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51^#

lnszdzg发表于 2014-5-6 10:04 | 只看该作者

UF中的一个陷阱，Mathcad实现了
UF代码
HypocycloidTrap {
  ; Paul Carlson
  ; Coloring Method extraced from "HNspirJ2".
  ; By Ken Childress July 1999.
init:
  bool trapped = FALSE
  float range_num = 0
  float num_ranges = real(@RangesColors)
  float colors_in_range = imag(@RangesColors)
  float index_factor = (colors_in_range - 1) / @width
  float color_index = 0
  int iter = 0
  complex i = (0,1)
  complex k = 0
  complex angle = 0
  complex ka = 0
  complex rz = 0
  complex iz = 0
  complex v = 0
  float dist = 0

loop:
  IF !trapped && (iter >= @skip)
angle = atan(imag(#z) / real(#z))
k = 1.2 - @hfactor
ka = k * angle / @hfactor
rz = k * cos(angle) + @hfactor * cos(ka)
iz = k * sin(angle) + @hfactor * sin(ka)
v = rz + i * iz
dist = abs(|#z| - |v|)

IF (dist < @width && iter >= @skip)
   trapped = TRUE
   range_num = iter % num_ranges
   color_index = index_factor * dist +  range_num * colors_in_range
ENDIF

  ENDIF

  iter = iter + 1

final:
  IF trapped
#index = ((real(color_index)+1) % 256) / 256 + @randomness * real(#random)
  ELSE
IF @solid
   #solid = TRUE
ELSE
   #index = @back_color / 256
ENDIF
  ENDIF

default:
  title = "Hypocycloid Trap"

  param width
caption = "Stalk Width Factor"
default = 0.03
hint = "Controls stalk width."
  endparam

  param hfactor
caption = "Hypocycloid Factor"
default = 0.4
hint = "Hypocycloid Factor."
  endparam

  param skip
caption = "Iterations to skip"
default = 0
hint = "Iterations to skip."
  endparam

  param RangesColors
caption = "Ranges and Colors"
default = (2, 125)
hint = "Number of Color Ranges and Number of Colors in each Range."
  endparam

  param back_color
caption = "Background Color"
hint = "This is the color used for orbits that aren't trapped. It has \
         no effect if the background is solid."
default = 254
min = 0
max = 255
  endparam

  param solid
caption = "Solid Background"
hint = "If this is enabled orbits that aren't trapped become solid."
default = false
  endparam

  param randomness
caption = "Random Texture"
default = 0.0
hint = "This adds a random texture to the coloring."
  endparam
}

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52^#

lnszdzg发表于 2014-5-6 10:26 | 只看该作者

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53^#

lnszdzg发表于 2014-5-6 10:52 | 只看该作者

52# lnszdzg

点陷阱，用了HLS颜色

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54^#

lnszdzg发表于 2014-5-6 14:16 | 只看该作者

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55^#

lnszdzg发表于 2014-5-6 14:19 | 只看该作者

UF代码

Rings_Coloring {
  ; Paul W. Carlson
  ; Variant #1 extracted from "RsNewtMset1".
  ; Variant #2 extracted from "R4Julia".
  ; By Ken Childress June 1999.
init:
  bool first = TRUE
  bool trapped = FALSE
  int iter = 0
  float HalfT = 0.5 * @T
  float Phi = #pi * 0.125
  float Ro = @Rm + HalfT
  float Py = @Rm * sin(Phi)
  float Px = @Rm * cos(Phi)
  float Dsqd = @Rm * @Rm + Ro * Ro - 2 * Ro * Px
  float color_index = 252
  float index_factor = @colors_in_range - 1

  ; Initialization for Variant #1
  complex k = (0.5, 0.5)
  float index_factor1 = (@colors_in_range - 1) / @Rm

loop:
  IF @Variant == 0

IF (!trapped && (abs(cabs(#z) - @Rm) < HalfT) && \
   first == FALSE && iter >= @skip)

   trapped = TRUE
   float X = real(#z)
   float Y = imag(#z)
   float Xabs = abs(X)
   float Yabs = abs(Y)
   IF (Xabs >= Yabs)
      float WtoPsqd = (Xabs-Px)*(Xabs-Px) + (Yabs-Py)*(Yabs-Py)
   ELSE
      WtoPsqd = (Xabs-Py)*(Xabs-Py) + (Yabs-Px)*(Yabs-Px)
   ENDIF
   IF (X >= 0 && Y >= 0)
      IF (Xabs >= Yabs)
      float Segment = 0
      ELSE
      Segment = 1
      ENDIF
   ELSEIF (X < 0 && Y >= 0)
      IF (Xabs < Yabs)
      Segment = 2
      ELSE
      Segment = 3
      ENDIF
   ELSEIF (X < 0 && Y < 0)
      IF (Xabs >= Yabs)
      Segment = 4
      ELSE
      Segment = 5
      ENDIF
   ELSE
      IF (Xabs < Yabs)
      Segment = 6
      ELSE
      Segment = 7
      ENDIF
   ENDIF
   float Ratio = sqrt(WtoPsqd/Dsqd)
   ; Modulate Segment for less than eight ranges.
   float range_num = Segment % @num_ranges
   color_index = index_factor * Ratio + range_num * @colors_in_range
ENDIF
first = FALSE

  ELSEIF @Variant == 1

IF !trapped && iter >= @skip
   float dist = abs(|#z - k| - 0.01)
   IF dist < @Rm
      trapped = TRUE
      float range_num = iter % @num_ranges
      color_index = index_factor1 * dist + range_num * @colors_in_range
   ENDIF
ENDIF

  ENDIF

  iter = iter + 1

final:
  if trapped
; Adjust color index to gradient range.
#index = (color_index + 1) % 256 / 256 + @randomness * real(#random)
  else
if @solid
   #solid = true
else
; For the purists we don't have to be solid.
   #index = @back_color / 256
endif
  endif

default:
  title = "Ring Coloring"

  param Variant
caption = "Ring Variant"
enum = "Variant #1" "Variant #2"
default = 0
hint = "The Ring variant to use."
  endparam

  param Rm
caption = "Ring radius"
default = 1.0
hint = "The radius to the midline of the ring."
  endparam

  param T
caption = "Ring thickness"
default = 0.2
hint = "The thickness of the ring. This is not used for Variant #2."
  endparam

  param skip
caption = "Iterations to Skip"
default = 0
hint = "The number of iterations to skip.  This is not used for Normal."
  endparam

  param num_ranges
Caption = "Color ranges"
hint = "This is the number of separate color ranges."
default = 8
  endparam

  param colors_in_range
Caption = "Colors in range"
hint = "This is the number of colors in each color range."
default = 30
  endparam

  param back_color
caption = "Background Color"
hint = "This is the color used for orbits that aren't trapped. It has \
         no effect if the background is solid."
default = 254
  endparam

  param solid
caption = "Solid Background"
hint = "If this is enabled orbits that aren't trapped become solid."
default = false
  endparam

  param randomness
caption = "Random Texture"
default = 0.0
hint = "This adds a random texture to the coloring."
  endparam
}

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