int8, int16>(sign_x.u, sign_y.u); |
|
|
|
return result.i; |
|
} |
|
|
|
inline uint16 bitfieldInterleave(uint8 x, uint8 y) |
|
{ |
|
return detail::bitfieldInterleave<uint8, uint16>(x, y); |
|
} |
|
|
|
inline int32 bitfieldInterleave(int16 x, int16 y) |
|
{ |
|
union sign16 |
|
{ |
|
int16 i; |
|
uint16 u; |
|
} sign_x, sign_y; |
|
|
|
union sign32 |
|
{ |
|
int32 i; |
|
uint32 u; |
|
} result; |
|
|
|
sign_x.i = x; |
|
sign_y.i = y; |
|
result.u = detail::bitfieldInterleave<int16, int32>(sign_x.u, sign_y.u); |
|
|
|
return result.i; |
|
} |
|
|
|
inline uint32 bitfieldInterleave(uint16 x, uint16 y) |
|
{ |
|
return detail::bitfieldInterleave<uint16, uint32>(x, y); |
|
} |
|
|
|
inline int64 bitfieldInterleave(int32 x, int32 y) |
|
{ |
|
union sign32 |
|
{ |
|
int32 i; |
|
uint32 u; |
|
} sign_x, sign_y; |
|
|
|
union sign64 |
|
{ |
|
int64 i; |
|
uint64 u; |
|
} result; |
|
|
|
sign_x.i = x; |
|
sign_y.i = y; |
|
result.u = detail::bitfieldInterleave<int32, int64>(sign_x.u, sign_y.u); |
|
|
|
return result.i; |
|
} |
|
|
|
inline uint64 bitfieldInterleave(uint32 x, uint32 y) |
|
{ |
|
return detail::bitfieldInterleave<uint32, uint64>(x, y); |
|
} |
|
}//namespace glm
|
|
|