Strange floating point arithmetics in WebGL fragment shader

I'm writing a simple WebGL program. I'm stuck with a strange behavior in a shader program:

condition ( 1.01 * 2.0 > 1.0 ) evaluates to true but condition ( 0.99 * 2.0 > 1.0 ) evaluates to flase

Every time I multiply a number lesser than 1.0 by something else I get a number lesser than 1.0

Why is it so?

[EDIT]

I'm using a fragment shader to change 16bit unsigned integer data to 8bit bitmap using window level and window hight ( linear ramp ) and display on screen. Since there are no direct way of storing 16bit data as an internal format in WebGL (AFAIK) I decided to create Uint8Array(width*height*3), store first byte in R channel, second in B channel and put it in gl.RGB, gl.UNSIGNED_BYTE texture (maybe LUMINESCANCE_ALPHA would be better).

In shader I reconstruct word form bytes and do the leveling. The shader program:

#ifdef GL_ES
precision highp float;
#endif

uniform highp sampler2D   s_texture;
uniform highp float       u_ww;
uniform highp float       u_wc;
varying highp vec2        v_texcoord;

void main(void)
{
     highp vec3 color = texture2D(s_texture, v_texcoord).rgb;
 highp float S = 255.;
 highp float d = 65280.;
 highp float m = 0.9;
 highp float c = color.g*d + color.r*S;

 float dp = 0.;

 float min = u_wc - u_ww/2.;
 float max = u_wc + u_ww/2.;

 if( 1.0*2.0 > 1.1 ) gl_FragData[0] = vec4(1,0,0,1);
 else{
    if( c<min )开发者_开发知识库 c=0.;
    else if( c>max ) c=255.;
    else c=(255.*(max-c))/u_ww; 

    c = c/S;
    gl_FragData[0] = vec4(c,c,c,1);
 }
}

As you can see, there is a stupid line if( 1.0*2.0 > 1.1 ) gl_FragData[0] = vec4(1,0,0,1); It's place where I test floating point arithmetic. In this example whole image is red, but when the condition is 0.999999999*2.0 > 1.1 the answer is false. I started to suspect something when I got strange artifacts in my resampled 16bit image.

I tested it on Chrome 8 and Firefox 4. I believe I don't understand something about floating point arithmetics.

---

Maybe it isn't using floats.

Try this:

float xa = 1.01; //then change to 0.99
float xb = 1.0;
float xc = 2.0;
if (xa * xb > xc)
    ...

Does that help? If so, maybe the compiler (or hardware) is converting them to int for some reason.

---

You should strip down the shader to the smallest possible case.

if( 1.0*2.0 > 1.1 ) gl_FragData[0] = vec4(1,0,0,1);
else gl_FragData[0] = vec4(1,0,1,1);

and

if( 0.999999*2.0 > 1.1 ) gl_FragData[0] = vec4(1,0,0,1);
else gl_FragData[0] = vec4(1,0,1,1);

How many 9s do you need to add to trigger the bug? Does it still happen with just 0.9?

Once you have done that, use that code to report a bug with Chrome or Firefox (they use the same GLSL parser). It's entirely possible that there is a bug in parsing constants with too many significant digits.