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math3d_2.cpp
275 lines (229 loc) · 7.02 KB
/
math3d_2.cpp
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// This code is in the public domain. See LICENSE for details.
// math3d implementation
#include "types.h"
#include "math3d_2.h"
namespace fr
{
static void frSinCos(sF32 parm, sF32* sinv, sF32* cosv)
{
__asm
{
mov eax, [cosv];
mov ebx, [sinv];
fld dword ptr [parm];
fsincos;
fstp dword ptr [eax];
fstp dword ptr [ebx];
}
}
// ---- vector2
void vector2::addscale(const vector2& a, const sF32 f)
{
x += a.x * f;
y += a.y * f;
}
void vector2::addscale(const vector2& a, const vector2& b, const sF32 f)
{
x = a.x + b.x * f;
y = a.y + b.y * f;
}
sF32 vector2::dot(const vector2& a) const
{
return x * a.x + y * a.y;
}
void vector2::lerp(const vector2& s1, const vector2& s2, sF32 t)
{
x=s1.x + (s2.x - s1.x) * t;
y=s1.y + (s2.y - s1.y) * t;
}
sF32 vector2::distanceToSquared(const vector2& v2) const
{
return (x - v2.x) * (x - v2.x) + (y - v2.y) * (y - v2.y);
}
// ---- vector
vector vector::operator * (const matrix& m) const
{
vector ret = *this;
ret.transform(m);
return ret;
}
void vector::addscale(const vector& a, const sF32 f)
{
x += a.x * f;
y += a.y * f;
z += a.z * f;
}
void vector::addscale(const vector& a, const vector& b, const sF32 f)
{
x = a.x + b.x * f;
y = a.y + b.y * f;
z = a.z + b.z * f;
}
void vector::transform(const vector& src, const matrix& m)
{
v[0]=src.v[0]*m(0,0)+src.v[1]*m(1,0)+src.v[2]*m(2,0)+m(3,0);
v[1]=src.v[0]*m(0,1)+src.v[1]*m(1,1)+src.v[2]*m(2,1)+m(3,1);
v[2]=src.v[0]*m(0,2)+src.v[1]*m(1,2)+src.v[2]*m(2,2)+m(3,2);
}
void vector::transform(const matrix& m)
{
vector ret=*this;
transform(ret, m);
}
void vector::rotate(const vector& src, const matrix& m)
{
v[0]=src.v[0]*m(0,0)+src.v[1]*m(1,0)+src.v[2]*m(2,0);
v[1]=src.v[0]*m(0,1)+src.v[1]*m(1,1)+src.v[2]*m(2,1);
v[2]=src.v[0]*m(0,2)+src.v[1]*m(1,2)+src.v[2]*m(2,2);
}
void vector::rotate(const matrix& m)
{
vector ret = *this;
rotate(ret, m);
}
sF32 vector::dot(const vector& a) const
{
return x*a.x+y*a.y+z*a.z;
}
void vector::cross(const vector& a, const vector& b)
{
x=a.y*b.z-a.z*b.y;
y=a.z*b.x-a.x*b.z;
z=a.x*b.y-a.y*b.x;
}
void vector::lerp(const vector& s1, const vector& s2, sF32 t)
{
x=s1.x+(s2.x-s1.x)*t;
y=s1.y+(s2.y-s1.y)*t;
z=s1.z+(s2.z-s1.z)*t;
}
sF32 vector::distanceToSquared(const vector& v2) const
{
return (x-v2.x)*(x-v2.x)+(y-v2.y)*(y-v2.y)+(z-v2.z)*(z-v2.z);
}
vector& vector::operator *= (const matrix& m)
{
transform(m);
return *this;
}
// ---- matrix
void matrix::invertTranslateVia(const matrix& in)
{
(*this)(3,0)=-((*this)(0,0)*in(3,0) + (*this)(1,0)*in(3,1) + (*this)(2,0)*in(3,2));
(*this)(3,1)=-((*this)(0,1)*in(3,0) + (*this)(1,1)*in(3,1) + (*this)(2,1)*in(3,2));
(*this)(3,2)=-((*this)(0,2)*in(3,0) + (*this)(1,2)*in(3,1) + (*this)(2,2)*in(3,2));
(*this)(3,3)=1.0f;
}
void matrix::mul(const matrix& a, const matrix& b)
{
for (sInt i=0; i<4; i++)
{
for (sInt j=0; j<4; j++)
{
(*this)(i,j)=a(i,0)*b(0,j)+a(i,1)*b(1,j)+a(i,2)*b(2,j)+a(i,3)*b(3,j);
}
}
}
void matrix::inverseAP(const matrix& in)
{
sF32 scale=1.0f/(in(0,0)*in(0,0)+in(0,1)*in(0,1)+in(0,2)*in(0,2));
(*this)(0,0)=scale*in(0,0); (*this)(0,1)=scale*in(1,0); (*this)(0,2)=scale*in(2,0); (*this)(0,3)=0;
(*this)(1,0)=scale*in(0,1); (*this)(1,1)=scale*in(1,1); (*this)(1,2)=scale*in(2,1); (*this)(1,3)=0;
(*this)(2,0)=scale*in(0,2); (*this)(2,1)=scale*in(1,2); (*this)(2,2)=scale*in(2,2); (*this)(2,3)=0;
invertTranslateVia(in);
}
void matrix::inverse(const matrix& in)
{
sF32 scale=1.0f/(in(0,0)*in(1,1)*in(2,2)+in(1,0)*in(2,1)*in(0,2)+in(2,0)*in(0,1)*in(1,2)-
in(0,0)*in(2,1)*in(1,2)-in(1,0)*in(0,1)*in(2,2)-in(2,0)*in(1,1)*in(0,2));
(*this)(0,0)=scale*(in(1,1)*in(2,2) - in(1,2)*in(2,1));
(*this)(0,1)=scale*(in(2,1)*in(0,2) - in(0,1)*in(2,2));
(*this)(0,2)=scale*(in(0,1)*in(1,2) - in(1,1)*in(0,2));
(*this)(0,3)=0;
(*this)(1,0)=scale*(in(2,0)*in(1,2) - in(1,0)*in(2,2));
(*this)(1,1)=scale*(in(0,0)*in(2,2) - in(0,2)*in(2,0));
(*this)(1,2)=scale*(in(1,0)*in(0,2) - in(0,0)*in(1,2));
(*this)(1,3)=0;
(*this)(2,0)=scale*(in(1,0)*in(2,1) - in(2,0)*in(1,1));
(*this)(2,1)=scale*(in(2,0)*in(0,1) - in(0,0)*in(2,1));
(*this)(2,2)=scale*(in(0,0)*in(1,1) - in(1,0)*in(0,1));
(*this)(2,3)=0;
invertTranslateVia(in);
}
void matrix::transpose(const matrix& in)
{
for (sInt i=0; i<4; i++)
{
for (sInt j=0; j<4; j++)
(*this)(i,j)=in(j,i);
}
}
void matrix::invTrans3x3(const matrix& in)
{
identity();
sF32 scale=1.0f/(in(0,0)*in(1,1)*in(2,2)+in(1,0)*in(2,1)*in(0,2)+in(2,0)*in(0,1)*in(1,2)-
in(0,0)*in(2,1)*in(1,2)-in(1,0)*in(0,1)*in(2,2)-in(2,0)*in(1,1)*in(0,2));
(*this)(0,0)=scale*(in(1,1)*in(2,2) - in(1,2)*in(2,1));
(*this)(0,1)=scale*(in(2,0)*in(1,2) - in(1,0)*in(2,2));
(*this)(0,2)=scale*(in(1,0)*in(2,1) - in(2,0)*in(1,1));
(*this)(1,0)=scale*(in(2,1)*in(0,2) - in(0,1)*in(2,2));
(*this)(1,1)=scale*(in(0,0)*in(2,2) - in(0,2)*in(2,0));
(*this)(1,2)=scale*(in(2,0)*in(0,1) - in(0,0)*in(2,1));
(*this)(2,0)=scale*(in(0,1)*in(1,2) - in(1,1)*in(0,2));
(*this)(2,1)=scale*(in(1,0)*in(0,2) - in(0,0)*in(1,2));
(*this)(2,2)=scale*(in(0,0)*in(1,1) - in(1,0)*in(0,1));
}
sF32 matrix::det3x3() const
{
const matrix& m = *this;
return m(0,0) * m(1,1) * m(2,2) + m(0,1) * m(1,2) * m(2,0) + m(0,2) * m(1,0) * m(2,1)
- m(2,0) * m(1,1) * m(0,2) - m(2,1) * m(1,2) * m(0,0) - m(2,2) * m(1,0) * m(0,1);
}
void matrix::identity()
{
memset(_v, 0, sizeof(sF32)*4*4);
(*this)(0,0)=1.0f;
(*this)(1,1)=1.0f;
(*this)(2,2)=1.0f;
(*this)(3,3)=1.0f;
}
void matrix::rotateHPB(sF32 hd, sF32 pt, sF32 bk)
{
sF32 sh, ch, sp, cp, sb, cb;
frSinCos(hd, &sh, &ch);
frSinCos(pt, &sp, &cp);
frSinCos(bk, &sb, &cb);
(*this)(0,0)=ch*cb+sb*sp*sh;
(*this)(0,1)=ch*sb-sh*sp*cb;
(*this)(0,2)=sh*cp;
(*this)(0,3)=0;
(*this)(1,0)=-sb*cp;
(*this)(1,1)=cp*cb;
(*this)(1,2)=sp;
(*this)(1,3)=0;
(*this)(2,0)=ch*sp*sb-sh*cb;
(*this)(2,1)=-ch*sp*cb-sh*sb;
(*this)(2,2)=ch*cp;
(*this)(2,3)=0;
(*this)(3,0)=0;
(*this)(3,1)=0;
(*this)(3,2)=0;
(*this)(3,3)=1;
}
void matrix::camera(const vector& pos, const vector& lookAt, const vector& up)
{
vector fwd = lookAt - pos;
fwd.norm();
vector upt = up;
upt.norm();
if (fwd.distanceToSquared(upt)<1e-6f)
upt.z+=1e-7f;
vector upp = upt - (fwd * (upt * fwd));
upp.norm();
vector rgt=upp%fwd;
(*this)(0,0)=rgt.x; (*this)(0,1)=upp.x; (*this)(0,2)=fwd.x; (*this)(0,3)=(sF32) 0.0f;
(*this)(1,0)=rgt.y; (*this)(1,1)=upp.y; (*this)(1,2)=fwd.y; (*this)(1,3)=(sF32) 0.0f;
(*this)(2,0)=rgt.z; (*this)(2,1)=upp.z; (*this)(2,2)=fwd.z; (*this)(2,3)=(sF32) 0.0f;
(*this)(3,0)=-pos*rgt; (*this)(3,1)=-pos*upp; (*this)(3,2)=-pos*fwd; (*this)(3,3)=(sF32) 1.0f;
}
}