Embedded Software and Motor Control Libraries for PXR40xx

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$Set of General Math and Motor Control Functions for ARM Cortex ...$

Function MLIB_VMac_F32F16F16 } // input4 value = 0.45 f32In4 = FRAC32 (0.45); // output should be FRAC32(0.195) = 0x18F5C28F f32Out = MLIB_VMac_F32(f32In1, f32In2, f32In3, f32In4); // output should be FRAC32(0.195) = 0x18F5C28F f32Out = MLIB_VMac (f32In1, f32In2, f32In3, f32In4, Define F32); // ############################################################## // Available only if 32-bit fractional implementation selected // as default // ############################################################## // output should be FRAC32(0.195) = 0x18F5C28F f32Out = MLIB_VMac (f32In1, f32In2, f32In3, f32In4); 4.181 Function MLIB_VMac_F32F16F16 This function implements the vector multiply accumulate function. 4.181.1 Declaration tFrac32 MLIB_VMac_F32F16F16(register tFrac16 f16In1, register tFrac16 f16In2, register tFrac16 f16In3, register tFrac16 f16In4); 4.181.2 Arguments Table 4-218. MLIB_VMac_F32F16F16 arguments Type Name Direction Description register tFrac16 f16In1 input First input value to first multiplication. register tFrac16 f16In2 input Second input value to first multiplication. register tFrac16 f16In3 input First input value to second multiplication. register tFrac16 f16In4 input Second input value to second multiplication. register tFrac16 f16In1 input First input value to first multiplication register tFrac16 f16In2 input Second input value to first multiplication register tFrac16 f16In3 input First input value to second multiplication register tFrac16 f16In4 input Second input value to second multiplication 4.181.3 Return Vector multiplied input values with addition.Vector multiplied input values with addition Embedded Software and Motor Control Libraries for PXR40xx, Rev. 1.0 676 Freescale Semiconductor, Inc.
4.181.4 Description This inline function returns the vector multiply accumulate of input values. The input values are considered as 16-bit fractional values and the output value is considered as 32bit fractional value. The output saturation is not implemented in this function, thus in case the vector multiply-add of input values is outside the (-1, 1) interval, the output value will overflow without any detection. The output of the function is defined by the following simple equation: Equation MLIB_VMac_Eq1 This inline function returns the vector multiply accumulate of input values. The input values are considered as 16-bit fractional values and the output value is considered as 32bit fractional value. The output saturation is not implemented in this function, thus in case the vector multiply-add of input values is outside the (-1, 1) interval, the output value will overflow without any detection. Note Due to effectivity reason this function is implemented as inline and thus is not ANSI-C compliant. 4.181.5 Re-entrancy The function is re-entrant. 4.181.6 Code Example #include "mlib.h" tFrac16 f16In1; tFrac16 f16In2; tFrac16 f16In3; tFrac16 f16In4; tFrac32 f32Out; void main(void) { // input1 value = 0.25 f16In1 = FRAC16 (0.25); // input2 value = 0.15 f16In2 = FRAC16 (0.15); Embedded Software and Motor Control Libraries for PXR40xx, Rev. 1.0 Chapter 4 API References Freescale Semiconductor, Inc. 677
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Embedded Software and Motor Control
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Contents Section number Title Page
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Section number Title Page 4.4.6 Cod
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Section number Title Page 4.13 Func
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Section number Title Page 4.101 Fun
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Section number Title Page 4.109 Fun
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Section number Title Page 4.116.6 C
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Section number Title Page 4.123.5 R
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Section number Title Page 4.146.6 C
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Section number Title Page 6.17.2 Co
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Section number Title Page 8.9 Defin
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Section number Title Page 8.28 Defi
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Section number Title Page 8.104 Def
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Chapter 1 1.1 License Agreement IMP
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Agreement, and require that you sto
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Chapter 1 ENTIRE RISK ARISING OUT O
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confidential information. The Licen
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Chapter 2 Introduction The aim of t
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Chapter 2 Introduction 2.2 General
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For example if the MCLIB_DEFAULT_IM
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and gmclib.h. This was done to simp
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Chapter 2 Introduction Figure 2-4.
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In order to integrate the Embedded
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Figure 2-12. Opening the C editor f
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Figure 2-15. Selecting the include
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• Library binary files located in
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Chapter 2 Introduction In order to
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Figure 2-24. Principle of MCLib tes
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2.13.2 MCLib target-in-loop Testing
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Chapter 3 3.1 Function Index Table
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Table 3-1. Quick function reference
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Chapter 4 API References This secti
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F32); tFrac32 f32CoefBuf[FIR_NUMTAP
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Equation GDFLIB_FilterFIR_Eq1 where
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F32); } GDFLIB_FilterFIRInit (&Para
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F16); tFrac16 f16CoefBuf[FIR_NUMTAP
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F16); } GDFLIB_FilterFIRInit (&Para
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FLT); tFloat fltCoefBuf[FIR_NUMTAPS
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} } // ############################
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4.8.3 Return The function returns a
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macro during instance declaration o
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4.9.6 Code Example #include "gdflib
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signal entering the state delay-lin
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4.11.2 Arguments Table 4-11. GDFLIB
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A general form of the IIR filter ex
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} flttrMyIIR1.trFiltCoeff.fltB0 = (
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freq_bot = 400; freq_top = 625; T_s
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4.15.4 Description This function cl
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In order to implement the second or
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} f16trMyIIR2.trFiltCoeff.f16B0 = F
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eplaced by output from the previous
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Note This function shall not be cal
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call. The number of the filtered po
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Figure 4-7. Course of the function
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Figure 4-8. acos(x) vs. GFLIB_Acos(
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4.26.2 Arguments Table 4-27. GFLIB_
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Table 4-28. Integer polynomial coef
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4.27 Function GFLIB_Acos_FLT This f
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The arccos(x) values are then calcu
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} // output should be 1.570796 fltA
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Equation GFLIB_Asin_Eq3 Equation GF
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4.28.5 Re-entrancy The function is
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where: Equation GFLIB_Asin_Eq1 •
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The computation algorithm for arcsi
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Figure 4-20 depicts a floating poin
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4.32.4 Description The GFLIB_Atan_F
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Figure 4-22. atan(x) vs. GFLIB_Atan
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Table 4-42. GFLIB_Atan_FLT argument
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Figure 4-24. atan(x) vs. GFLIB_Atan
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4.35.1 Declaration tFrac16 GFLIB_At
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4.36 Function GFLIB_AtanYX_FLT The
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4.37.1 Declaration tFrac32 GFLIB_At
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The algorithm can be easily justifi
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The function has been tested to be
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where: Equation GFLIB_AtanYXShifted
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The function initialization paramet
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} Param.f16Kx = FRAC16 (0.879052013
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where: Equation GFLIB_AtanYXShifted
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4.39.6 Code Example #include "gflib
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Equation GFLIB_ControllerPIp_Eq1 ca
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• f32PropGain - is the scaled val
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where Equation GFLIB_ControllerPIp_
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and where Equation GFLIB_Controller
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Proportional-Integral (PI) algorith
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} // output should be 1.5e-2 fltOut
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where T s [sec] is the sampling tim
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The bounds are described by a limit
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(GFLIB_CONTROLLER_PIAW_P_T_F16). If
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The sum of the scaled proportional
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as default // #####################
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where T s [sec] is the sampling tim
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where Equation GFLIB_ControllerPIr_
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} // output should be 0x00A3D70A f3
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Equation GFLIB_ControllerPIr_Eq5 Th
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GFLIB_CONTROLLER_PI_R_T_F16 trMyPI
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Note All controller parameters and
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Equation GFLIB_ControllerPIrAW_Eq2
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The introduced scaling shift u16NSh
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4.50 Function GFLIB_ControllerPIrAW
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Equation GFLIB_ControllerPIrAW_Eq5
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Note All controller parameters and
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Transforming equation GFLIB_Control
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4.52.1 Declaration tFrac32 GFLIB_Co
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where a 1...a 5 are coefficients of
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[- π, π ), the input f16In must b
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Figure 4-26. cos(x) vs. GFLIB_Cos(f
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Table 4-71. Approximation polynomia
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4.55 Function GFLIB_Hyst_F32 This f
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tFrac32 f32In; tFrac32 f32Out; GFLI
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CAUTION For correct functionality,
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Equation GFLIB_Hyst_Eq1 A graphical
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4.58.4 Description The function GFL
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void main(void) { // Setting parame
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where E MAX is the input scale and
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4.60.4 Description The function GFL
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4.62.4 Description The GFLIB_Limit
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} // output should be 0x60000000 ~
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4.66.1 Declaration tFloat GFLIB_Low
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4.67.4 Description where: Equation
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It should be noted that the computa
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Table 4-86. GFLIB_Lut1D_F16 argumen
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Equation GFLIB_Lut1D_Eq4 where y, y
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4.69 Function GFLIB_Lut1D_FLT This
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Equation GFLIB_Lut1D_Eq4 where y, y
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Equation GFLIB_Lut2D_Eq4 Equation G
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Equation GFLIB_Lut2D_Eq16 It should
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} // output should be 0x7A03D70A ~
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The Table 4-92 contains 4 interpola
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Equation GFLIB_Lut2D_Eq13 5. Final
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FRAC16 (0.2), FRAC16 (0.21), FRAC16
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where: Equation GFLIB_Lut2D_Eq3 •
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Equation GFLIB_Lut2D_Eq10 6. The sa
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0.88}; tFloat pfltTable2D[81] = {0.
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Figure 4-32. GFLIB_Ramp functionali
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If the desired (input) value is gre
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4.76.3 Return The function returns
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In mathematical terms, the function
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Note The input and the output are i
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The 9th order polynomial approximat
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Figure 4-34. sin(x) vs. GFLIB_Sin_F
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4.80.2 Arguments Table 4-101. GFLIB
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Therefore, the resulting equation h
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4.81 Function GFLIB_Sin_FLT This fu
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Figure 4-36 depicts a floating poin
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4.82.1 Declaration tFrac32 GFLIB_Sq
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} // output should be 0x5A820000 ~
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} // output should be 0x5A82 ~ FRAC
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Figure 4-39. real sqrt(x) vs. GFLIB
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Equation GFLIB_Tan_Eq1 Because both
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Figure 4-41. tan(x) vs. GFLIB_Tan(f
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4.86.1 Declaration tFrac16 GFLIB_Ta
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Equation GFLIB_Tan_Eq3 The division
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Figure 4-45. tan(x) vs. GFLIB_Tan(f
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4.88.1 Declaration tFrac32 GFLIB_Up
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4.89.4 Description The GFLIB_UpperL
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void main(void) { // upper limit fl
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Figure 4-46. Graphical interpretati
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4.92.2 Arguments Table 4-117. GFLIB
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• x in, y in and x out, y out are
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4.94.2 Arguments Table 4-119. GMCLI
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4.98.1 Declaration void GMCLIB_Clar
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4.99.1 Declaration void GMCLIB_Clar
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4.100.1 Declaration void GMCLIB_Dec
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The feed-forward voltages u_dq_comp
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Equation GMCLIB_DecouplingPMSM_Eq10
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4.101.2 Arguments Table 4-126. GMCL
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Equation GMCLIB_DecouplingPMSM_Eq4
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Scaling of both equations into the
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4.102.4 Description The quadrature
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available DC bus voltage. Therefore
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SWLIBS_2Syst_F32 f32OutAB; GMCLIB_E
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• maximal amplitude of the DC bus
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output beta component of the output
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• actual amplitude of the DC bus
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4.106 Function GMCLIB_Park_F32 This
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4.107 Function GMCLIB_Park_F16 This
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4.108 Function GMCLIB_Park_FLT This
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4.109 Function GMCLIB_ParkInv_F32 T
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4.110 Function GMCLIB_ParkInv_F16 T
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4.111 Function GMCLIB_ParkInv_FLT T
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4.112 Function GMCLIB_SvmStd_F32 Th
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Figure 4-50. Basic space vectors Th
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Figure 4-51. Projection of referenc
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Equation GMCLIB_SvmStd_Eq7 Equation
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Equation GMCLIB_SvmStd_Eq11 and equ
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For the determination of auxiliary
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Equation GMCLIB_SvmStd_Eq25 Equatio
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} // output pwm dutycycles stored i
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Top and bottom switches work in a c
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For the determination of auxiliary
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Equation GMCLIB_SvmStd_Eq25 Equatio
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} // output pwm dutycycles stored i
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such a vector allows a numerical de
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Table 4-150. Determination of t_1 a
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It should be pointed out that, in t
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calculation precision in boundary i
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Note Due to effectivity reason this
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4.116.3 Return Absolute value of in
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} // output should be FRAC16(0.25)
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tFrac32 f32Out; void main(void) { /
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4.120 Function MLIB_Add_F32 This fu
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4.121.6 Code Example #include "mlib
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4.122.4 Description This inline fun
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4.123 Function MLIB_AddSat_F32 This
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4.125.3 Return Converted input valu
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and converted to the output format.
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Equation MLIB_Convert_Eq1 Note Due
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4.132 Function MLIB_ConvertPU_F32FL
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4.133.3 Return Converted input valu
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4.136 Function MLIB_ConvertPU_FLTF3
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denominator, the output value is un
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Equation MLIB_Div_Eq1 Note Due to e
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} // output should be FRAC16(0.5) =
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} // output should be FRAC32(0.3025
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} f32Out = MLIB_Mac_F32F16F16(f32In
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} // output should be FRAC16(0.3025
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} // ##############################
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4.147 Function MLIB_MacSat_F32F16F1
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4.148.2 Arguments Table 4-185. MLIB
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Table 4-186. MLIB_Mul_F32 arguments
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void main(void) { // first input =
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} // output should be 0x10000000 =
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4.152.4 Description Single precisio
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4.153 Function MLIB_MulSat_F32 This
Page 625 and 626: Equation MLIB_MulSat_Eq1 Note Overf
Page 627 and 628: Note Overflow is detected. The func
Page 629 and 630: 4.155.3 Return Fractional multiplic
Page 631 and 632: } f16In2 = FRAC16 (0.75); // output
Page 633 and 634: 4.157.1 Declaration tFrac16 MLIB_Ne
Page 635 and 636: 4.158.4 Description This inline fun
Page 637 and 638: Note Due to effectivity reason this
Page 639 and 640: 4.160.6 Code Example #include "mlib
Page 641 and 642: 4.162.1 Declaration tU16 MLIB_Norm_
Page 643 and 644: 4.163.4 Description This function r
Page 647 and 648: } // output should be 0x10000000 ~
Page 649 and 650: 4.167.2 Arguments Table 4-204. MLIB
Page 651 and 652: 4.168.4 Description Based on sign o
Page 655 and 656: } // output should be 0x4000 ~ FRAC
Page 659 and 660: Note The shift amount cannot exceed
Page 661 and 662: } u16In2 = 1; // output should be 0
Page 663 and 664: } // ##############################
Page 665 and 666: Subtraction of two fractional 16-bi
Page 671 and 672: } // output should be 0x20000000 f3
Page 673 and 674: } // as default // ################
Page 675: } f32In3 = FRAC32 (0.35); // input4
Page 679 and 680: } // output should be FRAC32(0.195)
Page 681 and 682: } // as default // ################
Page 683 and 684: 4.183.4 Description This inline fun
Page 685 and 686: } // input4 value = 0.45 fltIn4 = 0
Page 687 and 688: Chapter 5 5.1 Typedefs Index Table
Page 689 and 690: Chapter 6 Compound Data Types Table
Page 691 and 692: Table 6-1. Compound data types over
Page 693 and 694: 6.2 GDFLIB_FILTER_IIR1_COEFF_T_F32
Page 695 and 696: 6.6 GDFLIB_FILTER_IIR1_T_FLT #inclu
Page 697 and 698: 6.9.2 Compound Type Members Table 6
Page 699 and 700: 6.13 GDFLIB_FILTER_MA_T_F16 #includ
Page 701 and 702: 6.17 GDFLIB_FILTERFIR_PARAM_T_F32 #
Page 703 and 704: 6.21 GDFLIB_FILTERFIR_STATE_T_FLT #
Page 705 and 706: 6.25.1 Description Array of approxi
Page 707 and 708: 6.29.2 Compound Type Members Table
Page 713 and 714: 6.41 GFLIB_CONTROLLER_PI_P_T_F32 #i
Page 715 and 716: 6.44 GFLIB_CONTROLLER_PI_R_T_F32 #i
Page 717 and 718: Table 6-47. GFLIB_CONTROLLER_PIAW_P
Page 719 and 720: 6.49.1 Description Structure contai
Page 721 and 722: Table 6-52. GFLIB_CONTROLLER_PIAW_R
Page 725 and 726: 6.59 GFLIB_INTEGRATOR_TR_T_F32 #inc
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6.63 GFLIB_LIMIT_T_FLT #include 6.
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6.67.2 Compound Type Members Table
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6.71 GFLIB_LUT2D_T_F32 #include 6.
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Chapter 7 7.1 Macro Definitions 7.1
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#define GDFLIB_FILTERFIR_PARAM_T #d
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#define GFLIB_ASIN_T #define GFLIB_
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#define GFLIB_CONTROLLER_PI_R_T #de
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#define GFLIB_LUT1D_DEFAULT #define
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#define GFLIB_Tan #define GFLIB_UPP
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#define INT32TOINT64 #define INT32_
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Chapter 8 Macro References This sec
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Definition of alias for GDFLIB_FILT
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Definition of alias for GDFLIB_FILT
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8.13.1 Macro Definition #define GDF
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Definition of GDFLIB_FILTER_IIR1_DE
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8.21.2 Description This function im
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8.25.2 Description Definition of GD
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Definition of GDFLIB_FILTER_MA_DEFA
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8.42.1 Macro Definition #define GFL
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8.46.2 Description Definition of GF
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8.51 Define GFLIB_ACOS_DEFAULT_FLT
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8.59.2 Description Default approxim
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8.73.2 Description This function ca
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8.77 Define GFLIB_ControllerPIp #in
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Definition of GFLIB_CONTROLLER_PI_P
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8.84 Define GFLIB_CONTROLLER_PI_P_D
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Definition of GFLIB_CONTROLLER_PIAW
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8.92 Define GFLIB_CONTROLLER_PIAW_P
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8.96 Define GFLIB_CONTROLLER_PIAW_P
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8.100 Define GFLIB_CONTROLLER_PI_R_
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8.103.2 Description Definition of G
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8.108.1 Macro Definition #define GF
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8.120 Define GFLIB_COS_T #include
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8.124 Define GFLIB_COS_DEFAULT_F32
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8.129 Define GFLIB_HYST_T #include
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8.133 Define GFLIB_HYST_DEFAULT #in
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8.138 Define GFLIB_INTEGRATOR_TR_T
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8.150 Define GFLIB_LIMIT_T #include
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8.154 Define GFLIB_LIMIT_DEFAULT_F3
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8.159 Define GFLIB_LOWERLIMIT_T #in
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Definition of GFLIB_LOWERLIMIT_DEFA
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8.176 Define GFLIB_LUT1D_DEFAULT_FL
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Page 851 and 852:
8.184.2 Description Default value f
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Page 855 and 856:
Page 857 and 858:
8.198.2 Description This function i
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Definition of GFLIB_SIN_DEFAULT as
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Page 865 and 866:
Page 867 and 868:
Page 869 and 870:
8.225 Define GFLIB_UPPERLIMIT_DEFAU
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8.229 Define GFLIB_UPPERLIMIT_DEFAU
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Page 875 and 876:
8.237 Define GFLIB_VECTORLIMIT_DEFA
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8.242.1 Macro Definition #define GM
Page 879 and 880:
8.246 Define GMCLIB_DECOUPLINGPMSM_
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8.249.2 Description Default value f
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Definition of GMCLIB_ELIMDCBUSRIP_D
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8.267.2 Description This function r
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8.273 Define MLIB_Mac #include 8.2
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8.278.1 Macro Definition #define ML
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8.283.2 Description This function s
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8.289 Define MCLIB_VERSION #include
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8.294.2 Description 8.295 Define MC
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8.300.1 Macro Definition #define MC
Page 903 and 904:
8.305.2 Description Constant repres
Page 905 and 906:
8.310.2 Description Value 0.25 in 3
Page 907 and 908:
8.316 Define FLOAT_MIN #include 8.
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8.321.1 Macro Definition #define IN
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8.326.2 Description Type casting -
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8.332 Define INT16TOF32 #include 8
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8.337.1 Macro Definition #define F1
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8.342.1 Macro Definition #define F3
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8.347.1 Macro Definition #define FL
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8.352.2 Description Double to singl
Page 923 and 924:
8.358 Define FLOAT_MINUS_1 #include
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8.363.2 Description Library identif
Page 927:
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Embedded Software and Motor Control Libraries for PXR40xx

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