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153 lines
3.3 KiB
C
153 lines
3.3 KiB
C
/*
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PURPOSE:
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(Quaternion math in line code macros.)
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REFERENCE:
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((None))
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PROGRAMMERS:
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(((David Hammen) (Odyssey) (May 2005) (RDLaa07016) (Initial release.)))
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*/
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/**
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@page QUATERNIAN_MACROS Quaternian Macros
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Include:
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$TRICK_HOME/trick_source/trick_utils/math/include/quat_macros.h
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This set of macros operates on quaternians which are represented
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as an array of four floating point types (i,e., double quat[4] or float quat[4]).
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- Element 0 of the array represents the scalar part of the quaternian.
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- Elements 1..3 of the array represent the vector part of the quaternian.
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*/
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#ifndef _QUAT_MACROS_H_
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#define _QUAT_MACROS_H_
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#include "trick/vector_macros.h"
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/**
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@page QUATERNIAN_MACROS
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\b Q_IDENT( Q)
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Set Q to the identity quaternian.
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Q = (1.0, 0.0, 0.0, 0.0)
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*/
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#define Q_IDENT(quat) { \
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*quat = 1.0; \
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V_INIT ((quat+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b Q_COPY(D, S)
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Copy quaternian S to quaternian D.
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*/
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#define Q_COPY(dest,src) { \
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*dest = *src; \
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V_COPY ((dest+1), (src+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b Q_SCALE(D, Q, C)
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Assign the product of quaternian Q and scalar C to quaternian D.
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*/
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#define Q_SCALE(dest,src,scale) { \
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*dest = *src * scale; \
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V_SCALE ((dest+1), (src+1), scale); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b Q_TRANS(D, Q)
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Assign the conjugate of quaternian Q to quaternian D.
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*/
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#define Q_TRANS(dest,src) { \
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*dest = *src; \
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V_NEGATE ((dest+1), (src+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b QxQ(D, A, B)
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Assign the product of quaternian A and quaternian B to quaternian D.
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*/
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#define QxQ(dest,quat1,quat2) { \
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*dest = *quat1 * *quat2 - V_DOT ((quat1+1), (quat2+1)); \
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V_SCALE ((dest+1), (quat2+1), *quat1); \
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VxS_ADD ((dest+1), (quat1+1), *quat2); \
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VxV_ADD ((dest+1), (quat1+1), (quat2+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b QtxQ(D, A, B)
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Assign the product of quaternian A conjugate and B to quaternian D.
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*/
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#define QtxQ(dest,quat1,quat2) { \
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*dest = *quat1 * *quat2 + V_DOT ((quat1+1), (quat2+1)); \
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V_SCALE ((dest+1), (quat2+1), *quat1); \
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VxS_SUB ((dest+1), (quat1+1), *quat2); \
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VxV_SUB ((dest+1), (quat1+1), (quat2+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b QxQt(D, A, B)
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Assign the product of quaternian A and quaternian B conjugate to quaternian D.
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*/
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#define QxQt(dest,quat1,quat2) { \
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*dest = *quat1 * *quat2 + V_DOT ((quat1+1), (quat2+1)); \
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V_SCALE ((dest+1), (quat1+1), *quat2); \
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VxS_SUB ((dest+1), (quat2+1), *quat1); \
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VxV_SUB ((dest+1), (quat1+1), (quat2+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b VxQ(D, V, Q)
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Assign the product of vector V and quaternian Q to quaternian D.
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*/
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#define VxQ(dest,vec,quat) { \
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*dest = - V_DOT (vec, (quat+1)); \
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V_SCALE ((dest+1), vec, *quat); \
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VxV_ADD ((dest+1), vec, (quat+1)); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b QxV(D, Q, V)
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Assign the product of quaternian Q and vector V to quaternian D.
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*/
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#define QxV(dest,quat,vec) { \
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*dest = - V_DOT ((quat+1), vec); \
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V_SCALE ((dest+1), vec, *quat); \
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VxV_ADD ((dest+1), (quat+1), vec); \
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}
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/**
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@page QUATERNIAN_MACROS
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\b Q_dot(Qdot, Q, V)
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Assign the time derivative of quaternian Q given an angular velocity V to Qdot.
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*/
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#define Q_dot(qdot,quat,omega) { \
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double v[3];\
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V_SCALE(v, omega , -0.5);\
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*qdot = - V_DOT((quat+1), v);\
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V_SCALE ((qdot+1), v, *quat);\
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VxV_ADD ((qdot+1), v, (quat+1)); \
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}
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#endif /* _QUAT_MACROS_H_ DO NOT PUT ANYTHING AFTER THIS LINE */
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