server/dep/include/g3dlite/G3D/splinefunc.h
Lynx3d ae3ad10bcf [10097] Update G3D up to v8.0b4
+ Got rid of zip lib requirement in G3D...
  Still can re-enable code by defining _HAVE_ZIP...

+ Remove silly X11 lib dependency from G3D
  Code doesn't seem to do anything yet anyway, and even if, we don't want it :p

+ Fix another weird G3D build problem...

+ Remove some __asm usage in g3d, which is not available on Win64
  My editor also decided to remove a ton of trailing white spaces...tss...

+ Reapply G3D fixes for 64bit VC

+ not use SSE specific header when SSE not enabled in *nix

+ Updated project files

+ New vmap_assembler VC90/VC80 Project

+ vmap assembler binaries updates

NOTE: Old vmap fikes expected work (as tests show) with new library version.
      But better use new generated versions. Its different in small parts to bad or good...

(based on Lynx3d's repo commit 44798d3)

Signed-off-by: VladimirMangos <vladimir@getmangos.com>
2010-06-23 06:45:25 +04:00

118 lines
3.5 KiB
C++

/**
@file spline.h
@maintainer Morgan McGuire, http://graphics.cs.williams.edu
@created 2004-07-25
@edited 2007-05-05
*/
#ifndef G3D_SPLINEFUNC_H
#define G3D_SPLINEFUNC_H
#include "G3D/platform.h"
#include "G3D/debug.h"
#include "G3D/Array.h"
#include "G3D/g3dmath.h"
namespace G3D {
/**
Interpolates a property according to a piecewise linear spline. This provides
C0 continuity but the derivatives are not smooth.
<P>
Example:
<CODE>
const double times[] = {MIDNIGHT, SUNRISE - HOUR, SUNRISE, SUNRISE + sunRiseAndSetTime / 4, SUNRISE + sunRiseAndSetTime, SUNSET - sunRiseAndSetTime, SUNSET - sunRiseAndSetTime / 2, SUNSET, SUNSET + HOUR/2, DAY};
const Color3 color[] = {Color3(0, .0, .1), Color3(0, .0, .1), Color3::black(), Color3::black(), Color3::white() * .25, Color3::white() * .25, Color3(.5, .2, .2), Color3(.05, .05, .1), Color3(0, .0, .1), Color3(0, .0, .1)};
ambient = linearSpline(time, times, color, 10);
</CODE>
See also G3D::Spline
@param x The spline is a function of x; this is the sample to choose.
@param controlX controlX[i], controlY[i] is a control points. It is assumed
that controlX are strictly increasing. XType must support
the "<" operator and a subtraction operator that returns
a number.
@param controlY YType must support multiplication and addition.
@param numControl The number of control points.
*/
template<class XType, class YType>
YType linearSpline(double x, const XType* controlX, const YType* controlY, int numControl) {
debugAssert(numControl >= 1);
// Off the beginning
if ((numControl == 1) || (x < controlX[0])) {
return controlY[0];
}
for (int i = 1; i < numControl; ++i) {
if (x < controlX[i]) {
const double alpha = (double)(controlX[i] - x) / (controlX[i] - controlX[i - 1]);
return controlY[i] * (1 - alpha) + controlY[i - 1] * alpha;
}
}
// Off the end
return controlY[numControl - 1];
}
/** See also G3D::Spline*/
template<class YType> YType cyclicCatmullRomSpline(
double t,
const YType* controlY,
int numPoints) {
debugAssert(numPoints >= 3);
t = wrap(t, numPoints);
// Find the indices of adjacent control points
int i = iFloor(t);
// Compute the distance from the control point
t = t - i;
// Shift back one point for correct indexing
i += numPoints - 1;
// Pick up four control points
const YType& P0 = controlY[(i + 0) % numPoints];
const YType& P1 = controlY[(i + 1) % numPoints];
const YType& P2 = controlY[(i + 2) % numPoints];
const YType& P3 = controlY[(i + 3) % numPoints];
return 0.5 * ((2 * P1) +
(-P0 + P2) * t +
(2*P0 - 5*P1 + 4*P2 - P3) * t*t +
(-P0 + 3*P1- 3*P2 + P3) * t*t*t);
}
/**
A cubic spline with regularly spaced
control points. The spline interpolates
the control points. The spline
will wrap from the last point back to the first.
The t parameter is on the range [0, controlY.size()],
where integers correspond to control points exactly.
See also G3D::Spline
@cite http://www.mvps.org/directx/articles/catmull/
*/
template<class YType> YType cyclicCatmullRomSpline(
double t,
const Array<YType>& controlY) {
int numPoints = controlY.size();
return cyclicCatmullRomSpline(t, controlY.getCArray(), numPoints);
}
}
#endif