void Compute(const cNineFractals &fractals, const sFractalIn &in, sFractalOut *out)
{
fractalFormulaFcn fractalFormulaFunction;
// repeat, move and rotate
CVector3 pointTransformed = (in.point - in.common.fractalPosition).mod(in.common.repeat);
pointTransformed = in.common.mRotFractalRotation.RotateVector(pointTransformed);
CVector4 z = CVector4(pointTransformed, 0.0);
double colorMin = 1000.0;
if (in.forcedFormulaIndex >= 0)
{
z.w = fractals.GetInitialWAxis(in.forcedFormulaIndex);
}
else
{
z.w = fractals.GetInitialWAxis(0);
}
double r = z.Length();
double initR = r;
double initialWAxisColor = z.w;
double orbitTrapTotal = 0.0;
out->orbitTrapR = 0.0;
enumFractalFormula formula = fractal::none;
out->maxiter = true;
int fractalIndex = 0;
if (in.forcedFormulaIndex >= 0) fractalIndex = in.forcedFormulaIndex;
const sFractal *defaultFractal = fractals.GetFractal(fractalIndex);
sExtendedAux extendedAux;
extendedAux.c = z;
extendedAux.const_c = z;
extendedAux.old_z = CVector4(0.0, 0.0, 0.0, 0.0);
extendedAux.sum_z = CVector4(0.0, 0.0, 0.0, 0.0);
extendedAux.pos_neg = 1.0;
extendedAux.cw = 0;
extendedAux.r = r;
extendedAux.DE = 1.0;
extendedAux.pseudoKleinianDE = 1.0;
extendedAux.actualScale = fractals.GetFractal(fractalIndex)->mandelbox.scale;
extendedAux.actualScaleA = 0.0;
extendedAux.color = 1.0;
extendedAux.colorHybrid = 0.0;
extendedAux.temp100 = 100.0;
extendedAux.addDist = 0.0;
// main iteration loop
int i;
int sequence = 0;
CVector4 lastGoodZ;
CVector4 lastZ;
CVector4 lastLastZ;
// main iteration loop
for (i = 0; i < in.maxN; i++)
{
lastGoodZ = lastZ;
lastLastZ = lastZ;
;
lastZ = z;
// hybrid fractal sequence
if (in.forcedFormulaIndex >= 0)
{
sequence = in.forcedFormulaIndex;
}
else
{
sequence = fractals.GetSequence(i);
}
// foldings
if (in.common.foldings.boxEnable)
{
BoxFolding(z, &in.common.foldings, extendedAux);
r = z.Length();
}
if (in.common.foldings.sphericalEnable)
{
extendedAux.r = r;
SphericalFolding(z, &in.common.foldings, extendedAux);
r = z.Length();
}
const sFractal *fractal = fractals.GetFractal(sequence);
formula = fractal->formula;
// temporary vector for weight function
CVector4 tempZ = z;
extendedAux.r = r;
extendedAux.i = i;
fractalFormulaFunction = fractals.GetFractalFormulaFunction(sequence);
if (!fractals.IsHybrid() || fractals.GetWeight(sequence) > 0.0)
{
// -------------- call for fractal formulas by function pointers ---------------
if (fractalFormulaFunction)
{
fractalFormulaFunction(z, fractal, extendedAux);
}
else
{
double high = fractals.GetBailout(sequence) * 10.0;
z = CVector4(high, high, high, high);
out->distance = 10.0;
out->iters = 1;
out->z = z.GetXYZ();
return;
}
// -----------------------------------------------------------------------------
}
// addition of constant
if (fractals.IsAddCConstant(sequence))
{
switch (formula)
{
case aboxMod1:
case amazingSurf:
// case amazingSurfMod1:
{
if (fractals.IsJuliaEnabled(sequence))
{
CVector3 juliaC =
fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence);
z += CVector4(juliaC.y, juliaC.x, juliaC.z, 0.0);
}
else
{
z +=
CVector4(extendedAux.const_c.y, extendedAux.const_c.x, extendedAux.const_c.z, 0.0)
* fractals.GetConstantMultiplier(sequence);
}
break;
}
default:
{
if (fractals.IsJuliaEnabled(sequence))
{
z += CVector4(
fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence), 0.0);
}
else
{
z += extendedAux.const_c * fractals.GetConstantMultiplier(sequence);
}
break;
}
}
}
if (fractals.IsHybrid())
{
z = SmoothCVector(tempZ, z, fractals.GetWeight(sequence));
}
// r calculation
// r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z + w * w);
switch (fractal->formula)
{
case scatorPower2: // add v2.15
case scatorPower2Real: // add v2.15
case scatorPower2Imaginary: // corrected v2.14
case testingLog:
{
CVector4 z2 = z * z;
r = sqrt(z2.x + z2.y + z2.z + (z2.y * z2.z) / z2.x);
// initial condition is normal r, becomes aux.r
// r = sqrt(z2.x - z2.y - z2.z + (z2.y * z2.z) / (z2.x));
break;
}
// scator magnitudes
// magnitude in imaginary scator algebra
// case pseudoKleinian:
// case pseudoKleinianMod1:
// case pseudoKleinianMod2:
case pseudoKleinianStdDE:
{
r = sqrt(z.x * z.x + z.y * z.y);
break;
}
default:
{
r = z.Length();
// r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z);
break;
}
}
if (z.IsNotANumber())
{
z = lastZ;
r = z.Length();
out->maxiter = true;
break;
}
// escape conditions
if (fractals.IsCheckForBailout(sequence))
{
if (Mode == calcModeNormal || Mode == calcModeDeltaDE1)
{
if (r > fractals.GetBailout(sequence))
{
out->maxiter = false;
break;
}
if (fractals.UseAdditionalBailoutCond(sequence))
{
out->maxiter = false; // maxiter flag has to be always disabled for pseudo klienian
if ((z - lastZ).Length() / r < 0.1 / fractals.GetBailout(sequence))
{
break;
}
if ((z - lastLastZ).Length() / r < 0.1 / fractals.GetBailout(sequence))
{
break;
}
}
}
else if (Mode == calcModeDeltaDE2)
{
if (i == in.maxN) break;
}
else if (Mode == calcModeColouring)
{
CVector4 colorZ = z;
if (!in.material->fractalColoring.color4dEnabledFalse) colorZ.w = 0.0;
double len = 0.0;
switch (in.material->fractalColoring.coloringAlgorithm)
{
case fractalColoring_Standard:
{
len = colorZ.Length();
break;
}
case fractalColoring_ZDotPoint:
{
len = fabs(colorZ.Dot(CVector4(pointTransformed, initialWAxisColor)));
break;
}
case fractalColoring_Sphere:
{
len = fabs((colorZ - CVector4(pointTransformed, initialWAxisColor)).Length()
- in.material->fractalColoring.sphereRadius);
break;
}
case fractalColoring_Cross:
{
len = dMin(fabs(colorZ.x), fabs(colorZ.y), fabs(colorZ.z));
if (in.material->fractalColoring.color4dEnabledFalse) len = min(len, fabs(colorZ.w));
break;
}
case fractalColoring_Line:
{
len = fabs(colorZ.Dot(in.material->fractalColoring.lineDirection));
break;
}
case fractalColoring_None:
{
len = r;
break;
}
}
if (!in.material->fractalColoring.colorPreV215False)
{ // V2.15 code
if (fractal->formula != mandelbox)
{
if (len < colorMin) colorMin = len;
if (r > fractals.GetBailout(sequence) || (z - lastZ).Length() / r < 1e-15) break;
}
else // for Mandelbox. Note in Normal Mode (abox_color) colorMin = 0, else has a value
{
if (in.material->fractalColoring.coloringAlgorithm == fractalColoring_Standard)
{
if (r > 1e15 || (z - lastZ).Length() / r < 1e-15) break;
}
else
{
if (len < colorMin) colorMin = len;
if (r > fractals.GetBailout(sequence) || (z - lastZ).Length() / r < 1e-15) break;
}
}
}
else // pre-v2.15 mode
{
if (fractal->formula != mandelbox
|| in.material->fractalColoring.coloringAlgorithm != fractalColoring_Standard)
{
if (len < colorMin) colorMin = len;
if (r > 1e15 || (z - lastZ).Length() / r < 1e-15) break; // old, is updated v2.15
}
else // for mandbox and fractalColoring_Standard
{
if (r > 1e15 || (z - lastZ).Length() / r < 1e-15) break;
}
}
}
else if (Mode == calcModeOrbitTrap)
{
CVector4 delta = z - CVector4(in.common.fakeLightsOrbitTrap, 0.0);
double distance = delta.Length();
if (i >= in.common.fakeLightsMinIter && i <= in.common.fakeLightsMaxIter)
orbitTrapTotal += (1.0 / (distance * distance));
if (distance > fractals.GetBailout(sequence))
{
out->orbitTrapR = orbitTrapTotal;
break;
}
}
else if (Mode == calcModeCubeOrbitTrap)
{
if (i >= in.material->textureFractalizeStartIteration)
{
double size = in.material->textureFractalizeCubeSize;
CVector3 zz = z.GetXYZ() - pointTransformed;
if (zz.x > -size && zz.x < size && zz.y > -size && zz.y < size && zz.z > -size
&& zz.z < size)
{
out->colorIndex = (fabs(z.x - size) + fabs(z.y - size) + fabs(z.z - size)) * 100.0;
out->iters = i + 1;
out->z = z.GetXYZ();
return;
}
}
if (r > in.material->textureFractalizeCubeSize * 100.0)
{
out->colorIndex = 0.0;
out->iters = i + 1;
out->z = z.GetXYZ() / z.Length();
return;
}
}
}
if (z.IsNotANumber()) // detection of dead computation
{
z = lastGoodZ;
break;
}
}
// final calculations
if (Mode == calcModeNormal) // analytic
{
if (extendedAux.DE > 0.0)
{
if (fractals.IsHybrid())
{
if (fractals.GetDEFunctionType(0) == fractal::linearDEFunction)
{
out->distance = (r - in.common.linearDEOffset) / extendedAux.DE;
}
else if (fractals.GetDEFunctionType(0) == fractal::logarithmicDEFunction)
{
out->distance = 0.5 * r * log(r) / extendedAux.DE;
}
else if (fractals.GetDEFunctionType(0) == fractal::pseudoKleinianDEFunction)
{
double rxy = sqrt(z.x * z.x + z.y * z.y);
out->distance =
max(rxy - extendedAux.pseudoKleinianDE, fabs(rxy * z.z) / r) / extendedAux.DE;
}
else if (fractals.GetDEFunctionType(0) == fractal::josKleinianDEFunction)
{
if (fractals.GetFractal(0)->transformCommon.spheresEnabled)
z.y = min(z.y, fractals.GetFractal(0)->transformCommon.foldingValue - z.y);
out->distance = min(z.y, fractals.GetFractal(0)->analyticDE.tweak005)
/ max(extendedAux.DE, fractals.GetFractal(0)->analyticDE.offset1);
}
/*else if (fractals.GetDEFunctionType(0) == fractal:: testingDEFunction)
{
double logDE = ((0.5 * r * log(r)) - in.common.linearDEOffset) / extendedAux.DE;
double linDE = (r - in.common.linearDEOffset) / extendedAux.DE;
out->distance = linDE + (logDE - linDE) * extendedAux.temp100;
// (logDE, linDE, extendedAux.temp100 / 100)); // temp use of auxtemp100.
}*/
}
else
{
switch (fractals.GetDEAnalyticFunction(sequence))
{
case analyticFunctionLogarithmic:
{
out->distance = 0.5 * r * log(r) / extendedAux.DE;
break;
}
case analyticFunctionLinear:
{
out->distance = r / extendedAux.DE;
break;
}
case analyticFunctionIFS:
{
out->distance = (r - 2.0) / extendedAux.DE;
break;
}
case analyticFunctionPseudoKleinian:
{
double rxy = sqrt(z.x * z.x + z.y * z.y);
out->distance =
max(rxy - extendedAux.pseudoKleinianDE, fabs(rxy * z.z) / r) / extendedAux.DE;
break;
}
case analyticFunctionJosKleinian:
{
if (fractals.GetFractal(sequence)->transformCommon.spheresEnabled)
z.y = min(z.y, fractals.GetFractal(sequence)->transformCommon.foldingValue - z.y);
out->distance =
min(z.y, fractals.GetFractal(sequence)->analyticDE.tweak005)
/ max(extendedAux.DE, fractals.GetFractal(sequence)->analyticDE.offset1);
break;
}
case analyticFunctionNone: out->distance = -1.0; break;
case analyticFunctionUndefined: out->distance = r; break;
}
}
// TEMPORARY CODE. To be removed afer testing
if (fractals.GetFractal(sequence)->transformCommon.functionEnabledTempFalse)
{
out->distance =
out->distance * initR * initR
/ (fractals.GetFractal(sequence)->transformCommon.maxR2d1 + initR * out->distance);
}
}
else
out->distance = r;
}
// color calculation
else if (Mode == calcModeColouring)
{
enumColoringFunction coloringFunction = fractals.GetColoringFunction(sequence);
out->colorIndex = CalculateColorIndex(fractals.IsHybrid(), r, z, colorMin, extendedAux,
in.material->fractalColoring, coloringFunction, defaultFractal);
}
else
{
out->distance = 0.0;
// needed for JosKleinian fractal to calculate spheres in deltaDE mode
if (fractals.GetDEFunctionType(0) == fractal::josKleinianDEFunction)
{
if (fractals.GetFractal(sequence)->transformCommon.spheresEnabled)
z.y = min(z.y, fractals.GetFractal(sequence)->transformCommon.foldingValue - z.y);
}
}
out->iters = i + 1;
out->z = z.GetXYZ();
}
double CalculateDistance(const sParamRender ¶ms, const cNineFractals &fractals,
const sDistanceIn &in, sDistanceOut *out, sRenderData *data)
{
double distance;
out->objectId = 0;
out->totalIters = 0;
double limitBoxDist = 0.0;
if (params.limitsEnabled)
{
const double distance_a =
max(in.point.x - params.limitMax.x, -(in.point.x - params.limitMin.x));
const double distance_b =
max(in.point.y - params.limitMax.y, -(in.point.y - params.limitMin.y));
const double distance_c =
max(in.point.z - params.limitMax.z, -(in.point.z - params.limitMin.z));
limitBoxDist = max(max(distance_a, distance_b), distance_c);
if (limitBoxDist > in.detailSize)
{
out->maxiter = false;
out->distance = limitBoxDist;
out->objectId = 0;
out->iters = 0;
return limitBoxDist;
}
}
if (params.booleanOperatorsEnabled)
{
sDistanceIn inTemp = in;
CVector3 point = inTemp.point;
point = (point - params.formulaPosition[0]).mod(params.formulaRepeat[0]);
point = params.mRotFormulaRotation[0].RotateVector(point);
point *= params.formulaScale[0];
inTemp.point = point;
distance = CalculateDistanceSimple(params, fractals, inTemp, out, 0) / params.formulaScale[0];
CVector3 pointFractalized = inTemp.point;
double reduceDisplacement = 1.0;
pointFractalized =
FractalizeTexture(inTemp.point, data, params, fractals, 0, &reduceDisplacement);
distance = DisplacementMap(distance, pointFractalized, 0, data, reduceDisplacement);
for (int i = 0; i < NUMBER_OF_FRACTALS - 1; i++)
{
if (fractals.GetFractal(i + 1)->formula != fractal::none)
{
sDistanceOut outTemp = *out;
point = in.point - params.formulaPosition[i + 1];
point = point.mod(params.formulaRepeat[i + 1]);
point = params.mRotFormulaRotation[i + 1].RotateVector(point);
point *= params.formulaScale[i + 1];
inTemp.point = point;
double distTemp = CalculateDistanceSimple(params, fractals, inTemp, &outTemp, i + 1)
/ params.formulaScale[i + 1];
CVector3 pointFractalized = inTemp.point;
double reduceDisplacement = 1.0;
pointFractalized =
FractalizeTexture(inTemp.point, data, params, fractals, i + 1, &reduceDisplacement);
distTemp = DisplacementMap(distTemp, pointFractalized, i + 1, data);
const params::enumBooleanOperator boolOperator = params.booleanOperator[i];
switch (boolOperator)
{
case params::booleanOperatorOR:
if (distTemp < distance)
{
outTemp.objectId = 1 + i;
*out = outTemp;
}
distance = min(distTemp, distance);
break;
case params::booleanOperatorAND:
if (distTemp > distance)
{
outTemp.objectId = 1 + i;
*out = outTemp;
}
distance = max(distTemp, distance);
break;
case params::booleanOperatorSUB:
{
const double limit = 1.5;
if (distance < in.detailSize) // if inside 1st
{
if (distTemp < in.detailSize * limit) // if inside 2nd
{
if (in.normalCalculationMode)
{
distance = in.detailSize * limit - distTemp;
}
else
{
distance = in.detailSize * limit;
}
}
else // if outside of 2nd
{
if (in.detailSize * limit - distTemp > distance)
{
outTemp.objectId = 1 + i;
*out = outTemp;
}
distance = max(in.detailSize * limit - distTemp, distance);
if (distance < 0) distance = 0;
}
}
else // if outside of 1st
{
//
}
break;
}
default: break;
}
}
}
}
else
{
distance = CalculateDistanceSimple(params, fractals, in, out, -1);
CVector3 pointFractalized = in.point;
double reduceDisplacement = 1.0;
pointFractalized = FractalizeTexture(in.point, data, params, fractals, -1, &reduceDisplacement);
distance = DisplacementMap(distance, pointFractalized, 0, data, reduceDisplacement);
}
distance =
min(distance, params.primitives.TotalDistance(in.point, distance, &out->objectId, data));
//****************************************************
if (params.limitsEnabled)
{
if (limitBoxDist < in.detailSize)
{
distance = max(distance, limitBoxDist);
}
}
if (CheckNAN(distance)) // check if not a number
{
distance = 0.0;
}
const double distFromCamera = (in.point - params.camera).Length();
const double distanceLimitMin = params.viewDistanceMin - distFromCamera;
if (distanceLimitMin > in.detailSize)
{
out->maxiter = false;
out->objectId = 0;
out->iters = 0;
}
distance = max(distance, distanceLimitMin);
out->distance = distance;
return distance;
}
void Compute(const cNineFractals &fractals, const sFractalIn &in, sFractalOut *out)
{
//QTextStream outStream(stdout);
//clock_t tim;
//tim = rdtsc();
//repeat, move and rotate
CVector3 point2 = in.point.mod(in.common.repeat) - in.common.fractalPosition;
point2 = in.common.mRotFractalRotation.RotateVector(point2);
CVector3 z = point2;
double r = z.Length();
CVector3 c = z;
double minimumR = 100.0;
double w = 0.0;
double orbitTrapTotal = 0.0;
enumFractalFormula formula = fractal::none;
out->maxiter = true;
int fractalIndex = 0;
if (in.forcedFormulaIndex >= 0) fractalIndex = in.forcedFormulaIndex;
const cFractal *defaultFractal = fractals.GetFractal(fractalIndex);
sExtendedAux extendedAux[NUMBER_OF_FRACTALS];
int maxFractal = (in.forcedFormulaIndex >= 0) ? in.forcedFormulaIndex : fractals.GetMaxFractalIndex();
int minFractal = (in.forcedFormulaIndex >= 0) ? in.forcedFormulaIndex : 0;
for (int i = minFractal; i <= maxFractal; i++)
{
extendedAux[i].r_dz = 1.0;
extendedAux[i].r = r;
extendedAux[i].color = 1.0;
extendedAux[i].actualScale = fractals.GetFractal(i)->mandelbox.scale;
extendedAux[i].DE = 1.0;
extendedAux[i].c = c;
extendedAux[i].cw = 0;
extendedAux[i].newR = 1e+20;
extendedAux[i].axisBias = 1e+20;
extendedAux[i].orbitTraps = 1e+20;
extendedAux[i].transformSampling = 1e+20;
}
//main iteration loop
int i;
int sequence = 0;
int lastSequnce = 0;
for (i = 0; i < in.maxN; i++)
{
//hybrid fractal sequence
if (in.forcedFormulaIndex >= 0)
{
sequence = in.forcedFormulaIndex;
}
else
{
sequence = fractals.GetSequence(i);
}
//for optimized DE calculation
if(fractals.UseOptimizedDE())
{
extendedAux[sequence] = extendedAux[lastSequnce];
lastSequnce = sequence;
}
//foldings
if (in.common.foldings.boxEnable)
{
BoxFolding(z, &in.common.foldings, extendedAux[sequence]);
r = z.Length();
}
if (in.common.foldings.sphericalEnable)
{
extendedAux[sequence].r = r;
SphericalFolding(z, &in.common.foldings, extendedAux[sequence]);
r = z.Length();
}
const cFractal *fractal = fractals.GetFractal(sequence);
formula = fractal->formula;
//temporary vector for weight function
CVector3 tempZ = z;
extendedAux[sequence].r = r;
if (!fractals.IsHybrid() || fractals.GetWeight(sequence) > 0.0)
{
//calls for fractal formulas
switch (formula)
{
case mandelbulb:
{
MandelbulbIteration(z, fractal, extendedAux[sequence]);
break;
}
case mandelbulb2:
{
Mandelbulb2Iteration(z, extendedAux[sequence]);
break;
}
case mandelbulb3:
{
Mandelbulb3Iteration(z, extendedAux[sequence]);
break;
}
case mandelbulb4:
{
Mandelbulb4Iteration(z, fractal, extendedAux[sequence]);
break;
}
case fast_mandelbulb_power2:
{
MandelbulbPower2Iteration(z, extendedAux[sequence]);
break;
}
case xenodreambuie:
{
XenodreambuieIteration(z, fractal, extendedAux[sequence]);
break;
}
case mandelbox:
{
MandelboxIteration(z, fractal, extendedAux[sequence]);
break;
}
case smoothMandelbox:
{
SmoothMandelboxIteration(z, fractal, extendedAux[sequence]);
break;
}
case boxFoldBulbPow2:
{
BoxFoldBulbPow2Iteration(z, fractal);
break;
}
case menger_sponge:
{
MengerSpongeIteration(z, extendedAux[sequence]);
break;
}
case kaleidoscopicIFS:
{
KaleidoscopicIFSIteration(z, fractal, extendedAux[sequence]);
break;
}
case aexion:
{
AexionIteration(z, w, i, fractal, extendedAux[sequence]);
break;
}
case hypercomplex:
{
HypercomplexIteration(z, w, extendedAux[sequence]);
break;
}
case quaternion:
{
QuaternionIteration(z, w, extendedAux[sequence]);
break;
}
case benesi:
{
BenesiIteration(z, c, extendedAux[sequence]);
break;
}
case bristorbrot:
{
BristorbrotIteration(z, extendedAux[sequence]);
break;
}
case ides:
{
IdesIteration(z, fractal);
break;
}
case ides2:
{
Ides2Iteration(z, fractal);
break;
}
case buffalo:
{
BuffaloIteration(z, fractal, extendedAux[sequence]);
break;
}
case quickdudley:
{
QuickDudleyIteration(z);
break;
}
case quickDudleyMod:
{
QuickDudleyModIteration(z, fractal);
break;
}
case lkmitch:
{
LkmitchIteration(z);
break;
}
case makin3d2:
{
Makin3D2Iteration(z);
break;
}
case msltoeDonut:
{
MsltoeDonutIteration(z, fractal, extendedAux[sequence]);
break;
}
case msltoesym2Mod:
{
MsltoeSym2ModIteration(z, c, fractal, extendedAux[sequence]);
break;
}
case msltoesym3Mod:
{
MsltoeSym3ModIteration(z, c, i, fractal, extendedAux[sequence]);
break;
}
case msltoesym3Mod2:
{
MsltoeSym3Mod2Iteration(z, c, fractal, extendedAux[sequence]);
break;
}
case msltoesym3Mod3:
{
MsltoeSym3Mod3Iteration(z, c, i, fractal, extendedAux[sequence]);
break;
}
case msltoesym4Mod:
{
MsltoeSym4ModIteration(z, c, fractal, extendedAux[sequence]);
break;
}
case generalizedFoldBox:
{
GeneralizedFoldBoxIteration(z, fractal, extendedAux[sequence]);
break;
}
case mandelbulb5:
{
Mandelbulb5Iteration(z, c, minimumR, i, fractal, extendedAux[sequence]);
break;
}
case mandelbox103:
{
Mandelbox103Iteration(z, c, minimumR, i, fractal, extendedAux[sequence]);
break;
}
case quaternion104:
{
CVector4 z4D(z, w);
Quaternion104Iteration(z4D, CVector4(c, 0.0), i, fractal, extendedAux[sequence]);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case mengerSponge105:
{
MengerSponge105Iteration(z, c, minimumR, i, fractal, extendedAux[sequence]);
break;
}
case mandelbulb6Beta:
{
Mandelbulb6BetaIteration(z, c, minimumR, i, fractal, extendedAux[sequence]);
break;
}
case benesiTransforms:
{
BenesiTransformsIteration(z, c, minimumR, i, fractal, extendedAux[sequence]);
break;
}
case aboxMod1:
{
AboxMod1Iteration(z, fractal, extendedAux[sequence]);
break;
}
case aboxMod2:
{
AboxMod2Iteration(z, fractal, extendedAux[sequence]);
break;
}
case aboxModKali:
{
AboxModKaliIteration(z, fractal, extendedAux[sequence]);
break;
}
case aboxVSIcen1:
{
AboxVSIcen1Iteration(z, c, fractal, extendedAux[sequence]);
break;
}
case aexionOctopusMod:
{
AexionOctopusModIteration(z, c, fractal);
break;
}
case amazingSurf:
{
AmazingSurfIteration(z, fractal, extendedAux[sequence]);
break;
}
case amazingSurfMod1:
{
AmazingSurfMod1Iteration(z, fractal, extendedAux[sequence]);
break;
}
case benesiPineTree:
{
BenesiPineTreeIteration(z, c, fractal, extendedAux[sequence]);
break;
}
case benesiT1PineTree:
{
BenesiT1PineTreeIteration(z, c, i, fractal, extendedAux[sequence]);
break;
}
case eiffieMsltoe:
{
EiffieMsltoeIteration(z, c, fractal, extendedAux[sequence]);
break;
}
case foldBoxMod1:
{
FoldBoxMod1Iteration(z, i, fractal, extendedAux[sequence]);
break;
}
case iqBulb:
{
IQbulbIteration(z, fractal, extendedAux[sequence]);
break;
}
case kalisets1:
{
Kalisets1Iteration(z, c, fractal, extendedAux[sequence]);
break;
}
case mandelbulbMulti:
{
MandelbulbMultiIteration(z, fractal, extendedAux[sequence]);
break;
}
case mandelbulbVaryPowerV1:
{
MandelbulbVaryPowerV1Iteration(z, i, fractal, extendedAux[sequence]);
break;
}
case mengerMod1:
{
MengerMod1Iteration(z, i, fractal, extendedAux[sequence]);
break;
}
case riemannSphereMsltoe:
{
RiemannSphereMsltoeIteration(z, fractal);
break;
}
case riemannSphereMsltoeV1:
{
RiemannSphereMsltoeV1Iteration(z, fractal);
break;
}
case quaternion3D:
{
Quaternion3DIteration(z, fractal, extendedAux[sequence]);
break;
}
//transforms ------------------------------------------------------------------------------------------
case transfAdditionConstant:
{
TransformAdditionConstantIteration(z, fractal);
break;
}
case transfAdditionConstantVaryV1:
{
TransformAdditionConstantVaryV1Iteration(z, i, fractal);
break;
}
case transfAddCpixel:
{
TransformAddCpixelIteration(z, c, fractal);
break;
}
case transfAddCpixelAxisSwap:
{
TransformAddCpixelAxisSwapIteration(z, c, fractal);
break;
}
case transfAddCpixelCxCyAxisSwap:
{
TransformAddCpixelCxCyAxisSwapIteration(z, c, fractal);
break;
}
case transfAddCpixelPosNeg:
{
TransformAddCpixelPosNegIteration(z, c, fractal);
break;
}
case transfAddCpixelVaryV1:
{
TransformAddCpixelVaryV1Iteration(z, c, i, fractal);
break;
}
case transfBenesiT1:
{
TransformBenesiT1Iteration(z, fractal, extendedAux[sequence]);
break;
}
case transfBenesiT1Mod:
{
TransformBenesiT1ModIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfBenesiT2:
{
TransformBenesiT2Iteration(z, fractal, extendedAux[sequence]);
break;
}
case transfBenesiT3:
{
TransformBenesiT3Iteration(z, fractal);
break;
}
case transfBenesiT4:
{
TransformBenesiT4Iteration(z, fractal);
break;
}
case transfBenesiT5b:
{
TransformBenesiT5bIteration(z, fractal);
break;
}
case transfBenesiMagForward:
{
TransformBenesiMagForwardIteration(z);
break;
}
case transfBenesiMagBackward:
{
TransformBenesiMagBackwardIteration(z);
break;
}
case transfBenesiCubeSphere:
{
TransformBenesiCubeSphereIteration(z);
break;
}
case transfBenesiSphereCube:
{
TransformBenesiSphereCubeIteration(z);
break;
}
case transfBoxFold:
{
TransformBoxFoldIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfBoxFoldXYZ:
{
TransformBoxFoldXYZIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfBoxOffset:
{
TransformBoxOffsetIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfFabsAddConstant:
{
TransformFabsAddConstantIteration(z, fractal);
break;
}
case transfFabsAddConstantV2:
{
TransformFabsAddConstantV2Iteration(z, fractal);
break;
}
case transfFabsAddMulti:
{
TransformFabsAddMultiIteration(z, fractal);
break;
}
case transfIterationWeight:
{
TransformIterationWeightIteration(z, i, fractal);
break;
}
case transfLinCombineCxyz:
{
TransformLinCombineCxyz(c, fractal);
break;
}
case transfMultipleAngle:
{
TransformMultipleAngle(z, fractal, extendedAux[sequence]);
break;
}
case transfNegFabsAddConstant:
{
TransformNegFabsAddConstantIteration(z, fractal);
break;
}
case transfRotation:
{
TransformRotationIteration(z, fractal);
break;
}
case transfRotationVaryV1:
{
TransformRotationVaryV1Iteration(z, i, fractal);
break;
}
case transfScale:
{
TransformScaleIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfScaleVaryV1:
{
TransformScaleVaryV1Iteration(z, i, fractal, extendedAux[sequence]);
break;
}
case transfScale3D:
{
TransformScale3DIteration(z, fractal, extendedAux[sequence]);
break;
}
case platonicSolid:
{
TransformPlatonicSolidIteration(z, fractal);
break;
}
case transfRPower:
{
TransformPowerR(z, fractal, extendedAux[sequence]);
break;
}
case transfSphereInvC:
{
TransformSphereInvCIteration(z, c, fractal);
break;
}
case transfSphericalOffset:
{
TransformSphericalOffsetIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfSphericalFold:
{
TransformSphericalFoldIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfSphericalPwrFold:
{
TransformSphericalPwrFoldIteration(z, fractal, extendedAux[sequence]);
break;
}
case transfZvectorAxisSwap:
{
TransformZvectorAxisSwapIteration(z, fractal );
break;
}
// 4D ---------------------------------------------------------------------------
case quaternion4D:
{
CVector4 z4D(z, w);
Quaternion4DIteration(z4D, i, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case mandelboxVaryScale4D:
{
CVector4 z4D(z, w);
MandelboxVaryScale4DIteration(z4D, i, fractal, extendedAux[sequence]);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfAdditionConstant4D:
{
CVector4 z4D(z, w);
TransformAdditionConstant4DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfBoxFold4D:
{
CVector4 z4D(z, w);
TransformBoxFold4DIteration(z4D, fractal, extendedAux[sequence]);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfFabsAddConstant4D:
{
CVector4 z4D(z, w);
TransformFabsAddConstant4DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfFabsAddConstantV24D:
{
CVector4 z4D(z, w);
TransformFabsAddConstantV24DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfIterationWeight4D:
{
CVector4 z4D(z, w);
TransformIterationWeight4DIteration(z4D, i, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfScale4D:
{
CVector4 z4D(z, w);
TransformScale4DIteration(z4D, fractal, extendedAux[sequence]);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfSphericalFold4D:
{
CVector4 z4D(z, w);
TransformSphericalFold4DIteration(z4D, fractal, extendedAux[sequence]);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
default:
z = CVector3(0.0, 0.0, 0.0);
break;
}
}
//addition of constant
if (fractals.IsAddCConstant(sequence))
{
switch (formula)
{
case aboxMod1:
case amazingSurf:
//case amazingSurfMod1:
{
if (fractals.IsJuliaEnabled(sequence))
{
CVector3 juliaC = fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence);
z += CVector3(juliaC.y, juliaC.x, juliaC.z);
}
else
{
z += CVector3(c.y, c.x, c.z) * fractals.GetConstantMultiplier(sequence);
}
break;
}
default:
{
if (fractals.IsJuliaEnabled(sequence))
{
z += fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence);
}
else
{
z += c * fractals.GetConstantMultiplier(sequence);
}
break;
}
}
}
if (fractals.IsHybrid())
{
z = SmoothCVector(tempZ, z, fractals.GetWeight(sequence));
}
//r calculation
r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z + w * w);
//escape conditions
if (fractals.IsCheckForBailout(sequence))
{
if (Mode == calcModeNormal)
{
if (r > fractals.GetBailout(sequence))
{
out->maxiter = false;
break;
}
}
else if (Mode == calcModeDeltaDE1)
{
if (r > fractals.GetBailout(sequence))
{
out->maxiter = false;
break;
}
}
else if (Mode == calcModeDeltaDE2)
{
if (i == in.maxN) break;
}
else if (Mode == calcModeColouring)
{
double len = 0.0;
switch (in.common.fractalColoringAlgorithm)
{
case fractalColoringStandard:
{
len = r;
break;
}
case fractalColoringZDotPoint:
{
len = fabs(z.Dot(in.point));
break;
}
case fractalColoringSphere:
{
len = fabs((z - in.point).Length() - in.common.fractalColoringSphereRadius);
break;
}
case fractalColoringCross:
{
len = dMin(fabs(z.x), fabs(z.y), fabs(z.z));
break;
}
case fractalColoringLine:
{
len = fabs(z.Dot(in.common.fractalColoringLineDirection));
break;
}
}
if (fractal->formula != mandelbox || in.common.fractalColoringAlgorithm != fractalColoringStandard)
{
if (len < minimumR) minimumR = len;
}
if (r > 1e15) break;
}
else if (Mode == calcModeOrbitTrap)
{
CVector3 delta = z - in.common.fakeLightsOrbitTrap;
double distance = delta.Length();
if (i >= in.common.fakeLightsMinIter && i <= in.common.fakeLightsMaxIter) orbitTrapTotal +=
(1.0f / (distance * distance));
if (distance > 1000)
{
out->orbitTrapR = orbitTrapTotal;
break;
}
}
}
}
//final calculations
if (Mode == calcModeNormal)
{
if (fractals.IsHybrid())
{
if(extendedAux[sequence].r_dz > 0)
{
if (fractals.GetDEFunctionType(0) == fractal::linearDEFunction)
{
out->distance = r / fabs(extendedAux[sequence].DE);
}
else if (fractals.GetDEFunctionType(0) == fractal::logarithmicDEFunction)
{
out->distance = 0.5 * r * log(r) / extendedAux[sequence].r_dz;
}
}
else
{
out->distance = r;
}
}
else
{
switch (formula)
{
case benesi:
case benesiPineTree:
case benesiT1PineTree:
case bristorbrot:
case buffalo:
case eiffieMsltoe:
case fast_mandelbulb_power2:
case hypercomplex:
case iqBulb:
case mandelbulb:
case mandelbulb2:
case mandelbulb3:
case mandelbulb4:
case mandelbulb5:
case mandelbulb6Beta:
case mandelbulbMulti:
case mandelbulbVaryPowerV1:
case msltoesym2Mod:
case msltoesym3Mod:
case msltoesym3Mod2:
case msltoesym3Mod3:
case msltoesym4Mod:
case quaternion:
case quaternion3D:
case xenodreambuie:
{
if(extendedAux[sequence].r_dz > 0)
out->distance = 0.5 * r * log(r) / extendedAux[sequence].r_dz;
else
out->distance = r;
break;
}
case mandelbox:
case smoothMandelbox:
case mandelboxVaryScale4D:
case generalizedFoldBox:
case mandelbox103:
case mengerSponge105:
case foldBoxMod1:
case aboxModKali:
case mengerMod1:
case aboxMod1:
case aboxMod2:
case amazingSurf:
case amazingSurfMod1:
case kalisets1:
case aboxVSIcen1:
{
if(extendedAux[sequence].r_dz > 0)
out->distance = r / fabs(extendedAux[sequence].DE);
else
out->distance = r;
break;
}
case kaleidoscopicIFS:
case menger_sponge:
{
if(extendedAux[sequence].r_dz > 0)
out->distance = (r - 2.0) / (extendedAux[sequence].DE);
else
out->distance = r;
break;
}
default:
out->distance = -1.0;
break;
}
}
}
//color calculation
else if (Mode == calcModeColouring)
{
if (fractals.IsHybrid())
{
if (minimumR > 100) minimumR = 100;
double mboxColor = 0.0;
double mboxDE = 1.0;
for (int h = minFractal; h <= maxFractal; h++)
{
mboxColor += extendedAux[h].color;
mboxDE *= extendedAux[h].DE; //mboxDE *= mandelboxAux[h].mboxDE + extendedAux[h].color;
}
double r2 = r / fabs(mboxDE);
if (r2 > 20) r2 = 20;
if (mboxColor > 1000) mboxColor = 1000;
out->colorIndex = minimumR * 1000.0 + mboxColor * 100 + r2 * 5000.0;
}
else
{
switch (formula)
{
case mandelbox:
case smoothMandelbox:
case mandelboxVaryScale4D:
case generalizedFoldBox:
case foldBoxMod1:
out->colorIndex = extendedAux[fractalIndex].color * 100.0
+ r * defaultFractal->mandelbox.color.factorR
+ ((in.common.fractalColoringAlgorithm != fractalColoringStandard) ? minimumR
* 1000.0 :
0.0);
break;
case mandelbulb5:
case mandelbox103:
case mandelbulb6Beta:
case benesiTransforms:
case mengerSponge105:
out->colorIndex = extendedAux[fractalIndex].newR
+ ((in.common.fractalColoringAlgorithm != fractalColoringStandard) ? minimumR
* 1000.0 :
0.0);
break;
case mengerMod1:
case aboxModKali:
case aboxMod1:
case menger_sponge:
case kaleidoscopicIFS:
out->colorIndex = minimumR * 1000.0;
break;
case amazingSurf:
case amazingSurfMod1:
out->colorIndex = minimumR * 200.0;
break;
case msltoeDonut:
out->colorIndex = extendedAux[fractalIndex].color * 2000.0 / i;
break;
default:
out->colorIndex = minimumR * 5000.0;
break;
}
}
}
else
{
out->distance = 0.0;
}
out->iters = i + 1;
out->z = z; // CVector3( z.x, z.y, w);
//tim = rdtsc() - tim; perf+= tim; perfCount++; outStream << (double)perf/perfCount - 560.0 << endl;
//------------- 3249 ns for all calculation ----------------
}
double CalculateDistanceSimple(const sParamRender ¶ms, const cNineFractals &fractals,
const sDistanceIn &in, sDistanceOut *out, int forcedFormulaIndex)
{
double distance = 0;
const int N =
(in.normalCalculationMode && params.common.iterThreshMode) ? params.N * 5 : params.N;
sFractalIn fractIn(
in.point, params.minN, N, params.common, forcedFormulaIndex, in.normalCalculationMode);
sFractalOut fractOut;
fractOut.colorIndex = 0;
if (fractals.GetDEType(forcedFormulaIndex) == fractal::analyticDEType)
{
Compute<fractal::calcModeNormal>(fractals, fractIn, &fractOut);
distance = fractOut.distance;
// qDebug() << "computed distance" << distance;
out->maxiter = fractOut.maxiter;
out->iters = fractOut.iters;
out->colorIndex = fractOut.colorIndex;
out->totalIters += fractOut.iters;
// don't use maxiter when limits are disabled and iterThresh mode is not used
if (!params.limitsEnabled)
{
if (!params.common.iterThreshMode) out->maxiter = false;
}
else
{
// never use maxiter if normal vectors are calculated
if (in.normalCalculationMode) out->maxiter = false;
}
if (out->maxiter) distance = 0.0;
if (fractOut.iters < params.minN && distance < in.detailSize) distance = in.detailSize;
if (params.interiorMode && !in.normalCalculationMode)
{
if (distance < 0.5 * in.detailSize || fractOut.maxiter)
{
distance = in.detailSize;
out->maxiter = false;
}
}
else if (params.interiorMode && in.normalCalculationMode)
{
if (distance < 0.9 * in.detailSize)
{
distance = in.detailSize - distance;
out->maxiter = false;
}
}
if (params.common.iterThreshMode && !in.normalCalculationMode && !fractOut.maxiter)
{
if (distance < in.detailSize)
{
distance = in.detailSize * 1.01;
}
}
}
else
{
const double deltaDE = 1e-10;
Compute<fractal::calcModeDeltaDE1>(fractals, fractIn, &fractOut);
const double r = fractOut.z.Length();
out->maxiter = fractOut.maxiter;
bool maxiter = fractOut.maxiter;
out->iters = fractOut.iters;
out->colorIndex = fractOut.colorIndex;
out->totalIters += fractOut.iters;
// don't use maxiter when limits are disabled and iterThresh mode is not used
if (!params.limitsEnabled)
{
if (!params.common.iterThreshMode) maxiter = false;
}
else
{
// never use maxiter if normal vectors are calculated
if (in.normalCalculationMode) maxiter = false;
}
fractIn.maxN = fractOut.iters; // for other directions must be the same number of iterations
fractIn.point = in.point + CVector3(deltaDE, 0.0, 0.0);
Compute<fractal::calcModeDeltaDE1>(fractals, fractIn, &fractOut);
double r2 = fractOut.z.Length();
const double dr1 = fabs(r2 - r) / deltaDE;
out->totalIters += fractOut.iters;
fractIn.point = in.point + CVector3(0.0, deltaDE, 0.0);
Compute<fractal::calcModeDeltaDE1>(fractals, fractIn, &fractOut);
r2 = fractOut.z.Length();
const double dr2 = fabs(r2 - r) / deltaDE;
out->totalIters += fractOut.iters;
fractIn.point = in.point + CVector3(0.0, 0.0, deltaDE);
Compute<fractal::calcModeDeltaDE1>(fractals, fractIn, &fractOut);
r2 = fractOut.z.Length();
const double dr3 = fabs(r2 - r) / deltaDE;
out->totalIters += fractOut.iters;
const double dr = sqrt(dr1 * dr1 + dr2 * dr2 + dr3 * dr3);
if (dr > 0)
{
// DE functions for deltaDE
if (fractals.GetDEFunctionType(forcedFormulaIndex) == fractal::linearDEFunction)
distance = 0.5 * r / dr;
else if (fractals.GetDEFunctionType(forcedFormulaIndex) == fractal::logarithmicDEFunction)
distance = 0.5 * r * log(r) / dr;
else if (fractals.GetDEFunctionType(forcedFormulaIndex) == fractal::pseudoKleinianDEFunction)
{
const CVector3 z = fractOut.z;
const double rxy = sqrt(z.x * z.x + z.y * z.y);
distance = max(rxy - 0.92784, fabs(rxy * z.z) / r) / (dr);
}
else if (fractals.GetDEFunctionType(forcedFormulaIndex) == fractal::josKleinianDEFunction)
{
const CVector3 z = fractOut.z;
const double rxy = sqrt(z.x * z.x + z.z * z.z);
distance = (fabs(rxy * z.y) / r) / (dr);
maxiter = false;
}
}
else
{
distance = r;
}
// if (distance < 1e-20) distance = 1e-20;
if (maxiter)
{
distance = 0;
}
if (fractOut.iters < params.minN && distance < in.detailSize) distance = in.detailSize;
if (params.interiorMode && !in.normalCalculationMode)
{
if (distance < 0.5 * in.detailSize || maxiter)
{
distance = in.detailSize;
out->maxiter = false;
}
}
else if (params.interiorMode && in.normalCalculationMode)
{
if (distance < 0.9 * in.detailSize)
{
distance = in.detailSize - distance;
out->maxiter = false;
}
}
if (params.common.iterThreshMode && !in.normalCalculationMode && !maxiter)
{
if (distance < in.detailSize)
{
distance = in.detailSize * 1.01;
}
}
}
return distance;
}
void Compute(const cNineFractals &fractals, const sFractalIn &in, sFractalOut *out)
{
// QTextStream outStream(stdout);
// clock_t tim;
// tim = rdtsc();
// repeat, move and rotate
CVector3 point2 = in.point.mod(in.common.repeat) - in.common.fractalPosition;
point2 = in.common.mRotFractalRotation.RotateVector(point2);
CVector3 z = point2;
double r = z.Length();
CVector3 c = z;
double minimumR = 100.0;
double w = 0.0;
double orbitTrapTotal = 0.0;
enumFractalFormula formula = fractal::none;
out->maxiter = true;
int fractalIndex = 0;
if (in.forcedFormulaIndex >= 0) fractalIndex = in.forcedFormulaIndex;
const cFractal *defaultFractal = fractals.GetFractal(fractalIndex);
sExtendedAux extendedAux;
extendedAux.r_dz = 1.0;
extendedAux.r = r;
extendedAux.color = 1.0;
extendedAux.actualScale = fractals.GetFractal(fractalIndex)->mandelbox.scale;
extendedAux.DE = 1.0;
extendedAux.c = c;
extendedAux.cw = 0;
extendedAux.foldFactor = 0.0;
extendedAux.minRFactor = 0.0;
extendedAux.scaleFactor = 0.0;
// extendedAux.newR = 1e+20;
// extendedAux.axisBias = 1e+20;
// extendedAux.orbitTraps = 1e+20;
// extendedAux.transformSampling = 1e+20;
// main iteration loop
int i;
int sequence = 0;
CVector3 lastGoodZ;
CVector3 lastZ;
for (i = 0; i < in.maxN; i++)
{
lastGoodZ = lastZ;
lastZ = z;
// hybrid fractal sequence
if (in.forcedFormulaIndex >= 0)
{
sequence = in.forcedFormulaIndex;
}
else
{
sequence = fractals.GetSequence(i);
}
// foldings
if (in.common.foldings.boxEnable)
{
BoxFolding(z, &in.common.foldings, extendedAux);
r = z.Length();
}
if (in.common.foldings.sphericalEnable)
{
extendedAux.r = r;
SphericalFolding(z, &in.common.foldings, extendedAux);
r = z.Length();
}
const cFractal *fractal = fractals.GetFractal(sequence);
formula = fractal->formula;
// temporary vector for weight function
CVector3 tempZ = z;
extendedAux.r = r;
if (!fractals.IsHybrid() || fractals.GetWeight(sequence) > 0.0)
{
// calls for fractal formulas
switch (formula)
{
case mandelbulb:
{
MandelbulbIteration(z, fractal, extendedAux);
break;
}
case mandelbulb2:
{
Mandelbulb2Iteration(z, extendedAux);
break;
}
case mandelbulb3:
{
Mandelbulb3Iteration(z, extendedAux);
break;
}
case mandelbulb4:
{
Mandelbulb4Iteration(z, fractal, extendedAux);
break;
}
case fast_mandelbulb_power2:
{
MandelbulbPower2Iteration(z, extendedAux);
break;
}
case xenodreambuie:
{
XenodreambuieIteration(z, fractal, extendedAux);
break;
}
case mandelbox:
{
MandelboxIteration(z, fractal, extendedAux);
break;
}
case smoothMandelbox:
{
SmoothMandelboxIteration(z, fractal, extendedAux);
break;
}
case boxFoldBulbPow2:
{
BoxFoldBulbPow2Iteration(z, fractal);
break;
}
case menger_sponge:
{
MengerSpongeIteration(z, extendedAux);
break;
}
case kaleidoscopicIFS:
{
KaleidoscopicIFSIteration(z, fractal, extendedAux);
break;
}
case aexion:
{
AexionIteration(z, w, i, fractal, extendedAux);
break;
}
case hypercomplex:
{
HypercomplexIteration(z, w, extendedAux);
break;
}
case quaternion:
{
QuaternionIteration(z, w, extendedAux);
break;
}
case benesi:
{
BenesiIteration(z, c, extendedAux);
break;
}
case bristorbrot:
{
BristorbrotIteration(z, extendedAux);
break;
}
case ides:
{
IdesIteration(z, fractal);
break;
}
case ides2:
{
Ides2Iteration(z, fractal);
break;
}
case buffalo:
{
BuffaloIteration(z, fractal, extendedAux);
break;
}
case quickdudley:
{
QuickDudleyIteration(z);
break;
}
case quickDudleyMod:
{
QuickDudleyModIteration(z, fractal);
break;
}
case lkmitch:
{
LkmitchIteration(z);
break;
}
case makin3d2:
{
Makin3D2Iteration(z);
break;
}
case msltoeDonut:
{
MsltoeDonutIteration(z, fractal, extendedAux);
break;
}
case msltoesym2Mod:
{
MsltoeSym2ModIteration(z, c, fractal, extendedAux);
break;
}
case msltoesym3Mod:
{
MsltoeSym3ModIteration(z, c, i, fractal, extendedAux);
break;
}
case msltoesym3Mod2:
{
MsltoeSym3Mod2Iteration(z, c, fractal, extendedAux);
break;
}
case msltoesym3Mod3:
{
MsltoeSym3Mod3Iteration(z, c, i, fractal, extendedAux);
break;
}
case msltoesym4Mod:
{
MsltoeSym4ModIteration(z, c, fractal, extendedAux);
break;
}
case msltoeToroidal:
{
MsltoeToroidalIteration(z, fractal, extendedAux);
break;
}
case msltoeToroidalMulti:
{
MsltoeToroidalMultiIteration(z, fractal, extendedAux);
break;
}
case generalizedFoldBox:
{
GeneralizedFoldBoxIteration(z, fractal, extendedAux);
break;
}
case aboxMod1:
{
AboxMod1Iteration(z, fractal, extendedAux);
break;
}
case aboxMod2:
{
AboxMod2Iteration(z, fractal, extendedAux);
break;
}
case aboxModKali:
{
AboxModKaliIteration(z, fractal, extendedAux);
break;
}
case aboxModKaliEiffie:
{
AboxModKaliEiffieIteration(z, c, i, fractal, extendedAux);
break;
}
case aboxVSIcen1:
{
AboxVSIcen1Iteration(z, c, fractal, extendedAux);
break;
}
case aexionOctopusMod:
{
AexionOctopusModIteration(z, c, fractal);
break;
}
case amazingSurf:
{
AmazingSurfIteration(z, fractal, extendedAux);
break;
}
case amazingSurfMod1:
{
AmazingSurfMod1Iteration(z, fractal, extendedAux);
break;
}
case amazingSurfMulti:
{
AmazingSurfMultiIteration(z, i, fractal, extendedAux);
break;
}
case benesiPineTree:
{
BenesiPineTreeIteration(z, c, fractal, extendedAux);
break;
}
case benesiT1PineTree:
{
BenesiT1PineTreeIteration(z, c, i, fractal, extendedAux);
break;
}
case benesiMagTransforms:
{
BenesiMagTransformsIteration(z, c, i, fractal, extendedAux);
break;
}
case collatz:
{
CollatzIteration(z, extendedAux);
break;
}
case collatzMod:
{
CollatzModIteration(z, c, fractal, extendedAux);
break;
}
case eiffieMsltoe:
{
EiffieMsltoeIteration(z, c, fractal, extendedAux);
break;
}
case foldBoxMod1:
{
FoldBoxMod1Iteration(z, i, fractal, extendedAux);
break;
}
case iqBulb:
{
IQbulbIteration(z, fractal, extendedAux);
break;
}
case kalisets1:
{
Kalisets1Iteration(z, c, fractal, extendedAux);
break;
}
case mandelboxMenger:
{
MandelboxMengerIteration(z, c, i, fractal, extendedAux);
break;
}
case mandelbulbBermarte:
{
MandelbulbBermarteIteration(z, fractal, extendedAux);
break;
}
case mandelbulbKali:
{
MandelbulbKaliIteration(z, fractal, extendedAux);
break;
}
case mandelbulbKaliMulti:
{
MandelbulbKaliMultiIteration(z, c, fractal, extendedAux);
break;
}
case mandelbulbMulti:
{
MandelbulbMultiIteration(z, c, fractal, extendedAux);
break;
}
case mandelbulbVaryPowerV1:
{
MandelbulbVaryPowerV1Iteration(z, i, fractal, extendedAux);
break;
}
case mengerMod1:
{
MengerMod1Iteration(z, i, fractal, extendedAux);
break;
}
case mengerMiddleMod:
{
MengerMiddleModIteration(z, c, i, fractal, extendedAux);
break;
}
case mengerPrismShape:
{
MengerPrismShapeIteration(z, i, fractal, extendedAux);
break;
}
case mengerPwr2Poly:
{
MengerPwr2PolyIteration(z, c, i, fractal, extendedAux);
break;
}
case riemannSphereMsltoe:
{
RiemannSphereMsltoeIteration(z, fractal);
break;
}
case riemannSphereMsltoeV1:
{
RiemannSphereMsltoeV1Iteration(z, fractal);
break;
}
case riemannBulbMsltoeMod2:
{
RiemannBulbMsltoeMod2Iteration(z, fractal);
break;
}
case quaternion3D:
{
Quaternion3DIteration(z, fractal, extendedAux);
break;
}
case fastImagscaPower2:
{
FastImagscaPower2Iteration(z);
break;
}
case crossMenger:
{
CrossMengerIteration(z, c, i, fractal, extendedAux);
break;
}
// transforms
// ------------------------------------------------------------------------------------------
case transfAdditionConstant:
{
TransformAdditionConstantIteration(z, fractal);
break;
}
case transfAdditionConstantVaryV1:
{
TransformAdditionConstantVaryV1Iteration(z, i, fractal);
break;
}
case transfAddCpixel:
{
TransformAddCpixelIteration(z, c, fractal);
break;
}
case transfAddCpixelAxisSwap:
{
TransformAddCpixelAxisSwapIteration(z, c, fractal);
break;
}
case transfAddCpixelCxCyAxisSwap:
{
TransformAddCpixelCxCyAxisSwapIteration(z, c, fractal);
break;
}
case transfAddCpixelPosNeg:
{
TransformAddCpixelPosNegIteration(z, c, fractal);
break;
}
case transfAddCpixelVaryV1:
{
TransformAddCpixelVaryV1Iteration(z, c, i, fractal);
break;
}
case transfBenesiT1:
{
TransformBenesiT1Iteration(z, fractal, extendedAux);
break;
}
case transfBenesiT1Mod:
{
TransformBenesiT1ModIteration(z, fractal, extendedAux);
break;
}
case transfBenesiT2:
{
TransformBenesiT2Iteration(z, fractal, extendedAux);
break;
}
case transfBenesiT3:
{
TransformBenesiT3Iteration(z, fractal);
break;
}
case transfBenesiT4:
{
TransformBenesiT4Iteration(z, fractal);
break;
}
case transfBenesiT5b:
{
TransformBenesiT5bIteration(z, fractal);
break;
}
case transfBenesiMagForward:
{
TransformBenesiMagForwardIteration(z);
break;
}
case transfBenesiMagBackward:
{
TransformBenesiMagBackwardIteration(z);
break;
}
case transfBenesiCubeSphere:
{
TransformBenesiCubeSphereIteration(z);
break;
}
case transfBenesiSphereCube:
{
TransformBenesiSphereCubeIteration(z);
break;
}
case transfBoxFold:
{
TransformBoxFoldIteration(z, fractal, extendedAux);
break;
}
case transfBoxFoldXYZ:
{
TransformBoxFoldXYZIteration(z, fractal, extendedAux);
break;
}
case transfBoxOffset:
{
TransformBoxOffsetIteration(z, fractal, extendedAux);
break;
}
case transfFabsAddConstant:
{
TransformFabsAddConstantIteration(z, fractal);
break;
}
case transfFabsAddConstantV2:
{
TransformFabsAddConstantV2Iteration(z, fractal);
break;
}
case transfFabsAddMulti:
{
TransformFabsAddMultiIteration(z, fractal);
break;
}
case transfFoldingTetra3D:
{
TransformFoldingTetra3DIteration(z, fractal);
break;
}
case transfIterationWeight:
{
TransformIterationWeightIteration(z, i, fractal);
break;
}
case transfInvCylindrical:
{
TransformInvCylindricalIteration(z, fractal, extendedAux);
break;
}
case transfLinCombineCxyz:
{
TransformLinCombineCxyz(c, fractal);
break;
}
case transfMultipleAngle:
{
TransformMultipleAngle(z, fractal, extendedAux);
break;
}
case transfNegFabsAddConstant:
{
TransformNegFabsAddConstantIteration(z, fractal);
break;
}
case transfPwr2Polynomial:
{
TransformPwr2PolynomialIteration(z, fractal, extendedAux);
break;
}
case transfRotation:
{
TransformRotationIteration(z, fractal);
break;
}
case transfRotationVaryV1:
{
TransformRotationVaryV1Iteration(z, i, fractal);
break;
}
case transfRpow3:
{
TransformRpow3Iteration(z, fractal, extendedAux);
break;
}
case transfScale:
{
TransformScaleIteration(z, fractal, extendedAux);
break;
}
case transfScaleVaryV1:
{
TransformScaleVaryV1Iteration(z, i, fractal, extendedAux);
break;
}
case transfScale3D:
{
TransformScale3DIteration(z, fractal, extendedAux);
break;
}
case platonicSolid:
{
TransformPlatonicSolidIteration(z, fractal);
break;
}
case transfRPower:
{
TransformPowerR(z, fractal, extendedAux);
break;
}
case transfSphereInvC:
{
TransformSphereInvCIteration(z, c, fractal);
break;
}
case transfSphereInv:
{
TransformSphereInvIteration(z, fractal, extendedAux);
break;
}
case transfSphericalOffset:
{
TransformSphericalOffsetIteration(z, fractal, extendedAux);
break;
}
case transfSphericalFold:
{
TransformSphericalFoldIteration(z, fractal, extendedAux);
break;
}
case transfSphericalFoldAbox:
{
TransformSphericalFoldAboxIteration(z, fractal, extendedAux);
break;
}
case transfSphericalFoldVaryV1:
{
TransformSphericalFoldVaryV1Iteration(z, i, fractal, extendedAux);
break;
}
case transfSphericalPwrFold:
{
TransformSphericalPwrFoldIteration(z, fractal, extendedAux);
break;
}
case transfSurfFoldMulti:
{
TransformSurfFoldMultiIteration(z, fractal, extendedAux);
break;
}
case transfZvectorAxisSwap:
{
TransformZvectorAxisSwapIteration(z, fractal);
break;
}
case transfRotationFoldingPlane:
{
TransformRotationFoldingPlane(z, fractal, extendedAux);
break;
}
case transfQuaternionFold:
{
TransformQuaternionFoldIteration(z, c, fractal, extendedAux);
break;
}
case transfMengerFold:
{
TransformMengerFoldIteration(z, fractal, extendedAux);
break;
}
// 4D ---------------------------------------------------------------------------
case quaternion4D:
{
CVector4 z4D(z, w);
Quaternion4DIteration(z4D, i, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case mandelboxVaryScale4D:
{
CVector4 z4D(z, w);
MandelboxVaryScale4DIteration(z4D, i, fractal, extendedAux);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfAdditionConstant4D:
{
CVector4 z4D(z, w);
TransformAdditionConstant4DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfBoxFold4D:
{
CVector4 z4D(z, w);
TransformBoxFold4DIteration(z4D, fractal, extendedAux);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfFabsAddConstant4D:
{
CVector4 z4D(z, w);
TransformFabsAddConstant4DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfFabsAddConstantV24D:
{
CVector4 z4D(z, w);
TransformFabsAddConstantV24DIteration(z4D, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfIterationWeight4D:
{
CVector4 z4D(z, w);
TransformIterationWeight4DIteration(z4D, i, fractal);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfScale4D:
{
CVector4 z4D(z, w);
TransformScale4DIteration(z4D, fractal, extendedAux);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
case transfSphericalFold4D:
{
CVector4 z4D(z, w);
TransformSphericalFold4DIteration(z4D, fractal, extendedAux);
z = z4D.GetXYZ();
w = z4D.w;
break;
}
default:
double high = fractals.GetBailout(sequence) * 10.0;
z = CVector3(high, high, high);
break;
}
}
// addition of constant
if (fractals.IsAddCConstant(sequence))
{
switch (formula)
{
case aboxMod1:
case amazingSurf:
// case amazingSurfMod1:
{
if (fractals.IsJuliaEnabled(sequence))
{
CVector3 juliaC =
fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence);
z += CVector3(juliaC.y, juliaC.x, juliaC.z);
}
else
{
z += CVector3(c.y, c.x, c.z) * fractals.GetConstantMultiplier(sequence);
}
break;
}
default:
{
if (fractals.IsJuliaEnabled(sequence))
{
z += fractals.GetJuliaConstant(sequence) * fractals.GetConstantMultiplier(sequence);
}
else
{
z += c * fractals.GetConstantMultiplier(sequence);
}
break;
}
}
}
if (fractals.IsHybrid())
{
z = SmoothCVector(tempZ, z, fractals.GetWeight(sequence));
}
// r calculation
// r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z + w * w);
switch (fractal->formula)
{
case fastImagscaPower2:
{
CVector3 z2 = z * z;
r = sqrt(z2.x + z2.y + z2.z) + (z2.y * z2.z) / (z2.x);
break;
}
// scator magnitudes
// magnitude in imaginary scator algebra
default:
{
r = sqrt(z.x * z.x + z.y * z.y + z.z * z.z + w * w);
break;
}
}
if (z.IsNotANumber())
{
z = lastZ;
r = z.Length();
w = 0.0;
out->maxiter = true;
break;
}
// escape conditions
if (fractals.IsCheckForBailout(sequence))
{
if (Mode == calcModeNormal)
{
if (r > fractals.GetBailout(sequence))
{
out->maxiter = false;
break;
}
}
else if (Mode == calcModeDeltaDE1)
{
if (r > fractals.GetBailout(sequence))
{
out->maxiter = false;
break;
}
}
else if (Mode == calcModeDeltaDE2)
{
if (i == in.maxN) break;
}
else if (Mode == calcModeColouring)
{
double len = 0.0;
switch (in.fractalColoring.coloringAlgorithm)
{
case sFractalColoring::fractalColoringStandard:
{
len = r;
break;
}
case sFractalColoring::fractalColoringZDotPoint:
{
len = fabs(z.Dot(in.point));
break;
}
case sFractalColoring::fractalColoringSphere:
{
len = fabs((z - in.point).Length() - in.fractalColoring.sphereRadius);
break;
}
case sFractalColoring::fractalColoringCross:
{
len = dMin(fabs(z.x), fabs(z.y), fabs(z.z));
break;
}
case sFractalColoring::fractalColoringLine:
{
len = fabs(z.Dot(in.fractalColoring.lineDirection));
break;
}
case sFractalColoring::fractalColoringNone:
{
len = r;
break;
}
}
if (fractal->formula != mandelbox
|| in.fractalColoring.coloringAlgorithm != sFractalColoring::fractalColoringStandard)
{
if (len < minimumR) minimumR = len;
}
if (r > 1e15) break;
}
else if (Mode == calcModeOrbitTrap)
{
CVector3 delta = z - in.common.fakeLightsOrbitTrap;
double distance = delta.Length();
if (i >= in.common.fakeLightsMinIter && i <= in.common.fakeLightsMaxIter)
orbitTrapTotal += (1.0f / (distance * distance));
if (distance > 1000)
{
out->orbitTrapR = orbitTrapTotal;
break;
}
}
}
if (z.IsNotANumber()) // detection of dead computation
{
// if(Mode != calcModeColouring)
// qWarning() << "Dead computation\n"
// << "iteration: " << i << "Formula:" << formula << "Sequence:" << sequence
// << "\nPoint:" << in.point.Debug()
// << "\nLast good z:" << lastGoodZ.Debug()
// << "\nPrevious z:" << lastZ.Debug();
z = lastGoodZ;
break;
}
}
// final calculations
if (Mode == calcModeNormal)
{
if (fractals.IsHybrid())
{
if (extendedAux.r_dz > 0)
{
if (fractals.GetDEFunctionType(0) == fractal::linearDEFunction)
{
out->distance = r / fabs(extendedAux.DE);
}
else if (fractals.GetDEFunctionType(0) == fractal::logarithmicDEFunction)
{
out->distance = 0.5 * r * log(r) / extendedAux.r_dz;
}
}
else
{
out->distance = r;
}
}
else
{
switch (formula)
{
case benesi:
case benesiPineTree:
case benesiT1PineTree:
case bristorbrot:
case buffalo:
case eiffieMsltoe:
case fast_mandelbulb_power2:
case hypercomplex:
case iqBulb:
case mandelbulb:
case mandelbulb2:
case mandelbulb3:
case mandelbulb4:
case mandelbulbBermarte:
case mandelbulbKali:
case mandelbulbKaliMulti:
case mandelbulbMulti:
case mandelbulbVaryPowerV1:
case msltoesym2Mod:
case msltoesym3Mod:
case msltoesym3Mod2:
case msltoesym3Mod3:
case msltoesym4Mod:
case msltoeToroidal: // TODO fix??
case msltoeToroidalMulti: // TODO fix??
case quaternion:
case transfQuaternionFold: // hmmm, this issue again
case quaternion3D:
case xenodreambuie:
{
if (extendedAux.r_dz > 0)
out->distance = 0.5 * r * log(r) / extendedAux.r_dz;
else
out->distance = r;
break;
}
case mandelbox:
case mandelboxMenger:
case smoothMandelbox:
case mandelboxVaryScale4D:
case generalizedFoldBox:
case foldBoxMod1:
case aboxModKali:
case aboxModKaliEiffie:
case aboxMod1:
case aboxMod2:
case amazingSurf:
case amazingSurfMod1:
case amazingSurfMulti:
case kalisets1:
case aboxVSIcen1:
{
if (extendedAux.DE > 0)
out->distance = r / fabs(extendedAux.DE);
else
out->distance = r;
break;
}
case kaleidoscopicIFS:
case menger_sponge:
case crossMenger:
case mengerPrismShape:
case collatz:
case collatzMod:
case mengerMod1:
case mengerMiddleMod:
case transfMengerFold: // hmmm, this issue again
case mengerPwr2Poly:
{
if (extendedAux.DE > 0)
out->distance = (r - 2.0) / (extendedAux.DE);
else
out->distance = r;
break;
}
default: out->distance = -1.0; break;
}
}
}
// color calculation
else if (Mode == calcModeColouring)
{
double mboxDE = 1.0;
mboxDE = extendedAux.DE;
double r2 = r / fabs(mboxDE);
if (r2 > 20) r2 = 20;
if (fractals.IsHybrid())
{
if (minimumR > 100) minimumR = 100;
double mboxColor = 0.0;
mboxColor = extendedAux.color;
if (mboxColor > 1000) mboxColor = 1000;
out->colorIndex = minimumR * 1000.0 + mboxColor * 100 + r2 * 5000.0;
/*out->colorIndex =
extendedAux.color * 100.0 * extendedAux.foldFactor // folds part
+ r * defaultFractal->mandelbox.color.factorR / 1e13 // abs z part
+ 1.0 * r2 * 5000.0 // for backwards compatability
+ extendedAux.scaleFactor * r * i / 1e15 // scale part conditional on i & r
+ ((in.fractalColoring.coloringAlgorithm != sFractalColoring::fractalColoringStandard)
? minimumR * extendedAux.minRFactor * 1000.0
: 0.0);*/
}
else
{
switch (formula)
{
case mandelbox:
case smoothMandelbox:
case mandelboxVaryScale4D:
case generalizedFoldBox:
case amazingSurfMod1:
case foldBoxMod1:
out->colorIndex =
extendedAux.color * 100.0 // folds part
+ r * defaultFractal->mandelbox.color.factorR / 1e13 // abs z part
+ ((in.fractalColoring.coloringAlgorithm != sFractalColoring::fractalColoringStandard)
? minimumR * 1000.0
: 0.0);
break;
case mengerMod1:
case aboxModKali:
case aboxMod1:
case menger_sponge:
case collatz:
case collatzMod:
case kaleidoscopicIFS:
case mengerPwr2Poly:
case mengerMiddleMod: out->colorIndex = minimumR * 1000.0; break;
case amazingSurf: out->colorIndex = minimumR * 200.0; break;
case amazingSurfMulti:
case mandelboxMenger:
// case amazingSurfMod1:
out->colorIndex =
extendedAux.color * 100.0 * extendedAux.foldFactor // folds part
+ r * defaultFractal->mandelbox.color.factorR / 1e13 // abs z part
+ extendedAux.scaleFactor * r2 * 5000.0 // for backwards compatability
//+ extendedAux.scaleFactor * r * i / 1e15 // scale part conditional on i & r
+ ((in.fractalColoring.coloringAlgorithm != sFractalColoring::fractalColoringStandard)
? minimumR * extendedAux.minRFactor * 1000.0
: 0.0);
break;
case msltoeDonut: out->colorIndex = extendedAux.color * 2000.0 / i; break;
default: out->colorIndex = minimumR * 5000.0; break;
}
}
}
else
{
out->distance = 0.0;
}
out->iters = i + 1;
out->z = z; // CVector3( z.x, z.y, w);
// tim = rdtsc() - tim; perf+= tim; perfCount++; outStream << (double)perf/perfCount - 560.0 <<
// endl;
//------------- 3249 ns for all calculation ----------------
}
