Re: How many float values in range 0f - 1f inclusive?

Patricia Shanahan wrote:
> Jeff Higgins wrote:
>> How many float values can be represented
>> in the range of 0f through 1f inclusive?
>>
>
> Each bit pattern in the range Float.floatToIntBits(0f) through
> Float.floatToIntBits(1f) corresponds to a float value in the specified
> range.

Well, anyone reading this thread is already convinced of my
mathematical naivety, so continuing without embarrassment ...

Can I say that there are 0x007fffff float values that can be
represented in the range?

Can I say that 1f/0x007fffff is the first float value that can
be represented in this range, and that 2f * 1f/0x007fffff will
be the second?

This all came about because I am using a JSlider control to pick
values for an java.awt.Color, where the arguments to the Color
constructor are values between 0f - 1f.  Because JSlider only
operates with integer values I was using a range of 0 - 10000
and then multiplying by .0001 to get my float value.  I was trying
to find a better range of integers to use for my JSlider range
so that when I display the value I've picked with the slider
I don't get ugly .50168 or some such for .5.  I guess I'll probably
be better off dealing with that on the display end using printf or
decimalFormat or such.

Thanks for the info.
JH


> Patricia