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vdc_sampling.py

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+from functools import partial
+
+import matplotlib.pyplot as plt
+import numpy as np
+
+
+def van_der_corput(n, base=2):
+    """Generate the n-th value in the Van der Corput sequence."""
+    vdc, denom = 0, 1
+    while n:
+        denom *= base
+        n, remainder = divmod(n, base)
+        vdc += remainder / denom
+    return vdc
+
+
+def van_der_corput_sampling_gen(vdc_values):
+    """Generator function for sampling indices based on weights using the Van der Corput sequence."""
+
+    def gen(weights, vdc_value):
+        cdf = np.cumsum(weights)
+        sample = np.searchsorted(cdf, vdc_value)
+        return sample
+
+    sample_index = 0
+    # Pre-generate Van der Corput sequence
+    max_samples = 100000  # or any number that you find suitable
+
+    while True:
+        # Generate the next value in the Van der Corput sequence
+        vdc_value = vdc_values[sample_index % max_samples]
+        # Generate a sample index based on the Van der Corput value and the CDF
+        yield partial(gen, vdc_value=vdc_value)
+        sample_index += 1