C2000 Microcontroller Workshop - Numerical Concepts 8 - 1
Numerical Concepts
Introduction
In this module, numerical concepts will be explored. One of the first considerations concerns
multiplication – how does the user store the results of a multiplication, when the process of mul-
tiplication creates results larger than the inputs. A similar concern arises when considering accu-
mulation – especially when long summations are performed. Next, floating-point concepts will
be explored and IQmath will be described as a technique for implementing a “virtual floating-
point” system to simplify the design process.
The IQmath Library is a collection of highly optimized and high precision mathematical
functions used to seamlessly port floating-point algorithms into fixed-point code. These C/C++
routines are typically used in computationally intensive real-time applications where optimal
execution speed and high accuracy is needed. By using these routines a user can achieve
execution speeds considerable faster than equivalent code written in standard ANSI C language.
In addition, by incorporating the ready-to-use high precision functions, the IQmath library can
shorten significantly a DSP application development time. (The IQmath user's guide is included
in the application zip file, and can be found in the /docs folder once the file is extracted and
installed).
Module Objectives
Module Objectives
Integers and Fractions
IEEE-754 Floating-Point
IQmath
Format Conversion of ADC Results
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