math.h

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/**
 * Marlin 3D Printer Firmware
 * Copyright (c) 2019 MarlinFirmware [https://github.com/MarlinFirmware/Marlin]
 *
 * Based on Sprinter and grbl.
 * Copyright (c) 2011 Camiel Gubbels / Erik van der Zalm
 *
 * This program is free software: you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation, either version 3 of the License, or
 * (at your option) any later version.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 */
#pragma once
 
/**
 * Optimized math functions for AVR
 */
 
// intRes = longIn1 * longIn2 >> 24
// uses:
// A[tmp] to store 0
// B[tmp] to store bits 16-23 of the 48bit result. The top bit is used to round the two byte result.
// note that the lower two bytes and the upper byte of the 48bit result are not calculated.
// this can cause the result to be out by one as the lower bytes may cause carries into the upper ones.
// B A are bits 24-39 and are the returned value
// C B A is longIn1
// D C B A is longIn2
//
static FORCE_INLINE uint16_t MultiU24X32toH16(uint32_t longIn1, uint32_t longIn2) {
  uint8_t tmp1;
  uint8_t tmp2;
  uint16_t intRes;
  __asm__ __volatile__(
    A("clr %[tmp1]")
    A("mul %A[longIn1], %B[longIn2]")
    A("mov %[tmp2], r1")
    A("mul %B[longIn1], %C[longIn2]")
    A("movw %A[intRes], r0")
    A("mul %C[longIn1], %C[longIn2]")
    A("add %B[intRes], r0")
    A("mul %C[longIn1], %B[longIn2]")
    A("add %A[intRes], r0")
    A("adc %B[intRes], r1")
    A("mul %A[longIn1], %C[longIn2]")
    A("add %[tmp2], r0")
    A("adc %A[intRes], r1")
    A("adc %B[intRes], %[tmp1]")
    A("mul %B[longIn1], %B[longIn2]")
    A("add %[tmp2], r0")
    A("adc %A[intRes], r1")
    A("adc %B[intRes], %[tmp1]")
    A("mul %C[longIn1], %A[longIn2]")
    A("add %[tmp2], r0")
    A("adc %A[intRes], r1")
    A("adc %B[intRes], %[tmp1]")
    A("mul %B[longIn1], %A[longIn2]")
    A("add %[tmp2], r1")
    A("adc %A[intRes], %[tmp1]")
    A("adc %B[intRes], %[tmp1]")
    A("lsr %[tmp2]")
    A("adc %A[intRes], %[tmp1]")
    A("adc %B[intRes], %[tmp1]")
    A("mul %D[longIn2], %A[longIn1]")
    A("add %A[intRes], r0")
    A("adc %B[intRes], r1")
    A("mul %D[longIn2], %B[longIn1]")
    A("add %B[intRes], r0")
    A("clr r1")
      : [intRes] "=&r" (intRes),
        [tmp1] "=&r" (tmp1),
        [tmp2] "=&r" (tmp2)
      : [longIn1] "d" (longIn1),
        [longIn2] "d" (longIn2)
      : "cc"
  );
  return intRes;
}
 
// intRes = intIn1 * intIn2 >> 16
// uses:
// r26 to store 0
// r27 to store the byte 1 of the 24 bit result
static FORCE_INLINE uint16_t MultiU16X8toH16(uint8_t charIn1, uint16_t intIn2) {
  uint8_t tmp;
  uint16_t intRes;
  __asm__ __volatile__ (
    A("clr %[tmp]")
    A("mul %[charIn1], %B[intIn2]")
    A("movw %A[intRes], r0")
    A("mul %[charIn1], %A[intIn2]")
    A("add %A[intRes], r1")
    A("adc %B[intRes], %[tmp]")
    A("lsr r0")
    A("adc %A[intRes], %[tmp]")
    A("adc %B[intRes], %[tmp]")
    A("clr r1")
      : [intRes] "=&r" (intRes),
        [tmp] "=&r" (tmp)
      : [charIn1] "d" (charIn1),
        [intIn2] "d" (intIn2)
      : "cc"
  );
  return intRes;
}