POV-Ray : Newsgroups : povray.beta-test : clamp math.inc : clamp math.inc Server Time
29 Nov 2021 21:17:07 EST (-0500)
  clamp math.inc  
From: ingo
Date: 7 Jan 2019 14:39:21
Message: <XnsA9D0D21FAF552seed7@news.povray.org>
In math.inc it says :
"Clamps a number (x) to the range [Min, Max] ([y, z]).
Values outside this range wrap around."

That last bit is a problem imo. It should not wrap around. As an example 
of why it should not wrap an implementation of the Smoothstep function. 
Render the scene as is and then with the ifdef section uncommented.

I would rename the existing function to clamp_wrap and add the one below 
as clamp as that is what one would expect.

ingo

---%<------%<------%<---
#version 3.8;
#include "math.inc"
// +a0.1 +w400 +h400
global_settings {assumed_gamma 1.0} 
#default{ finish{ ambient 0.1 diffuse 0.9 }} 

camera {
  orthographic
  location <0.5,0.5,-.1>
  look_at <0.5,0.5,0>
  right x*image_width/image_height
}

/*
#ifdef (clamp)
  #undef clamp
#end
#declare clamp = function(x,y,z){select((x<=y),-1,select((x>=z),-
1,x,z),y)};
*/

#declare Smoothstep = function(x,y,z){ 
  (3*pow(clamp((x - y) / (z - y), 0.0, 1.0),2))-
  (2*pow(clamp((x - y) / (z - y), 0.0, 1.0),3))
}

#for (I,0,1,0.001)
  sphere{<I, Smoothstep(I,0.2,0.8), 0>,0.01 pigment{rgb x}}
#end
 
box {
  <0, 0, 0>, <1, 1, 1>
  texture {
    pigment {
      function{Smoothstep(x,0.2,0.8)}
    }
    finish {
      ambient 1.0
      diffuse 0.0
    }
  }
}


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