RENESAS RL78 Family FFT Library User Guide

June 15, 2024
RENESAS

Application Note
RL78 Family
FFT Library: Deployment Guide

Introduction

This document provides information for deploying FFT Library. Fast Fourier transform (FFT) is an algorithm that executes the discrete Fourier transform at high speed. The implementation developed in 1965 by James Cooley and John Tukey, now widely known as FFT, has contributed to the rapid advancement of digital signal processing applications.
The FFT library is provided in a version that has been tuned at the assembly language level to enable efficient processing on Renesas MCUs.

Target Devices
RL78/G13, RL78/G14, RL78/G23, RL78/G15, RL78/G24
When using this application note with other Renesas MCUs, careful evaluation is recommended after making modifications to comply with the alternate MCU.

Product Configuration

The product comprises the following items.

  1. FFT Library V. 1.03 Release 00 and FFT Library for RL78/G24 FAA V.1.00
  2. Libraries above: Deployment Guide (r20an0150ej0108_rl78_fft.pdf) Product No.: R0M7800LF0010RRC
    The product comprises the files listed in Table 1.1.

Table 1.1 FFT Library Configuration

RENESAS RL78 Family FFT Library - Product Configuration
1

Library Functions

The FFT library supports the following library functions (APIs).

API Description
R_rfft64_int16 16-bit fixed-point real-number FFT (64 points)
R_rfft128_int16 16-bit fixed-point real-number FFT (128 points)
R_rfft256_int16 16-bit fixed-point real-number FFT (256 points)

CS+, e2 studio for CC

3.1 Limitations
The FFT library for the RL78/G13 uses the MCU’s on-chip multiplier and divider /multiply-accumulator for multiply-accumulate operations. Therefore, it is necessary to ensure that the register values listed below are not changed within interrupt handlers implemented by the user. For information on the multiplier and divider/multiply-accumulator and related registers, refer to chapter 14, Multiplier and Divider/MultiplyAccumulator, in RL78/G13 User’s Manual: Hardware.
Registers

  • Multiplication/division data register A (L) (MDAL)
  • Multiplication/division data register A (H) (MDAH)
  • Multiplication/division data register B (L) (MDBL)
  • Multiplication/division data register B (H) (MDBH)
  • Multiplication/division data register C (L) (MDCL)
  • Multiplication/division data register C (H) (MDCH)

Control register

  • Multiplication/division control register (MDUC)

3.2 Compiler Options
The library files are generated using the following compile options.
[Compile options] FFT library for RL78/G13, RL78/G14, RL78/G23 and RL78/G24 256 points:
-asmopt=-mirror_source=common -memory_model=medium
FFT library for RL78/G15:
-asmopt=-mirror_source=0 -memory_model=medium
-cpu=S2 –Odefault
3.3 Development Environment
The Renesas development environment consists of the items listed below.
Make sure to use the latest versions available when developing user applications.
[Software tools] FFT library for RL78/G13, RL78/G14, RL78/G23 and RL78/G24 256 points:

  • Integrated development environment
    CS+ for CC V8.06.00

  • C compiler
    CC-RL V1.10

  • Debugger
    RL78 simulator

FFT library for RL78/G15:

  • Integrated development environment
    CS+ for CC V8.08.00 e2
    studio Version: 2022-10(22.10.0)

  • C compiler
    CC-RL V1.11.00

  • Debugger
    E2 Lite emulator

3.4 ROM, RAM, and Stack Sizes
The ROM, RAM, and stack sizes of the various FFT library APIs are listed below (unit: bytes).
FFT library for RL78/G13:

API ROM RAM Stack
R_rfft64_int16 1,260 0 68
R_rfft128_int16 1,512 0 68
R_rfft256_int16 2,018 0 68

FFT library for RL78/G14, RL78/G23 and RL78/G24 256 points:

API ROM RAM Stack
R_rfft64_int16 1,224 0 68
R_rfft128_int16 1,476 0 68
R_rfft256_int16 1,982 0 68

FFT library for RL78/G15:

API ROM RAM Stack
R_rfft64_int16 1,358 0 82
R_rfft128_int16 1,610 0 82

3.5 Section Information
The sections (segments) used by the various FFT library APIs are listed in the table below.
FFT library for RL78/G13, RL78/G14, RL78/G23 and RL78/G24 256 points:

Section Name Description Section Attribute
.textf Program .CSEG TEXTF
.const Constant data .CSEG CONST

FFT library for RL78/G15:

Section Name Description Section Attribute
.text Program SECTION=.text
.const Constant data SECTION=.const

3.6 Library Performance
The processing times when calling the various library functions (APIs) are listed below.
FFT library for RL78/G13:

API Time (System Clock = 32 MHz)
R_rfft64_int16 Approx. 0.4 ms
R_rfft128_int16 Approx. 0.9 ms
R_rfft256_int16 Approx. 1.9 ms

FFT library for RL78/G14, RL78/G23 and RL78/G24 256 points:

API Time (System Clock = 32 MHz)
R_rfft64_int16 Approx. 0.3 ms
R_rfft128_int16 Approx. 0.7 ms
R_rfft256_int16 Approx. 1.6 ms

Measured using the execution time measurement function of the integrated development environment (CS+)
FFT library for RL78/G15:

API Time (System Clock = 16 MHz)
R_rfft64_int16 Approx. 29.3 ms
R_rfft128_int16 Approx. 73.1 ms

Measured using the execution time measurement function of the integrated development environment (e2 studio)

3.7 Version Information
The version information for the library is stored as a character string in the r_fft_a_version variable. This variable can be accessed by means of the following extern declaration.
extern const char r_fft_a_version[];
The data stored in the libraries comprising the current product is shown below.
FFT library for RL78/G13:
const char r_fft_a_version[] =
“FFT Library version 1.01 for RL78 Family (RL78G13) (Dec 7 2015, 17:30:04)”;
FFT library for RL78/G14, RL78/G23, and RL78/G24 256 points:
const char r_fft_a_version[] =
“FFT Library version 1.01 for RL78 Family (RL78G14) (Dec 7 2015, 17:29:42)”;

FFT library for RL78/G15:
const char r_fft_a_version[] =
“FFT Library version 1.03 for RL78 Family”;

IAR Embedded Workbench

4.1 Compiler Options
The library files are generated using the following compile options.
[Compile options] FFT library for RL78/G14 and RL78/G23:
__FAR_MODEL NEAR_DATA_MODEL
NDEBUG
RL78 TARGET__=RL78G14

FFT library for RL78/G15:
__NEAR_MODEL NEAR_DATA_MODEL
NDEBUG
RL78 TARGET__=RL78G15

4.2 Development Environment
The Renesas development environment consists of the items listed below.
Make sure to use the latest versions available when developing user applications. [Software tools]

  • Integrated development environment
    IAR Embedded Workbench for Renesas RL78 4.21.1

  • C compiler
    IAR C/C++ Compiler for Renesas RL78 4.21.1.2409

  • Debugger
    IAR C-SPY Debugger Kernel 8.5.2.7561

4.3 ROM, RAM, and Stack Sizes
The ROM, RAM, and stack sizes of the various FFT library APIs are listed below (unit: bytes).
FFT library for RL78/G14 and RL78/G23:

API ROM RAM Stack
R_rfft64_int16 1,226 0 68
R_rfft128_int16 1,478 0 68
R_rfft256_int16 1,984 0 68

FFT library for RL78/G15:

API ROM RAM Stack
R_rfft64_int16 1,350 0 82
R_rfft128_int16 1,602 0 82

4.4 Section Information
The sections (segments) used by the various FFT library APIs are listed in the table below.
FFT library for RL78/G14 and RL78/G23:

Section Name Description
.textf Program
.const Constant data

4.5 Library Performance
The processing times when calling the various library functions (APIs) are listed below.
FFT library for RL78/G14 and RL78/G23:

API Time (System Clock = 32 MHz)
R_rfft64_int16 Approx. 0.2 ms
R_rfft128_int16 Approx. 0.6 ms
R_rfft256_int16 Approx. 1.5 ms

Measured using the execution time measurement function of the integrated development environment (IAR Embedded Workbench for Renesas RL78))

FFT library for RL78/G15:

API Time (System Clock = 16 MHz)
R_rfft64_int16 Approx. 18.3 ms
R_rfft128_int16 Approx. 44.4 ms

Measured using the execution time measurement function of the integrated development environment (IAR Embedded Workbench for Renesas RL78))
4.6 Version Information
The version information for the library is stored as a character string in the r_fft_a_version variable. This variable can be accessed by means of the following extern declaration.
extern const char r_fft_a_version[];
The data stored in the libraries comprising the current product is shown below.
FFT library for RL78/G14 and RL78/G23:
const char r_fft_a_version[] = “FFT Library version 1.01 for RL78 Family (RL78G14) (Sep 7 2021, 13:40:39)”;
FFT library for RL78/G15:
const char r_fft_a_version[] =
“FFT Library version 1.03 for RL78 Family”;

e2 studio for LLVM

5.1 Compiler Options
The library files were generated by using the following compile options.
[Compile options] FFT library for RL78/G23:CPU Type: S3-core
Optimization: None(-O0)

FFT library for RL78/G15:
CPU Type: S2-core
Optimization: None(-O0)

5.2 Development Environment
The Renesas development environment consists of the items listed below.
Make sure to use the latest versions available when developing user applications.
[Software tools] FFT library for RL78/G23:

  • Integrated development environment
    e2 studio (version 2022-04 (22.4.0))

  • C compiler
    LLVM V10.0.0.202203

  • Debugger
    E2 Lite emulator

FFT library for RL78/G15:

  • Integrated development environment
    e2 studio (version 2022-10 (22.10.0))

  • C compiler
    LLVM V10.0.0.202207

  • Debugger
    E2 Lite emulator

5.3 ROM, RAM, and Stack Sizes
The ROM, RAM, and stack sizes of the various FFT APIs are listed below (unit: bytes).

FFT library for RL78/G23:

API ROM RAM Stack
R_rfft64_int16 1,224 0 68
R_rfft128_int16 1,476 0 68
R_rfft256_int16 1,982 0 68

FFT library for RL78/G15:

API ROM RAM Stack
R_rfft64_int16 1,346 0 82
R_rfft128_int16 1,854 0 82

5.4 Section Information
The sections (segments) used by the various FFT library APIs are listed in the table below.

Section Name Description
.text Program
.rodata Constant data

5.5 Library Performance
The processing times when calling the various library functions (APIs) are listed below.
FFT library for RL78/G23:

API Time (System Clock = 32 MHz)
R_rfft64_int16 Approx. 0.3 ms
R_rfft128_int16 Approx. 0.7 ms
R_rfft256_int16 Approx. 1.6 ms

FFT library for RL78/G15:

API Time (System Clock = 16 MHz)
R_rfft64_int16 Approx. 29.2 ms
R_rfft128_int16 Approx. 73.2 ms

Measured using the execution time measurement function of the integrated development environment (e2studio)

5.6 Version Information
The version information for the library is stored as a character string in the r_fft_a_version variable. This variable can be accessed by means of the following extern declaration.
extern const char r_fft_a_version[];
The data stored in the libraries comprising the current product is shown below.
FFT library for RL78/G23:
const char r_fft_a_version[] = “FFT Library version 1.01 for RL78 Family”;
FFT library for RL78/G15:
const char r_fft_a_version[] = “FFT Library version 1.03 for RL78 Family”;

RL78/G24 FAA

6.1 Development Environment
The Renesas development environment consists of the items listed below.
Make sure to use the latest versions available when developing user applications.
[Software tools]

FFT library for RL78/G24 FAA:

  • Integrated development environment
    CS+ for CC V8.09.00
    e2 studio Version: 2023-07(23.7.0)

  • C compiler
    CC-RL V1.20

  • Debugger
    E2 Lite emulator

6.2 FFT library for RL78/G24 FAA
If you want to use FFT 64 points or 128 points API, generate the FFT library for RL78/G24 FAA by using smart configurator. This library does not support 256 points, so link and use “libfft_rl78g14.lib” when using FFT 256 points API.

6.2.1 How to generate the FFT library for FAA
The code of the FFT library for RL78/G24 FAA is generated by smart configurator.

RENESAS RL78 Family FFT Library - overview 1

  1. Select FFT points to be used in the Functions of smart configurator.
    Note: You can select more than one, but select only one FFT points.

  2. After selecting a function, set its property.

  3. The code is generated in /src/smc_gen/Config_FAA

Selectable Functions is shown below.
Property Setting:

Property Description
FAA operation status checking • Enabled : The operating state of FAA is

checked when calling the API, and return an error code if the FAA is in operation by another function. (R_DSCL_ERR_FAA_ALREADY_RUNNING)
• Disabled : The operating state of FAA is not checked.

6.2.2 Preprocessor Macro Definition
When using the FFT library for RL78/G24 FAA, add the following definition to Preprocessor Macro Definition of the project.
The definition to be added is “R_FFT_FAA”

6.2.3 Work area to be specified in API
When using the FFT library for RL78/G24 FAA, specify the work area allocated on the FAA for the work area given as the fourth argument of the API.
The work area name to be specified is “V_rfft_work” described in “r_fft_int16.h”.

6.2.4 Return Values of API
FFT library for RL78/G24 FAA adds new return values to the API.
The return values are listed below.

Return Values :

Return Value Description
R_FFT_STATUS_OK Normal termination.
R_FFT_ERR_INPUT_NULL The input parameter “input” is NULL.
R_FFT_ERR_OUTPUT_NULL The output parameter “output” is NULL.
R_FFT_ERR_WINDOW_NULL The input parameter “window” is NULL.
R_FFT_ERR_WORK_NULL The input parameter “work” is NULL.
R_FFT_ERR_FAA_ALREADY_RUNNING FAA is running.

6.3 ROM, RAM, and Stack Sizes
The ROM, RAM, and stack sizes of the various FFT library APIs are listed below (unit: bytes)

API| ROM| RAM| stack| FAACODE| FAADATA| FAAStack
---|---|---|---|---|---|---
R_rfft64_int16| 575| 0| 36| 688| 1432| 8
R_rfft128_int16| 704| 0| 36| 688| 1808| 8

6.4 Section Information
The sections (segments) used by the various FFT library APIs are listed in the table below.

Section Name Description
.textf Program
.const Constant data
FAACODE FAA code area
FAADATA FAA data area

6.5 Library Performance
The processing times when calling the various library functions (APIs) are listed below.

API Time (System Clock = 48MHz )
R_rfft64_int16 Approx.0.2ms
R_rfft128_int16 Approx.0.5ms

Measured using the execution time measurement function of the integrated development environment (e2studio)

6.6 Version Information
This library does not support the r_fft_a_version variable to indicate version information. Refer to the header information in the source.

Revision History

Rev. Date Description
Page Summary
1.00 Mar. 31, 2012
1.01 Apr.1, 2014

V. 1.00 Release 01.
Added support for IAR Embedded Workbench.
1.02| Apr.1, 2015| 2| Updated product configuration to match package version V. 1.00 Release 02.
1.03| Oct. 1, 2015| —| Changed CubeSuite+ to CS+ for CA and CX. Added support for CS+ for CC.
1.04| Apr. 13, 2021| —| Added RL78/G23 to CS+ for CC. Deleted IAR.
1.05| Oct. 25, 2021| P6 P8-P10| Remove CS + for CA, CX
Updated the processing time of FFT library for RL78/G14 and RL78/G23
Add IAR
1.06| Jun. 27, 2022| P3 P11-P13| Added “e2studio for LLVM” in “Table 1.1 FFT Library Configuration”.
Added chapter “5. e2studio for LLVM”.
1.07| Sep. 26, 2022| —| Added RL78/G15
1.08| Apr. 19, 2023| —| Added RL78/G24 FAA

General Precautions in the Handling of Micro processing Unit and Microcontroller Unit Products
The following usage notes are applicable to all Micro processing unit and Microcontroller unit products from Renesas. For detailed usage notes on the products covered by this document, refer to the relevant sections of the document as well as any technical updates that have been issued for the products.

  1. Precaution against Electrostatic Discharge (ESD) A strong electrical field, when exposed to a CMOS device, can cause destruction of the gate oxide and ultimately degrade the device operation. Steps must be taken to stop the generation of static electricity as much as possible, and quickly dissipate it when it occurs. Environmental control must be adequate. When it is dry, a humidifier should be used. This is recommended to avoid using insulators that can easily build up static electricity. Semiconductor devices must be stored and transported in an anti-static container, static shielding bag or conductive material. All test and measurement tools including work benches and floors must be grounded. The operator must also be grounded using a wrist strap. Semiconductor devices must not be touched with bare hands. Similar precautions must be taken for printed circuit boards with mounted semiconductor devices.

  2. Processing at power-on
    The state of the product is undefined at the time when power is supplied. The states of internal circuits in the LSI are indeterminate and the states of register settings and pins are undefined at the time when power is supplied. In a finished product where the reset signal is applied to the external reset pin, the states of pins are not guaranteed from the time when power is supplied until the reset process is completed. In a similar way, the states of pins in a product that is reset by an on-chip power-on reset function are not guaranteed from the time when power is supplied until the power reaches the level at which resetting is specified.

  3. Input of signal during power-off state
    Do not input signals or an I/O pull-up power supply while the device is powered off. The current injection that results from input of such a signal or I/O pull-up power supply may cause malfunction and the abnormal current that passes in the device at this time may cause degradation of internal elements. Follow the guideline for input signal during power-off state as described in your product documentation.

  4. Handling of unused pins
    Handle unused pins in accordance with the directions given under handling of unused pins in the manual. The input pins of CMOS products are generally in the high-impedance state. In operation with an unused pin in the open-circuit state, extra electromagnetic noise is induced in the vicinity of the LSI, an associated shoot-through current flows internally, and malfunctions occur due to the false recognition of the pin state as an input signal become possible.

  5. Clock signals
    After applying a reset, only release the reset line after the operating clock signal becomes stable. When switching the clock signal during program execution, wait until the target clock signal is stabilized. When the clock signal is generated with an external resonator or from an external oscillator during a reset, ensure that the reset line is only released after full stabilization of the clock signal. Additionally, when switching to a clock signal produced with an external resonator or by an external oscillator while program execution is in progress, wait until the target clock signal is stable.

  6. Voltage application waveform at input pin
    Waveform distortion due to input noise or a reflected wave may cause malfunction. If the input of the CMOS device stays in the area between VIL (Max.) and VIH (Min.) due to noise, for example, the device may malfunction. Take care to prevent chattering noise from entering the device when the input level is fixed, and also in the transition period when the input level passes through the area between VIL (Max.) and VIH (Min.).

  7. Prohibition of access to reserved addresses
    Access to reserved addresses is prohibited. The reserved addresses are provided for possible future expansion of functions. Do not access these addresses as the correct operation of the LSI is not guaranteed.

  8. Differences between products
    Before changing from one product to another, for example to a product with a different part number, confirm that the change will not lead to problems. The characteristics of a micro processing unit or microcontroller unit products in the same group but having a different part number might differ in terms of internal memory capacity, layout pattern, and other factors, which can affect the ranges of electrical characteristics, such as characteristic values, operating margins, immunity to noise, and amount of radiated noise. When changing to a product with a different part number, implement a system evaluation test for the given product.

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