mirror of
https://github.com/ZDoom/raze-gles.git
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562 lines
16 KiB
C++
562 lines
16 KiB
C++
/*
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** binaryangle.h
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**
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** type safe representations of high precision angle and horizon values.
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** Angle uses natural 32 bit overflow to clamp to one rotation.
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**
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**---------------------------------------------------------------------------
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** Copyright 2020 Christoph Oelckers
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** All rights reserved.
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**
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** Redistribution and use in source and binary forms, with or without
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** modification, are permitted provided that the following conditions
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** are met:
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**
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** 1. Redistributions of source code must retain the above copyright
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** notice, this list of conditions and the following disclaimer.
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** 2. Redistributions in binary form must reproduce the above copyright
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** notice, this list of conditions and the following disclaimer in the
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** documentation and/or other materials provided with the distribution.
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** 3. The name of the author may not be used to endorse or promote products
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** derived from this software without specific prior written permission.
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**
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** THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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** IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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** OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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** IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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** INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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** NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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** DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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** THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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** (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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** THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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**---------------------------------------------------------------------------
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**
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*/
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#pragma once
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#include <math.h>
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#include "m_fixed.h"
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#include "xs_Float.h" // needed for reliably overflowing float->int conversions.
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#include "serializer.h"
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#include "build.h"
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#include "math/cmath.h"
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class FSerializer;
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enum
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{
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BAMBITS = 21,
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BAMUNIT = 1 << BAMBITS,
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SINSHIFT = 14
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};
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//---------------------------------------------------------------------------
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//
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// Constants used for Build sine/cosine functions.
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//
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//---------------------------------------------------------------------------
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constexpr double BAngRadian = pi::pi() * (1. / 1024.);
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constexpr double BRadAngScale = 1. / BAngRadian;
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//---------------------------------------------------------------------------
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//
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// Build sine inline functions.
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//
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//---------------------------------------------------------------------------
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inline int32_t bsin(const int ang, const int8_t shift = 0)
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{
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return shift < 0 ? sintable[ang & 2047] >> abs(shift) : sintable[ang & 2047] << shift;
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}
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inline double bsinf(const double ang, const int8_t shift = 0)
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{
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return g_sin(ang * BAngRadian) * (shift >= -SINSHIFT ? uint64_t(1) << (SINSHIFT + shift) : 1. / (uint64_t(1) << abs(SINSHIFT + shift)));
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}
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//---------------------------------------------------------------------------
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//
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// Build cosine inline functions.
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//
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//---------------------------------------------------------------------------
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inline int32_t bcos(const int ang, const int8_t shift = 0)
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{
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return shift < 0 ? sintable[(ang + 512) & 2047] >> abs(shift) : sintable[(ang + 512) & 2047] << shift;
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}
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inline double bcosf(const double ang, const int8_t shift = 0)
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{
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return g_cos(ang * BAngRadian) * (shift >= -SINSHIFT ? uint64_t(1) << (SINSHIFT + shift) : 1. / (uint64_t(1) << abs(SINSHIFT + shift)));
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}
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//---------------------------------------------------------------------------
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//
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// Shift a Build angle left by 21 bits.
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//
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//---------------------------------------------------------------------------
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inline constexpr int64_t BAngToBAM(int ang)
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{
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return ang << BAMBITS;
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}
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//---------------------------------------------------------------------------
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//
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//
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//
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//---------------------------------------------------------------------------
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class lookangle
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{
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int32_t value;
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constexpr lookangle(int32_t v) : value(v) {}
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friend constexpr lookangle bamlook(int32_t v);
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friend constexpr lookangle q16look(int32_t v);
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friend constexpr lookangle buildlook(int32_t v);
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friend lookangle radlook(double v);
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friend lookangle deglook(double v);
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friend FSerializer &Serialize(FSerializer &arc, const char *key, lookangle &obj, lookangle *defval);
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friend class binangle;
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public:
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lookangle() = default;
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lookangle(const lookangle &other) = default;
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// This class intentionally makes no allowances for implicit type conversions because those would render it ineffective.
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constexpr short asbuild() const { return value >> 21; }
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constexpr double asbuildf() const { return value * (1. / BAMUNIT); }
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constexpr fixed_t asq16() const { return value >> 5; }
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constexpr double asrad() const { return value * (pi::pi() / 0x80000000u); }
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constexpr double asdeg() const { return AngleToFloat(value); }
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constexpr int32_t asbam() const { return value; }
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double fsin() const { return g_sin(asrad()); }
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double fcos() const { return g_cos(asrad()); }
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double ftan() const { return g_tan(asrad()); }
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int bsin(const int8_t& shift = 0) const { return ::bsin(asbuild(), shift); }
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int bcos(const int8_t& shift = 0) const { return ::bcos(asbuild(), shift); }
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bool operator< (lookangle other) const
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{
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return value < other.value;
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}
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bool operator> (lookangle other) const
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{
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return value > other.value;
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}
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bool operator<= (lookangle other) const
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{
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return value <= other.value;
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}
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bool operator>= (lookangle other) const
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{
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return value >= other.value;
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}
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constexpr bool operator== (lookangle other) const
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{
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return value == other.value;
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}
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constexpr bool operator!= (lookangle other) const
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{
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return value != other.value;
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}
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constexpr lookangle &operator+= (lookangle other)
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{
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value += other.value;
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return *this;
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}
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constexpr lookangle &operator-= (lookangle other)
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{
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value -= other.value;
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return *this;
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}
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constexpr lookangle operator+ (lookangle other) const
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{
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return lookangle(value + other.value);
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}
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constexpr lookangle operator- (lookangle other) const
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{
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return lookangle(value - other.value);
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}
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constexpr lookangle &operator<<= (const uint8_t shift)
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{
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value <<= shift;
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return *this;
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}
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constexpr lookangle &operator>>= (const uint8_t shift)
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{
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value >>= shift;
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return *this;
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}
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constexpr lookangle operator<< (const uint8_t shift) const
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{
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return lookangle(value << shift);
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}
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constexpr lookangle operator>> (const uint8_t shift) const
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{
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return lookangle(value >> shift);
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}
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};
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inline constexpr lookangle bamlook(int32_t v) { return lookangle(v); }
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inline constexpr lookangle q16look(int32_t v) { return lookangle(v << 5); }
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inline constexpr lookangle buildlook(int32_t v) { return lookangle(v << BAMBITS); }
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inline lookangle radlook(double v) { return lookangle(xs_CRoundToUInt(v * (0x80000000u / pi::pi()))); }
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inline lookangle deglook(double v) { return lookangle(FloatToAngle(v)); }
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inline FSerializer &Serialize(FSerializer &arc, const char *key, lookangle &obj, lookangle *defval)
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{
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return Serialize(arc, key, obj.value, defval ? &defval->value : nullptr);
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}
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//---------------------------------------------------------------------------
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//
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//
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//
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//---------------------------------------------------------------------------
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class binangle
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{
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uint32_t value;
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constexpr binangle(uint32_t v) : value(v) {}
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friend constexpr binangle bamang(uint32_t v);
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friend constexpr binangle q16ang(uint32_t v);
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friend constexpr binangle buildang(uint32_t v);
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friend binangle buildfang(double v);
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friend binangle radang(double v);
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friend binangle degang(double v);
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friend FSerializer &Serialize(FSerializer &arc, const char *key, binangle &obj, binangle *defval);
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public:
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binangle() = default;
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binangle(const binangle &other) = default;
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// This class intentionally makes no allowances for implicit type conversions because those would render it ineffective.
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constexpr short asbuild() const { return value >> 21; }
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constexpr double asbuildf() const { return value * (1. / BAMUNIT); }
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constexpr fixed_t asq16() const { return value >> 5; }
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constexpr double asrad() const { return value * (pi::pi() / 0x80000000u); }
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constexpr double asdeg() const { return AngleToFloat(value); }
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constexpr uint32_t asbam() const { return value; }
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double fsin() const { return g_sin(asrad()); }
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double fcos() const { return g_cos(asrad()); }
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double ftan() const { return g_tan(asrad()); }
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int bsin(const int8_t& shift = 0) const { return ::bsin(asbuild(), shift); }
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int bcos(const int8_t& shift = 0) const { return ::bcos(asbuild(), shift); }
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constexpr bool operator== (binangle other) const
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{
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return value == other.value;
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}
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constexpr bool operator!= (binangle other) const
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{
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return value != other.value;
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}
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constexpr binangle &operator+= (binangle other)
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{
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value += other.value;
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return *this;
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}
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constexpr binangle &operator-= (binangle other)
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{
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value -= other.value;
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return *this;
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}
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constexpr binangle operator+ (binangle other) const
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{
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return binangle(value + other.value);
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}
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constexpr binangle operator- (binangle other) const
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{
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return binangle(value - other.value);
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}
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constexpr binangle &operator+= (lookangle other)
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{
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value += other.value;
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return *this;
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}
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constexpr binangle &operator-= (lookangle other)
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{
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value -= other.value;
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return *this;
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}
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constexpr binangle operator+ (lookangle other) const
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{
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return binangle(value + other.value);
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}
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constexpr binangle operator- (lookangle other) const
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{
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return binangle(value - other.value);
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}
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constexpr binangle &operator<<= (const uint8_t shift)
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{
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value <<= shift;
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return *this;
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}
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constexpr binangle &operator>>= (const uint8_t shift)
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{
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value >>= shift;
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return *this;
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}
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constexpr binangle operator<< (const uint8_t shift) const
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{
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return binangle(value << shift);
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}
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constexpr binangle operator>> (const uint8_t shift) const
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{
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return binangle(value >> shift);
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}
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};
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inline constexpr binangle bamang(uint32_t v) { return binangle(v); }
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inline constexpr binangle q16ang(uint32_t v) { return binangle(v << 5); }
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inline constexpr binangle buildang(uint32_t v) { return binangle(v << BAMBITS); }
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inline binangle buildfang(double v) { return binangle(xs_CRoundToUInt(v * BAMUNIT)); }
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inline binangle radang(double v) { return binangle(xs_CRoundToUInt(v * (0x80000000u / pi::pi()))); }
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inline binangle degang(double v) { return binangle(FloatToAngle(v)); }
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inline FSerializer &Serialize(FSerializer &arc, const char *key, binangle &obj, binangle *defval)
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{
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return Serialize(arc, key, obj.value, defval ? &defval->value : nullptr);
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}
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//---------------------------------------------------------------------------
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//
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// Constants and functions for use with fixedhoriz and friendly functions.
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//
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//---------------------------------------------------------------------------
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// 280039127 is the maximum horizon in Q16.16 the engine will handle before wrapping around.
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constexpr double horizDiff = 280039127 * 3. / 100.;
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// Degrees needed to convert horizAngle into pitch degrees.
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constexpr double horizDegrees = 183.503609961216825;
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// Ratio to convert inverse tangent to -90/90 degrees of pitch.
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constexpr double horizRatio = horizDegrees / pi::pi();
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// Horizon conversion functions.
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inline double HorizToPitch(double horiz) { return atan2(horiz, horizDiff / 65536.) * horizRatio; }
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inline double HorizToPitch(fixed_t q16horiz) { return atan2(q16horiz, horizDiff) * horizRatio; }
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inline fixed_t PitchToHoriz(double horizAngle) { return xs_CRoundToInt(horizDiff * tan(horizAngle * (pi::pi() / horizDegrees))); }
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inline int32_t PitchToBAM(double horizAngle) { return xs_CRoundToInt(clamp(horizAngle * (1073741823.5 / 45.), -INT32_MAX, INT32_MAX)); }
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inline constexpr double BAMToPitch(int32_t bam) { return bam * (45. / 1073741823.5); }
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//---------------------------------------------------------------------------
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//
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//
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//
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//---------------------------------------------------------------------------
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class fixedhoriz
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{
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fixed_t value;
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constexpr fixedhoriz(fixed_t v) : value(v) {}
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friend constexpr fixedhoriz q16horiz(fixed_t v);
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friend constexpr fixedhoriz buildhoriz(int v);
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friend constexpr fixedhoriz buildfhoriz(double v);
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friend fixedhoriz pitchhoriz(double v);
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friend fixedhoriz bamhoriz(int32_t v);
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friend FSerializer &Serialize(FSerializer &arc, const char *key, fixedhoriz &obj, fixedhoriz *defval);
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public:
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fixedhoriz() = default;
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fixedhoriz(const fixedhoriz &other) = default;
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// This class intentionally makes no allowances for implicit type conversions because those would render it ineffective.
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constexpr short asbuild() const { return FixedToInt(value); }
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constexpr double asbuildf() const { return FixedToFloat(value); }
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constexpr fixed_t asq16() const { return value; }
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double aspitch() const { return HorizToPitch(value); }
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int32_t asbam() const { return PitchToBAM(aspitch()); }
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bool operator< (fixedhoriz other) const
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{
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return value < other.value;
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}
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bool operator> (fixedhoriz other) const
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{
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return value > other.value;
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}
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bool operator<= (fixedhoriz other) const
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{
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return value <= other.value;
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}
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bool operator>= (fixedhoriz other) const
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{
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return value >= other.value;
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}
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constexpr bool operator== (fixedhoriz other) const
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{
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return value == other.value;
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}
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constexpr bool operator!= (fixedhoriz other) const
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{
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return value != other.value;
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}
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constexpr fixedhoriz &operator+= (fixedhoriz other)
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{
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value += other.value;
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return *this;
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}
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constexpr fixedhoriz &operator-= (fixedhoriz other)
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{
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value -= other.value;
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return *this;
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}
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constexpr fixedhoriz operator- () const
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{
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return fixedhoriz(-value);
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}
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constexpr fixedhoriz operator+ (fixedhoriz other) const
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{
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return fixedhoriz(value + other.value);
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}
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constexpr fixedhoriz operator- (fixedhoriz other) const
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{
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return fixedhoriz(value - other.value);
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}
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constexpr fixedhoriz &operator<<= (const uint8_t shift)
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{
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value <<= shift;
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return *this;
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}
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constexpr fixedhoriz &operator>>= (const uint8_t shift)
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{
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value >>= shift;
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return *this;
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}
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constexpr fixedhoriz operator<< (const uint8_t shift) const
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{
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return fixedhoriz(value << shift);
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}
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constexpr fixedhoriz operator>> (const uint8_t shift) const
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{
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return fixedhoriz(value >> shift);
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}
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};
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inline constexpr fixedhoriz q16horiz(fixed_t v) { return fixedhoriz(v); }
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inline constexpr fixedhoriz buildhoriz(int v) { return fixedhoriz(IntToFixed(v)); }
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inline constexpr fixedhoriz buildfhoriz(double v) { return fixedhoriz(FloatToFixed(v)); }
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inline fixedhoriz pitchhoriz(double v) { return fixedhoriz(PitchToHoriz(v)); }
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inline fixedhoriz bamhoriz(int32_t v) { return pitchhoriz(BAMToPitch(v)); }
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inline FSerializer &Serialize(FSerializer &arc, const char *key, fixedhoriz &obj, fixedhoriz *defval)
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{
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return Serialize(arc, key, obj.value, defval ? &defval->value : nullptr);
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}
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//---------------------------------------------------------------------------
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//
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// Double-precision implementation of `getangle()` with associated wrappers and helper functions.
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//
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//---------------------------------------------------------------------------
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inline double bradarangf(const double& vect)
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{
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return atan(vect) * BRadAngScale;
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}
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inline double bvectangf(const int32_t& x, const int32_t& y)
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{
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if ((x | y) == 0)
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{
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return 0;
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}
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else if (x == 0)
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{
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return 512 + ((y < 0) << 10);
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}
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else if (y == 0)
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{
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return ((x < 0) << 10);
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}
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else if (x == y)
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{
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return 256 + ((x < 0) << 10);
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}
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else if (x == -y)
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{
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return 768 + ((x > 0) << 10);
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}
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else if (abs(x) > abs(y))
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{
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return fmod(bradarangf(double(y) / x) + ((x < 0) << 10), 2048.);
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}
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else
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{
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return fmod(bradarangf(double(x) / -y) + 512 + ((y < 0) << 10), 2048.);
|
|
}
|
|
}
|
|
inline int32_t bvectang(const int32_t& x, const int32_t& y)
|
|
{
|
|
return xs_CRoundToInt(bvectangf(x, y));
|
|
}
|
|
inline fixed_t bvectangq16(const int32_t& x, const int32_t& y)
|
|
{
|
|
return FloatToFixed(bvectangf(x, y));
|
|
}
|
|
inline binangle bvectangbam(const int32_t& x, const int32_t& y)
|
|
{
|
|
return bamang(xs_CRoundToUInt(bvectangf(x, y) * BAMUNIT));
|
|
}
|