// Code generated by protoc-gen-go. DO NOT EDIT.
// source: google/type/quaternion.proto

package quaternion

import (
	fmt "fmt"
	math "math"

	proto "github.com/golang/protobuf/proto"
)

// Reference imports to suppress errors if they are not otherwise used.
var _ = proto.Marshal
var _ = fmt.Errorf
var _ = math.Inf

// This is a compile-time assertion to ensure that this generated file
// is compatible with the proto package it is being compiled against.
// A compilation error at this line likely means your copy of the
// proto package needs to be updated.
const _ = proto.ProtoPackageIsVersion3 // please upgrade the proto package

// A quaternion is defined as the quotient of two directed lines in a
// three-dimensional space or equivalently as the quotient of two Euclidean
// vectors (https://en.wikipedia.org/wiki/Quaternion).
//
// Quaternions are often used in calculations involving three-dimensional
// rotations (https://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation),
// as they provide greater mathematical robustness by avoiding the gimbal lock
// problems that can be encountered when using Euler angles
// (https://en.wikipedia.org/wiki/Gimbal_lock).
//
// Quaternions are generally represented in this form:
//
//     w + xi + yj + zk
//
// where x, y, z, and w are real numbers, and i, j, and k are three imaginary
// numbers.
//
// Our naming choice `(x, y, z, w)` comes from the desire to avoid confusion for
// those interested in the geometric properties of the quaternion in the 3D
// Cartesian space. Other texts often use alternative names or subscripts, such
// as `(a, b, c, d)`, `(1, i, j, k)`, or `(0, 1, 2, 3)`, which are perhaps
// better suited for mathematical interpretations.
//
// To avoid any confusion, as well as to maintain compatibility with a large
// number of software libraries, the quaternions represented using the protocol
// buffer below *must* follow the Hamilton convention, which defines `ij = k`
// (i.e. a right-handed algebra), and therefore:
//
//     i^2 = j^2 = k^2 = ijk = −1
//     ij = −ji = k
//     jk = −kj = i
//     ki = −ik = j
//
// Please DO NOT use this to represent quaternions that follow the JPL
// convention, or any of the other quaternion flavors out there.
//
// Definitions:
//
//   - Quaternion norm (or magnitude): `sqrt(x^2 + y^2 + z^2 + w^2)`.
//   - Unit (or normalized) quaternion: a quaternion whose norm is 1.
//   - Pure quaternion: a quaternion whose scalar component (`w`) is 0.
//   - Rotation quaternion: a unit quaternion used to represent rotation.
//   - Orientation quaternion: a unit quaternion used to represent orientation.
//
// A quaternion can be normalized by dividing it by its norm. The resulting
// quaternion maintains the same direction, but has a norm of 1, i.e. it moves
// on the unit sphere. This is generally necessary for rotation and orientation
// quaternions, to avoid rounding errors:
// https://en.wikipedia.org/wiki/Rotation_formalisms_in_three_dimensions
//
// Note that `(x, y, z, w)` and `(-x, -y, -z, -w)` represent the same rotation,
// but normalization would be even more useful, e.g. for comparison purposes, if
// it would produce a unique representation. It is thus recommended that `w` be
// kept positive, which can be achieved by changing all the signs when `w` is
// negative.
//
type Quaternion struct {
	// The x component.
	X float64 `protobuf:"fixed64,1,opt,name=x,proto3" json:"x,omitempty"`
	// The y component.
	Y float64 `protobuf:"fixed64,2,opt,name=y,proto3" json:"y,omitempty"`
	// The z component.
	Z float64 `protobuf:"fixed64,3,opt,name=z,proto3" json:"z,omitempty"`
	// The scalar component.
	W                    float64  `protobuf:"fixed64,4,opt,name=w,proto3" json:"w,omitempty"`
	XXX_NoUnkeyedLiteral struct{} `json:"-"`
	XXX_unrecognized     []byte   `json:"-"`
	XXX_sizecache        int32    `json:"-"`
}

func (m *Quaternion) Reset()         { *m = Quaternion{} }
func (m *Quaternion) String() string { return proto.CompactTextString(m) }
func (*Quaternion) ProtoMessage()    {}
func (*Quaternion) Descriptor() ([]byte, []int) {
	return fileDescriptor_6b847e1bdd83ff5e, []int{0}
}

func (m *Quaternion) XXX_Unmarshal(b []byte) error {
	return xxx_messageInfo_Quaternion.Unmarshal(m, b)
}
func (m *Quaternion) XXX_Marshal(b []byte, deterministic bool) ([]byte, error) {
	return xxx_messageInfo_Quaternion.Marshal(b, m, deterministic)
}
func (m *Quaternion) XXX_Merge(src proto.Message) {
	xxx_messageInfo_Quaternion.Merge(m, src)
}
func (m *Quaternion) XXX_Size() int {
	return xxx_messageInfo_Quaternion.Size(m)
}
func (m *Quaternion) XXX_DiscardUnknown() {
	xxx_messageInfo_Quaternion.DiscardUnknown(m)
}

var xxx_messageInfo_Quaternion proto.InternalMessageInfo

func (m *Quaternion) GetX() float64 {
	if m != nil {
		return m.X
	}
	return 0
}

func (m *Quaternion) GetY() float64 {
	if m != nil {
		return m.Y
	}
	return 0
}

func (m *Quaternion) GetZ() float64 {
	if m != nil {
		return m.Z
	}
	return 0
}

func (m *Quaternion) GetW() float64 {
	if m != nil {
		return m.W
	}
	return 0
}

func init() {
	proto.RegisterType((*Quaternion)(nil), "google.type.Quaternion")
}

func init() {
	proto.RegisterFile("google/type/quaternion.proto", fileDescriptor_6b847e1bdd83ff5e)
}

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