#include "colors.inc"  
#include "golds.inc" 
#include "metals.inc" 
#include "woods.inc"  
#include "transforms.inc"  
#include "shapes.inc" 
#include "math.inc"
#include "glass.inc"
#include "stones.inc" 
#include "textures.inc" 


// isosurfaces are "math graphs in 3D" 
#declare iso1 =
isosurface 
{
    function { sqrt(x*x*x - y*y - z) }   // try various math "equations" or functions
    
    // since isosufaces are like planes (go on forever), 
    //they must be "contained" by another invisible shape
    contained_by { box {<-1,-1,-1>, <1,1,1>}  }
    
    pigment {color White}

}

object { iso1 translate <-1,0,0>}

object 
{
      iso1
      pigment {Red}


      // this "multiplies" every point in the box by a matrix (i.e. full control over transformations)
      // this one will "shear" the box

      matrix < 1, 1, 0,   // this is the "x" row so any "new x" becomes 1*"old x" + 1*"old y" + 0* "old z"
               0, 1, 0,   // this is the "y" row so any "new y" becomes 0*"old x" + 1*"old y" + 0* "old z"
               0, 0, 1,   // this is the "z" row so any "new z" becomes 0*"old x" + 0*"old y" + 1* "old z"
               0, 0, 0 >  // bottom row shifts by 0 on x, 0 on y,0 on z
            
   
       /* try one or more of the following
       // no transformation
       matrix < 1, 0, 0,
                0, 1, 0,
                0, 0, 1,
                0, 0, 0 >

   
       // stretch twice as high (y) and deep(z)
       matrix < 1, 0, 0,
                0, 2, 0,
                0, 0, 2,
                0, 0, 0 >
       */      
       translate <2,0,0>
}

// the rest of this is from previous assignments

light_source { <0,2,-5>   color rgb <1,1,1> }
light_source { <1,4,0>    color rgb <1,1,1> }
light_source { <-1,4,2>   color rgb <1,1,1> }

camera 
{
  location  <1.0, 3.0, -5.0>
  look_at   <0.0, 0.0,  0.0>
}

cylinder{<10, 0, 0>, <-10, 0, 0>, 0.1 pigment {color rgbf <1,0,0,.7> } }
cylinder{<0, 10, 0>, <0, -10, 0>, 0.1 pigment {color  rgbf <0,0,1,.7>} }
cylinder{<0, 0,10>, <0, 0, -10>, 0.1 pigment {color  rgbf <0,1,0,.7>} }

plane{y, -3 pigment{ Silver }}