add some code

managed_components/espressif__esp-dsp/examples/basic_math/CMakeLists.txt

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+# The following lines of boilerplate have to be in your project's
+# CMakeLists in this exact order for cmake to work correctly
+cmake_minimum_required(VERSION 3.5)
+
+include($ENV{IDF_PATH}/tools/cmake/project.cmake)
+project(basic_math)

managed_components/espressif__esp-dsp/examples/basic_math/README.md

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+# Basic Math Example 
+
+(See the README.md file in the upper level 'examples' directory for more information about examples.)
+
+This example demonstrates how to use basic math functions from esp-dsp library. Example does the following steps:
+
+1. Initialize the library
+2. Initialize input signals with 1024 samples
+3. Apply window to input signal by standard C loop.
+4. Calculate FFT for 1024 complex samples and show the result
+5. Show results on the plots
+6. Apply window to input signal by basic math functions dsps_mul_f32 and dsps_mulc_f32.
+7. Calculate FFT for 1024 complex samples
+8. Show results on the plots
+
+## How to use example
+
+### Hardware required
+
+This example does not require any special hardware, and can be run on any common development board.
+
+### Configure the project
+
+Under Component Config ---> DSP Library ---> DSP Optimization, it's possible to choose either the optimized or ANSI implementation, to compare them.
+
+### Build and flash
+
+Build the project and flash it to the board, then run monitor tool to view serial output (replace PORT with serial port name):
+
+```
+idf.py -p PORT flash monitor
+```
+
+(To exit the serial monitor, type ``Ctrl-]``.)
+
+See the Getting Started Guide for full steps to configure and use ESP-IDF to build projects.
+
+## Example output
+
+Here is an typical example console output. 
+
+```bash
+I (132) main: *** Start Example. ***
+I (132) main: *** Multiply tone signal with Hann window by standard C loop. ***
+I (152) view: Data min[432] = -173.749878, Data max[205] = 23.849705
+ ________________________________________________________________
+0                         |                                      |
+1                         |                                      |
+2                         |                                      |
+3                         ||                                     |
+4                        | |                                     |
+5                       ||  |                                    |
+6                    |||     ||                                  |
+7               |||||          ||||                              |
+8|||||||||||||||                   ||||||                        |
+9                                        |||||||||||||||||||||||||
+ 0123456789012345678901234567890123456789012345678901234567890123
+I (162) view: Plot: Length=512, min=-120.000000, max=40.000000
+I (162) main: *** Multiply tone signal with Hann window by esp-dsp basic math functions. ***
+I (162) view: Data min[432] = -173.749878, Data max[205] = 23.849705
+ ________________________________________________________________
+0                         |                                      |
+1                         |                                      |
+2                         |                                      |
+3                         ||                                     |
+4                        | |                                     |
+5                       ||  |                                    |
+6                    |||     ||                                  |
+7               |||||          ||||                              |
+8|||||||||||||||                   ||||||                        |
+9                                        |||||||||||||||||||||||||
+ 0123456789012345678901234567890123456789012345678901234567890123
+I (172) view: Plot: Length=512, min=-120.000000, max=40.000000
+I (172) main: *** End Example. ***
+```

managed_components/espressif__esp-dsp/examples/basic_math/main/CMakeLists.txt

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+idf_component_register(SRCS "dsps_math_main.c")

managed_components/espressif__esp-dsp/examples/basic_math/main/dsps_math_main.c

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+// Copyright 2018-2019 Espressif Systems (Shanghai) PTE LTD
+//
+// 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
+//
+//     http://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.
+
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "freertos/FreeRTOS.h"
+#include "freertos/task.h"
+#include "esp_system.h"
+#include "driver/spi_master.h"
+#include "soc/gpio_struct.h"
+#include "driver/gpio.h"
+#include "driver/uart.h"
+#include "soc/uart_struct.h"
+#include <math.h>
+
+#include "esp_dsp.h"
+
+static const char *TAG = "main";
+
+// This example shows how to use FFT from esp-dsp library
+
+#define N_SAMPLES 1024
+int N = N_SAMPLES;
+// Input test array
+__attribute__((aligned(16)))
+float x1[N_SAMPLES];
+// Window coefficients
+__attribute__((aligned(16)))
+float wind[N_SAMPLES];
+// working complex array
+__attribute__((aligned(16)))
+float y_cf[N_SAMPLES * 2];
+// Pointers to result arrays
+float *y1_cf = &y_cf[0];
+
+static void process_and_show(float *data, int length)
+{
+    dsps_fft2r_fc32(data, length);
+    // Bit reverse
+    dsps_bit_rev_fc32(data, length);
+    // Convert one complex vector to two complex vectors
+    dsps_cplx2reC_fc32(data, length);
+
+    for (int i = 0 ; i < length / 2 ; i++) {
+        data[i] = 10 * log10f((data[i * 2 + 0] * data[i * 2 + 0] + data[i * 2 + 1] * data[i * 2 + 1]) / N);
+    }
+
+    // Show power spectrum in 64x10 window from -100 to 0 dB from 0..N/4 samples
+    dsps_view(data, length / 2, 64, 10,  -120, 40, '|');
+}
+
+void app_main()
+{
+    esp_err_t ret;
+    ESP_LOGI(TAG, "*** Start Example. ***");
+    ret = dsps_fft2r_init_fc32(NULL, CONFIG_DSP_MAX_FFT_SIZE);
+    if (ret  != ESP_OK) {
+        ESP_LOGE(TAG, "Not possible to initialize FFT. Error = %i", ret);
+        return;
+    }
+
+    // Generate Hann window
+    dsps_wind_hann_f32(wind, N);
+
+    ESP_LOGI(TAG, "*** Multiply tone signal with Hann window by standard C loop. ***");
+    // Generate input signal
+    dsps_tone_gen_f32(x1, N, 1., 0.2, 0);
+    // Convert two input vectors to one complex vector
+    for (int i = 0 ; i < N ; i++) {
+        y_cf[i * 2 + 0] = x1[i] * wind[i];
+        y_cf[i * 2 + 1] = 0;
+    }
+    process_and_show(y_cf, N);
+
+    ESP_LOGI(TAG, "*** Multiply tone signal with Hann window by esp-dsp basic math functions. ***");
+    // Convert two input vectors to one complex vector with basic functions
+    dsps_mul_f32(x1, wind, y_cf, N, 1, 1, 2); // Multiply input array with window and store as real part
+    dsps_mulc_f32(&y_cf[1], &y_cf[1], N, 0, 2, 2); // Clear imaginary part of the complex signal
+    process_and_show(y_cf, N);
+    ESP_LOGI(TAG, "*** End Example. ***");
+}

managed_components/espressif__esp-dsp/examples/basic_math/main/idf_component.yml

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+dependencies:
+  espressif/esp-dsp:
+    override_path: "../../../"
+    version: "*"

managed_components/espressif__esp-dsp/examples/basic_math/sdkconfig.defaults

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+CONFIG_PARTITION_TABLE_OFFSET=0x9000