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/**
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* Marlin 3 D Printer Firmware
* Copyright ( C ) 2016 MarlinFirmware [ https : //github.com/MarlinFirmware/Marlin]
*
* Based on Sprinter and grbl .
* Copyright ( C ) 2011 Camiel Gubbels / Erik van der Zalm
*
* This program is free software : you can redistribute it and / or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation , either version 3 of the License , or
* ( at your option ) any later version .
*
* This program is distributed in the hope that it will be useful ,
* but WITHOUT ANY WARRANTY ; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE . See the
* GNU General Public License for more details .
*
* You should have received a copy of the GNU General Public License
* along with this program . If not , see < http : //www.gnu.org/licenses/>.
*
*/
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/**
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* stepper . h - stepper motor driver : executes motion plans of planner . c using the stepper motors
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* Derived from Grbl
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*
* Copyright ( c ) 2009 - 2011 Simen Svale Skogsrud
*
* Grbl is free software : you can redistribute it and / or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation , either version 3 of the License , or
* ( at your option ) any later version .
*
* Grbl is distributed in the hope that it will be useful ,
* but WITHOUT ANY WARRANTY ; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE . See the
* GNU General Public License for more details .
*
* You should have received a copy of the GNU General Public License
* along with Grbl . If not , see < http : //www.gnu.org/licenses/>.
*/
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# ifndef STEPPER_H
# define STEPPER_H
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# include "../inc/MarlinConfig.h"
// Disable multiple steps per ISR
//#define DISABLE_MULTI_STEPPING
//
// Estimate the amount of time the Stepper ISR will take to execute
//
# ifndef MINIMUM_STEPPER_PULSE
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# define MINIMUM_STEPPER_PULSE 0UL
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# endif
# ifndef MAXIMUM_STEPPER_RATE
# if MINIMUM_STEPPER_PULSE
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# define MAXIMUM_STEPPER_RATE (1000000UL / (2UL * (unsigned long)(MINIMUM_STEPPER_PULSE)))
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# else
# define MAXIMUM_STEPPER_RATE 500000UL
# endif
# endif
# ifdef CPU_32_BIT
// The base ISR takes 792 cycles
# define ISR_BASE_CYCLES 792UL
// Linear advance base time is 64 cycles
# if ENABLED(LIN_ADVANCE)
# define ISR_LA_BASE_CYCLES 64UL
# else
# define ISR_LA_BASE_CYCLES 0UL
# endif
// S curve interpolation adds 40 cycles
# if ENABLED(S_CURVE_ACCELERATION)
# define ISR_S_CURVE_CYCLES 40UL
# else
# define ISR_S_CURVE_CYCLES 0UL
# endif
// Stepper Loop base cycles
# define ISR_LOOP_BASE_CYCLES 4UL
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// To start the step pulse, in the worst case takes
# define ISR_START_STEPPER_CYCLES 13UL
// And each stepper (start + stop pulse) takes in worst case
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# define ISR_STEPPER_CYCLES 16UL
# else
// The base ISR takes 752 cycles
# define ISR_BASE_CYCLES 752UL
// Linear advance base time is 32 cycles
# if ENABLED(LIN_ADVANCE)
# define ISR_LA_BASE_CYCLES 32UL
# else
# define ISR_LA_BASE_CYCLES 0UL
# endif
// S curve interpolation adds 160 cycles
# if ENABLED(S_CURVE_ACCELERATION)
# define ISR_S_CURVE_CYCLES 160UL
# else
# define ISR_S_CURVE_CYCLES 0UL
# endif
// Stepper Loop base cycles
# define ISR_LOOP_BASE_CYCLES 32UL
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// To start the step pulse, in the worst case takes
# define ISR_START_STEPPER_CYCLES 57UL
// And each stepper (start + stop pulse) takes in worst case
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# define ISR_STEPPER_CYCLES 88UL
# endif
// Add time for each stepper
# ifdef HAS_X_STEP
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# define ISR_START_X_STEPPER_CYCLES ISR_START_STEPPER_CYCLES
# define ISR_X_STEPPER_CYCLES ISR_STEPPER_CYCLES
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# else
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# define ISR_START_X_STEPPER_CYCLES 0UL
# define ISR_X_STEPPER_CYCLES 0UL
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# endif
# ifdef HAS_Y_STEP
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# define ISR_START_Y_STEPPER_CYCLES ISR_START_STEPPER_CYCLES
# define ISR_Y_STEPPER_CYCLES ISR_STEPPER_CYCLES
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# else
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# define ISR_START_Y_STEPPER_CYCLES 0UL
# define ISR_Y_STEPPER_CYCLES 0UL
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# endif
# ifdef HAS_Z_STEP
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# define ISR_START_Z_STEPPER_CYCLES ISR_START_STEPPER_CYCLES
# define ISR_Z_STEPPER_CYCLES ISR_STEPPER_CYCLES
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# else
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# define ISR_START_Z_STEPPER_CYCLES 0UL
# define ISR_Z_STEPPER_CYCLES 0UL
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# endif
// E is always interpolated, even for mixing extruders
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# define ISR_START_E_STEPPER_CYCLES ISR_START_STEPPER_CYCLES
# define ISR_E_STEPPER_CYCLES ISR_STEPPER_CYCLES
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// If linear advance is disabled, then the loop also handles them
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# if DISABLED(LIN_ADVANCE) && ENABLED(MIXING_EXTRUDER) // ToDo: ???
// HELP ME: What is what?
// Directions are set up for MIXING_STEPPERS - like before.
// Finding the right stepper may last up to MIXING_STEPPERS loops in get_next_stepper().
// These loops are a bit faster than advancing a bresenham counter.
// Always only one e-stepper is stepped.
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# define ISR_START_MIXING_STEPPER_CYCLES ((MIXING_STEPPERS) * (ISR_START_STEPPER_CYCLES))
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# define ISR_MIXING_STEPPER_CYCLES ((MIXING_STEPPERS) * (ISR_STEPPER_CYCLES))
# else
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# define ISR_START_MIXING_STEPPER_CYCLES 0UL
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# define ISR_MIXING_STEPPER_CYCLES 0UL
# endif
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// Calculate the minimum time to start all stepper pulses in the ISR loop
# define MIN_ISR_START_LOOP_CYCLES (ISR_START_X_STEPPER_CYCLES + ISR_START_Y_STEPPER_CYCLES + ISR_START_Z_STEPPER_CYCLES + ISR_START_E_STEPPER_CYCLES + ISR_START_MIXING_STEPPER_CYCLES)
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// And the total minimum loop time, not including the base
# define MIN_ISR_LOOP_CYCLES (ISR_X_STEPPER_CYCLES + ISR_Y_STEPPER_CYCLES + ISR_Z_STEPPER_CYCLES + ISR_E_STEPPER_CYCLES + ISR_MIXING_STEPPER_CYCLES)
// Calculate the minimum MPU cycles needed per pulse to enforce, limited to the max stepper rate
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# define _MIN_STEPPER_PULSE_CYCLES(N) MAX((unsigned long)((F_CPU) / (MAXIMUM_STEPPER_RATE)), ((F_CPU) / 500000UL) * (N))
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# if MINIMUM_STEPPER_PULSE
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# define MIN_STEPPER_PULSE_CYCLES _MIN_STEPPER_PULSE_CYCLES((unsigned long)(MINIMUM_STEPPER_PULSE))
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# else
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# define MIN_STEPPER_PULSE_CYCLES _MIN_STEPPER_PULSE_CYCLES(1UL)
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# endif
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// Calculate the minimum ticks of the PULSE timer that must elapse with the step pulse enabled
// adding the "start stepper pulse" code section execution cycles to account for that not all
// pulses start at the beginning of the loop, so an extra time must be added to compensate so
// the last generated pulse (usually the extruder stepper) has the right length
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# define MIN_PULSE_TICKS (((PULSE_TIMER_TICKS_PER_US) * (unsigned long)(MINIMUM_STEPPER_PULSE)) + ((MIN_ISR_START_LOOP_CYCLES) / (unsigned long)(PULSE_TIMER_PRESCALE)))
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// Calculate the extra ticks of the PULSE timer between step pulses
# define ADDED_STEP_TICKS (((MIN_STEPPER_PULSE_CYCLES) / (PULSE_TIMER_PRESCALE)) - (MIN_PULSE_TICKS))
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// But the user could be enforcing a minimum time, so the loop time is
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# define ISR_LOOP_CYCLES (ISR_LOOP_BASE_CYCLES + MAX(MIN_STEPPER_PULSE_CYCLES, MIN_ISR_LOOP_CYCLES))
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// If linear advance is enabled, then it is handled separately
# if ENABLED(LIN_ADVANCE)
// Estimate the minimum LA loop time
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# if ENABLED(MIXING_EXTRUDER) // ToDo: ???
// HELP ME: What is what?
// Directions are set up for MIXING_STEPPERS - like before.
// Finding the right stepper may last up to MIXING_STEPPERS loops in get_next_stepper().
// These loops are a bit faster than advancing a bresenham counter.
// Always only one e-stepper is stepped.
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# define MIN_ISR_LA_LOOP_CYCLES ((MIXING_STEPPERS) * (ISR_STEPPER_CYCLES))
# else
# define MIN_ISR_LA_LOOP_CYCLES ISR_STEPPER_CYCLES
# endif
// And the real loop time
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# define ISR_LA_LOOP_CYCLES MAX(MIN_STEPPER_PULSE_CYCLES, MIN_ISR_LA_LOOP_CYCLES)
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# else
# define ISR_LA_LOOP_CYCLES 0UL
# endif
// Now estimate the total ISR execution time in cycles given a step per ISR multiplier
# define ISR_EXECUTION_CYCLES(R) (((ISR_BASE_CYCLES + ISR_S_CURVE_CYCLES + (ISR_LOOP_CYCLES) * (R) + ISR_LA_BASE_CYCLES + ISR_LA_LOOP_CYCLES)) / (R))
// The maximum allowable stepping frequency when doing x128-x1 stepping (in Hz)
# define MAX_STEP_ISR_FREQUENCY_128X ((F_CPU) / ISR_EXECUTION_CYCLES(128))
# define MAX_STEP_ISR_FREQUENCY_64X ((F_CPU) / ISR_EXECUTION_CYCLES(64))
# define MAX_STEP_ISR_FREQUENCY_32X ((F_CPU) / ISR_EXECUTION_CYCLES(32))
# define MAX_STEP_ISR_FREQUENCY_16X ((F_CPU) / ISR_EXECUTION_CYCLES(16))
# define MAX_STEP_ISR_FREQUENCY_8X ((F_CPU) / ISR_EXECUTION_CYCLES(8))
# define MAX_STEP_ISR_FREQUENCY_4X ((F_CPU) / ISR_EXECUTION_CYCLES(4))
# define MAX_STEP_ISR_FREQUENCY_2X ((F_CPU) / ISR_EXECUTION_CYCLES(2))
# define MAX_STEP_ISR_FREQUENCY_1X ((F_CPU) / ISR_EXECUTION_CYCLES(1))
// The minimum allowable frequency for step smoothing will be 1/10 of the maximum nominal frequency (in Hz)
# define MIN_STEP_ISR_FREQUENCY MAX_STEP_ISR_FREQUENCY_1X
//
// Stepper class definition
//
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# include "stepper_indirection.h"
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# ifdef __AVR__
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# include "speed_lookuptable.h"
# endif
# include "../module/planner.h"
# include "../core/language.h"
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class Stepper {
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public :
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# if ENABLED(X_DUAL_ENDSTOPS) || ENABLED(Y_DUAL_ENDSTOPS) || Z_MULTI_ENDSTOPS || ENABLED(Z_STEPPER_AUTO_ALIGN)
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static bool separate_multi_axis ;
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# endif
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# if HAS_MOTOR_CURRENT_PWM
# ifndef PWM_MOTOR_CURRENT
# define PWM_MOTOR_CURRENT DEFAULT_PWM_MOTOR_CURRENT
# endif
static uint32_t motor_current_setting [ 3 ] ;
# endif
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private :
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static block_t * current_block ; // A pointer to the block currently being traced
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static uint8_t last_direction_bits , // The next stepping-bits to be output
axis_did_move ; // Last Movement in the given direction is not null, as computed when the last movement was fetched from planner
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static bool abort_current_block ; // Signals to the stepper that current block should be aborted
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// Last-moved extruder, as set when the last movement was fetched from planner
# if EXTRUDERS < 2
static constexpr uint8_t last_moved_extruder = 0 ;
# elif DISABLED(MIXING_EXTRUDER)
static uint8_t last_moved_extruder ;
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# endif
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# if ENABLED(X_DUAL_ENDSTOPS)
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static bool locked_X_motor , locked_X2_motor ;
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# endif
# if ENABLED(Y_DUAL_ENDSTOPS)
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static bool locked_Y_motor , locked_Y2_motor ;
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# endif
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# if Z_MULTI_ENDSTOPS || ENABLED(Z_STEPPER_AUTO_ALIGN)
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static bool locked_Z_motor , locked_Z2_motor ;
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# endif
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# if ENABLED(Z_TRIPLE_ENDSTOPS) || (ENABLED(Z_STEPPER_AUTO_ALIGN) && ENABLED(Z_TRIPLE_STEPPER_DRIVERS))
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static bool locked_Z3_motor ;
# endif
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static uint32_t acceleration_time , deceleration_time ; // time measured in Stepper Timer ticks
static uint8_t steps_per_isr ; // Count of steps to perform per Stepper ISR call
# if ENABLED(ADAPTIVE_STEP_SMOOTHING)
static uint8_t oversampling_factor ; // Oversampling factor (log2(multiplier)) to increase temporal resolution of axis
# else
static constexpr uint8_t oversampling_factor = 0 ;
# endif
// Delta error variables for the Bresenham line tracer
static int32_t delta_error [ XYZE ] ;
static uint32_t advance_dividend [ XYZE ] ,
advance_divisor ,
step_events_completed , // The number of step events executed in the current block
accelerate_until , // The point from where we need to stop acceleration
decelerate_after , // The point from where we need to start decelerating
step_event_count ; // The total event count for the current block
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# if EXTRUDERS > 1 || ENABLED(MIXING_EXTRUDER)
static uint8_t stepper_extruder ;
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# else
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static constexpr uint8_t stepper_extruder = 0 ;
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# endif
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# if ENABLED(S_CURVE_ACCELERATION)
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static int32_t bezier_A , // A coefficient in Bézier speed curve
bezier_B , // B coefficient in Bézier speed curve
bezier_C ; // C coefficient in Bézier speed curve
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static uint32_t bezier_F , // F coefficient in Bézier speed curve
bezier_AV ; // AV coefficient in Bézier speed curve
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# ifdef __AVR__
static bool A_negative ; // If A coefficient was negative
# endif
static bool bezier_2nd_half ; // If Bézier curve has been initialized or not
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# endif
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static uint32_t nextMainISR ; // time remaining for the next Step ISR
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# if ENABLED(LIN_ADVANCE)
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static uint32_t nextAdvanceISR , LA_isr_rate ;
static uint16_t LA_current_adv_steps , LA_final_adv_steps , LA_max_adv_steps ; // Copy from current executed block. Needed because current_block is set to NULL "too early".
static int8_t LA_steps ;
static bool LA_use_advance_lead ;
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# endif // LIN_ADVANCE
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static int32_t ticks_nominal ;
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# if DISABLED(S_CURVE_ACCELERATION)
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static uint32_t acc_step_rate ; // needed for deceleration start point
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# endif
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static volatile int32_t endstops_trigsteps [ XYZ ] ;
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//
// Positions of stepper motors, in step units
//
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static volatile int32_t count_position [ NUM_AXIS ] ;
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//
// Current direction of stepper motors (+1 or -1)
//
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static int8_t count_direction [ NUM_AXIS ] ;
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public :
//
// Constructor / initializer
//
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Stepper ( ) { } ;
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// Initialize stepper hardware
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static void init ( ) ;
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// Interrupt Service Routines
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// The ISR scheduler
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static void isr ( ) ;
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// The stepper pulse phase ISR
static void stepper_pulse_phase_isr ( ) ;
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// The stepper block processing phase ISR
static uint32_t stepper_block_phase_isr ( ) ;
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# if ENABLED(LIN_ADVANCE)
// The Linear advance stepper ISR
static uint32_t advance_isr ( ) ;
# endif
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// Check if the given block is busy or not - Must not be called from ISR contexts
static bool is_block_busy ( const block_t * const block ) ;
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// Get the position of a stepper, in steps
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static int32_t position ( const AxisEnum axis ) ;
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// Report the positions of the steppers, in steps
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static void report_positions ( ) ;
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// The stepper subsystem goes to sleep when it runs out of things to execute. Call this
// to notify the subsystem that it is time to go to work.
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static void wake_up ( ) ;
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// Quickly stop all steppers
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FORCE_INLINE static void quick_stop ( ) { abort_current_block = true ; }
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// The direction of a single motor
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FORCE_INLINE static bool motor_direction ( const AxisEnum axis ) { return TEST ( last_direction_bits , axis ) ; }
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// The last movement direction was not null on the specified axis. Note that motor direction is not necessarily the same.
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FORCE_INLINE static bool axis_is_moving ( const AxisEnum axis ) { return TEST ( axis_did_move , axis ) ; }
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// The extruder associated to the last movement
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FORCE_INLINE static uint8_t movement_extruder ( ) {
return
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# if ENABLED(MIXING_EXTRUDER) || EXTRUDERS < 2
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0
# else
last_moved_extruder
# endif
;
}
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// Handle a triggered endstop
static void endstop_triggered ( const AxisEnum axis ) ;
// Triggered position of an axis in steps
static int32_t triggered_position ( const AxisEnum axis ) ;
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# if HAS_DIGIPOTSS || HAS_MOTOR_CURRENT_PWM
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static void digitalPotWrite ( const int16_t address , const int16_t value ) ;
static void digipot_current ( const uint8_t driver , const int16_t current ) ;
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# endif
# if HAS_MICROSTEPS
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static void microstep_ms ( const uint8_t driver , const int8_t ms1 , const int8_t ms2 , const int8_t ms3 ) ;
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static void microstep_mode ( const uint8_t driver , const uint8_t stepping ) ;
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static void microstep_readings ( ) ;
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# endif
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# if ENABLED(X_DUAL_ENDSTOPS) || ENABLED(Y_DUAL_ENDSTOPS) || Z_MULTI_ENDSTOPS || ENABLED(Z_STEPPER_AUTO_ALIGN)
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FORCE_INLINE static void set_separate_multi_axis ( const bool state ) { separate_multi_axis = state ; }
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# endif
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# if ENABLED(X_DUAL_ENDSTOPS)
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FORCE_INLINE static void set_x_lock ( const bool state ) { locked_X_motor = state ; }
FORCE_INLINE static void set_x2_lock ( const bool state ) { locked_X2_motor = state ; }
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# endif
# if ENABLED(Y_DUAL_ENDSTOPS)
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FORCE_INLINE static void set_y_lock ( const bool state ) { locked_Y_motor = state ; }
FORCE_INLINE static void set_y2_lock ( const bool state ) { locked_Y2_motor = state ; }
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# endif
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# if Z_MULTI_ENDSTOPS || (ENABLED(Z_STEPPER_AUTO_ALIGN) && Z_MULTI_STEPPER_DRIVERS)
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FORCE_INLINE static void set_z_lock ( const bool state ) { locked_Z_motor = state ; }
FORCE_INLINE static void set_z2_lock ( const bool state ) { locked_Z2_motor = state ; }
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# endif
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# if ENABLED(Z_TRIPLE_ENDSTOPS) || (ENABLED(Z_STEPPER_AUTO_ALIGN) && ENABLED(Z_TRIPLE_STEPPER_DRIVERS))
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FORCE_INLINE static void set_z3_lock ( const bool state ) { locked_Z3_motor = state ; }
# endif
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# if ENABLED(BABYSTEPPING)
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static void babystep ( const AxisEnum axis , const bool direction ) ; // perform a short step with a single stepper motor, outside of any convention
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# endif
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# if HAS_MOTOR_CURRENT_PWM
static void refresh_motor_power ( ) ;
# endif
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// Set the current position in steps
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static inline void set_position ( const int32_t & a , const int32_t & b , const int32_t & c , const int32_t & e ) {
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planner . synchronize ( ) ;
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const bool was_enabled = STEPPER_ISR_ENABLED ( ) ;
if ( was_enabled ) DISABLE_STEPPER_DRIVER_INTERRUPT ( ) ;
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_set_position ( a , b , c , e ) ;
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if ( was_enabled ) ENABLE_STEPPER_DRIVER_INTERRUPT ( ) ;
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}
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static inline void set_position ( const AxisEnum a , const int32_t & v ) {
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planner . synchronize ( ) ;
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# ifdef __AVR__
// Protect the access to the position. Only required for AVR, as
// any 32bit CPU offers atomic access to 32bit variables
const bool was_enabled = STEPPER_ISR_ENABLED ( ) ;
if ( was_enabled ) DISABLE_STEPPER_DRIVER_INTERRUPT ( ) ;
# endif
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count_position [ a ] = v ;
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# ifdef __AVR__
// Reenable Stepper ISR
if ( was_enabled ) ENABLE_STEPPER_DRIVER_INTERRUPT ( ) ;
# endif
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}
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// Set direction bits for all steppers
static void set_directions ( ) ;
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private :
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// Set the current position in steps
static void _set_position ( const int32_t & a , const int32_t & b , const int32_t & c , const int32_t & e ) ;
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FORCE_INLINE static uint32_t calc_timer_interval ( uint32_t step_rate , uint8_t scale , uint8_t * loops ) {
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uint32_t timer ;
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// Scale the frequency, as requested by the caller
step_rate < < = scale ;
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uint8_t multistep = 1 ;
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# if DISABLED(DISABLE_MULTI_STEPPING)
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// The stepping frequency limits for each multistepping rate
static const uint32_t limit [ ] PROGMEM = {
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( MAX_STEP_ISR_FREQUENCY_1X ) ,
( MAX_STEP_ISR_FREQUENCY_2X > > 1 ) ,
( MAX_STEP_ISR_FREQUENCY_4X > > 2 ) ,
( MAX_STEP_ISR_FREQUENCY_8X > > 3 ) ,
( MAX_STEP_ISR_FREQUENCY_16X > > 4 ) ,
( MAX_STEP_ISR_FREQUENCY_32X > > 5 ) ,
( MAX_STEP_ISR_FREQUENCY_64X > > 6 ) ,
( MAX_STEP_ISR_FREQUENCY_128X > > 7 )
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} ;
// Select the proper multistepping
uint8_t idx = 0 ;
while ( idx < 7 & & step_rate > ( uint32_t ) pgm_read_dword ( & limit [ idx ] ) ) {
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step_rate > > = 1 ;
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multistep < < = 1 ;
+ + idx ;
} ;
# else
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NOMORE ( step_rate , uint32_t ( MAX_STEP_ISR_FREQUENCY_1X ) ) ;
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# endif
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* loops = multistep ;
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# ifdef CPU_32_BIT
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// In case of high-performance processor, it is able to calculate in real-time
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timer = uint32_t ( STEPPER_TIMER_RATE ) / step_rate ;
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# else
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constexpr uint32_t min_step_rate = F_CPU / 500000U ;
NOLESS ( step_rate , min_step_rate ) ;
step_rate - = min_step_rate ; // Correct for minimal speed
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if ( step_rate > = ( 8 * 256 ) ) { // higher step rate
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const uint8_t tmp_step_rate = ( step_rate & 0x00FF ) ;
const uint16_t table_address = ( uint16_t ) & speed_lookuptable_fast [ ( uint8_t ) ( step_rate > > 8 ) ] [ 0 ] ,
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gain = ( uint16_t ) pgm_read_word ( table_address + 2 ) ;
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timer = MultiU16X8toH16 ( tmp_step_rate , gain ) ;
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timer = ( uint16_t ) pgm_read_word ( table_address ) - timer ;
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}
else { // lower step rates
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uint16_t table_address = ( uint16_t ) & speed_lookuptable_slow [ 0 ] [ 0 ] ;
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table_address + = ( ( step_rate ) > > 1 ) & 0xFFFC ;
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timer = ( uint16_t ) pgm_read_word ( table_address )
- ( ( ( uint16_t ) pgm_read_word ( table_address + 2 ) * ( uint8_t ) ( step_rate & 0x0007 ) ) > > 3 ) ;
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}
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// (there is no need to limit the timer value here. All limits have been
// applied above, and AVR is able to keep up at 30khz Stepping ISR rate)
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# endif
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return timer ;
}
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# if ENABLED(S_CURVE_ACCELERATION)
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static void _calc_bezier_curve_coeffs ( const int32_t v0 , const int32_t v1 , const uint32_t av ) ;
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static int32_t _eval_bezier_curve ( const uint32_t curr_step ) ;
# endif
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# if HAS_DIGIPOTSS || HAS_MOTOR_CURRENT_PWM
static void digipot_init ( ) ;
# endif
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# if HAS_MICROSTEPS
static void microstep_init ( ) ;
# endif
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} ;
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extern Stepper stepper ;
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# endif // STEPPER_H