Firmware/Marlin/vector_3.cpp

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/**
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* Marlin 3D 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/>.
*
*/
/**
vector_3.cpp - Vector library for bed leveling
Copyright (c) 2012 Lars Brubaker. All right reserved.
This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.
This library 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
Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include "MarlinConfig.h"
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#if ABL_PLANAR || (HAS_BED_PROBE && ENABLED(AUTO_BED_LEVELING_UBL))
#include "vector_3.h"
#include "serial.h"
#include <math.h>
vector_3::vector_3() : x(0), y(0), z(0) { }
vector_3::vector_3(float x_, float y_, float z_) : x(x_), y(y_), z(z_) { }
vector_3 vector_3::cross(vector_3 left, vector_3 right) {
return vector_3(left.y * right.z - left.z * right.y,
left.z * right.x - left.x * right.z,
left.x * right.y - left.y * right.x);
}
vector_3 vector_3::operator+(vector_3 v) { return vector_3((x + v.x), (y + v.y), (z + v.z)); }
vector_3 vector_3::operator-(vector_3 v) { return vector_3((x - v.x), (y - v.y), (z - v.z)); }
vector_3 vector_3::get_normal() {
vector_3 normalized = vector_3(x, y, z);
normalized.normalize();
return normalized;
}
float vector_3::get_length() { return SQRT(sq(x) + sq(y) + sq(z)); }
void vector_3::normalize() {
const float inv_length = RSQRT(sq(x) + sq(y) + sq(z));
x *= inv_length;
y *= inv_length;
z *= inv_length;
}
void vector_3::apply_rotation(matrix_3x3 matrix) {
const float resultX = x * matrix.matrix[3 * 0 + 0] + y * matrix.matrix[3 * 1 + 0] + z * matrix.matrix[3 * 2 + 0],
resultY = x * matrix.matrix[3 * 0 + 1] + y * matrix.matrix[3 * 1 + 1] + z * matrix.matrix[3 * 2 + 1],
resultZ = x * matrix.matrix[3 * 0 + 2] + y * matrix.matrix[3 * 1 + 2] + z * matrix.matrix[3 * 2 + 2];
x = resultX;
y = resultY;
z = resultZ;
}
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void vector_3::debug(const char * const title) {
serialprintPGM(title);
SERIAL_PROTOCOLPGM(" x: ");
SERIAL_PROTOCOL_F(x, 6);
SERIAL_PROTOCOLPGM(" y: ");
SERIAL_PROTOCOL_F(y, 6);
SERIAL_PROTOCOLPGM(" z: ");
SERIAL_PROTOCOL_F(z, 6);
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SERIAL_EOL();
}
void apply_rotation_xyz(matrix_3x3 matrix, float &x, float &y, float &z) {
vector_3 vector = vector_3(x, y, z);
vector.apply_rotation(matrix);
x = vector.x;
y = vector.y;
z = vector.z;
}
matrix_3x3 matrix_3x3::create_from_rows(vector_3 row_0, vector_3 row_1, vector_3 row_2) {
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//row_0.debug(PSTR("row_0"));
//row_1.debug(PSTR("row_1"));
//row_2.debug(PSTR("row_2"));
matrix_3x3 new_matrix;
new_matrix.matrix[0] = row_0.x; new_matrix.matrix[1] = row_0.y; new_matrix.matrix[2] = row_0.z;
new_matrix.matrix[3] = row_1.x; new_matrix.matrix[4] = row_1.y; new_matrix.matrix[5] = row_1.z;
new_matrix.matrix[6] = row_2.x; new_matrix.matrix[7] = row_2.y; new_matrix.matrix[8] = row_2.z;
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//new_matrix.debug(PSTR("new_matrix"));
return new_matrix;
}
void matrix_3x3::set_to_identity() {
matrix[0] = 1; matrix[1] = 0; matrix[2] = 0;
matrix[3] = 0; matrix[4] = 1; matrix[5] = 0;
matrix[6] = 0; matrix[7] = 0; matrix[8] = 1;
}
matrix_3x3 matrix_3x3::create_look_at(vector_3 target) {
vector_3 z_row = target.get_normal();
vector_3 x_row = vector_3(1, 0, -target.x / target.z).get_normal();
vector_3 y_row = vector_3::cross(z_row, x_row).get_normal();
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// x_row.debug(PSTR("x_row"));
// y_row.debug(PSTR("y_row"));
// z_row.debug(PSTR("z_row"));
// create the matrix already correctly transposed
matrix_3x3 rot = matrix_3x3::create_from_rows(x_row, y_row, z_row);
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// rot.debug(PSTR("rot"));
return rot;
}
matrix_3x3 matrix_3x3::transpose(matrix_3x3 original) {
matrix_3x3 new_matrix;
new_matrix.matrix[0] = original.matrix[0]; new_matrix.matrix[1] = original.matrix[3]; new_matrix.matrix[2] = original.matrix[6];
new_matrix.matrix[3] = original.matrix[1]; new_matrix.matrix[4] = original.matrix[4]; new_matrix.matrix[5] = original.matrix[7];
new_matrix.matrix[6] = original.matrix[2]; new_matrix.matrix[7] = original.matrix[5]; new_matrix.matrix[8] = original.matrix[8];
return new_matrix;
}
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void matrix_3x3::debug(const char * const title) {
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if (title != NULL) {
serialprintPGM(title);
SERIAL_EOL();
}
uint8_t count = 0;
for (uint8_t i = 0; i < 3; i++) {
for (uint8_t j = 0; j < 3; j++) {
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if (matrix[count] >= 0.0) SERIAL_PROTOCOLCHAR('+');
SERIAL_PROTOCOL_F(matrix[count], 6);
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SERIAL_PROTOCOLCHAR(' ');
count++;
}
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SERIAL_EOL();
}
}
#endif // HAS_ABL