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497 lines
15 KiB
497 lines
15 KiB
14 years ago
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/*==LICENSE==*
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CyanWorlds.com Engine - MMOG client, server and tools
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Copyright (C) 2011 Cyan Worlds, Inc.
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License
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along with this program. If not, see <http://www.gnu.org/licenses/>.
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You can contact Cyan Worlds, Inc. by email legal@cyan.com
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or by snail mail at:
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Cyan Worlds, Inc.
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14617 N Newport Hwy
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Mead, WA 99021
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*==LICENSE==*/
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#ifndef hsGGeometry3Defined
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#define hsGGeometry3Defined
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#include "hsTypes.h"
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struct hsVector3;
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struct hsPoint3;
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struct hsScalarTriple;
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class hsStream;
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#if HS_BUILD_FOR_PS2
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#include <eekernel.h>
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#include <stdlib.h>
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#include <stdio.h>
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#include <eeregs.h>
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#include <libgraph.h>
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#include <libdma.h>
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#include <libpkt.h>
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#include <sifdev.h>
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#include <libdev.h>
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/**** vu0 inline ****/
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#if 1
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#define inline_asm inline /* inline */
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#else
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#define inline_asm /* not inline */
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#endif
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/******* HeadSpin *******/
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typedef float hsScalar;
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/* -------------------------------------------------------------------------------- */
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/* return(sqrt(x)) */
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inline_asm hsScalar SqrtVU0(hsScalar x)
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{
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register hsScalar ret;
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asm volatile(" \
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mfc1 $8,%1 \
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qmtc2 $8,vf4 \
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vsqrt Q,vf4x \
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vwaitq \
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cfc2 $2,$vi22 \
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mtc1 $2,%0 \
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" :"=f" (ret) : "f" (x), "0" (ret) : "$2", "$8", "memory");
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return ret;
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}
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/* -------------------------------------------------------------------------------- */
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/* return(1 / a) */
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inline_asm hsScalar ScalarInvertVU0(hsScalar a)
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{
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register hsScalar ret;
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asm volatile(" \
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mfc1 $8,%1 \
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qmtc2 $8,vf2 \
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vdiv Q,vf0w,vf2x \
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vwaitq \
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cfc2 $2,$vi22 \
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mtc1 $2,%0 \
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" :"=f" (ret) : "f" (a), "0" (ret) : "$2", "$8", "memory");
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return ret;
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}
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/* -------------------------------------------------------------------------------- */
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/* return(a * b) */
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inline_asm hsScalar ScalarMulVU0(hsScalar a, hsScalar b)
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{
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register hsScalar ret;
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asm volatile(" \
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mfc1 $8,%1 \
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qmtc2 $8,vf2 \
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mfc1 $9,%2 \
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qmtc2 $9,vf3 \
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vmul.x vf3,vf2,vf3 \
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qmfc2 $2 ,vf3 \
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mtc1 $2,%0 \
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" :"=f" (ret) : "f" (a), "f" (b), "0" (ret) : "$2", "$8", "$9", "memory");
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return ret;
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}
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#endif // PS2
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/*
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If value is already close to hsScalar1, then this is a good approx. of 1/sqrt(value)
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*/
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static inline hsScalar hsInvSqrt(hsScalar value)
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{
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hsScalar guess;
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hsScalar threeOverTwo = hsScalar1 + hsScalarHalf;
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value = hsScalarDiv2(value);
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guess = threeOverTwo - value; // with initial guess = 1.0
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// repeat this line for better approx
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guess = hsScalarMul(guess, threeOverTwo - hsScalarMul(hsScalarMul(value, guess), guess));
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guess = hsScalarMul(guess, threeOverTwo - hsScalarMul(hsScalarMul(value, guess), guess));
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return guess;
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}
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/////////////////////////////////////////////////////////////////////////////////////////////
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struct hsScalarTriple
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{
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//protected:
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// hsScalarTriple() : fX(privateData[0]), fY(privateData[1]), fZ(privateData[2]) {}
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// hsScalarTriple(hsScalar x, hsScalar y, hsScalar z)
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// : fX(privateData[0]), fY(privateData[1]), fZ(privateData[2]) { fX = x, fY = y, fZ = z; }
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//
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// union {
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// u_long128 privateTemp;
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// hsScalar privateData[4];
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// };
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//public:
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//
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// int operator=(const hsScalarTriple& o) { privateTemp = o.privateTemp; }
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// hsScalarTriple(const hsScalarTriple& o) : fX(privateData[0]), fY(privateData[1]), fZ(privateData[2])
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// { *this = o; }
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//
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// hsScalar& fX;
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// hsScalar& fY;
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// hsScalar& fZ;
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protected:
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hsScalarTriple() {}
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hsScalarTriple(hsScalar x, hsScalar y, hsScalar z) : fX(x), fY(y), fZ(z) {}
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public:
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hsScalar fX, fY, fZ;
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hsScalarTriple* Set(hsScalar x, hsScalar y, hsScalar z) { fX= x; fY = y; fZ = z; return this;}
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hsScalarTriple* Set(const hsScalarTriple *p) { fX = p->fX; fY = p->fY; fZ = p->fZ; return this;}
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hsScalar InnerProduct(const hsScalarTriple &p) const;
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hsScalar InnerProduct(const hsScalarTriple *p) const;
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// hsScalarTriple LERP(hsScalarTriple &other, hsScalar t);
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#if HS_SCALAR_IS_FIXED
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hsScalar Magnitude() const;
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hsScalar MagnitudeSquared() const;
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#else
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#if HS_BUILD_FOR_PS2
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hsScalar Magnitude() const;
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#else
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hsScalar Magnitude() const { return hsSquareRoot(MagnitudeSquared()); }
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#endif
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hsScalar MagnitudeSquared() const { return (fX * fX + fY * fY + fZ * fZ); }
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#endif
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hsBool IsEmpty() const { return fX == 0 && fY == 0 && fZ == 0; }
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hsScalar operator[](int i) const;
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hsScalar& operator[](int i);
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void Read(hsStream *stream);
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void Write(hsStream *stream) const;
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} ATTRIBUTE_FOR_PS2; /* SUNSOFT */
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#if HS_BUILD_FOR_PS2
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inline hsScalar hsScalarTriple::Magnitude() const
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{
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MATRIX4 m;
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m[0] = fX;
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m[1] = fY;
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m[2] = fZ;
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return MagnitudeVU0(m);
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}
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#endif
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///////////////////////////////////////////////////////////////////////////
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inline hsScalar& hsScalarTriple::operator[] (int i)
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{
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hsAssert(i >=0 && i <3, "Bad index for hsScalarTriple::operator[]");
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return *(&fX + i);
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}
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inline hsScalar hsScalarTriple::operator[] (int i) const
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{
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hsAssert(i >=0 && i <3, "Bad index for hsScalarTriple::operator[]");
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return *(&fX + i);
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}
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inline hsScalar hsScalarTriple::InnerProduct(const hsScalarTriple &p) const
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{
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hsScalar tmp = fX*p.fX;
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tmp += fY*p.fY;
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tmp += fZ*p.fZ;
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return tmp;
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}
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inline hsScalar hsScalarTriple::InnerProduct(const hsScalarTriple *p) const
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{
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hsScalar tmp = fX*p->fX;
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tmp += fY*p->fY;
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tmp += fZ*p->fZ;
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return tmp;
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}
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//inline hsScalarTriple hsScalarTriple::LERP(hsScalarTriple &other, hsScalar t)
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//{
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// hsScalarTriple p = other - this;
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// p = p / t;
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// return this + p;
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//}
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/////////////////////////////////////////////////////////////////////////////////////////////
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struct hsPoint3 : public hsScalarTriple {
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hsPoint3() {};
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hsPoint3(hsScalar x, hsScalar y, hsScalar z) : hsScalarTriple(x,y,z) {}
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explicit hsPoint3(const hsScalarTriple& p) : hsScalarTriple(p) {}
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hsPoint3* Set(hsScalar x, hsScalar y, hsScalar z) { return (hsPoint3*)this->hsScalarTriple::Set(x,y,z);}
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hsPoint3* Set(const hsScalarTriple* p) { return (hsPoint3*)this->hsScalarTriple::Set(p) ;}
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friend inline hsPoint3 operator+(const hsPoint3& s, const hsPoint3& t);
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friend inline hsPoint3 operator+(const hsPoint3& s, const hsVector3& t);
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friend inline hsPoint3 operator-(const hsPoint3& s, const hsPoint3& t);
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friend inline hsPoint3 operator-(const hsPoint3& s);
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friend inline hsPoint3 operator*(const hsScalar& s, const hsPoint3& t);
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friend inline hsPoint3 operator*(const hsPoint3& t, const hsScalar& s);
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friend inline hsPoint3 operator/(const hsPoint3& t, const hsScalar& s);
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hsBool operator==(const hsPoint3& ss) const
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{
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return (ss.fX == fX && ss.fY == fY && ss.fZ == fZ);
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}
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hsBool operator!=(const hsPoint3& ss) const { return !(*this == ss); }
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hsPoint3 &operator+=(const hsScalarTriple &s) { fX += s.fX; fY += s.fY; fZ += s.fZ; return *this; }
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hsPoint3 &operator*=(const hsScalar s) { fX *= s; fY *= s; fZ *= s; return *this; }
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} ATTRIBUTE_FOR_PS2; /* SUNSOFT */
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/////////////////////////////////////////////////////////////////////////////////////////////
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struct hsVector3 : public hsScalarTriple {
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hsVector3() {};
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hsVector3(hsScalar x, hsScalar y, hsScalar z) : hsScalarTriple(x,y,z) {}
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explicit hsVector3(const hsScalarTriple& p) : hsScalarTriple(p) { }
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hsVector3(const hsPoint3 *p1, const hsPoint3 *p2) {
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fX = p1->fX - p2->fX, fY= p1->fY - p2->fY, fZ = p1->fZ - p2->fZ; }
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hsVector3* Set(hsScalar x, hsScalar y, hsScalar z) { return (hsVector3*)hsScalarTriple::Set(x,y,z); }
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hsVector3* Set(const hsScalarTriple* p) { return (hsVector3*)hsScalarTriple::Set(p) ;}
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hsVector3* Set(const hsScalarTriple* p1, const hsScalarTriple* p2) { return Set(p1->fX-p2->fX,p1->fY-p2->fY,p1->fZ-p2->fZ);}
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void Normalize()
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{
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#if HS_BUILD_FOR_PS2
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hsScalar length = this->Magnitude();
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hsIfDebugMessage(length == 0, "Err: Normalizing hsVector3 of length 0", 0);
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if (length == 0)
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return;
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NormalizeVU0(length, (MATRIX4)this);
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#else
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hsScalar length = this->Magnitude();
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// hsIfDebugMessage(length == 0, "Err: Normalizing hsVector3 of length 0", 0);
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if (length == 0)
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return;
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hsScalar invMag = hsScalarInvert(length);
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fX = hsScalarMul(fX, invMag);
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fY = hsScalarMul(fY, invMag);
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fZ = hsScalarMul(fZ, invMag);
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#endif
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}
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inline void Renormalize() // if the vector is already close to unit length
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{
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hsScalar mag2 = *this * *this;
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hsIfDebugMessage(mag2 == 0, "Err: Renormalizing hsVector3 of length 0", 0);
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if (mag2 == 0)
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return;
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hsScalar invMag = hsInvSqrt(mag2);
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fX = hsScalarMul(fX, invMag);
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fY = hsScalarMul(fY, invMag);
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fZ = hsScalarMul(fZ, invMag);
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}
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// hsVector3 &Sub(const hsPoint3& s, const hsPoint3& t)
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// { Set(s.fX - t.fX, s.fY - t.fY, s.fZ - t.fZ);
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// return *this; };
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friend inline hsVector3 operator+(const hsVector3& s, const hsVector3& t);
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friend inline hsVector3 operator-(const hsVector3& s, const hsVector3& t);
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friend inline hsVector3 operator-(const hsVector3& s);
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friend inline hsVector3 operator*(const hsScalar& s, const hsVector3& t);
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friend inline hsVector3 operator*(const hsVector3& t, const hsScalar& s);
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friend inline hsVector3 operator/(const hsVector3& t, const hsScalar& s);
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friend inline hsScalar operator*(const hsVector3& t, const hsVector3& s);
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friend hsVector3 operator%(const hsVector3& t, const hsVector3& s);
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#if 0 // Havok reeks
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friend hsBool32 operator==(const hsVector3& s, const hsVector3& t)
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{
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return (s.fX == t.fX && s.fY == t.fY && s.fZ == t.fZ);
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}
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#else // Havok reeks
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hsBool operator==(const hsVector3& ss) const
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{
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return (ss.fX == fX && ss.fY == fY && ss.fZ == fZ);
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}
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#endif // Havok reeks
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hsVector3 &operator+=(const hsScalarTriple &s) { fX += s.fX; fY += s.fY; fZ += s.fZ; return *this; }
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hsVector3 &operator-=(const hsScalarTriple &s) { fX -= s.fX; fY -= s.fY; fZ -= s.fZ; return *this; }
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hsVector3 &operator*=(const hsScalar s) { fX *= s; fY *= s; fZ *= s; return *this; }
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hsVector3 &operator/=(const hsScalar s) { fX /= s; fY /= s; fZ /= s; return *this; }
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} ATTRIBUTE_FOR_PS2; /* SUNSOFT */
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struct hsPoint4 {
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hsScalar fX, fY, fZ, fW;
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hsPoint4() {}
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hsPoint4(hsScalar x, hsScalar y, hsScalar z, hsScalar w) : fX(x), fY(y), fZ(z), fW(w) {}
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hsScalar& operator[](int i);
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hsScalar operator[](int i) const;
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hsPoint4& operator=(const hsPoint3&p) { Set(p.fX, p.fY, p.fZ, hsScalar1); return *this; }
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hsPoint4* Set(hsScalar x, hsScalar y, hsScalar z, hsScalar w)
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{ fX = x; fY = y; fZ = z; fW = w; return this; }
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} ATTRIBUTE_FOR_PS2; /* SUNSOFT */
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inline hsVector3 operator+(const hsVector3& s, const hsVector3& t)
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{
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hsVector3 result;
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return *result.Set(s.fX + t.fX, s.fY + t.fY, s.fZ + t.fZ);
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}
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inline hsVector3 operator-(const hsVector3& s, const hsVector3& t)
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{
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hsVector3 result;
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return *result.Set(s.fX - t.fX, s.fY - t.fY, s.fZ - t.fZ);
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}
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// unary minus
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inline hsVector3 operator-(const hsVector3& s)
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{
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hsVector3 result;
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return *result.Set(-s.fX, -s.fY, -s.fZ);
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}
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inline hsVector3 operator*(const hsVector3& s, const hsScalar& t)
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{
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hsVector3 result;
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return *result.Set(hsScalarMul(s.fX, t), hsScalarMul(s.fY, t), hsScalarMul(s.fZ, t));
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}
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inline hsVector3 operator/(const hsVector3& s, const hsScalar& t)
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{
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hsVector3 result;
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return *result.Set(hsScalarDiv(s.fX, t), hsScalarDiv(s.fY, t), hsScalarDiv(s.fZ, t));
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}
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inline hsVector3 operator*(const hsScalar& t, const hsVector3& s)
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{
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hsVector3 result;
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return *result.Set(hsScalarMul(s.fX, t), hsScalarMul(s.fY, t), hsScalarMul(s.fZ, t));
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}
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inline hsScalar operator*(const hsVector3& t, const hsVector3& s)
|
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|
{
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|
return hsScalarMul(t.fX, s.fX) + hsScalarMul(t.fY, s.fY) + hsScalarMul(t.fZ, s.fZ);
|
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|
}
|
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|
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|
////////////////////////////////////////////////////////////////////////////
|
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|
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|
inline hsPoint3 operator+(const hsPoint3& s, const hsPoint3& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
|
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|
return *result.Set(s.fX + t.fX, s.fY + t.fY, s.fZ + t.fZ);
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator+(const hsPoint3& s, const hsVector3& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
|
||
|
return *result.Set(s.fX + t.fX, s.fY + t.fY, s.fZ + t.fZ);
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator-(const hsPoint3& s, const hsPoint3& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
|
||
|
return *result.Set(s.fX - t.fX, s.fY - t.fY, s.fZ - t.fZ);
|
||
|
}
|
||
|
|
||
|
// unary -
|
||
|
inline hsPoint3 operator-(const hsPoint3& s)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
return *result.Set(-s.fX, -s.fY, -s.fZ);
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator-(const hsPoint3& s, const hsVector3& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
|
||
|
return *result.Set(s.fX - t.fX, s.fY - t.fY, s.fZ - t.fZ);
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator*(const hsPoint3& s, const hsScalar& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
return *result.Set(hsScalarMul(s.fX, t), hsScalarMul(s.fY, t), hsScalarMul(s.fZ, t));
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator/(const hsPoint3& s, const hsScalar& t)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
return *result.Set(hsScalarDiv(s.fX, t), hsScalarDiv(s.fY, t), hsScalarDiv(s.fZ, t));
|
||
|
}
|
||
|
|
||
|
inline hsPoint3 operator*(const hsScalar& t, const hsPoint3& s)
|
||
|
{
|
||
|
hsPoint3 result;
|
||
|
|
||
|
return *result.Set(hsScalarMul(s.fX, t), hsScalarMul(s.fY, t), hsScalarMul(s.fZ, t));
|
||
|
}
|
||
|
|
||
|
inline hsScalar hsPoint4::operator[] (int i) const
|
||
|
{
|
||
|
hsAssert(i >=0 && i <4, "Bad index for hsPoint4::operator[]");
|
||
|
return *(&fX + i);
|
||
|
}
|
||
|
|
||
|
inline hsScalar& hsPoint4::operator[] (int i)
|
||
|
{
|
||
|
hsAssert(i >=0 && i <4, "Bad index for hsPoint4::operator[]");
|
||
|
return *(&fX + i);
|
||
|
}
|
||
|
|
||
|
typedef hsPoint3 hsGUv;
|
||
|
|
||
|
|
||
|
|
||
|
struct hsPointNorm {
|
||
|
hsPoint3 fPos;
|
||
|
hsVector3 fNorm;
|
||
|
|
||
|
void Read(hsStream* s) { fPos.Read(s); fNorm.Read(s); }
|
||
|
void Write(hsStream* s) const { fPos.Write(s); fNorm.Write(s); }
|
||
|
} ATTRIBUTE_FOR_PS2; /* SUNSOFT */
|
||
|
|
||
|
|
||
|
struct hsPlane3 {
|
||
|
hsVector3 fN;
|
||
|
hsScalar fD;
|
||
|
|
||
|
hsPlane3() { }
|
||
|
hsPlane3(const hsVector3* nrml, hsScalar d)
|
||
|
{ fN = *nrml; fD=d; }
|
||
|
hsPlane3(const hsPoint3* pt, const hsVector3* nrml)
|
||
|
{ fN = *nrml; fD = -pt->InnerProduct(nrml); }
|
||
|
|
||
|
// create plane from a triangle (assumes clockwise winding of vertices)
|
||
|
hsPlane3(const hsPoint3* pt1, const hsPoint3* pt2, const hsPoint3* pt3);
|
||
|
|
||
|
hsVector3 GetNormal() const { return fN; }
|
||
|
|
||
|
void Read(hsStream *stream);
|
||
|
void Write(hsStream *stream) const;
|
||
|
} ATTRIBUTE_FOR_PS2;
|
||
|
|
||
|
#endif
|