// ------------------------------------------------------------------------------------------------ #include "Base/Quaternion.hpp" #include "Base/Vector3.hpp" #include "Base/Vector4.hpp" #include "Base/Shared.hpp" #include "Base/DynArg.hpp" #include "Library/Numeric/Random.hpp" // ------------------------------------------------------------------------------------------------ #include // ------------------------------------------------------------------------------------------------ namespace SqMod { // ------------------------------------------------------------------------------------------------ #define STOVAL(v) static_cast< Quaternion::Value >(v) // ------------------------------------------------------------------------------------------------ const Quaternion Quaternion::NIL(0); const Quaternion Quaternion::MIN(std::numeric_limits< Quaternion::Value >::min()); const Quaternion Quaternion::MAX(std::numeric_limits< Quaternion::Value >::max()); const Quaternion Quaternion::IDENTITY(1.0, 0.0, 0.0, 0.0); // ------------------------------------------------------------------------------------------------ SQChar Quaternion::Delim = ','; // ------------------------------------------------------------------------------------------------ SQInteger Quaternion::Typename(HSQUIRRELVM vm) { static const SQChar name[] = _SC("Quaternion"); sq_pushstring(vm, name, sizeof(name)); return 1; } // ------------------------------------------------------------------------------------------------ Quaternion::Quaternion() : x(0.0), y(0.0), z(0.0), w(0.0) { /* ... */ } // ------------------------------------------------------------------------------------------------ Quaternion::Quaternion(Value sv) : x(sv), y(sv), z(sv), w(sv) { /* ... */ } // ------------------------------------------------------------------------------------------------ Quaternion::Quaternion(Value xv, Value yv, Value zv) : x(xv), y(yv), z(zv), w(0.0) { /* ... */ } // ------------------------------------------------------------------------------------------------ Quaternion::Quaternion(Value xv, Value yv, Value zv, Value wv) : x(xv), y(yv), z(zv), w(wv) { /* ... */ } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator = (Value s) { x = s; y = s; z = s; w = s; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator = (const Vector3 & q) { x = q.x; y = q.y; z = q.z; w = 0.0; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator = (const Vector4 & q) { x = q.x; y = q.y; z = q.z; w = q.w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator += (const Quaternion & q) { x += q.x; y += q.y; z += q.z; w += q.w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator -= (const Quaternion & q) { x -= q.x; y -= q.y; z -= q.z; w -= q.w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator *= (const Quaternion & q) { x *= q.x; y *= q.y; z *= q.z; w *= q.w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator /= (const Quaternion & q) { x /= q.x; y /= q.y; z /= q.z; w /= q.w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator %= (const Quaternion & q) { x = std::fmod(x, q.x); y = std::fmod(y, q.y); z = std::fmod(z, q.z); w = std::fmod(w, q.w); return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator += (Value s) { x += s; y += s; z += s; w += s; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator -= (Value s) { x -= s; y -= s; z -= s; w -= s; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator *= (Value s) { x *= s; y *= s; z *= s; w *= s; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator /= (Value s) { x /= s; y /= s; z /= s; w /= s; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator %= (Value s) { x = std::fmod(x, s); y = std::fmod(y, s); z = std::fmod(z, s); w = std::fmod(w, s); return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator ++ () { ++x; ++y; ++z; ++w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion & Quaternion::operator -- () { --x; --y; --z; --w; return *this; } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator ++ (int) { Quaternion state(*this); ++x; ++y; ++z; ++w; return state; } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator -- (int) { Quaternion state(*this); --x; --y; --z; --w; return state; } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator + (const Quaternion & q) const { return Quaternion(x + q.x, y + q.y, z + q.z, w + q.w); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator + (Value s) const { return Quaternion(x + s, y + s, z + s, w + s); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator - (const Quaternion & q) const { return Quaternion(x - q.x, y - q.y, z - q.z, w - q.w); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator - (Value s) const { return Quaternion(x - s, y - s, z - s, w - s); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator * (const Quaternion & q) const { return Quaternion(x * q.x, y * q.y, z * q.z, w * q.w); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator * (Value s) const { return Quaternion(x * s, y * s, z * s, w * s); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator / (const Quaternion & q) const { return Quaternion(x / q.x, y / q.y, z / q.z, w / q.w); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator / (Value s) const { return Quaternion(x / s, y / s, z / s, w / s); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator % (const Quaternion & q) const { return Quaternion(std::fmod(x, q.x), std::fmod(y, q.y), std::fmod(z, q.z), std::fmod(w, q.w)); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator % (Value s) const { return Quaternion(std::fmod(x, s), std::fmod(y, s), std::fmod(z, s), std::fmod(w, s)); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator + () const { return Quaternion(std::fabs(x), std::fabs(y), std::fabs(z), std::fabs(w)); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::operator - () const { return Quaternion(-x, -y, -z, -w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator == (const Quaternion & q) const { return EpsEq(x, q.x) && EpsEq(y, q.y) && EpsEq(z, q.z) && EpsEq(w, q.w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator != (const Quaternion & q) const { return !EpsEq(x, q.x) || !EpsEq(y, q.y) || !EpsEq(z, q.z) || !EpsEq(w, q.w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator < (const Quaternion & q) const { return EpsLt(x, q.x) && EpsLt(y, q.y) && EpsLt(z, q.z) && EpsLt(w, q.w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator > (const Quaternion & q) const { return EpsGt(x, q.x) && EpsGt(y, q.y) && EpsGt(z, q.z) && EpsGt(w, q.w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator <= (const Quaternion & q) const { return EpsLtEq(x, q.x) && EpsLtEq(y, q.y) && EpsLtEq(z, q.z) && EpsLtEq(w, q.w); } // ------------------------------------------------------------------------------------------------ bool Quaternion::operator >= (const Quaternion & q) const { return EpsGtEq(x, q.x) && EpsGtEq(y, q.y) && EpsGtEq(z, q.z) && EpsGtEq(w, q.w); } // ------------------------------------------------------------------------------------------------ Int32 Quaternion::Cmp(const Quaternion & o) const { if (*this == o) { return 0; } else if (*this > o) { return 1; } else { return -1; } } // ------------------------------------------------------------------------------------------------ CSStr Quaternion::ToString() const { return ToStrF("%f,%f,%f,%f", x, y, z, w); } // ------------------------------------------------------------------------------------------------ void Quaternion::SetScalar(Value ns) { x = ns; y = ns; z = ns; w = ns; } // ------------------------------------------------------------------------------------------------ void Quaternion::SetQuaternion(const Quaternion & q) { x = q.x; y = q.y; z = q.z; w = q.w; } // ------------------------------------------------------------------------------------------------ void Quaternion::SetQuaternionEx(Value nx, Value ny, Value nz, Value nw) { x = nx; y = ny; z = nz; w = nw; } // ------------------------------------------------------------------------------------------------ void Quaternion::SetVector3(const Vector3 & v) { SetVector3Ex(v.x, v.y, v.z); } // ------------------------------------------------------------------------------------------------ void Quaternion::SetVector3Ex(Value nx, Value ny, Value nz) { Float64 angle; angle = (nx * 0.5); const Float64 sr = std::sin(angle); const Float64 cr = std::cos(angle); angle = (ny * 0.5); const Float64 sp = std::sin(angle); const Float64 cp = std::cos(angle); angle = (nz * 0.5); const Float64 sy = std::sin(angle); const Float64 cy = std::cos(angle); const Float64 cpcy = (cp * cy); const Float64 spcy = (sp * cy); const Float64 cpsy = (cp * sy); const Float64 spsy = (sp * sy); x = STOVAL(sr * cpcy - cr * spsy); y = STOVAL(cr * spcy + sr * cpsy); z = STOVAL(cr * cpsy - sr * spcy); w = STOVAL(cr * cpcy + sr * spsy); Normalize(); } // ------------------------------------------------------------------------------------------------ void Quaternion::SetVector4(const Vector4 & v) { x = v.x; y = v.y; z = v.z; w = v.w; } // ------------------------------------------------------------------------------------------------ void Quaternion::SetStr(CSStr values, SQChar delim) { SetQuaternion(Quaternion::Get(values, delim)); } // ------------------------------------------------------------------------------------------------ void Quaternion::Generate() { x = GetRandomFloat32(); y = GetRandomFloat32(); z = GetRandomFloat32(); w = GetRandomFloat32(); } // ------------------------------------------------------------------------------------------------ void Quaternion::Generate(Value min, Value max) { if (EpsLt(max, min)) { STHROWF("max value is lower than min value"); } x = GetRandomFloat32(min, max); y = GetRandomFloat32(min, max); z = GetRandomFloat32(min, max); y = GetRandomFloat32(min, max); } // ------------------------------------------------------------------------------------------------ void Quaternion::Generate(Value xmin, Value xmax, Value ymin, Value ymax, Value zmin, Value zmax, Value wmin, Value wmax) { if (EpsLt(xmax, xmin) || EpsLt(ymax, ymin) || EpsLt(zmax, zmin) || EpsLt(wmax, wmin)) { STHROWF("max value is lower than min value"); } x = GetRandomFloat32(xmin, xmax); y = GetRandomFloat32(ymin, ymax); z = GetRandomFloat32(zmin, zmax); y = GetRandomFloat32(ymin, ymax); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Abs() const { return Quaternion(std::fabs(x), std::fabs(y), std::fabs(z), std::fabs(w)); } // ------------------------------------------------------------------------------------------------ bool Quaternion::IsNaN() const { return std::isnan(w) || std::isnan(x) || std::isnan(y) || std::isnan(z); } // ------------------------------------------------------------------------------------------------ Quaternion::Quaternion::Value Quaternion::LengthSquared() const { return (x * x) + (y * y) + (z * z) + (w * w); } // ------------------------------------------------------------------------------------------------ Quaternion::Value Quaternion::DotProduct(const Quaternion & quat) const { return (x * quat.x) + (y * quat.y) + (z * quat.z) + (w * quat.w); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Conjugate() const { return Quaternion(-x, -y, -z, w);; } // ------------------------------------------------------------------------------------------------ void Quaternion::Normalize() { const Value len_squared = LengthSquared(); if (!EpsEq(len_squared, STOVAL(1.0)) && EpsGt(len_squared, STOVAL(0.0))) { const Value inv_len = STOVAL(1.0) / std::sqrt(len_squared); x *= inv_len; y *= inv_len; z *= inv_len; w *= inv_len; } } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Normalized() const { const Value len_squared = LengthSquared(); if (!EpsEq(len_squared, STOVAL(1.0)) && EpsGt(len_squared, STOVAL(0.0))) { Value inv_len = 1.0f / sqrtf(len_squared); return ((*this) * inv_len); } else { return (*this); } } // ------------------------------------------------------------------------------------------------ void Quaternion::FromAngleAxis(Value angle, const Vector3 & axis) { const Vector3 norm_axis = axis.Normalized(); angle *= SQMOD_DEGTORAD_2; const Value sin_angle = std::sin(angle); x = norm_axis.x * sin_angle; y = norm_axis.y * sin_angle; z = norm_axis.z * sin_angle; w = std::cos(angle); } // ------------------------------------------------------------------------------------------------ void Quaternion::FromRotationTo(const Vector3 & start, const Vector3 & end) { const Vector3 norm_start = start.Normalized(); const Vector3 norm_end = end.Normalized(); const Value d = norm_start.DotProduct(norm_end); if (EpsGt(d, STOVAL(-1.0))) { const Vector3 c = norm_start.CrossProduct(norm_end); const Value s = std::sqrt((STOVAL(1.0) + d) * STOVAL(2.0)); const Value inv_s = STOVAL(1.0) / s; x = c.x * inv_s; y = c.y * inv_s; z = c.z * inv_s; w = STOVAL(0.5) * s; } else { Vector3 axis = Vector3::RIGHT.CrossProduct(norm_start); if (EpsLt(axis.GetLength(), STOVAL(0.0))) { FromAngleAxis(STOVAL(180), Vector3::UP.CrossProduct(norm_start)); } else { FromAngleAxis(STOVAL(180), axis); } } } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Inverse() const { const Value len_squared = LengthSquared(); if (EpsEq(len_squared, STOVAL(1.0))) { return Conjugate(); } else if (EpsGtEq(len_squared, STOVAL(0.0))) { return Conjugate() * (STOVAL(1.0) / len_squared); } else { return IDENTITY; } } // ------------------------------------------------------------------------------------------------ Vector3 Quaternion::ToEuler() const { const Float64 sqw = (w * w); const Float64 sqx = (x * x); const Float64 sqy = (y * y); const Float64 sqz = (z * z); const Float64 test = 2.0 * ((y * w) - (x * z)); if (EpsEq(test, 1.0)) { return Vector3( // bank = rotation about x-axis STOVAL(0.0), // attitude = rotation about y-axis STOVAL(SQMOD_PI64 / 2.0), // heading = rotation about z-axis STOVAL(-2.0 * std::atan2(x, w)) ); } else if (EpsEq(test, -1.0)) { return Vector3( // bank = rotation about x-axis STOVAL(0.0), // attitude = rotation about y-axis STOVAL(SQMOD_PI64 / -2.0), // heading = rotation about z-axis STOVAL(2.0 * std::atan2(x, w)) ); } return Vector3( // bank = rotation about x-axis STOVAL(std::atan2(2.0 * ((y * z) + (x * w)), (-sqx - sqy + sqz + sqw))), // attitude = rotation about y-axis STOVAL(std::asin(Clamp(test, -1.0, 1.0))), // heading = rotation about z-axis STOVAL(std::atan2(2.0 * ((x * y) + (z * w)), (sqx - sqy - sqz + sqw))) ); } // ------------------------------------------------------------------------------------------------ Quaternion::Value Quaternion::YawAngle() const { return ToEuler().y; } // ------------------------------------------------------------------------------------------------ Quaternion::Value Quaternion::PitchAngle() const { return ToEuler().x; } // ------------------------------------------------------------------------------------------------ Quaternion::Value Quaternion::RollAngle() const { return ToEuler().z; } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Slerp(Quaternion quat, Value t) const { // Favor accuracy for native code builds Value cos_angle = DotProduct(quat); // Enable shortest path rotation if (EpsLt(cos_angle, STOVAL(0.0))) { cos_angle = -cos_angle; quat = -quat; } const Value angle = std::acos(cos_angle); Value sin_angle = std::sin(angle); Value t1, t2; if (sin_angle > STOVAL(0.001)) { Value inv_sin_angle = STOVAL(1.0) / sin_angle; t1 = std::sin((STOVAL(1.0) - t) * angle) * inv_sin_angle; t2 = std::sin(t * angle) * inv_sin_angle; } else { t1 = STOVAL(1.0) - t; t2 = t; } return ((*this) * t1 + quat * t2); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::Nlerp(const Quaternion & quat, Value t) const { return NlerpEx(quat, t, false); } // ------------------------------------------------------------------------------------------------ Quaternion Quaternion::NlerpEx(const Quaternion & quat, Value t, bool shortest_path) const { Quaternion result; const Value fcos = DotProduct(quat); if (EpsLt(fcos, STOVAL(0.0)) && shortest_path) { result = (*this) + (((-quat) - (*this)) * t); } else { result = (*this) + ((quat - (*this)) * t); } result.Normalize(); return result; } // ------------------------------------------------------------------------------------------------ const Quaternion & Quaternion::Get(CSStr str) { return Quaternion::Get(str, Quaternion::Delim); } // ------------------------------------------------------------------------------------------------ const Quaternion & Quaternion::Get(CSStr str, SQChar delim) { // The format specifications that will be used to scan the string static SQChar fs[] = _SC(" %f , %f , %f , %f "); static Quaternion quat; // Clear previous values, if any quat.Clear(); // Is the specified string empty? if (!str || *str == '\0') { return quat; // Return the value as is! } // Assign the specified delimiter fs[4] = delim; fs[9] = delim; fs[14] = delim; // Attempt to extract the component values from the specified string std::sscanf(str, fs, &quat.x, &quat.y, &quat.z, &quat.w); // Return the resulted value return quat; } // ------------------------------------------------------------------------------------------------ const Quaternion & GetQuaternion() { static Quaternion quat; quat.Clear(); return quat; } // ------------------------------------------------------------------------------------------------ const Quaternion & GetQuaternion(Float32 sv) { static Quaternion quat; quat.SetScalar(sv); return quat; } // ------------------------------------------------------------------------------------------------ const Quaternion & GetQuaternion(Float32 xv, Float32 yv, Float32 zv) { static Quaternion quat; quat.SetVector3Ex(xv, yv, zv); return quat; } // ------------------------------------------------------------------------------------------------ const Quaternion & GetQuaternion(Float32 xv, Float32 yv, Float32 zv, Float32 wv) { static Quaternion quat; quat.SetQuaternionEx(xv, yv, zv, wv); return quat; } // ------------------------------------------------------------------------------------------------ const Quaternion & GetQuaternion(const Quaternion & o) { static Quaternion quat; quat.SetQuaternion(o); return quat; } // ================================================================================================ void Register_Quaternion(HSQUIRRELVM vm) { typedef Quaternion::Value Val; RootTable(vm).Bind(_SC("Quaternion"), Class< Quaternion >(vm, _SC("Quaternion")) // Constructors .Ctor() .Ctor< Val >() .Ctor< Val, Val, Val >() .Ctor< Val, Val, Val, Val >() // Member Variables .Var(_SC("x"), &Quaternion::x) .Var(_SC("y"), &Quaternion::y) .Var(_SC("z"), &Quaternion::z) .Var(_SC("w"), &Quaternion::w) .Var(_SC("X"), &Quaternion::x) .Var(_SC("Y"), &Quaternion::y) .Var(_SC("Z"), &Quaternion::z) .Var(_SC("W"), &Quaternion::w) // Core Meta-methods .Func(_SC("_tostring"), &Quaternion::ToString) .SquirrelFunc(_SC("_typename"), &Quaternion::Typename) .SquirrelFunc(_SC("cmp"), &SqDynArgFwd< SqDynArgCmpFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) // Meta-methods .SquirrelFunc(_SC("_add"), &SqDynArgFwd< SqDynArgAddFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) .SquirrelFunc(_SC("_sub"), &SqDynArgFwd< SqDynArgSubFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) .SquirrelFunc(_SC("_mul"), &SqDynArgFwd< SqDynArgMulFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) .SquirrelFunc(_SC("_div"), &SqDynArgFwd< SqDynArgDivFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) .SquirrelFunc(_SC("_modulo"), &SqDynArgFwd< SqDynArgModFn< Quaternion >, SQFloat, SQInteger, bool, std::nullptr_t, Quaternion >) .Func< Quaternion (Quaternion::*)(void) const >(_SC("_unm"), &Quaternion::operator -) // Properties .Prop(_SC("Abs"), &Quaternion::Abs) .Prop(_SC("NaN"), &Quaternion::IsNaN) .Prop(_SC("LengthSq"), &Quaternion::LengthSquared) .Prop(_SC("Conjugate"), &Quaternion::Conjugate) .Prop(_SC("Normalized"), &Quaternion::Normalized) .Prop(_SC("Inverse"), &Quaternion::Inverse) .Prop(_SC("Euler"), &Quaternion::ToEuler, &Quaternion::SetVector3) .Prop(_SC("YawAngle"), &Quaternion::YawAngle) .Prop(_SC("PitchAngle"), &Quaternion::PitchAngle) .Prop(_SC("RollAngle"), &Quaternion::RollAngle) // Member Methods .Func(_SC("SetScalar"), &Quaternion::SetScalar) .Func(_SC("SetQuaternion"), &Quaternion::SetQuaternion) .Func(_SC("SetQuaternionEx"), &Quaternion::SetQuaternionEx) .Func(_SC("SetVector3"), &Quaternion::SetVector3) .Func(_SC("SetVector3Ex"), &Quaternion::SetVector3Ex) .Func(_SC("SetVector4"), &Quaternion::SetVector4) .Func(_SC("SetStr"), &Quaternion::SetStr) .Func(_SC("Clear"), &Quaternion::Clear) .Func(_SC("DotProduct"), &Quaternion::DotProduct) .Func(_SC("Normalize"), &Quaternion::Normalize) .Func(_SC("FromAngleAxis"), &Quaternion::FromAngleAxis) .Func(_SC("FromRotationTo"), &Quaternion::FromRotationTo) .Func(_SC("Slerp"), &Quaternion::Slerp) .Func(_SC("Nlerp"), &Quaternion::Nlerp) .Func(_SC("NlerpEx"), &Quaternion::NlerpEx) // Member Overloads .Overload< void (Quaternion::*)(void) >(_SC("Generate"), &Quaternion::Generate) .Overload< void (Quaternion::*)(Val, Val) >(_SC("Generate"), &Quaternion::Generate) .Overload< void (Quaternion::*)(Val, Val, Val, Val, Val, Val, Val, Val) >(_SC("Generate"), &Quaternion::Generate) // Static Overloads .StaticOverload< const Quaternion & (*)(CSStr) >(_SC("FromStr"), &Quaternion::Get) .StaticOverload< const Quaternion & (*)(CSStr, SQChar) >(_SC("FromStr"), &Quaternion::Get) // Static Functions .StaticFunc(_SC("GetDelimiter"), &SqGetDelimiter< Quaternion >) .StaticFunc(_SC("SetDelimiter"), &SqSetDelimiter< Quaternion >) // Operator Exposure .Func< Quaternion & (Quaternion::*)(const Quaternion &) >(_SC("opAddAssign"), &Quaternion::operator +=) .Func< Quaternion & (Quaternion::*)(const Quaternion &) >(_SC("opSubAssign"), &Quaternion::operator -=) .Func< Quaternion & (Quaternion::*)(const Quaternion &) >(_SC("opMulAssign"), &Quaternion::operator *=) .Func< Quaternion & (Quaternion::*)(const Quaternion &) >(_SC("opDivAssign"), &Quaternion::operator /=) .Func< Quaternion & (Quaternion::*)(const Quaternion &) >(_SC("opModAssign"), &Quaternion::operator %=) .Func< Quaternion & (Quaternion::*)(Quaternion::Value) >(_SC("opAddAssignS"), &Quaternion::operator +=) .Func< Quaternion & (Quaternion::*)(Quaternion::Value) >(_SC("opSubAssignS"), &Quaternion::operator -=) .Func< Quaternion & (Quaternion::*)(Quaternion::Value) >(_SC("opMulAssignS"), &Quaternion::operator *=) .Func< Quaternion & (Quaternion::*)(Quaternion::Value) >(_SC("opDivAssignS"), &Quaternion::operator /=) .Func< Quaternion & (Quaternion::*)(Quaternion::Value) >(_SC("opModAssignS"), &Quaternion::operator %=) .Func< Quaternion & (Quaternion::*)(void) >(_SC("opPreInc"), &Quaternion::operator ++) .Func< Quaternion & (Quaternion::*)(void) >(_SC("opPreDec"), &Quaternion::operator --) .Func< Quaternion (Quaternion::*)(int) >(_SC("opPostInc"), &Quaternion::operator ++) .Func< Quaternion (Quaternion::*)(int) >(_SC("opPostDec"), &Quaternion::operator --) .Func< Quaternion (Quaternion::*)(const Quaternion &) const >(_SC("opAdd"), &Quaternion::operator +) .Func< Quaternion (Quaternion::*)(const Quaternion &) const >(_SC("opSub"), &Quaternion::operator -) .Func< Quaternion (Quaternion::*)(const Quaternion &) const >(_SC("opMul"), &Quaternion::operator *) .Func< Quaternion (Quaternion::*)(const Quaternion &) const >(_SC("opDiv"), &Quaternion::operator /) .Func< Quaternion (Quaternion::*)(const Quaternion &) const >(_SC("opMod"), &Quaternion::operator %) .Func< Quaternion (Quaternion::*)(Quaternion::Value) const >(_SC("opAddS"), &Quaternion::operator +) .Func< Quaternion (Quaternion::*)(Quaternion::Value) const >(_SC("opSubS"), &Quaternion::operator -) .Func< Quaternion (Quaternion::*)(Quaternion::Value) const >(_SC("opMulS"), &Quaternion::operator *) .Func< Quaternion (Quaternion::*)(Quaternion::Value) const >(_SC("opDivS"), &Quaternion::operator /) .Func< Quaternion (Quaternion::*)(Quaternion::Value) const >(_SC("opModS"), &Quaternion::operator %) .Func< Quaternion (Quaternion::*)(void) const >(_SC("opUnPlus"), &Quaternion::operator +) .Func< Quaternion (Quaternion::*)(void) const >(_SC("opUnMinus"), &Quaternion::operator -) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opEqual"), &Quaternion::operator ==) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opNotEqual"), &Quaternion::operator !=) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opLessThan"), &Quaternion::operator <) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opGreaterThan"), &Quaternion::operator >) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opLessEqual"), &Quaternion::operator <=) .Func< bool (Quaternion::*)(const Quaternion &) const >(_SC("opGreaterEqual"), &Quaternion::operator >=) ); } } // Namespace:: SqMod