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/// POV-Ray 3.6 / 3.7 Scene File "function1_derived.pov"
// by Friedrich A. Lohmueller, Feb-2013
//------------------------------------------------------------------------
// Choose image_size by
// adding to the command line:
//
// +w700 +h700
//
//------------------------------------------------------------------------
#version 3.7;
global_settings{ assumed_gamma 1.0 }
#default{ finish{ ambient 0.1 diffuse 0.9 }}
//------------------------------------------------------------------------
//------------------------------------------------------------------------
#include "colors.inc"
#include "textures.inc"
//------------------------------------------------------------------------
#declare Camera_0 = camera { perspective
location < 0.00, 0.00,-40.0>
look_at < 0.00, 0.00, 0.00>
angle 15.7
right x*image_width/image_height
}
camera{Camera_0}
//------------------------------------------------------------------------
// sun -------------------------------------------------------------------
light_source{<1000,1000,-2500> color White}
// sky -------------------------------------------------------------------
sky_sphere{ pigment{ gradient <0,1,0>
color_map{ [0 color rgb<1,1,1> ]//White
[0.4 color rgb<0.14,0.14,0.56>]//~Navy
[0.6 color rgb<0.14,0.14,0.56>]//~Navy
[1.0 color rgb<1,1,1> ]//White
}
scale 2 }
} // end of sky_sphere
//------------------------------------------------------------------------
//------------------------------ the Axes --------------------------------
//------------------------------------------------------------------------
#macro Axis( AxisLen, Dark_Texture, Light_Texture)
union{
cylinder { <0,-AxisLen-0.5,0>,<0,AxisLen,0>,0.035
texture{checker texture{Dark_Texture }
texture{Light_Texture}
translate<0.1,0,0.1>}
}
cone{<0,AxisLen,0>,0.15,<0,AxisLen+0.45,0>,0
texture{Dark_Texture}
}
} // end of union
#end // of macro "Axis()"
//------------------------------------------------------------------------
#macro AxisXY( AxisLenX, AxisLenY, Tex_Dark, Tex_Light)
//--------------------- drawing of 3 Axes --------------------------------
union{
#if (AxisLenX != 0)
object { Axis(AxisLenX, Tex_Dark, Tex_Light) rotate< 0,0,-90>}// x-Axis
text { ttf "arial.ttf", "x", 0.15, 0 texture{Tex_Dark}
scale 0.5 translate <AxisLenX+0.15,0.2,-0.05>}
text { ttf "arial.ttf", "1", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <1.05,-0.35,-0.02>}
text { ttf "arial.ttf", "5", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <5.05,-0.4,-0.02>}
text { ttf "arial.ttf", "-5", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <-5.20,-0.35,-0.02>}
#end // of #if
#if (AxisLenY != 0)
object { Axis(AxisLenY, Tex_Dark, Tex_Light) rotate< 0,0, 0>}// y-Axis
text { ttf "arial.ttf", "y", 0.15, 0 texture{Tex_Dark}
scale 0.5 translate <-0.35,AxisLenY+0.15,-0.05>}
text { ttf "arial.ttf", "1", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <-0.25,0.7,-0.02>}
text { ttf "arial.ttf", "5", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <-0.35,4.7,-0.02>}
text { ttf "arial.ttf", "-5", 0.15, 0 texture{Tex_Dark}
scale <0.6,0.35,0.6> translate <-0.65,-5.3,-0.02>}
#end // of #if
} // end of union
#end// of macro "AxisXY( ... )"
//-------------------------------------------------------------------------
#declare Texture_A_Dark = texture {
pigment{color rgb<1,0.5,0>}
finish {ambient 0.1 diffuse 0.6 phong 1}
}
#declare Texture_A_Light = texture {
pigment{color rgb<1,0.55,0.3>}
finish {ambient 0.1 diffuse 0.6 phong 1}
}
object{ AxisXY( 5.0, 5.0, Texture_A_Dark, Texture_A_Light)}
//-------------------------------------------------- end of coordinate axes
// ground -----------------------------------------------------------------
//---------------------------------<<< settings of squared plane dimensions
#declare RasterScale = 0.5;
#declare RasterHalfLine = 0.05;
#declare RasterHalfLineY = 0.05;
//-------------------------------------------------------------------------
#macro Raster(RScale, HLine)
pigment{ gradient x scale RScale
color_map{[0.000 color rgbt<1,1,1,0>*0.9]
[0+HLine color rgbt<1,1,1,0>*0.9]
[0+HLine color rgbt<1,1,1,1>]
[1-HLine color rgbt<1,1,1,1>]
[1-HLine color rgbt<1,1,1,0>*0.9]
[1.000 color rgbt<1,1,1,0>*0.9]} }
finish { ambient 0.15 diffuse 0.85}
#end// of Raster(RScale, HLine)-macro
//-------------------------------------------------------------------------
plane { <0,1,0>, 0 // plane with layered textures
texture { pigment{color White*1.1}
finish {ambient 0.45 diffuse 0.85}}
texture { Raster(RasterScale,RasterHalfLine ) rotate<0,0,0> }
texture { Raster(RasterScale,RasterHalfLineY) rotate<0,90,0>}
rotate<-90,0,0>
}
//------------------------------------------------ end of squared plane XY
//--------------------------------------------------------------------------
//--------------------------- scenery objects ---------------------------
//--------------------------------------------------------------------------
//------------------------------------------------------------------------
// Choose image_size by
// adding to the commandline:
// ( 2nd white field on top
// of the POV-Ray editor! )
//
// +w700 +h700
//
//------------------------------------------------------------------------
#default{ finish {ambient 0.15 diffuse 0.85} } //
//
//
union{
#declare X = -5.5; // start X attention: x != X use capital letter X
#declare EndX = 5.5; // end X
#while ( X < EndX )
// Drawing of the "points"< X / f(X) >:
// Zeichnen der "Punkte" ( X / f(X) ):
// Color - Farbe //< X, f(X) ,0>}
sphere{ <0,0,0>,0.045 pigment{ color rgb<1,0.65,0> } translate< X, 1/32*X*X*X*X -3/4*X*X +9/2 ,0>}
sphere{ <0,0,0>,0.045 pigment{ color rgb<0.5,1,0> } translate< X, 1/8*X*X*X -3/2*X ,0>}
sphere{ <0,0,0>,0.045 pigment{ color rgb<0.1,0.7,0>} translate< X, 3/8*X*X -3/2 ,0>}
// next step:
#declare X = X + 0.005; // next Nr <<<- increase this value, if you have not enough RAM
// or if your computer is too slow!
#end // --------------- end of loop
} // end of union
sphere { <0,0,0>, 0.08
texture { pigment{ color Red } // rgb< 1, 0.0, 0.0>}
finish { ambient 0.1 diffuse 0.85 phong 1}
} // end of texture
scale<1,1,1> rotate<0,0,0> translate<2,2,-0.05>
} // end of sphere -----------------------------------
sphere { <0,0,0>, 0.08
texture { pigment{ color Red } // rgb< 1, 0.0, 0.0>}
finish { ambient 0.1 diffuse 0.85 phong 1}
} // end of texture
scale<1,1,1> rotate<0,0,0> translate<-2,2,-0.05>
} // end of sphere -----------------------------------
text { ttf "arial.ttf", "f(x)= 1/32 *x^4 - 3/4*x^2 -9/2" , 0.1, 0.0 // thickness, offset
texture{ pigment{color rgb<1,1,1>*0.15}
finish{ambient 0.15 diffuse 0.85 }
} // end of texture
scale<1,1.5,1>*0.4
translate<0.1,-4.95,-0.01>
} // end of text object ---------------------------------------------
//------------------------------------------------------------------------------------ end
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