Noise generation at an arbitrary position for terrain

GenerateNoise.cpp

void GenerateNoise(int width, int height, float scale, int octaves, int positionX, int positionY)
{
    for (int y = positionY; y < positionY + height; y++)
    {
        for (int x = positionX; x < positionX + width; x++)
        {
            float sampleX = (float)x / width * scale;
            float sampleY = (float)y / height * scale;

            float noise = 0.0f;
            float frequency = 0.0f;
            for (int oct = 1; oct < octaves; oct *= 2)
            {
                frequency += 1.0f / oct;
                noise += (1.0f / oct) * perlin.noise2D_01(oct * sampleX /*+ randomInt*/, oct * sampleY /*+ randomInt*/);
            }

            noise = noise / frequency;

            //do something based on noise
        }
    }
}