MATLAB 和 Simulink 中的定点数学运算

基于 CORDIC 和其他嵌入式优化的数学运算，用于高效的 C/C++ 和 HDL 代码

Fixed-Point Designer™ 模块库使用 CORDIC 等算法提供常见数学和矩阵运算的硬件高效实现。使用 HDL Coder™ 为包含这些模块的设计生成 HDL 代码。Fixed-Point Designer 函数库包括基于 CORDIC 和其他硬件高效的数学运算实现，如除法、指数运算和三角函数。使用代码生成器为包含这些函数的设计生成 C/C++ 代码。

基于 CORDIC（坐标旋转数字计算方法）的算法是硬件效率最高的算法之一，因为它们只需进行迭代移位相加运算。CORDIC 算法不需要显式乘数，它适合计算各种函数。

有关 MATLAB^® 和 Simulink^® 中矩阵运算（包括线性系统求解器和矩阵分解）的基于 CORDIC 的实现，请参阅MATLAB 中的定点矩阵运算和Simulink 中的定点矩阵运算。

函数

全部展开

激活函数

cordicsigmoid CORDIC-based approximation of sigmoid activation (自 R2023b 起)

算术运算

`ceilDiv`	将除法结果向正无穷方向舍入 (自 R2021a 起)
`fixDiv`	将除法的结果向零方向舍入 (自 R2021a 起)
`floorDiv`	将除法结果向负无穷方向舍入 (自 R2021a 起)
`nearestDiv`	将除法的结果向最接近的整数舍入 (自 R2021a 起)
`modByConstant`	除以常量分母后的模数 (自 R2021a 起)
`fixed.cordicDivide`	CORDIC-based fixed-point divide
`fixed.cordicReciprocal`	CORDIC-based fixed-point reciprocal (自 R2021b 起)
`cordicsqrt`	CORDIC-based approximation of square root

复数

`cordicabs`	基于 CORDIC 的绝对值
`cordicangle`	基于 CORDIC 的相位角

指数和对数

cordiccexp CORDIC-based approximation of complex exponential

三角函数

`cordicacos`	CORDIC-based approximation of inverse cosine
`cordicasin`	CORDIC-based approximation of inverse sine
`cordicatan2`	基于 CORDIC 的四象限反正切
`cordiccos`	CORDIC-based approximation of cosine
`cordicsin`	基于 CORDIC 的正弦逼近
`cordicsincos`	CORDIC-based approximation of sine and cosine
`cordicsinhcosh`	CORDIC-based approximation of hyperbolic sine and cosine (自 R2023b 起)
`cordictanh`	CORDIC-based hyperbolic tangent

坐标变换

`cordiccart2pol`	CORDIC-based transformation of Cartesian coordinates to polar
`cordicpol2cart`	CORDIC-based approximation of polar-to-Cartesian conversion
`cordicrotate`	CORDIC-based approximation of rotation of input

模块

全部展开

激活函数

CORDIC Sigmoid HDL Optimized

计算基于 CORDIC 的 sigmoid 激活并生成优化的 HDL 代码 (自 R2024a 起)

算术运算

Complex Divide HDL Optimized	Divide one input by another using CORDIC algorithm and generate optimized HDL code (自 R2021a 起)
Real Divide HDL Optimized	Divide one real input by another using CORDIC algorithm and generate optimized HDL code (自 R2021a 起)
Divide by Constant HDL Optimized	将输入除以常量并舍入到整数并生成优化的 HDL 代码 (自 R2021a 起)
Divide by Constant and Round	将输入除以常量并舍入到整数 (自 R2021a 起)
Modulo by Constant HDL Optimized	Perform mod operation with a constant denominator and generate optimized HDL code (自 R2021a 起)
Modulo by Constant	用常量分母执行取模运算 (自 R2021a 起)
Normalized Reciprocal HDL Optimized	Computes normalized reciprocal using CORDIC algorithm and generates optimized HDL code
Real Reciprocal HDL Optimized	Compute reciprocal using CORDIC algorithm and generate optimized HDL code (自 R2021a 起)
CORDIC Square Root HDL Optimized	CORDIC-based approximation of square root (自 R2024a 起)

复数

Complex to Magnitude-Angle	Compute magnitude and phase angle of complex signal using CORDIC algorithm
Magnitude-Angle to Complex	将幅值和/或相位角信号转换为复信号

三角函数

Hyperbolic Tangent HDL Optimized	计算基于 CORDIC 的双曲正切并生成优化的 HDL 代码
Trigonometric Function	指定应用于输入信号的三角函数

坐标变换

Euler to NED Transformation HDL Optimized

Computes Euler to North-East-Down transformation using pipelined or burst architecture and generates optimized HDL code (自 R2022b 起)

主题

How to Set CORDIC Input Word Length and Maximum Shift Value to Achieve Desired Precision
This example provides a starting point for the input data type and number of iterations or maximum shift value required for the CORDIC algorithm to achieve a desired accuracy.
Implement Hardware-Efficient Complex Divide HDL Optimized
How to use the Complex Divide HDL Optimized block.
Implement Hardware-Efficient Real Divide HDL Optimized
How to use the Real Divide HDL Optimized block.
Customize Output Value of Real Divide HDL Optimized Block When Denominator Is Zero
Use the divideByZero port to customize the value of the block output when division by zero occurs.
Implement HDL Optimized Modulo by Constant
How to use the Modulo by Constant HDL Optimized block.
How to Use HDL Optimized Normalized Reciprocal
This example shows how and when to use the normalizedReciprocal function and the Normalized Reciprocal HDL Optimized block to compute the normalized reciprocal of an input.
Implement Hardware-Efficient Hyperbolic Tangent
Implement a hardware-efficient hyperbolic tangent.
Hardware-Efficient Rotation About Arbitrary Axis Using CORDIC
This example shows how to implement rotation about an arbitrary axis using the CORDIC algorithm in Simulink®.
Hardware-Efficient Euler Rotations Using CORDIC
This example shows how to implement Euler rotations using a CORDIC kernel.
Hardware-Efficient Rotation About Arbitrary Axis Using CORDIC
This example shows how to implement rotation about an arbitrary axis using the CORDIC algorithm in Simulink®.

精选示例

使用 CORDIC 计算平方根

此示例说明如何在 MATLAB 中使用 CORDIC 核算法计算平方根。

打开实时脚本

Digital Waveform Generation: Approximate a Sine Wave

Design and evaluate a sine wave data table for use in digital waveform synthesis applications in embedded systems and arbitrary waveform generation instruments.

Implement HDL-Optimized CORDIC-Based Square Root for Positive Real Numbers

Implement HDL-optimized CORDIC-based square root for positive real numbers.

打开实时脚本