From 4531ac88d3c022866d564be40c20593de4c70bfc Mon Sep 17 00:00:00 2001
From: Piotr Dziwinski <piotrdz@gmail.com>
Date: Fri, 22 Jun 2012 15:54:16 +0200
Subject: Moved old implementations to src/old

---
 src/old/math3d.cpp | 1197 ++++++++++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 1197 insertions(+)
 create mode 100644 src/old/math3d.cpp

(limited to 'src/old/math3d.cpp')

diff --git a/src/old/math3d.cpp b/src/old/math3d.cpp
new file mode 100644
index 0000000..a9d67f2
--- /dev/null
+++ b/src/old/math3d.cpp
@@ -0,0 +1,1197 @@
+// * This file is part of the COLOBOT source code
+// * Copyright (C) 2001-2008, Daniel ROUX & EPSITEC SA, www.epsitec.ch
+// *
+// * This program is free software: you can redistribute it and/or modify
+// * it under the terms of the GNU General Public License as published by
+// * the Free Software Foundation, either version 3 of the License, or
+// * (at your option) any later version.
+// *
+// * This program is distributed in the hope that it will be useful,
+// * but WITHOUT ANY WARRANTY; without even the implied warranty of
+// * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+// * GNU General Public License for more details.
+// *
+// * You should have received a copy of the GNU General Public License
+// * along with this program. If not, see  http://www.gnu.org/licenses/.
+
+// math3d.cpp
+
+#define STRICT
+#define D3D_OVERLOADS
+
+#include <math.h>
+#include <stdio.h>
+#include <d3d.h>
+
+#include "graphics/d3d/d3dengine.h"
+#include "math/old/d3dmath.h"
+#include "graphics/d3d/d3dutil.h"
+#include "math/old/math3d.h"
+
+
+// Old defines
+#define MATH3D_PI				3.14159265358979323846f
+#define MATH3D_CHOUIA			1e-6f
+#define MATH3D_BEAUCOUP		1e6f
+
+
+// Old FPOINT struct
+struct FPOINT
+{
+	float	x;
+	float	y;
+
+	FPOINT() { }
+	FPOINT(float _x, float _y)
+	{
+		x = _x;
+		y = _y;
+	}
+};
+
+
+// === Functions already replaced by new implementation ===
+
+//>>> func.h IsEqual()
+bool		IsEqual(float a, float b);
+
+//>>> func.h Min()
+float		Min(float a, float b);
+float		Min(float a, float b, float c);
+float		Min(float a, float b, float c, float d);
+float		Min(float a, float b, float c, float d, float e);
+
+//>>> func.h Max()
+float		Max(float a, float b);
+float		Max(float a, float b, float c);
+float		Max(float a, float b, float c, float d);
+float		Max(float a, float b, float c, float d, float e);
+
+//>>> func.h Norm()
+float		Norm(float a);
+//>>> fabs()
+float		Abs(float a);
+
+//>>> func.h Swap()
+void		Swap(int &a, int &b);
+//>>> func.h Swap()
+void		Swap(float &a, float &b);
+//>>> point.h Swap()
+void		Swap(FPOINT &a, FPOINT &b);
+
+//>>> func.h Mod()
+float		Mod(float a, float m);
+//>>> func.h NormAngle()
+float		NormAngle(float angle);
+//>>> func.h TestAngle()
+bool		TestAngle(float angle, float min, float max);
+
+//>>> geometry.h RotateAngle()
+float		RotateAngle(FPOINT center, FPOINT p1, FPOINT p2);
+
+//>>> func.h Direction()
+float		Direction(float a, float g);
+
+//>>> geometry.h RotatePoint()
+FPOINT		RotatePoint(FPOINT center, float angle, FPOINT p);
+//>>> geometry.h RotatePoint()
+FPOINT		RotatePoint(float angle, FPOINT p);
+//>>> geometry.h RotatePoint()
+FPOINT		RotatePoint(float angle, float dist);
+//>>> geometry.h RotateAngle()
+float		RotateAngle(float x, float y);
+//>>> geometry.h RotatePoint()
+void		RotatePoint(float cx, float cy, float angle, float &px, float &py);
+
+//>>> geometry.h IsInsideTriangle()
+bool			IsInsideTriangle(FPOINT a, FPOINT b, FPOINT c, FPOINT p);
+
+//>>> point.h Distance()
+float		Length(FPOINT a, FPOINT b);
+
+//>>> point.h Point::Length()
+float		Length(float x, float y);
+
+//>>> func.h Rand()
+float		Rand();
+//>>> func.h Neutral()
+float		Neutral(float value, float dead);
+
+//>>> func.h PropAngle()
+float		Prop(int a, int b, float p);
+//>>> func.h Smooth()
+float		Smooth(float actual, float hope, float time);
+//>>> func.h Bounce()
+float		Bounce(float progress, float middle=0.3f, float bounce=0.4f);
+
+
+//>>> geometry.h SegmentPoint()
+D3DVECTOR	SegmentDist(const D3DVECTOR &p1, const D3DVECTOR &p2, float dist);
+
+//>>> geometry.h Intersect()
+bool			Intersect(D3DVECTOR a, D3DVECTOR b, D3DVECTOR c, D3DVECTOR d, D3DVECTOR e, D3DVECTOR &i);
+
+//>>> geometry.h IntersectY()
+bool			IntersectY(D3DVECTOR a, D3DVECTOR b, D3DVECTOR c, D3DVECTOR &p);
+
+//>>> geometry.h RotatePoint()
+void			RotatePoint(D3DVECTOR center, float angleH, float angleV, D3DVECTOR &p);
+
+//>>> geometry.h RotatePoint2()
+void			RotatePoint2(D3DVECTOR center, float angleH, float angleV, D3DVECTOR &p);
+
+//>>> geometry.h RotateView()
+D3DVECTOR	RotateView(D3DVECTOR center, float angleH, float angleV, float dist);
+
+//>>> geometry.h LookatPoint()
+D3DVECTOR	LookatPoint( D3DVECTOR eye, float angleH, float angleV, float length );
+
+//>>> vector.h Vector::Length()
+float		Length(const D3DVECTOR &u);
+
+//>>> vector.h Distance()
+float		Length(const D3DVECTOR &a, const D3DVECTOR &b);
+
+//>>> geometry.h DistanceProjected()
+float		Length2d(const D3DVECTOR &a, const D3DVECTOR &b);
+
+//>>> vector.h Angle()
+float		Angle( D3DVECTOR u, D3DVECTOR v );
+
+//>>> vector.h CrossProduct()
+D3DVECTOR	Cross( D3DVECTOR u, D3DVECTOR v );
+
+//>>> geometry.h NormalToPlane()
+D3DVECTOR	ComputeNormal( D3DVECTOR p1, D3DVECTOR p2, D3DVECTOR p3 );
+
+//>>> geometry.h Transform()
+D3DVECTOR	Transform(const D3DMATRIX &m, D3DVECTOR p);
+
+//>>> geometry.h Projection()
+D3DVECTOR	Projection(const D3DVECTOR &a, const D3DVECTOR &b, const D3DVECTOR &p);
+
+//>>> geometry.h DistanceToPlane()
+float		DistancePlanPoint(const D3DVECTOR &a, const D3DVECTOR &b, const D3DVECTOR &c, const D3DVECTOR &p);
+
+//>>> geometry.h IsSamePlane()
+bool			IsSamePlane(D3DVECTOR *plan1, D3DVECTOR *plan2);
+
+//>>> geometry.h LoadRotationXZYMatrix()
+void			MatRotateXZY(D3DMATRIX &mat, D3DVECTOR angle);
+
+//>>> geometry.h LoadRotationZXYMatrix()
+void			MatRotateZXY(D3DMATRIX &mat, D3DVECTOR angle);
+
+
+
+// UNUSED
+float		MidPoint(FPOINT a, FPOINT b, float px);
+
+// UNUSED
+bool		LineFunction(FPOINT p1, FPOINT p2, float &a, float &b);
+
+
+
+
+// Returns true if two numbers are nearly equal.
+
+bool IsEqual(float a, float b)
+{
+	return Abs(a-b) < MATH3D_CHOUIA;
+}
+
+
+// Returns the minimum value.
+
+float Min(float a, float b)
+{
+	if ( a <= b )  return a;
+	else           return b;
+}
+
+float Min(float a, float b, float c)
+{
+	return Min( Min(a,b), c );
+}
+
+float Min(float a, float b, float c, float d)
+{
+	return Min( Min(a,b), Min(c,d) );
+}
+
+float Min(float a, float b, float c, float d, float e)
+{
+	return Min( Min(a,b), Min(c,d), e );
+}
+
+
+// Returns the maximum value.
+
+float Max(float a, float b)
+{
+	if ( a >= b )  return a;
+	else           return b;
+}
+
+float Max(float a, float b, float c)
+{
+	return Max( Max(a,b), c );
+}
+
+float Max(float a, float b, float c, float d)
+{
+	return Max( Max(a,b), Max(c,d) );
+}
+
+float Max(float a, float b, float c, float d, float e)
+{
+	return Max( Max(a,b), Max(c,d), e );
+}
+
+
+// Returns the normalized value (0 .. 1).
+
+float Norm(float a)
+{
+	if ( a < 0.0f )  return 0.0f;
+	if ( a > 1.0f )  return 1.0f;
+	return a;
+}
+
+
+// Returns the absolute value of a number.
+
+float Abs(float a)
+{
+	return (float)fabs(a);
+}
+
+
+// Swaps two integers.
+
+void Swap(int &a, int &b)
+{
+	int		c;
+
+	c = a;
+	a = b;
+	b = c;
+}
+
+// Swaps two real numbers.
+
+void Swap(float &a, float &b)
+{
+	float	c;
+
+	c = a;
+	a = b;
+	b = c;
+}
+
+// Permutes two points.
+
+void Swap(FPOINT &a, FPOINT &b)
+{
+	FPOINT	c;
+
+	c = a;
+	a = b;
+	b = c;
+}
+
+// Returns the modulo of a floating point number.
+//	Mod(8.1, 4) = 0.1
+//	Mod(n, 1) = fractional part of n
+
+float Mod(float a, float m)
+{
+	return a - ((int)(a/m))*m;
+}
+
+// Returns a normalized angle, that is in other words between 0 and 2 * MATH3D_PI.
+
+float NormAngle(float angle)
+{
+	angle = Mod(angle, MATH3D_PI*2.0f);
+	if ( angle < 0.0f )
+	{
+		return MATH3D_PI*2.0f + angle;
+	}
+	else
+	{
+		return angle;
+	}
+}
+
+// Test if a angle is between two terminals.
+
+bool TestAngle(float angle, float min, float max)
+{
+	angle = NormAngle(angle);
+	min   = NormAngle(min);
+	max   = NormAngle(max);
+
+	if ( min > max )
+	{
+		return ( angle <= max || angle >= min );
+	}
+	else
+	{
+		return ( angle >= min && angle <= max );
+	}
+}
+
+
+// Calculates the angle to rotate the angle a to the angle g.
+// A positive angle is counterclockwise (CCW).
+
+float Direction(float a, float g)
+{
+	a = NormAngle(a);
+	g = NormAngle(g);
+
+	if ( a < g )
+	{
+		if ( a+MATH3D_PI*2.0f-g < g-a )  a += MATH3D_PI*2.0f;
+	}
+	else
+	{
+		if ( g+MATH3D_PI*2.0f-a < a-g )  g += MATH3D_PI*2.0f;
+	}
+	return (g-a);
+}
+
+
+// Rotates a point around a center.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+FPOINT RotatePoint(FPOINT center, float angle, FPOINT p)
+{
+	FPOINT	a, b;
+
+	a.x = p.x-center.x;
+	a.y = p.y-center.y;
+
+	b.x = a.x*cosf(angle) - a.y*sinf(angle);
+	b.y = a.x*sinf(angle) + a.y*cosf(angle);
+
+	b.x += center.x;
+	b.y += center.y;
+	return b;
+}
+
+// Rotates a point around the origin.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+FPOINT RotatePoint(float angle, FPOINT p)
+{
+	FPOINT	a;
+
+	a.x = p.x*cosf(angle) - p.y*sinf(angle);
+	a.y = p.x*sinf(angle) + p.y*cosf(angle);
+
+	return a;
+}
+
+// Rotates a vector (dist, 0).
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+FPOINT RotatePoint(float angle, float dist)
+{
+	FPOINT	a;
+
+	a.x = dist*cosf(angle);
+	a.y = dist*sinf(angle);
+
+	return a;
+}
+
+// Calculates the angle of a right triangle.
+// The angle is counterclockwise (CCW), between 0 and 2 * MATH3D_PI.
+// For an angle clockwise (CW), just go ahead.
+//
+//      ^
+//      |
+//    y o----o
+//      |  / |
+//      |/)a |
+//  ----o----o-->
+//      |    x 
+//      |
+
+float RotateAngle(float x, float y)
+{
+#if 1
+	if ( x == 0.0f && y == 0.0f )  return 0.0f;
+
+	if ( x >= 0.0f )
+	{
+		if ( y >= 0.0f )
+		{
+			if ( x > y )  return           atanf(y/x);
+			else          return MATH3D_PI*0.5f - atanf(x/y);
+		}
+		else
+		{
+			if ( x > -y )  return MATH3D_PI*2.0f + atanf(y/x);
+			else           return MATH3D_PI*1.5f - atanf(x/y);
+		}
+	}
+	else
+	{
+		if ( y >= 0.0f )
+		{
+			if ( -x > y )  return MATH3D_PI*1.0f + atanf(y/x);
+			else           return MATH3D_PI*0.5f - atanf(x/y);
+		}
+		else
+		{
+			if ( -x > -y )  return MATH3D_PI*1.0f + atanf(y/x);
+			else            return MATH3D_PI*1.5f - atanf(x/y);
+		}
+	}
+#else
+	float	angle;
+
+	if ( x == 0.0f )
+	{
+		if ( y > 0.0f )
+		{
+			return 90.0f*MATH3D_PI/180.0f;
+		}
+		else
+		{
+			return 270.0f*MATH3D_PI/180.0f;
+		}
+	}
+	else
+	{
+		angle = atanf(y/x);
+		if ( x < 0.0f )
+		{
+			angle += MATH3D_PI;
+		}
+		return angle;
+	}
+#endif
+}
+
+// Calculates the angle between two points and one center.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+float RotateAngle(FPOINT center, FPOINT p1, FPOINT p2)
+{
+	float	a1, a2, a;
+
+	if ( p1.x == center.x &&
+		 p1.y == center.y )  return 0;
+
+	if ( p2.x == center.x &&
+		 p2.y == center.y )  return 0;
+
+	a1 = asinf((p1.y-center.y)/Length(p1,center));
+	a2 = asinf((p2.y-center.y)/Length(p2,center));
+
+	if ( p1.x < center.x )  a1 = MATH3D_PI-a1;
+	if ( p2.x < center.x )  a2 = MATH3D_PI-a2;
+
+	a = a2-a1;
+	if ( a < 0 )  a += MATH3D_PI*2;
+	return a;
+}
+
+// Returns py up on the line ab.
+
+float MidPoint(FPOINT a, FPOINT b, float px)
+{
+	if ( Abs(a.x-b.x) < MATH3D_CHOUIA )
+	{
+		if ( a.y < b.y )  return  MATH3D_BEAUCOUP;
+		else              return -MATH3D_BEAUCOUP;
+	}
+	return (b.y-a.y)*(px-a.x)/(b.x-a.x)+a.y;
+}
+
+// Advance "dist" along the segment p1-p2.
+
+D3DVECTOR SegmentDist(const D3DVECTOR &p1, const D3DVECTOR &p2, float dist)
+{
+	return p1+Normalize(p2-p1)*dist;
+}
+
+// Check if a point is inside a triangle.
+
+bool IsInsideTriangle(FPOINT a, FPOINT b, FPOINT c, FPOINT p)
+{
+	float	n, m;
+
+	if ( p.x < a.x && p.x < b.x && p.x < c.x )  return false;
+	if ( p.x > a.x && p.x > b.x && p.x > c.x )  return false;
+	if ( p.y < a.y && p.y < b.y && p.y < c.y )  return false;
+	if ( p.y > a.y && p.y > b.y && p.y > c.y )  return false;
+
+	if ( a.x > b.x )  Swap(a,b);
+	if ( a.x > c.x )  Swap(a,c);
+	if ( c.x < a.x )  Swap(c,a);
+	if ( c.x < b.x )  Swap(c,b);
+
+	n = MidPoint(a, b, p.x);
+	m = MidPoint(a, c, p.x);
+	if ( (n>p.y||p.y>m) && (n<p.y||p.y<m) )  return false;
+
+	n = MidPoint(c, b, p.x);
+	m = MidPoint(c, a, p.x);
+	if ( (n>p.y||p.y>m) && (n<p.y||p.y<m) )  return false;
+
+	return true;
+}
+
+// Calculates the intersection "i" right "of" the plan "abc".
+
+bool Intersect(D3DVECTOR a, D3DVECTOR b, D3DVECTOR c,
+			   D3DVECTOR d, D3DVECTOR e, D3DVECTOR &i)
+{
+	float	d1, d2;
+
+	d1 = (d.x-a.x)*((b.y-a.y)*(c.z-a.z)-(c.y-a.y)*(b.z-a.z)) -
+		 (d.y-a.y)*((b.x-a.x)*(c.z-a.z)-(c.x-a.x)*(b.z-a.z)) +
+		 (d.z-a.z)*((b.x-a.x)*(c.y-a.y)-(c.x-a.x)*(b.y-a.y));
+
+	d2 = (d.x-e.x)*((b.y-a.y)*(c.z-a.z)-(c.y-a.y)*(b.z-a.z)) -
+		 (d.y-e.y)*((b.x-a.x)*(c.z-a.z)-(c.x-a.x)*(b.z-a.z)) +
+		 (d.z-e.z)*((b.x-a.x)*(c.y-a.y)-(c.x-a.x)*(b.y-a.y));
+
+	if ( d2 == 0 )  return false;
+
+	i.x = d.x + d1/d2*(e.x-d.x);
+	i.y = d.y + d1/d2*(e.y-d.y);
+	i.z = d.z + d1/d2*(e.z-d.z);
+	return true;
+}
+
+// Calculates the intersection of the straight line passing through p (x, z)
+// parallel to the y axis, with the plane abc. Returns p.y.
+
+bool IntersectY(D3DVECTOR a, D3DVECTOR b, D3DVECTOR c, D3DVECTOR &p)
+{
+#if 0
+	D3DVECTOR	d,e,i;
+
+	d.x = p.x;
+	d.y = 0.0f;
+	d.z = p.z;
+	e.x = p.x;
+	e.y = 1.0f;
+	e.z = p.z;
+	if ( !Intersect(a,b,c,d,e,i) )  return false;
+	p.y = i.y;
+	return true;
+#else
+	float	d, d1, d2;
+
+	d  = (b.x-a.x)*(c.z-a.z) - (c.x-a.x)*(b.z-a.z);
+	d1 = (p.x-a.x)*(c.z-a.z) - (c.x-a.x)*(p.z-a.z);
+	d2 = (b.x-a.x)*(p.z-a.z) - (p.x-a.x)*(b.z-a.z);
+
+	if ( d == 0.0f )  return false;
+
+	p.y = a.y + d1/d*(b.y-a.y) + d2/d*(c.y-a.y);
+	return true;
+#endif
+}
+
+
+// Rotates a point around a center in the plan.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+void RotatePoint(float cx, float cy, float angle, float &px, float &py)
+{
+	float	ax, ay;
+
+	px -= cx;
+	py -= cy;
+
+	ax = px*cosf(angle) - py*sinf(angle);
+	ay = px*sinf(angle) + py*cosf(angle);
+
+	px = cx+ax;
+	py = cy+ay;
+}
+
+// Rotates a point around a center in space.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+void RotatePoint(D3DVECTOR center, float angleH, float angleV, D3DVECTOR &p)
+{
+	D3DVECTOR	a, b;
+
+	p.x -= center.x;
+	p.y -= center.y;
+	p.z -= center.z;
+
+	b.x = p.x*cosf(angleH) - p.z*sinf(angleH);
+	b.y = p.z*sinf(angleV) + p.y*cosf(angleV);
+	b.z = p.x*sinf(angleH) + p.z*cosf(angleH);
+
+	p.x = center.x+b.x;
+	p.y = center.y+b.y;
+	p.z = center.z+b.z;
+}
+
+// Rotates a point around a center in space.
+// The angle is in radians.
+// A positive angle is counterclockwise (CCW).
+
+void RotatePoint2(D3DVECTOR center, float angleH, float angleV, D3DVECTOR &p)
+{
+	D3DVECTOR	a, b;
+
+	p.x -= center.x;
+	p.y -= center.y;
+	p.z -= center.z;
+
+	a.x = p.x*cosf(angleH) - p.z*sinf(angleH);
+	a.y = p.y;
+	a.z = p.x*sinf(angleH) + p.z*cosf(angleH);
+
+	b.x = a.x;
+	b.y = a.z*sinf(angleV) + a.y*cosf(angleV);
+	b.z = a.z*cosf(angleV) - a.y*sinf(angleV);
+
+	p.x = center.x+b.x;
+	p.y = center.y+b.y;
+	p.z = center.z+b.z;
+}
+
+// Calculation point of view to look at a center
+// two angles and a distance.
+
+D3DVECTOR RotateView(D3DVECTOR center, float angleH, float angleV, float dist)
+{
+	D3DMATRIX	mat1, mat2, mat;
+	D3DVECTOR	eye;
+
+	D3DUtil_SetRotateZMatrix(mat1, -angleV);
+	D3DUtil_SetRotateYMatrix(mat2, -angleH);
+	D3DMath_MatrixMultiply(mat, mat1, mat2);
+
+	eye.x = 0.0f+dist;
+	eye.y = 0.0f;
+	eye.z = 0.0f;
+	eye = Transform(mat, eye);
+
+	return eye+center;
+}
+
+// Calculates the end point.
+
+D3DVECTOR LookatPoint( D3DVECTOR eye, float angleH, float angleV, float length )
+{
+	D3DVECTOR	lookat;
+
+	lookat = eye;
+	lookat.z += length;
+
+//?	RotatePoint(eye.x, eye.z, angleH, lookat.x, lookat.z);
+//?	RotatePoint(eye.z, eye.y, angleV, lookat.z, lookat.y);
+	RotatePoint(eye, angleH, angleV, lookat);
+
+	return lookat;
+}
+
+
+// Returns the distance between two points.
+
+float Length(FPOINT a, FPOINT b)
+{
+	return sqrtf( (a.x-b.x)*(a.x-b.x) +
+				  (a.y-b.y)*(a.y-b.y) );
+}
+
+// Returns the hypotenuse of a right triangle.
+
+float Length(float x, float y)
+{
+	return sqrtf( (x*x) + (y*y) );
+}
+
+// Returns the length of a vector.
+
+float Length(const D3DVECTOR &u)
+{
+	return sqrtf( (u.x*u.x) + (u.y*u.y) + (u.z*u.z) );
+}
+
+// Returns the distance between two points.
+
+float Length(const D3DVECTOR &a, const D3DVECTOR &b)
+{
+	return sqrtf( (a.x-b.x)*(a.x-b.x) +
+				  (a.y-b.y)*(a.y-b.y) +
+				  (a.z-b.z)*(a.z-b.z) );
+}
+
+// Returns the distance "a flat" between two points.
+
+float Length2d(const D3DVECTOR &a, const D3DVECTOR &b)
+{
+	return sqrtf( (a.x-b.x)*(a.x-b.x) +
+				  (a.z-b.z)*(a.z-b.z) );
+}
+
+
+// Returns the angle formed by two vectors.
+
+float Angle( D3DVECTOR u, D3DVECTOR v )
+{
+#if 0
+	return acosf( Abs(u.x*v.x + u.y*v.y + u.z*v.z) / (Length(u)*Length(v)) );
+#endif
+#if 0
+	float	d;
+	d = (u.y*v.z-u.z*v.y) + (u.z*v.x-u.x*v.z) + (u.x*v.y-u.y*v.x);
+	return asinf( Abs(d) / (Length(u)*Length(v)) );
+#endif
+#if 0
+	return asinf( Length(Cross(u,v)) / (Length(u)*Length(v)) );
+#endif
+#if 1
+	float	len, a, b;
+
+	len = Length(u)*Length(v);
+	a = acosf( (u.x*v.x + u.y*v.y + u.z*v.z) / len );
+	b = asinf( Length(Cross(u,v)) / len );
+	return a;
+#endif
+}
+
+// Returns the product of two vectors.
+
+D3DVECTOR Cross( D3DVECTOR u, D3DVECTOR v )
+{
+	return D3DVECTOR( u.y*v.z - u.z*v.y,
+					  u.z*v.x - u.x*v.z,
+					  u.x*v.y - u.y*v.x );
+}
+
+// Returns the normal vector of a triangular face.
+
+D3DVECTOR ComputeNormal( D3DVECTOR p1, D3DVECTOR p2, D3DVECTOR p3 )
+{
+	D3DVECTOR	u, v;
+
+	u = D3DVECTOR( p3.x-p1.x, p3.y-p1.y, p3.z-p1.z );
+	v = D3DVECTOR( p2.x-p1.x, p2.y-p1.y, p2.z-p1.z );
+
+	return Normalize(Cross(u, v));
+}
+
+
+// Transforms a point in a matrix, in exactly the same manner as Direct3D.
+
+D3DVECTOR Transform(const D3DMATRIX &m, D3DVECTOR p)
+{
+	D3DVECTOR	pp;
+
+	pp.x = p.x*m._11 + p.y*m._21 + p.z*m._31 + m._41;
+	pp.y = p.x*m._12 + p.y*m._22 + p.z*m._32 + m._42;
+	pp.z = p.x*m._13 + p.y*m._23 + p.z*m._33 + m._43;
+
+	return pp;
+}
+
+
+// Calculates the projection of a point P on a straight line AB.
+
+D3DVECTOR Projection(const D3DVECTOR &a, const D3DVECTOR &b, const D3DVECTOR &p)
+{
+	float		k;
+
+	k  = (b.x-a.x)*(p.x-a.x) + (b.y-a.y)*(p.y-a.y) + (b.z-a.z)*(p.z-a.z);
+	k /= (b.x-a.x)*(b.x-a.x) + (b.y-a.y)*(b.y-a.y) + (b.z-a.z)*(b.z-a.z);
+
+	return a + k*(b-a);
+}
+
+// The texture plate in the xz plane.
+
+void MappingObject(D3DVERTEX2* pVertices, int nb, float scale)
+{
+	int		i;
+
+	for ( i=0 ; i<nb ; i++ )
+	{
+		pVertices[i].tu = pVertices[i].x*scale;
+		pVertices[i].tv = pVertices[i].z*scale;
+	}
+}
+
+// Smooths normal.
+
+void SmoothObject(D3DVERTEX2* pVertices, int nb)
+{
+	char*		bDone;
+	int			index[100];
+	int			i, j, rank;
+	D3DVECTOR	sum;
+
+	bDone = (char*)malloc(nb*sizeof(char));
+	ZeroMemory(bDone, nb*sizeof(char));
+
+	for ( i=0 ; i<nb ; i++ )
+	{
+		bDone[i] = true;
+		rank = 0;
+		index[rank++] = i;
+
+		for ( j=0 ; j<nb ; j++ )
+		{
+			if ( bDone[j] )  continue;
+			if ( pVertices[j].x == pVertices[i].x &&
+				 pVertices[j].y == pVertices[i].y &&
+				 pVertices[j].z == pVertices[i].z )
+			{
+				bDone[j] = true;
+				index[rank++] = j;
+				if ( rank >= 100 )  break;
+			}
+		}
+
+		sum.x = 0;
+		sum.y = 0;
+		sum.z = 0;
+		for ( j=0 ; j<rank ; j++ )
+		{
+			sum.x += pVertices[index[j]].nx;
+			sum.y += pVertices[index[j]].ny;
+			sum.z += pVertices[index[j]].nz;
+		}
+		sum = Normalize(sum);
+
+		for ( j=0 ; j<rank ; j++ )
+		{
+			pVertices[index[j]].nx = sum.x;
+			pVertices[index[j]].ny = sum.y;
+			pVertices[index[j]].nz = sum.z;
+		}
+	}
+
+	free(bDone);
+}
+
+
+
+// Calculates the parameters a and b of the segment passing
+// through the points p1 and p2, knowing that:
+//		f(x) = ax+b
+// Returns false if the line is vertical.
+
+bool LineFunction(FPOINT p1, FPOINT p2, float &a, float &b)
+{
+	if ( D3DMath_IsZero(p1.x-p2.x) )
+	{
+		a = g_HUGE;  // infinite slope!
+		b = p2.x;
+		return false;
+	}
+
+	a = (p2.y-p1.y)/(p2.x-p1.x);
+	b = p2.y - p2.x*a;
+	return true;
+}
+
+
+// Calculates the distance between a plane ABC and a point P.
+
+float DistancePlanPoint(const D3DVECTOR &a, const D3DVECTOR &b,
+						const D3DVECTOR &c, const D3DVECTOR &p)
+{
+	D3DVECTOR	n;
+	float		aa,bb,cc,dd;
+
+	n = ComputeNormal(a,b,c);
+
+	aa = n.x;
+	bb = n.y;
+	cc = n.z;
+	dd = -(n.x*a.x + n.y*a.y + n.z*a.z);
+
+	return Abs(aa*p.x + bb*p.y + cc*p.z + dd);
+}
+
+// Check if two planes defined by 3 points are part of the same plan.
+
+bool IsSamePlane(D3DVECTOR *plan1, D3DVECTOR *plan2)
+{
+	D3DVECTOR	n1, n2;
+	float		dist;
+
+	n1 = ComputeNormal(plan1[0], plan1[1], plan1[2]);
+	n2 = ComputeNormal(plan2[0], plan2[1], plan2[2]);
+
+	if ( Abs(n1.x-n2.x) > 0.1f ||
+		 Abs(n1.y-n2.y) > 0.1f ||
+		 Abs(n1.z-n2.z) > 0.1f )  return false;
+
+	dist = DistancePlanPoint(plan1[0], plan1[1], plan1[2], plan2[0]);
+	if ( dist > 0.1f )  return false;
+
+	return true;
+}
+
+
+// Calculates the matrix to make three rotations in the X, Y and Z
+// >>>>>> OPTIMIZING!!!
+
+void MatRotateXZY(D3DMATRIX &mat, D3DVECTOR angle)
+{
+	D3DMATRIX	temp;
+
+	D3DUtil_SetRotateXMatrix(temp, angle.x);
+	D3DUtil_SetRotateZMatrix(mat, angle.z);
+	D3DMath_MatrixMultiply(mat, mat, temp);
+	D3DUtil_SetRotateYMatrix(temp, angle.y);
+	D3DMath_MatrixMultiply(mat, mat, temp);  // X-Z-Y
+}
+
+// Calculates the matrix to make three rotations in the order Z, X and Y.
+// >>>>>> OPTIMIZING!!!
+
+void MatRotateZXY(D3DMATRIX &mat, D3DVECTOR angle)
+{
+	D3DMATRIX	temp;
+
+	D3DUtil_SetRotateZMatrix(temp, angle.z);
+	D3DUtil_SetRotateXMatrix(mat, angle.x);
+	D3DMath_MatrixMultiply(mat, mat, temp);
+	D3DUtil_SetRotateYMatrix(temp, angle.y);
+	D3DMath_MatrixMultiply(mat, mat, temp);  // Z-X-Y
+}
+
+
+// Returns a random value between 0 and 1.
+
+float Rand()
+{
+	return (float)rand()/RAND_MAX;
+}
+
+
+// Managing the dead zone of a joystick.
+
+//  in:   -1            0            1
+//       --|-------|----o----|-------|-->
+//                      <---->
+//                       dead
+//  out:  -1       0         0       1
+
+float Neutral(float value, float dead)
+{
+	if ( Abs(value) <= dead )
+	{
+		return 0.0f;
+	}
+	else
+	{
+		if ( value > 0.0f )  return (value-dead)/(1.0f-dead);
+		else                 return (value+dead)/(1.0f-dead);
+	}
+}
+
+
+// Calculates a value (radians) proportional between a and b (degrees).
+
+float Prop(int a, int b, float p)
+{
+	float	aa, bb;
+
+	aa = (float)a*MATH3D_PI/180.0f;
+	bb = (float)b*MATH3D_PI/180.0f;
+
+	return aa+p*(bb-aa);
+}
+
+// Gently advanced a desired value from its current value.
+// Over time, the greater the progression is rapid.
+
+float Smooth(float actual, float hope, float time)
+{
+	float	futur;
+
+	futur = actual + (hope-actual)*time;
+
+	if ( hope > actual )
+	{
+		if ( futur > hope )  futur = hope;
+	}
+	if ( hope < actual )
+	{
+		if ( futur < hope )  futur = hope;
+	}
+
+	return futur;
+}
+
+
+// Bounces any movement.
+
+//	out
+//	 |
+//	1+------o-------o---
+//	 |    o | o   o |  | bounce
+//	 |   o  |   o---|---
+//	 |  o   |       |
+//	 | o    |       |
+//	-o------|-------+----> progress
+//	0|      |       1
+//	 |<---->|middle
+
+float Bounce(float progress, float middle, float bounce)
+{
+	if ( progress < middle )
+	{
+		progress = progress/middle;  // 0..1
+		return 0.5f+sinf(progress*MATH3D_PI-MATH3D_PI/2.0f)/2.0f;
+	}
+	else
+	{
+		progress = (progress-middle)/(1.0f-middle);  // 0..1
+		return (1.0f-bounce/2.0f)+sinf((0.5f+progress*2.0f)*MATH3D_PI)*(bounce/2.0f);
+	}
+}
+
+
+// Returns the color corresponding D3DCOLOR.
+
+D3DCOLOR RetColor(float intensity)
+{
+	D3DCOLOR	color;
+
+	if ( intensity <= 0.0f )  return 0x00000000;
+	if ( intensity >= 1.0f )  return 0xffffffff;
+
+	color  = (int)(intensity*255.0f)<<24;
+	color |= (int)(intensity*255.0f)<<16;
+	color |= (int)(intensity*255.0f)<<8;
+	color |= (int)(intensity*255.0f);
+
+	return color;
+}
+
+// Returns the color corresponding D3DCOLOR.
+
+D3DCOLOR RetColor(D3DCOLORVALUE intensity)
+{
+	D3DCOLOR	color;
+
+	color  = (int)(intensity.a*255.0f)<<24;
+	color |= (int)(intensity.r*255.0f)<<16;
+	color |= (int)(intensity.g*255.0f)<<8;
+	color |= (int)(intensity.b*255.0f);
+
+	return color;
+}
+
+// Returns the color corresponding D3DCOLORVALUE.
+
+D3DCOLORVALUE RetColor(D3DCOLOR intensity)
+{
+	D3DCOLORVALUE	color;
+
+	color.r = (float)((intensity>>16)&0xff)/256.0f;
+	color.g = (float)((intensity>>8 )&0xff)/256.0f;
+	color.b = (float)((intensity>>0 )&0xff)/256.0f;
+	color.a = (float)((intensity>>24)&0xff)/256.0f;
+
+	return color;
+}
+
+
+// RGB to HSV conversion.
+
+void RGB2HSV(D3DCOLORVALUE src, ColorHSV &dest)
+{
+	float	min, max, delta;
+
+	min = Min(src.r, src.g, src.b);
+	max = Max(src.r, src.g, src.b);
+
+	dest.v = max;  // intensity
+
+	if ( max == 0.0f )
+	{
+		dest.s = 0.0f;  // saturation
+		dest.h = 0.0f;  // undefined color!
+	}
+	else
+	{
+		delta = max-min;
+		dest.s = delta/max;  // saturation
+
+		if ( src.r == max )  // between yellow & magenta
+		{
+			dest.h = (src.g-src.b)/delta;
+		}
+		else if ( src.g == max )  // between cyan & yellow
+		{
+			dest.h = 2.0f+(src.b-src.r)/delta;
+		}
+		else  // between magenta & cyan
+		{
+			dest.h = 4.0f+(src.r-src.g)/delta;
+		}
+
+		dest.h *= 60.0f;  // in degrees
+		if ( dest.h < 0.0f )  dest.h += 360.0f;
+		dest.h /= 360.0f;  // 0..1
+	}
+}
+
+// HSV to RGB conversion.
+
+void HSV2RGB(ColorHSV src, D3DCOLORVALUE &dest)
+{
+	int		i;
+	float	f,v,p,q,t;
+
+	src.h = Norm(src.h)*360.0f;
+	src.s = Norm(src.s);
+	src.v = Norm(src.v);
+
+	if ( src.s == 0.0f )  // zero saturation?
+	{
+		dest.r = src.v;
+		dest.g = src.v;
+		dest.b = src.v;  // gray
+	}
+	else
+	{
+		if ( src.h == 360.0f )  src.h = 0.0f;
+		src.h /= 60.0f;
+		i = (int)src.h;  // integer part (0 .. 5)
+		f = src.h-i;     // fractional part
+
+		v = src.v;
+		p = src.v*(1.0f-src.s);
+		q = src.v*(1.0f-(src.s*f));
+		t = src.v*(1.0f-(src.s*(1.0f-f)));
+
+		switch (i)
+		{
+			case 0:  dest.r=v; dest.g=t; dest.b=p;  break;
+			case 1:  dest.r=q; dest.g=v; dest.b=p;  break;
+			case 2:  dest.r=p; dest.g=v; dest.b=t;  break;
+			case 3:  dest.r=p; dest.g=q; dest.b=v;  break;
+			case 4:  dest.r=t; dest.g=p; dest.b=v;  break;
+			case 5:  dest.r=v; dest.g=p; dest.b=q;  break;
+		}
+	}
+}
+
-- 
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