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/*!
********************************************************************
* Description: tc.c
*\brief Discriminate-based trajectory planning
*
*\author Derived from a work by Fred Proctor & Will Shackleford
*\author rewritten by Chris Radek
*
* License: GPL Version 2
* System: Linux
*
* Copyright (c) 2004 All rights reserved.
*
* Last change:
********************************************************************/
#include "rtapi.h" /* rtapi_print_msg */
#include "rtapi_math.h"
#include "posemath.h"
#include "blendmath.h"
#include "emcpose.h"
#include "tc.h"
#include "tp_types.h"
#include "spherical_arc.h"
#include "motion_types.h"
//Debug output
#include "tp_debug.h"
int tcCircleStartAccelUnitVector(TC_STRUCT const * const tc, PmCartesian * const out)
{
PmCartesian startpoint;
PmCartesian radius;
PmCartesian tan, perp;
pmCirclePoint(&tc->coords.circle.xyz, 0.0, &startpoint);
pmCartCartSub(&startpoint, &tc->coords.circle.xyz.center, &radius);
pmCartCartCross(&tc->coords.circle.xyz.normal, &radius, &tan);
pmCartUnitEq(&tan);
//The unit vector's actual direction is adjusted by the normal
//acceleration here. This unit vector is NOT simply the tangent
//direction.
pmCartCartSub(&tc->coords.circle.xyz.center, &startpoint, &perp);
pmCartUnitEq(&perp);
pmCartScalMult(&tan, tc->maxaccel, &tan);
pmCartScalMultEq(&perp, pmSq(0.5 * tc->reqvel)/tc->coords.circle.xyz.radius);
pmCartCartAdd(&tan, &perp, out);
pmCartUnitEq(out);
return 0;
}
int tcCircleEndAccelUnitVector(TC_STRUCT const * const tc, PmCartesian * const out)
{
PmCartesian endpoint;
PmCartesian radius;
pmCirclePoint(&tc->coords.circle.xyz, tc->coords.circle.xyz.angle, &endpoint);
pmCartCartSub(&endpoint, &tc->coords.circle.xyz.center, &radius);
pmCartCartCross(&tc->coords.circle.xyz.normal, &radius, out);
pmCartUnitEq(out);
return 0;
}
/**
* Get the acceleration direction unit vector for blend velocity calculations.
* This calculates the direction of acceleration at the start of a segment.
*/
int tcGetStartAccelUnitVector(TC_STRUCT const * const tc, PmCartesian * const out) {
switch (tc->motion_type) {
case TC_LINEAR:
case TC_RIGIDTAP:
*out=tc->coords.line.xyz.uVec;
break;
case TC_CIRCULAR:
tcCircleStartAccelUnitVector(tc,out);
break;
case TC_SPHERICAL:
return -1;
default:
return -1;
}
return 0;
}
/**
* Get the acceleration direction unit vector for blend velocity calculations.
* This calculates the direction of acceleration at the end of a segment.
*/
int tcGetEndAccelUnitVector(TC_STRUCT const * const tc, PmCartesian * const out) {
switch (tc->motion_type) {
case TC_LINEAR:
*out=tc->coords.line.xyz.uVec;
break;
case TC_RIGIDTAP:
pmCartScalMult(&tc->coords.line.xyz.uVec, -1.0, out);
break;
case TC_CIRCULAR:
tcCircleEndAccelUnitVector(tc,out);
break;
case TC_SPHERICAL:
return -1;
default:
return -1;
}
return 0;
}
int tcGetIntersectionPoint(TC_STRUCT const * const prev_tc,
TC_STRUCT const * const tc, PmCartesian * const point)
{
// TODO NULL pointer check?
// Get intersection point from geometry
if (tc->motion_type == TC_LINEAR) {
*point = tc->coords.line.xyz.start;
} else if (prev_tc->motion_type == TC_LINEAR) {
*point = prev_tc->coords.line.xyz.end;
} else if (tc->motion_type == TC_CIRCULAR){
pmCirclePoint(&tc->coords.circle.xyz, 0.0, point);
} else {
return TP_ERR_FAIL;
}
return TP_ERR_OK;
}
/**
* Find the geometric tangent vector to a helical arc.
* Unlike the acceleration vector, the result of this calculation is a vector
* tangent to the helical arc. This is called by wrapper functions for the case of a circular or helical arc.
*/
int pmCircleTangentVector(PmCircle const * const circle,
double angle_in, PmCartesian * const out)
{
PmCartesian startpoint;
PmCartesian radius;
PmCartesian uTan, dHelix, dRadial;
// Get vector in radial direction
pmCirclePoint(circle, angle_in, &startpoint);
pmCartCartSub(&startpoint, &circle->center, &radius);
/* Find local tangent vector using planar normal. Assuming a differential
* angle dtheta, the tangential component of the tangent vector is r *
* dtheta. Since we're normalizing the vector anyway, assume dtheta = 1.
*/
pmCartCartCross(&circle->normal, &radius, &uTan);
// find dz/dtheta and get differential movement along helical axis
double h;
pmCartMag(&circle->rHelix, &h);
/* the binormal component of the tangent vector is (dz / dtheta) * dtheta.
*/
double dz = 1.0 / circle->angle;
pmCartScalMult(&circle->rHelix, dz, &dHelix);
pmCartCartAddEq(&uTan, &dHelix);
/* The normal component is (dr / dtheta) * dtheta.
*/
double dr = circle->spiral / circle->angle;
pmCartUnit(&radius, &dRadial);
pmCartScalMultEq(&dRadial, dr);
pmCartCartAddEq(&uTan, &dRadial);
//Normalize final output vector
pmCartUnit(&uTan, out);
return 0;
}
/**
* Calulate the unit tangent vector at the start of a move for any segment.
*/
int tcGetStartTangentUnitVector(TC_STRUCT const * const tc, PmCartesian * const out) {
switch (tc->motion_type) {
case TC_LINEAR:
*out=tc->coords.line.xyz.uVec;
break;
case TC_RIGIDTAP:
*out=tc->coords.rigidtap.xyz.uVec;
break;
case TC_CIRCULAR:
pmCircleTangentVector(&tc->coords.circle.xyz, 0.0, out);
break;
default:
rtapi_print_msg(RTAPI_MSG_ERR, "Invalid motion type %d!\n",tc->motion_type);
return -1;
}
return 0;
}
/**
* Calulate the unit tangent vector at the end of a move for any segment.
*/
int tcGetEndTangentUnitVector(TC_STRUCT const * const tc, PmCartesian * const out) {
switch (tc->motion_type) {
case TC_LINEAR:
*out=tc->coords.line.xyz.uVec;
break;
case TC_RIGIDTAP:
pmCartScalMult(&tc->coords.rigidtap.xyz.uVec, -1.0, out);
break;
case TC_CIRCULAR:
pmCircleTangentVector(&tc->coords.circle.xyz,
tc->coords.circle.xyz.angle, out);
break;
default:
rtapi_print_msg(RTAPI_MSG_ERR, "Invalid motion type %d!\n",tc->motion_type);
return -1;
}
return 0;
}
/*! tcGetPos() function
*
* \brief This function calculates the machine position along the motion's path.
*
* As we move along a TC, from zero to its length, we call this function repeatedly,
* with an increasing tc->progress.
* This function calculates the machine position along the motion's path
* corresponding to the current progress.
* It gets called at the end of tpRunCycle()
*
* @param tc the current TC that is being planned
*
* @return EmcPose returns a position (\ref EmcPose = datatype carrying XYZABC information
*/
int tcGetPos(TC_STRUCT const * const tc, EmcPose * const out) {
tcGetPosReal(tc, TC_GET_PROGRESS, out);
return 0;
}
int tcGetStartpoint(TC_STRUCT const * const tc, EmcPose * const out) {
tcGetPosReal(tc, TC_GET_STARTPOINT, out);
return 0;
}
int tcGetEndpoint(TC_STRUCT const * const tc, EmcPose * const out) {
tcGetPosReal(tc, TC_GET_ENDPOINT, out);
return 0;
}
int tcGetPosReal(TC_STRUCT const * const tc, int of_point, EmcPose * const pos)
{
PmCartesian xyz;
PmCartesian abc;
PmCartesian uvw;
double progress=0.0;
switch (of_point) {
case TC_GET_PROGRESS:
progress = tc->progress;
break;
case TC_GET_ENDPOINT:
progress = tc->target;
break;
case TC_GET_STARTPOINT:
progress = 0.0;
break;
}
switch (tc->motion_type){
case TC_RIGIDTAP:
if(tc->coords.rigidtap.state > REVERSING) {
pmCartLinePoint(&tc->coords.rigidtap.aux_xyz, progress, &xyz);
} else {
pmCartLinePoint(&tc->coords.rigidtap.xyz, progress, &xyz);
}
// no rotary move allowed while tapping
abc = tc->coords.rigidtap.abc;
uvw = tc->coords.rigidtap.uvw;
break;
case TC_LINEAR:
pmCartLinePoint(&tc->coords.line.xyz,
progress * tc->coords.line.xyz.tmag / tc->target,
&xyz);
pmCartLinePoint(&tc->coords.line.uvw,
progress * tc->coords.line.uvw.tmag / tc->target,
&uvw);
pmCartLinePoint(&tc->coords.line.abc,
progress * tc->coords.line.abc.tmag / tc->target,
&abc);
break;
case TC_CIRCULAR:
pmCirclePoint(&tc->coords.circle.xyz,
progress * tc->coords.circle.xyz.angle / tc->target,
&xyz);
pmCartLinePoint(&tc->coords.circle.abc,
progress * tc->coords.circle.abc.tmag / tc->target,
&abc);
pmCartLinePoint(&tc->coords.circle.uvw,
progress * tc->coords.circle.uvw.tmag / tc->target,
&uvw);
break;
case TC_SPHERICAL:
arcPoint(&tc->coords.arc.xyz,
progress,
&xyz);
abc = tc->coords.arc.abc;
uvw = tc->coords.arc.uvw;
break;
}
pmCartesianToEmcPose(&xyz, &abc, &uvw, pos);
return 0;
}
/**
* Set the terminal condition of a segment.
* This function will eventually handle state changes associated with altering a terminal condition.
*/
int tcSetTermCond(TC_STRUCT * const tc, int term_cond) {
tp_debug_print("setting term condition %d on tc id %d, type %d\n", term_cond, tc->id, tc->motion_type);
tc->term_cond = term_cond;
return 0;
}
/**
* Connect a blend arc to the two line segments it blends.
* Starting with two adjacent line segments, this function shortens each
* segment to connect them with the newly created blend arc. The "previous"
* segment gets a new end point, while the next segment gets a new start point.
* After the operation is complete the result is a set of 3 connected segments
* (line-arc-line).
*/
int tcConnectBlendArc(TC_STRUCT * const prev_tc, TC_STRUCT * const tc,
PmCartesian const * const circ_start,
PmCartesian const * const circ_end) {
/* Only shift XYZ for now*/
if (prev_tc) {
tp_debug_print("connect: keep prev_tc\n");
//Have prev line, need to shorten it
pmCartLineInit(&prev_tc->coords.line.xyz,
&prev_tc->coords.line.xyz.start, circ_start);
tp_debug_print("Old target = %f\n", prev_tc->target);
prev_tc->target = prev_tc->coords.line.xyz.tmag;
tp_debug_print("Target = %f\n",prev_tc->target);
//Setup tangent blending constraints
tcSetTermCond(prev_tc, TC_TERM_COND_TANGENT);
tp_debug_print(" L1 end : %f %f %f\n",prev_tc->coords.line.xyz.end.x,
prev_tc->coords.line.xyz.end.y,
prev_tc->coords.line.xyz.end.z);
} else {
tp_debug_print("connect: consume prev_tc\n");
}
//Shorten next line
pmCartLineInit(&tc->coords.line.xyz, circ_end, &tc->coords.line.xyz.end);
tp_info_print(" L2: old target = %f\n", tc->target);
tc->target = tc->coords.line.xyz.tmag;
tp_info_print(" L2: new target = %f\n", tc->target);
tp_debug_print(" L2 start : %f %f %f\n",tc->coords.line.xyz.start.x,
tc->coords.line.xyz.start.y,
tc->coords.line.xyz.start.z);
//Disable flag for parabolic blending with previous
tc->blend_prev = 0;
tp_info_print(" Q1: %f %f %f\n",circ_start->x,circ_start->y,circ_start->z);
tp_info_print(" Q2: %f %f %f\n",circ_end->x,circ_end->y,circ_end->z);
return 0;
}
/**
* Check if the current segment is actively blending.
* Checks if a blend should start based on acceleration and velocity criteria.
* Also saves this status so that the blend continues until the segment is
* done.
*/
int tcIsBlending(TC_STRUCT * const tc) {
//FIXME Disabling blends for rigid tap cycle until changes can be verified.
int is_blending_next = (tc->term_cond == TC_TERM_COND_PARABOLIC ) &&
tc->on_final_decel && (tc->currentvel < tc->blend_vel) &&
tc->motion_type != TC_RIGIDTAP;
//Latch up the blending_next status here, so that even if the prev conditions
//aren't necessarily true we still blend to completion once the blend
//starts.
tc->blending_next |= is_blending_next;
return tc->blending_next;
}
int tcFindBlendTolerance(TC_STRUCT const * const prev_tc,
TC_STRUCT const * const tc, double * const T_blend, double * const nominal_tolerance)
{
const double tolerance_ratio = 0.25;
double T1 = prev_tc->tolerance;
double T2 = tc->tolerance;
//Detect zero tolerance = no tolerance and force to reasonable maximum
if (T1 == 0) {
T1 = prev_tc->nominal_length * tolerance_ratio;
}
if (T2 == 0) {
T2 = tc->nominal_length * tolerance_ratio;
}
*nominal_tolerance = fmin(T1,T2);
//Blend tolerance is the limit of what we can reach by blending alone,
//consuming half a segment or less (parabolic equivalent)
double blend_tolerance = fmin(fmin(*nominal_tolerance,
prev_tc->nominal_length * tolerance_ratio),
tc->nominal_length * tolerance_ratio);
*T_blend = blend_tolerance;
return 0;
}
/**
* Check for early stop conditions.
* If a variety of conditions are true, then we can't do blending as we expect.
* This function checks for any conditions that force us to stop on the current
* segment. This is different from pausing or aborting, which can happen any
* time.
*/
int tcFlagEarlyStop(TC_STRUCT * const tc,
TC_STRUCT * const nexttc)
{
if (!tc || !nexttc) {
return TP_ERR_NO_ACTION;
}
if(tc->synchronized != TC_SYNC_POSITION && nexttc->synchronized == TC_SYNC_POSITION) {
// we'll have to wait for spindle sync; might as well
// stop at the right place (don't blend)
tp_debug_print("waiting on spindle sync for tc %d\n", tc->id);
tcSetTermCond(tc, TC_TERM_COND_STOP);
}
if(nexttc->atspeed) {
// we'll have to wait for the spindle to be at-speed; might as well
// stop at the right place (don't blend), like above
// FIXME change the values so that 0 is exact stop mode
tp_debug_print("waiting on spindle atspeed for tc %d\n", tc->id);
tcSetTermCond(tc, TC_TERM_COND_STOP);
}
return TP_ERR_OK;
}
double pmLine9Target(PmLine9 * const line9)
{
if (!line9->xyz.tmag_zero) {
return line9->xyz.tmag;
} else if (!line9->uvw.tmag_zero) {
return line9->uvw.tmag;
} else if (!line9->abc.tmag_zero) {
return line9->abc.tmag;
} else {
rtapi_print_msg(RTAPI_MSG_ERR,"line can't have zero length!\n");
//FIXME yet it does return zero...
return 0;
}
}
/**
* Initialize a new trajectory segment with common parameters.
*
* NOTE: this function only sets default values that are non-zero. Make sure
* the struct is properly initialized BEFORE calling this function.
*/
int tcInit(TC_STRUCT * const tc,
int motion_type,
int canon_motion_type,
double cycle_time,
unsigned char enables,
char atspeed)
{
/** Motion type setup */
tc->motion_type = motion_type;
tc->canon_motion_type = canon_motion_type;
tc->atspeed = atspeed;
/** Segment settings passed down from interpreter*/
tc->enables = enables;
tc->cycle_time = cycle_time;
tc->id = -1; //ID to be set when added to queue (may change before due to blend arcs)
/** Segment settings (given values later during setup / optimization) */
tc->indexrotary = -1;
tc->active_depth = 1;
return TP_ERR_OK;
}
/**
* Set kinematic properties for a trajectory segment.
*/
int tcSetupMotion(TC_STRUCT * const tc,
double vel,
double ini_maxvel,
double acc)
{
tc->maxaccel = acc;
tc->maxvel = ini_maxvel;
tc->reqvel = vel;
// Initial guess at target velocity is just the requested velocity
tc->target_vel = vel;
return TP_ERR_OK;
}
int tcSetupState(TC_STRUCT * const tc, TP_STRUCT const * const tp)
{
tcSetTermCond(tc, tp->termCond);
tc->tolerance = tp->tolerance;
tc->synchronized = tp->synchronized;
tc->uu_per_rev = tp->uu_per_rev;
return TP_ERR_OK;
}
int pmLine9Init(PmLine9 * const line9,
EmcPose const * const start,
EmcPose const * const end)
{
// Scratch variables
PmCartesian start_xyz, end_xyz;
PmCartesian start_uvw, end_uvw;
PmCartesian start_abc, end_abc;
// Convert endpoint to cartesian representation
emcPoseToPmCartesian(start, &start_xyz, &start_abc, &start_uvw);
emcPoseToPmCartesian(end, &end_xyz, &end_abc, &end_uvw);
// Initialize cartesian line members
int xyz_fail = pmCartLineInit(&line9->xyz, &start_xyz, &end_xyz);
int abc_fail = pmCartLineInit(&line9->abc, &start_abc, &end_abc);
int uvw_fail = pmCartLineInit(&line9->uvw, &start_uvw, &end_uvw);
if (xyz_fail || abc_fail || uvw_fail) {
rtapi_print_msg(RTAPI_MSG_ERR,"Failed to initialize Line9, err codes %d, %d, %d\n",
xyz_fail,abc_fail,uvw_fail);
return TP_ERR_FAIL;
}
return TP_ERR_OK;
}
int pmCircle9Init(PmCircle9 * const circ9,
EmcPose const * const start,
EmcPose const * const end,
PmCartesian const * const center,
PmCartesian const * const normal,
int turn)
{
PmCartesian start_xyz, end_xyz;
PmCartesian start_uvw, end_uvw;
PmCartesian start_abc, end_abc;
emcPoseToPmCartesian(start, &start_xyz, &start_abc, &start_uvw);
emcPoseToPmCartesian(end, &end_xyz, &end_abc, &end_uvw);
int xyz_fail = pmCircleInit(&circ9->xyz, &start_xyz, &end_xyz, center, normal, turn);
//Initialize line parts of Circle9
int abc_fail = pmCartLineInit(&circ9->abc, &start_abc, &end_abc);
int uvw_fail = pmCartLineInit(&circ9->uvw, &start_uvw, &end_uvw);
if (xyz_fail || abc_fail || uvw_fail) {
rtapi_print_msg(RTAPI_MSG_ERR,"Failed to initialize Circle9, err codes %d, %d, %d\n",
xyz_fail, abc_fail, uvw_fail);
return TP_ERR_FAIL;
}
return TP_ERR_OK;
}
double pmCircle9Target(PmCircle9 const * const circ9)
{
double helix_z_component; // z of the helix's cylindrical coord system
double helix_length;
pmCartMag(&circ9->xyz.rHelix, &helix_z_component);
double planar_arc_length = circ9->xyz.angle * circ9->xyz.radius;
helix_length = pmSqrt(pmSq(planar_arc_length) +
pmSq(helix_z_component));
return helix_length;
}
/**
* "Finalizes" a segment so that its length can't change.
* By setting the finalized flag, we tell the optimizer that this segment's
* length won't change anymore. Since any blends are already set up, we can
* trust that the length will be the same, and so can use the length in the
* velocity optimization.
*/
int tcFinalizeLength(TC_STRUCT * const tc)
{
//Apply velocity corrections
if (!tc) {
tp_debug_print("Missing prev_tc in finalize!\n");
return TP_ERR_FAIL;
}
if (tc->finalized) {
tp_debug_print("tc %d already finalized\n", tc->id);
return TP_ERR_NO_ACTION;
}
tp_debug_print("Finalizing tc id %d, type %d\n", tc->id, tc->motion_type);
//TODO function to check for parabolic?
int parabolic = (tc->blend_prev || tc->term_cond == TC_TERM_COND_PARABOLIC);
tp_debug_print("blend_prev = %d, term_cond = %d\n",tc->blend_prev, tc->term_cond);
if (tc->motion_type == TC_CIRCULAR) {
tc->maxvel = pmCircleActualMaxVel(&tc->coords.circle.xyz, tc->maxvel, tc->maxaccel, parabolic);
}
tc->finalized = 1;
return TP_ERR_OK;
}
int pmRigidTapInit(PmRigidTap * const tap,
EmcPose const * const start,
EmcPose const * const end)
{
PmCartesian start_xyz, end_xyz;
PmCartesian abc, uvw;
//Slightly more allocation this way, but much easier to read
emcPoseToPmCartesian(start, &start_xyz, &abc, &uvw);
emcPoseGetXYZ(end, &end_xyz);
// Setup XYZ motion
pmCartLineInit(&tap->xyz, &start_xyz, &end_xyz);
// Copy over fixed ABC and UVW points
tap->abc = abc;
tap->uvw = uvw;
// Setup initial tap state
tap->reversal_target = tap->xyz.tmag;
tap->state = TAPPING;
return TP_ERR_OK;
}
int pmRigidTapTarget(PmRigidTap * const tap, double uu_per_rev)
{
// allow 10 turns of the spindle to stop - we don't want to just go on forever
return tap->xyz.tmag + 10. * uu_per_rev;
}
/** Returns true if segment has ONLY rotary motion, false otherwise. */
int tcPureRotaryCheck(TC_STRUCT const * const tc)
{
return (tc->motion_type == TC_LINEAR) &&
(tc->coords.line.xyz.tmag_zero) &&
(tc->coords.line.uvw.tmag_zero);
}
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