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authorPiotr Dziwinski <piotrdz@gmail.com>2012-06-22 15:54:16 +0200
committerPiotr Dziwinski <piotrdz@gmail.com>2012-06-22 15:54:16 +0200
commit4531ac88d3c022866d564be40c20593de4c70bfc (patch)
tree63bd1feff134c95001a1b10495882debfcdf54e3 /src/math/old/math3d.cpp
parent11df0ebf94e0842566bdc8d627ab50cc5309605d (diff)
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Moved old implementations to src/old
Diffstat (limited to 'src/math/old/math3d.cpp')
-rw-r--r--src/math/old/math3d.cpp1197
1 files changed, 0 insertions, 1197 deletions
diff --git a/src/math/old/math3d.cpp b/src/math/old/math3d.cpp
deleted file mode 100644
index a9d67f2..0000000
--- a/src/math/old/math3d.cpp
+++ /dev/null
@@ -1,1197 +0,0 @@
-// * 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;
- }
- }
-}
-