div.h

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/*
 * Copyright (C) 2015 Kaspar Schleiser <kaspar@schleiser.de>
 * Copyright (C) 2016 Eistec AB
 *
 * This file is subject to the terms and conditions of the GNU Lesser
 * General Public License v2.1. See the file LICENSE in the top level
 * directory for more details.
 */
 
#pragma once
 
#include <assert.h>
#include <stdint.h>
 
#ifdef __cplusplus
extern "C" {
#endif
 
#define DIV_H_INV_15625_32    0x431bde83ul
 
#define DIV_H_INV_15625_64    0x431bde82d7b634dbull
 
#define DIV_H_INV_15625_SHIFT 12
 
uint64_t _div_mulhi64(const uint64_t a, const uint64_t b);
 
static inline uint64_t div_u64_by_15625(uint64_t val)
{
    if (val > 16383999997ull) {
        return (_div_mulhi64(DIV_H_INV_15625_64, val) >> DIV_H_INV_15625_SHIFT);
    }
    return (val * DIV_H_INV_15625_32) >> (DIV_H_INV_15625_SHIFT + 32);
}
 
static inline uint32_t div_u64_by_125(uint64_t val)
{
  /* a higher value would overflow the result type */
  assert(val <= 536870911999LLU);
 
  uint32_t hi = val >> 32;
  uint32_t lo = val;
  uint32_t r = (lo >> 16) + (hi << 16);
  uint32_t res = r / 125;
  r = ((r % 125) << 16) + (lo & 0xFFFF);
  res = (res << 16) + r / 125;
  return res;
}
 
static inline uint64_t div_u64_by_1000000(uint64_t val)
{
    return div_u64_by_15625(val) >> 6;
}
 
static inline uint32_t div_u32_by_15625div512(uint32_t val)
{
    return ((uint64_t)(val) * DIV_H_INV_15625_32) >> (DIV_H_INV_15625_SHIFT + 32 - 9);
}
 
static inline uint64_t div_u64_by_15625div512(uint64_t val)
{
    /*
     * This saves around 1400 bytes of ROM on Cortex-M platforms (both ARMv6 and
     * ARMv7) from avoiding linking against __aeabi_uldivmod and related helpers
     */
    if (val > 16383999997ull) {
        /* this would overflow 2^64 in the multiplication that follows, need to
         * use the long version */
        return (_div_mulhi64(DIV_H_INV_15625_64, val) >> (DIV_H_INV_15625_SHIFT - 9));
    }
    return (val * DIV_H_INV_15625_32) >> (DIV_H_INV_15625_SHIFT + 32 - 9);
}
 
static inline uint32_t div_u32_by_44488(uint32_t val)
{
    return ((uint64_t)val * 0xBC8F1391UL) >> (15 + 32);
}
 
static inline uint32_t div_u32_mod_44488(uint32_t val)
{
    return val - (div_u32_by_44488(val)*44488);
}
 
#ifdef __cplusplus
}
#endif