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Object common:Generic common:Formula common:DivergentFormula mmf:MMF_SwitchDivergentFormula jlb:JLB_SlopeWithShapes
class
A slope formula that can be used with any object formualas.
Original code modified from Damien M. Jones by Ron Barnett.
Uses a special helper class that allows TrapShape plugins for height values
class JLB_SlopeWithShapes(mmf.ulb:MMF_SwitchDivergentFormula) { ; A slope formula that can be used with any object formualas. <br> ; <p> ; Original code modified from Damien M. Jones by Ron Barnett. ; Uses a special helper class that allows TrapShape plugins for height values public: import "common.ulb" ; constructor func JLB_SlopeWithShapes(Generic pparent) MMF_SwitchDivergentFormula.MMF_SwitchDivergentFormula(pparent) m_BailoutFunc = new @f_bailout(this) fHelper[0] = new @helperclass(this) fHelper[1] = new @helperclass(this) fHelper[2] = new @helperclass(this) endfunc ; initialize the object complex func Init(complex pz) m_BailoutFunc.Init(@p_bailout) ; from parent class pz = MMF_SwitchDivergentFormula.Init(pz) z1 = fHelper[0].Init(pz, fConstant) ; primary iterated point fHelper[1].Init(pz + @offset, fConstant) ; horizontally offset point fHelper[2].Init(pz + flip(@offset), fConstant) ; vertically offset point fIteration = 0 return z1 endfunc ; call for each iterated point. Overrides the parent Iterate function. <br> ; <p> ; We can't use the pz value because we need to keep track of three z values. ; The helper function manages the pz values and bailout. complex func Iterate(complex pz) fIteration = fIteration + 1 z1 = fHelper[0].Iterate(fConstant) fHelper[1].Iterate(fConstant) fHelper[2].Iterate(fConstant) bool BailedOut = IsBailedOut(z1) if @everyiter || BailedOut || fIteration == #maxiter ; done, or every iteration, or last float e1 = fHelper[0].CalcHeight(fIteration) float e2 = fHelper[1].CalcHeight(fIteration) float e3 = fHelper[2].CalcHeight(fIteration) ; determine surface normal ; that is, the normal to the surface defined by: ; (real(c1), imag(c1), e1) ; (real(c2), imag(c2), e2) ; (real(c3), imag(c3), e3) float vx = e2-e1 float vy = e3-e1 float vz = -@offset ; normalize vector float vd = 1/sqrt(sqr(vx)+sqr(vy)+sqr(vz)) vx = vx*vd vy = vy*vd vz = vz*vd return vx + flip(vy); fudge z from vector else ; didn't compute z this time ; use primary iteration value to keep periodicity working return z1 endif endfunc ; @param pz ; @return true if bailed out. bool func IsBailedOut(complex pz) return m_BailoutFunc.Iterate(z1) ; pz is a normal endfunc private: JLB_SlopeHelper fHelper[3] int fIteration Reduction m_BailoutFunc complex z1 default: title = "Slope With Shapes" int param v_slopeWithShapes caption = "Version (Slope With Shapes)" default = 101 hint = "This version parameter is used to detect when a change has been made to the formula that is incompatible with the previous version. When that happens, this field will reflect the old version number to alert you to the fact that an alternate rendering is being used." visible = @v_slopeWithShapes < 101 endparam JLB_SlopeHelper param helperclass selectable = false endparam float param offset caption = "Orbit Separation" default = 0.00000001 exponential = true hint = "Defines how far apart the simultaneous orbits are. Smaller \ distances will produce more accurate results." endparam bool param everyiter caption = "Every Iteration" default = false hint = "If set, the surface normal will be computed at every \ iteration. If you are using a coloring algorithm which \ processes every iteration, you will need this." endparam complex param p_power ; Hide p_power from Formula visible = false endparam Heading caption = "Bailout" Endheading Reduction param f_bailout caption = "Bailout Type" default = JLB_SimpleBailout endparam }
Constructor Summary | |
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JLB_SlopeWithShapes()
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JLB_SlopeWithShapes(Generic pparent)
constructor |
Method Summary | |
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complex |
Init(complex pz)
initialize the object |
boolean |
IsBailedOut(complex pz)
Test whether the formula has bailed out (i.e. |
complex |
Iterate(complex pz)
call for each iterated point. |
Methods inherited from class mmf:MMF_SwitchDivergentFormula |
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SetParams |
Methods inherited from class common:DivergentFormula |
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GetUpperBailout |
Methods inherited from class common:Formula |
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GetLowerBailout, GetPrimaryExponent |
Methods inherited from class common:Generic |
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GetParent |
Methods inherited from class Object |
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Constructor Detail |
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public JLB_SlopeWithShapes(Generic pparent)
public JLB_SlopeWithShapes()
Method Detail |
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public complex Init(complex pz)
Init
in class MMF_SwitchDivergentFormula
pz
- the initial location
public complex Iterate(complex pz)
We can't use the pz value because we need to keep track of three z values. The helper function manages the pz values and bailout.
Iterate
in class Formula
pz
- previous value in the sequence; corresponds to #z in a fractal formula. Note that you should always use this value for computing the next iteration, rather than a saved value, as the calling code may modify the returned value before passing it back to the next Iterate() call.
public boolean IsBailedOut(complex pz)
DivergentFormula
Since this is a divergent fractal, the test is easy: if it's bigger than the bailout, the sequence is done.
IsBailedOut
in class DivergentFormula
pz
-
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