Distorted Android

uniform float u_Depth;               // max absolute value of v.z ; beyond that the vertex would be culled by the near or far planes.

                                     // I read OpenGL ES has a built-in uniform variable gl_DepthRange.near = n,

                                     // .far = f, .diff = f-n so maybe u_Depth is redundant

                                     // Update: this struct is only available in fragment shaders

//////////////////////////////////////////////////////////////////////////////////////////////

// Clamp v.z to (-u_Depth,u_Depth) with the following function:

// define h to be, say, 0.7; let H=u_Depth

//      if v.z < -hH then v.z = (-(1-h)^2 * H^2)/(v.z+(2h-1)H) -H   (function satisfying f(-hH)=-hH, f'(-hH)=1, lim f(x) = -H)

// else if v.z >  hH then v.z = (-(1-h)^2 * H^2)/(v.z-(2h-1)H) +H   (function satisfying f(+hH)=+hH, f'(+hH)=1, lim f(x) = +H)

// else v.z = v.z

void restrictZ(inout float v)

  {

  const float h = 0.7;

  float signV = 2.0*max(0.0,sign(v))-1.0;

  float c = ((1.0-h)*(h-1.0)*u_Depth*u_Depth)/(v-signV*(2.0*h-1.0)*u_Depth) +signV*u_Depth;

  float b = max(0.0,sign(abs(v)-h*u_Depth));

  v = b*c+(1.0-b)*v; // Avoid branching: if abs(v)>h*u_Depth, then v=c; otherwise v=v.

  }

  restrictZ(v.z);