| import numpy as np | |
| def reference(master, exp_avg, exp_avg_sq, grad, out_bf16, hp): | |
| h = hp[0].astype(np.float64) | |
| g = grad.astype(np.float64) | |
| m = h[0] * exp_avg + h[1] * g | |
| v = h[2] * exp_avg_sq + (h[3] * g) ** 2 | |
| p = (master + h[6] * m / (np.sqrt(v * h[4]) + h[5])) * h[7] | |
| return p, m, v, p | |