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+/**
+ * Copyright (c) 2016 - 2018, Nordic Semiconductor ASA
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without modification,
+ * are permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice, this
+ * list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form, except as embedded into a Nordic
+ * Semiconductor ASA integrated circuit in a product or a software update for
+ * such product, must reproduce the above copyright notice, this list of
+ * conditions and the following disclaimer in the documentation and/or other
+ * materials provided with the distribution.
+ *
+ * 3. Neither the name of Nordic Semiconductor ASA nor the names of its
+ * contributors may be used to endorse or promote products derived from this
+ * software without specific prior written permission.
+ *
+ * 4. This software, with or without modification, must only be used with a
+ * Nordic Semiconductor ASA integrated circuit.
+ *
+ * 5. Any software provided in binary form under this license must not be reverse
+ * engineered, decompiled, modified and/or disassembled.
+ *
+ * THIS SOFTWARE IS PROVIDED BY NORDIC SEMICONDUCTOR ASA "AS IS" AND ANY EXPRESS
+ * OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
+ * OF MERCHANTABILITY, NONINFRINGEMENT, AND FITNESS FOR A PARTICULAR PURPOSE ARE
+ * DISCLAIMED. IN NO EVENT SHALL NORDIC SEMICONDUCTOR ASA OR CONTRIBUTORS BE
+ * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE
+ * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
+ * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
+ * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT
+ * OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ *
+ */
+/** @file
+ * @defgroup fpu_fft_example_main main.c
+ * @{
+ * @ingroup fpu_fft_example
+ * @brief Floating Point Number FFT Example Application main file.
+ *
+ */
+
+#include <stdbool.h>
+#include <stdint.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include "app_util_platform.h"
+#include "bsp.h"
+#include "nrf_delay.h"
+
+#include "nrf_log.h"
+#include "nrf_log_ctrl.h"
+#include "nrf_log_default_backends.h"
+/*lint -save -e689 */ /* Apparent end of comment ignored */
+#include "arm_const_structs.h"
+/*lint -restore */
+
+#define GRAPH_WINDOW_HEIGHT 20 //!< Graph window height used in draw function.
+
+#define FPU_EXCEPTION_MASK 0x0000009F //!< FPU exception mask used to clear exceptions in FPSCR register.
+#define FPU_FPSCR_REG_STACK_OFF 0x40 //!< Offset of FPSCR register stacked during interrupt handling in FPU part stack.
+
+// We want to use 44100 Hz sampling rate to reach 22050Hz band. 128 (64 pairs) samples are used
+// in FFT calculation with result contains 64 bins (22050Hz/64bins -> ~344,5Hz per bin).
+#define FFT_TEST_SAMPLE_FREQ_HZ 44100.0f //!< Frequency of complex input samples.
+#define FFT_TEST_COMP_SAMPLES_LEN 128 //!< Complex numbers input data array size. Correspond to FFT calculation this number must be power of two starting from 2^5 (2^4 pairs) with maximum value 2^13 (2^12 pairs).
+#define FFT_TEST_OUT_SAMPLES_LEN (FFT_TEST_COMP_SAMPLES_LEN / 2) //!< Output array size.
+
+#define SIGNALS_RESOLUTION 100.0f //!< Sine wave frequency and noise amplitude resolution. To count resolution as decimal places in number use this formula: resolution = 1/SIGNALS_RESOLUTION .
+#define SINE_WAVE_FREQ_MAX 20000 //!< Maximum frequency of generated sine wave.
+#define NOISE_AMPLITUDE 1 //!< Amplitude of generated noise added to signal.
+
+static uint32_t m_ifft_flag = 0; //!< Flag that selects forward (0) or inverse (1) transform.
+static uint32_t m_do_bit_reverse = 1; //!< Flag that enables (1) or disables (0) bit reversal of output.
+static float32_t m_fft_input_f32[FFT_TEST_COMP_SAMPLES_LEN]; //!< FFT input array. Time domain.
+static float32_t m_fft_output_f32[FFT_TEST_OUT_SAMPLES_LEN]; //!< FFT output data. Frequency domain.
+
+/**
+ * @brief Function for generating sine wave samples for FFT calculations.
+ *
+ * This function fill up output array with generated sine wave data with proper sampling frequency.
+ * Must be executed before fft_process function.
+ *
+ * @param[in] p_input Input array to fill with sine wave generated data.
+ * @param[in] size Input array size.
+ * @param[in] sample_freq Sine wave sampling frequency.
+ * @param[in] sine_freq Sine wave frequency.
+ * @param[in] add_noise Flag for enable or disble adding noise for generated data.
+ */
+static void fft_generate_samples(float32_t * p_input,
+ uint16_t size,
+ float32_t sampling_freq,
+ float32_t sine_freq,
+ bool add_noise)
+{
+ uint32_t i;
+
+ /* Remember that sample is represented as two next values in array. */
+ uint32_t sample_idx = 0;
+
+ if (2 > size)
+ {
+ return;
+ }
+
+ for (i = 0; i < (size - 1UL); i += 2) {
+ sample_idx = i / 2;
+ // Real part.
+ p_input[(uint16_t)i] = sin(sine_freq * (2.f * PI) * sample_idx / sampling_freq);
+ if (add_noise)
+ {
+ // Noise can be positive or negative number. Numbers can be cast to signed values.
+ p_input[(uint16_t)i] *= ((rand()) % ((int)(NOISE_AMPLITUDE * SIGNALS_RESOLUTION)))
+ / SIGNALS_RESOLUTION;
+ }
+ // Img part.
+ p_input[(uint16_t)i + 1] = 0;
+ }
+}
+
+/**
+ * @brief Function for processing generated sine wave samples.
+ * @param[in] p_input Pointer to input data array with complex number samples in time domain.
+ * @param[in] p_input_struct Pointer to cfft instance structure describing input data.
+ * @param[out] p_output Pointer to processed data (bins) array in frequency domain.
+ * @param[in] output_size Processed data array size.
+ */
+static void fft_process(float32_t * p_input,
+ const arm_cfft_instance_f32 * p_input_struct,
+ float32_t * p_output,
+ uint16_t output_size)
+{
+ // Use CFFT module to process the data.
+ arm_cfft_f32(p_input_struct, p_input, m_ifft_flag, m_do_bit_reverse);
+ // Calculate the magnitude at each bin using Complex Magnitude Module function.
+ arm_cmplx_mag_f32(p_input, p_output, output_size);
+}
+
+#ifdef FPU_INTERRUPT_MODE
+/**
+ * @brief FPU Interrupt handler. Clearing exception flag at the stack.
+ *
+ * Function clears exception flag in FPSCR register and at the stack. During interrupt handler
+ * execution FPU registers might be copied to the stack (see lazy stacking option) and
+ * it is necessary to clear data at the stack which will be recovered in the return from
+ * interrupt handling.
+ */
+void FPU_IRQHandler(void)
+{
+ // Prepare pointer to stack address with pushed FPSCR register.
+ uint32_t * fpscr = (uint32_t * )(FPU->FPCAR + FPU_FPSCR_REG_STACK_OFF);
+ // Execute FPU instruction to activate lazy stacking.
+ (void)__get_FPSCR();
+ // Clear flags in stacked FPSCR register.
+ *fpscr = *fpscr & ~(FPU_EXCEPTION_MASK);
+}
+#endif
+
+/**
+ * @brief Function for drawing line with given width.
+ * @param[in] line_width Line width.
+ */
+static void draw_line(uint16_t line_width)
+{
+ uint32_t i;
+ char line[line_width + 1];
+
+ for (i = 0; i < line_width; i++)
+ {
+ line[i] = '-';
+ }
+ line[line_width] = 0;
+ NRF_LOG_RAW_INFO("%s\r\n", nrf_log_push(line));
+}
+
+/**
+ * @brief Function for drawing line and processed data informations.
+ * @param[in] input_sine_freq Input sine wave frequency.
+ * @param[in] is_noisy Flag if data is noisy.
+ * @param[in] chart_width Drawing chart height.
+ */
+static void draw_fft_header(float32_t input_sine_freq, bool is_noisy)
+{
+ NRF_LOG_RAW_INFO("Input: sine %uHz, noise: %s.\r\n", (uint16_t)input_sine_freq,
+ (uint32_t)((is_noisy == true) ? "yes" : "no"));
+}
+
+/**
+ * @brief Function for drawing ASCII data processed by FFT function.
+ * @param[in] p_input_data Pointer to FFT data array.
+ * @param[in] data_size FFT array size.
+ * @param[in] chart_height Drawing chart height.
+ */
+static void draw_fft_data(float32_t * p_input_data, uint16_t data_size, uint16_t chart_height)
+{
+ uint32_t graph_y, graph_x;
+ float32_t curr_drawing_val;
+ float32_t curr_percent;
+ float32_t max_value;
+ uint32_t max_val_index;
+ char tmp_str[data_size + 1];
+
+ // Search FFT max value in input array.
+ arm_max_f32(p_input_data, data_size, &max_value, &max_val_index);
+
+ // Draw graph. Put space if number is less than currently processed, put '|' character otherwise.
+ for (graph_y = chart_height; graph_y > 0; graph_y--)
+ {
+ curr_percent = ((graph_y - 1) / (chart_height * 1.f));
+ curr_drawing_val = max_value * curr_percent;
+ for (graph_x = 0; graph_x < data_size; graph_x++)
+ {
+ if (m_fft_output_f32[graph_x] > curr_drawing_val)
+ {
+ tmp_str[graph_x] = '|';
+ } else
+ {
+ tmp_str[graph_x] = ' ';
+ }
+ }
+ tmp_str[data_size] = 0;
+ NRF_LOG_RAW_INFO("%s\r\n", NRF_LOG_PUSH(tmp_str));
+ NRF_LOG_FLUSH();
+ }
+
+ draw_line(data_size);
+}
+
+/**
+ * @brief Function for application main entry.
+ */
+int main(void)
+{
+ uint32_t err_code;
+ bool noise = false;
+ float32_t sine_freq;
+
+ err_code = NRF_LOG_INIT(NULL);
+ APP_ERROR_CHECK(err_code);
+
+ NRF_LOG_DEFAULT_BACKENDS_INIT();
+
+ // Welcome message.
+ NRF_LOG_INFO("FPU FFT example started.");
+ NRF_LOG_RAW_INFO("This is FPU usage example with FFT calculation and drawing.\r\n");
+
+#ifdef FPU_INTERRUPT_MODE
+ // Enable FPU interrupt
+ NVIC_SetPriority(FPU_IRQn, APP_IRQ_PRIORITY_LOWEST);
+ NVIC_ClearPendingIRQ(FPU_IRQn);
+ NVIC_EnableIRQ(FPU_IRQn);
+#endif
+
+ // Enter main loop.
+ for (;;)
+ {
+ // Generate new samples.
+ noise = !noise;
+ // Sine wave frequency must be positive number so cast rand to unsigned number.
+ // stdlib using with Segger Embedded Studio uses rand() configured to return values up to
+ // 32767 instead of 0x7fffffff configured in other compilers. It causes that generated sine
+ // frequency is smaller, but example works in the same way.
+ sine_freq = (((uint32_t)rand()) % ((uint32_t)(SINE_WAVE_FREQ_MAX * SIGNALS_RESOLUTION)))
+ / SIGNALS_RESOLUTION;
+ fft_generate_samples(m_fft_input_f32,
+ FFT_TEST_COMP_SAMPLES_LEN,
+ FFT_TEST_SAMPLE_FREQ_HZ,
+ sine_freq, noise);
+
+ // Process generated data. 64 pairs of complex data (real, img). It is important to use
+ // proper arm_cfft_sR_f32 structure associated with input/output data length.
+ // For example:
+ // - 128 numbers in input array (64 complex pairs of samples) -> 64 output bins power data -> &arm_cfft_sR_f32_len64.
+ // - 256 numbers in input array (128 complex pairs of samples) -> 128 output bins power data -> &arm_cfft_sR_f32_len128.
+ fft_process(m_fft_input_f32,
+ &arm_cfft_sR_f32_len64,
+ m_fft_output_f32,
+ FFT_TEST_OUT_SAMPLES_LEN);
+
+ // Draw FFT bin power chart.
+ draw_fft_header(sine_freq, noise);
+ draw_fft_data(m_fft_output_f32, FFT_TEST_OUT_SAMPLES_LEN, GRAPH_WINDOW_HEIGHT);
+
+ NRF_LOG_FLUSH();
+
+#ifndef FPU_INTERRUPT_MODE
+ /* Clear FPSCR register and clear pending FPU interrupts. This code is base on
+ * nRF5x_release_notes.txt in documentation folder. It is necessary part of code when
+ * application using power saving mode and after handling FPU errors in polling mode.
+ */
+ __set_FPSCR(__get_FPSCR() & ~(FPU_EXCEPTION_MASK));
+ (void) __get_FPSCR();
+ NVIC_ClearPendingIRQ(FPU_IRQn);
+#endif
+ nrf_delay_ms(1000);
+ }
+}
+
+/**
+ * @}
+ */