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410 lines
12 KiB
C
410 lines
12 KiB
C
// SONIC ROBO BLAST 2
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//-----------------------------------------------------------------------------
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// Copyright (C) 1993-1996 by id Software, Inc.
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// Copyright (C) 1998-2000 by DooM Legacy Team.
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// Copyright (C) 1999-2020 by Sonic Team Junior.
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//
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// This program is free software distributed under the
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// terms of the GNU General Public License, version 2.
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// See the 'LICENSE' file for more details.
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//-----------------------------------------------------------------------------
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/// \file m_fixed.h
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/// \brief Fixed point arithmetics implementation
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/// Fixed point, 32bit as 16.16.
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#ifndef __M_FIXED__
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#define __M_FIXED__
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#include "doomtype.h"
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#ifdef __GNUC__
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#include <stdlib.h>
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#endif
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/*!
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\brief bits of the fraction
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*/
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#define FRACBITS 16
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/*!
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\brief units of the fraction
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*/
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#define FRACUNIT (1<<FRACBITS)
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#define FRACMASK (FRACUNIT -1)
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/** \brief Redefinition of INT32 as fixed_t
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unit used as fixed_t
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*/
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typedef INT32 fixed_t;
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/*!
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\brief convert fixed_t into floating number
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE float FixedToFloat(fixed_t x)
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{
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return x / (float)FRACUNIT;
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}
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FloatToFixed(float f)
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{
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return (fixed_t)(f * FRACUNIT);
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}
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// for backwards compat
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#define FIXED_TO_FLOAT(x) FixedToFloat(x) // (((float)(x)) / ((float)FRACUNIT))
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#define FLOAT_TO_FIXED(f) FloatToFixed(f) // (fixed_t)((f) * ((float)FRACUNIT))
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#if defined (__WATCOMC__) && FRACBITS == 16
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#pragma aux FixedMul = \
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"imul ebx", \
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"shrd eax,edx,16" \
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parm [eax] [ebx] \
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value [eax] \
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modify exact [eax edx]
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#pragma aux FixedDiv2 = \
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"cdq", \
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"shld edx,eax,16", \
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"sal eax,16", \
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"idiv ebx" \
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parm [eax] [ebx] \
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value [eax] \
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modify exact [eax edx]
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#elif defined (__GNUC__) && defined (__i386__) && !defined (NOASM)
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// DJGPP, i386 linux, cygwin or mingw
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FUNCMATH FUNCINLINE static inline fixed_t FixedMul(fixed_t a, fixed_t b) // asm
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{
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fixed_t ret;
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asm
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(
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"imull %2;" // a*b
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"shrdl %3,%%edx,%0;" // shift logical right FRACBITS bits
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:"=a" (ret) // eax is always the result and the first operand (%0,%1)
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:"0" (a), "r" (b) // and %2 is what we use imull on with what in %1
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, "I" (FRACBITS) // %3 holds FRACBITS (normally 16)
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:"cc", "%edx" // edx and condition codes clobbered
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);
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return ret;
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}
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FUNCMATH FUNCINLINE static inline fixed_t FixedDiv2(fixed_t a, fixed_t b)
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{
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fixed_t ret;
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asm
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(
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"movl %1,%%edx;" // these two instructions allow the next two to pair, on the Pentium processor.
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"sarl $31,%%edx;" // shift arithmetic right 31 on EDX
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"shldl %3,%1,%%edx;" // DP shift logical left FRACBITS on EDX
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"sall %3,%0;" // shift arithmetic left FRACBITS on EAX
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"idivl %2;" // EDX/b = EAX
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: "=a" (ret)
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: "0" (a), "r" (b)
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, "I" (FRACBITS)
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: "%edx"
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);
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return ret;
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}
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#elif defined (__GNUC__) && defined (__arm__) && !defined(__thumb__) && !defined(NOASM) //ARMv4 ASM
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FUNCMATH FUNCINLINE static inline fixed_t FixedMul(fixed_t a, fixed_t b) // let abuse smull
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{
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fixed_t ret;
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asm
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(
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"smull %[lo], r1, %[a], %[b];"
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"mov %[lo], %[lo], lsr %3;"
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"orr %[lo], %[lo], r1, lsl %3;"
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: [lo] "=&r" (ret) // rhi, rlo and rm must be distinct registers
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: [a] "r" (a), [b] "r" (b)
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, "i" (FRACBITS)
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: "r1"
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);
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return ret;
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}
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#define __USE_C_FIXEDDIV__ // no double or asm div in ARM land
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#elif defined (__GNUC__) && defined (__ppc__) && !defined(NOASM) && 0 // WII: PPC CPU
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FUNCMATH FUNCINLINE static inline fixed_t FixedMul(fixed_t a, fixed_t b) // asm
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{
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fixed_t ret, hi, lo;
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asm
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(
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"mullw %0, %2, %3;"
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"mulhw %1, %2, %3"
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: "=r" (hi), "=r" (lo)
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: "r" (a), "r" (b)
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, "I" (FRACBITS)
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);
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ret = (INT64)((hi>>FRACBITS)+lo)<<FRACBITS;
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return ret;
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}
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#define __USE_C_FIXEDDIV__// Alam: I am lazy
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#elif defined (__GNUC__) && defined (__mips__) && !defined(NOASM) && 0 // PSP: MIPS CPU
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FUNCMATH FUNCINLINE static inline fixed_t FixedMul(fixed_t a, fixed_t b) // asm
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{
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fixed_t ret;
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asm
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(
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"mult %3, %4;" // a*b=h<32+l
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: "=r" (ret), "=l" (a), "=h" (b) //todo: abuse shr opcode
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: "0" (a), "r" (b)
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, "I" (FRACBITS)
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//: "+l", "+h"
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);
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ret = (INT64)((a>>FRACBITS)+b)<<FRACBITS;
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return ret;
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}
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#define __USE_C_FIXEDDIV__ // no 64b asm div in MIPS land
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#elif defined (__GNUC__) && defined (__sh__) && 0 // DC: SH4 CPU
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#elif defined (__GNUC__) && defined (__m68k__) && 0 // DEAD: Motorola 6800 CPU
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#elif defined (_MSC_VER) && defined(USEASM) && FRACBITS == 16
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// Microsoft Visual C++ (no asm inline)
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fixed_t __cdecl FixedMul(fixed_t a, fixed_t b);
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fixed_t __cdecl FixedDiv2(fixed_t a, fixed_t b);
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#else
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#define __USE_C_FIXEDMUL__
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#define __USE_C_FIXEDDIV__
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#endif
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#ifdef __USE_C_FIXEDMUL__
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FUNCMATH fixed_t FixedMul(fixed_t a, fixed_t b);
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#endif
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#ifdef __USE_C_FIXEDDIV__
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FUNCMATH fixed_t FixedDiv2(fixed_t a, fixed_t b);
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#endif
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/** \brief The FixedInt function
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\param a fixed_t number
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\return a/FRACUNIT
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedInt(fixed_t a)
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{
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return FixedMul(a, 1);
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}
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/** \brief The FixedDiv function
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\param a fixed_t number
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\param b fixed_t number
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\return a/b
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedDiv(fixed_t a, fixed_t b)
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{
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if ((abs(a) >> (FRACBITS-2)) >= abs(b))
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return (a^b) < 0 ? INT32_MIN : INT32_MAX;
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return FixedDiv2(a, b);
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}
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/** \brief The FixedSqrt function
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\param x fixed_t number
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\return sqrt(x)
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*/
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FUNCMATH fixed_t FixedSqrt(fixed_t x);
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/** \brief The FixedHypot function
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\param x fixed_t number
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\param y fixed_t number
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\return sqrt(x*x+y*y)
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*/
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FUNCMATH fixed_t FixedHypot(fixed_t x, fixed_t y);
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/** \brief The FixedFloor function
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\param x fixed_t number
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\return floor(x)
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedFloor(fixed_t x)
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{
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const fixed_t a = abs(x); //absolute of x
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const fixed_t i = (a>>FRACBITS)<<FRACBITS; // cut out the fractional part
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const fixed_t f = a-i; // cut out the integral part
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if (f == 0)
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return x;
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if (x != INT32_MIN)
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{ // return rounded down to nearest whole number
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if (x > 0)
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return x-f;
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else
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return x-(FRACUNIT-f);
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}
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return INT32_MIN;
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}
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/** \brief The FixedTrunc function
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\param x fixed_t number
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\return trunc(x)
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedTrunc(fixed_t x)
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{
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const fixed_t a = abs(x); //absolute of x
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const fixed_t i = (a>>FRACBITS)<<FRACBITS; // cut out the fractional part
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const fixed_t f = a-i; // cut out the integral part
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if (x != INT32_MIN)
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{ // return rounded to nearest whole number, towards zero
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if (x > 0)
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return x-f;
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else
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return x+f;
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}
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return INT32_MIN;
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}
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/** \brief The FixedCeil function
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\param x fixed_t number
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\return ceil(x)
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedCeil(fixed_t x)
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{
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const fixed_t a = abs(x); //absolute of x
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const fixed_t i = (a>>FRACBITS)<<FRACBITS; // cut out the fractional part
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const fixed_t f = a-i; // cut out the integral part
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if (f == 0)
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return x;
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if (x == INT32_MIN)
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return INT32_MIN;
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else if (x < FixedFloor(INT32_MAX))
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{ // return rounded up to nearest whole number
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if (x > 0)
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return x+(FRACUNIT-f);
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else
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return x+f;
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}
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return INT32_MAX;
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}
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/** \brief The FixedRound function
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\param x fixed_t number
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\return round(x)
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*/
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FUNCMATH FUNCINLINE static ATTRINLINE fixed_t FixedRound(fixed_t x)
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{
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const fixed_t a = abs(x); //absolute of x
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const fixed_t i = (a>>FRACBITS)<<FRACBITS; // cut out the fractional part
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const fixed_t f = a-i; // cut out the integral part
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if (f == 0)
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return x;
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if (x == INT32_MIN)
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return INT32_MIN;
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else if (x < FixedFloor(INT32_MAX))
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{ // return rounded to nearest whole number, away from zero
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if (x > 0)
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return x+(FRACUNIT-f);
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else
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return x-(FRACUNIT-f);
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}
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return INT32_MAX;
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}
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typedef struct
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{
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fixed_t x;
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fixed_t y;
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} vector2_t;
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vector2_t *FV2_Load(vector2_t *vec, fixed_t x, fixed_t y);
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vector2_t *FV2_UnLoad(vector2_t *vec, fixed_t *x, fixed_t *y);
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vector2_t *FV2_Copy(vector2_t *a_o, const vector2_t *a_i);
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vector2_t *FV2_AddEx(const vector2_t *a_i, const vector2_t *a_c, vector2_t *a_o);
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vector2_t *FV2_Add(vector2_t *a_i, const vector2_t *a_c);
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vector2_t *FV2_SubEx(const vector2_t *a_i, const vector2_t *a_c, vector2_t *a_o);
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vector2_t *FV2_Sub(vector2_t *a_i, const vector2_t *a_c);
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vector2_t *FV2_MulEx(const vector2_t *a_i, fixed_t a_c, vector2_t *a_o);
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vector2_t *FV2_Mul(vector2_t *a_i, fixed_t a_c);
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vector2_t *FV2_DivideEx(const vector2_t *a_i, fixed_t a_c, vector2_t *a_o);
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vector2_t *FV2_Divide(vector2_t *a_i, fixed_t a_c);
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vector2_t *FV2_Midpoint(const vector2_t *a_1, const vector2_t *a_2, vector2_t *a_o);
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fixed_t FV2_Distance(const vector2_t *p1, const vector2_t *p2);
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fixed_t FV2_Magnitude(const vector2_t *a_normal);
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fixed_t FV2_NormalizeEx(const vector2_t *a_normal, vector2_t *a_o);
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fixed_t FV2_Normalize(vector2_t *a_normal);
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vector2_t *FV2_NegateEx(const vector2_t *a_1, vector2_t *a_o);
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vector2_t *FV2_Negate(vector2_t *a_1);
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boolean FV2_Equal(const vector2_t *a_1, const vector2_t *a_2);
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fixed_t FV2_Dot(const vector2_t *a_1, const vector2_t *a_2);
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vector2_t *FV2_Point2Vec (const vector2_t *point1, const vector2_t *point2, vector2_t *a_o);
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typedef struct
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{
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fixed_t x, y, z;
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} vector3_t;
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vector3_t *FV3_Load(vector3_t *vec, fixed_t x, fixed_t y, fixed_t z);
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vector3_t *FV3_UnLoad(vector3_t *vec, fixed_t *x, fixed_t *y, fixed_t *z);
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vector3_t *FV3_Copy(vector3_t *a_o, const vector3_t *a_i);
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vector3_t *FV3_AddEx(const vector3_t *a_i, const vector3_t *a_c, vector3_t *a_o);
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vector3_t *FV3_Add(vector3_t *a_i, const vector3_t *a_c);
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vector3_t *FV3_SubEx(const vector3_t *a_i, const vector3_t *a_c, vector3_t *a_o);
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vector3_t *FV3_Sub(vector3_t *a_i, const vector3_t *a_c);
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vector3_t *FV3_MulEx(const vector3_t *a_i, fixed_t a_c, vector3_t *a_o);
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vector3_t *FV3_Mul(vector3_t *a_i, fixed_t a_c);
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vector3_t *FV3_DivideEx(const vector3_t *a_i, fixed_t a_c, vector3_t *a_o);
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vector3_t *FV3_Divide(vector3_t *a_i, fixed_t a_c);
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vector3_t *FV3_Midpoint(const vector3_t *a_1, const vector3_t *a_2, vector3_t *a_o);
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fixed_t FV3_Distance(const vector3_t *p1, const vector3_t *p2);
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fixed_t FV3_Magnitude(const vector3_t *a_normal);
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fixed_t FV3_NormalizeEx(const vector3_t *a_normal, vector3_t *a_o);
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fixed_t FV3_Normalize(vector3_t *a_normal);
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vector3_t *FV3_NegateEx(const vector3_t *a_1, vector3_t *a_o);
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vector3_t *FV3_Negate(vector3_t *a_1);
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boolean FV3_Equal(const vector3_t *a_1, const vector3_t *a_2);
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fixed_t FV3_Dot(const vector3_t *a_1, const vector3_t *a_2);
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vector3_t *FV3_Cross(const vector3_t *a_1, const vector3_t *a_2, vector3_t *a_o);
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vector3_t *FV3_ClosestPointOnLine(const vector3_t *Line, const vector3_t *p, vector3_t *out);
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void FV3_ClosestPointOnVector(const vector3_t *dir, const vector3_t *p, vector3_t *out);
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void FV3_ClosestPointOnTriangle(const vector3_t *tri, const vector3_t *point, vector3_t *result);
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vector3_t *FV3_Point2Vec(const vector3_t *point1, const vector3_t *point2, vector3_t *a_o);
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fixed_t FV3_Normal(const vector3_t *a_triangle, vector3_t *a_normal);
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fixed_t FV3_Strength(const vector3_t *a_1, const vector3_t *dir);
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fixed_t FV3_PlaneDistance(const vector3_t *a_normal, const vector3_t *a_point);
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boolean FV3_IntersectedPlane(const vector3_t *a_triangle, const vector3_t *a_line, vector3_t *a_normal, fixed_t *originDistance);
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fixed_t FV3_PlaneIntersection(const vector3_t *pOrigin, const vector3_t *pNormal, const vector3_t *rOrigin, const vector3_t *rVector);
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fixed_t FV3_IntersectRaySphere(const vector3_t *rO, const vector3_t *rV, const vector3_t *sO, fixed_t sR);
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vector3_t *FV3_IntersectionPoint(const vector3_t *vNormal, const vector3_t *vLine, fixed_t distance, vector3_t *ReturnVec);
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UINT8 FV3_PointOnLineSide(const vector3_t *point, const vector3_t *line);
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boolean FV3_PointInsideBox(const vector3_t *point, const vector3_t *box);
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typedef struct
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{
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fixed_t m[16];
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} matrix_t;
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void FM_LoadIdentity(matrix_t* matrix);
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void FM_CreateObjectMatrix(matrix_t *matrix, fixed_t x, fixed_t y, fixed_t z, fixed_t anglex, fixed_t angley, fixed_t anglez, fixed_t upx, fixed_t upy, fixed_t upz, fixed_t radius);
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void FM_MultMatrixVec3(const matrix_t *matrix, const vector3_t *vec, vector3_t *out);
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void FM_MultMatrix(matrix_t *dest, const matrix_t *multme);
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void FM_Translate(matrix_t *dest, fixed_t x, fixed_t y, fixed_t z);
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void FM_Scale(matrix_t *dest, fixed_t x, fixed_t y, fixed_t z);
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#endif //m_fixed.h
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