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mesh_bed_calibration.cpp
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mesh_bed_calibration.cpp
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#include "Marlin.h"
#include "Configuration.h"
#include "ConfigurationStore.h"
#include "language_all.h"
#include "mesh_bed_calibration.h"
#include "mesh_bed_leveling.h"
#include "stepper.h"
#include "ultralcd.h"
uint8_t world2machine_correction_mode;
float world2machine_rotation_and_skew[2][2];
float world2machine_rotation_and_skew_inv[2][2];
float world2machine_shift[2];
// Weight of the Y coordinate for the least squares fitting of the bed induction sensor targets.
// Only used for the first row of the points, which may not befully in reach of the sensor.
#define WEIGHT_FIRST_ROW_X_HIGH (1.f)
#define WEIGHT_FIRST_ROW_X_LOW (0.35f)
#define WEIGHT_FIRST_ROW_Y_HIGH (0.3f)
#define WEIGHT_FIRST_ROW_Y_LOW (0.0f)
#define BED_ZERO_REF_X (- 22.f + X_PROBE_OFFSET_FROM_EXTRUDER)
#define BED_ZERO_REF_Y (- 0.6f + Y_PROBE_OFFSET_FROM_EXTRUDER)
// Scaling of the real machine axes against the programmed dimensions in the firmware.
// The correction is tiny, here around 0.5mm on 250mm length.
//#define MACHINE_AXIS_SCALE_X ((250.f - 0.5f) / 250.f)
//#define MACHINE_AXIS_SCALE_Y ((250.f - 0.5f) / 250.f)
#define MACHINE_AXIS_SCALE_X 1.f
#define MACHINE_AXIS_SCALE_Y 1.f
#define BED_CALIBRATION_POINT_OFFSET_MAX_EUCLIDIAN (0.8f)
#define BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_X (0.8f)
#define BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_Y (1.5f)
#define MIN_BED_SENSOR_POINT_RESPONSE_DMR (2.0f)
//#define Y_MIN_POS_FOR_BED_CALIBRATION (MANUAL_Y_HOME_POS-0.2f)
#define Y_MIN_POS_FOR_BED_CALIBRATION (Y_MIN_POS)
// Distances toward the print bed edge may not be accurate.
#define Y_MIN_POS_CALIBRATION_POINT_ACCURATE (Y_MIN_POS + 3.f)
// When the measured point center is out of reach of the sensor, Y coordinate will be ignored
// by the Least Squares fitting and the X coordinate will be weighted low.
#define Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH (Y_MIN_POS - 0.5f)
// 0.12 degrees equals to an offset of 0.5mm on 250mm length.
const float bed_skew_angle_mild = (0.12f * M_PI / 180.f);
// 0.25 degrees equals to an offset of 1.1mm on 250mm length.
const float bed_skew_angle_extreme = (0.25f * M_PI / 180.f);
// Positions of the bed reference points in the machine coordinates, referenced to the P.I.N.D.A sensor.
// The points are ordered in a zig-zag fashion to speed up the calibration.
const float bed_ref_points[] PROGMEM = {
13.f - BED_ZERO_REF_X, 6.4f - BED_ZERO_REF_Y,
115.f - BED_ZERO_REF_X, 6.4f - BED_ZERO_REF_Y,
216.f - BED_ZERO_REF_X, 6.4f - BED_ZERO_REF_Y,
216.f - BED_ZERO_REF_X, 104.4f - BED_ZERO_REF_Y,
115.f - BED_ZERO_REF_X, 104.4f - BED_ZERO_REF_Y,
13.f - BED_ZERO_REF_X, 104.4f - BED_ZERO_REF_Y,
13.f - BED_ZERO_REF_X, 202.4f - BED_ZERO_REF_Y,
115.f - BED_ZERO_REF_X, 202.4f - BED_ZERO_REF_Y,
216.f - BED_ZERO_REF_X, 202.4f - BED_ZERO_REF_Y
};
// Positions of the bed reference points in the machine coordinates, referenced to the P.I.N.D.A sensor.
// The points are the following: center front, center right, center rear, center left.
const float bed_ref_points_4[] PROGMEM = {
115.f - BED_ZERO_REF_X, 6.4f - BED_ZERO_REF_Y,
216.f - BED_ZERO_REF_X, 104.4f - BED_ZERO_REF_Y,
115.f - BED_ZERO_REF_X, 202.4f - BED_ZERO_REF_Y,
13.f - BED_ZERO_REF_X, 104.4f - BED_ZERO_REF_Y
};
static inline float sqr(float x) { return x * x; }
static inline bool point_on_1st_row(const uint8_t i, const uint8_t npts)
{
if (npts == 4) return (i == 0);
else return (i < 3);
}
// Weight of a point coordinate in a least squares optimization.
// The first row of points may not be fully reachable
// and the y values may be shortened a bit by the bed carriage
// pulling the belt up.
static inline float point_weight_x(const uint8_t i, const uint8_t npts, const float &y)
{
float w = 1.f;
if (point_on_1st_row(i, npts)) {
if (y >= Y_MIN_POS_CALIBRATION_POINT_ACCURATE) {
w = WEIGHT_FIRST_ROW_X_HIGH;
} else if (y < Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH) {
// If the point is fully outside, give it some weight.
w = WEIGHT_FIRST_ROW_X_LOW;
} else {
// Linearly interpolate the weight from 1 to WEIGHT_FIRST_ROW_X.
float t = (y - Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH) / (Y_MIN_POS_CALIBRATION_POINT_ACCURATE - Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH);
w = (1.f - t) * WEIGHT_FIRST_ROW_X_LOW + t * WEIGHT_FIRST_ROW_X_HIGH;
}
}
return w;
}
// Weight of a point coordinate in a least squares optimization.
// The first row of points may not be fully reachable
// and the y values may be shortened a bit by the bed carriage
// pulling the belt up.
static inline float point_weight_y(const uint8_t i, const uint8_t npts, const float &y)
{
float w = 1.f;
if (point_on_1st_row(i, npts)) {
if (y >= Y_MIN_POS_CALIBRATION_POINT_ACCURATE) {
w = WEIGHT_FIRST_ROW_Y_HIGH;
} else if (y < Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH) {
// If the point is fully outside, give it some weight.
w = WEIGHT_FIRST_ROW_Y_LOW;
} else {
// Linearly interpolate the weight from 1 to WEIGHT_FIRST_ROW_X.
float t = (y - Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH) / (Y_MIN_POS_CALIBRATION_POINT_ACCURATE - Y_MIN_POS_CALIBRATION_POINT_OUT_OF_REACH);
w = (1.f - t) * WEIGHT_FIRST_ROW_Y_LOW + t * WEIGHT_FIRST_ROW_Y_HIGH;
}
}
return w;
}
// Non-Linear Least Squares fitting of the bed to the measured induction points
// using the Gauss-Newton method.
// This method will maintain a unity length of the machine axes,
// which is the correct approach if the sensor points are not measured precisely.
BedSkewOffsetDetectionResultType calculate_machine_skew_and_offset_LS(
// Matrix of maximum 9 2D points (18 floats)
const float *measured_pts,
uint8_t npts,
const float *true_pts,
// Resulting correction matrix.
float *vec_x,
float *vec_y,
float *cntr,
// Temporary values, 49-18-(2*3)=25 floats
// , float *temp
int8_t verbosity_level
)
{
float angleDiff;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 10) {
SERIAL_ECHOLNPGM("calculate machine skew and offset LS");
// Show the initial state, before the fitting.
SERIAL_ECHOPGM("X vector, initial: ");
MYSERIAL.print(vec_x[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_x[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("Y vector, initial: ");
MYSERIAL.print(vec_y[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_y[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("center, initial: ");
MYSERIAL.print(cntr[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(cntr[1], 5);
SERIAL_ECHOLNPGM("");
for (uint8_t i = 0; i < npts; ++i) {
SERIAL_ECHOPGM("point #");
MYSERIAL.print(int(i));
SERIAL_ECHOPGM(" measured: (");
MYSERIAL.print(measured_pts[i * 2], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(measured_pts[i * 2 + 1], 5);
SERIAL_ECHOPGM("); target: (");
MYSERIAL.print(pgm_read_float(true_pts + i * 2), 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(pgm_read_float(true_pts + i * 2 + 1), 5);
SERIAL_ECHOPGM("), error: ");
MYSERIAL.print(sqrt(
sqr(pgm_read_float(true_pts + i * 2) - measured_pts[i * 2]) +
sqr(pgm_read_float(true_pts + i * 2 + 1) - measured_pts[i * 2 + 1])), 5);
SERIAL_ECHOLNPGM("");
}
delay_keep_alive(100);
}
#endif // SUPPORT_VERBOSITY
// Run some iterations of the Gauss-Newton method of non-linear least squares.
// Initial set of parameters:
// X,Y offset
cntr[0] = 0.f;
cntr[1] = 0.f;
// Rotation of the machine X axis from the bed X axis.
float a1 = 0;
// Rotation of the machine Y axis from the bed Y axis.
float a2 = 0;
for (int8_t iter = 0; iter < 100; ++iter) {
float c1 = cos(a1) * MACHINE_AXIS_SCALE_X;
float s1 = sin(a1) * MACHINE_AXIS_SCALE_X;
float c2 = cos(a2) * MACHINE_AXIS_SCALE_Y;
float s2 = sin(a2) * MACHINE_AXIS_SCALE_Y;
// Prepare the Normal equation for the Gauss-Newton method.
float A[4][4] = { 0.f };
float b[4] = { 0.f };
float acc;
for (uint8_t r = 0; r < 4; ++r) {
for (uint8_t c = 0; c < 4; ++c) {
acc = 0;
// J^T times J
for (uint8_t i = 0; i < npts; ++i) {
// First for the residuum in the x axis:
if (r != 1 && c != 1) {
float a =
(r == 0) ? 1.f :
((r == 2) ? (-s1 * measured_pts[2 * i]) :
(-c2 * measured_pts[2 * i + 1]));
float b =
(c == 0) ? 1.f :
((c == 2) ? (-s1 * measured_pts[2 * i]) :
(-c2 * measured_pts[2 * i + 1]));
float w = point_weight_x(i, npts, measured_pts[2 * i + 1]);
acc += a * b * w;
}
// Second for the residuum in the y axis.
// The first row of the points have a low weight, because their position may not be known
// with a sufficient accuracy.
if (r != 0 && c != 0) {
float a =
(r == 1) ? 1.f :
((r == 2) ? ( c1 * measured_pts[2 * i]) :
(-s2 * measured_pts[2 * i + 1]));
float b =
(c == 1) ? 1.f :
((c == 2) ? ( c1 * measured_pts[2 * i]) :
(-s2 * measured_pts[2 * i + 1]));
float w = point_weight_y(i, npts, measured_pts[2 * i + 1]);
acc += a * b * w;
}
}
A[r][c] = acc;
}
// J^T times f(x)
acc = 0.f;
for (uint8_t i = 0; i < npts; ++i) {
{
float j =
(r == 0) ? 1.f :
((r == 1) ? 0.f :
((r == 2) ? (-s1 * measured_pts[2 * i]) :
(-c2 * measured_pts[2 * i + 1])));
float fx = c1 * measured_pts[2 * i] - s2 * measured_pts[2 * i + 1] + cntr[0] - pgm_read_float(true_pts + i * 2);
float w = point_weight_x(i, npts, measured_pts[2 * i + 1]);
acc += j * fx * w;
}
{
float j =
(r == 0) ? 0.f :
((r == 1) ? 1.f :
((r == 2) ? ( c1 * measured_pts[2 * i]) :
(-s2 * measured_pts[2 * i + 1])));
float fy = s1 * measured_pts[2 * i] + c2 * measured_pts[2 * i + 1] + cntr[1] - pgm_read_float(true_pts + i * 2 + 1);
float w = point_weight_y(i, npts, measured_pts[2 * i + 1]);
acc += j * fy * w;
}
}
b[r] = -acc;
}
// Solve for h by a Gauss iteration method.
float h[4] = { 0.f };
for (uint8_t gauss_iter = 0; gauss_iter < 100; ++gauss_iter) {
h[0] = (b[0] - A[0][1] * h[1] - A[0][2] * h[2] - A[0][3] * h[3]) / A[0][0];
h[1] = (b[1] - A[1][0] * h[0] - A[1][2] * h[2] - A[1][3] * h[3]) / A[1][1];
h[2] = (b[2] - A[2][0] * h[0] - A[2][1] * h[1] - A[2][3] * h[3]) / A[2][2];
h[3] = (b[3] - A[3][0] * h[0] - A[3][1] * h[1] - A[3][2] * h[2]) / A[3][3];
}
// and update the current position with h.
// It may be better to use the Levenberg-Marquart method here,
// but because we are very close to the solution alread,
// the simple Gauss-Newton non-linear Least Squares method works well enough.
cntr[0] += h[0];
cntr[1] += h[1];
a1 += h[2];
a2 += h[3];
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
SERIAL_ECHOPGM("iteration: ");
MYSERIAL.print(int(iter));
SERIAL_ECHOPGM("; correction vector: ");
MYSERIAL.print(h[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(h[1], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(h[2], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(h[3], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("corrected x/y: ");
MYSERIAL.print(cntr[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(cntr[0], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("corrected angles: ");
MYSERIAL.print(180.f * a1 / M_PI, 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(180.f * a2 / M_PI, 5);
SERIAL_ECHOLNPGM("");
}
#endif // SUPPORT_VERBOSITY
}
vec_x[0] = cos(a1) * MACHINE_AXIS_SCALE_X;
vec_x[1] = sin(a1) * MACHINE_AXIS_SCALE_X;
vec_y[0] = -sin(a2) * MACHINE_AXIS_SCALE_Y;
vec_y[1] = cos(a2) * MACHINE_AXIS_SCALE_Y;
BedSkewOffsetDetectionResultType result = BED_SKEW_OFFSET_DETECTION_PERFECT;
{
angleDiff = fabs(a2 - a1);
eeprom_update_float((float*)(EEPROM_XYZ_CAL_SKEW), angleDiff);
if (angleDiff > bed_skew_angle_mild)
result = (angleDiff > bed_skew_angle_extreme) ?
BED_SKEW_OFFSET_DETECTION_SKEW_EXTREME :
BED_SKEW_OFFSET_DETECTION_SKEW_MILD;
if (fabs(a1) > bed_skew_angle_extreme ||
fabs(a2) > bed_skew_angle_extreme)
result = BED_SKEW_OFFSET_DETECTION_SKEW_EXTREME;
}
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 1) {
SERIAL_ECHOPGM("correction angles: ");
MYSERIAL.print(180.f * a1 / M_PI, 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(180.f * a2 / M_PI, 5);
SERIAL_ECHOLNPGM("");
}
if (verbosity_level >= 10) {
// Show the adjusted state, before the fitting.
SERIAL_ECHOPGM("X vector new, inverted: ");
MYSERIAL.print(vec_x[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_x[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("Y vector new, inverted: ");
MYSERIAL.print(vec_y[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_y[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("center new, inverted: ");
MYSERIAL.print(cntr[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(cntr[1], 5);
SERIAL_ECHOLNPGM("");
delay_keep_alive(100);
SERIAL_ECHOLNPGM("Error after correction: ");
}
#endif // SUPPORT_VERBOSITY
// Measure the error after correction.
for (uint8_t i = 0; i < npts; ++i) {
float x = vec_x[0] * measured_pts[i * 2] + vec_y[0] * measured_pts[i * 2 + 1] + cntr[0];
float y = vec_x[1] * measured_pts[i * 2] + vec_y[1] * measured_pts[i * 2 + 1] + cntr[1];
float errX = sqr(pgm_read_float(true_pts + i * 2) - x);
float errY = sqr(pgm_read_float(true_pts + i * 2 + 1) - y);
float err = sqrt(errX + errY);
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 10) {
SERIAL_ECHOPGM("point #");
MYSERIAL.print(int(i));
SERIAL_ECHOLNPGM(":");
}
#endif // SUPPORT_VERBOSITY
if (point_on_1st_row(i, npts)) {
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOPGM("Point on first row");
#endif // SUPPORT_VERBOSITY
float w = point_weight_y(i, npts, measured_pts[2 * i + 1]);
if (sqrt(errX) > BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_X ||
(w != 0.f && sqrt(errY) > BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_Y)) {
result = BED_SKEW_OFFSET_DETECTION_FITTING_FAILED;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
SERIAL_ECHOPGM(", weigth Y: ");
MYSERIAL.print(w);
if (sqrt(errX) > BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_X) SERIAL_ECHOPGM(", error X > max. error X");
if (w != 0.f && sqrt(errY) > BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_Y) SERIAL_ECHOPGM(", error Y > max. error Y");
}
#endif // SUPPORT_VERBOSITY
}
}
else {
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >=20 ) SERIAL_ECHOPGM("Point not on first row");
#endif // SUPPORT_VERBOSITY
if (err > BED_CALIBRATION_POINT_OFFSET_MAX_EUCLIDIAN) {
result = BED_SKEW_OFFSET_DETECTION_FITTING_FAILED;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOPGM(", error > max. error euclidian");
#endif // SUPPORT_VERBOSITY
}
}
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 10) {
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("measured: (");
MYSERIAL.print(measured_pts[i * 2], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(measured_pts[i * 2 + 1], 5);
SERIAL_ECHOPGM("); corrected: (");
MYSERIAL.print(x, 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(y, 5);
SERIAL_ECHOPGM("); target: (");
MYSERIAL.print(pgm_read_float(true_pts + i * 2), 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(pgm_read_float(true_pts + i * 2 + 1), 5);
SERIAL_ECHOLNPGM(")");
SERIAL_ECHOPGM("error: ");
MYSERIAL.print(err);
SERIAL_ECHOPGM(", error X: ");
MYSERIAL.print(sqrt(errX));
SERIAL_ECHOPGM(", error Y: ");
MYSERIAL.print(sqrt(errY));
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("");
}
#endif // SUPPORT_VERBOSITY
}
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
SERIAL_ECHOLNPGM("Max. errors:");
SERIAL_ECHOPGM("Max. error X:");
MYSERIAL.println(BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_X);
SERIAL_ECHOPGM("Max. error Y:");
MYSERIAL.println(BED_CALIBRATION_POINT_OFFSET_MAX_1ST_ROW_Y);
SERIAL_ECHOPGM("Max. error euclidian:");
MYSERIAL.println(BED_CALIBRATION_POINT_OFFSET_MAX_EUCLIDIAN);
SERIAL_ECHOLNPGM("");
}
#endif // SUPPORT_VERBOSITY
#if 0
if (result == BED_SKEW_OFFSET_DETECTION_PERFECT && fabs(a1) < bed_skew_angle_mild && fabs(a2) < bed_skew_angle_mild) {
if (verbosity_level > 0)
SERIAL_ECHOLNPGM("Very little skew detected. Disabling skew correction.");
// Just disable the skew correction.
vec_x[0] = MACHINE_AXIS_SCALE_X;
vec_x[1] = 0.f;
vec_y[0] = 0.f;
vec_y[1] = MACHINE_AXIS_SCALE_Y;
}
#else
if (result == BED_SKEW_OFFSET_DETECTION_PERFECT) {
#ifdef SUPPORT_VERBOSITY
if (verbosity_level > 0)
SERIAL_ECHOLNPGM("Very little skew detected. Orthogonalizing the axes.");
#endif // SUPPORT_VERBOSITY
// Orthogonalize the axes.
a1 = 0.5f * (a1 + a2);
vec_x[0] = cos(a1) * MACHINE_AXIS_SCALE_X;
vec_x[1] = sin(a1) * MACHINE_AXIS_SCALE_X;
vec_y[0] = -sin(a1) * MACHINE_AXIS_SCALE_Y;
vec_y[1] = cos(a1) * MACHINE_AXIS_SCALE_Y;
// Refresh the offset.
cntr[0] = 0.f;
cntr[1] = 0.f;
float wx = 0.f;
float wy = 0.f;
for (int8_t i = 0; i < npts; ++ i) {
float x = vec_x[0] * measured_pts[i * 2] + vec_y[0] * measured_pts[i * 2 + 1];
float y = vec_x[1] * measured_pts[i * 2] + vec_y[1] * measured_pts[i * 2 + 1];
float w = point_weight_x(i, npts, y);
cntr[0] += w * (pgm_read_float(true_pts + i * 2) - x);
wx += w;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
MYSERIAL.print(i);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("Weight_x:");
MYSERIAL.print(w);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("cntr[0]:");
MYSERIAL.print(cntr[0]);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("wx:");
MYSERIAL.print(wx);
}
#endif // SUPPORT_VERBOSITY
w = point_weight_y(i, npts, y);
cntr[1] += w * (pgm_read_float(true_pts + i * 2 + 1) - y);
wy += w;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("Weight_y:");
MYSERIAL.print(w);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("cntr[1]:");
MYSERIAL.print(cntr[1]);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("wy:");
MYSERIAL.print(wy);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("");
}
#endif // SUPPORT_VERBOSITY
}
cntr[0] /= wx;
cntr[1] /= wy;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) {
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("Final cntr values:");
SERIAL_ECHOLNPGM("cntr[0]:");
MYSERIAL.print(cntr[0]);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("cntr[1]:");
MYSERIAL.print(cntr[1]);
SERIAL_ECHOLNPGM("");
}
#endif // SUPPORT_VERBOSITY
}
#endif
// Invert the transformation matrix made of vec_x, vec_y and cntr.
{
float d = vec_x[0] * vec_y[1] - vec_x[1] * vec_y[0];
float Ainv[2][2] = {
{ vec_y[1] / d, -vec_y[0] / d },
{ -vec_x[1] / d, vec_x[0] / d }
};
float cntrInv[2] = {
-Ainv[0][0] * cntr[0] - Ainv[0][1] * cntr[1],
-Ainv[1][0] * cntr[0] - Ainv[1][1] * cntr[1]
};
vec_x[0] = Ainv[0][0];
vec_x[1] = Ainv[1][0];
vec_y[0] = Ainv[0][1];
vec_y[1] = Ainv[1][1];
cntr[0] = cntrInv[0];
cntr[1] = cntrInv[1];
}
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 1) {
// Show the adjusted state, before the fitting.
SERIAL_ECHOPGM("X vector, adjusted: ");
MYSERIAL.print(vec_x[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_x[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("Y vector, adjusted: ");
MYSERIAL.print(vec_y[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(vec_y[1], 5);
SERIAL_ECHOLNPGM("");
SERIAL_ECHOPGM("center, adjusted: ");
MYSERIAL.print(cntr[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(cntr[1], 5);
SERIAL_ECHOLNPGM("");
delay_keep_alive(100);
}
if (verbosity_level >= 2) {
SERIAL_ECHOLNPGM("Difference after correction: ");
for (uint8_t i = 0; i < npts; ++i) {
float x = vec_x[0] * pgm_read_float(true_pts + i * 2) + vec_y[0] * pgm_read_float(true_pts + i * 2 + 1) + cntr[0];
float y = vec_x[1] * pgm_read_float(true_pts + i * 2) + vec_y[1] * pgm_read_float(true_pts + i * 2 + 1) + cntr[1];
SERIAL_ECHOPGM("point #");
MYSERIAL.print(int(i));
SERIAL_ECHOPGM("measured: (");
MYSERIAL.print(measured_pts[i * 2], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(measured_pts[i * 2 + 1], 5);
SERIAL_ECHOPGM("); measured-corrected: (");
MYSERIAL.print(x, 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(y, 5);
SERIAL_ECHOPGM("); target: (");
MYSERIAL.print(pgm_read_float(true_pts + i * 2), 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(pgm_read_float(true_pts + i * 2 + 1), 5);
SERIAL_ECHOPGM("), error: ");
MYSERIAL.print(sqrt(sqr(measured_pts[i * 2] - x) + sqr(measured_pts[i * 2 + 1] - y)));
SERIAL_ECHOLNPGM("");
}
if (verbosity_level >= 20) {
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("Calculate offset and skew returning result:");
MYSERIAL.print(int(result));
SERIAL_ECHOLNPGM("");
SERIAL_ECHOLNPGM("");
}
delay_keep_alive(100);
}
#endif // SUPPORT_VERBOSITY
return result;
}
void reset_bed_offset_and_skew()
{
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_CENTER+0), 0x0FFFFFFFF);
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_CENTER+4), 0x0FFFFFFFF);
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_VEC_X +0), 0x0FFFFFFFF);
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_VEC_X +4), 0x0FFFFFFFF);
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_VEC_Y +0), 0x0FFFFFFFF);
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_VEC_Y +4), 0x0FFFFFFFF);
// Reset the 8 16bit offsets.
for (int8_t i = 0; i < 4; ++ i)
eeprom_update_dword((uint32_t*)(EEPROM_BED_CALIBRATION_Z_JITTER+i*4), 0x0FFFFFFFF);
}
bool is_bed_z_jitter_data_valid()
// offsets of the Z heiths of the calibration points from the first point are saved as 16bit signed int, scaled to tenths of microns
{
for (int8_t i = 0; i < 8; ++ i)
if (eeprom_read_word((uint16_t*)(EEPROM_BED_CALIBRATION_Z_JITTER+i*2)) == 0x0FFFF)
return false;
return true;
}
static void world2machine_update(const float vec_x[2], const float vec_y[2], const float cntr[2])
{
world2machine_rotation_and_skew[0][0] = vec_x[0];
world2machine_rotation_and_skew[1][0] = vec_x[1];
world2machine_rotation_and_skew[0][1] = vec_y[0];
world2machine_rotation_and_skew[1][1] = vec_y[1];
world2machine_shift[0] = cntr[0];
world2machine_shift[1] = cntr[1];
// No correction.
world2machine_correction_mode = WORLD2MACHINE_CORRECTION_NONE;
if (world2machine_shift[0] != 0.f || world2machine_shift[1] != 0.f)
// Shift correction.
world2machine_correction_mode |= WORLD2MACHINE_CORRECTION_SHIFT;
if (world2machine_rotation_and_skew[0][0] != 1.f || world2machine_rotation_and_skew[0][1] != 0.f ||
world2machine_rotation_and_skew[1][0] != 0.f || world2machine_rotation_and_skew[1][1] != 1.f) {
// Rotation & skew correction.
world2machine_correction_mode |= WORLD2MACHINE_CORRECTION_SKEW;
// Invert the world2machine matrix.
float d = world2machine_rotation_and_skew[0][0] * world2machine_rotation_and_skew[1][1] - world2machine_rotation_and_skew[1][0] * world2machine_rotation_and_skew[0][1];
world2machine_rotation_and_skew_inv[0][0] = world2machine_rotation_and_skew[1][1] / d;
world2machine_rotation_and_skew_inv[0][1] = -world2machine_rotation_and_skew[0][1] / d;
world2machine_rotation_and_skew_inv[1][0] = -world2machine_rotation_and_skew[1][0] / d;
world2machine_rotation_and_skew_inv[1][1] = world2machine_rotation_and_skew[0][0] / d;
} else {
world2machine_rotation_and_skew_inv[0][0] = 1.f;
world2machine_rotation_and_skew_inv[0][1] = 0.f;
world2machine_rotation_and_skew_inv[1][0] = 0.f;
world2machine_rotation_and_skew_inv[1][1] = 1.f;
}
}
void world2machine_reset()
{
const float vx[] = { 1.f, 0.f };
const float vy[] = { 0.f, 1.f };
const float cntr[] = { 0.f, 0.f };
world2machine_update(vx, vy, cntr);
}
void world2machine_revert_to_uncorrected()
{
if (world2machine_correction_mode != WORLD2MACHINE_CORRECTION_NONE) {
// Reset the machine correction matrix.
const float vx[] = { 1.f, 0.f };
const float vy[] = { 0.f, 1.f };
const float cntr[] = { 0.f, 0.f };
world2machine_update(vx, vy, cntr);
// Wait for the motors to stop and update the current position with the absolute values.
st_synchronize();
current_position[X_AXIS] = st_get_position_mm(X_AXIS);
current_position[Y_AXIS] = st_get_position_mm(Y_AXIS);
}
}
static inline bool vec_undef(const float v[2])
{
const uint32_t *vx = (const uint32_t*)v;
return vx[0] == 0x0FFFFFFFF || vx[1] == 0x0FFFFFFFF;
}
void world2machine_initialize()
{
//SERIAL_ECHOLNPGM("world2machine_initialize");
float cntr[2] = {
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_CENTER+0)),
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_CENTER+4))
};
float vec_x[2] = {
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_VEC_X +0)),
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_VEC_X +4))
};
float vec_y[2] = {
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_VEC_Y +0)),
eeprom_read_float((float*)(EEPROM_BED_CALIBRATION_VEC_Y +4))
};
bool reset = false;
if (vec_undef(cntr) || vec_undef(vec_x) || vec_undef(vec_y)) {
SERIAL_ECHOLNPGM("Undefined bed correction matrix.");
reset = true;
}
else {
// Length of the vec_x shall be close to unity.
float l = sqrt(vec_x[0] * vec_x[0] + vec_x[1] * vec_x[1]);
if (l < 0.9 || l > 1.1) {
SERIAL_ECHOLNPGM("X vector length:");
MYSERIAL.println(l);
SERIAL_ECHOLNPGM("Invalid bed correction matrix. Length of the X vector out of range.");
reset = true;
}
// Length of the vec_y shall be close to unity.
l = sqrt(vec_y[0] * vec_y[0] + vec_y[1] * vec_y[1]);
if (l < 0.9 || l > 1.1) {
SERIAL_ECHOLNPGM("Y vector length:");
MYSERIAL.println(l);
SERIAL_ECHOLNPGM("Invalid bed correction matrix. Length of the Y vector out of range.");
reset = true;
}
// Correction of the zero point shall be reasonably small.
l = sqrt(cntr[0] * cntr[0] + cntr[1] * cntr[1]);
if (l > 15.f) {
SERIAL_ECHOLNPGM("Zero point correction:");
MYSERIAL.println(l);
SERIAL_ECHOLNPGM("Invalid bed correction matrix. Shift out of range.");
reset = true;
}
// vec_x and vec_y shall be nearly perpendicular.
l = vec_x[0] * vec_y[0] + vec_x[1] * vec_y[1];
if (fabs(l) > 0.1f) {
SERIAL_ECHOLNPGM("Invalid bed correction matrix. X/Y axes are far from being perpendicular.");
reset = true;
}
}
if (reset) {
SERIAL_ECHOLNPGM("Invalid bed correction matrix. Resetting to identity.");
reset_bed_offset_and_skew();
world2machine_reset();
} else {
world2machine_update(vec_x, vec_y, cntr);
/*
SERIAL_ECHOPGM("world2machine_initialize() loaded: ");
MYSERIAL.print(world2machine_rotation_and_skew[0][0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(world2machine_rotation_and_skew[0][1], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(world2machine_rotation_and_skew[1][0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(world2machine_rotation_and_skew[1][1], 5);
SERIAL_ECHOPGM(", offset ");
MYSERIAL.print(world2machine_shift[0], 5);
SERIAL_ECHOPGM(", ");
MYSERIAL.print(world2machine_shift[1], 5);
SERIAL_ECHOLNPGM("");
*/
}
}
// When switching from absolute to corrected coordinates,
// this will get the absolute coordinates from the servos,
// applies the inverse world2machine transformation
// and stores the result into current_position[x,y].
void world2machine_update_current()
{
float x = current_position[X_AXIS] - world2machine_shift[0];
float y = current_position[Y_AXIS] - world2machine_shift[1];
current_position[X_AXIS] = world2machine_rotation_and_skew_inv[0][0] * x + world2machine_rotation_and_skew_inv[0][1] * y;
current_position[Y_AXIS] = world2machine_rotation_and_skew_inv[1][0] * x + world2machine_rotation_and_skew_inv[1][1] * y;
}
static inline void go_xyz(float x, float y, float z, float fr)
{
plan_buffer_line(x, y, z, current_position[E_AXIS], fr, active_extruder);
st_synchronize();
}
static inline void go_xy(float x, float y, float fr)
{
plan_buffer_line(x, y, current_position[Z_AXIS], current_position[E_AXIS], fr, active_extruder);
st_synchronize();
}
static inline void go_to_current(float fr)
{
plan_buffer_line(current_position[X_AXIS], current_position[Y_AXIS], current_position[Z_AXIS], current_position[E_AXIS], fr, active_extruder);
st_synchronize();
}
static inline void update_current_position_xyz()
{
current_position[X_AXIS] = st_get_position_mm(X_AXIS);
current_position[Y_AXIS] = st_get_position_mm(Y_AXIS);
current_position[Z_AXIS] = st_get_position_mm(Z_AXIS);
plan_set_position(current_position[X_AXIS], current_position[Y_AXIS], current_position[Z_AXIS], current_position[E_AXIS]);
}
static inline void update_current_position_z()
{
current_position[Z_AXIS] = st_get_position_mm(Z_AXIS);
plan_set_z_position(current_position[Z_AXIS]);
}
// At the current position, find the Z stop.
inline bool find_bed_induction_sensor_point_z(float minimum_z, uint8_t n_iter, int verbosity_level)
{
#ifdef SUPPORT_VERBOSITY
if(verbosity_level >= 10) SERIAL_ECHOLNPGM("find bed induction sensor point z");
#endif // SUPPORT_VERBOSITY
bool endstops_enabled = enable_endstops(true);
bool endstop_z_enabled = enable_z_endstop(false);
float z = 0.f;
endstop_z_hit_on_purpose();
// move down until you find the bed
current_position[Z_AXIS] = minimum_z;
go_to_current(homing_feedrate[Z_AXIS]/60);
// we have to let the planner know where we are right now as it is not where we said to go.
update_current_position_z();
if (! endstop_z_hit_on_purpose())
goto error;
for (uint8_t i = 0; i < n_iter; ++ i) {
// Move up the retract distance.
current_position[Z_AXIS] += .5f;
go_to_current(homing_feedrate[Z_AXIS]/60);
// Move back down slowly to find bed.
current_position[Z_AXIS] = minimum_z;
go_to_current(homing_feedrate[Z_AXIS]/(4*60));
// we have to let the planner know where we are right now as it is not where we said to go.
update_current_position_z();
if (! endstop_z_hit_on_purpose())
goto error;
// SERIAL_ECHOPGM("Bed find_bed_induction_sensor_point_z low, height: ");
// MYSERIAL.print(current_position[Z_AXIS], 5);
// SERIAL_ECHOLNPGM("");
z += current_position[Z_AXIS];
}
current_position[Z_AXIS] = z;
if (n_iter > 1)
current_position[Z_AXIS] /= float(n_iter);
enable_endstops(endstops_enabled);
enable_z_endstop(endstop_z_enabled);
// SERIAL_ECHOLNPGM("find_bed_induction_sensor_point_z 3");
return true;
error:
// SERIAL_ECHOLNPGM("find_bed_induction_sensor_point_z 4");
enable_endstops(endstops_enabled);
enable_z_endstop(endstop_z_enabled);
return false;
}
// Search around the current_position[X,Y],
// look for the induction sensor response.
// Adjust the current_position[X,Y,Z] to the center of the target dot and its response Z coordinate.
#define FIND_BED_INDUCTION_SENSOR_POINT_X_RADIUS (8.f)
#define FIND_BED_INDUCTION_SENSOR_POINT_Y_RADIUS (6.f)
#define FIND_BED_INDUCTION_SENSOR_POINT_XY_STEP (1.f)
#define FIND_BED_INDUCTION_SENSOR_POINT_Z_STEP (0.2f)
inline bool find_bed_induction_sensor_point_xy(int verbosity_level)
{
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 10) MYSERIAL.println("find bed induction sensor point xy");
#endif // SUPPORT_VERBOSITY
float feedrate = homing_feedrate[X_AXIS] / 60.f;
bool found = false;
{
float x0 = current_position[X_AXIS] - FIND_BED_INDUCTION_SENSOR_POINT_X_RADIUS;
float x1 = current_position[X_AXIS] + FIND_BED_INDUCTION_SENSOR_POINT_X_RADIUS;
float y0 = current_position[Y_AXIS] - FIND_BED_INDUCTION_SENSOR_POINT_Y_RADIUS;
float y1 = current_position[Y_AXIS] + FIND_BED_INDUCTION_SENSOR_POINT_Y_RADIUS;
uint8_t nsteps_y;
uint8_t i;
if (x0 < X_MIN_POS) {
x0 = X_MIN_POS;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOLNPGM("X searching radius lower than X_MIN. Clamping was done.");
#endif // SUPPORT_VERBOSITY
}
if (x1 > X_MAX_POS) {
x1 = X_MAX_POS;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOLNPGM("X searching radius higher than X_MAX. Clamping was done.");
#endif // SUPPORT_VERBOSITY
}
if (y0 < Y_MIN_POS_FOR_BED_CALIBRATION) {
y0 = Y_MIN_POS_FOR_BED_CALIBRATION;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOLNPGM("Y searching radius lower than Y_MIN. Clamping was done.");
#endif // SUPPORT_VERBOSITY
}
if (y1 > Y_MAX_POS) {
y1 = Y_MAX_POS;
#ifdef SUPPORT_VERBOSITY
if (verbosity_level >= 20) SERIAL_ECHOLNPGM("Y searching radius higher than X_MAX. Clamping was done.");
#endif // SUPPORT_VERBOSITY
}
nsteps_y = int(ceil((y1 - y0) / FIND_BED_INDUCTION_SENSOR_POINT_XY_STEP));
enable_endstops(false);
bool dir_positive = true;
// go_xyz(current_position[X_AXIS], current_position[Y_AXIS], MESH_HOME_Z_SEARCH, homing_feedrate[Z_AXIS]/60);
go_xyz(x0, y0, current_position[Z_AXIS], feedrate);
// Continously lower the Z axis.
endstops_hit_on_purpose();
enable_z_endstop(true);
while (current_position[Z_AXIS] > -10.f) {
// Do nsteps_y zig-zag movements.
current_position[Y_AXIS] = y0;
for (i = 0; i < nsteps_y; current_position[Y_AXIS] += (y1 - y0) / float(nsteps_y - 1), ++ i) {
// Run with a slightly decreasing Z axis, zig-zag movement. Stop at the Z end-stop.
current_position[Z_AXIS] -= FIND_BED_INDUCTION_SENSOR_POINT_Z_STEP / float(nsteps_y);
go_xyz(dir_positive ? x1 : x0, current_position[Y_AXIS], current_position[Z_AXIS], feedrate);
dir_positive = ! dir_positive;
if (endstop_z_hit_on_purpose())
goto endloop;
}
for (i = 0; i < nsteps_y; current_position[Y_AXIS] -= (y1 - y0) / float(nsteps_y - 1), ++ i) {
// Run with a slightly decreasing Z axis, zig-zag movement. Stop at the Z end-stop.
current_position[Z_AXIS] -= FIND_BED_INDUCTION_SENSOR_POINT_Z_STEP / float(nsteps_y);
go_xyz(dir_positive ? x1 : x0, current_position[Y_AXIS], current_position[Z_AXIS], feedrate);
dir_positive = ! dir_positive;
if (endstop_z_hit_on_purpose())
goto endloop;
}
}
endloop:
// SERIAL_ECHOLN("First hit");
// we have to let the planner know where we are right now as it is not where we said to go.
update_current_position_xyz();
// Search in this plane for the first hit. Zig-zag first in X, then in Y axis.
for (int8_t iter = 0; iter < 3; ++ iter) {
if (iter > 0) {
// Slightly lower the Z axis to get a reliable trigger.
current_position[Z_AXIS] -= 0.02f;
go_xyz(current_position[X_AXIS], current_position[Y_AXIS], MESH_HOME_Z_SEARCH, homing_feedrate[Z_AXIS]/60);
}
// Do nsteps_y zig-zag movements.
float a, b;
enable_endstops(false);
enable_z_endstop(false);
current_position[Y_AXIS] = y0;
go_xy(x0, current_position[Y_AXIS], feedrate);
enable_z_endstop(true);
found = false;
for (i = 0, dir_positive = true; i < nsteps_y; current_position[Y_AXIS] += (y1 - y0) / float(nsteps_y - 1), ++ i, dir_positive = ! dir_positive) {
go_xy(dir_positive ? x1 : x0, current_position[Y_AXIS], feedrate);
if (endstop_z_hit_on_purpose()) {
found = true;
break;
}
}
update_current_position_xyz();
if (! found) {
// SERIAL_ECHOLN("Search in Y - not found");
continue;
}
// SERIAL_ECHOLN("Search in Y - found");
a = current_position[Y_AXIS];
enable_z_endstop(false);
current_position[Y_AXIS] = y1;
go_xy(x0, current_position[Y_AXIS], feedrate);
enable_z_endstop(true);
found = false;
for (i = 0, dir_positive = true; i < nsteps_y; current_position[Y_AXIS] -= (y1 - y0) / float(nsteps_y - 1), ++ i, dir_positive = ! dir_positive) {
go_xy(dir_positive ? x1 : x0, current_position[Y_AXIS], feedrate);
if (endstop_z_hit_on_purpose()) {
found = true;
break;
}
}
update_current_position_xyz();
if (! found) {
// SERIAL_ECHOLN("Search in Y2 - not found");
continue;