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Some new 3D utility classes: Vector3D, Matrix3D, Quaternion, Draggable3DOrientation.

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jules 2011-11-07 18:58:37 +00:00
parent 5435bfcb26
commit 7cf9e480b2
6 changed files with 457 additions and 1 deletions
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14
extras/JuceDemo/Source/demos/OpenGLDemo.cpp
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@ -48,12 +48,23 @@ public:
dynamicTextureImage = Image (Image::ARGB, 128, 128, true, OpenGLImageType());
}
void mouseDown (const MouseEvent& e)
{
draggableOrientation.mouseDown (e.getPosition());
}
void mouseDrag (const MouseEvent& e)
{
draggableOrientation.mouseDrag (e.getPosition());
delta = e.getDistanceFromDragStartX() / 100.0f;
repaint();
}
void resized()
{
draggableOrientation.setViewport (getLocalBounds());
}
void renderOpenGL()
{
OpenGLHelpers::clear (Colours::darkgrey.withAlpha (1.0f));
@ -73,7 +84,7 @@ public:
OpenGLHelpers::setPerspective (45.0, getWidth() / (double) getHeight(), 0.1, 100.0);
glTranslatef (0.0f, 0.0f, -5.0f);
glRotatef (rotation, 0.5f, 1.0f, 0.0f);
draggableOrientation.applyToOpenGLMatrix();
// logoImage and dynamicTextureImage are actually OpenGL images, so we can use this utility function to
// extract the frame buffer which is their backing store, and use it directly.
@ -155,6 +166,7 @@ public:
private:
Image logoImage, dynamicTextureImage;
float rotation, delta, textScrollPos;
Draggable3DOrientation draggableOrientation;
// Functions to create a couple of images to use as textures..
static Image createLogoImage()

12
modules/juce_opengl/juce_opengl.h
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@ -83,6 +83,12 @@ BEGIN_JUCE_NAMESPACE
#include "opengl/juce_OpenGLRenderingTarget.h"
// START_AUTOINCLUDE opengl
#ifndef __JUCE_DRAGGABLE3DORIENTATION_JUCEHEADER__
#include "opengl/juce_Draggable3DOrientation.h"
#endif
#ifndef __JUCE_MATRIX3D_JUCEHEADER__
#include "opengl/juce_Matrix3D.h"
#endif
#ifndef __JUCE_OPENGLCOMPONENT_JUCEHEADER__
#include "opengl/juce_OpenGLComponent.h"
#endif
@ -110,6 +116,12 @@ BEGIN_JUCE_NAMESPACE
#ifndef __JUCE_OPENGLTEXTURE_JUCEHEADER__
#include "opengl/juce_OpenGLTexture.h"
#endif
#ifndef __JUCE_QUATERNION_JUCEHEADER__
#include "opengl/juce_Quaternion.h"
#endif
#ifndef __JUCE_VECTOR3D_JUCEHEADER__
#include "opengl/juce_Vector3D.h"
#endif
// END_AUTOINCLUDE
END_JUCE_NAMESPACE

152
modules/juce_opengl/opengl/juce_Draggable3DOrientation.h Normal file
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@ -0,0 +1,152 @@
/*
==============================================================================
This file is part of the JUCE library - "Jules' Utility Class Extensions"
Copyright 2004-11 by Raw Material Software Ltd.
------------------------------------------------------------------------------
JUCE can be redistributed and/or modified under the terms of the GNU General
Public License (Version 2), as published by the Free Software Foundation.
A copy of the license is included in the JUCE distribution, or can be found
online at www.gnu.org/licenses.
JUCE 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.
------------------------------------------------------------------------------
To release a closed-source product which uses JUCE, commercial licenses are
available: visit www.rawmaterialsoftware.com/juce for more information.
==============================================================================
*/
#ifndef __JUCE_DRAGGABLE3DORIENTATION_JUCEHEADER__
#define __JUCE_DRAGGABLE3DORIENTATION_JUCEHEADER__
#include "juce_Quaternion.h"
//==============================================================================
/**
Stores a 3D orientation, which can be rotated by dragging with the mouse.
*/
class Draggable3DOrientation
{
public:
typedef Vector3D<GLfloat> VectorType;
/** Creates a Draggable3DOrientation, initially set up to be aligned along the X axis. */
Draggable3DOrientation (float objectRadius = 0.5f) noexcept
: radius (jmax (0.1f, objectRadius)),
quaternion (VectorType::xAxis(), 0)
{
}
/** Resets the orientation, specifying the axis to align it along. */
void reset (const VectorType& axis) noexcept
{
quaternion = QuaternionType (axis, 0);
}
/** Sets the viewport area within which mouse-drag positions will occur.
You'll need to set this rectangle before calling mouseDown. The centre of the
rectangle is assumed to be the centre of the object that will be rotated, and
the size of the rectangle will be used to scale the object radius - see setRadius().
*/
void setViewport (const Rectangle<int>& newArea) noexcept
{
area = newArea;
}
/** Sets the size of the rotated object, as a proportion of the viewport's size.
@see setViewport
*/
void setRadius (float newRadius) noexcept
{
radius = jmax (0.1f, newRadius);
}
/** Begins a mouse-drag operation.
You must call this before any calls to mouseDrag(). The position that is supplied
will be treated as being relative to the centre of the rectangle passed to setViewport().
*/
template <typename Type>
void mouseDown (const Point<Type>& mousePos) noexcept
{
lastMouse = mousePosToProportion (mousePos.toFloat());
}
/** Continues a mouse-drag operation.
After calling mouseDown() to begin a drag sequence, you can call this method
to continue it.
*/
template <typename Type>
void mouseDrag (const Point<Type>& mousePos) noexcept
{
const VectorType oldPos (projectOnSphere (lastMouse));
lastMouse = mousePosToProportion (mousePos.toFloat());
const VectorType newPos (projectOnSphere (lastMouse));
quaternion *= rotationFromMove (oldPos, newPos);
}
/** Returns the matrix that should be used to apply the current orientation.
@see applyToOpenGLMatrix
*/
Matrix3D<GLfloat> getRotationMatrix() const noexcept
{
return quaternion.getRotationMatrix();
}
/** Applies this rotation to the active OpenGL context's matrix. */
void applyToOpenGLMatrix() const noexcept
{
getRotationMatrix().applyToOpenGL();
}
private:
typedef Quaternion<GLfloat> QuaternionType;
Rectangle<int> area;
float radius;
QuaternionType quaternion;
Point<float> lastMouse;
Point<float> mousePosToProportion (const Point<float>& mousePos) const noexcept
{
const int scale = (jmin (area.getWidth(), area.getHeight()) / 2);
// You must call setViewport() to give this object a valid window size before
// calling any of the mouse input methods!
jassert (scale > 0);
return Point<float> ((mousePos.x - area.getCentreX()) / scale,
(area.getCentreY() - mousePos.y) / scale);
}
VectorType projectOnSphere (const Point<float>& pos) const noexcept
{
const GLfloat radiusSquared = radius * radius;
const GLfloat xySquared = pos.x * pos.x + pos.y * pos.y;
return VectorType (pos.x, pos.y,
xySquared < radiusSquared * 0.5f ? std::sqrt (radiusSquared - xySquared)
: (radiusSquared / (2.0f * std::sqrt (xySquared))));
}
QuaternionType rotationFromMove (const VectorType& from, const VectorType& to) const noexcept
{
VectorType rotationAxis (to ^ from);
if (rotationAxis.lengthIsBelowEpsilon())
rotationAxis = VectorType::xAxis();
const GLfloat d = jlimit (-1.0f, 1.0f, (from - to).length() / (2.0f * radius));
return QuaternionType::fromAngle (2.0f * std::asin (d), rotationAxis);
}
};
#endif // __JUCE_DRAGGABLE3DORIENTATION_JUCEHEADER__

98
modules/juce_opengl/opengl/juce_Matrix3D.h Normal file
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@ -0,0 +1,98 @@
/*
==============================================================================
This file is part of the JUCE library - "Jules' Utility Class Extensions"
Copyright 2004-11 by Raw Material Software Ltd.
------------------------------------------------------------------------------
JUCE can be redistributed and/or modified under the terms of the GNU General
Public License (Version 2), as published by the Free Software Foundation.
A copy of the license is included in the JUCE distribution, or can be found
online at www.gnu.org/licenses.
JUCE 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.
------------------------------------------------------------------------------
To release a closed-source product which uses JUCE, commercial licenses are
available: visit www.rawmaterialsoftware.com/juce for more information.
==============================================================================
*/
#ifndef __JUCE_MATRIX3D_JUCEHEADER__
#define __JUCE_MATRIX3D_JUCEHEADER__
//==============================================================================
/**
A 4x4 transformation matrix.
@see AffineTransform
*/
template <typename Type>
class Matrix3D
{
public:
Matrix3D() noexcept
{
zeromem (mat, sizeof (mat));
mat[0] = mat[1 + 1 * 4] = mat[2 + 2 * 4] = mat[3 + 3 * 4] = (Type) 1;
}
Matrix3D (const Matrix3D& other) noexcept
{
memcpy (mat, other.mat, sizeof (mat));
}
Matrix3D (const AffineTransform& transform) noexcept
{
mat[0] = transform.mat00; mat[1] = transform.mat10; mat[2] = 0; mat[3] = 0;
mat[4] = transform.mat01; mat[5] = transform.mat11; mat[6] = 0; mat[7] = 0;
mat[8] = 0; mat[9] = 0; mat[10] = (Type) 1; mat[11] = 0;
mat[12] = transform.mat02; mat[13] = transform.mat12; mat[14] = 0; mat[15] = (Type) 1;
}
Matrix3D (const Type* values) noexcept
{
memcpy (mat, values, sizeof (mat));
}
Matrix3D (const Type& m00, const Type& m10, const Type& m20, const Type& m30,
const Type& m01, const Type& m11, const Type& m21, const Type& m31,
const Type& m02, const Type& m12, const Type& m22, const Type& m32,
const Type& m03, const Type& m13, const Type& m23, const Type& m33) noexcept
{
mat[0] = m00; mat[1] = m10; mat[2] = m20; mat[3] = m30;
mat[4] = m01; mat[5] = m11; mat[6] = m21; mat[7] = m31;
mat[8] = m02; mat[9] = m12; mat[10] = m22; mat[11] = m32;
mat[12] = m03; mat[13] = m13; mat[14] = m23; mat[15] = m33;
}
Matrix3D& operator= (const Matrix3D& other) noexcept
{
memcpy (mat, other.mat, sizeof (mat));
return *this;
}
/** Multiplies the active OpenGL context's matrix by this one. */
void applyToOpenGL() const noexcept
{
applyToGL (mat);
}
/** The 4x4 matrix values. These are stored in the standard OpenGL order. */
Type mat[16];
private:
static void applyToGL (const GLfloat* const m) noexcept { glMultMatrixf (m); }
#if ! JUCE_OPENGL_ES
static void applyToGL (const GLdouble* const m) noexcept { glMultMatrixd (m); }
#endif
};
#endif // __JUCE_MATRIX3D_JUCEHEADER__

100
modules/juce_opengl/opengl/juce_Quaternion.h Normal file
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@ -0,0 +1,100 @@
/*
==============================================================================
This file is part of the JUCE library - "Jules' Utility Class Extensions"
Copyright 2004-11 by Raw Material Software Ltd.
------------------------------------------------------------------------------
JUCE can be redistributed and/or modified under the terms of the GNU General
Public License (Version 2), as published by the Free Software Foundation.
A copy of the license is included in the JUCE distribution, or can be found
online at www.gnu.org/licenses.
JUCE 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.
------------------------------------------------------------------------------
To release a closed-source product which uses JUCE, commercial licenses are
available: visit www.rawmaterialsoftware.com/juce for more information.
==============================================================================
*/
#ifndef __JUCE_QUATERNION_JUCEHEADER__
#define __JUCE_QUATERNION_JUCEHEADER__
#include "juce_Matrix3D.h"
#include "juce_Vector3D.h"
//==============================================================================
/**
Holds a quaternion (a 3D vector and a scalar value).
*/
template <typename Type>
class Quaternion
{
public:
Quaternion() noexcept : scalar() {}
Quaternion (const Quaternion& other) noexcept : vector (other.vector), scalar (other.scalar) {}
Quaternion (const Vector3D<Type>& vector_, const Type& scalar_) noexcept : vector (vector_), scalar (scalar_) {}
Quaternion (const Type& x, const Type& y, const Type& z, const Type& w) noexcept : vector (x, y, z), scalar (w) {}
/** Creates a quaternion from an angle and an axis. */
static Quaternion fromAngle (const Type& angle, const Vector3D<Type>& axis) noexcept
{
return Quaternion (axis.normalised() * std::sin (angle / (Type) 2), std::cos (angle / (Type) 2));
}
Quaternion& operator= (const Quaternion& other) noexcept
{
vector = other.vector;
scalar = other.scalar;
return *this;
}
Quaternion& operator*= (const Quaternion& other) noexcept
{
const Type oldScalar (scalar);
scalar = (scalar * other.scalar) - (vector * other.vector);
vector = (other.vector * oldScalar) + (vector * other.scalar) + (vector ^ other.vector);
return *this;
}
Type length() const noexcept { return std::sqrt (normal()); }
Type normal() const noexcept { return scalar * scalar + vector.lengthSquared(); }
Quaternion normalised() const noexcept
{
const Type len (length());
jassert (len > 0);
return Quaternion (vector / len, scalar / len);
}
/** Returns the matrix that will perform the rotation specified by this quaternion. */
Matrix3D<Type> getRotationMatrix() const noexcept
{
const Type norm (normal());
const Type s (norm > 0 ? ((Type) 2) / norm : 0);
const Type xs (s * vector.x), ys (s * vector.y), zs (s * vector.z);
const Type wx (xs * scalar), wy (ys * scalar), wz (zs * scalar);
const Type xx (xs * vector.x), xy (ys * vector.x), xz (zs * vector.x);
const Type yy (ys * vector.y), yz (zs * vector.y), zz (zs * vector.z);
return Matrix3D<Type> (((Type) 1) - (yy + zz), xy - wz, xz + wy, 0,
xy + wz, ((Type) 1) - (xx+ zz), yz - wx, 0,
xz - wy, yz + wx, ((Type) 1) - (xx + yy), 0,
0, 0, 0, (Type) 1);
}
/** The vector part of the quaternion. */
Vector3D<Type> vector;
/** The scalar part of the quaternion. */
Type scalar;
};
#endif // __JUCE_QUATERNION_JUCEHEADER__

82
modules/juce_opengl/opengl/juce_Vector3D.h Normal file
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@ -0,0 +1,82 @@
/*
==============================================================================
This file is part of the JUCE library - "Jules' Utility Class Extensions"
Copyright 2004-11 by Raw Material Software Ltd.
------------------------------------------------------------------------------
JUCE can be redistributed and/or modified under the terms of the GNU General
Public License (Version 2), as published by the Free Software Foundation.
A copy of the license is included in the JUCE distribution, or can be found
online at www.gnu.org/licenses.
JUCE 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.
------------------------------------------------------------------------------
To release a closed-source product which uses JUCE, commercial licenses are
available: visit www.rawmaterialsoftware.com/juce for more information.
==============================================================================
*/
#ifndef __JUCE_VECTOR3D_JUCEHEADER__
#define __JUCE_VECTOR3D_JUCEHEADER__
//==============================================================================
/**
A three-coordinate vector.
*/
template <typename Type>
class Vector3D
{
public:
Vector3D() noexcept : x(), y(), z() {}
Vector3D (const Type& xValue, const Type& yValue, const Type& zValue) noexcept : x (xValue), y (yValue), z (zValue) {}
Vector3D (const Vector3D& other) noexcept : x (other.x), y (other.y), z (other.z) {}
Vector3D& operator= (const Vector3D& other) noexcept { x = other.x; y = other.y; z = other.z; return *this; }
/** Returns a vector that lies along the X axis. */
static Vector3D xAxis() noexcept { return Vector3D ((Type) 1, 0, 0); }
/** Returns a vector that lies along the Y axis. */
static Vector3D yAxis() noexcept { return Vector3D (0, (Type) 1, 0); }
/** Returns a vector that lies along the Z axis. */
static Vector3D zAxis() noexcept { return Vector3D (0, 0, (Type) 1); }
Vector3D& operator+= (const Vector3D& other) noexcept { x += other.x; y += other.y; z += other.z; return *this; }
Vector3D& operator-= (const Vector3D& other) noexcept { x -= other.x; y -= other.y; z -= other.z; return *this; }
Vector3D& operator*= (const Type& scaleFactor) noexcept { x *= scaleFactor; y *= scaleFactor; z *= scaleFactor; return *this; }
Vector3D& operator/= (const Type& scaleFactor) noexcept { x /= scaleFactor; y /= scaleFactor; z /= scaleFactor; return *this; }
Vector3D operator+ (const Vector3D& other) const noexcept { return Vector3D (x + other.x, y + other.y, z + other.z); }
Vector3D operator- (const Vector3D& other) const noexcept { return Vector3D (x - other.x, y - other.y, z - other.z); }
Vector3D operator* (const Type& scaleFactor) const noexcept { return Vector3D (x * scaleFactor, y * scaleFactor, z * scaleFactor); }
Vector3D operator/ (const Type& scaleFactor) const noexcept { return Vector3D (x / scaleFactor, y / scaleFactor, z / scaleFactor); }
Vector3D operator-() const noexcept { return Vector3D (-x, -y, -z); }
/** Returns the dot-product of these two vectors. */
Type operator* (const Vector3D& other) const noexcept { return x * other.x + y * other.y + z * other.z; }
/** Returns the cross-product of these two vectors. */
Vector3D operator^ (const Vector3D& other) const noexcept { return Vector3D (y * other.z - z * other.y, z * other.x - x * other.z, x * other.y - y * other.x); }
Type length() const noexcept { return std::sqrt (lengthSquared()); }
Type lengthSquared() const noexcept { return x * x + y * y + z * z; }
Vector3D normalised() const noexcept { return *this / length(); }
/** Returns true if the vector is practically equal to the origin. */
bool lengthIsBelowEpsilon() const noexcept
{
const Type epsilon (std::numeric_limits<Type>::epsilon());
return ! (x < -epsilon || x > epsilon || y < -epsilon || y > epsilon || z < -epsilon || z > epsilon);
}
Type x, y, z;
};
#endif // __JUCE_VECTOR3D_JUCEHEADER__