/* * Copyright (c) 2020 Raspberry Pi (Trading) Ltd. * * SPDX-License-Identifier: BSD-3-Clause */ #ifndef _HARDWARE_DIVIDER_H #define _HARDWARE_DIVIDER_H #include "pico.h" /** \file hardware/divider.h * \defgroup hardware_divider hardware_divider * * \brief RP2040 Low Low-level hardware-divider API. Non-RP2040 platforms provide software versions of all the functions * * The SIO contains an 8-cycle signed/unsigned divide/modulo circuit, per core. Calculation is started by writing a dividend * and divisor to the two argument registers, DIVIDEND and DIVISOR. The divider calculates the quotient / and remainder % of * this division over the next 8 cycles, and on the 9th cycle the results can be read from the two result registers * DIV_QUOTIENT and DIV_REMAINDER. A 'ready' bit in register DIV_CSR can be polled to wait for the calculation to * complete, or software can insert a fixed 8-cycle delay * * This header provides low level macros and inline functions for accessing the hardware dividers directly, * and perhaps most usefully performing asynchronous divides. These functions however do not follow the regular * SDK conventions for saving/restoring the divider state, so are not generally safe to call from interrupt handlers * * The pico_divider library provides a more user friendly set of APIs over the divider (and support for * 64 bit divides), and of course by default regular C language integer divisions are redirected through that library, meaning * you can just use C level `/` and `%` operators and gain the benefits of the fast hardware divider. * * \if rp2350_specific * On RP2350 there is no hardware divider, and the functions are implemented in software * \endif * * @see pico_divider * * \subsection divider_example Example * \addtogroup hardware_divider * \include hello_divider.c */ #if HAS_SIO_DIVIDER #include "hardware/structs/sio.h" #else #define PICO_EMULATE_DIVIDER 1 #endif #ifdef __cplusplus extern "C" { #endif typedef uint64_t divmod_result_t; #if PICO_EMULATE_DIVIDER extern divmod_result_t hw_divider_results[NUM_CORES]; static inline int __sign_of(int32_t v) { return v > 0 ? 1 : (v < 0 ? -1 : 0); } #endif /*! \brief Do a signed HW divide and wait for result * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return result as a pair of 32-bit quotient/remainder values. * * \param a The dividend * \param b The divisor * \return Results of divide as a pair of 32-bit quotient/remainder values. */ #if !PICO_EMULATE_DIVIDER divmod_result_t hw_divider_divmod_s32(int32_t a, int32_t b); #else static inline divmod_result_t hw_divider_divmod_s32(int32_t a, int32_t b) { if (!b) return (((uint64_t)a)<<32u) | (uint32_t)(-__sign_of(a)); return (((uint64_t)(a%b))<<32u) | (uint32_t)(a/b); } #endif /*! \brief Do an unsigned HW divide and wait for result * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return result as a pair of 32-bit quotient/remainder values. * * \param a The dividend * \param b The divisor * \return Results of divide as a pair of 32-bit quotient/remainder values. */ #if !PICO_EMULATE_DIVIDER divmod_result_t hw_divider_divmod_u32(uint32_t a, uint32_t b); #else static inline divmod_result_t hw_divider_divmod_u32(uint32_t a, uint32_t b) { if (!b) return (((uint64_t)a)<<32u) | (uint32_t)(-1); // todo check this return (((uint64_t)(a%b))<<32u) | (a/b); } #endif /*! \brief Start a signed asynchronous divide * \ingroup hardware_divider * * Start a divide of the specified signed parameters. You should wait for 8 cycles (__div_pause()) or wait for the ready bit to be set * (hw_divider_wait_ready()) prior to reading the results. * * \param a The dividend * \param b The divisor */ static inline void hw_divider_divmod_s32_start(int32_t a, int32_t b) { #if !PICO_EMULATE_DIVIDER check_hw_layout( sio_hw_t, div_sdividend, SIO_DIV_SDIVIDEND_OFFSET); sio_hw->div_sdividend = (uint32_t)a; sio_hw->div_sdivisor = (uint32_t)b; #else hw_divider_results[get_core_num()] = hw_divider_divmod_s32(a, b); #endif } /*! \brief Start an unsigned asynchronous divide * \ingroup hardware_divider * * Start a divide of the specified unsigned parameters. You should wait for 8 cycles (__div_pause()) or wait for the ready bit to be set * (hw_divider_wait_ready()) prior to reading the results. * * \param a The dividend * \param b The divisor */ static inline void hw_divider_divmod_u32_start(uint32_t a, uint32_t b) { #if !PICO_EMULATE_DIVIDER check_hw_layout( sio_hw_t, div_udividend, SIO_DIV_UDIVIDEND_OFFSET); sio_hw->div_udividend = a; sio_hw->div_udivisor = b; #else hw_divider_results[get_core_num()] = hw_divider_divmod_u32(a, b); #endif } /*! \brief Wait for a divide to complete * \ingroup hardware_divider * * Wait for a divide to complete */ static inline void hw_divider_wait_ready(void) { #if !PICO_EMULATE_DIVIDER // this is #1 in lsr below static_assert(SIO_DIV_CSR_READY_BITS == 1, ""); // we use one less register and instruction than gcc which uses a TST instruction uint32_t tmp; // allow compiler to pick scratch register pico_default_asm_volatile ( "hw_divider_result_loop_%=:" "ldr %0, [%1, %2]\n\t" "lsrs %0, %0, #1\n\t" "bcc hw_divider_result_loop_%=\n\t" : "=&l" (tmp) : "l" (sio_hw), "I" (SIO_DIV_CSR_OFFSET) : "cc" ); #endif } /*! \brief Return result of HW divide, nowait * \ingroup hardware_divider * * \note This is UNSAFE in that the calculation may not have been completed. * * \return Current result. Most significant 32 bits are the remainder, lower 32 bits are the quotient. */ static inline divmod_result_t hw_divider_result_nowait(void) { #if !PICO_EMULATE_DIVIDER // as ugly as this looks it is actually quite efficient divmod_result_t rc = ((divmod_result_t) sio_hw->div_remainder) << 32u; rc |= sio_hw->div_quotient; return rc; #else return hw_divider_results[get_core_num()]; #endif } /*! \brief Return result of last asynchronous HW divide * \ingroup hardware_divider * * This function waits for the result to be ready by calling hw_divider_wait_ready(). * * \return Current result. Most significant 32 bits are the remainder, lower 32 bits are the quotient. */ static inline divmod_result_t hw_divider_result_wait(void) { hw_divider_wait_ready(); return hw_divider_result_nowait(); } /*! \brief Efficient extraction of unsigned quotient from 32p32 fixed point * \ingroup hardware_divider * * \param r A pair of 32-bit quotient/remainder values. * \return Unsigned quotient */ inline static uint32_t to_quotient_u32(divmod_result_t r) { return (uint32_t) r; } /*! \brief Efficient extraction of signed quotient from 32p32 fixed point * \ingroup hardware_divider * * \param r A pair of 32-bit quotient/remainder values. * \return Unsigned quotient */ inline static int32_t to_quotient_s32(divmod_result_t r) { return (int32_t)(uint32_t)r; } /*! \brief Efficient extraction of unsigned remainder from 32p32 fixed point * \ingroup hardware_divider * * \param r A pair of 32-bit quotient/remainder values. * \return Unsigned remainder * * \note On Arm this is just a 32 bit register move or a nop */ inline static uint32_t to_remainder_u32(divmod_result_t r) { return (uint32_t)(r >> 32u); } /*! \brief Efficient extraction of signed remainder from 32p32 fixed point * \ingroup hardware_divider * * \param r A pair of 32-bit quotient/remainder values. * \return Signed remainder * * \note On arm this is just a 32 bit register move or a nop */ inline static int32_t to_remainder_s32(divmod_result_t r) { return (int32_t)(r >> 32u); } /*! \brief Return result of last asynchronous HW divide, unsigned quotient only * \ingroup hardware_divider * * This function waits for the result to be ready by calling hw_divider_wait_ready(). * * \return Current unsigned quotient result. */ static inline uint32_t hw_divider_u32_quotient_wait(void) { #if !PICO_EMULATE_DIVIDER hw_divider_wait_ready(); return sio_hw->div_quotient; #else return to_quotient_u32(hw_divider_result_wait()); #endif } /*! \brief Return result of last asynchronous HW divide, signed quotient only * \ingroup hardware_divider * * This function waits for the result to be ready by calling hw_divider_wait_ready(). * * \return Current signed quotient result. */ static inline int32_t hw_divider_s32_quotient_wait(void) { #if !PICO_EMULATE_DIVIDER hw_divider_wait_ready(); return (int32_t)sio_hw->div_quotient; #else return to_quotient_s32(hw_divider_result_wait()); #endif } /*! \brief Return result of last asynchronous HW divide, unsigned remainder only * \ingroup hardware_divider * * This function waits for the result to be ready by calling hw_divider_wait_ready(). * * \return Current unsigned remainder result. */ static inline uint32_t hw_divider_u32_remainder_wait(void) { #if !PICO_EMULATE_DIVIDER hw_divider_wait_ready(); uint32_t rc = sio_hw->div_remainder; sio_hw->div_quotient; // must read quotient to cooperate with other SDK code return rc; #else return to_remainder_u32(hw_divider_result_wait()); #endif } /*! \brief Return result of last asynchronous HW divide, signed remainder only * \ingroup hardware_divider * * This function waits for the result to be ready by calling hw_divider_wait_ready(). * * \return Current remainder results. */ static inline int32_t hw_divider_s32_remainder_wait(void) { #if !PICO_EMULATE_DIVIDER hw_divider_wait_ready(); int32_t rc = (int32_t)sio_hw->div_remainder; sio_hw->div_quotient; // must read quotient to cooperate with other SDK code return rc; #else return to_remainder_s32(hw_divider_result_wait()); #endif } /*! \brief Do an unsigned HW divide, wait for result, return quotient * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return quotient. * * \param a The dividend * \param b The divisor * \return Quotient results of the divide */ static inline uint32_t hw_divider_u32_quotient(uint32_t a, uint32_t b) { #if !PICO_EMULATE_DIVIDER return to_quotient_u32(hw_divider_divmod_u32(a, b)); #else return b ? (a / b) : (uint32_t)(-1); #endif } /*! \brief Do an unsigned HW divide, wait for result, return remainder * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return remainder. * * \param a The dividend * \param b The divisor * \return Remainder results of the divide */ static inline uint32_t hw_divider_u32_remainder(uint32_t a, uint32_t b) { #if !PICO_EMULATE_DIVIDER return to_remainder_u32(hw_divider_divmod_u32(a, b)); #else return b ? (a % b) : a; #endif } /*! \brief Do a signed HW divide, wait for result, return quotient * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return quotient. * * \param a The dividend * \param b The divisor * \return Quotient results of the divide */ static inline int32_t hw_divider_quotient_s32(int32_t a, int32_t b) { #if !PICO_EMULATE_DIVIDER return to_quotient_s32(hw_divider_divmod_s32(a, b)); #else return b ? (a / b) : -1; #endif } /*! \brief Do a signed HW divide, wait for result, return remainder * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return remainder. * * \param a The dividend * \param b The divisor * \return Remainder results of the divide */ static inline int32_t hw_divider_remainder_s32(int32_t a, int32_t b) { #if !PICO_EMULATE_DIVIDER return to_remainder_s32(hw_divider_divmod_s32(a, b)); #else return b ? (a % b) : a; #endif } /*! \brief Pause for exact amount of time needed for a asynchronous divide to complete * \ingroup hardware_divider */ static inline void hw_divider_pause(void) { #if !PICO_EMULATE_DIVIDER pico_default_asm_volatile( "b _1_%=\n" "_1_%=:\n" "b _2_%=\n" "_2_%=:\n" "b _3_%=\n" "_3_%=:\n" "b _4_%=\n" "_4_%=:\n" :::); #endif } /*! \brief Do a hardware unsigned HW divide, wait for result, return quotient * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return quotient. * * \param a The dividend * \param b The divisor * \return Quotient result of the divide */ static inline uint32_t hw_divider_u32_quotient_inlined(uint32_t a, uint32_t b) { #if !PICO_EMULATE_DIVIDER hw_divider_divmod_u32_start(a, b); hw_divider_pause(); return sio_hw->div_quotient; #else return hw_divider_u32_quotient(a,b); #endif } /*! \brief Do a hardware unsigned HW divide, wait for result, return remainder * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return remainder. * * \param a The dividend * \param b The divisor * \return Remainder result of the divide */ static inline uint32_t hw_divider_u32_remainder_inlined(uint32_t a, uint32_t b) { #if !PICO_EMULATE_DIVIDER hw_divider_divmod_u32_start(a, b); hw_divider_pause(); uint32_t rc = sio_hw->div_remainder; sio_hw->div_quotient; // must read quotient to cooperate with other SDK code return rc; #else return hw_divider_u32_remainder(a,b); #endif } /*! \brief Do a hardware signed HW divide, wait for result, return quotient * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return quotient. * * \param a The dividend * \param b The divisor * \return Quotient result of the divide */ static inline int32_t hw_divider_s32_quotient_inlined(int32_t a, int32_t b) { #if !PICO_EMULATE_DIVIDER hw_divider_divmod_s32_start(a, b); hw_divider_pause(); return (int32_t)sio_hw->div_quotient; #else return hw_divider_quotient_s32(a,b); #endif } /*! \brief Do a hardware signed HW divide, wait for result, return remainder * \ingroup hardware_divider * * Divide \p a by \p b, wait for calculation to complete, return remainder. * * \param a The dividend * \param b The divisor * \return Remainder result of the divide */ static inline int32_t hw_divider_s32_remainder_inlined(int32_t a, int32_t b) { #if !PICO_EMULATE_DIVIDER hw_divider_divmod_s32_start(a, b); hw_divider_pause(); int32_t rc = (int32_t)sio_hw->div_remainder; sio_hw->div_quotient; // must read quotient to cooperate with other SDK code return rc; #else return hw_divider_remainder_s32(a,b); #endif } #if !PICO_EMULATE_DIVIDER typedef struct { uint32_t values[4]; } hw_divider_state_t; #else typedef uint64_t hw_divider_state_t; #endif /*! \brief Save the calling cores hardware divider state * \ingroup hardware_divider * * Copy the current core's hardware divider state into the provided structure. This method * waits for the divider results to be stable, then copies them to memory. * They can be restored via hw_divider_restore_state() * * \param dest the location to store the divider state */ #if !PICO_EMULATE_DIVIDER void hw_divider_save_state(hw_divider_state_t *dest); #else static inline void hw_divider_save_state(hw_divider_state_t *dest) { *dest = hw_divider_results[get_core_num()]; } #endif /*! \brief Load a saved hardware divider state into the current core's hardware divider * \ingroup hardware_divider * * Copy the passed hardware divider state into the hardware divider. * * \param src the location to load the divider state from */ #if !PICO_EMULATE_DIVIDER void hw_divider_restore_state(hw_divider_state_t *src); #else static inline void hw_divider_restore_state(hw_divider_state_t *src) { hw_divider_results[get_core_num()] = *src; } #endif #ifdef __cplusplus } #endif #endif // _HARDWARE_DIVIDER_H