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Objectcommon: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 | |
|---|---|
JLB_SlopeWithShapes()
|
|
JLB_SlopeWithShapes(Generic pparent)
constructor |
|
| Method Summary | |
|---|---|
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 |
|---|
SetParams |
| Methods inherited from class common:DivergentFormula |
|---|
GetUpperBailout |
| Methods inherited from class common:Formula |
|---|
GetLowerBailout, GetPrimaryExponent |
| Methods inherited from class common:Generic |
|---|
GetParent |
| Methods inherited from class Object |
|---|
|
| Constructor Detail |
|---|
public JLB_SlopeWithShapes(Generic pparent)
public JLB_SlopeWithShapes()
| Method Detail |
|---|
public complex Init(complex pz)
Init in class MMF_SwitchDivergentFormulapz - 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 Formulapz - 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)
DivergentFormulaSince this is a divergent fractal, the test is easy: if it's bigger than the bailout, the sequence is done.
IsBailedOut in class DivergentFormulapz -
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