delta: Make it clear that a "virtual tower" is created
The delta code calculates a "virtual tower" along the line of movement. Rework the variable names and comments to make it clear that this is occurring. It is not necessary to pass the start_pos variable to the C code as it is simple to update the start_pos at the start of each movement. Signed-off-by: Kevin O'Connor <kevin@koconnor.net>
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@ -25,9 +25,8 @@ defs_stepcompress = """
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int32_t stepcompress_push_const(struct stepcompress *sc, double clock_offset
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, double step_offset, double steps, double start_sv, double accel);
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int32_t stepcompress_push_delta(struct stepcompress *sc
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, double clock_offset, double start_pos, double steps, double start_sv
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, double accel, double height, double closestxy_sd
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, double closest_height2, double movez_r);
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, double clock_offset, double move_sd, double start_sv, double accel
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, double height, double startxy_sd, double arm_d, double movez_r);
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struct steppersync *steppersync_alloc(struct serialqueue *sq
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, struct stepcompress **sc_list, int sc_num, int move_num);
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@ -162,23 +162,24 @@ class DeltaKinematics:
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limit_xy2 = -1.
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self.limit_xy2 = min(limit_xy2, self.slow_xy2)
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def move(self, move_time, move):
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if self.need_motor_enable:
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self._check_motor_enable(move_time)
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axes_d = move.axes_d
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move_d = movexy_d = move.move_d
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movexy_r = 1.
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movez_r = 0.
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inv_movexy_d = 1. / movexy_d
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if not axes_d[0] and not axes_d[1]:
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# Z only move
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movez_r = axes_d[2] * inv_movexy_d
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movexy_d = movexy_r = inv_movexy_d = 0.
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elif axes_d[2]:
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# XY+Z move
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movexy_d = math.sqrt(axes_d[0]**2 + axes_d[1]**2)
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movexy_r = movexy_d * inv_movexy_d
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movez_r = axes_d[2] * inv_movexy_d
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inv_movexy_d = 1. / movexy_d
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if self.need_motor_enable:
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self._check_motor_enable(move_time)
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origx, origy, origz = move.start_pos[:3]
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accel = move.accel
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@ -189,15 +190,16 @@ class DeltaKinematics:
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cruise_end_d = accel_d + move.cruise_r * move_d
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for i in StepList:
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# Find point on line of movement closest to tower
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# Calculate a virtual tower along the line of movement at
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# the point closest to this stepper's tower.
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towerx_d = self.towers[i][0] - origx
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towery_d = self.towers[i][1] - origy
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closestxy_d = (towerx_d*axes_d[0] + towery_d*axes_d[1])*inv_movexy_d
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tangentxy_d2 = towerx_d**2 + towery_d**2 - closestxy_d**2
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closest_height2 = self.arm_length2 - tangentxy_d2
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vt_startxy_d = (towerx_d*axes_d[0] + towery_d*axes_d[1])*inv_movexy_d
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tangentxy_d2 = towerx_d**2 + towery_d**2 - vt_startxy_d**2
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vt_arm_d = math.sqrt(self.arm_length2 - tangentxy_d2)
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# Calculate accel/cruise/decel portions of move
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reversexy_d = closestxy_d + math.sqrt(closest_height2)*movez_r
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reversexy_d = vt_startxy_d + vt_arm_d*movez_r
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accel_up_d = cruise_up_d = decel_up_d = 0.
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accel_down_d = cruise_down_d = decel_down_d = 0.
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if reversexy_d <= 0.:
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@ -229,30 +231,36 @@ class DeltaKinematics:
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mcu_time = mcu_stepper.print_to_mcu_time(move_time)
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if accel_up_d > 0.:
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mcu_stepper.step_delta(
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mcu_time, 0., accel_up_d, move.start_v, accel,
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origz, closestxy_d, closest_height2, movez_r)
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mcu_time, accel_up_d, move.start_v, accel,
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origz, vt_startxy_d, vt_arm_d, movez_r)
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if cruise_up_d > 0.:
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mcu_stepper.step_delta(
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mcu_time + accel_t, accel_d, cruise_up_d, cruise_v, 0.,
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origz, closestxy_d, closest_height2, movez_r)
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mcu_time + accel_t, cruise_up_d - accel_d, cruise_v, 0.,
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origz + accel_d*movez_r, vt_startxy_d - accel_d*movexy_r,
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vt_arm_d, movez_r)
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if decel_up_d > 0.:
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mcu_stepper.step_delta(
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mcu_time + cruise_end_t, cruise_end_d, decel_up_d,
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mcu_time + cruise_end_t, decel_up_d - cruise_end_d,
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cruise_v, -accel,
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origz, closestxy_d, closest_height2, movez_r)
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origz + cruise_end_d*movez_r,
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vt_startxy_d - cruise_end_d*movexy_r,
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vt_arm_d, movez_r)
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if accel_down_d > 0.:
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mcu_stepper.step_delta(
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mcu_time, 0., -accel_down_d, move.start_v, accel,
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origz, closestxy_d, closest_height2, movez_r)
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mcu_time, -accel_down_d, move.start_v, accel,
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origz, vt_startxy_d, vt_arm_d, movez_r)
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if cruise_down_d > 0.:
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mcu_stepper.step_delta(
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mcu_time + accel_t, accel_d, -cruise_down_d, cruise_v, 0.,
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origz, closestxy_d, closest_height2, movez_r)
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mcu_time + accel_t, accel_d - cruise_down_d, cruise_v, 0.,
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origz + accel_d*movez_r, vt_startxy_d - accel_d*movexy_r,
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vt_arm_d, movez_r)
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if decel_down_d > 0.:
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mcu_stepper.step_delta(
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mcu_time + cruise_end_t, cruise_end_d, -decel_down_d,
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mcu_time + cruise_end_t, cruise_end_d - decel_down_d,
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cruise_v, -accel,
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origz, closestxy_d, closest_height2, movez_r)
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origz + cruise_end_d*movez_r,
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vt_startxy_d - cruise_end_d*movexy_r,
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vt_arm_d, movez_r)
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######################################################################
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@ -128,16 +128,14 @@ class MCU_stepper:
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if count == STEPCOMPRESS_ERROR_RET:
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raise error("Internal error in stepcompress")
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self._commanded_pos += count
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def step_delta(self, mcu_time, start_pos, dist, start_v, accel
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, height_base, closestxy_d, closest_height2, movez_r):
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def step_delta(self, mcu_time, dist, start_v, accel
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, height_base, startxy_d, arm_d, movez_r):
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inv_step_dist = self._inv_step_dist
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height = self._commanded_pos - height_base * inv_step_dist
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count = self._ffi_lib.stepcompress_push_delta(
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self._stepqueue, mcu_time * self._mcu_freq,
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-start_pos * inv_step_dist, dist * inv_step_dist,
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self._stepqueue, mcu_time * self._mcu_freq, dist * inv_step_dist,
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start_v * self._velocity_factor, accel * self._accel_factor,
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height, closestxy_d * inv_step_dist,
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closest_height2 * inv_step_dist**2, movez_r)
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height, startxy_d * inv_step_dist, arm_d * inv_step_dist, movez_r)
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if count == STEPCOMPRESS_ERROR_RET:
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raise error("Internal error in stepcompress")
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self._commanded_pos += count
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@ -533,25 +533,26 @@ stepcompress_push_const(
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// Schedule steps using delta kinematics
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int32_t
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stepcompress_push_delta(
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struct stepcompress *sc, double clock_offset, double start_pos
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, double steps, double start_sv, double accel
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, double height, double closestxy_sd, double closest_height2, double movez_r)
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struct stepcompress *sc, double clock_offset, double move_sd
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, double start_sv, double accel
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, double height, double startxy_sd, double arm_sd, double movez_r)
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{
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// Calculate number of steps to take
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double step_dist = 1.;
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if (steps < 0) {
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if (move_sd < 0) {
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step_dist = -1.;
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steps = -steps;
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move_sd = -move_sd;
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}
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double movexy_r = movez_r ? sqrt(1. - movez_r*movez_r) : 1.;
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double reldist = closestxy_sd - movexy_r*steps;
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double end_height = safe_sqrt(closest_height2 - reldist*reldist);
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int count = (end_height - height + movez_r*steps) * step_dist + .5;
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double arm_sd2 = arm_sd * arm_sd;
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double endxy_sd = startxy_sd - movexy_r*move_sd;
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double end_height = safe_sqrt(arm_sd2 - endxy_sd*endxy_sd);
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int count = (end_height + movez_r*move_sd - height) * step_dist + .5;
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if (count <= 0 || count > 10000000) {
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if (count) {
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errorf("push_delta invalid count %d %d %f %f %f %f %f %f %f %f %f"
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, sc->oid, count, clock_offset, start_pos, steps, start_sv
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, accel, height, closestxy_sd, closest_height2, movez_r);
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errorf("push_delta invalid count %d %d %f %f %f %f %f %f %f %f"
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, sc->oid, count, clock_offset, move_sd, start_sv, accel
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, height, startxy_sd, arm_sd, movez_r);
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return ERROR_RET;
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}
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return 0;
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@ -563,7 +564,7 @@ stepcompress_push_delta(
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// Calculate each step time
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clock_offset += 0.5;
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start_pos += movexy_r*closestxy_sd;
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double start_pos = movexy_r*startxy_sd;
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height += .5 * step_dist;
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uint64_t *qn = sc->queue_next, *qend = sc->queue_end;
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if (!accel) {
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@ -575,7 +576,7 @@ stepcompress_push_delta(
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int ret = check_expand(sc, &qn, &qend);
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if (ret)
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return ret;
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double v = safe_sqrt(closest_height2 - height*height);
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double v = safe_sqrt(arm_sd2 - height*height);
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double pos = start_pos + (step_dist > 0. ? -v : v);
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*qn++ = clock_offset + pos * inv_cruise_sv;
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height += step_dist;
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@ -597,8 +598,8 @@ stepcompress_push_delta(
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int ret = check_expand(sc, &qn, &qend);
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if (ret)
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return ret;
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double relheight = movexy_r*height - movez_r*closestxy_sd;
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double v = safe_sqrt(closest_height2 - relheight*relheight);
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double relheight = movexy_r*height - movez_r*startxy_sd;
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double v = safe_sqrt(arm_sd2 - relheight*relheight);
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double pos = start_pos + movez_r*height + (step_dist > 0. ? -v : v);
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*qn++ = clock_offset + pos * inv_cruise_sv;
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height += step_dist;
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@ -614,8 +615,8 @@ stepcompress_push_delta(
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int ret = check_expand(sc, &qn, &qend);
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if (ret)
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return ret;
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double relheight = movexy_r*height - movez_r*closestxy_sd;
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double v = safe_sqrt(closest_height2 - relheight*relheight);
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double relheight = movexy_r*height - movez_r*startxy_sd;
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double v = safe_sqrt(arm_sd2 - relheight*relheight);
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double pos = start_pos + movez_r*height + (step_dist > 0. ? -v : v);
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v = safe_sqrt(pos * accel_multiplier);
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*qn++ = clock_offset + (accel_multiplier >= 0. ? v : -v);
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