How to look up sine of different frequencies from a fixed sized lookup table?

Question

I am sampling a sine wave at 48 kHz, the frequency range of my sine wave can vary from 0 to 20000 Hz with a step of about 100 Hz. I am using a lookup table approach. So I genera

Answer 1

Very good answer, this is classic software DDS. Facing the same problem these days. There is no need to use floats

        UInt16 f = 400; // Hz, up to 16384 :)
        UInt16 delta = (UInt16)(((UInt32)f * LUT_SIZE ) / fmt_SamplesPerSec);
        UInt16 phase = 0;

        for (int i = 0; i < BUFF_SIZE; ++i)
        {
            buff[i] = LUT[phase];
            phase += delta;
            phase &= LUT_SIZE-1;
        }

Let phase wraparound LUT size as mask. And don't care about using quadrants since for my purpose I have a huge MIPS for this requirements already.