I'm writing a biquad filter program in C++, using the LBJ Cookbook as the source for the formulas. https://webaudio.github.io/Audio-EQ-Cookbook/audio-eq-cookbook.html The lowpass filter that I've made seems to half work. The frequencies above the cutoff are being attenuated, however, it is causing aliasing similar to what happens with frequencies above Nyquist's limit.

double output, a0, a1, a2, b0, b1, b2, w, alpha; 
double pi = 3.14159265359;
w = (2 * pi) * (cutoff / sampleRate);
alpha = (sin(w)) / 2 * q;
a0 = 1 + alpha;
a1 = -2 * cos(w);
a2 = 1 - alpha;
b0 = (1 - cos(w)) / 2;
b1 = 1 - cos(w);
b2 = (1 - cos(w)) / 2;

output = (b0 / a0) * inSamples[0] + (b1 / a0) * inSamples[1] + (b2 / a0) * inSamples[2]
  - (a1 / a0) * outSamples[0] - (a2 / a0) * outSamples[1];

I'm not sure where my error is, so any help is greatly appreciated!

I'm writing a biquad filter program in C++, using the RBJ Cookbook as the source for the formulas. https://www.w3.org/TR/audio-eq-cookbook/ The lowpass filter that I've made seems to half work. The frequencies above the cutoff are being attenuated, however, it is causing aliasing similar to what happens with frequencies above Nyquist's limit.

double output, a0, a1, a2, b0, b1, b2, w, alpha; 
double pi = 3.14159265359;
w = (2 * pi) * (cutoff / sampleRate);
alpha = (sin(w)) / 2 * q;
a0 = 1 + alpha;
a1 = -2 * cos(w);
a2 = 1 - alpha;
b0 = (1 - cos(w)) / 2;
b1 = 1 - cos(w);
b2 = (1 - cos(w)) / 2;

output = (b0 / a0) * inSamples[0] + (b1 / a0) * inSamples[1] + (b2 / a0) * inSamples[2]
  - (a1 / a0) * outSamples[0] - (a2 / a0) * outSamples[1];

I'm not sure where my error is, so any help is greatly appreciated!