'Floating point arithmetic' diaporamas de présentation

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?????????? ???????. ???????????? ??????? ???? ?????????? ???????? Truncation error and Taylor series. Scientific computing is a discipline concerned with the development and

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Graphics Output Primitives Hearn & Baker Chapter 3

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Physics for Games Programmers: Numerical Robustness (for Geometric Calculations)

Physics for Games Programmers: Numerical Robustness (for Geometric Calculations). Christer Ericson Sony Computer Entertainment. Slides @ http://realtimecollisiondetection.net/pubs/. Physics for Games Programmers: Numerical Robustness (for Geometric Calculations). EPSILON is NOT 0.00001!.

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Computational Methods in Physics PHYS 3437

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Robustness in Numerical Computation I Root Finding

Robustness in Numerical Computation I Root Finding. Kwanghee Ko School of Mechatronics Gwnagju Institute of Science and Technology. Motivation. Why do we need a nonlinear polynomial solver? Many geometric problems are formulated as systems of nonlinear polynomial equations

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Arithmetic Systems

Arithmetic Systems. Kwang Hee Ko School of Mechatronics Gwangju Institute of Science and Technology. Introduction. Representation of numbers and associated operations in digital computers. Various arithmetic systems are used. Integer Arithmetic Floating Point Arithmetic

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Computer Graphics

Computer Graphics. Lecture 2 Line & Circle Drawing. Towards the Ideal Line. We can only do a discrete approximation Illuminate pixels as close to the true path as possible, consider bi-level display only Pixels are either lit or not lit. What is an ideal line.

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Computational Physics

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Chapter 1 Scientific Computing Approximation in Scientific Computing (1.2) January 12, 2010

Chapter 1 Scientific Computing Approximation in Scientific Computing (1.2) January 12, 2010. Absolute and Relative Errors. Example: Approximations. Model Earth as an ellipsoid?. Irrational number has infinite digits in decimal expansion. Floating-point number system.

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CS 147 Peter Budiono

Floating Point. CS 147 Peter Budiono. Agenda. History Basic Terms General representation of floating point Constructing a simple floating point representation Floating Point Arithmetic The IEEE-754 Floating-Point Standard Range, Precision, and Accuracy. History.

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Part III The Arithmetic/Logic Unit

Part III The Arithmetic/Logic Unit. 12 Floating-Point Arithmetic. Floating-point is no longer reserved for high-end machines Multimedia and signal processing require flp arithmetic Details of standard flp format and arithmetic operations. Denormals allow graceful underflow.

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Floating-Point Arithmetic

Floating-Point Arithmetic. if ((A + A) - A == A) { SelfDestruct() }. Reading: Study Chapter 3.5 Skim 3.6-3.8. What is the problem?. Many numeric applications require numbers over a VERY large range. (e.g. nanoseconds to centuries)

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ECS 15

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Numerical Computations in Linear Algebra

Numerical Computations in Linear Algebra. Mathematically posed problems that are to be solved, or whose solution is to be confirmed on a digital computer must have the computations performed in the presence of (usually) inexact representation of the model or problem itself.

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