From c07f60c383b5e90e088d4ab4dea146ff0361086f Mon Sep 17 00:00:00 2001
From: "Yuhui.Zheng" <10982575+yuhui-zheng@users.noreply.github.com>
Date: Wed, 18 Dec 2019 10:06:30 +0000
Subject: [PATCH] Adding GCC/Keil/IAR projects for NXP LPC51U68 (CM0+).
Please see readme.txt for todo items.
---
.../CORTEX_M0+_LPC51U68_LPCXpresso/.cproject | 797 +
.../CORTEX_M0+_LPC51U68_LPCXpresso/.gitignore | 13 +
.../CORTEX_M0+_LPC51U68_LPCXpresso/.project | 317 +
.../.settings/language.settings.xml | 25 +
.../CMSIS/arm_common_tables.h | 121 +
.../CMSIS/arm_const_structs.h | 66 +
.../CMSIS/arm_math.h | 7160 +
.../CMSIS/cmsis_armcc.h | 870 +
.../CMSIS/cmsis_armclang.h | 1877 +
.../CMSIS/cmsis_compiler.h | 266 +
.../CMSIS/cmsis_gcc.h | 2088 +
.../CMSIS/cmsis_iccarm.h | 913 +
.../CMSIS/cmsis_version.h | 39 +
.../CMSIS/core_cm0plus.h | 1023 +
.../CORTEX_M0+_LPC51U68_IAR.ewd | 2974 +
.../CORTEX_M0+_LPC51U68_IAR.ewp | 2467 +
.../CORTEX_M0+_LPC51U68_IAR.ewt | 2722 +
.../CORTEX_M0+_LPC51U68_IAR.eww | 7 +
.../CORTEX_M0+_LPC51U68_Keil.uvoptx | 1551 +
.../CORTEX_M0+_LPC51U68_Keil.uvprojx | 972 +
.../Debug_IAR/Obj/.ninja_deps | Bin 0 -> 16 bytes
.../Debug_IAR/Obj/.ninja_log | 54 +
.../Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR.pbd | Bin 0 -> 1552064 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR.pbd.browse | Bin 0 -> 1552064 bytes
.../Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR.pbw | 136918 +++++++++++++++
.../Obj/CORTEX_M0+_LPC51U68_IAR_part0.pbi | Bin 0 -> 847612 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part1.pbi | Bin 0 -> 773617 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part2.pbi | Bin 0 -> 772906 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part3.pbi | Bin 0 -> 855072 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part4.pbi | Bin 0 -> 378917 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part5.pbi | Bin 0 -> 855070 bytes
.../Obj/CORTEX_M0+_LPC51U68_IAR_part6.pbi | Bin 0 -> 754192 bytes
.../Debug_IAR/Obj/IntQueue.pbi | Bin 0 -> 156940 bytes
.../Debug_IAR/Obj/IntQueue.pbi.dep | 25 +
.../Debug_IAR/Obj/IntQueue.xcl | 363 +
.../Debug_IAR/Obj/IntQueueTimer.pbi | Bin 0 -> 745492 bytes
.../Debug_IAR/Obj/IntQueueTimer.pbi.dep | 40 +
.../Debug_IAR/Obj/IntQueueTimer.xcl | 363 +
.../Debug_IAR/Obj/blocktim.pbi | Bin 0 -> 135800 bytes
.../Debug_IAR/Obj/blocktim.pbi.dep | 22 +
.../Debug_IAR/Obj/blocktim.xcl | 363 +
.../Debug_IAR/Obj/board.pbi | Bin 0 -> 677172 bytes
.../Debug_IAR/Obj/board.pbi.dep | 35 +
.../Debug_IAR/Obj/board.xcl | 363 +
.../Debug_IAR/Obj/build.ninja | 71 +
.../Debug_IAR/Obj/clock_config.pbi | Bin 0 -> 660582 bytes
.../Debug_IAR/Obj/clock_config.pbi.dep | 32 +
.../Debug_IAR/Obj/clock_config.xcl | 363 +
.../Debug_IAR/Obj/countsem.pbi | Bin 0 -> 132091 bytes
.../Debug_IAR/Obj/countsem.pbi.dep | 23 +
.../Debug_IAR/Obj/countsem.xcl | 363 +
.../Debug_IAR/Obj/croutine.pbi | Bin 0 -> 106530 bytes
.../Debug_IAR/Obj/croutine.pbi.dep | 20 +
.../Debug_IAR/Obj/croutine.xcl | 363 +
.../Debug_IAR/Obj/event_groups.pbi | Bin 0 -> 148039 bytes
.../Debug_IAR/Obj/event_groups.pbi.dep | 25 +
.../Debug_IAR/Obj/event_groups.xcl | 363 +
.../Debug_IAR/Obj/fsl_assert.pbi | Bin 0 -> 663858 bytes
.../Debug_IAR/Obj/fsl_assert.pbi.dep | 32 +
.../Debug_IAR/Obj/fsl_assert.xcl | 363 +
.../Debug_IAR/Obj/fsl_clock.pbi | Bin 0 -> 710569 bytes
.../Debug_IAR/Obj/fsl_clock.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_clock.xcl | 363 +
.../Debug_IAR/Obj/fsl_common.pbi | Bin 0 -> 651568 bytes
.../Debug_IAR/Obj/fsl_common.pbi.dep | 28 +
.../Debug_IAR/Obj/fsl_common.xcl | 363 +
.../Debug_IAR/Obj/fsl_ctimer.pbi | Bin 0 -> 679474 bytes
.../Debug_IAR/Obj/fsl_ctimer.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_ctimer.xcl | 363 +
.../Debug_IAR/Obj/fsl_debug_console.pbi | Bin 0 -> 685748 bytes
.../Debug_IAR/Obj/fsl_debug_console.pbi.dep | 35 +
.../Debug_IAR/Obj/fsl_debug_console.xcl | 363 +
.../Debug_IAR/Obj/fsl_flexcomm.pbi | Bin 0 -> 659037 bytes
.../Debug_IAR/Obj/fsl_flexcomm.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_flexcomm.xcl | 363 +
.../Debug_IAR/Obj/fsl_gpio.pbi | Bin 0 -> 656189 bytes
.../Debug_IAR/Obj/fsl_gpio.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_gpio.xcl | 363 +
.../Debug_IAR/Obj/fsl_pint.pbi | Bin 0 -> 684335 bytes
.../Debug_IAR/Obj/fsl_pint.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_pint.xcl | 363 +
.../Debug_IAR/Obj/fsl_power.pbi | Bin 0 -> 655160 bytes
.../Debug_IAR/Obj/fsl_power.pbi.dep | 29 +
.../Debug_IAR/Obj/fsl_power.xcl | 363 +
.../Debug_IAR/Obj/fsl_reset.pbi | Bin 0 -> 650779 bytes
.../Debug_IAR/Obj/fsl_reset.pbi.dep | 28 +
.../Debug_IAR/Obj/fsl_reset.xcl | 363 +
.../Debug_IAR/Obj/fsl_str.pbi | Bin 0 -> 722469 bytes
.../Debug_IAR/Obj/fsl_str.pbi.dep | 34 +
.../Debug_IAR/Obj/fsl_str.xcl | 363 +
.../Debug_IAR/Obj/fsl_usart.pbi | Bin 0 -> 704617 bytes
.../Debug_IAR/Obj/fsl_usart.pbi.dep | 30 +
.../Debug_IAR/Obj/fsl_usart.xcl | 363 +
.../Debug_IAR/Obj/generic_list.pbi | Bin 0 -> 662362 bytes
.../Debug_IAR/Obj/generic_list.pbi.dep | 30 +
.../Debug_IAR/Obj/generic_list.xcl | 363 +
.../Debug_IAR/Obj/heap_5.pbi | Bin 0 -> 127465 bytes
.../Debug_IAR/Obj/heap_5.pbi.dep | 21 +
.../Debug_IAR/Obj/heap_5.xcl | 363 +
.../Debug_IAR/Obj/list.pbi | Bin 0 -> 92928 bytes
.../Debug_IAR/Obj/list.pbi.dep | 19 +
.../Debug_IAR/Obj/list.xcl | 363 +
.../Debug_IAR/Obj/main.pbi | Bin 0 -> 784551 bytes
.../Debug_IAR/Obj/main.pbi.dep | 50 +
.../Debug_IAR/Obj/main.xcl | 363 +
.../Debug_IAR/Obj/main_blinky.pbi | Bin 0 -> 124049 bytes
.../Debug_IAR/Obj/main_blinky.pbi.dep | 21 +
.../Debug_IAR/Obj/main_blinky.xcl | 363 +
.../Debug_IAR/Obj/main_full.pbi | Bin 0 -> 134683 bytes
.../Debug_IAR/Obj/main_full.pbi.dep | 26 +
.../Debug_IAR/Obj/main_full.xcl | 363 +
.../Debug_IAR/Obj/peripherals.pbi | Bin 0 -> 499 bytes
.../Debug_IAR/Obj/peripherals.pbi.dep | 3 +
.../Debug_IAR/Obj/peripherals.xcl | 363 +
.../Debug_IAR/Obj/pin_mux.pbi | Bin 0 -> 685122 bytes
.../Debug_IAR/Obj/pin_mux.pbi.dep | 30 +
.../Debug_IAR/Obj/pin_mux.xcl | 363 +
.../Debug_IAR/Obj/port.pbi | Bin 0 -> 199991 bytes
.../Debug_IAR/Obj/port.pbi.dep | 22 +
.../Debug_IAR/Obj/port.xcl | 363 +
.../Debug_IAR/Obj/queue.pbi | Bin 0 -> 198848 bytes
.../Debug_IAR/Obj/queue.pbi.dep | 24 +
.../Debug_IAR/Obj/queue.xcl | 363 +
.../Debug_IAR/Obj/recmutex.pbi | Bin 0 -> 132929 bytes
.../Debug_IAR/Obj/recmutex.pbi.dep | 23 +
.../Debug_IAR/Obj/recmutex.xcl | 363 +
.../Debug_IAR/Obj/serial_manager.pbi | Bin 0 -> 680808 bytes
.../Debug_IAR/Obj/serial_manager.pbi.dep | 32 +
.../Debug_IAR/Obj/serial_manager.xcl | 363 +
.../Debug_IAR/Obj/serial_port_uart.pbi | Bin 0 -> 674150 bytes
.../Debug_IAR/Obj/serial_port_uart.pbi.dep | 33 +
.../Debug_IAR/Obj/serial_port_uart.xcl | 363 +
.../Debug_IAR/Obj/stream_buffer.pbi | Bin 0 -> 160952 bytes
.../Debug_IAR/Obj/stream_buffer.pbi.dep | 22 +
.../Debug_IAR/Obj/stream_buffer.xcl | 363 +
.../Debug_IAR/Obj/system_LPC51U68.pbi | Bin 0 -> 568475 bytes
.../Debug_IAR/Obj/system_LPC51U68.pbi.dep | 17 +
.../Debug_IAR/Obj/system_LPC51U68.xcl | 363 +
.../Debug_IAR/Obj/tasks.pbi | Bin 0 -> 221805 bytes
.../Debug_IAR/Obj/tasks.pbi.dep | 25 +
.../Debug_IAR/Obj/tasks.xcl | 363 +
.../Debug_IAR/Obj/timers.pbi | Bin 0 -> 171532 bytes
.../Debug_IAR/Obj/timers.pbi.dep | 23 +
.../Debug_IAR/Obj/timers.xcl | 363 +
.../Debug_IAR/Obj/usart_adapter.pbi | Bin 0 -> 686977 bytes
.../Debug_IAR/Obj/usart_adapter.pbi.dep | 32 +
.../Debug_IAR/Obj/usart_adapter.xcl | 363 +
.../GCC_specific/RegTest.c | 195 +
.../GCC_specific/compiler_attributes.h | 29 +
.../GCC_specific/semihost_hardfault.c | 109 +
.../GCC_specific/startup_lpc51u68.c | 510 +
.../IAR_specific/LPC51U68_256.FLM | Bin 0 -> 12752 bytes
.../IAR_specific/LPC51U68_flash.icf | 92 +
.../IAR_specific/LPC51U68_ram.icf | 78 +
.../IAR_specific/RegTest_IAR.s | 207 +
.../IAR_specific/compiler_attributes.h | 29 +
.../IAR_specific/startup_LPC51U68.s | 385 +
.../Keil_specific/LPC51U68_256.FLM | Bin 0 -> 12752 bytes
.../Keil_specific/LPC51U68_flash.scf | 66 +
.../Keil_specific/LPC51U68_ram.scf | 60 +
.../Keil_specific/RegTest_Keil.s | 212 +
.../Keil_specific/compiler_attributes.h | 32 +
.../Keil_specific/keil_lib_power.lib | Bin 0 -> 8310 bytes
.../Keil_specific/startup_LPC51U68.s | 420 +
.../app/FreeRTOSConfig.h | 112 +
.../app/IntQueueTimer.c | 128 +
.../app/IntQueueTimer.h | 36 +
.../CORTEX_M0+_LPC51U68_LPCXpresso/app/main.c | 292 +
.../app/main_blinky.c | 199 +
.../app/main_full.c | 283 +
.../board/boards/board.c | 35 +
.../board/boards/board.h | 156 +
.../board/boards/clock_config.c | 253 +
.../board/boards/clock_config.h | 137 +
.../board/boards/peripherals.c | 23 +
.../board/boards/peripherals.h | 23 +
.../board/boards/pin_mux.c | 535 +
.../board/boards/pin_mux.h | 337 +
.../component/lists/generic_list.c | 423 +
.../component/lists/generic_list.h | 191 +
.../component/serial_manager/serial_manager.c | 1299 +
.../component/serial_manager/serial_manager.h | 548 +
.../serial_manager/serial_port_internal.h | 98 +
.../serial_manager/serial_port_uart.c | 371 +
.../serial_manager/serial_port_uart.h | 55 +
.../component/uart/uart.h | 475 +
.../component/uart/usart_adapter.c | 629 +
.../device/LPC51U68.h | 8088 +
.../device/LPC51U68_features.h | 236 +
.../device/fsl_device_registers.h | 34 +
.../device/system_LPC51U68.c | 343 +
.../device/system_LPC51U68.h | 97 +
.../drivers/fsl_clock.c | 1672 +
.../drivers/fsl_clock.h | 850 +
.../drivers/fsl_common.c | 147 +
.../drivers/fsl_common.h | 597 +
.../drivers/fsl_ctimer.c | 544 +
.../drivers/fsl_ctimer.h | 488 +
.../drivers/fsl_flexcomm.c | 400 +
.../drivers/fsl_flexcomm.h | 64 +
.../drivers/fsl_gpio.c | 303 +
.../drivers/fsl_gpio.h | 365 +
.../drivers/fsl_iocon.h | 288 +
.../drivers/fsl_pint.c | 855 +
.../drivers/fsl_pint.h | 579 +
.../drivers/fsl_power.c | 20 +
.../drivers/fsl_power.h | 224 +
.../drivers/fsl_reset.c | 132 +
.../drivers/fsl_reset.h | 182 +
.../drivers/fsl_usart.c | 939 +
.../drivers/fsl_usart.h | 718 +
.../CORTEX_M0+_LPC51U68_LPCXpresso/readme.txt | 6 +
.../utilities/fsl_assert.c | 33 +
.../utilities/fsl_debug_console.c | 1123 +
.../utilities/fsl_debug_console.h | 213 +
.../utilities/fsl_debug_console_conf.h | 158 +
.../utilities/fsl_str.c | 1324 +
.../utilities/fsl_str.h | 66 +
218 files changed, 208291 insertions(+)
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.cproject
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.gitignore
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.project
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.settings/language.settings.xml
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_common_tables.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_const_structs.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_math.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_armcc.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_armclang.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_compiler.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_gcc.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_iccarm.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/cmsis_version.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/core_cm0plus.h
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_IAR.ewd
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_IAR.ewp
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_IAR.ewt
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_IAR.eww
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_Keil.uvoptx
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CORTEX_M0+_LPC51U68_Keil.uvprojx
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/.ninja_deps
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/.ninja_log
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR.pbd
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR.pbd.browse
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR.pbw
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part0.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part1.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part2.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part3.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part4.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part5.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/CORTEX_M0+_LPC51U68_IAR_part6.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueue.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueue.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueue.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueueTimer.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueueTimer.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/IntQueueTimer.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/blocktim.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/blocktim.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/blocktim.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/board.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/board.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/board.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/build.ninja
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/clock_config.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/clock_config.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/clock_config.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/countsem.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/countsem.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/countsem.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/croutine.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/croutine.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/croutine.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/event_groups.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/event_groups.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/event_groups.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_assert.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_assert.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_assert.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_clock.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_clock.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_clock.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_common.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_common.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_common.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_ctimer.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_ctimer.pbi.dep
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_ctimer.xcl
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_debug_console.pbi
create mode 100644 FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/Debug_IAR/Obj/fsl_debug_console.pbi.dep
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diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.cproject b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.cproject
new file mode 100644
index 000000000..7164d9ef8
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.cproject
@@ -0,0 +1,797 @@
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+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+ SDK_2.x_LPCXpresso51U68
+ 2.6.0
+ middleware.baremetal.LPC51U68;platform.drivers.clock.LPC51U68;device.LPC51U68_CMSIS.LPC51U68;platform.Include_common.LPC51U68;platform.Include_core_cm0plus.LPC51U68;platform.drivers.common.LPC51U68;platform.drivers.power.LPC51U68;platform.drivers.reset.LPC51U68;platform.drivers.flexcomm.LPC51U68;platform.drivers.flexcomm_usart.LPC51U68;platform.drivers.lpc_gpio.LPC51U68;platform.drivers.lpc_iocon.LPC51U68;platform.drivers.pint.LPC51U68;component.serial_manager.LPC51U68;component.lists.LPC51U68;component.serial_manager_uart.LPC51U68;component.usart_adapter.LPC51U68;platform.utilities.assert.LPC51U68;utility.debug_console.LPC51U68;device.LPC51U68_startup.LPC51U68;project_template.lpcxpresso51u68.LPC51U68;platform.drivers.ctimer.LPC51U68;
+ lpcxpresso51u68
+ LPC51U68JBD64
+ cm0plus
+ core0_LPC51U68
+
+
+ <?xml version="1.0" encoding="UTF-8"?>
+<TargetConfig>
+<Properties property_3="NXP" property_4="LPC51U68" property_count="5" version="100300"/>
+<infoList vendor="NXP">
+<info chip="LPC51U68" name="LPC51U68">
+<chip>
+<name>LPC51U68</name>
+<family>LPC51U68</family>
+<vendor>NXP</vendor>
+<memory can_program="true" id="Flash" is_ro="true" size="256" type="Flash"/>
+<memory id="RAM" size="96" type="RAM"/>
+<memoryInstance derived_from="Flash" driver="LPC51U6x_256K.cfx" edited="true" id="PROGRAM_FLASH" location="0x0" size="0x40000"/>
+<memoryInstance derived_from="RAM" edited="true" id="SRAM_00" location="0x4000000" size="0x8000"/>
+<memoryInstance derived_from="RAM" edited="true" id="SRAM0" location="0x20000000" size="0x10000"/>
+</chip>
+<processor>
+<name gcc_name="cortex-m0plus">Cortex-M0+</name>
+<family>Cortex-M</family>
+</processor>
+</info>
+</infoList>
+</TargetConfig>
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.gitignore b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.gitignore
new file mode 100644
index 000000000..555928331
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.gitignore
@@ -0,0 +1,13 @@
+# Ignore Xpresso generated files.
+/.settings/
+/Debug/
+
+# Ignore Keil generated files.
+*.uvguix.*
+EventRecorderStub.scvd
+/Listings/
+/Objects/
+
+# Ignore IAR generated files.
+/settings/
+/Debug_IAR/
\ No newline at end of file
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.project b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.project
new file mode 100644
index 000000000..21505b1a4
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.project
@@ -0,0 +1,317 @@
+
+
+ CORTEX_M0+_LPC51U68_LPCXpresso
+
+
+
+
+
+ org.eclipse.cdt.managedbuilder.core.genmakebuilder
+ clean,full,incremental,
+
+
+
+
+ org.eclipse.cdt.managedbuilder.core.ScannerConfigBuilder
+ full,incremental,
+
+
+
+
+
+ org.eclipse.cdt.core.cnature
+ com.nxp.mcuxpresso.core.datamodels.sdkNature
+ org.eclipse.cdt.managedbuilder.core.managedBuildNature
+ org.eclipse.cdt.managedbuilder.core.ScannerConfigNature
+
+
+
+ Minimal
+ 2
+ virtual:/virtual
+
+
+ Source
+ 2
+ virtual:/virtual
+
+
+ Minimal/IntQueue.c
+ 1
+ PARENT-1-PROJECT_LOC/Common/Minimal/IntQueue.c
+
+
+ Minimal/blocktim.c
+ 1
+ PARENT-1-PROJECT_LOC/Common/Minimal/blocktim.c
+
+
+ Minimal/countsem.c
+ 1
+ PARENT-1-PROJECT_LOC/Common/Minimal/countsem.c
+
+
+ Minimal/recmutex.c
+ 1
+ PARENT-1-PROJECT_LOC/Common/Minimal/recmutex.c
+
+
+ Source/croutine.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/croutine.c
+
+
+ Source/event_groups.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/event_groups.c
+
+
+ Source/include
+ 2
+ virtual:/virtual
+
+
+ Source/list.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/list.c
+
+
+ Source/portable
+ 2
+ virtual:/virtual
+
+
+ Source/queue.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/queue.c
+
+
+ Source/stream_buffer.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/stream_buffer.c
+
+
+ Source/tasks.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/tasks.c
+
+
+ Source/timers.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/timers.c
+
+
+ Source/include/FreeRTOS.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/FreeRTOS.h
+
+
+ Source/include/StackMacros.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/StackMacros.h
+
+
+ Source/include/atomic.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/atomic.h
+
+
+ Source/include/croutine.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/croutine.h
+
+
+ Source/include/deprecated_definitions.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/deprecated_definitions.h
+
+
+ Source/include/event_groups.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/event_groups.h
+
+
+ Source/include/list.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/list.h
+
+
+ Source/include/message_buffer.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/message_buffer.h
+
+
+ Source/include/mpu_prototypes.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/mpu_prototypes.h
+
+
+ Source/include/mpu_wrappers.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/mpu_wrappers.h
+
+
+ Source/include/portable.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/portable.h
+
+
+ Source/include/projdefs.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/projdefs.h
+
+
+ Source/include/queue.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/queue.h
+
+
+ Source/include/semphr.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/semphr.h
+
+
+ Source/include/stack_macros.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/stack_macros.h
+
+
+ Source/include/stream_buffer.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/stream_buffer.h
+
+
+ Source/include/task.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/task.h
+
+
+ Source/include/timers.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/include/timers.h
+
+
+ Source/portable/GCC
+ 2
+ virtual:/virtual
+
+
+ Source/portable/MemMang
+ 2
+ virtual:/virtual
+
+
+ Source/portable/GCC/ARM_CM0
+ 2
+ virtual:/virtual
+
+
+ Source/portable/MemMang/heap_5.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/portable/MemMang/heap_5.c
+
+
+ Source/portable/GCC/ARM_CM0/port.c
+ 1
+ PARENT-2-PROJECT_LOC/Source/portable/GCC/ARM_CM0/port.c
+
+
+ Source/portable/GCC/ARM_CM0/portmacro.h
+ 1
+ PARENT-2-PROJECT_LOC/Source/portable/GCC/ARM_CM0/portmacro.h
+
+
+
+
+ 1576106451918
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-Keil_specific
+
+
+
+ 1576106451932
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-IAR_specific
+
+
+
+ 1576106451941
+
+ 6
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-CORTEX_M0+_LPC51U68_Keil*
+
+
+
+ 1576106451951
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-Debug_IAR
+
+
+
+ 1576106451962
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-Listings
+
+
+
+ 1576106451973
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-Objects
+
+
+
+ 1576106451989
+
+ 30
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-settings
+
+
+
+ 1576106452039
+
+ 6
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-false-false-CORTEX_M0+_LPC51U68_IAR*
+
+
+
+ 1576106452048
+
+ 6
+
+ org.eclipse.ui.ide.multiFilter
+ 1.0-name-matches-true-false-EventRecorderStub.scvd
+
+
+
+
+
+ FREERTOS_DEMO_ROOT
+ $%7BPARENT-2-PROJECT_LOC%7D/Demo
+
+
+ FREERTOS_ROOT
+ $%7BPARENT-2-PROJECT_LOC%7D/Source
+
+
+
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.settings/language.settings.xml b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.settings/language.settings.xml
new file mode 100644
index 000000000..b9880cafd
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/.settings/language.settings.xml
@@ -0,0 +1,25 @@
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_common_tables.h b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_common_tables.h
new file mode 100644
index 000000000..233f62357
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_common_tables.h
@@ -0,0 +1,121 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_common_tables.h
+ * Description: Extern declaration for common tables
+ *
+ * $Date: 27. January 2017
+ * $Revision: V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_COMMON_TABLES_H
+#define _ARM_COMMON_TABLES_H
+
+#include "arm_math.h"
+
+extern const uint16_t armBitRevTable[1024];
+extern const q15_t armRecipTableQ15[64];
+extern const q31_t armRecipTableQ31[64];
+extern const float32_t twiddleCoef_16[32];
+extern const float32_t twiddleCoef_32[64];
+extern const float32_t twiddleCoef_64[128];
+extern const float32_t twiddleCoef_128[256];
+extern const float32_t twiddleCoef_256[512];
+extern const float32_t twiddleCoef_512[1024];
+extern const float32_t twiddleCoef_1024[2048];
+extern const float32_t twiddleCoef_2048[4096];
+extern const float32_t twiddleCoef_4096[8192];
+#define twiddleCoef twiddleCoef_4096
+extern const q31_t twiddleCoef_16_q31[24];
+extern const q31_t twiddleCoef_32_q31[48];
+extern const q31_t twiddleCoef_64_q31[96];
+extern const q31_t twiddleCoef_128_q31[192];
+extern const q31_t twiddleCoef_256_q31[384];
+extern const q31_t twiddleCoef_512_q31[768];
+extern const q31_t twiddleCoef_1024_q31[1536];
+extern const q31_t twiddleCoef_2048_q31[3072];
+extern const q31_t twiddleCoef_4096_q31[6144];
+extern const q15_t twiddleCoef_16_q15[24];
+extern const q15_t twiddleCoef_32_q15[48];
+extern const q15_t twiddleCoef_64_q15[96];
+extern const q15_t twiddleCoef_128_q15[192];
+extern const q15_t twiddleCoef_256_q15[384];
+extern const q15_t twiddleCoef_512_q15[768];
+extern const q15_t twiddleCoef_1024_q15[1536];
+extern const q15_t twiddleCoef_2048_q15[3072];
+extern const q15_t twiddleCoef_4096_q15[6144];
+extern const float32_t twiddleCoef_rfft_32[32];
+extern const float32_t twiddleCoef_rfft_64[64];
+extern const float32_t twiddleCoef_rfft_128[128];
+extern const float32_t twiddleCoef_rfft_256[256];
+extern const float32_t twiddleCoef_rfft_512[512];
+extern const float32_t twiddleCoef_rfft_1024[1024];
+extern const float32_t twiddleCoef_rfft_2048[2048];
+extern const float32_t twiddleCoef_rfft_4096[4096];
+
+/* floating-point bit reversal tables */
+#define ARMBITREVINDEXTABLE_16_TABLE_LENGTH ((uint16_t)20)
+#define ARMBITREVINDEXTABLE_32_TABLE_LENGTH ((uint16_t)48)
+#define ARMBITREVINDEXTABLE_64_TABLE_LENGTH ((uint16_t)56)
+#define ARMBITREVINDEXTABLE_128_TABLE_LENGTH ((uint16_t)208)
+#define ARMBITREVINDEXTABLE_256_TABLE_LENGTH ((uint16_t)440)
+#define ARMBITREVINDEXTABLE_512_TABLE_LENGTH ((uint16_t)448)
+#define ARMBITREVINDEXTABLE_1024_TABLE_LENGTH ((uint16_t)1800)
+#define ARMBITREVINDEXTABLE_2048_TABLE_LENGTH ((uint16_t)3808)
+#define ARMBITREVINDEXTABLE_4096_TABLE_LENGTH ((uint16_t)4032)
+
+extern const uint16_t armBitRevIndexTable16[ARMBITREVINDEXTABLE_16_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable32[ARMBITREVINDEXTABLE_32_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable64[ARMBITREVINDEXTABLE_64_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable128[ARMBITREVINDEXTABLE_128_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable256[ARMBITREVINDEXTABLE_256_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable512[ARMBITREVINDEXTABLE_512_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable1024[ARMBITREVINDEXTABLE_1024_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable2048[ARMBITREVINDEXTABLE_2048_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable4096[ARMBITREVINDEXTABLE_4096_TABLE_LENGTH];
+
+/* fixed-point bit reversal tables */
+#define ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH ((uint16_t)12)
+#define ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH ((uint16_t)24)
+#define ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH ((uint16_t)56)
+#define ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH ((uint16_t)112)
+#define ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH ((uint16_t)240)
+#define ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH ((uint16_t)480)
+#define ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH ((uint16_t)992)
+#define ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH ((uint16_t)1984)
+#define ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH ((uint16_t)4032)
+
+extern const uint16_t armBitRevIndexTable_fixed_16[ARMBITREVINDEXTABLE_FIXED_16_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_32[ARMBITREVINDEXTABLE_FIXED_32_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_64[ARMBITREVINDEXTABLE_FIXED_64_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_128[ARMBITREVINDEXTABLE_FIXED_128_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_256[ARMBITREVINDEXTABLE_FIXED_256_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_512[ARMBITREVINDEXTABLE_FIXED_512_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_1024[ARMBITREVINDEXTABLE_FIXED_1024_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_2048[ARMBITREVINDEXTABLE_FIXED_2048_TABLE_LENGTH];
+extern const uint16_t armBitRevIndexTable_fixed_4096[ARMBITREVINDEXTABLE_FIXED_4096_TABLE_LENGTH];
+
+/* Tables for Fast Math Sine and Cosine */
+extern const float32_t sinTable_f32[FAST_MATH_TABLE_SIZE + 1];
+extern const q31_t sinTable_q31[FAST_MATH_TABLE_SIZE + 1];
+extern const q15_t sinTable_q15[FAST_MATH_TABLE_SIZE + 1];
+
+#endif /* ARM_COMMON_TABLES_H */
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_const_structs.h b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_const_structs.h
new file mode 100644
index 000000000..677073e59
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_const_structs.h
@@ -0,0 +1,66 @@
+/* ----------------------------------------------------------------------
+ * Project: CMSIS DSP Library
+ * Title: arm_const_structs.h
+ * Description: Constant structs that are initialized for user convenience.
+ * For example, some can be given as arguments to the arm_cfft_f32() function.
+ *
+ * $Date: 27. January 2017
+ * $Revision: V.1.5.1
+ *
+ * Target Processor: Cortex-M cores
+ * -------------------------------------------------------------------- */
+/*
+ * Copyright (C) 2010-2017 ARM Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+#ifndef _ARM_CONST_STRUCTS_H
+#define _ARM_CONST_STRUCTS_H
+
+#include "arm_math.h"
+#include "arm_common_tables.h"
+
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len16;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len32;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len64;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len128;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len256;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len512;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len1024;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len2048;
+ extern const arm_cfft_instance_f32 arm_cfft_sR_f32_len4096;
+
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len16;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len32;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len64;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len128;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len256;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len512;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len1024;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len2048;
+ extern const arm_cfft_instance_q31 arm_cfft_sR_q31_len4096;
+
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len16;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len32;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len64;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len128;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len256;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len512;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len1024;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len2048;
+ extern const arm_cfft_instance_q15 arm_cfft_sR_q15_len4096;
+
+#endif
diff --git a/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_math.h b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_math.h
new file mode 100644
index 000000000..16c7f1d2c
--- /dev/null
+++ b/FreeRTOS/Demo/CORTEX_M0+_LPC51U68_LPCXpresso/CMSIS/arm_math.h
@@ -0,0 +1,7160 @@
+/******************************************************************************
+ * @file arm_math.h
+ * @brief Public header file for CMSIS DSP LibraryU
+ * @version V1.5.3
+ * @date 10. January 2018
+ ******************************************************************************/
+/*
+ * Copyright (c) 2010-2018 Arm Limited or its affiliates. All rights reserved.
+ *
+ * SPDX-License-Identifier: Apache-2.0
+ *
+ * Licensed under the Apache License, Version 2.0 (the License); you may
+ * not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an AS IS BASIS, WITHOUT
+ * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ */
+
+/**
+ \mainpage CMSIS DSP Software Library
+ *
+ * Introduction
+ * ------------
+ *
+ * This user manual describes the CMSIS DSP software library,
+ * a suite of common signal processing functions for use on Cortex-M processor based devices.
+ *
+ * The library is divided into a number of functions each covering a specific category:
+ * - Basic math functions
+ * - Fast math functions
+ * - Complex math functions
+ * - Filters
+ * - Matrix functions
+ * - Transforms
+ * - Motor control functions
+ * - Statistical functions
+ * - Support functions
+ * - Interpolation functions
+ *
+ * The library has separate functions for operating on 8-bit integers, 16-bit integers,
+ * 32-bit integer and 32-bit floating-point values.
+ *
+ * Using the Library
+ * ------------
+ *
+ * The library installer contains prebuilt versions of the libraries in the Lib folder.
+ * - arm_cortexM7lfdp_math.lib (Cortex-M7, Little endian, Double Precision Floating Point Unit)
+ * - arm_cortexM7bfdp_math.lib (Cortex-M7, Big endian, Double Precision Floating Point Unit)
+ * - arm_cortexM7lfsp_math.lib (Cortex-M7, Little endian, Single Precision Floating Point Unit)
+ * - arm_cortexM7bfsp_math.lib (Cortex-M7, Big endian and Single Precision Floating Point Unit on)
+ * - arm_cortexM7l_math.lib (Cortex-M7, Little endian)
+ * - arm_cortexM7b_math.lib (Cortex-M7, Big endian)
+ * - arm_cortexM4lf_math.lib (Cortex-M4, Little endian, Floating Point Unit)
+ * - arm_cortexM4bf_math.lib (Cortex-M4, Big endian, Floating Point Unit)
+ * - arm_cortexM4l_math.lib (Cortex-M4, Little endian)
+ * - arm_cortexM4b_math.lib (Cortex-M4, Big endian)
+ * - arm_cortexM3l_math.lib (Cortex-M3, Little endian)
+ * - arm_cortexM3b_math.lib (Cortex-M3, Big endian)
+ * - arm_cortexM0l_math.lib (Cortex-M0 / Cortex-M0+, Little endian)
+ * - arm_cortexM0b_math.lib (Cortex-M0 / Cortex-M0+, Big endian)
+ * - arm_ARMv8MBLl_math.lib (Armv8-M Baseline, Little endian)
+ * - arm_ARMv8MMLl_math.lib (Armv8-M Mainline, Little endian)
+ * - arm_ARMv8MMLlfsp_math.lib (Armv8-M Mainline, Little endian, Single Precision Floating Point Unit)
+ * - arm_ARMv8MMLld_math.lib (Armv8-M Mainline, Little endian, DSP instructions)
+ * - arm_ARMv8MMLldfsp_math.lib (Armv8-M Mainline, Little endian, DSP instructions, Single Precision Floating Point Unit)
+ *
+ * The library functions are declared in the public file arm_math.h which is placed in the Include folder.
+ * Simply include this file and link the appropriate library in the application and begin calling the library functions. The Library supports single
+ * public header file arm_math.h for Cortex-M cores with little endian and big endian. Same header file will be used for floating point unit(FPU) variants.
+ * Define the appropriate preprocessor macro ARM_MATH_CM7 or ARM_MATH_CM4 or ARM_MATH_CM3 or
+ * ARM_MATH_CM0 or ARM_MATH_CM0PLUS depending on the target processor in the application.
+ * For Armv8-M cores define preprocessor macro ARM_MATH_ARMV8MBL or ARM_MATH_ARMV8MML.
+ * Set preprocessor macro __DSP_PRESENT if Armv8-M Mainline core supports DSP instructions.
+ *
+ *
+ * Examples
+ * --------
+ *
+ * The library ships with a number of examples which demonstrate how to use the library functions.
+ *
+ * Toolchain Support
+ * ------------
+ *
+ * The library has been developed and tested with MDK version 5.14.0.0
+ * The library is being tested in GCC and IAR toolchains and updates on this activity will be made available shortly.
+ *
+ * Building the Library
+ * ------------
+ *
+ * The library installer contains a project file to rebuild libraries on MDK toolchain in the CMSIS\\DSP_Lib\\Source\\ARM folder.
+ * - arm_cortexM_math.uvprojx
+ *
+ *
+ * The libraries can be built by opening the arm_cortexM_math.uvprojx project in MDK-ARM, selecting a specific target, and defining the optional preprocessor macros detailed above.
+ *
+ * Preprocessor Macros
+ * ------------
+ *
+ * Each library project have different preprocessor macros.
+ *
+ * - UNALIGNED_SUPPORT_DISABLE:
+ *
+ * Define macro UNALIGNED_SUPPORT_DISABLE, If the silicon does not support unaligned memory access
+ *
+ * - ARM_MATH_BIG_ENDIAN:
+ *
+ * Define macro ARM_MATH_BIG_ENDIAN to build the library for big endian targets. By default library builds for little endian targets.
+ *
+ * - ARM_MATH_MATRIX_CHECK:
+ *
+ * Define macro ARM_MATH_MATRIX_CHECK for checking on the input and output sizes of matrices
+ *
+ * - ARM_MATH_ROUNDING:
+ *
+ * Define macro ARM_MATH_ROUNDING for rounding on support functions
+ *
+ * - ARM_MATH_CMx:
+ *
+ * Define macro ARM_MATH_CM4 for building the library on Cortex-M4 target, ARM_MATH_CM3 for building library on Cortex-M3 target
+ * and ARM_MATH_CM0 for building library on Cortex-M0 target, ARM_MATH_CM0PLUS for building library on Cortex-M0+ target, and
+ * ARM_MATH_CM7 for building the library on cortex-M7.
+ *
+ * - ARM_MATH_ARMV8MxL:
+ *
+ * Define macro ARM_MATH_ARMV8MBL for building the library on Armv8-M Baseline target, ARM_MATH_ARMV8MML for building library
+ * on Armv8-M Mainline target.
+ *
+ * - __FPU_PRESENT:
+ *
+ * Initialize macro __FPU_PRESENT = 1 when building on FPU supported Targets. Enable this macro for floating point libraries.
+ *
+ * - __DSP_PRESENT:
+ *
+ * Initialize macro __DSP_PRESENT = 1 when Armv8-M Mainline core supports DSP instructions.
+ *
+ *
+ * CMSIS-DSP in ARM::CMSIS Pack
+ * -----------------------------
+ *
+ * The following files relevant to CMSIS-DSP are present in the ARM::CMSIS Pack directories:
+ * |File/Folder |Content |
+ * |------------------------------|------------------------------------------------------------------------|
+ * |\b CMSIS\\Documentation\\DSP | This documentation |
+ * |\b CMSIS\\DSP_Lib | Software license agreement (license.txt) |
+ * |\b CMSIS\\DSP_Lib\\Examples | Example projects demonstrating the usage of the library functions |
+ * |\b CMSIS\\DSP_Lib\\Source | Source files for rebuilding the library |
+ *
+ *
+ * Revision History of CMSIS-DSP
+ * ------------
+ * Please refer to \ref ChangeLog_pg.
+ *
+ * Copyright Notice
+ * ------------
+ *
+ * Copyright (C) 2010-2015 Arm Limited. All rights reserved.
+ */
+
+
+/**
+ * @defgroup groupMath Basic Math Functions
+ */
+
+/**
+ * @defgroup groupFastMath Fast Math Functions
+ * This set of functions provides a fast approximation to sine, cosine, and square root.
+ * As compared to most of the other functions in the CMSIS math library, the fast math functions
+ * operate on individual values and not arrays.
+ * There are separate functions for Q15, Q31, and floating-point data.
+ *
+ */
+
+/**
+ * @defgroup groupCmplxMath Complex Math Functions
+ * This set of functions operates on complex data vectors.
+ * The data in the complex arrays is stored in an interleaved fashion
+ * (real, imag, real, imag, ...).
+ * In the API functions, the number of samples in a complex array refers
+ * to the number of complex values; the array contains twice this number of
+ * real values.
+ */
+
+/**
+ * @defgroup groupFilters Filtering Functions
+ */
+
+/**
+ * @defgroup groupMatrix Matrix Functions
+ *
+ * This set of functions provides basic matrix math operations.
+ * The functions operate on matrix data structures. For example,
+ * the type
+ * definition for the floating-point matrix structure is shown
+ * below:
+ *
+ * typedef struct
+ * {
+ * uint16_t numRows; // number of rows of the matrix.
+ * uint16_t numCols; // number of columns of the matrix.
+ * float32_t *pData; // points to the data of the matrix.
+ * } arm_matrix_instance_f32;
+ *
+ * There are similar definitions for Q15 and Q31 data types.
+ *
+ * The structure specifies the size of the matrix and then points to
+ * an array of data. The array is of size numRows X numCols
+ * and the values are arranged in row order. That is, the
+ * matrix element (i, j) is stored at:
+ *
+ * pData[i*numCols + j]
+ *
+ *
+ * \par Init Functions
+ * There is an associated initialization function for each type of matrix
+ * data structure.
+ * The initialization function sets the values of the internal structure fields.
+ * Refer to the function arm_mat_init_f32(), arm_mat_init_q31()
+ * and arm_mat_init_q15() for floating-point, Q31 and Q15 types, respectively.
+ *
+ * \par
+ * Use of the initialization function is optional. However, if initialization function is used
+ * then the instance structure cannot be placed into a const data section.
+ * To place the instance structure in a const data
+ * section, manually initialize the data structure. For example:
+ *
+ * arm_matrix_instance_f32 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q31 S = {nRows, nColumns, pData};
+ * arm_matrix_instance_q15 S = {nRows, nColumns, pData};
+ *
+ * where nRows specifies the number of rows, nColumns
+ * specifies the number of columns, and pData points to the
+ * data array.
+ *
+ * \par Size Checking
+ * By default all of the matrix functions perform size checking on the input and
+ * output matrices. For example, the matrix addition function verifies that the
+ * two input matrices and the output matrix all have the same number of rows and
+ * columns. If the size check fails the functions return:
+ *
+ * ARM_MATH_SIZE_MISMATCH
+ *
+ * Otherwise the functions return
+ *
+ * ARM_MATH_SUCCESS
+ *
+ * There is some overhead associated with this matrix size checking.
+ * The matrix size checking is enabled via the \#define
+ *
+ * ARM_MATH_MATRIX_CHECK
+ *
+ * within the library project settings. By default this macro is defined
+ * and size checking is enabled. By changing the project settings and
+ * undefining this macro size checking is eliminated and the functions
+ * run a bit faster. With size checking disabled the functions always
+ * return ARM_MATH_SUCCESS.
+ */
+
+/**
+ * @defgroup groupTransforms Transform Functions
+ */
+
+/**
+ * @defgroup groupController Controller Functions
+ */
+
+/**
+ * @defgroup groupStats Statistics Functions
+ */
+/**
+ * @defgroup groupSupport Support Functions
+ */
+
+/**
+ * @defgroup groupInterpolation Interpolation Functions
+ * These functions perform 1- and 2-dimensional interpolation of data.
+ * Linear interpolation is used for 1-dimensional data and
+ * bilinear interpolation is used for 2-dimensional data.
+ */
+
+/**
+ * @defgroup groupExamples Examples
+ */
+#ifndef _ARM_MATH_H
+#define _ARM_MATH_H
+
+/* Compiler specific diagnostic adjustment */
+#if defined ( __CC_ARM )
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+
+#elif defined ( __GNUC__ )
+#pragma GCC diagnostic push
+#pragma GCC diagnostic ignored "-Wsign-conversion"
+#pragma GCC diagnostic ignored "-Wconversion"
+#pragma GCC diagnostic ignored "-Wunused-parameter"
+
+#elif defined ( __ICCARM__ )
+
+#elif defined ( __TI_ARM__ )
+
+#elif defined ( __CSMC__ )
+
+#elif defined ( __TASKING__ )
+
+#else
+ #error Unknown compiler
+#endif
+
+
+#define __CMSIS_GENERIC /* disable NVIC and Systick functions */
+
+#if defined(ARM_MATH_CM7)
+ #include "core_cm7.h"
+ #define ARM_MATH_DSP
+#elif defined (ARM_MATH_CM4)
+ #include "core_cm4.h"
+ #define ARM_MATH_DSP
+#elif defined (ARM_MATH_CM33)
+ #include "core_cm33.h"
+ #define ARM_MATH_DSP
+#elif defined (ARM_MATH_CM3)
+ #include "core_cm3.h"
+#elif defined (ARM_MATH_CM0)
+ #include "core_cm0.h"
+ #define ARM_MATH_CM0_FAMILY
+#elif defined (ARM_MATH_CM0PLUS)
+ #include "core_cm0plus.h"
+ #define ARM_MATH_CM0_FAMILY
+#elif defined (ARM_MATH_ARMV8MBL)
+ #include "core_armv8mbl.h"
+ #define ARM_MATH_CM0_FAMILY
+#elif defined (ARM_MATH_ARMV8MML)
+ #include "core_armv8mml.h"
+ #if (defined (__DSP_PRESENT) && (__DSP_PRESENT == 1))
+ #define ARM_MATH_DSP
+ #endif
+#else
+ #error "Define according the used Cortex core ARM_MATH_CM7, ARM_MATH_CM4, ARM_MATH_CM3, ARM_MATH_CM0PLUS, ARM_MATH_CM0, ARM_MATH_ARMV8MBL, ARM_MATH_ARMV8MML"
+#endif
+
+#undef __CMSIS_GENERIC /* enable NVIC and Systick functions */
+#include "string.h"
+#include "math.h"
+#ifdef __cplusplus
+extern "C"
+{
+#endif
+
+
+ /**
+ * @brief Macros required for reciprocal calculation in Normalized LMS
+ */
+
+#define DELTA_Q31 (0x100)
+#define DELTA_Q15 0x5
+#define INDEX_MASK 0x0000003F
+#ifndef PI
+ #define PI 3.14159265358979f
+#endif
+
+ /**
+ * @brief Macros required for SINE and COSINE Fast math approximations
+ */
+
+#define FAST_MATH_TABLE_SIZE 512
+#define FAST_MATH_Q31_SHIFT (32 - 10)
+#define FAST_MATH_Q15_SHIFT (16 - 10)
+#define CONTROLLER_Q31_SHIFT (32 - 9)
+#define TABLE_SPACING_Q31 0x400000
+#define TABLE_SPACING_Q15 0x80
+
+ /**
+ * @brief Macros required for SINE and COSINE Controller functions
+ */
+ /* 1.31(q31) Fixed value of 2/360 */
+ /* -1 to +1 is divided into 360 values so total spacing is (2/360) */
+#define INPUT_SPACING 0xB60B61
+
+ /**
+ * @brief Macro for Unaligned Support
+ */
+#ifndef UNALIGNED_SUPPORT_DISABLE
+ #define ALIGN4
+#else
+ #if defined (__GNUC__)
+ #define ALIGN4 __attribute__((aligned(4)))
+ #else
+ #define ALIGN4 __align(4)
+ #endif
+#endif /* #ifndef UNALIGNED_SUPPORT_DISABLE */
+
+ /**
+ * @brief Error status returned by some functions in the library.
+ */
+
+ typedef enum
+ {
+ ARM_MATH_SUCCESS = 0, /**< No error */
+ ARM_MATH_ARGUMENT_ERROR = -1, /**< One or more arguments are incorrect */
+ ARM_MATH_LENGTH_ERROR = -2, /**< Length of data buffer is incorrect */
+ ARM_MATH_SIZE_MISMATCH = -3, /**< Size of matrices is not compatible with the operation. */
+ ARM_MATH_NANINF = -4, /**< Not-a-number (NaN) or infinity is generated */
+ ARM_MATH_SINGULAR = -5, /**< Generated by matrix inversion if the input matrix is singular and cannot be inverted. */
+ ARM_MATH_TEST_FAILURE = -6 /**< Test Failed */
+ } arm_status;
+
+ /**
+ * @brief 8-bit fractional data type in 1.7 format.
+ */
+ typedef int8_t q7_t;
+
+ /**
+ * @brief 16-bit fractional data type in 1.15 format.
+ */
+ typedef int16_t q15_t;
+
+ /**
+ * @brief 32-bit fractional data type in 1.31 format.
+ */
+ typedef int32_t q31_t;
+
+ /**
+ * @brief 64-bit fractional data type in 1.63 format.
+ */
+ typedef int64_t q63_t;
+
+ /**
+ * @brief 32-bit floating-point type definition.
+ */
+ typedef float float32_t;
+
+ /**
+ * @brief 64-bit floating-point type definition.
+ */
+ typedef double float64_t;
+
+ /**
+ * @brief definition to read/write two 16 bit values.
+ */
+#if defined ( __CC_ARM )
+ #define __SIMD32_TYPE int32_t __packed
+ #define CMSIS_UNUSED __attribute__((unused))
+ #define CMSIS_INLINE __attribute__((always_inline))
+
+#elif defined ( __ARMCC_VERSION ) && ( __ARMCC_VERSION >= 6010050 )
+ #define __SIMD32_TYPE int32_t
+ #define CMSIS_UNUSED __attribute__((unused))
+ #define CMSIS_INLINE __attribute__((always_inline))
+
+#elif defined ( __GNUC__ )
+ #define __SIMD32_TYPE int32_t
+ #define CMSIS_UNUSED __attribute__((unused))
+ #define CMSIS_INLINE __attribute__((always_inline))
+
+#elif defined ( __ICCARM__ )
+ #define __SIMD32_TYPE int32_t __packed
+ #define CMSIS_UNUSED
+ #define CMSIS_INLINE
+
+#elif defined ( __TI_ARM__ )
+ #define __SIMD32_TYPE int32_t
+ #define CMSIS_UNUSED __attribute__((unused))
+ #define CMSIS_INLINE
+
+#elif defined ( __CSMC__ )
+ #define __SIMD32_TYPE int32_t
+ #define CMSIS_UNUSED
+ #define CMSIS_INLINE
+
+#elif defined ( __TASKING__ )
+ #define __SIMD32_TYPE __unaligned int32_t
+ #define CMSIS_UNUSED
+ #define CMSIS_INLINE
+
+#else
+ #error Unknown compiler
+#endif
+
+#define __SIMD32(addr) (*(__SIMD32_TYPE **) & (addr))
+#define __SIMD32_CONST(addr) ((__SIMD32_TYPE *)(addr))
+#define _SIMD32_OFFSET(addr) (*(__SIMD32_TYPE *) (addr))
+#define __SIMD64(addr) (*(int64_t **) & (addr))
+
+#if !defined (ARM_MATH_DSP)
+ /**
+ * @brief definition to pack two 16 bit values.
+ */
+#define __PKHBT(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0x0000FFFF) | \
+ (((int32_t)(ARG2) << ARG3) & (int32_t)0xFFFF0000) )
+#define __PKHTB(ARG1, ARG2, ARG3) ( (((int32_t)(ARG1) << 0) & (int32_t)0xFFFF0000) | \
+ (((int32_t)(ARG2) >> ARG3) & (int32_t)0x0000FFFF) )
+
+#endif /* !defined (ARM_MATH_DSP) */
+
+ /**
+ * @brief definition to pack four 8 bit values.
+ */
+#ifndef ARM_MATH_BIG_ENDIAN
+
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v0) << 0) & (int32_t)0x000000FF) | \
+ (((int32_t)(v1) << 8) & (int32_t)0x0000FF00) | \
+ (((int32_t)(v2) << 16) & (int32_t)0x00FF0000) | \
+ (((int32_t)(v3) << 24) & (int32_t)0xFF000000) )
+#else
+
+#define __PACKq7(v0,v1,v2,v3) ( (((int32_t)(v3) << 0) & (int32_t)0x000000FF) | \
+ (((int32_t)(v2) << 8) & (int32_t)0x0000FF00) | \
+ (((int32_t)(v1) << 16) & (int32_t)0x00FF0000) | \
+ (((int32_t)(v0) << 24) & (int32_t)0xFF000000) )
+
+#endif
+
+
+ /**
+ * @brief Clips Q63 to Q31 values.
+ */
+ CMSIS_INLINE __STATIC_INLINE q31_t clip_q63_to_q31(
+ q63_t x)
+ {
+ return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+ ((0x7FFFFFFF ^ ((q31_t) (x >> 63)))) : (q31_t) x;
+ }
+
+ /**
+ * @brief Clips Q63 to Q15 values.
+ */
+ CMSIS_INLINE __STATIC_INLINE q15_t clip_q63_to_q15(
+ q63_t x)
+ {
+ return ((q31_t) (x >> 32) != ((q31_t) x >> 31)) ?
+ ((0x7FFF ^ ((q15_t) (x >> 63)))) : (q15_t) (x >> 15);
+ }
+
+ /**
+ * @brief Clips Q31 to Q7 values.
+ */
+ CMSIS_INLINE __STATIC_INLINE q7_t clip_q31_to_q7(
+ q31_t x)
+ {
+ return ((q31_t) (x >> 24) != ((q31_t) x >> 23)) ?
+ ((0x7F ^ ((q7_t) (x >> 31)))) : (q7_t) x;
+ }
+
+ /**
+ * @brief Clips Q31 to Q15 values.
+ */
+ CMSIS_INLINE __STATIC_INLINE q15_t clip_q31_to_q15(
+ q31_t x)
+ {
+ return ((q31_t) (x >> 16) != ((q31_t) x >> 15)) ?
+ ((0x7FFF ^ ((q15_t) (x >> 31)))) : (q15_t) x;
+ }
+
+ /**
+ * @brief Multiplies 32 X 64 and returns 32 bit result in 2.30 format.
+ */
+
+ CMSIS_INLINE __STATIC_INLINE q63_t mult32x64(
+ q63_t x,
+ q31_t y)
+ {
+ return ((((q63_t) (x & 0x00000000FFFFFFFF) * y) >> 32) +
+ (((q63_t) (x >> 32) * y)));
+ }
+
+ /**
+ * @brief Function to Calculates 1/in (reciprocal) value of Q31 Data type.
+ */
+
+ CMSIS_INLINE __STATIC_INLINE uint32_t arm_recip_q31(
+ q31_t in,
+ q31_t * dst,
+ q31_t * pRecipTable)
+ {
+ q31_t out;
+ uint32_t tempVal;
+ uint32_t index, i;
+ uint32_t signBits;
+
+ if (in > 0)
+ {
+ signBits = ((uint32_t) (__CLZ( in) - 1));
+ }
+ else
+ {
+ signBits = ((uint32_t) (__CLZ(-in) - 1));
+ }
+
+ /* Convert input sample to 1.31 format */
+ in = (in << signBits);
+
+ /* calculation of index for initial approximated Val */
+ index = (uint32_t)(in >> 24);
+ index = (index & INDEX_MASK);
+
+ /* 1.31 with exp 1 */
+ out = pRecipTable[index];
+
+ /* calculation of reciprocal value */
+ /* running approximation for two iterations */
+ for (i = 0U; i < 2U; i++)
+ {
+ tempVal = (uint32_t) (((q63_t) in * out) >> 31);
+ tempVal = 0x7FFFFFFFu - tempVal;
+ /* 1.31 with exp 1 */
+ /* out = (q31_t) (((q63_t) out * tempVal) >> 30); */
+ out = clip_q63_to_q31(((q63_t) out * tempVal) >> 30);
+ }
+
+ /* write output */
+ *dst = out;
+
+ /* return num of signbits of out = 1/in value */
+ return (signBits + 1U);
+ }
+
+
+ /**
+ * @brief Function to Calculates 1/in (reciprocal) value of Q15 Data type.
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t arm_recip_q15(
+ q15_t in,
+ q15_t * dst,
+ q15_t * pRecipTable)
+ {
+ q15_t out = 0;
+ uint32_t tempVal = 0;
+ uint32_t index = 0, i = 0;
+ uint32_t signBits = 0;
+
+ if (in > 0)
+ {
+ signBits = ((uint32_t)(__CLZ( in) - 17));
+ }
+ else
+ {
+ signBits = ((uint32_t)(__CLZ(-in) - 17));
+ }
+
+ /* Convert input sample to 1.15 format */
+ in = (in << signBits);
+
+ /* calculation of index for initial approximated Val */
+ index = (uint32_t)(in >> 8);
+ index = (index & INDEX_MASK);
+
+ /* 1.15 with exp 1 */
+ out = pRecipTable[index];
+
+ /* calculation of reciprocal value */
+ /* running approximation for two iterations */
+ for (i = 0U; i < 2U; i++)
+ {
+ tempVal = (uint32_t) (((q31_t) in * out) >> 15);
+ tempVal = 0x7FFFu - tempVal;
+ /* 1.15 with exp 1 */
+ out = (q15_t) (((q31_t) out * tempVal) >> 14);
+ /* out = clip_q31_to_q15(((q31_t) out * tempVal) >> 14); */
+ }
+
+ /* write output */
+ *dst = out;
+
+ /* return num of signbits of out = 1/in value */
+ return (signBits + 1);
+ }
+
+
+/*
+ * @brief C custom defined intrinsic function for M3 and M0 processors
+ */
+#if !defined (ARM_MATH_DSP)
+
+ /*
+ * @brief C custom defined QADD8 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QADD8(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s, t, u;
+
+ r = __SSAT(((((q31_t)x << 24) >> 24) + (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+ s = __SSAT(((((q31_t)x << 16) >> 24) + (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+ t = __SSAT(((((q31_t)x << 8) >> 24) + (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF;
+ u = __SSAT(((((q31_t)x ) >> 24) + (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF;
+
+ return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB8 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QSUB8(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s, t, u;
+
+ r = __SSAT(((((q31_t)x << 24) >> 24) - (((q31_t)y << 24) >> 24)), 8) & (int32_t)0x000000FF;
+ s = __SSAT(((((q31_t)x << 16) >> 24) - (((q31_t)y << 16) >> 24)), 8) & (int32_t)0x000000FF;
+ t = __SSAT(((((q31_t)x << 8) >> 24) - (((q31_t)y << 8) >> 24)), 8) & (int32_t)0x000000FF;
+ u = __SSAT(((((q31_t)x ) >> 24) - (((q31_t)y ) >> 24)), 8) & (int32_t)0x000000FF;
+
+ return ((uint32_t)((u << 24) | (t << 16) | (s << 8) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QADD16 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QADD16(
+ uint32_t x,
+ uint32_t y)
+ {
+/* q31_t r, s; without initialisation 'arm_offset_q15 test' fails but 'intrinsic' tests pass! for armCC */
+ q31_t r = 0, s = 0;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHADD16 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SHADD16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB16 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QSUB16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHSUB16 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SHSUB16(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QASX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QASX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHASX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SHASX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) - (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) + (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined QSAX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __QSAX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = __SSAT(((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)), 16) & (int32_t)0x0000FFFF;
+ s = __SSAT(((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)), 16) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SHSAX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SHSAX(
+ uint32_t x,
+ uint32_t y)
+ {
+ q31_t r, s;
+
+ r = (((((q31_t)x << 16) >> 16) + (((q31_t)y ) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+ s = (((((q31_t)x ) >> 16) - (((q31_t)y << 16) >> 16)) >> 1) & (int32_t)0x0000FFFF;
+
+ return ((uint32_t)((s << 16) | (r )));
+ }
+
+
+ /*
+ * @brief C custom defined SMUSDX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMUSDX(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) ));
+ }
+
+ /*
+ * @brief C custom defined SMUADX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMUADX(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined QADD for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE int32_t __QADD(
+ int32_t x,
+ int32_t y)
+ {
+ return ((int32_t)(clip_q63_to_q31((q63_t)x + (q31_t)y)));
+ }
+
+
+ /*
+ * @brief C custom defined QSUB for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE int32_t __QSUB(
+ int32_t x,
+ int32_t y)
+ {
+ return ((int32_t)(clip_q63_to_q31((q63_t)x - (q31_t)y)));
+ }
+
+
+ /*
+ * @brief C custom defined SMLAD for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMLAD(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLADX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMLADX(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLSDX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMLSDX(
+ uint32_t x,
+ uint32_t y,
+ uint32_t sum)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q31_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLALD for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint64_t __SMLALD(
+ uint32_t x,
+ uint32_t y,
+ uint64_t sum)
+ {
+/* return (sum + ((q15_t) (x >> 16) * (q15_t) (y >> 16)) + ((q15_t) x * (q15_t) y)); */
+ return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) +
+ ( ((q63_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMLALDX for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint64_t __SMLALDX(
+ uint32_t x,
+ uint32_t y,
+ uint64_t sum)
+ {
+/* return (sum + ((q15_t) (x >> 16) * (q15_t) y)) + ((q15_t) x * (q15_t) (y >> 16)); */
+ return ((uint64_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y ) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ( ((q63_t)sum ) ) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMUAD for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMUAD(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) +
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined SMUSD for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SMUSD(
+ uint32_t x,
+ uint32_t y)
+ {
+ return ((uint32_t)(((((q31_t)x << 16) >> 16) * (((q31_t)y << 16) >> 16)) -
+ ((((q31_t)x ) >> 16) * (((q31_t)y ) >> 16)) ));
+ }
+
+
+ /*
+ * @brief C custom defined SXTB16 for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE uint32_t __SXTB16(
+ uint32_t x)
+ {
+ return ((uint32_t)(((((q31_t)x << 24) >> 24) & (q31_t)0x0000FFFF) |
+ ((((q31_t)x << 8) >> 8) & (q31_t)0xFFFF0000) ));
+ }
+
+ /*
+ * @brief C custom defined SMMLA for M3 and M0 processors
+ */
+ CMSIS_INLINE __STATIC_INLINE int32_t __SMMLA(
+ int32_t x,
+ int32_t y,
+ int32_t sum)
+ {
+ return (sum + (int32_t) (((int64_t) x * y) >> 32));
+ }
+
+#endif /* !defined (ARM_MATH_DSP) */
+
+
+ /**
+ * @brief Instance structure for the Q7 FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of filter coefficients in the filter. */
+ q7_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ } arm_fir_instance_q7;
+
+ /**
+ * @brief Instance structure for the Q15 FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of filter coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ } arm_fir_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of filter coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ } arm_fir_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of filter coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ } arm_fir_instance_f32;
+
+
+ /**
+ * @brief Processing function for the Q7 FIR filter.
+ * @param[in] S points to an instance of the Q7 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_q7(
+ const arm_fir_instance_q7 * S,
+ q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q7 FIR filter.
+ * @param[in,out] S points to an instance of the Q7 FIR structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed.
+ */
+ void arm_fir_init_q7(
+ arm_fir_instance_q7 * S,
+ uint16_t numTaps,
+ q7_t * pCoeffs,
+ q7_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR filter.
+ * @param[in] S points to an instance of the Q15 FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_q15(
+ const arm_fir_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the fast Q15 FIR filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_fast_q15(
+ const arm_fir_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR filter.
+ * @param[in,out] S points to an instance of the Q15 FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter. Must be even and greater than or equal to 4.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ * @return The function returns ARM_MATH_SUCCESS if initialization was successful or ARM_MATH_ARGUMENT_ERROR if
+ * numTaps is not a supported value.
+ */
+ arm_status arm_fir_init_q15(
+ arm_fir_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR filter.
+ * @param[in] S points to an instance of the Q31 FIR filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_q31(
+ const arm_fir_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the fast Q31 FIR filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_fast_q31(
+ const arm_fir_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR filter.
+ * @param[in,out] S points to an instance of the Q31 FIR structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_q31(
+ arm_fir_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR filter.
+ * @param[in] S points to an instance of the floating-point FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_f32(
+ const arm_fir_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point FIR filter.
+ * @param[in,out] S points to an instance of the floating-point FIR filter structure.
+ * @param[in] numTaps Number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of samples that are processed at a time.
+ */
+ void arm_fir_init_f32(
+ arm_fir_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ int8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q15_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ q15_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ int8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q15;
+
+ /**
+ * @brief Instance structure for the Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q31_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ q31_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< Additional shift, in bits, applied to each output sample. */
+ } arm_biquad_casd_df1_inst_q31;
+
+ /**
+ * @brief Instance structure for the floating-point Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint32_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< Points to the array of state coefficients. The array is of length 4*numStages. */
+ float32_t *pCoeffs; /**< Points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_casd_df1_inst_f32;
+
+
+ /**
+ * @brief Processing function for the Q15 Biquad cascade filter.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q15(
+ arm_biquad_casd_df1_inst_q15 * S,
+ uint8_t numStages,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ int8_t postShift);
+
+
+ /**
+ * @brief Fast but less precise processing function for the Q15 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q15(
+ const arm_biquad_casd_df1_inst_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 Biquad cascade filter
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fast but less precise processing function for the Q31 Biquad cascade filter for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_fast_q31(
+ const arm_biquad_casd_df1_inst_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 Biquad cascade filter.
+ * @param[in,out] S points to an instance of the Q31 Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift Shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cascade_df1_init_q31(
+ arm_biquad_casd_df1_inst_q31 * S,
+ uint8_t numStages,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ int8_t postShift);
+
+
+ /**
+ * @brief Processing function for the floating-point Biquad cascade filter.
+ * @param[in] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df1_f32(
+ const arm_biquad_casd_df1_inst_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point Biquad cascade filter.
+ * @param[in,out] S points to an instance of the floating-point Biquad cascade structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df1_init_f32(
+ arm_biquad_casd_df1_inst_f32 * S,
+ uint8_t numStages,
+ float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float32_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f32;
+
+
+ /**
+ * @brief Instance structure for the floating-point matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ float64_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_f64;
+
+ /**
+ * @brief Instance structure for the Q15 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q15_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 matrix structure.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows of the matrix. */
+ uint16_t numCols; /**< number of columns of the matrix. */
+ q31_t *pData; /**< points to the data of the matrix. */
+ } arm_matrix_instance_q31;
+
+
+ /**
+ * @brief Floating-point matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_add_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_add_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+
+ /**
+ * @brief Q31 matrix addition.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_add_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Floating-point, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_cmplx_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_cmplx_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pScratch);
+
+
+ /**
+ * @brief Q31, complex, matrix multiplication.
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_cmplx_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Floating-point matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_trans_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_trans_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ arm_matrix_instance_q15 * pDst);
+
+
+ /**
+ * @brief Q31 matrix transpose.
+ * @param[in] pSrc points to the input matrix
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either ARM_MATH_SIZE_MISMATCH
+ * or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_trans_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Floating-point matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_mult_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_mult_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+
+ /**
+ * @brief Q15 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @param[in] pState points to the array for storing intermediate results
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_mult_fast_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst,
+ q15_t * pState);
+
+
+ /**
+ * @brief Q31 matrix multiplication
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_mult_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Q31 matrix multiplication (fast variant) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_mult_fast_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Floating-point matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_sub_f32(
+ const arm_matrix_instance_f32 * pSrcA,
+ const arm_matrix_instance_f32 * pSrcB,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_sub_q15(
+ const arm_matrix_instance_q15 * pSrcA,
+ const arm_matrix_instance_q15 * pSrcB,
+ arm_matrix_instance_q15 * pDst);
+
+
+ /**
+ * @brief Q31 matrix subtraction
+ * @param[in] pSrcA points to the first input matrix structure
+ * @param[in] pSrcB points to the second input matrix structure
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_sub_q31(
+ const arm_matrix_instance_q31 * pSrcA,
+ const arm_matrix_instance_q31 * pSrcB,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Floating-point matrix scaling.
+ * @param[in] pSrc points to the input matrix
+ * @param[in] scale scale factor
+ * @param[out] pDst points to the output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_scale_f32(
+ const arm_matrix_instance_f32 * pSrc,
+ float32_t scale,
+ arm_matrix_instance_f32 * pDst);
+
+
+ /**
+ * @brief Q15 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_scale_q15(
+ const arm_matrix_instance_q15 * pSrc,
+ q15_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q15 * pDst);
+
+
+ /**
+ * @brief Q31 matrix scaling.
+ * @param[in] pSrc points to input matrix
+ * @param[in] scaleFract fractional portion of the scale factor
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to output matrix structure
+ * @return The function returns either
+ * ARM_MATH_SIZE_MISMATCH or ARM_MATH_SUCCESS based on the outcome of size checking.
+ */
+ arm_status arm_mat_scale_q31(
+ const arm_matrix_instance_q31 * pSrc,
+ q31_t scaleFract,
+ int32_t shift,
+ arm_matrix_instance_q31 * pDst);
+
+
+ /**
+ * @brief Q31 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+ void arm_mat_init_q31(
+ arm_matrix_instance_q31 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q31_t * pData);
+
+
+ /**
+ * @brief Q15 matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+ void arm_mat_init_q15(
+ arm_matrix_instance_q15 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ q15_t * pData);
+
+
+ /**
+ * @brief Floating-point matrix initialization.
+ * @param[in,out] S points to an instance of the floating-point matrix structure.
+ * @param[in] nRows number of rows in the matrix.
+ * @param[in] nColumns number of columns in the matrix.
+ * @param[in] pData points to the matrix data array.
+ */
+ void arm_mat_init_f32(
+ arm_matrix_instance_f32 * S,
+ uint16_t nRows,
+ uint16_t nColumns,
+ float32_t * pData);
+
+
+
+ /**
+ * @brief Instance structure for the Q15 PID Control.
+ */
+ typedef struct
+ {
+ q15_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+#if !defined (ARM_MATH_DSP)
+ q15_t A1;
+ q15_t A2;
+#else
+ q31_t A1; /**< The derived gain A1 = -Kp - 2Kd | Kd.*/
+#endif
+ q15_t state[3]; /**< The state array of length 3. */
+ q15_t Kp; /**< The proportional gain. */
+ q15_t Ki; /**< The integral gain. */
+ q15_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 PID Control.
+ */
+ typedef struct
+ {
+ q31_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+ q31_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */
+ q31_t A2; /**< The derived gain, A2 = Kd . */
+ q31_t state[3]; /**< The state array of length 3. */
+ q31_t Kp; /**< The proportional gain. */
+ q31_t Ki; /**< The integral gain. */
+ q31_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point PID Control.
+ */
+ typedef struct
+ {
+ float32_t A0; /**< The derived gain, A0 = Kp + Ki + Kd . */
+ float32_t A1; /**< The derived gain, A1 = -Kp - 2Kd. */
+ float32_t A2; /**< The derived gain, A2 = Kd . */
+ float32_t state[3]; /**< The state array of length 3. */
+ float32_t Kp; /**< The proportional gain. */
+ float32_t Ki; /**< The integral gain. */
+ float32_t Kd; /**< The derivative gain. */
+ } arm_pid_instance_f32;
+
+
+
+ /**
+ * @brief Initialization function for the floating-point PID Control.
+ * @param[in,out] S points to an instance of the PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_f32(
+ arm_pid_instance_f32 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the floating-point PID Control.
+ * @param[in,out] S is an instance of the floating-point PID Control structure
+ */
+ void arm_pid_reset_f32(
+ arm_pid_instance_f32 * S);
+
+
+ /**
+ * @brief Initialization function for the Q31 PID Control.
+ * @param[in,out] S points to an instance of the Q15 PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_q31(
+ arm_pid_instance_q31 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the Q31 PID Control.
+ * @param[in,out] S points to an instance of the Q31 PID Control structure
+ */
+
+ void arm_pid_reset_q31(
+ arm_pid_instance_q31 * S);
+
+
+ /**
+ * @brief Initialization function for the Q15 PID Control.
+ * @param[in,out] S points to an instance of the Q15 PID structure.
+ * @param[in] resetStateFlag flag to reset the state. 0 = no change in state 1 = reset the state.
+ */
+ void arm_pid_init_q15(
+ arm_pid_instance_q15 * S,
+ int32_t resetStateFlag);
+
+
+ /**
+ * @brief Reset function for the Q15 PID Control.
+ * @param[in,out] S points to an instance of the q15 PID Control structure
+ */
+ void arm_pid_reset_q15(
+ arm_pid_instance_q15 * S);
+
+
+ /**
+ * @brief Instance structure for the floating-point Linear Interpolate function.
+ */
+ typedef struct
+ {
+ uint32_t nValues; /**< nValues */
+ float32_t x1; /**< x1 */
+ float32_t xSpacing; /**< xSpacing */
+ float32_t *pYData; /**< pointer to the table of Y values */
+ } arm_linear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ float32_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q31_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q15_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q15 bilinear interpolation function.
+ */
+ typedef struct
+ {
+ uint16_t numRows; /**< number of rows in the data table. */
+ uint16_t numCols; /**< number of columns in the data table. */
+ q7_t *pData; /**< points to the data table. */
+ } arm_bilinear_interp_instance_q7;
+
+
+ /**
+ * @brief Q7 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q7(
+ q7_t * pSrcA,
+ q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector multiplication.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_mult_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ q15_t *pTwiddle; /**< points to the Sin twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q15(
+ arm_cfft_radix2_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q15(
+ const arm_cfft_radix2_instance_q15 * S,
+ q15_t * pSrc);
+
+
+ /**
+ * @brief Instance structure for the Q15 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q15;
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q15(
+ arm_cfft_radix4_instance_q15 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_q15(
+ const arm_cfft_radix4_instance_q15 * S,
+ q15_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Radix-2 Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix2_instance_q31;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_q31(
+ arm_cfft_radix2_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_q31(
+ const arm_cfft_radix2_instance_q31 * S,
+ q31_t * pSrc);
+
+ /**
+ * @brief Instance structure for the Q31 CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ } arm_cfft_radix4_instance_q31;
+
+/* Deprecated */
+ void arm_cfft_radix4_q31(
+ const arm_cfft_radix4_instance_q31 * S,
+ q31_t * pSrc);
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_q31(
+ arm_cfft_radix4_instance_q31 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix2_instance_f32;
+
+/* Deprecated */
+ arm_status arm_cfft_radix2_init_f32(
+ arm_cfft_radix2_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix2_f32(
+ const arm_cfft_radix2_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ uint8_t ifftFlag; /**< flag that selects forward (ifftFlag=0) or inverse (ifftFlag=1) transform. */
+ uint8_t bitReverseFlag; /**< flag that enables (bitReverseFlag=1) or disables (bitReverseFlag=0) bit reversal of output. */
+ float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t twidCoefModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ uint16_t bitRevFactor; /**< bit reversal modifier that supports different size FFTs with the same bit reversal table. */
+ float32_t onebyfftLen; /**< value of 1/fftLen. */
+ } arm_cfft_radix4_instance_f32;
+
+/* Deprecated */
+ arm_status arm_cfft_radix4_init_f32(
+ arm_cfft_radix4_instance_f32 * S,
+ uint16_t fftLen,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+/* Deprecated */
+ void arm_cfft_radix4_f32(
+ const arm_cfft_radix4_instance_f32 * S,
+ float32_t * pSrc);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q15_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+ } arm_cfft_instance_q15;
+
+void arm_cfft_q15(
+ const arm_cfft_instance_q15 * S,
+ q15_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the fixed-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const q31_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+ } arm_cfft_instance_q31;
+
+void arm_cfft_q31(
+ const arm_cfft_instance_q31 * S,
+ q31_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the floating-point CFFT/CIFFT function.
+ */
+ typedef struct
+ {
+ uint16_t fftLen; /**< length of the FFT. */
+ const float32_t *pTwiddle; /**< points to the Twiddle factor table. */
+ const uint16_t *pBitRevTable; /**< points to the bit reversal table. */
+ uint16_t bitRevLength; /**< bit reversal table length. */
+ } arm_cfft_instance_f32;
+
+ void arm_cfft_f32(
+ const arm_cfft_instance_f32 * S,
+ float32_t * p1,
+ uint8_t ifftFlag,
+ uint8_t bitReverseFlag);
+
+ /**
+ * @brief Instance structure for the Q15 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ q15_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ q15_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+ const arm_cfft_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+ } arm_rfft_instance_q15;
+
+ arm_status arm_rfft_init_q15(
+ arm_rfft_instance_q15 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q15(
+ const arm_rfft_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst);
+
+ /**
+ * @brief Instance structure for the Q31 RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ q31_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ q31_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+ const arm_cfft_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+ } arm_rfft_instance_q31;
+
+ arm_status arm_rfft_init_q31(
+ arm_rfft_instance_q31 * S,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_q31(
+ const arm_rfft_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst);
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+ typedef struct
+ {
+ uint32_t fftLenReal; /**< length of the real FFT. */
+ uint16_t fftLenBy2; /**< length of the complex FFT. */
+ uint8_t ifftFlagR; /**< flag that selects forward (ifftFlagR=0) or inverse (ifftFlagR=1) transform. */
+ uint8_t bitReverseFlagR; /**< flag that enables (bitReverseFlagR=1) or disables (bitReverseFlagR=0) bit reversal of output. */
+ uint32_t twidCoefRModifier; /**< twiddle coefficient modifier that supports different size FFTs with the same twiddle factor table. */
+ float32_t *pTwiddleAReal; /**< points to the real twiddle factor table. */
+ float32_t *pTwiddleBReal; /**< points to the imag twiddle factor table. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_rfft_instance_f32;
+
+ arm_status arm_rfft_init_f32(
+ arm_rfft_instance_f32 * S,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint32_t fftLenReal,
+ uint32_t ifftFlagR,
+ uint32_t bitReverseFlag);
+
+ void arm_rfft_f32(
+ const arm_rfft_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst);
+
+ /**
+ * @brief Instance structure for the floating-point RFFT/RIFFT function.
+ */
+typedef struct
+ {
+ arm_cfft_instance_f32 Sint; /**< Internal CFFT structure. */
+ uint16_t fftLenRFFT; /**< length of the real sequence */
+ float32_t * pTwiddleRFFT; /**< Twiddle factors real stage */
+ } arm_rfft_fast_instance_f32 ;
+
+arm_status arm_rfft_fast_init_f32 (
+ arm_rfft_fast_instance_f32 * S,
+ uint16_t fftLen);
+
+void arm_rfft_fast_f32(
+ arm_rfft_fast_instance_f32 * S,
+ float32_t * p, float32_t * pOut,
+ uint8_t ifftFlag);
+
+ /**
+ * @brief Instance structure for the floating-point DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ float32_t normalize; /**< normalizing factor. */
+ float32_t *pTwiddle; /**< points to the twiddle factor table. */
+ float32_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_f32 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_f32 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the floating-point DCT4/IDCT4.
+ * @param[in,out] S points to an instance of floating-point DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of floating-point RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of floating-point CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if fftLenReal is not a supported transform length.
+ */
+ arm_status arm_dct4_init_f32(
+ arm_dct4_instance_f32 * S,
+ arm_rfft_instance_f32 * S_RFFT,
+ arm_cfft_radix4_instance_f32 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ float32_t normalize);
+
+
+ /**
+ * @brief Processing function for the floating-point DCT4/IDCT4.
+ * @param[in] S points to an instance of the floating-point DCT4/IDCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_f32(
+ const arm_dct4_instance_f32 * S,
+ float32_t * pState,
+ float32_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q31 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q31_t normalize; /**< normalizing factor. */
+ q31_t *pTwiddle; /**< points to the twiddle factor table. */
+ q31_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q31 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q31 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q31;
+
+
+ /**
+ * @brief Initialization function for the Q31 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q31 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q31 RFFT/RIFFT structure
+ * @param[in] S_CFFT points to an instance of Q31 CFFT/CIFFT structure
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q31(
+ arm_dct4_instance_q31 * S,
+ arm_rfft_instance_q31 * S_RFFT,
+ arm_cfft_radix4_instance_q31 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q31_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q31 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q31 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q31(
+ const arm_dct4_instance_q31 * S,
+ q31_t * pState,
+ q31_t * pInlineBuffer);
+
+
+ /**
+ * @brief Instance structure for the Q15 DCT4/IDCT4 function.
+ */
+ typedef struct
+ {
+ uint16_t N; /**< length of the DCT4. */
+ uint16_t Nby2; /**< half of the length of the DCT4. */
+ q15_t normalize; /**< normalizing factor. */
+ q15_t *pTwiddle; /**< points to the twiddle factor table. */
+ q15_t *pCosFactor; /**< points to the cosFactor table. */
+ arm_rfft_instance_q15 *pRfft; /**< points to the real FFT instance. */
+ arm_cfft_radix4_instance_q15 *pCfft; /**< points to the complex FFT instance. */
+ } arm_dct4_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 DCT4/IDCT4.
+ * @param[in,out] S points to an instance of Q15 DCT4/IDCT4 structure.
+ * @param[in] S_RFFT points to an instance of Q15 RFFT/RIFFT structure.
+ * @param[in] S_CFFT points to an instance of Q15 CFFT/CIFFT structure.
+ * @param[in] N length of the DCT4.
+ * @param[in] Nby2 half of the length of the DCT4.
+ * @param[in] normalize normalizing factor.
+ * @return arm_status function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_ARGUMENT_ERROR if N is not a supported transform length.
+ */
+ arm_status arm_dct4_init_q15(
+ arm_dct4_instance_q15 * S,
+ arm_rfft_instance_q15 * S_RFFT,
+ arm_cfft_radix4_instance_q15 * S_CFFT,
+ uint16_t N,
+ uint16_t Nby2,
+ q15_t normalize);
+
+
+ /**
+ * @brief Processing function for the Q15 DCT4/IDCT4.
+ * @param[in] S points to an instance of the Q15 DCT4 structure.
+ * @param[in] pState points to state buffer.
+ * @param[in,out] pInlineBuffer points to the in-place input and output buffer.
+ */
+ void arm_dct4_q15(
+ const arm_dct4_instance_q15 * S,
+ q15_t * pState,
+ q15_t * pInlineBuffer);
+
+
+ /**
+ * @brief Floating-point vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q7(
+ q7_t * pSrcA,
+ q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector addition.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_add_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q7(
+ q7_t * pSrcA,
+ q7_t * pSrcB,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector subtraction.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_sub_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a floating-point vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scale scale factor to be applied
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_f32(
+ float32_t * pSrc,
+ float32_t scale,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q7 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q7(
+ q7_t * pSrc,
+ q7_t scaleFract,
+ int8_t shift,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q15 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q15(
+ q15_t * pSrc,
+ q15_t scaleFract,
+ int8_t shift,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Multiplies a Q31 vector by a scalar.
+ * @param[in] pSrc points to the input vector
+ * @param[in] scaleFract fractional portion of the scale value
+ * @param[in] shift number of bits to shift the result by
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_scale_q31(
+ q31_t * pSrc,
+ q31_t scaleFract,
+ int8_t shift,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q7 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q7(
+ q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q15 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Q31 vector absolute value.
+ * @param[in] pSrc points to the input buffer
+ * @param[out] pDst points to the output buffer
+ * @param[in] blockSize number of samples in each vector
+ */
+ void arm_abs_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Dot product of floating-point vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ uint32_t blockSize,
+ float32_t * result);
+
+
+ /**
+ * @brief Dot product of Q7 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q7(
+ q7_t * pSrcA,
+ q7_t * pSrcB,
+ uint32_t blockSize,
+ q31_t * result);
+
+
+ /**
+ * @brief Dot product of Q15 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ uint32_t blockSize,
+ q63_t * result);
+
+
+ /**
+ * @brief Dot product of Q31 vectors.
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] blockSize number of samples in each vector
+ * @param[out] result output result returned here
+ */
+ void arm_dot_prod_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ uint32_t blockSize,
+ q63_t * result);
+
+
+ /**
+ * @brief Shifts the elements of a Q7 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q7(
+ q7_t * pSrc,
+ int8_t shiftBits,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Shifts the elements of a Q15 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q15(
+ q15_t * pSrc,
+ int8_t shiftBits,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Shifts the elements of a Q31 vector a specified number of bits.
+ * @param[in] pSrc points to the input vector
+ * @param[in] shiftBits number of bits to shift. A positive value shifts left; a negative value shifts right.
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_shift_q31(
+ q31_t * pSrc,
+ int8_t shiftBits,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a floating-point vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_f32(
+ float32_t * pSrc,
+ float32_t offset,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q7 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q7(
+ q7_t * pSrc,
+ q7_t offset,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q15 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q15(
+ q15_t * pSrc,
+ q15_t offset,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Adds a constant offset to a Q31 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[in] offset is the offset to be added
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_offset_q31(
+ q31_t * pSrc,
+ q31_t offset,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a floating-point vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q7 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q7(
+ q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q15 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Negates the elements of a Q31 vector.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] blockSize number of samples in the vector
+ */
+ void arm_negate_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a floating-point vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q7 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q7(
+ q7_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Copies the elements of a Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_copy_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a floating-point vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_f32(
+ float32_t value,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q7 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q7(
+ q7_t value,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q15 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q15(
+ q15_t value,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Fills a constant value into a Q31 vector.
+ * @param[in] value input value to be filled
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_fill_q31(
+ q31_t value,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_f32(
+ float32_t * pSrcA,
+ uint32_t srcALen,
+ float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the location where the output result is written. Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ */
+ void arm_conv_fast_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_fast_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_conv_opt_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length srcALen+srcBLen-1.
+ */
+ void arm_conv_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Partial convolution of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_f32(
+ float32_t * pSrcA,
+ uint32_t srcALen,
+ float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_fast_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Partial convolution of Q7 sequences
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_opt_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+/**
+ * @brief Partial convolution of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data
+ * @param[in] firstIndex is the first output sample to start with.
+ * @param[in] numPoints is the number of output points to be computed.
+ * @return Returns either ARM_MATH_SUCCESS if the function completed correctly or ARM_MATH_ARGUMENT_ERROR if the requested subset is not in the range [0 srcALen+srcBLen-2].
+ */
+ arm_status arm_conv_partial_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ uint32_t firstIndex,
+ uint32_t numPoints);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR decimator.
+ */
+ typedef struct
+ {
+ uint8_t M; /**< decimation factor. */
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ } arm_fir_decimate_instance_f32;
+
+
+ /**
+ * @brief Processing function for the floating-point FIR decimator.
+ * @param[in] S points to an instance of the floating-point FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_f32(
+ const arm_fir_decimate_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point FIR decimator.
+ * @param[in,out] S points to an instance of the floating-point FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_f32(
+ arm_fir_decimate_instance_f32 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q15(
+ const arm_fir_decimate_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR decimator.
+ * @param[in,out] S points to an instance of the Q15 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q15(
+ arm_fir_decimate_instance_q15 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_q31(
+ const arm_fir_decimate_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @brief Processing function for the Q31 FIR decimator (fast variant) for Cortex-M3 and Cortex-M4.
+ * @param[in] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_decimate_fast_q31(
+ arm_fir_decimate_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR decimator.
+ * @param[in,out] S points to an instance of the Q31 FIR decimator structure.
+ * @param[in] numTaps number of coefficients in the filter.
+ * @param[in] M decimation factor.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * blockSize is not a multiple of M.
+ */
+ arm_status arm_fir_decimate_init_q31(
+ arm_fir_decimate_instance_q31 * S,
+ uint16_t numTaps,
+ uint8_t M,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q15_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ q31_t *pState; /**< points to the state variable array. The array is of length blockSize+phaseLength-1. */
+ } arm_fir_interpolate_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR interpolator.
+ */
+ typedef struct
+ {
+ uint8_t L; /**< upsample factor. */
+ uint16_t phaseLength; /**< length of each polyphase filter component. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length L*phaseLength. */
+ float32_t *pState; /**< points to the state variable array. The array is of length phaseLength+numTaps-1. */
+ } arm_fir_interpolate_instance_f32;
+
+
+ /**
+ * @brief Processing function for the Q15 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q15(
+ const arm_fir_interpolate_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q15(
+ arm_fir_interpolate_instance_q15 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR interpolator.
+ * @param[in] S points to an instance of the Q15 FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_q31(
+ const arm_fir_interpolate_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR interpolator.
+ * @param[in,out] S points to an instance of the Q31 FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_q31(
+ arm_fir_interpolate_instance_q31 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR interpolator.
+ * @param[in] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_interpolate_f32(
+ const arm_fir_interpolate_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point FIR interpolator.
+ * @param[in,out] S points to an instance of the floating-point FIR interpolator structure.
+ * @param[in] L upsample factor.
+ * @param[in] numTaps number of filter coefficients in the filter.
+ * @param[in] pCoeffs points to the filter coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] blockSize number of input samples to process per call.
+ * @return The function returns ARM_MATH_SUCCESS if initialization is successful or ARM_MATH_LENGTH_ERROR if
+ * the filter length numTaps is not a multiple of the interpolation factor L.
+ */
+ arm_status arm_fir_interpolate_init_f32(
+ arm_fir_interpolate_instance_f32 * S,
+ uint8_t L,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the high precision Q31 Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ q63_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ q31_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ uint8_t postShift; /**< additional shift, in bits, applied to each output sample. */
+ } arm_biquad_cas_df1_32x64_ins_q31;
+
+
+ /**
+ * @param[in] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cas_df1_32x64_q31(
+ const arm_biquad_cas_df1_32x64_ins_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @param[in,out] S points to an instance of the high precision Q31 Biquad cascade filter structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] postShift shift to be applied to the output. Varies according to the coefficients format
+ */
+ void arm_biquad_cas_df1_32x64_init_q31(
+ arm_biquad_cas_df1_32x64_ins_q31 * S,
+ uint8_t numStages,
+ q31_t * pCoeffs,
+ q63_t * pState,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float32_t *pState; /**< points to the array of state coefficients. The array is of length 4*numStages. */
+ float32_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_stereo_df2T_instance_f32;
+
+ /**
+ * @brief Instance structure for the floating-point transposed direct form II Biquad cascade filter.
+ */
+ typedef struct
+ {
+ uint8_t numStages; /**< number of 2nd order stages in the filter. Overall order is 2*numStages. */
+ float64_t *pState; /**< points to the array of state coefficients. The array is of length 2*numStages. */
+ float64_t *pCoeffs; /**< points to the array of coefficients. The array is of length 5*numStages. */
+ } arm_biquad_cascade_df2T_instance_f64;
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f32(
+ const arm_biquad_cascade_df2T_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter. 2 channels
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_stereo_df2T_f32(
+ const arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in] S points to an instance of the filter data structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_biquad_cascade_df2T_f64(
+ const arm_biquad_cascade_df2T_instance_f64 * S,
+ float64_t * pSrc,
+ float64_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f32(
+ arm_biquad_cascade_df2T_instance_f32 * S,
+ uint8_t numStages,
+ float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_stereo_df2T_init_f32(
+ arm_biquad_cascade_stereo_df2T_instance_f32 * S,
+ uint8_t numStages,
+ float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Initialization function for the floating-point transposed direct form II Biquad cascade filter.
+ * @param[in,out] S points to an instance of the filter data structure.
+ * @param[in] numStages number of 2nd order stages in the filter.
+ * @param[in] pCoeffs points to the filter coefficients.
+ * @param[in] pState points to the state buffer.
+ */
+ void arm_biquad_cascade_df2T_init_f64(
+ arm_biquad_cascade_df2T_instance_f64 * S,
+ uint8_t numStages,
+ float64_t * pCoeffs,
+ float64_t * pState);
+
+
+ /**
+ * @brief Instance structure for the Q15 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point FIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of filter stages. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numStages. */
+ } arm_fir_lattice_instance_f32;
+
+
+ /**
+ * @brief Initialization function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q15(
+ arm_fir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pCoeffs,
+ q15_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q15 FIR lattice filter.
+ * @param[in] S points to an instance of the Q15 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q15(
+ const arm_fir_lattice_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_q31(
+ arm_fir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pCoeffs,
+ q31_t * pState);
+
+
+ /**
+ * @brief Processing function for the Q31 FIR lattice filter.
+ * @param[in] S points to an instance of the Q31 FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_q31(
+ const arm_fir_lattice_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] numStages number of filter stages.
+ * @param[in] pCoeffs points to the coefficient buffer. The array is of length numStages.
+ * @param[in] pState points to the state buffer. The array is of length numStages.
+ */
+ void arm_fir_lattice_init_f32(
+ arm_fir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pCoeffs,
+ float32_t * pState);
+
+
+ /**
+ * @brief Processing function for the floating-point FIR lattice filter.
+ * @param[in] S points to an instance of the floating-point FIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_fir_lattice_f32(
+ const arm_fir_lattice_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q15_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q15_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q31 IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ q31_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ q31_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_q31;
+
+ /**
+ * @brief Instance structure for the floating-point IIR lattice filter.
+ */
+ typedef struct
+ {
+ uint16_t numStages; /**< number of stages in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numStages+blockSize. */
+ float32_t *pkCoeffs; /**< points to the reflection coefficient array. The array is of length numStages. */
+ float32_t *pvCoeffs; /**< points to the ladder coefficient array. The array is of length numStages+1. */
+ } arm_iir_lattice_instance_f32;
+
+
+ /**
+ * @brief Processing function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_f32(
+ const arm_iir_lattice_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point IIR lattice filter.
+ * @param[in] S points to an instance of the floating-point IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize-1.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_f32(
+ arm_iir_lattice_instance_f32 * S,
+ uint16_t numStages,
+ float32_t * pkCoeffs,
+ float32_t * pvCoeffs,
+ float32_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q31(
+ const arm_iir_lattice_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 IIR lattice filter.
+ * @param[in] S points to an instance of the Q31 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to the reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to the ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to the state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_init_q31(
+ arm_iir_lattice_instance_q31 * S,
+ uint16_t numStages,
+ q31_t * pkCoeffs,
+ q31_t * pvCoeffs,
+ q31_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the Q15 IIR lattice structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_iir_lattice_q15(
+ const arm_iir_lattice_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+/**
+ * @brief Initialization function for the Q15 IIR lattice filter.
+ * @param[in] S points to an instance of the fixed-point Q15 IIR lattice structure.
+ * @param[in] numStages number of stages in the filter.
+ * @param[in] pkCoeffs points to reflection coefficient buffer. The array is of length numStages.
+ * @param[in] pvCoeffs points to ladder coefficient buffer. The array is of length numStages+1.
+ * @param[in] pState points to state buffer. The array is of length numStages+blockSize.
+ * @param[in] blockSize number of samples to process per call.
+ */
+ void arm_iir_lattice_init_q15(
+ arm_iir_lattice_instance_q15 * S,
+ uint16_t numStages,
+ q15_t * pkCoeffs,
+ q15_t * pvCoeffs,
+ q15_t * pState,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the floating-point LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that controls filter coefficient updates. */
+ } arm_lms_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_f32(
+ const arm_lms_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_init_f32(
+ arm_lms_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q15 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q15;
+
+
+ /**
+ * @brief Initialization function for the Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to the coefficient buffer.
+ * @param[in] pState points to the state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q15(
+ arm_lms_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Processing function for Q15 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q15(
+ const arm_lms_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint32_t postShift; /**< bit shift applied to coefficients. */
+ } arm_lms_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q15 LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_q31(
+ const arm_lms_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 LMS filter.
+ * @param[in] S points to an instance of the Q31 LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_init_q31(
+ arm_lms_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint32_t postShift);
+
+
+ /**
+ * @brief Instance structure for the floating-point normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ float32_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ float32_t mu; /**< step size that control filter coefficient updates. */
+ float32_t energy; /**< saves previous frame energy. */
+ float32_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_f32;
+
+
+ /**
+ * @brief Processing function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_f32(
+ arm_lms_norm_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pRef,
+ float32_t * pOut,
+ float32_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for floating-point normalized LMS filter.
+ * @param[in] S points to an instance of the floating-point LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_init_f32(
+ arm_lms_norm_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ float32_t mu,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Instance structure for the Q31 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ q31_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q31_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ q31_t *recipTable; /**< points to the reciprocal initial value table. */
+ q31_t energy; /**< saves previous frame energy. */
+ q31_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q31;
+
+
+ /**
+ * @brief Processing function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q31(
+ arm_lms_norm_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pRef,
+ q31_t * pOut,
+ q31_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q31 normalized LMS filter.
+ * @param[in] S points to an instance of the Q31 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q31(
+ arm_lms_norm_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ q31_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Instance structure for the Q15 normalized LMS filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< Number of coefficients in the filter. */
+ q15_t *pState; /**< points to the state variable array. The array is of length numTaps+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps. */
+ q15_t mu; /**< step size that controls filter coefficient updates. */
+ uint8_t postShift; /**< bit shift applied to coefficients. */
+ q15_t *recipTable; /**< Points to the reciprocal initial value table. */
+ q15_t energy; /**< saves previous frame energy. */
+ q15_t x0; /**< saves previous input sample. */
+ } arm_lms_norm_instance_q15;
+
+
+ /**
+ * @brief Processing function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[in] pRef points to the block of reference data.
+ * @param[out] pOut points to the block of output data.
+ * @param[out] pErr points to the block of error data.
+ * @param[in] blockSize number of samples to process.
+ */
+ void arm_lms_norm_q15(
+ arm_lms_norm_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pRef,
+ q15_t * pOut,
+ q15_t * pErr,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for Q15 normalized LMS filter.
+ * @param[in] S points to an instance of the Q15 normalized LMS filter structure.
+ * @param[in] numTaps number of filter coefficients.
+ * @param[in] pCoeffs points to coefficient buffer.
+ * @param[in] pState points to state buffer.
+ * @param[in] mu step size that controls filter coefficient updates.
+ * @param[in] blockSize number of samples to process.
+ * @param[in] postShift bit shift applied to coefficients.
+ */
+ void arm_lms_norm_init_q15(
+ arm_lms_norm_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ q15_t mu,
+ uint32_t blockSize,
+ uint8_t postShift);
+
+
+ /**
+ * @brief Correlation of floating-point sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_f32(
+ float32_t * pSrcA,
+ uint32_t srcALen,
+ float32_t * pSrcB,
+ uint32_t srcBLen,
+ float32_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q15 sequences
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ * @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ */
+ void arm_correlate_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+ /**
+ * @brief Correlation of Q15 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+
+ void arm_correlate_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+
+ void arm_correlate_fast_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q15 sequences (fast version) for Cortex-M3 and Cortex-M4.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ * @param[in] pScratch points to scratch buffer of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ */
+ void arm_correlate_fast_opt_q15(
+ q15_t * pSrcA,
+ uint32_t srcALen,
+ q15_t * pSrcB,
+ uint32_t srcBLen,
+ q15_t * pDst,
+ q15_t * pScratch);
+
+
+ /**
+ * @brief Correlation of Q31 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q31 sequences (fast version) for Cortex-M3 and Cortex-M4
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_fast_q31(
+ q31_t * pSrcA,
+ uint32_t srcALen,
+ q31_t * pSrcB,
+ uint32_t srcBLen,
+ q31_t * pDst);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ * @param[in] pScratch1 points to scratch buffer(of type q15_t) of size max(srcALen, srcBLen) + 2*min(srcALen, srcBLen) - 2.
+ * @param[in] pScratch2 points to scratch buffer (of type q15_t) of size min(srcALen, srcBLen).
+ */
+ void arm_correlate_opt_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst,
+ q15_t * pScratch1,
+ q15_t * pScratch2);
+
+
+ /**
+ * @brief Correlation of Q7 sequences.
+ * @param[in] pSrcA points to the first input sequence.
+ * @param[in] srcALen length of the first input sequence.
+ * @param[in] pSrcB points to the second input sequence.
+ * @param[in] srcBLen length of the second input sequence.
+ * @param[out] pDst points to the block of output data Length 2 * max(srcALen, srcBLen) - 1.
+ */
+ void arm_correlate_q7(
+ q7_t * pSrcA,
+ uint32_t srcALen,
+ q7_t * pSrcB,
+ uint32_t srcBLen,
+ q7_t * pDst);
+
+
+ /**
+ * @brief Instance structure for the floating-point sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ float32_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ float32_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_f32;
+
+ /**
+ * @brief Instance structure for the Q31 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q31_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ q31_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q31;
+
+ /**
+ * @brief Instance structure for the Q15 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q15_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ q15_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q15;
+
+ /**
+ * @brief Instance structure for the Q7 sparse FIR filter.
+ */
+ typedef struct
+ {
+ uint16_t numTaps; /**< number of coefficients in the filter. */
+ uint16_t stateIndex; /**< state buffer index. Points to the oldest sample in the state buffer. */
+ q7_t *pState; /**< points to the state buffer array. The array is of length maxDelay+blockSize-1. */
+ q7_t *pCoeffs; /**< points to the coefficient array. The array is of length numTaps.*/
+ uint16_t maxDelay; /**< maximum offset specified by the pTapDelay array. */
+ int32_t *pTapDelay; /**< points to the array of delay values. The array is of length numTaps. */
+ } arm_fir_sparse_instance_q7;
+
+
+ /**
+ * @brief Processing function for the floating-point sparse FIR filter.
+ * @param[in] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_f32(
+ arm_fir_sparse_instance_f32 * S,
+ float32_t * pSrc,
+ float32_t * pDst,
+ float32_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the floating-point sparse FIR filter.
+ * @param[in,out] S points to an instance of the floating-point sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_f32(
+ arm_fir_sparse_instance_f32 * S,
+ uint16_t numTaps,
+ float32_t * pCoeffs,
+ float32_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q31 sparse FIR filter.
+ * @param[in] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q31(
+ arm_fir_sparse_instance_q31 * S,
+ q31_t * pSrc,
+ q31_t * pDst,
+ q31_t * pScratchIn,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q31 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q31 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q31(
+ arm_fir_sparse_instance_q31 * S,
+ uint16_t numTaps,
+ q31_t * pCoeffs,
+ q31_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q15 sparse FIR filter.
+ * @param[in] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q15(
+ arm_fir_sparse_instance_q15 * S,
+ q15_t * pSrc,
+ q15_t * pDst,
+ q15_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q15 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q15 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q15(
+ arm_fir_sparse_instance_q15 * S,
+ uint16_t numTaps,
+ q15_t * pCoeffs,
+ q15_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Processing function for the Q7 sparse FIR filter.
+ * @param[in] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] pSrc points to the block of input data.
+ * @param[out] pDst points to the block of output data
+ * @param[in] pScratchIn points to a temporary buffer of size blockSize.
+ * @param[in] pScratchOut points to a temporary buffer of size blockSize.
+ * @param[in] blockSize number of input samples to process per call.
+ */
+ void arm_fir_sparse_q7(
+ arm_fir_sparse_instance_q7 * S,
+ q7_t * pSrc,
+ q7_t * pDst,
+ q7_t * pScratchIn,
+ q31_t * pScratchOut,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Initialization function for the Q7 sparse FIR filter.
+ * @param[in,out] S points to an instance of the Q7 sparse FIR structure.
+ * @param[in] numTaps number of nonzero coefficients in the filter.
+ * @param[in] pCoeffs points to the array of filter coefficients.
+ * @param[in] pState points to the state buffer.
+ * @param[in] pTapDelay points to the array of offset times.
+ * @param[in] maxDelay maximum offset time supported.
+ * @param[in] blockSize number of samples that will be processed per block.
+ */
+ void arm_fir_sparse_init_q7(
+ arm_fir_sparse_instance_q7 * S,
+ uint16_t numTaps,
+ q7_t * pCoeffs,
+ q7_t * pState,
+ int32_t * pTapDelay,
+ uint16_t maxDelay,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Floating-point sin_cos function.
+ * @param[in] theta input value in degrees
+ * @param[out] pSinVal points to the processed sine output.
+ * @param[out] pCosVal points to the processed cos output.
+ */
+ void arm_sin_cos_f32(
+ float32_t theta,
+ float32_t * pSinVal,
+ float32_t * pCosVal);
+
+
+ /**
+ * @brief Q31 sin_cos function.
+ * @param[in] theta scaled input value in degrees
+ * @param[out] pSinVal points to the processed sine output.
+ * @param[out] pCosVal points to the processed cosine output.
+ */
+ void arm_sin_cos_q31(
+ q31_t theta,
+ q31_t * pSinVal,
+ q31_t * pCosVal);
+
+
+ /**
+ * @brief Floating-point complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+ /**
+ * @brief Q31 complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex conjugate.
+ * @param[in] pSrc points to the input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_conj_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex magnitude squared
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_squared_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup PID PID Motor Control
+ *
+ * A Proportional Integral Derivative (PID) controller is a generic feedback control
+ * loop mechanism widely used in industrial control systems.
+ * A PID controller is the most commonly used type of feedback controller.
+ *
+ * This set of functions implements (PID) controllers
+ * for Q15, Q31, and floating-point data types. The functions operate on a single sample
+ * of data and each call to the function returns a single processed value.
+ * S points to an instance of the PID control data structure. in
+ * is the input sample value. The functions return the output value.
+ *
+ * \par Algorithm:
+ *
+ *
+ * \par
+ * where \c Kp is proportional constant, \c Ki is Integral constant and \c Kd is Derivative constant
+ *
+ * \par
+ * \image html PID.gif "Proportional Integral Derivative Controller"
+ *
+ * \par
+ * The PID controller calculates an "error" value as the difference between
+ * the measured output and the reference input.
+ * The controller attempts to minimize the error by adjusting the process control inputs.
+ * The proportional value determines the reaction to the current error,
+ * the integral value determines the reaction based on the sum of recent errors,
+ * and the derivative value determines the reaction based on the rate at which the error has been changing.
+ *
+ * \par Instance Structure
+ * The Gains A0, A1, A2 and state variables for a PID controller are stored together in an instance data structure.
+ * A separate instance structure must be defined for each PID Controller.
+ * There are separate instance structure declarations for each of the 3 supported data types.
+ *
+ * \par Reset Functions
+ * There is also an associated reset function for each data type which clears the state array.
+ *
+ * \par Initialization Functions
+ * There is also an associated initialization function for each data type.
+ * The initialization function performs the following operations:
+ * - Initializes the Gains A0, A1, A2 from Kp,Ki, Kd gains.
+ * - Zeros out the values in the state buffer.
+ *
+ * \par
+ * Instance structure cannot be placed into a const data section and it is recommended to use the initialization function.
+ *
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the fixed-point versions of the PID Controller functions.
+ * In particular, the overflow and saturation behavior of the accumulator used in each function must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup PID
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point PID Control.
+ * @param[in,out] S is an instance of the floating-point PID Control structure
+ * @param[in] in input sample to process
+ * @return out processed output sample.
+ */
+ CMSIS_INLINE __STATIC_INLINE float32_t arm_pid_f32(
+ arm_pid_instance_f32 * S,
+ float32_t in)
+ {
+ float32_t out;
+
+ /* y[n] = y[n-1] + A0 * x[n] + A1 * x[n-1] + A2 * x[n-2] */
+ out = (S->A0 * in) +
+ (S->A1 * S->state[0]) + (S->A2 * S->state[1]) + (S->state[2]);
+
+ /* Update state */
+ S->state[1] = S->state[0];
+ S->state[0] = in;
+ S->state[2] = out;
+
+ /* return to application */
+ return (out);
+
+ }
+
+ /**
+ * @brief Process function for the Q31 PID Control.
+ * @param[in,out] S points to an instance of the Q31 PID Control structure
+ * @param[in] in input sample to process
+ * @return out processed output sample.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 64-bit accumulator.
+ * The accumulator has a 2.62 format and maintains full precision of the intermediate multiplication results but provides only a single guard bit.
+ * Thus, if the accumulator result overflows it wraps around rather than clip.
+ * In order to avoid overflows completely the input signal must be scaled down by 2 bits as there are four additions.
+ * After all multiply-accumulates are performed, the 2.62 accumulator is truncated to 1.32 format and then saturated to 1.31 format.
+ */
+ CMSIS_INLINE __STATIC_INLINE q31_t arm_pid_q31(
+ arm_pid_instance_q31 * S,
+ q31_t in)
+ {
+ q63_t acc;
+ q31_t out;
+
+ /* acc = A0 * x[n] */
+ acc = (q63_t) S->A0 * in;
+
+ /* acc += A1 * x[n-1] */
+ acc += (q63_t) S->A1 * S->state[0];
+
+ /* acc += A2 * x[n-2] */
+ acc += (q63_t) S->A2 * S->state[1];
+
+ /* convert output to 1.31 format to add y[n-1] */
+ out = (q31_t) (acc >> 31U);
+
+ /* out += y[n-1] */
+ out += S->state[2];
+
+ /* Update state */
+ S->state[1] = S->state[0];
+ S->state[0] = in;
+ S->state[2] = out;
+
+ /* return to application */
+ return (out);
+ }
+
+
+ /**
+ * @brief Process function for the Q15 PID Control.
+ * @param[in,out] S points to an instance of the Q15 PID Control structure
+ * @param[in] in input sample to process
+ * @return out processed output sample.
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using a 64-bit internal accumulator.
+ * Both Gains and state variables are represented in 1.15 format and multiplications yield a 2.30 result.
+ * The 2.30 intermediate results are accumulated in a 64-bit accumulator in 34.30 format.
+ * There is no risk of internal overflow with this approach and the full precision of intermediate multiplications is preserved.
+ * After all additions have been performed, the accumulator is truncated to 34.15 format by discarding low 15 bits.
+ * Lastly, the accumulator is saturated to yield a result in 1.15 format.
+ */
+ CMSIS_INLINE __STATIC_INLINE q15_t arm_pid_q15(
+ arm_pid_instance_q15 * S,
+ q15_t in)
+ {
+ q63_t acc;
+ q15_t out;
+
+#if defined (ARM_MATH_DSP)
+ __SIMD32_TYPE *vstate;
+
+ /* Implementation of PID controller */
+
+ /* acc = A0 * x[n] */
+ acc = (q31_t) __SMUAD((uint32_t)S->A0, (uint32_t)in);
+
+ /* acc += A1 * x[n-1] + A2 * x[n-2] */
+ vstate = __SIMD32_CONST(S->state);
+ acc = (q63_t)__SMLALD((uint32_t)S->A1, (uint32_t)*vstate, (uint64_t)acc);
+#else
+ /* acc = A0 * x[n] */
+ acc = ((q31_t) S->A0) * in;
+
+ /* acc += A1 * x[n-1] + A2 * x[n-2] */
+ acc += (q31_t) S->A1 * S->state[0];
+ acc += (q31_t) S->A2 * S->state[1];
+#endif
+
+ /* acc += y[n-1] */
+ acc += (q31_t) S->state[2] << 15;
+
+ /* saturate the output */
+ out = (q15_t) (__SSAT((acc >> 15), 16));
+
+ /* Update state */
+ S->state[1] = S->state[0];
+ S->state[0] = in;
+ S->state[2] = out;
+
+ /* return to application */
+ return (out);
+ }
+
+ /**
+ * @} end of PID group
+ */
+
+
+ /**
+ * @brief Floating-point matrix inverse.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+ */
+ arm_status arm_mat_inverse_f32(
+ const arm_matrix_instance_f32 * src,
+ arm_matrix_instance_f32 * dst);
+
+
+ /**
+ * @brief Floating-point matrix inverse.
+ * @param[in] src points to the instance of the input floating-point matrix structure.
+ * @param[out] dst points to the instance of the output floating-point matrix structure.
+ * @return The function returns ARM_MATH_SIZE_MISMATCH, if the dimensions do not match.
+ * If the input matrix is singular (does not have an inverse), then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
+ */
+ arm_status arm_mat_inverse_f64(
+ const arm_matrix_instance_f64 * src,
+ arm_matrix_instance_f64 * dst);
+
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup clarke Vector Clarke Transform
+ * Forward Clarke transform converts the instantaneous stator phases into a two-coordinate time invariant vector.
+ * Generally the Clarke transform uses three-phase currents Ia, Ib and Ic to calculate currents
+ * in the two-phase orthogonal stator axis Ialpha and Ibeta.
+ * When Ialpha is superposed with Ia as shown in the figure below
+ * \image html clarke.gif Stator current space vector and its components in (a,b).
+ * and Ia + Ib + Ic = 0, in this condition Ialpha and Ibeta
+ * can be calculated using only Ia and Ib.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeFormula.gif
+ * where Ia and Ib are the instantaneous stator phases and
+ * pIalpha and pIbeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup clarke
+ * @{
+ */
+
+ /**
+ *
+ * @brief Floating-point Clarke transform
+ * @param[in] Ia input three-phase coordinate a
+ * @param[in] Ib input three-phase coordinate b
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_clarke_f32(
+ float32_t Ia,
+ float32_t Ib,
+ float32_t * pIalpha,
+ float32_t * pIbeta)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Calculate pIbeta using the equation, pIbeta = (1/sqrt(3)) * Ia + (2/sqrt(3)) * Ib */
+ *pIbeta = ((float32_t) 0.57735026919 * Ia + (float32_t) 1.15470053838 * Ib);
+ }
+
+
+ /**
+ * @brief Clarke transform for Q31 version
+ * @param[in] Ia input three-phase coordinate a
+ * @param[in] Ib input three-phase coordinate b
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 32-bit accumulator.
+ * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ * There is saturation on the addition, hence there is no risk of overflow.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_clarke_q31(
+ q31_t Ia,
+ q31_t Ib,
+ q31_t * pIalpha,
+ q31_t * pIbeta)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIalpha from Ia by equation pIalpha = Ia */
+ *pIalpha = Ia;
+
+ /* Intermediate product is calculated by (1/(sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) Ia * 0x24F34E8B) >> 30);
+
+ /* Intermediate product is calculated by (2/sqrt(3) * Ib) */
+ product2 = (q31_t) (((q63_t) Ib * 0x49E69D16) >> 30);
+
+ /* pIbeta is calculated by adding the intermediate products */
+ *pIbeta = __QADD(product1, product2);
+ }
+
+ /**
+ * @} end of clarke group
+ */
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q31 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q31(
+ q7_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_clarke Vector Inverse Clarke Transform
+ * Inverse Clarke transform converts the two-coordinate time invariant vector into instantaneous stator phases.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html clarkeInvFormula.gif
+ * where pIa and pIb are the instantaneous stator phases and
+ * Ialpha and Ibeta are the two coordinates of time invariant vector.
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Clarke transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_clarke
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Clarke transform
+ * @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ * @param[in] Ibeta input two-phase orthogonal vector axis beta
+ * @param[out] pIa points to output three-phase coordinate a
+ * @param[out] pIb points to output three-phase coordinate b
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pIa,
+ float32_t * pIb)
+ {
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Calculating pIb from Ialpha and Ibeta by equation pIb = -(1/2) * Ialpha + (sqrt(3)/2) * Ibeta */
+ *pIb = -0.5f * Ialpha + 0.8660254039f * Ibeta;
+ }
+
+
+ /**
+ * @brief Inverse Clarke transform for Q31 version
+ * @param[in] Ialpha input two-phase orthogonal vector axis alpha
+ * @param[in] Ibeta input two-phase orthogonal vector axis beta
+ * @param[out] pIa points to output three-phase coordinate a
+ * @param[out] pIb points to output three-phase coordinate b
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 32-bit accumulator.
+ * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ * There is saturation on the subtraction, hence there is no risk of overflow.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_inv_clarke_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pIa,
+ q31_t * pIb)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+
+ /* Calculating pIa from Ialpha by equation pIa = Ialpha */
+ *pIa = Ialpha;
+
+ /* Intermediate product is calculated by (1/(2*sqrt(3)) * Ia) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (0x40000000)) >> 31);
+
+ /* Intermediate product is calculated by (1/sqrt(3) * pIb) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (0x6ED9EBA1)) >> 31);
+
+ /* pIb is calculated by subtracting the products */
+ *pIb = __QSUB(product2, product1);
+ }
+
+ /**
+ * @} end of inv_clarke group
+ */
+
+ /**
+ * @brief Converts the elements of the Q7 vector to Q15 vector.
+ * @param[in] pSrc input pointer
+ * @param[out] pDst output pointer
+ * @param[in] blockSize number of samples to process
+ */
+ void arm_q7_to_q15(
+ q7_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup park Vector Park Transform
+ *
+ * Forward Park transform converts the input two-coordinate vector to flux and torque components.
+ * The Park transform can be used to realize the transformation of the Ialpha and the Ibeta currents
+ * from the stationary to the moving reference frame and control the spatial relationship between
+ * the stator vector current and rotor flux vector.
+ * If we consider the d axis aligned with the rotor flux, the diagram below shows the
+ * current vector and the relationship from the two reference frames:
+ * \image html park.gif "Stator current space vector and its component in (a,b) and in the d,q rotating reference frame"
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkFormula.gif
+ * where Ialpha and Ibeta are the stator vector components,
+ * pId and pIq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Park transform
+ * @param[in] Ialpha input two-phase vector coordinate alpha
+ * @param[in] Ibeta input two-phase vector coordinate beta
+ * @param[out] pId points to output rotor reference frame d
+ * @param[out] pIq points to output rotor reference frame q
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ *
+ * The function implements the forward Park transform.
+ *
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_park_f32(
+ float32_t Ialpha,
+ float32_t Ibeta,
+ float32_t * pId,
+ float32_t * pIq,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pId using the equation, pId = Ialpha * cosVal + Ibeta * sinVal */
+ *pId = Ialpha * cosVal + Ibeta * sinVal;
+
+ /* Calculate pIq using the equation, pIq = - Ialpha * sinVal + Ibeta * cosVal */
+ *pIq = -Ialpha * sinVal + Ibeta * cosVal;
+ }
+
+
+ /**
+ * @brief Park transform for Q31 version
+ * @param[in] Ialpha input two-phase vector coordinate alpha
+ * @param[in] Ibeta input two-phase vector coordinate beta
+ * @param[out] pId points to output rotor reference frame d
+ * @param[out] pIq points to output rotor reference frame q
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 32-bit accumulator.
+ * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ * There is saturation on the addition and subtraction, hence there is no risk of overflow.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_park_q31(
+ q31_t Ialpha,
+ q31_t Ibeta,
+ q31_t * pId,
+ q31_t * pIq,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Ialpha * cosVal) */
+ product1 = (q31_t) (((q63_t) (Ialpha) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * sinVal) */
+ product2 = (q31_t) (((q63_t) (Ibeta) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Ialpha * sinVal) */
+ product3 = (q31_t) (((q63_t) (Ialpha) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Ibeta * cosVal) */
+ product4 = (q31_t) (((q63_t) (Ibeta) * (cosVal)) >> 31);
+
+ /* Calculate pId by adding the two intermediate products 1 and 2 */
+ *pId = __QADD(product1, product2);
+
+ /* Calculate pIq by subtracting the two intermediate products 3 from 4 */
+ *pIq = __QSUB(product4, product3);
+ }
+
+ /**
+ * @} end of park group
+ */
+
+ /**
+ * @brief Converts the elements of the Q7 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q7_to_float(
+ q7_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @ingroup groupController
+ */
+
+ /**
+ * @defgroup inv_park Vector Inverse Park transform
+ * Inverse Park transform converts the input flux and torque components to two-coordinate vector.
+ *
+ * The function operates on a single sample of data and each call to the function returns the processed output.
+ * The library provides separate functions for Q31 and floating-point data types.
+ * \par Algorithm
+ * \image html parkInvFormula.gif
+ * where pIalpha and pIbeta are the stator vector components,
+ * Id and Iq are rotor vector components and cosVal and sinVal are the
+ * cosine and sine values of theta (rotor flux position).
+ * \par Fixed-Point Behavior
+ * Care must be taken when using the Q31 version of the Park transform.
+ * In particular, the overflow and saturation behavior of the accumulator used must be considered.
+ * Refer to the function specific documentation below for usage guidelines.
+ */
+
+ /**
+ * @addtogroup inv_park
+ * @{
+ */
+
+ /**
+ * @brief Floating-point Inverse Park transform
+ * @param[in] Id input coordinate of rotor reference frame d
+ * @param[in] Iq input coordinate of rotor reference frame q
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_inv_park_f32(
+ float32_t Id,
+ float32_t Iq,
+ float32_t * pIalpha,
+ float32_t * pIbeta,
+ float32_t sinVal,
+ float32_t cosVal)
+ {
+ /* Calculate pIalpha using the equation, pIalpha = Id * cosVal - Iq * sinVal */
+ *pIalpha = Id * cosVal - Iq * sinVal;
+
+ /* Calculate pIbeta using the equation, pIbeta = Id * sinVal + Iq * cosVal */
+ *pIbeta = Id * sinVal + Iq * cosVal;
+ }
+
+
+ /**
+ * @brief Inverse Park transform for Q31 version
+ * @param[in] Id input coordinate of rotor reference frame d
+ * @param[in] Iq input coordinate of rotor reference frame q
+ * @param[out] pIalpha points to output two-phase orthogonal vector axis alpha
+ * @param[out] pIbeta points to output two-phase orthogonal vector axis beta
+ * @param[in] sinVal sine value of rotation angle theta
+ * @param[in] cosVal cosine value of rotation angle theta
+ *
+ * Scaling and Overflow Behavior:
+ * \par
+ * The function is implemented using an internal 32-bit accumulator.
+ * The accumulator maintains 1.31 format by truncating lower 31 bits of the intermediate multiplication in 2.62 format.
+ * There is saturation on the addition, hence there is no risk of overflow.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_inv_park_q31(
+ q31_t Id,
+ q31_t Iq,
+ q31_t * pIalpha,
+ q31_t * pIbeta,
+ q31_t sinVal,
+ q31_t cosVal)
+ {
+ q31_t product1, product2; /* Temporary variables used to store intermediate results */
+ q31_t product3, product4; /* Temporary variables used to store intermediate results */
+
+ /* Intermediate product is calculated by (Id * cosVal) */
+ product1 = (q31_t) (((q63_t) (Id) * (cosVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * sinVal) */
+ product2 = (q31_t) (((q63_t) (Iq) * (sinVal)) >> 31);
+
+
+ /* Intermediate product is calculated by (Id * sinVal) */
+ product3 = (q31_t) (((q63_t) (Id) * (sinVal)) >> 31);
+
+ /* Intermediate product is calculated by (Iq * cosVal) */
+ product4 = (q31_t) (((q63_t) (Iq) * (cosVal)) >> 31);
+
+ /* Calculate pIalpha by using the two intermediate products 1 and 2 */
+ *pIalpha = __QSUB(product1, product2);
+
+ /* Calculate pIbeta by using the two intermediate products 3 and 4 */
+ *pIbeta = __QADD(product4, product3);
+ }
+
+ /**
+ * @} end of Inverse park group
+ */
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_float(
+ q31_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+ /**
+ * @defgroup LinearInterpolate Linear Interpolation
+ *
+ * Linear interpolation is a method of curve fitting using linear polynomials.
+ * Linear interpolation works by effectively drawing a straight line between two neighboring samples and returning the appropriate point along that line
+ *
+ * \par
+ * \image html LinearInterp.gif "Linear interpolation"
+ *
+ * \par
+ * A Linear Interpolate function calculates an output value(y), for the input(x)
+ * using linear interpolation of the input values x0, x1( nearest input values) and the output values y0 and y1(nearest output values)
+ *
+ * \par Algorithm:
+ *
+ * y = y0 + (x - x0) * ((y1 - y0)/(x1-x0))
+ * where x0, x1 are nearest values of input x
+ * y0, y1 are nearest values to output y
+ *
+ *
+ * \par
+ * This set of functions implements Linear interpolation process
+ * for Q7, Q15, Q31, and floating-point data types. The functions operate on a single
+ * sample of data and each call to the function returns a single processed value.
+ * S points to an instance of the Linear Interpolate function data structure.
+ * x is the input sample value. The functions returns the output value.
+ *
+ * \par
+ * if x is outside of the table boundary, Linear interpolation returns first value of the table
+ * if x is below input range and returns last value of table if x is above range.
+ */
+
+ /**
+ * @addtogroup LinearInterpolate
+ * @{
+ */
+
+ /**
+ * @brief Process function for the floating-point Linear Interpolation Function.
+ * @param[in,out] S is an instance of the floating-point Linear Interpolation structure
+ * @param[in] x input sample to process
+ * @return y processed output sample.
+ *
+ */
+ CMSIS_INLINE __STATIC_INLINE float32_t arm_linear_interp_f32(
+ arm_linear_interp_instance_f32 * S,
+ float32_t x)
+ {
+ float32_t y;
+ float32_t x0, x1; /* Nearest input values */
+ float32_t y0, y1; /* Nearest output values */
+ float32_t xSpacing = S->xSpacing; /* spacing between input values */
+ int32_t i; /* Index variable */
+ float32_t *pYData = S->pYData; /* pointer to output table */
+
+ /* Calculation of index */
+ i = (int32_t) ((x - S->x1) / xSpacing);
+
+ if (i < 0)
+ {
+ /* Iniatilize output for below specified range as least output value of table */
+ y = pYData[0];
+ }
+ else if ((uint32_t)i >= S->nValues)
+ {
+ /* Iniatilize output for above specified range as last output value of table */
+ y = pYData[S->nValues - 1];
+ }
+ else
+ {
+ /* Calculation of nearest input values */
+ x0 = S->x1 + i * xSpacing;
+ x1 = S->x1 + (i + 1) * xSpacing;
+
+ /* Read of nearest output values */
+ y0 = pYData[i];
+ y1 = pYData[i + 1];
+
+ /* Calculation of output */
+ y = y0 + (x - x0) * ((y1 - y0) / (x1 - x0));
+
+ }
+
+ /* returns output value */
+ return (y);
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q31 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q31 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ CMSIS_INLINE __STATIC_INLINE q31_t arm_linear_interp_q31(
+ q31_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q31_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (q31_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* shift left by 11 to keep fract in 1.31 format */
+ fract = (x & 0x000FFFFF) << 11;
+
+ /* Read two nearest output values from the index in 1.31(q31) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 2.30 format */
+ y = ((q31_t) ((q63_t) y0 * (0x7FFFFFFF - fract) >> 32));
+
+ /* Calculation of y0 * (1-fract) + y1 *fract and y is in 2.30 format */
+ y += ((q31_t) (((q63_t) y1 * fract) >> 32));
+
+ /* Convert y to 1.31 format */
+ return (y << 1U);
+ }
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q15 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q15 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ *
+ */
+ CMSIS_INLINE __STATIC_INLINE q15_t arm_linear_interp_q15(
+ q15_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q63_t y; /* output */
+ q15_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ int32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ index = ((x & (int32_t)0xFFF00000) >> 20);
+
+ if (index >= (int32_t)(nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else if (index < 0)
+ {
+ return (pYData[0]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract) and y is in 13.35 format */
+ y = ((q63_t) y0 * (0xFFFFF - fract));
+
+ /* Calculation of (y0 * (1-fract) + y1 * fract) and y is in 13.35 format */
+ y += ((q63_t) y1 * (fract));
+
+ /* convert y to 1.15 format */
+ return (q15_t) (y >> 20);
+ }
+ }
+
+
+ /**
+ *
+ * @brief Process function for the Q7 Linear Interpolation Function.
+ * @param[in] pYData pointer to Q7 Linear Interpolation table
+ * @param[in] x input sample to process
+ * @param[in] nValues number of table values
+ * @return y processed output sample.
+ *
+ * \par
+ * Input sample x is in 12.20 format which contains 12 bits for table index and 20 bits for fractional part.
+ * This function can support maximum of table size 2^12.
+ */
+ CMSIS_INLINE __STATIC_INLINE q7_t arm_linear_interp_q7(
+ q7_t * pYData,
+ q31_t x,
+ uint32_t nValues)
+ {
+ q31_t y; /* output */
+ q7_t y0, y1; /* Nearest output values */
+ q31_t fract; /* fractional part */
+ uint32_t index; /* Index to read nearest output values */
+
+ /* Input is in 12.20 format */
+ /* 12 bits for the table index */
+ /* Index value calculation */
+ if (x < 0)
+ {
+ return (pYData[0]);
+ }
+ index = (x >> 20) & 0xfff;
+
+ if (index >= (nValues - 1))
+ {
+ return (pYData[nValues - 1]);
+ }
+ else
+ {
+ /* 20 bits for the fractional part */
+ /* fract is in 12.20 format */
+ fract = (x & 0x000FFFFF);
+
+ /* Read two nearest output values from the index and are in 1.7(q7) format */
+ y0 = pYData[index];
+ y1 = pYData[index + 1];
+
+ /* Calculation of y0 * (1-fract ) and y is in 13.27(q27) format */
+ y = ((y0 * (0xFFFFF - fract)));
+
+ /* Calculation of y1 * fract + y0 * (1-fract) and y is in 13.27(q27) format */
+ y += (y1 * fract);
+
+ /* convert y to 1.7(q7) format */
+ return (q7_t) (y >> 20);
+ }
+ }
+
+ /**
+ * @} end of LinearInterpolate group
+ */
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return sin(x).
+ */
+ float32_t arm_sin_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q31_t arm_sin_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric sine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return sin(x).
+ */
+ q15_t arm_sin_q15(
+ q15_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for floating-point data.
+ * @param[in] x input value in radians.
+ * @return cos(x).
+ */
+ float32_t arm_cos_f32(
+ float32_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q31 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q31_t arm_cos_q31(
+ q31_t x);
+
+
+ /**
+ * @brief Fast approximation to the trigonometric cosine function for Q15 data.
+ * @param[in] x Scaled input value in radians.
+ * @return cos(x).
+ */
+ q15_t arm_cos_q15(
+ q15_t x);
+
+
+ /**
+ * @ingroup groupFastMath
+ */
+
+
+ /**
+ * @defgroup SQRT Square Root
+ *
+ * Computes the square root of a number.
+ * There are separate functions for Q15, Q31, and floating-point data types.
+ * The square root function is computed using the Newton-Raphson algorithm.
+ * This is an iterative algorithm of the form:
+ *
+ * x1 = x0 - f(x0)/f'(x0)
+ *
+ * where x1 is the current estimate,
+ * x0 is the previous estimate, and
+ * f'(x0) is the derivative of f() evaluated at x0.
+ * For the square root function, the algorithm reduces to:
+ *
+ */
+
+
+ /**
+ * @addtogroup SQRT
+ * @{
+ */
+
+ /**
+ * @brief Floating-point square root function.
+ * @param[in] in input value.
+ * @param[out] pOut square root of input value.
+ * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+ * in is negative value and returns zero output for negative values.
+ */
+ CMSIS_INLINE __STATIC_INLINE arm_status arm_sqrt_f32(
+ float32_t in,
+ float32_t * pOut)
+ {
+ if (in >= 0.0f)
+ {
+
+#if (__FPU_USED == 1) && defined ( __CC_ARM )
+ *pOut = __sqrtf(in);
+#elif (__FPU_USED == 1) && (defined(__ARMCC_VERSION) && (__ARMCC_VERSION >= 6010050))
+ *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined(__GNUC__)
+ *pOut = __builtin_sqrtf(in);
+#elif (__FPU_USED == 1) && defined ( __ICCARM__ ) && (__VER__ >= 6040000)
+ __ASM("VSQRT.F32 %0,%1" : "=t"(*pOut) : "t"(in));
+#else
+ *pOut = sqrtf(in);
+#endif
+
+ return (ARM_MATH_SUCCESS);
+ }
+ else
+ {
+ *pOut = 0.0f;
+ return (ARM_MATH_ARGUMENT_ERROR);
+ }
+ }
+
+
+ /**
+ * @brief Q31 square root function.
+ * @param[in] in input value. The range of the input value is [0 +1) or 0x00000000 to 0x7FFFFFFF.
+ * @param[out] pOut square root of input value.
+ * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+ * in is negative value and returns zero output for negative values.
+ */
+ arm_status arm_sqrt_q31(
+ q31_t in,
+ q31_t * pOut);
+
+
+ /**
+ * @brief Q15 square root function.
+ * @param[in] in input value. The range of the input value is [0 +1) or 0x0000 to 0x7FFF.
+ * @param[out] pOut square root of input value.
+ * @return The function returns ARM_MATH_SUCCESS if input value is positive value or ARM_MATH_ARGUMENT_ERROR if
+ * in is negative value and returns zero output for negative values.
+ */
+ arm_status arm_sqrt_q15(
+ q15_t in,
+ q15_t * pOut);
+
+ /**
+ * @} end of SQRT group
+ */
+
+
+ /**
+ * @brief floating-point Circular write function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const int32_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+
+ /**
+ * @brief floating-point Circular Read function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularRead_f32(
+ int32_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ int32_t * dst,
+ int32_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t rOffset, dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+ dst_end = (int32_t) (dst_base + dst_length);
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == (int32_t *) dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular write function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q15_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q15 Circular Read function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularRead_q15(
+ q15_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q15_t * dst,
+ q15_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset, dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = (int32_t) (dst_base + dst_length);
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == (q15_t *) dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular write function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularWrite_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ uint16_t * writeOffset,
+ int32_t bufferInc,
+ const q7_t * src,
+ int32_t srcInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0U;
+ int32_t wOffset;
+
+ /* Copy the value of Index pointer that points
+ * to the current location where the input samples to be copied */
+ wOffset = *writeOffset;
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the input sample to the circular buffer */
+ circBuffer[wOffset] = *src;
+
+ /* Update the input pointer */
+ src += srcInc;
+
+ /* Circularly update wOffset. Watch out for positive and negative value */
+ wOffset += bufferInc;
+ if (wOffset >= L)
+ wOffset -= L;
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *writeOffset = (uint16_t)wOffset;
+ }
+
+
+ /**
+ * @brief Q7 Circular Read function.
+ */
+ CMSIS_INLINE __STATIC_INLINE void arm_circularRead_q7(
+ q7_t * circBuffer,
+ int32_t L,
+ int32_t * readOffset,
+ int32_t bufferInc,
+ q7_t * dst,
+ q7_t * dst_base,
+ int32_t dst_length,
+ int32_t dstInc,
+ uint32_t blockSize)
+ {
+ uint32_t i = 0;
+ int32_t rOffset, dst_end;
+
+ /* Copy the value of Index pointer that points
+ * to the current location from where the input samples to be read */
+ rOffset = *readOffset;
+
+ dst_end = (int32_t) (dst_base + dst_length);
+
+ /* Loop over the blockSize */
+ i = blockSize;
+
+ while (i > 0U)
+ {
+ /* copy the sample from the circular buffer to the destination buffer */
+ *dst = circBuffer[rOffset];
+
+ /* Update the input pointer */
+ dst += dstInc;
+
+ if (dst == (q7_t *) dst_end)
+ {
+ dst = dst_base;
+ }
+
+ /* Circularly update rOffset. Watch out for positive and negative value */
+ rOffset += bufferInc;
+
+ if (rOffset >= L)
+ {
+ rOffset -= L;
+ }
+
+ /* Decrement the loop counter */
+ i--;
+ }
+
+ /* Update the index pointer */
+ *readOffset = rOffset;
+ }
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q63_t * pResult);
+
+
+ /**
+ * @brief Sum of the squares of the elements of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_power_q7(
+ q7_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q7(
+ q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Mean value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Mean value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_mean_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Variance of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_var_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Root Mean Square of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_rms_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult);
+
+
+ /**
+ * @brief Standard deviation of the elements of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output value.
+ */
+ void arm_std_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult);
+
+
+ /**
+ * @brief Floating-point complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_f32(
+ float32_t * pSrc,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_q31(
+ q31_t * pSrc,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex magnitude
+ * @param[in] pSrc points to the complex input vector
+ * @param[out] pDst points to the real output vector
+ * @param[in] numSamples number of complex samples in the input vector
+ */
+ void arm_cmplx_mag_q15(
+ q15_t * pSrc,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q15 complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ uint32_t numSamples,
+ q31_t * realResult,
+ q31_t * imagResult);
+
+
+ /**
+ * @brief Q31 complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ uint32_t numSamples,
+ q63_t * realResult,
+ q63_t * imagResult);
+
+
+ /**
+ * @brief Floating-point complex dot product
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[in] numSamples number of complex samples in each vector
+ * @param[out] realResult real part of the result returned here
+ * @param[out] imagResult imaginary part of the result returned here
+ */
+ void arm_cmplx_dot_prod_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ uint32_t numSamples,
+ float32_t * realResult,
+ float32_t * imagResult);
+
+
+ /**
+ * @brief Q15 complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_q15(
+ q15_t * pSrcCmplx,
+ q15_t * pSrcReal,
+ q15_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_q31(
+ q31_t * pSrcCmplx,
+ q31_t * pSrcReal,
+ q31_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex-by-real multiplication
+ * @param[in] pSrcCmplx points to the complex input vector
+ * @param[in] pSrcReal points to the real input vector
+ * @param[out] pCmplxDst points to the complex output vector
+ * @param[in] numSamples number of samples in each vector
+ */
+ void arm_cmplx_mult_real_f32(
+ float32_t * pSrcCmplx,
+ float32_t * pSrcReal,
+ float32_t * pCmplxDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Minimum value of a Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] result is output pointer
+ * @param[in] index is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q7(
+ q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * result,
+ uint32_t * index);
+
+
+ /**
+ * @brief Minimum value of a Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[in] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+
+ /**
+ * @brief Minimum value of a Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+
+ /**
+ * @brief Minimum value of a floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[in] blockSize is the number of samples to process
+ * @param[out] pResult is output pointer
+ * @param[out] pIndex is the array index of the minimum value in the input buffer.
+ */
+ void arm_min_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q7 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q7(
+ q7_t * pSrc,
+ uint32_t blockSize,
+ q7_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q15 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q15(
+ q15_t * pSrc,
+ uint32_t blockSize,
+ q15_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a Q31 vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_q31(
+ q31_t * pSrc,
+ uint32_t blockSize,
+ q31_t * pResult,
+ uint32_t * pIndex);
+
+
+/**
+ * @brief Maximum value of a floating-point vector.
+ * @param[in] pSrc points to the input buffer
+ * @param[in] blockSize length of the input vector
+ * @param[out] pResult maximum value returned here
+ * @param[out] pIndex index of maximum value returned here
+ */
+ void arm_max_f32(
+ float32_t * pSrc,
+ uint32_t blockSize,
+ float32_t * pResult,
+ uint32_t * pIndex);
+
+
+ /**
+ * @brief Q15 complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_q15(
+ q15_t * pSrcA,
+ q15_t * pSrcB,
+ q15_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Q31 complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_q31(
+ q31_t * pSrcA,
+ q31_t * pSrcB,
+ q31_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Floating-point complex-by-complex multiplication
+ * @param[in] pSrcA points to the first input vector
+ * @param[in] pSrcB points to the second input vector
+ * @param[out] pDst points to the output vector
+ * @param[in] numSamples number of complex samples in each vector
+ */
+ void arm_cmplx_mult_cmplx_f32(
+ float32_t * pSrcA,
+ float32_t * pSrcB,
+ float32_t * pDst,
+ uint32_t numSamples);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q31 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q31 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q31(
+ float32_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q15 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q15 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q15(
+ float32_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the floating-point vector to Q7 vector.
+ * @param[in] pSrc points to the floating-point input vector
+ * @param[out] pDst points to the Q7 output vector
+ * @param[in] blockSize length of the input vector
+ */
+ void arm_float_to_q7(
+ float32_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q15 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q15(
+ q31_t * pSrc,
+ q15_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q31 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q31_to_q7(
+ q31_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to floating-point vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_float(
+ q15_t * pSrc,
+ float32_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q31 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q31(
+ q15_t * pSrc,
+ q31_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @brief Converts the elements of the Q15 vector to Q7 vector.
+ * @param[in] pSrc is input pointer
+ * @param[out] pDst is output pointer
+ * @param[in] blockSize is the number of samples to process
+ */
+ void arm_q15_to_q7(
+ q15_t * pSrc,
+ q7_t * pDst,
+ uint32_t blockSize);
+
+
+ /**
+ * @ingroup groupInterpolation
+ */
+
+ /**
+ * @defgroup BilinearInterpolate Bilinear Interpolation
+ *
+ * Bilinear interpolation is an extension of linear interpolation applied to a two dimensional grid.
+ * The underlying function f(x, y) is sampled on a regular grid and the interpolation process
+ * determines values between the grid points.
+ * Bilinear interpolation is equivalent to two step linear interpolation, first in the x-dimension and then in the y-dimension.
+ * Bilinear interpolation is often used in image processing to rescale images.
+ * The CMSIS DSP library provides bilinear interpolation functions for Q7, Q15, Q31, and floating-point data types.
+ *
+ * Algorithm
+ * \par
+ * The instance structure used by the bilinear interpolation functions describes a two dimensional data table.
+ * For floating-point, the instance structure is defined as:
+ *
+ *
+ * \par
+ * where numRows specifies the number of rows in the table;
+ * numCols specifies the number of columns in the table;
+ * and pData points to an array of size numRows*numCols values.
+ * The data table pTable is organized in row order and the supplied data values fall on integer indexes.
+ * That is, table element (x,y) is located at pTable[x + y*numCols] where x and y are integers.
+ *
+ * \par
+ * Let (x, y) specify the desired interpolation point. Then define:
+ *
+ * XF = floor(x)
+ * YF = floor(y)
+ *
+ * \par
+ * The interpolated output point is computed as:
+ *