IQmath Library

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Trademarks TMS320 is the trademark of Texas Instruments Incorporated. All other trademark mentioned herein are property of their respective companies Acronyms xDAIS : eXpress DSP Algorithm Interface Standard IALG : Algorithm interface defines a framework independent interface for the creation of algorithm instance objects STB : Software Test Bench IQmath: High Accuracy Mathematical Functions (32-bit implementation). QMATH: Fixed Point Mathematical computation CcA : C-Callable Assembly FIR : Finite Impulse Response Filter IIR : Infinite Impulse Response Filter FFT : Fast Fourier Transform ©Texas Instruments Inc., June 2002 Version 1.4.1
Contents 1. Introduction……………....................................................................................................1 2. Installing IQmath library…………….. ...............................................................................2 3. Using IQmath Library…………….. ...................................................................................3 3.1. IQmath Arguments and Data types. …………….. .........................................................3 3.2. IQmath Data Type: Range & Resolution. ……………....................................................4 3.3. Calling IQmath Function from C Program. …………….. ................................................5 3.4. IQmath Function Naming Convention …………….. .....................................................6 3.5. Selecting GLOBAL_Q format …………….. .................................................................6 3.6. Using IQmath GEL file for De-bugging ……………......................................................7 4. IQmath Function Summary…………….. ..........................................................................9 5. IQmath Function Description. …………….. ...................................................................13 5.1. Format Conversion utilitis. …………….. ..................................................................14 5.1.1. IQN: Float to IQN data type ……………............................................................14 5.1.2. IQNtoF: Float to IQN data type ……………........................................................15 5.1.3. atoIQN: String to IQN data type …………….. ....................................................16 5.1.4. IQNint: Integer part of IQN number ……………..................................................17 5.1.5. IQNfrac: Fractional Part of IQN number …………….. ........................................18 5.1.6. IQtoIQN: GLOBAL_Q number to IQN number …………….. ................................19 5.1.7. IQNtoIQ: IQN number to GLOBAL_Q number …………….. ...............................20 5.1.8. IQtoQN: GLOBAL_Q number to 16-bit QN number ……………...........................21 5.1.9. QNtoIQ: 16-bit QN number to GLOBAL_Q number …………….. ........................22 5.2. Arithmatic Functions. ……………............................................................................23 5.2.1. IQNmpy: IQ multiplication (IQN * IQN) …………….. ..........................................23 5.2.2. IQNrmpy: IQ multiplication with rounding (IQN*IQN) …………….. .......................24 5.2.3. IQNrsmpy: IQ multiplication with rounding & saturation (IQN*IQN)…………….….25 ©Texas Instruments Inc., June 2002 Version 1.4.1
Page 1 and 2: IQmath Library A Virtual Floating P
Page 3: IMPORTANT NOTICE Texas Instruments
Page 7 and 8: Function Name C28x IQmath LIBRARY B
Page 9 and 10: Chapter 1: Introduction 1.1. Introd
Page 11 and 12: Chapter 3: Using IQmath Library 3.1
Page 13 and 14: 3.3. Calling a IQmath Function from
Page 15 and 16: CASE II : A complete system consist
Page 17 and 18: Chapter 4: Function Summary The rou
Page 19 and 20: Trignometric Functions: Functions D
Page 21 and 22: Chapter 5: Function Description ©T
Page 23 and 24: IQNtoF Float to IQN data type Descr
Page 25 and 26: IQNint Integer part of IQN number D
Page 27 and 28: IQtoIQN GLOBAL_Q number to IQN Desc
Page 29 and 30: IQtoQN GLOBAL_Q number to QN Descri
Page 31 and 32: IQNmpy IQ Multiplication(IQN*IQN) D
Page 33 and 34: IQNrsmpy IQ Multiplication with rou
Page 35 and 36: IQNmpyI32int Integer portion of (IQ
Page 37 and 38: IQNmpyIQX Multiplication (GLOBAL_Q=
Page 39 and 40: C/C-Callable ASM Interface C/C-Call
Page 41 and 42: Fixed Point vs Floating Point Analy
Page 43 and 44: C-Callable ASM Interface C-Callable
Page 45 and 46: IQNsinPU Description Fixed point SI
Page 47 and 48: IQNsinPU Function vs C Float SIN: I
Page 49 and 50: C-Callable ASM Interface C-Callable
Page 51 and 52: IQNcosPU Fixed point COS (radians i
Page 53 and 54: Fixed Point vs Floating Point Analy
Page 55 and 56:
C/C-Callable ASM Interface C/C-Call
Page 57 and 58:
IQNatan2PU Description Fixed point
Page 59 and 60:
Fixed Point vs Floating Point Analy
Page 61 and 62:
Page 63 and 64:
Page 65 and 66:
IQNisqrt Fixed point Inverse Square
Page 67 and 68:
Fixed Point vs Floating Point Analy
Page 69 and 70:
IQNmag Magnitude of IQ complex numb
Page 71 and 72:
IQNabs Absolute value of IQ number
Page 73:
Appendix A: IQmath C-Calling Conven
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IQmath Library

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