Marlin 2.0 for Flying Bear 4S/5
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/**
* Marlin 3D Printer Firmware
* Copyright (c) 2020 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 <https://www.gnu.org/licenses/>.
*
*/
#pragma once
#include <math.h>
#include <stddef.h>
#include "../inc/MarlinConfigPre.h"
//
// Conditional type assignment magic. For example...
//
// typename IF<(MYOPT==12), int, float>::type myvar;
//
template <bool, class L, class R>
struct IF { typedef R type; };
template <class L, class R>
struct IF<true, L, R> { typedef L type; };
#define NUM_AXIS_GANG(V...) GANG_N(NUM_AXES, V)
#define NUM_AXIS_CODE(V...) CODE_N(NUM_AXES, V)
#define NUM_AXIS_LIST(V...) LIST_N(NUM_AXES, V)
#define NUM_AXIS_LIST_1(V) LIST_N_1(NUM_AXES, V)
#define NUM_AXIS_ARRAY(V...) { NUM_AXIS_LIST(V) }
#define NUM_AXIS_ARRAY_1(V) { NUM_AXIS_LIST_1(V) }
#define NUM_AXIS_ARGS(T...) NUM_AXIS_LIST(T x, T y, T z, T i, T j, T k, T u, T v, T w)
#define NUM_AXIS_ELEM(O) NUM_AXIS_LIST(O.x, O.y, O.z, O.i, O.j, O.k, O.u, O.v, O.w)
#define NUM_AXIS_DEFS(T,V) NUM_AXIS_LIST(T x=V, T y=V, T z=V, T i=V, T j=V, T k=V, T u=V, T v=V, T w=V)
#define MAIN_AXIS_NAMES NUM_AXIS_LIST(X, Y, Z, I, J, K, U, V, W)
#define MAIN_AXIS_MAP(F) MAP(F, MAIN_AXIS_NAMES)
#define STR_AXES_MAIN NUM_AXIS_GANG("X", "Y", "Z", STR_I, STR_J, STR_K, STR_U, STR_V, STR_W)
#define LOGICAL_AXIS_GANG(E,V...) NUM_AXIS_GANG(V) GANG_ITEM_E(E)
#define LOGICAL_AXIS_CODE(E,V...) NUM_AXIS_CODE(V) CODE_ITEM_E(E)
#define LOGICAL_AXIS_LIST(E,V...) NUM_AXIS_LIST(V) LIST_ITEM_E(E)
#define LOGICAL_AXIS_LIST_1(V) NUM_AXIS_LIST_1(V) LIST_ITEM_E(V)
#define LOGICAL_AXIS_ARRAY(E,V...) { LOGICAL_AXIS_LIST(E,V) }
#define LOGICAL_AXIS_ARRAY_1(V) { LOGICAL_AXIS_LIST_1(V) }
#define LOGICAL_AXIS_ARGS(T...) LOGICAL_AXIS_LIST(T e, T x, T y, T z, T i, T j, T k, T u, T v, T w)
#define LOGICAL_AXIS_ELEM(O) LOGICAL_AXIS_LIST(O.e, O.x, O.y, O.z, O.i, O.j, O.k, O.u, O.v, O.w)
#define LOGICAL_AXIS_DECL(T,V) LOGICAL_AXIS_LIST(T e=V, T x=V, T y=V, T z=V, T i=V, T j=V, T k=V, T u=V, T v=V, T w=V)
#define LOGICAL_AXIS_NAMES LOGICAL_AXIS_LIST(E, X, Y, Z, I, J, K, U, V, W)
#define LOGICAL_AXIS_MAP(F) MAP(F, LOGICAL_AXIS_NAMES)
#define STR_AXES_LOGICAL LOGICAL_AXIS_GANG("E", "X", "Y", "Z", STR_I, STR_J, STR_K, STR_U, STR_V, STR_W)
#define XYZ_GANG(V...) GANG_N(PRIMARY_LINEAR_AXES, V)
#define XYZ_CODE(V...) CODE_N(PRIMARY_LINEAR_AXES, V)
#define SECONDARY_AXIS_GANG(V...) GANG_N(SECONDARY_AXES, V)
#define SECONDARY_AXIS_CODE(V...) CODE_N(SECONDARY_AXES, V)
#if HAS_ROTATIONAL_AXES
#define ROTATIONAL_AXIS_GANG(V...) GANG_N(ROTATIONAL_AXES, V)
#endif
#if HAS_EXTRUDERS
#define LIST_ITEM_E(N) , N
#define CODE_ITEM_E(N) ; N
#define GANG_ITEM_E(N) N
#else
#define LIST_ITEM_E(N)
#define CODE_ITEM_E(N)
#define GANG_ITEM_E(N)
#endif
#define AXIS_COLLISION(L) (AXIS4_NAME == L || AXIS5_NAME == L || AXIS6_NAME == L || AXIS7_NAME == L || AXIS8_NAME == L || AXIS9_NAME == L)
// General Flags for some number of states
template<size_t N>
struct Flags {
typedef typename IF<(N>8), uint16_t, uint8_t>::type bits_t;
typedef struct { bool b0:1, b1:1, b2:1, b3:1, b4:1, b5:1, b6:1, b7:1; } N8;
typedef struct { bool b0:1, b1:1, b2:1, b3:1, b4:1, b5:1, b6:1, b7:1, b8:1, b9:1, b10:1, b11:1, b12:1, b13:1, b14:1, b15:1; } N16;
union {
bits_t b;
typename IF<(N>8), N16, N8>::type flag;
};
void reset() { b = 0; }
void set(const int n, const bool onoff) { onoff ? set(n) : clear(n); }
void set(const int n) { b |= (bits_t)_BV(n); }
void clear(const int n) { b &= ~(bits_t)_BV(n); }
bool test(const int n) const { return TEST(b, n); }
const bool operator[](const int n) { return test(n); }
const bool operator[](const int n) const { return test(n); }
int size() const { return sizeof(b); }
};
// Specialization for a single bool flag
template<>
struct Flags<1> {
bool b;
void reset() { b = false; }
void set(const int n, const bool onoff) { onoff ? set(n) : clear(n); }
void set(const int) { b = true; }
void clear(const int) { b = false; }
bool test(const int) const { return b; }
bool& operator[](const int) { return b; }
bool operator[](const int) const { return b; }
int size() const { return sizeof(b); }
};
typedef Flags<8> flags_8_t;
typedef Flags<16> flags_16_t;
// Flags for some axis states, with per-axis aliases xyzijkuvwe
typedef struct AxisFlags {
union {
struct Flags<LOGICAL_AXES> flags;
struct { bool LOGICAL_AXIS_LIST(e:1, x:1, y:1, z:1, i:1, j:1, k:1, u:1, v:1, w:1); };
};
void reset() { flags.reset(); }
void set(const int n) { flags.set(n); }
void set(const int n, const bool onoff) { flags.set(n, onoff); }
void clear(const int n) { flags.clear(n); }
bool test(const int n) const { return flags.test(n); }
bool operator[](const int n) { return flags[n]; }
bool operator[](const int n) const { return flags[n]; }
int size() const { return sizeof(flags); }
} axis_flags_t;
//
// Enumerated axis indices
//
// - X_AXIS, Y_AXIS, and Z_AXIS should be used for axes in Cartesian space
// - A_AXIS, B_AXIS, and C_AXIS should be used for Steppers, corresponding to XYZ on Cartesians
// - X_HEAD, Y_HEAD, and Z_HEAD should be used for Steppers on Core kinematics
//
enum AxisEnum : uint8_t {
// Linear axes may be controlled directly or indirectly
NUM_AXIS_LIST(X_AXIS, Y_AXIS, Z_AXIS, I_AXIS, J_AXIS, K_AXIS, U_AXIS, V_AXIS, W_AXIS)
// Extruder axes may be considered distinctly
#define _EN_ITEM(N) , E##N##_AXIS
REPEAT(EXTRUDERS, _EN_ITEM)
#undef _EN_ITEM
// Core also keeps toolhead directions
#if ANY(IS_CORE, MARKFORGED_XY, MARKFORGED_YX)
, X_HEAD, Y_HEAD, Z_HEAD
#endif
// Distinct axes, including all E and Core
, NUM_AXIS_ENUMS
// Most of the time we refer only to the single E_AXIS
#if HAS_EXTRUDERS
, E_AXIS = E0_AXIS
#endif
// A, B, and C are for DELTA, SCARA, etc.
, A_AXIS = X_AXIS
#if HAS_Y_AXIS
, B_AXIS = Y_AXIS
#endif
#if HAS_Z_AXIS
, C_AXIS = Z_AXIS
#endif
// To refer to all or none
, ALL_AXES_ENUM = 0xFE, NO_AXIS_ENUM = 0xFF
};
typedef IF<(NUM_AXIS_ENUMS > 8), uint16_t, uint8_t>::type axis_bits_t;
//
// Loop over axes
//
#define LOOP_ABC(VAR) LOOP_S_LE_N(VAR, A_AXIS, C_AXIS)
#define LOOP_NUM_AXES(VAR) LOOP_S_L_N(VAR, X_AXIS, NUM_AXES)
#define LOOP_LOGICAL_AXES(VAR) LOOP_S_L_N(VAR, X_AXIS, LOGICAL_AXES)
#define LOOP_DISTINCT_AXES(VAR) LOOP_S_L_N(VAR, X_AXIS, DISTINCT_AXES)
#define LOOP_DISTINCT_E(VAR) LOOP_L_N(VAR, DISTINCT_E)
//
// feedRate_t is just a humble float
//
typedef float feedRate_t;
//
// celsius_t is the native unit of temperature. Signed to handle a disconnected thermistor value (-14).
// For more resolition (e.g., for a chocolate printer) this may later be changed to Celsius x 100
//
typedef uint16_t raw_adc_t;
typedef int16_t celsius_t;
typedef float celsius_float_t;
//
// On AVR pointers are only 2 bytes so use 'const float &' for 'const float'
//
#ifdef __AVR__
typedef const float & const_float_t;
#else
typedef const float const_float_t;
#endif
typedef const_float_t const_feedRate_t;
typedef const_float_t const_celsius_float_t;
// Conversion macros
#define MMM_TO_MMS(MM_M) feedRate_t(static_cast<float>(MM_M) / 60.0f)
#define MMS_TO_MMM(MM_S) (static_cast<float>(MM_S) * 60.0f)
//
// Coordinates structures for XY, XYZ, XYZE...
//
// Helpers
#define _RECIP(N) ((N) ? 1.0f / static_cast<float>(N) : 0.0f)
#define _ABS(N) ((N) < 0 ? -(N) : (N))
#define _LS(N) (N = (T)(uint32_t(N) << v))
#define _RS(N) (N = (T)(uint32_t(N) >> v))
#define FI FORCE_INLINE
// Forward declarations
template<typename T> struct XYval;
template<typename T> struct XYZval;
template<typename T> struct XYZEval;
typedef struct XYval<bool> xy_bool_t;
typedef struct XYZval<bool> xyz_bool_t;
typedef struct XYZEval<bool> xyze_bool_t;
typedef struct XYval<char> xy_char_t;
typedef struct XYZval<char> xyz_char_t;
typedef struct XYZEval<char> xyze_char_t;
typedef struct XYval<unsigned char> xy_uchar_t;
typedef struct XYZval<unsigned char> xyz_uchar_t;
typedef struct XYZEval<unsigned char> xyze_uchar_t;
typedef struct XYval<int8_t> xy_int8_t;
typedef struct XYZval<int8_t> xyz_int8_t;
typedef struct XYZEval<int8_t> xyze_int8_t;
typedef struct XYval<uint8_t> xy_uint8_t;
typedef struct XYZval<uint8_t> xyz_uint8_t;
typedef struct XYZEval<uint8_t> xyze_uint8_t;
typedef struct XYval<int16_t> xy_int_t;
typedef struct XYZval<int16_t> xyz_int_t;
typedef struct XYZEval<int16_t> xyze_int_t;
typedef struct XYval<uint16_t> xy_uint_t;
typedef struct XYZval<uint16_t> xyz_uint_t;
typedef struct XYZEval<uint16_t> xyze_uint_t;
typedef struct XYval<int32_t> xy_long_t;
typedef struct XYZval<int32_t> xyz_long_t;
typedef struct XYZEval<int32_t> xyze_long_t;
typedef struct XYval<uint32_t> xy_ulong_t;
typedef struct XYZval<uint32_t> xyz_ulong_t;
typedef struct XYZEval<uint32_t> xyze_ulong_t;
typedef struct XYZval<volatile int32_t> xyz_vlong_t;
typedef struct XYZEval<volatile int32_t> xyze_vlong_t;
typedef struct XYval<float> xy_float_t;
typedef struct XYZval<float> xyz_float_t;
typedef struct XYZEval<float> xyze_float_t;
typedef struct XYval<feedRate_t> xy_feedrate_t;
typedef struct XYZval<feedRate_t> xyz_feedrate_t;
typedef struct XYZEval<feedRate_t> xyze_feedrate_t;
typedef xy_uint8_t xy_byte_t;
typedef xyz_uint8_t xyz_byte_t;
typedef xyze_uint8_t xyze_byte_t;
typedef xyz_long_t abc_long_t;
typedef xyze_long_t abce_long_t;
typedef xyz_ulong_t abc_ulong_t;
typedef xyze_ulong_t abce_ulong_t;
typedef xy_float_t xy_pos_t;
typedef xyz_float_t xyz_pos_t;
typedef xyze_float_t xyze_pos_t;
typedef xy_float_t ab_float_t;
typedef xyz_float_t abc_float_t;
typedef xyze_float_t abce_float_t;
typedef ab_float_t ab_pos_t;
typedef abc_float_t abc_pos_t;
typedef abce_float_t abce_pos_t;
// External conversion methods
void toLogical(xy_pos_t &raw);
void toLogical(xyz_pos_t &raw);
void toLogical(xyze_pos_t &raw);
void toNative(xy_pos_t &raw);
void toNative(xyz_pos_t &raw);
void toNative(xyze_pos_t &raw);
//
// Paired XY coordinates, counters, flags, etc.
//
template<typename T>
struct XYval {
union {
struct { T x, y; };
struct { T a, b; };
T pos[2];
};
// Set all to 0
FI void reset() { x = y = 0; }
// Setters taking struct types and arrays
FI void set(const T px) { x = px; }
#if HAS_Y_AXIS
FI void set(const T px, const T py) { x = px; y = py; }
FI void set(const T (&arr)[XY]) { x = arr[0]; y = arr[1]; }
#endif
#if NUM_AXES > XY
FI void set(const T (&arr)[NUM_AXES]) { x = arr[0]; y = arr[1]; }
#endif
#if LOGICAL_AXES > NUM_AXES
FI void set(const T (&arr)[LOGICAL_AXES]) { x = arr[0]; y = arr[1]; }
#if DISTINCT_AXES > LOGICAL_AXES
FI void set(const T (&arr)[DISTINCT_AXES]) { x = arr[0]; y = arr[1]; }
#endif
#endif
// Length reduced to one dimension
FI T magnitude() const { return (T)sqrtf(x*x + y*y); }
// Pointer to the data as a simple array
FI operator T* () { return pos; }
// If any element is true then it's true
FI operator bool() { return x || y; }
// Explicit copy and copies with conversion
FI XYval<T> copy() const { return *this; }
FI XYval<T> ABS() const { return { T(_ABS(x)), T(_ABS(y)) }; }
FI XYval<int16_t> asInt() { return { int16_t(x), int16_t(y) }; }
FI XYval<int16_t> asInt() const { return { int16_t(x), int16_t(y) }; }
FI XYval<int32_t> asLong() { return { int32_t(x), int32_t(y) }; }
FI XYval<int32_t> asLong() const { return { int32_t(x), int32_t(y) }; }
FI XYval<int32_t> ROUNDL() { return { int32_t(LROUND(x)), int32_t(LROUND(y)) }; }
FI XYval<int32_t> ROUNDL() const { return { int32_t(LROUND(x)), int32_t(LROUND(y)) }; }
FI XYval<float> asFloat() { return { static_cast<float>(x), static_cast<float>(y) }; }
FI XYval<float> asFloat() const { return { static_cast<float>(x), static_cast<float>(y) }; }
FI XYval<float> reciprocal() const { return { _RECIP(x), _RECIP(y) }; }
// Marlin workspace shifting is done with G92 and M206
FI XYval<float> asLogical() const { XYval<float> o = asFloat(); toLogical(o); return o; }
FI XYval<float> asNative() const { XYval<float> o = asFloat(); toNative(o); return o; }
// Cast to a type with more fields by making a new object
FI operator XYZval<T>() { return { x, y }; }
FI operator XYZval<T>() const { return { x, y }; }
FI operator XYZEval<T>() { return { x, y }; }
FI operator XYZEval<T>() const { return { x, y }; }
// Accessor via an AxisEnum (or any integer) [index]
FI T& operator[](const int n) { return pos[n]; }
FI const T& operator[](const int n) const { return pos[n]; }
// Assignment operator overrides do the expected thing
FI XYval<T>& operator= (const T v) { set(v, v ); return *this; }
FI XYval<T>& operator= (const XYZval<T> &rs) { set(rs.x, rs.y); return *this; }
FI XYval<T>& operator= (const XYZEval<T> &rs) { set(rs.x, rs.y); return *this; }
// Override other operators to get intuitive behaviors
FI XYval<T> operator+ (const XYval<T> &rs) const { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator+ (const XYval<T> &rs) { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator- (const XYval<T> &rs) const { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator- (const XYval<T> &rs) { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator* (const XYval<T> &rs) const { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator* (const XYval<T> &rs) { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator/ (const XYval<T> &rs) const { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator/ (const XYval<T> &rs) { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator+ (const XYZval<T> &rs) const { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator+ (const XYZval<T> &rs) { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator- (const XYZval<T> &rs) const { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator- (const XYZval<T> &rs) { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator* (const XYZval<T> &rs) const { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator* (const XYZval<T> &rs) { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator/ (const XYZval<T> &rs) const { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator/ (const XYZval<T> &rs) { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator+ (const XYZEval<T> &rs) const { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator+ (const XYZEval<T> &rs) { XYval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYval<T> operator- (const XYZEval<T> &rs) const { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator- (const XYZEval<T> &rs) { XYval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYval<T> operator* (const XYZEval<T> &rs) const { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator* (const XYZEval<T> &rs) { XYval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYval<T> operator/ (const XYZEval<T> &rs) const { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator/ (const XYZEval<T> &rs) { XYval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYval<T> operator* (const float &v) const { XYval<T> ls = *this; ls.x *= v; ls.y *= v; return ls; }
FI XYval<T> operator* (const float &v) { XYval<T> ls = *this; ls.x *= v; ls.y *= v; return ls; }
FI XYval<T> operator* (const int &v) const { XYval<T> ls = *this; ls.x *= v; ls.y *= v; return ls; }
FI XYval<T> operator* (const int &v) { XYval<T> ls = *this; ls.x *= v; ls.y *= v; return ls; }
FI XYval<T> operator/ (const float &v) const { XYval<T> ls = *this; ls.x /= v; ls.y /= v; return ls; }
FI XYval<T> operator/ (const float &v) { XYval<T> ls = *this; ls.x /= v; ls.y /= v; return ls; }
FI XYval<T> operator/ (const int &v) const { XYval<T> ls = *this; ls.x /= v; ls.y /= v; return ls; }
FI XYval<T> operator/ (const int &v) { XYval<T> ls = *this; ls.x /= v; ls.y /= v; return ls; }
FI XYval<T> operator>>(const int &v) const { XYval<T> ls = *this; _RS(ls.x); _RS(ls.y); return ls; }
FI XYval<T> operator>>(const int &v) { XYval<T> ls = *this; _RS(ls.x); _RS(ls.y); return ls; }
FI XYval<T> operator<<(const int &v) const { XYval<T> ls = *this; _LS(ls.x); _LS(ls.y); return ls; }
FI XYval<T> operator<<(const int &v) { XYval<T> ls = *this; _LS(ls.x); _LS(ls.y); return ls; }
FI const XYval<T> operator-() const { XYval<T> o = *this; o.x = -x; o.y = -y; return o; }
FI XYval<T> operator-() { XYval<T> o = *this; o.x = -x; o.y = -y; return o; }
// Modifier operators
FI XYval<T>& operator+=(const XYval<T> &rs) { x += rs.x; y += rs.y; return *this; }
FI XYval<T>& operator-=(const XYval<T> &rs) { x -= rs.x; y -= rs.y; return *this; }
FI XYval<T>& operator*=(const XYval<T> &rs) { x *= rs.x; y *= rs.y; return *this; }
FI XYval<T>& operator+=(const XYZval<T> &rs) { x += rs.x; y += rs.y; return *this; }
FI XYval<T>& operator-=(const XYZval<T> &rs) { x -= rs.x; y -= rs.y; return *this; }
FI XYval<T>& operator*=(const XYZval<T> &rs) { x *= rs.x; y *= rs.y; return *this; }
FI XYval<T>& operator+=(const XYZEval<T> &rs) { x += rs.x; y += rs.y; return *this; }
FI XYval<T>& operator-=(const XYZEval<T> &rs) { x -= rs.x; y -= rs.y; return *this; }
FI XYval<T>& operator*=(const XYZEval<T> &rs) { x *= rs.x; y *= rs.y; return *this; }
FI XYval<T>& operator*=(const float &v) { x *= v; y *= v; return *this; }
FI XYval<T>& operator*=(const int &v) { x *= v; y *= v; return *this; }
FI XYval<T>& operator>>=(const int &v) { _RS(x); _RS(y); return *this; }
FI XYval<T>& operator<<=(const int &v) { _LS(x); _LS(y); return *this; }
// Exact comparisons. For floats a "NEAR" operation may be better.
FI bool operator==(const XYval<T> &rs) { return x == rs.x && y == rs.y; }
FI bool operator==(const XYZval<T> &rs) { return x == rs.x && y == rs.y; }
FI bool operator==(const XYZEval<T> &rs) { return x == rs.x && y == rs.y; }
FI bool operator==(const XYval<T> &rs) const { return x == rs.x && y == rs.y; }
FI bool operator==(const XYZval<T> &rs) const { return x == rs.x && y == rs.y; }
FI bool operator==(const XYZEval<T> &rs) const { return x == rs.x && y == rs.y; }
FI bool operator!=(const XYval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYZval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYZEval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYval<T> &rs) const { return !operator==(rs); }
FI bool operator!=(const XYZval<T> &rs) const { return !operator==(rs); }
FI bool operator!=(const XYZEval<T> &rs) const { return !operator==(rs); }
};
//
// Linear Axes coordinates, counters, flags, etc.
//
template<typename T>
struct XYZval {
union {
struct { T NUM_AXIS_ARGS(); };
struct { T NUM_AXIS_LIST(a, b, c, _i, _j, _k, _u, _v, _w); };
T pos[NUM_AXES];
};
// Set all to 0
FI void reset() { NUM_AXIS_GANG(x =, y =, z =, i =, j =, k =, u =, v =, w =) 0; }
// Setters taking struct types and arrays
FI void set(const T px) { x = px; }
FI void set(const T px, const T py) { x = px; y = py; }
FI void set(const XYval<T> pxy) { x = pxy.x; y = pxy.y; }
FI void set(const XYval<T> pxy, const T pz) { NUM_AXIS_CODE(x = pxy.x, y = pxy.y, z = pz, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP); }
FI void set(const T (&arr)[XY]) { x = arr[0]; y = arr[1]; }
#if HAS_Z_AXIS
FI void set(const T (&arr)[NUM_AXES]) { NUM_AXIS_CODE(x = arr[0], y = arr[1], z = arr[2], i = arr[3], j = arr[4], k = arr[5], u = arr[6], v = arr[7], w = arr[8]); }
FI void set(NUM_AXIS_ARGS(const T)) { NUM_AXIS_CODE(a = x, b = y, c = z, _i = i, _j = j, _k = k, _u = u, _v = v, _w = w ); }
#endif
#if LOGICAL_AXES > NUM_AXES
FI void set(const T (&arr)[LOGICAL_AXES]) { NUM_AXIS_CODE(x = arr[0], y = arr[1], z = arr[2], i = arr[3], j = arr[4], k = arr[5], u = arr[6], v = arr[7], w = arr[8]); }
FI void set(LOGICAL_AXIS_ARGS(const T)) { NUM_AXIS_CODE(a = x, b = y, c = z, _i = i, _j = j, _k = k, _u = u, _v = v, _w = w ); }
#if DISTINCT_AXES > LOGICAL_AXES
FI void set(const T (&arr)[DISTINCT_AXES]) { NUM_AXIS_CODE(x = arr[0], y = arr[1], z = arr[2], i = arr[3], j = arr[4], k = arr[5], u = arr[6], v = arr[7], w = arr[8]); }
#endif
#endif
#if HAS_I_AXIS
FI void set(const T px, const T py, const T pz) { x = px; y = py; z = pz; }
#endif
#if HAS_J_AXIS
FI void set(const T px, const T py, const T pz, const T pi) { x = px; y = py; z = pz; i = pi; }
#endif
#if HAS_K_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj) { x = px; y = py; z = pz; i = pi; j = pj; }
#endif
#if HAS_U_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; }
#endif
#if HAS_V_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk, const T pu) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; u = pu; }
#endif
#if HAS_W_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk, const T pu, const T pv) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; u = pu; v = pv; }
#endif
// Length reduced to one dimension
FI T magnitude() const { return (T)sqrtf(NUM_AXIS_GANG(x*x, + y*y, + z*z, + i*i, + j*j, + k*k, + u*u, + v*v, + w*w)); }
// Pointer to the data as a simple array
FI operator T* () { return pos; }
// If any element is true then it's true
FI operator bool() { return NUM_AXIS_GANG(x, || y, || z, || i, || j, || k, || u, || v, || w); }
// Explicit copy and copies with conversion
FI XYZval<T> copy() const { XYZval<T> o = *this; return o; }
FI XYZval<T> ABS() const { return NUM_AXIS_ARRAY(T(_ABS(x)), T(_ABS(y)), T(_ABS(z)), T(_ABS(i)), T(_ABS(j)), T(_ABS(k)), T(_ABS(u)), T(_ABS(v)), T(_ABS(w))); }
FI XYZval<int16_t> asInt() { return NUM_AXIS_ARRAY(int16_t(x), int16_t(y), int16_t(z), int16_t(i), int16_t(j), int16_t(k), int16_t(u), int16_t(v), int16_t(w)); }
FI XYZval<int16_t> asInt() const { return NUM_AXIS_ARRAY(int16_t(x), int16_t(y), int16_t(z), int16_t(i), int16_t(j), int16_t(k), int16_t(u), int16_t(v), int16_t(w)); }
FI XYZval<int32_t> asLong() { return NUM_AXIS_ARRAY(int32_t(x), int32_t(y), int32_t(z), int32_t(i), int32_t(j), int32_t(k), int32_t(u), int32_t(v), int32_t(w)); }
FI XYZval<int32_t> asLong() const { return NUM_AXIS_ARRAY(int32_t(x), int32_t(y), int32_t(z), int32_t(i), int32_t(j), int32_t(k), int32_t(u), int32_t(v), int32_t(w)); }
FI XYZval<int32_t> ROUNDL() { return NUM_AXIS_ARRAY(int32_t(LROUND(x)), int32_t(LROUND(y)), int32_t(LROUND(z)), int32_t(LROUND(i)), int32_t(LROUND(j)), int32_t(LROUND(k)), int32_t(LROUND(u)), int32_t(LROUND(v)), int32_t(LROUND(w))); }
FI XYZval<int32_t> ROUNDL() const { return NUM_AXIS_ARRAY(int32_t(LROUND(x)), int32_t(LROUND(y)), int32_t(LROUND(z)), int32_t(LROUND(i)), int32_t(LROUND(j)), int32_t(LROUND(k)), int32_t(LROUND(u)), int32_t(LROUND(v)), int32_t(LROUND(w))); }
FI XYZval<float> asFloat() { return NUM_AXIS_ARRAY(static_cast<float>(x), static_cast<float>(y), static_cast<float>(z), static_cast<float>(i), static_cast<float>(j), static_cast<float>(k), static_cast<float>(u), static_cast<float>(v), static_cast<float>(w)); }
FI XYZval<float> asFloat() const { return NUM_AXIS_ARRAY(static_cast<float>(x), static_cast<float>(y), static_cast<float>(z), static_cast<float>(i), static_cast<float>(j), static_cast<float>(k), static_cast<float>(u), static_cast<float>(v), static_cast<float>(w)); }
FI XYZval<float> reciprocal() const { return NUM_AXIS_ARRAY(_RECIP(x), _RECIP(y), _RECIP(z), _RECIP(i), _RECIP(j), _RECIP(k), _RECIP(u), _RECIP(v), _RECIP(w)); }
// Marlin workspace shifting is done with G92 and M206
FI XYZval<float> asLogical() const { XYZval<float> o = asFloat(); toLogical(o); return o; }
FI XYZval<float> asNative() const { XYZval<float> o = asFloat(); toNative(o); return o; }
// In-place cast to types having fewer fields
FI operator XYval<T>&() { return *(XYval<T>*)this; }
FI operator const XYval<T>&() const { return *(const XYval<T>*)this; }
// Cast to a type with more fields by making a new object
FI operator XYZEval<T>() const { return NUM_AXIS_ARRAY(x, y, z, i, j, k, u, v, w); }
// Accessor via an AxisEnum (or any integer) [index]
FI T& operator[](const int n) { return pos[n]; }
FI const T& operator[](const int n) const { return pos[n]; }
// Assignment operator overrides do the expected thing
FI XYZval<T>& operator= (const T v) { set(ARRAY_N_1(NUM_AXES, v)); return *this; }
FI XYZval<T>& operator= (const XYval<T> &rs) { set(rs.x, rs.y ); return *this; }
FI XYZval<T>& operator= (const XYZEval<T> &rs) { set(NUM_AXIS_ELEM(rs)); return *this; }
// Override other operators to get intuitive behaviors
FI XYZval<T> operator+ (const XYval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator+ (const XYval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator- (const XYval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator- (const XYval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator* (const XYval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator* (const XYval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator/ (const XYval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator/ (const XYval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, NOOP , NOOP , NOOP , NOOP , NOOP , NOOP , NOOP ); return ls; }
FI XYZval<T> operator+ (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZval<T> operator+ (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZval<T> operator- (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZval<T> operator- (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZval<T> operator* (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZval<T> operator* (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZval<T> operator/ (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZval<T> operator/ (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZval<T> operator+ (const XYZEval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZval<T> operator+ (const XYZEval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZval<T> operator- (const XYZEval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZval<T> operator- (const XYZEval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZval<T> operator* (const XYZEval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZval<T> operator* (const XYZEval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZval<T> operator/ (const XYZEval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZval<T> operator/ (const XYZEval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZval<T> operator* (const float &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZval<T> operator* (const float &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZval<T> operator* (const int &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZval<T> operator* (const int &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZval<T> operator/ (const float &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZval<T> operator/ (const float &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZval<T> operator/ (const int &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZval<T> operator/ (const int &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZval<T> operator>>(const int &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(_RS(ls.x), _RS(ls.y), _RS(ls.z), _RS(ls.i), _RS(ls.j), _RS(ls.k), _RS(ls.u), _RS(ls.v), _RS(ls.w) ); return ls; }
FI XYZval<T> operator>>(const int &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(_RS(ls.x), _RS(ls.y), _RS(ls.z), _RS(ls.i), _RS(ls.j), _RS(ls.k), _RS(ls.u), _RS(ls.v), _RS(ls.w) ); return ls; }
FI XYZval<T> operator<<(const int &v) const { XYZval<T> ls = *this; NUM_AXIS_CODE(_LS(ls.x), _LS(ls.y), _LS(ls.z), _LS(ls.i), _LS(ls.j), _LS(ls.k), _LS(ls.u), _LS(ls.v), _LS(ls.w) ); return ls; }
FI XYZval<T> operator<<(const int &v) { XYZval<T> ls = *this; NUM_AXIS_CODE(_LS(ls.x), _LS(ls.y), _LS(ls.z), _LS(ls.i), _LS(ls.j), _LS(ls.k), _LS(ls.u), _LS(ls.v), _LS(ls.w) ); return ls; }
FI const XYZval<T> operator-() const { XYZval<T> o = *this; NUM_AXIS_CODE(o.x = -x, o.y = -y, o.z = -z, o.i = -i, o.j = -j, o.k = -k, o.u = -u, o.v = -v, o.w = -w); return o; }
FI XYZval<T> operator-() { XYZval<T> o = *this; NUM_AXIS_CODE(o.x = -x, o.y = -y, o.z = -z, o.i = -i, o.j = -j, o.k = -k, o.u = -u, o.v = -v, o.w = -w); return o; }
// Modifier operators
FI XYZval<T>& operator+=(const XYval<T> &rs) { NUM_AXIS_CODE(x += rs.x, y += rs.y, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP ); return *this; }
FI XYZval<T>& operator-=(const XYval<T> &rs) { NUM_AXIS_CODE(x -= rs.x, y -= rs.y, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP ); return *this; }
FI XYZval<T>& operator*=(const XYval<T> &rs) { NUM_AXIS_CODE(x *= rs.x, y *= rs.y, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP ); return *this; }
FI XYZval<T>& operator/=(const XYval<T> &rs) { NUM_AXIS_CODE(x /= rs.x, y /= rs.y, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP, NOOP ); return *this; }
FI XYZval<T>& operator+=(const XYZval<T> &rs) { NUM_AXIS_CODE(x += rs.x, y += rs.y, z += rs.z, i += rs.i, j += rs.j, k += rs.k, u += rs.u, v += rs.v, w += rs.w); return *this; }
FI XYZval<T>& operator-=(const XYZval<T> &rs) { NUM_AXIS_CODE(x -= rs.x, y -= rs.y, z -= rs.z, i -= rs.i, j -= rs.j, k -= rs.k, u -= rs.u, v -= rs.v, w -= rs.w); return *this; }
FI XYZval<T>& operator*=(const XYZval<T> &rs) { NUM_AXIS_CODE(x *= rs.x, y *= rs.y, z *= rs.z, i *= rs.i, j *= rs.j, k *= rs.k, u *= rs.u, v *= rs.v, w *= rs.w); return *this; }
FI XYZval<T>& operator/=(const XYZval<T> &rs) { NUM_AXIS_CODE(x /= rs.x, y /= rs.y, z /= rs.z, i /= rs.i, j /= rs.j, k /= rs.k, u /= rs.u, v /= rs.v, w /= rs.w); return *this; }
FI XYZval<T>& operator+=(const XYZEval<T> &rs) { NUM_AXIS_CODE(x += rs.x, y += rs.y, z += rs.z, i += rs.i, j += rs.j, k += rs.k, u += rs.u, v += rs.v, w += rs.w); return *this; }
FI XYZval<T>& operator-=(const XYZEval<T> &rs) { NUM_AXIS_CODE(x -= rs.x, y -= rs.y, z -= rs.z, i -= rs.i, j -= rs.j, k -= rs.k, u -= rs.u, v -= rs.v, w -= rs.w); return *this; }
FI XYZval<T>& operator*=(const XYZEval<T> &rs) { NUM_AXIS_CODE(x *= rs.x, y *= rs.y, z *= rs.z, i *= rs.i, j *= rs.j, k *= rs.k, u *= rs.u, v *= rs.v, w *= rs.w); return *this; }
FI XYZval<T>& operator/=(const XYZEval<T> &rs) { NUM_AXIS_CODE(x /= rs.x, y /= rs.y, z /= rs.z, i /= rs.i, j /= rs.j, k /= rs.k, u /= rs.u, v /= rs.v, w /= rs.w); return *this; }
FI XYZval<T>& operator*=(const float &v) { NUM_AXIS_CODE(x *= v, y *= v, z *= v, i *= v, j *= v, k *= v, u *= v, v *= v, w *= v); return *this; }
FI XYZval<T>& operator*=(const int &v) { NUM_AXIS_CODE(x *= v, y *= v, z *= v, i *= v, j *= v, k *= v, u *= v, v *= v, w *= v); return *this; }
FI XYZval<T>& operator>>=(const int &v) { NUM_AXIS_CODE(_RS(x), _RS(y), _RS(z), _RS(i), _RS(j), _RS(k), _RS(u), _RS(v), _RS(w)); return *this; }
FI XYZval<T>& operator<<=(const int &v) { NUM_AXIS_CODE(_LS(x), _LS(y), _LS(z), _LS(i), _LS(j), _LS(k), _LS(u), _LS(v), _LS(w)); return *this; }
// Exact comparisons. For floats a "NEAR" operation may be better.
FI bool operator==(const XYZEval<T> &rs) { return true NUM_AXIS_GANG(&& x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator==(const XYZEval<T> &rs) const { return true NUM_AXIS_GANG(&& x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator!=(const XYZEval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYZEval<T> &rs) const { return !operator==(rs); }
};
//
// Logical Axes coordinates, counters, etc.
//
template<typename T>
struct XYZEval {
union {
struct { T LOGICAL_AXIS_ARGS(); };
struct { T LOGICAL_AXIS_LIST(_e, a, b, c, _i, _j, _k, _u, _v, _w); };
T pos[LOGICAL_AXES];
};
// Reset all to 0
FI void reset() { LOGICAL_AXIS_GANG(e =, x =, y =, z =, i =, j =, k =, u =, v =, w =) 0; }
// Setters for some number of linear axes, not all
FI void set(const T px) { x = px; }
FI void set(const T px, const T py) { x = px; y = py; }
#if HAS_I_AXIS
FI void set(const T px, const T py, const T pz) { x = px; y = py; z = pz; }
#endif
#if HAS_J_AXIS
FI void set(const T px, const T py, const T pz, const T pi) { x = px; y = py; z = pz; i = pi; }
#endif
#if HAS_K_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj) { x = px; y = py; z = pz; i = pi; j = pj; }
#endif
#if HAS_U_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; }
#endif
#if HAS_V_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk, const T pu) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; u = pu; }
#endif
#if HAS_W_AXIS
FI void set(const T px, const T py, const T pz, const T pi, const T pj, const T pk, const T pu, const T pv) { x = px; y = py; z = pz; i = pi; j = pj; k = pk; u = pu; v = pv; }
#endif
// Setters taking struct types and arrays
FI void set(const XYval<T> pxy) { x = pxy.x; y = pxy.y; }
FI void set(const XYZval<T> pxyz) { set(NUM_AXIS_ELEM(pxyz)); }
#if HAS_Z_AXIS
FI void set(NUM_AXIS_ARGS(const T)) { NUM_AXIS_CODE(a = x, b = y, c = z, _i = i, _j = j, _k = k, _u = u, _v = v, _w = w); }
#endif
FI void set(const XYval<T> pxy, const T pz) { set(pxy); TERN_(HAS_Z_AXIS, z = pz); }
#if LOGICAL_AXES > NUM_AXES
FI void set(const XYval<T> pxy, const T pz, const T pe) { set(pxy, pz); e = pe; }
FI void set(const XYZval<T> pxyz, const T pe) { set(pxyz); e = pe; }
FI void set(LOGICAL_AXIS_ARGS(const T)) { LOGICAL_AXIS_CODE(_e = e, a = x, b = y, c = z, _i = i, _j = j, _k = k, _u = u, _v = v, _w = w); }
#endif
// Length reduced to one dimension
FI T magnitude() const { return (T)sqrtf(LOGICAL_AXIS_GANG(+ e*e, + x*x, + y*y, + z*z, + i*i, + j*j, + k*k, + u*u, + v*v, + w*w)); }
// Pointer to the data as a simple array
FI operator T* () { return pos; }
// If any element is true then it's true
FI operator bool() { return 0 LOGICAL_AXIS_GANG(|| e, || x, || y, || z, || i, || j, || k, || u, || v, || w); }
// Explicit copy and copies with conversion
FI XYZEval<T> copy() const { XYZEval<T> v = *this; return v; }
FI XYZEval<T> ABS() const { return LOGICAL_AXIS_ARRAY(T(_ABS(e)), T(_ABS(x)), T(_ABS(y)), T(_ABS(z)), T(_ABS(i)), T(_ABS(j)), T(_ABS(k)), T(_ABS(u)), T(_ABS(v)), T(_ABS(w))); }
FI XYZEval<int16_t> asInt() { return LOGICAL_AXIS_ARRAY(int16_t(e), int16_t(x), int16_t(y), int16_t(z), int16_t(i), int16_t(j), int16_t(k), int16_t(u), int16_t(v), int16_t(w)); }
FI XYZEval<int16_t> asInt() const { return LOGICAL_AXIS_ARRAY(int16_t(e), int16_t(x), int16_t(y), int16_t(z), int16_t(i), int16_t(j), int16_t(k), int16_t(u), int16_t(v), int16_t(w)); }
FI XYZEval<int32_t> asLong() { return LOGICAL_AXIS_ARRAY(int32_t(e), int32_t(x), int32_t(y), int32_t(z), int32_t(i), int32_t(j), int32_t(k), int32_t(u), int32_t(v), int32_t(w)); }
FI XYZEval<int32_t> asLong() const { return LOGICAL_AXIS_ARRAY(int32_t(e), int32_t(x), int32_t(y), int32_t(z), int32_t(i), int32_t(j), int32_t(k), int32_t(u), int32_t(v), int32_t(w)); }
FI XYZEval<int32_t> ROUNDL() { return LOGICAL_AXIS_ARRAY(int32_t(LROUND(e)), int32_t(LROUND(x)), int32_t(LROUND(y)), int32_t(LROUND(z)), int32_t(LROUND(i)), int32_t(LROUND(j)), int32_t(LROUND(k)), int32_t(LROUND(u)), int32_t(LROUND(v)), int32_t(LROUND(w))); }
FI XYZEval<int32_t> ROUNDL() const { return LOGICAL_AXIS_ARRAY(int32_t(LROUND(e)), int32_t(LROUND(x)), int32_t(LROUND(y)), int32_t(LROUND(z)), int32_t(LROUND(i)), int32_t(LROUND(j)), int32_t(LROUND(k)), int32_t(LROUND(u)), int32_t(LROUND(v)), int32_t(LROUND(w))); }
FI XYZEval<float> asFloat() { return LOGICAL_AXIS_ARRAY(static_cast<float>(e), static_cast<float>(x), static_cast<float>(y), static_cast<float>(z), static_cast<float>(i), static_cast<float>(j), static_cast<float>(k), static_cast<float>(u), static_cast<float>(v), static_cast<float>(w)); }
FI XYZEval<float> asFloat() const { return LOGICAL_AXIS_ARRAY(static_cast<float>(e), static_cast<float>(x), static_cast<float>(y), static_cast<float>(z), static_cast<float>(i), static_cast<float>(j), static_cast<float>(k), static_cast<float>(u), static_cast<float>(v), static_cast<float>(w)); }
FI XYZEval<float> reciprocal() const { return LOGICAL_AXIS_ARRAY(_RECIP(e), _RECIP(x), _RECIP(y), _RECIP(z), _RECIP(i), _RECIP(j), _RECIP(k), _RECIP(u), _RECIP(v), _RECIP(w)); }
// Marlin workspace shifting is done with G92 and M206
FI XYZEval<float> asLogical() const { XYZEval<float> o = asFloat(); toLogical(o); return o; }
FI XYZEval<float> asNative() const { XYZEval<float> o = asFloat(); toNative(o); return o; }
// In-place cast to types having fewer fields
FI operator XYval<T>&() { return *(XYval<T>*)this; }
FI operator const XYval<T>&() const { return *(const XYval<T>*)this; }
FI operator XYZval<T>&() { return *(XYZval<T>*)this; }
FI operator const XYZval<T>&() const { return *(const XYZval<T>*)this; }
// Accessor via an AxisEnum (or any integer) [index]
FI T& operator[](const int n) { return pos[n]; }
FI const T& operator[](const int n) const { return pos[n]; }
// Assignment operator overrides do the expected thing
FI XYZEval<T>& operator= (const T v) { set(LOGICAL_AXIS_LIST_1(v)); return *this; }
FI XYZEval<T>& operator= (const XYval<T> &rs) { set(rs.x, rs.y); return *this; }
FI XYZEval<T>& operator= (const XYZval<T> &rs) { set(NUM_AXIS_ELEM(rs)); return *this; }
// Override other operators to get intuitive behaviors
FI XYZEval<T> operator+ (const XYval<T> &rs) const { XYZEval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYZEval<T> operator+ (const XYval<T> &rs) { XYZEval<T> ls = *this; ls.x += rs.x; ls.y += rs.y; return ls; }
FI XYZEval<T> operator- (const XYval<T> &rs) const { XYZEval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYZEval<T> operator- (const XYval<T> &rs) { XYZEval<T> ls = *this; ls.x -= rs.x; ls.y -= rs.y; return ls; }
FI XYZEval<T> operator* (const XYval<T> &rs) const { XYZEval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYZEval<T> operator* (const XYval<T> &rs) { XYZEval<T> ls = *this; ls.x *= rs.x; ls.y *= rs.y; return ls; }
FI XYZEval<T> operator/ (const XYval<T> &rs) const { XYZEval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYZEval<T> operator/ (const XYval<T> &rs) { XYZEval<T> ls = *this; ls.x /= rs.x; ls.y /= rs.y; return ls; }
FI XYZEval<T> operator+ (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZEval<T> operator+ (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZEval<T> operator- (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZEval<T> operator- (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZEval<T> operator* (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZEval<T> operator* (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZEval<T> operator/ (const XYZval<T> &rs) const { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZEval<T> operator/ (const XYZval<T> &rs) { XYZval<T> ls = *this; NUM_AXIS_CODE(ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZEval<T> operator+ (const XYZEval<T> &rs) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e += rs.e, ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZEval<T> operator+ (const XYZEval<T> &rs) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e += rs.e, ls.x += rs.x, ls.y += rs.y, ls.z += rs.z, ls.i += rs.i, ls.j += rs.j, ls.k += rs.k, ls.u += rs.u, ls.v += rs.v, ls.w += rs.w); return ls; }
FI XYZEval<T> operator- (const XYZEval<T> &rs) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e -= rs.e, ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZEval<T> operator- (const XYZEval<T> &rs) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e -= rs.e, ls.x -= rs.x, ls.y -= rs.y, ls.z -= rs.z, ls.i -= rs.i, ls.j -= rs.j, ls.k -= rs.k, ls.u -= rs.u, ls.v -= rs.v, ls.w -= rs.w); return ls; }
FI XYZEval<T> operator* (const XYZEval<T> &rs) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= rs.e, ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZEval<T> operator* (const XYZEval<T> &rs) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= rs.e, ls.x *= rs.x, ls.y *= rs.y, ls.z *= rs.z, ls.i *= rs.i, ls.j *= rs.j, ls.k *= rs.k, ls.u *= rs.u, ls.v *= rs.v, ls.w *= rs.w); return ls; }
FI XYZEval<T> operator/ (const XYZEval<T> &rs) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= rs.e, ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZEval<T> operator/ (const XYZEval<T> &rs) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= rs.e, ls.x /= rs.x, ls.y /= rs.y, ls.z /= rs.z, ls.i /= rs.i, ls.j /= rs.j, ls.k /= rs.k, ls.u /= rs.u, ls.v /= rs.v, ls.w /= rs.w); return ls; }
FI XYZEval<T> operator* (const float &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= v, ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZEval<T> operator* (const float &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= v, ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZEval<T> operator* (const int &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= v, ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZEval<T> operator* (const int &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e *= v, ls.x *= v, ls.y *= v, ls.z *= v, ls.i *= v, ls.j *= v, ls.k *= v, ls.u *= v, ls.v *= v, ls.w *= v ); return ls; }
FI XYZEval<T> operator/ (const float &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= v, ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZEval<T> operator/ (const float &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= v, ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZEval<T> operator/ (const int &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= v, ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZEval<T> operator/ (const int &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(ls.e /= v, ls.x /= v, ls.y /= v, ls.z /= v, ls.i /= v, ls.j /= v, ls.k /= v, ls.u /= v, ls.v /= v, ls.w /= v ); return ls; }
FI XYZEval<T> operator>>(const int &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(_RS(ls.e), _RS(ls.x), _RS(ls.y), _RS(ls.z), _RS(ls.i), _RS(ls.j), _RS(ls.k), _RS(ls.u), _RS(ls.v), _RS(ls.w) ); return ls; }
FI XYZEval<T> operator>>(const int &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(_RS(ls.e), _RS(ls.x), _RS(ls.y), _RS(ls.z), _RS(ls.i), _RS(ls.j), _RS(ls.k), _RS(ls.u), _RS(ls.v), _RS(ls.w) ); return ls; }
FI XYZEval<T> operator<<(const int &v) const { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(_LS(ls.e), _LS(ls.x), _LS(ls.y), _LS(ls.z), _LS(ls.i), _LS(ls.j), _LS(ls.k), _LS(ls.u), _LS(ls.v), _LS(ls.w) ); return ls; }
FI XYZEval<T> operator<<(const int &v) { XYZEval<T> ls = *this; LOGICAL_AXIS_CODE(_LS(ls.e), _LS(ls.x), _LS(ls.y), _LS(ls.z), _LS(ls.i), _LS(ls.j), _LS(ls.k), _LS(ls.u), _LS(ls.v), _LS(ls.w) ); return ls; }
FI const XYZEval<T> operator-() const { return LOGICAL_AXIS_ARRAY(-e, -x, -y, -z, -i, -j, -k, -u, -v, -w); }
FI XYZEval<T> operator-() { return LOGICAL_AXIS_ARRAY(-e, -x, -y, -z, -i, -j, -k, -u, -v, -w); }
// Modifier operators
FI XYZEval<T>& operator+=(const XYval<T> &rs) { x += rs.x; y += rs.y; return *this; }
FI XYZEval<T>& operator-=(const XYval<T> &rs) { x -= rs.x; y -= rs.y; return *this; }
FI XYZEval<T>& operator*=(const XYval<T> &rs) { x *= rs.x; y *= rs.y; return *this; }
FI XYZEval<T>& operator/=(const XYval<T> &rs) { x /= rs.x; y /= rs.y; return *this; }
FI XYZEval<T>& operator+=(const XYZval<T> &rs) { NUM_AXIS_CODE(x += rs.x, y += rs.y, z += rs.z, i += rs.i, j += rs.j, k += rs.k, u += rs.u, v += rs.v, w += rs.w); return *this; }
FI XYZEval<T>& operator-=(const XYZval<T> &rs) { NUM_AXIS_CODE(x -= rs.x, y -= rs.y, z -= rs.z, i -= rs.i, j -= rs.j, k -= rs.k, u -= rs.u, v -= rs.v, w -= rs.w); return *this; }
FI XYZEval<T>& operator*=(const XYZval<T> &rs) { NUM_AXIS_CODE(x *= rs.x, y *= rs.y, z *= rs.z, i *= rs.i, j *= rs.j, k *= rs.k, u *= rs.u, v *= rs.v, w *= rs.w); return *this; }
FI XYZEval<T>& operator/=(const XYZval<T> &rs) { NUM_AXIS_CODE(x /= rs.x, y /= rs.y, z /= rs.z, i /= rs.i, j /= rs.j, k /= rs.k, u /= rs.u, v /= rs.v, w /= rs.w); return *this; }
FI XYZEval<T>& operator+=(const XYZEval<T> &rs) { LOGICAL_AXIS_CODE(e += rs.e, x += rs.x, y += rs.y, z += rs.z, i += rs.i, j += rs.j, k += rs.k, u += rs.u, v += rs.v, w += rs.w); return *this; }
FI XYZEval<T>& operator-=(const XYZEval<T> &rs) { LOGICAL_AXIS_CODE(e -= rs.e, x -= rs.x, y -= rs.y, z -= rs.z, i -= rs.i, j -= rs.j, k -= rs.k, u -= rs.u, v -= rs.v, w -= rs.w); return *this; }
FI XYZEval<T>& operator*=(const XYZEval<T> &rs) { LOGICAL_AXIS_CODE(e *= rs.e, x *= rs.x, y *= rs.y, z *= rs.z, i *= rs.i, j *= rs.j, k *= rs.k, u *= rs.u, v *= rs.v, w *= rs.w); return *this; }
FI XYZEval<T>& operator/=(const XYZEval<T> &rs) { LOGICAL_AXIS_CODE(e /= rs.e, x /= rs.x, y /= rs.y, z /= rs.z, i /= rs.i, j /= rs.j, k /= rs.k, u /= rs.u, v /= rs.v, w /= rs.w); return *this; }
FI XYZEval<T>& operator*=(const T &v) { LOGICAL_AXIS_CODE(e *= v, x *= v, y *= v, z *= v, i *= v, j *= v, k *= v, u *= v, v *= v, w *= v); return *this; }
FI XYZEval<T>& operator>>=(const int &v) { LOGICAL_AXIS_CODE(_RS(e), _RS(x), _RS(y), _RS(z), _RS(i), _RS(j), _RS(k), _RS(u), _RS(v), _RS(w)); return *this; }
FI XYZEval<T>& operator<<=(const int &v) { LOGICAL_AXIS_CODE(_LS(e), _LS(x), _LS(y), _LS(z), _LS(i), _LS(j), _LS(k), _LS(u), _LS(v), _LS(w)); return *this; }
// Exact comparisons. For floats a "NEAR" operation may be better.
FI bool operator==(const XYZval<T> &rs) { return true NUM_AXIS_GANG(&& x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator==(const XYZval<T> &rs) const { return true NUM_AXIS_GANG(&& x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator==(const XYZEval<T> &rs) { return true LOGICAL_AXIS_GANG(&& e == rs.e, && x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator==(const XYZEval<T> &rs) const { return true LOGICAL_AXIS_GANG(&& e == rs.e, && x == rs.x, && y == rs.y, && z == rs.z, && i == rs.i, && j == rs.j, && k == rs.k, && u == rs.u, && v == rs.v, && w == rs.w); }
FI bool operator!=(const XYZval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYZval<T> &rs) const { return !operator==(rs); }
FI bool operator!=(const XYZEval<T> &rs) { return !operator==(rs); }
FI bool operator!=(const XYZEval<T> &rs) const { return !operator==(rs); }
};
#undef _RECIP
#undef _ABS
#undef _LS
#undef _RS
#undef FI