超越函数

基于CORDIC算法的高精度浮点超越函数的FPGA实现

The implementation of high-precision floating transcendental functions on FPGA based on the CORDIC algorithm

PARI是快速运行的符号函数C语言库，用于因素分解、代数数论、椭圆曲线、矩阵和超越函数。

PARI is a fast-running C library of symbolic functions for factorization , algebraic number theory , elliptic curves , matrices , and transcendental functions .

基于超越函数的广义Mandelbrot和Julia分形图

Generalized Mandelbrot and Julia Fractal Graph Based on Escape Time Function

在船体型线的表达方面有多项式、超越函数、新二次曲线、B样条函数、非均匀有理B样条函数等。

Polynomial , transcendental function , new quadratic curve , B-spline and NURBS have been used in expression of hull molded line , trapezoidal method , Simpson method have been used in static calculation .

提出了龙腾S1中微处理器核的浮点执行单元的总体结构，并基于该结构确定了HPCORDIC算法实现三角类超越函数的详细流程。

Present the architecture of floating-point execution unit , and establish the detailed implementation flow of trigonometric function using HP CORDIC .

科学计算中的许多领域都需要快速而精确地计算超越函数，即exp、log、sin、tan等此类函数。

The fast and accurate evaluation of transcendental functions ( e.g.exp , log , sin , tan ) is very important in the field of scientific computing .

CORDIC算法可通过简单的加法和移位操作计算基本的超越函数。

CORDIC algorithm is widely used to compute transcendental functions for its simple addition , shift and table looking-up operations .

主要研究内容如下：由于TI蜗杆齿面上的接触线方程是一种超越函数，直接在有限元分析软件ANSYS中建模比较困难。

The content of this research is as follows : Direct modeling for tooth surface of TI worm in ANSYS is difficult for the equations of contact lines being a kind of transcendental function .

例如，sin的定义可引用OpenMathWeb站点（参见参考资料中的链接）发布的超越函数的ContentDictionary。

For example , the definition of sin can be given by reference to the Content Dictionary for transcendental functions distributed from the OpenMath Web site ( see Resources for a link ) .

分析浮点超越函数的各种实现算法，并重点讨论了HPCORDIC算法及其流程，设计了超越函数实现的总体结构。

Analyze various algorithms used in the implementation of transcendental functions , discuss HP CORDIC algorithm , and design the entire structure of the implementation of the transcendental functions .

一方面浮点处理部件设计重点在于速度的优化，所以采用优化的高速算法，如浮点加法的Two-path、浮点乘法的BOOTH编码、浮点除法和平方根的SRT算法以及超越函数的CORDIC算法等。

For examples , Two-path of high-speed floating-point addition , Booth coding of floating-point multiplication . SRT of floating-point division and square root , CORDIC of transcendental function and so on .

CORDIC算法通过简单的加法和移位操作就可以完成三角函数、指数函数和对数函数等超越函数的计算，且该算法是一种规则化的算法，结构简单，可以很容易在硬件上实现。

CORDIC algorithm contain simple addition and shift operations to be completed on the trigonometric functions , exponential function and logarithmic function , such as calculation of transcendental function , and the algorithm is a rule-based algorithm , simple structure , can be easily achieved in hardware .

用实验方法研究了半导体气敏传感器（QM211型）在气体浓度阶跃作用下的响应和恢复特性，发现它们均可用超越函数模型近似。

The response and restoring characteristics of gas sensors ( model QM211 ) were studied in effect of step change of gas concentration , and it was found that they can be approximated with transcendental function model .

超越函数初等积分存在性和机械化算法

The Existence and Mechanical Algorithm for Elementary Integration of Transcendental Functions

80位嵌入式超越函数运算器的设计

Design of an 80-Bit Embedded Transcendental Function Calculator

一个超越函数方程解的研究

Research of solutions for a transcendental function equation

改进的遗传退火算法在针对含有超越函数的非线性方程组中求解的应用

Improved Genetic-annealing Algorithm 's application in solving the nonlinear equations which Contains transcendental function

复平面上计算超越函数零点的一种有效算法

An Efficient Algorithm for Computing the Zeros of Transcendental Functions in the Complex plane

微分方程的通积分与初等超越函数公式的推导

The General Integral of the Original Differential Equation and Making the Formule for Elementary Transcendental Function

基于移位加的坐标旋转数字计算机算法是用硬件实现超越函数的最简单方法。

The CORDIC algorithm based on shift and add operations is the simplest algorithm of the transcendental function .

本文采用状态平衡方程推导出用超越函数表示的空间索单元切线刚度矩阵的精确表达式。

The precise tangent stiffness matrix of space cable element is derived in this paper by using equilibrium equation .

如何以合理的硬件代价，快速实现高精度的浮点超越函数，是高性能微处理器设计的关键问题之一。

It is important to implement transcendental function of high precision with proper hardware cost for high performance microprocessor design .

计算机算术是微处理器运算的数学基础，其中一个非常重要的部分就是超越函数的计算问题。

Computer arithmetic is the theoretical foundation of operations in microprocessor and transcendental function is an important branch of it .

完成了浮点超越函数的验证和逻辑综合，主要验证内容包括单模块的验证、模块联合验证和系统验证。

Accomplish the verification and synthesis of floating-point transcendental functions , including module verification , combined module verification , and system verification .

本算法通用性强，不须求解方程的根就可绘制各种代数函数及超越函数曲线；

This algorithm has a large adaptability of both algebraic and transcendental curves and solving the root of the function are not needed .

拉氏算子s的整幂、分幂和超越函数描述的系统的分析与辨识

Analysis and Identification of the Systems Described by the Integral Powers , the Fractional Powers and the Transcendental Functions of Laplace Operator s

通过引入高等超越函数（指数积分，正弦和余弦积分等），得到了问题的一般解。

By means of higher transcendental functions ( exponential integral , sine and cosine integral ), the general solutions ofthe problem are obtained .

本文首先介绍了这种算法的工作方式和计算超越函数的具体过程，并设计了一个80位嵌入式超越函数运算器；

The CORDIC working mode and application detail are presented in this paper , and an 80-bit embedded calculator for the transcendental function is designed .

利用无穷级数可以将一些复杂的代数函数和超越函数展成简单形式，然后对其进行逐项微分或积分，进而对这些函数处理起来得心应手。

It makes a lot of complex algebraic functions and excessive functions become simple , and then we can differentiate or integrate term by term . Therefore , these functions can be done with easily .

提出了把表驱动算法与多项式并行计算相结合的指数函数内联算法，该算法也可用于其它超越函数的内联。

We presented an inline algorithm for the exponent function by combining the well-known table-driven algorithm and the polynomial parallel computing . This new algorithm can also be generalized for the inline of other transcendental functions .