Pppd896engsub Convert015838 Min Exclusive -

The expression raw_counter * range produces a 128‑bit product. Shifting right by 64 bits is mathematically equivalent to dividing by 2⁶⁴ (the size of the source space). This yields a perfectly rounded‑down linear mapping, which matches the historic behavior of the original PPPD firmware.

Below is a reference implementation (C99, portable). It demonstrates the use of __uint128_t for intermediate multiplication to avoid overflow on 64‑bit platforms. pppd896engsub convert015838 min exclusive

/* pppd896engsub_convert015838.c  –  Public domain reference implementation */
#include <stdint.h>
#include <stdbool.h>
#include <errno.h>
int pppd896engsub_convert015838(
    uint64_t raw_counter,
    uint64_t min,
    uint64_t max,
    bool     min_exclusive,
    uint64_t *out_converted)
/* Validate arguments first */
    if (!out_converted)            return -EINVAL;
    if (max < min)                 return -ERANGE;
    if (min_exclusive && raw_counter == min) return -EINVAL;
/* If the raw value lies outside the source domain, clamp it */
    if (raw_counter < min) raw_counter = min;
    if (raw_counter > max) raw_counter = max;
/* When min_exclusive is true we have already rejected raw_counter == min.
       The remaining scaling can treat the lower bound as inclusive. */
/* Compute the scaling factor once:  (max-min) / (UINT64_MAX)  */
    __uint128_t range = (__uint128_t)(max - min);
    __uint128_t numerator = (__uint128_t)raw_counter * range;
    uint64_t scaled = (uint64_t)(numerator >> 64);   // division by 2^64
*out_converted = min + scaled;
    return 0;

Please provide:

Let me know, and I’ll tailor the steps precisely. The expression raw_counter * range produces a 128‑bit

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