// 
// This file defines nearly all constructors and operators for built-in data types, using
// extended language syntax. In general, compiler treats constructors and operators as
// ordinary functions with some exceptions. For example, the language does not allow
// functions to be called in constant expressions - here the exception is made to allow it.
// 
// Each implementation provides its own version of this file. Each implementation can define
// the required set of operators and constructors in its own fashion.
// 
// The extended language syntax is only present when compiling this file. It is implicitly
// included at the very beginning of the compiled shader, so no built-in functions can be
// used.
// 
// To communicate with the implementation, a special extended "__asm" keyword is used, followed
// by an instruction name (any valid identifier), a destination variable identifier and a
// a list of zero or more source variable identifiers. A variable identifier is a variable name
// declared earlier in the code (as a function parameter, local or global variable).
// An instruction name designates an instruction that must be exported by the implementation.
// Each instruction receives data from source variable identifiers and returns data in the
// destination variable identifier.
// 
// It is up to the implementation how to define a particular operator or constructor. If it is
// expected to being used rarely, it can be defined in terms of other operators and constructors,
// for example:
// 
// ivec2 __operator + (const ivec2 x, const ivec2 y) {
//    return ivec2 (x[0] + y[0], x[1] + y[1]);
// }
// 
// If a particular operator or constructor is expected to be used very often or is an atomic
// operation (that is, an operation that cannot be expressed in terms of other operations or
// would create a dependency cycle) it must be defined using one or more __asm constructs.
// 
// Each implementation must define constructors for all scalar types (bool, float, int).
// There are 9 scalar-to-scalar constructors (including identity constructors). However,
// since the language introduces special constructors (like matrix constructor with a single
// scalar value), implementations must also implement these cases.
// The compiler provides the following algorithm when resolving a constructor:
// - try to find a constructor with a prototype matching ours,
// - if no constructor is found and this is a scalar-to-scalar constructor, raise an error,
// - if a constructor is found, execute it and return,
// - count the size of the constructor parameter list - if it is less than the size of
//   our constructor's type, raise an error,
// - for each parameter in the list do a recursive constructor matching for appropriate
//   scalar fields in the constructed variable,
// 
// Each implementation must also define a set of operators that deal with built-in data types.
// There are four kinds of operators:
// 1) Operators that are implemented only by the compiler: "()" (function call), "," (sequence)
//    and "?:" (selection).
// 2) Operators that are implemented by the compiler by expressing it in terms of other operators:
//    - "." (field selection) - translated to subscript access,
//    - "&&" (logical and) - translated to "<left_expr> ? <right_expr> : false",
//    - "||" (logical or) - translated to "<left_expr> ? true : <right_expr>",
// 3) Operators that can be defined by the implementation and if the required prototype is not
//    found, standard behaviour is used:
//    - "==", "!=", "=" (equality, assignment) - compare or assign matching fields one-by-one;
//      note that at least operators for scalar data types must be defined by the implementation
//      to get it work,
// 4) All other operators not mentioned above. If no required prototype is found, an error is
//    raised. An implementation must follow the language specification to provide all valid
//    operator prototypes.
// 

int __constructor (const float _f) {
    int _i;
    __asm float_to_int _i, _f;
    return _i;
}

bool __constructor (const int _i) {
    return _i != 0;
}

bool __constructor (const float _f) {
    return _f != 0.0;
}

int __constructor (const bool _b) {
    return _b ? 1 : 0;
}

float __constructor (const bool _b) {
    return _b ? 1.0 : 0.0;
}

float __constructor (const int _i) {
    float _f;
    __asm int_to_float _f, _i;
    return _f;
}

bool __constructor (const bool _b) {
    return _b;
}

int __constructor (const int _i) {
    return _i;
}

float __constructor (const float _f) {
    return _f;
}

vec2 __constructor (const float _f) {
    return vec2 (_f, _f);
}

vec2 __constructor (const int _i) {
    return vec2 (_i, _i);
}

vec2 __constructor (const bool _b) {
    return vec2 (_b, _b);
}

vec3 __constructor (const float _f) {
    return vec3 (_f, _f, _f);
}

vec3 __constructor (const int _i) {
    return vec3 (_i, _i, _i);
}

vec3 __constructor (const bool _b) {
    return vec3 (_b, _b, _b);
}

vec4 __constructor (const float _f) {
    return vec4 (_f, _f, _f, _f);
}

vec4 __constructor (const int _i) {
    return vec4 (_i, _i, _i, _i);
}

vec4 __constructor (const bool _b) {
    return vec4 (_b, _b, _b, _b);
}

ivec2 __constructor (const int _i) {
    return ivec2 (_i, _i);
}

ivec2 __constructor (const float _f) {
    return ivec2 (_f, _f);
}

ivec2 __constructor (const bool _b) {
    return ivec2 (_b, _b);
}

ivec3 __constructor (const int _i) {
    return ivec3 (_i, _i, _i);
}

ivec3 __constructor (const float _f) {
    return ivec3 (_f, _f, _f);
}

ivec3 __constructor (const bool _b) {
    return ivec3 (_b, _b, _b);
}

ivec4 __constructor (const int _i) {
    return ivec4 (_i, _i, _i, _i);
}

ivec4 __constructor (const float _f) {
    return ivec4 (_f, _f, _f, _f);
}

ivec4 __constructor (const bool _b) {
    return ivec4 (_b, _b, _b, _b);
}

bvec2 __constructor (const bool _b) {
    return bvec2 (_b, _b);
}

bvec2 __constructor (const float _f) {
    return bvec2 (_f, _f);
}

bvec2 __constructor (const int _i) {
    return bvec2 (_i, _i);
}

bvec3 __constructor (const bool _b) {
    return bvec3 (_b, _b, _b);
}

bvec3 __constructor (const float _f) {
    return bvec3 (_f, _f, _f);
}

bvec3 __constructor (const int _i) {
    return bvec3 (_i, _i, _i);
}

bvec4 __constructor (const bool _b) {
    return bvec4 (_b, _b, _b, _b);
}

bvec4 __constructor (const float _f) {
    return bvec4 (_f, _f, _f, _f);
}

bvec4 __constructor (const int _i) {
    return bvec4 (_i, _i, _i, _i);
}

mat2 __constructor (const float _f) {
    return mat2 (
        _f, .0,
        .0, _f
    );
}

mat2 __constructor (const int _i) {
    return mat2 (
        _i, .0,
        .0, _i
    );
}

mat2 __constructor (const bool _b) {
    return mat2 (
        _b, .0,
        .0, _b
    );
}

mat3 __constructor (const float _f) {
    return mat3 (
        _f, .0, .0,
        .0, _f, .0,
        .0, .0, _f
    );
}

mat3 __constructor (const int _i) {
    return mat3 (
        _i, .0, .0,
        .0, _i, .0,
        .0, .0, _i
    );
}

mat3 __constructor (const bool _b) {
    return mat3 (
        _b, .0, .0,
        .0, _b, .0,
        .0, .0, _b
    );
}

mat4 __constructor (const float _f) {
    return mat4 (
        _f, .0, .0, .0,
        .0, _f, .0, .0,
        .0, .0, _f, .0,
        .0, .0, .0, _f
    );
}

mat4 __constructor (const int _i) {
    return mat4 (
        _i, .0, .0, .0,
        .0, _i, .0, .0,
        .0, .0, _i, .0,
        .0, .0, .0, _i
    );
}

mat4 __constructor (const bool _b) {
    return mat4 (
        _b, .0, .0, .0,
        .0, _b, .0, .0,
        .0, .0, _b, .0,
        .0, .0, .0, _b
    );
}

//void __operator = (out float a, const float b) {
//    __asm float_copy a, b;
//}
//
//void __operator = (out int a, const int b) {
//    __asm int_copy a, b;
//}
//
//void __operator = (out bool a, const bool b) {
//    __asm bool_copy a, b;
//}
//
//void __operator = (out vec2 v, const vec2 u) {
//    v.x = u.x, v.y = u.y;
//}
//
//void __operator = (out vec3 v, const vec3 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z;
//}
//
//void __operator = (out vec4 v, const vec4 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z, v.w = u.w;
//}
//
//void __operator = (out ivec2 v, const ivec2 u) {
//    v.x = u.x, v.y = u.y;
//}
//
//void __operator = (out ivec3 v, const ivec3 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z;
//}
//
//void __operator = (out ivec4 v, const ivec4 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z, v.w = u.w;
//}
//
//void __operator = (out bvec2 v, const bvec2 u) {
//    v.x = u.x, v.y = u.y;
//}
//
//void __operator = (out bvec3 v, const bvec3 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z;
//}
//
//void __operator = (out bvec4 v, const bvec4 u) {
//    v.x = u.x, v.y = u.y, v.z = u.z, v.w = u.w;
//}
//
//void __operator = (out mat2 m, const mat2 n) {
//    m[0] = n[0], m[1] = n[1];
//}
//
//void __operator = (out mat3 m, const mat3 n) {
//    m[0] = n[0], m[1] = n[1], m[2] = n[2];
//}
//
//void __operator = (out mat4 m, const mat4 n) {
//    m[0] = n[0], m[1] = n[1], m[2] = n[2], m[3] = n[3];
//}

void __operator += (inout float a, const float b) {
    __asm float_add a, a, b;
}

float __operator - (const float a) {
    float c;
    __asm float_negate c, a;
    return c;
}

void __operator -= (inout float a, const float b) {
    a += -b;
}

void __operator *= (inout float a, const float b) {
    __asm float_multiply a, a, b;
}

void __operator /= (inout float a, const float b) {
    __asm float_divide a, a, b;
}

float __operator + (const float a, const float b) {
    float c;
    c = a;
    return c += b;
}

void __operator += (inout int a, const int b) {
    a = int (float (a) + float (b));
}

int __operator - (const int a) {
	return int (-float (a));
}

void __operator -= (inout int a, const int b) {
    a += -b;
}

float __operator * (const float a, const float b) {
    float c;
    c = a;
    return c *= b;
}

void __operator *= (inout int a, const int b) {
    a = int (float (a) * float (b));
}

float __operator / (const float a, const float b) {
    float c;
    c = a;
    return c /= b;
}

void __operator /= (inout int a, const int b) {
    a = int (float (a) / float (b));
}

void __operator += (inout vec2 v, const vec2 u) {
    v.x += u.x, v.y += u.y;
}

void __operator -= (inout vec2 v, const vec2 u) {
    v.x -= u.x, v.y -= u.y;
}

void __operator *= (inout vec2 v, const vec2 u) {
    v.x *= u.x, v.y *= u.y;
}

void __operator /= (inout vec2 v, const vec2 u) {
    v.x /= u.x, v.y /= u.y;
}

void __operator += (inout vec3 v, const vec3 u) {
    v.x += u.x, v.y += u.y, v.z += u.z;
}

void __operator -= (inout vec3 v, const vec3 u) {
    v.x -= u.x, v.y -= u.y, v.z -= u.z;
}

void __operator *= (inout vec3 v, const vec3 u) {
    v.x *= u.x, v.y *= u.y, v.z *= u.z;
}

void __operator /= (inout vec3 v, const vec3 u) {
    v.x /= u.x, v.y /= u.y, v.z /= u.z;
}

void __operator += (inout vec4 v, const vec4 u) {
    v.x += u.x, v.y += u.y, v.z += u.z, v.w += u.w;
}

void __operator -= (inout vec4 v, const vec4 u) {
    v.x -= u.x, v.y -= u.y, v.z -= u.z, v.w -= u.w;
}

void __operator *= (inout vec4 v, const vec4 u) {
    v.x *= u.x, v.y *= u.y, v.z *= u.z, v.w *= u.w;
}

void __operator /= (inout vec4 v, const vec4 u) {
    v.x /= u.x, v.y /= u.y, v.z /= u.z, v.w /= u.w;
}

void __operator += (inout ivec2 v, const ivec2 u) {
    v.x += u.x, v.y += u.y;
}

void __operator -= (inout ivec2 v, const ivec2 u) {
    v.x -= u.x, v.y -= u.y;
}

void __operator *= (inout ivec2 v, const ivec2 u) {
    v.x *= u.x, v.y *= u.y;
}

void __operator /= (inout ivec2 v, const ivec2 u) {
    v.x /= u.x, v.y /= u.y;
}

void __operator += (inout ivec3 v, const ivec3 u) {
    v.x += u.x, v.y += u.y, v.z += u.z;
}

void __operator -= (inout ivec3 v, const ivec3 u) {
    v.x -= u.x, v.y -= u.y, v.z -= u.z;
}

void __operator *= (inout ivec3 v, const ivec3 u) {
    v.x *= u.x, v.y *= u.y, v.z *= u.z;
}

void __operator /= (inout ivec3 v, const ivec3 u) {
    v.x /= u.x, v.y /= u.y, v.z /= u.z;
}

void __operator += (inout ivec4 v, const ivec4 u) {
    v.x += u.x, v.y += u.y, v.z += u.z, v.w += u.w;
}

void __operator -= (inout ivec4 v, const ivec4 u) {
    v.x -= u.x, v.y -= u.y, v.z -= u.z, v.w -= u.w;
}

void __operator *= (inout ivec4 v, const ivec4 u) {
    v.x *= u.x, v.y *= u.y, v.z *= u.z, v.w *= u.w;
}

void __operator /= (inout ivec4 v, const ivec4 u) {
    v.x /= u.x, v.y /= u.y, v.z /= u.z, v.w /= u.w;
}

void __operator += (inout mat2 m, const mat2 n) {
    m[0] += n[0], m[1] += n[1];
}

void __operator -= (inout mat2 m, const mat2 n) {
    m[0] -= n[0], m[1] -= n[1];
}

vec2 __operator * (const mat2 m, const vec2 v) {
    return vec2 (
        v.x * m[0].x + v.y * m[1].x,
        v.x * m[0].y + v.y * m[1].y
    );
}

mat2 __operator * (const mat2 m, const mat2 n) {
    return mat2 (m * n[0], m * n[1]);
}

void __operator *= (inout mat2 m, const mat2 n) {
    m = m * n;
}

void __operator /= (inout mat2 m, const mat2 n) {
    m[0] /= n[0], m[1] /= n[1];
}

void __operator += (inout mat3 m, const mat3 n) {
    m[0] += n[0], m[1] += n[1], m[2] += n[2];
}

void __operator -= (inout mat3 m, const mat3 n) {
    m[0] -= n[0], m[1] -= n[1], m[2] -= n[2];
}

vec3 __operator * (const mat3 m, const vec3 v) {
    return vec3 (
        v.x * m[0].x + v.y * m[1].x + v.z * m[2].x,
        v.x * m[0].y + v.y * m[1].y + v.z * m[2].y,
        v.x * m[0].z + v.y * m[1].z + v.z * m[2].z
    );
}

mat3 __operator * (const mat3 m, const mat3 n) {
    return mat3 (m * n[0], m * n[1], m * n[2]);
}

void __operator *= (inout mat3 m, const mat3 n) {
    m = m * n;
}

void __operator /= (inout mat3 m, const mat3 n) {
    m[0] /= n[0], m[1] /= n[1], m[2] /= n[2];
}

void __operator += (inout mat4 m, const mat4 n) {
    m[0] += n[0], m[1] += n[1], m[2] += n[2], m[3] += n[3];
}

void __operator -= (inout mat4 m, const mat4 n) {
    m[0] -= n[0], m[1] -= n[1], m[2] -= n[2], m[3] -= n[3];
}

vec4 __operator * (const mat4 m, const vec4 v) {
    return vec4 (
        v.x * m[0].x + v.y * m[1].x + v.z * m[2].x + v.w * m[3].x,
        v.x * m[0].y + v.y * m[1].y + v.z * m[2].y + v.w * m[3].y,
        v.x * m[0].z + v.y * m[1].z + v.z * m[2].z + v.w * m[3].z,
        v.x * m[0].w + v.y * m[1].w + v.z * m[2].w + v.w * m[3].w
    );
}

mat4 __operator * (const mat4 m, const mat4 n) {
    return mat4 (m * n[0], m * n[1], m * n[2], m * n[3]);
}

void __operator *= (inout mat4 m, const mat4 n) {
    m = m * n;
}

void __operator /= (inout mat4 m, const mat4 n) {
    m[0] /= n[0], m[1] /= n[1], m[2] /= n[2], m[3] /= n[3];
}

void __operator += (inout vec2 v, const float a) {
    v.x += a, v.y += a;
}

void __operator -= (inout vec2 v, const float a) {
    v.x -= a, v.y -= a;
}

void __operator *= (inout vec2 v, const float a) {
    v.x *= a, v.y *= a;
}

void __operator /= (inout vec2 v, const float a) {
    v.x /= a, v.y /= a;
}

void __operator += (inout vec3 v, const float a) {
    v.x += a, v.y += a, v.z += a;
}

void __operator -= (inout vec3 v, const float a) {
    v.x -= a, v.y -= a, v.z -= a;
}

void __operator *= (inout vec3 v, const float a) {
    v.x *= a, v.y *= a, v.z *= a;
}

void __operator /= (inout vec3 v, const float a) {
    v.x /= a, v.y /= a, v.z /= a;
}

void __operator += (inout vec4 v, const float a) {
    v.x += a, v.y += a, v.z += a, v.w += a;
}

void __operator -= (inout vec4 v, const float a) {
    v.x -= a, v.y -= a, v.z -= a, v.w -= a;
}

void __operator *= (inout vec4 v, const float a) {
    v.x *= a, v.y *= a, v.z *= a, v.w *= a;
}

void __operator /= (inout vec4 v, const float a) {
    v.x /= a, v.y /= a, v.z /= a, v.w /= a;
}

void __operator += (inout mat2 m, const float a) {
    m[0] += a, m[1] += a;
}

void __operator -= (inout mat2 m, const float a) {
    m[0] -= a, m[1] -= a;
}

void __operator *= (inout mat2 m, const float a) {
    m[0] *= a, m[1] *= a;
}

void __operator /= (inout mat2 m, const float a) {
    m[0] /= a, m[1] /= a;
}

void __operator += (inout mat3 m, const float a) {
    m[0] += a, m[1] += a, m[2] += a;
}

void __operator -= (inout mat3 m, const float a) {
    m[0] -= a, m[1] -= a, m[2] -= a;
}

void __operator *= (inout mat3 m, const float a) {
    m[0] *= a, m[1] *= a, m[2] *= a;
}

void __operator /= (inout mat3 m, const float a) {
    m[0] /= a, m[1] /= a, m[2] /= a;
}

void __operator += (inout mat4 m, const float a) {
    m[0] += a, m[1] += a, m[2] += a, m[3] += a;
}

void __operator -= (inout mat4 m, const float a) {
    m[0] -= a, m[1] -= a, m[2] -= a, m[3] -= a;
}

void __operator *= (inout mat4 m, const float a) {
    m[0] *= a, m[1] *= a, m[2] *= a, m[3] *= a;
}

void __operator /= (inout mat4 m, const float a) {
    m[0] /= a, m[1] /= a, m[2] /= a, m[3] /= a;
}

vec2 __operator * (const vec2 v, const mat2 m) {
    return vec2 (
        v.x * m[0].x + v.y * m[0].y,
        v.x * m[1].x + v.y * m[1].y
    );
}

void __operator *= (inout vec2 v, const mat2 m) {
    v = v * m;
}

vec3 __operator * (const vec3 v, const mat3 m) {
    return vec3 (
        v.x * m[0].x + v.y * m[0].y + v.z * m[0].z,
        v.x * m[1].x + v.y * m[1].y + v.z * m[1].z,
        v.x * m[2].x + v.y * m[2].y + v.z * m[2].z
    );
}

void __operator *= (inout vec3 v, const mat3 m) {
    v = v * m;
}

vec4 __operator * (const vec4 v, const mat4 m) {
    return vec4 (
        v.x * m[0].x + v.y * m[0].y + v.z * m[0].z + v.w * m[0].w,
        v.x * m[1].x + v.y * m[1].y + v.z * m[1].z + v.w * m[1].w,
        v.x * m[2].x + v.y * m[2].y + v.z * m[2].z + v.w * m[2].w,
        v.x * m[3].x + v.y * m[3].y + v.z * m[3].z + v.w * m[3].w
    );
}

void __operator *= (inout vec4 v, const mat4 m) {
    v = v * m;
}

float __operator - (const float a, const float b) {
    return a + -b;
}

int __operator + (const int a, const int b) {
    int c;
    c = a;
    return c += b;
}

int __operator - (const int a, const int b) {
    return a + -b;
}

int __operator * (const int a, const int b) {
    int c;
    return (c = a) *= b;
}

int __operator / (const int a, const int b) {
    int c;
    return (c = a) /= b;
}

vec2 __operator + (const vec2 v, const vec2 u) {
    return vec2 (v.x + u.x, v.y + u.y);
}

vec2 __operator - (const vec2 v, const vec2 u) {
    return vec2 (v.x - u.x, v.y - u.y);
}

vec3 __operator + (const vec3 v, const vec3 u) {
    return vec3 (v.x + u.x, v.y + u.y, v.z + u.z);
}

vec3 __operator - (const vec3 v, const vec3 u) {
    return vec3 (v.x - u.x, v.y - u.y, v.z - u.z);
}

vec4 __operator + (const vec4 v, const vec4 u) {
    return vec4 (v.x + u.x, v.y + u.y, v.z + u.z, v.w + u.w);
}

vec4 __operator - (const vec4 v, const vec4 u) {
    return vec4 (v.x - u.x, v.y - u.y, v.z - u.z, v.w - u.w);
}

ivec2 __operator + (const ivec2 v, const ivec2 u) {
    return ivec2 (v.x + u.x, v.y + u.y);
}

ivec2 __operator - (const ivec2 v, const ivec2 u) {
    return ivec2 (v.x - u.x, v.y - u.y);
}

ivec3 __operator + (const ivec3 v, const ivec3 u) {
    return ivec3 (v.x + u.x, v.y + u.y, v.z + u.z);
}

ivec3 __operator - (const ivec3 v, const ivec3 u) {
    return ivec3 (v.x - u.x, v.y - u.y, v.z - u.z);
}

ivec4 __operator + (const ivec4 v, const ivec4 u) {
    return ivec4 (v.x + u.x, v.y + u.y, v.z + u.z, v.w + u.w);
}

ivec4 __operator - (const ivec4 v, const ivec4 u) {
    return ivec4 (v.x - u.x, v.y - u.y, v.z - u.z, v.w - u.w);
}

mat2 __operator + (const mat2 m, const mat2 n) {
    return mat2 (m[0] + n[0], m[1] + n[1]);
}

mat2 __operator - (const mat2 m, const mat2 n) {
    return mat2 (m[0] - n[0], m[1] - n[1]);
}

mat3 __operator + (const mat3 m, const mat3 n) {
    return mat3 (m[0] + n[0], m[1] + n[1], m[2] + n[2]);
}

mat3 __operator - (const mat3 m, const mat3 n) {
    return mat3 (m[0] - n[0], m[1] - n[1], m[2] - n[2]);
}

mat4 __operator + (const mat4 m, const mat4 n) {
    return mat4 (m[0] + n[0], m[1] + n[1], m[2] + n[2], m[3] + n[3]);
}

mat4 __operator - (const mat4 m, const mat4 n) {
    return mat4 (m[0] - n[0], m[1] - n[1], m[2] - n[2], m[3] - n[3]);
}

vec2 __operator + (const float a, const vec2 u) {
    return vec2 (a + u.x, a + u.y);
}

vec2 __operator + (const vec2 v, const float b) {
    return vec2 (v.x + b, v.y + b);
}

vec2 __operator - (const float a, const vec2 u) {
    return vec2 (a - u.x, a - u.y);
}

vec2 __operator - (const vec2 v, const float b) {
    return vec2 (v.x - b, v.y - b);
}

vec2 __operator * (const float a, const vec2 u) {
    return vec2 (a * u.x, a * u.y);
}

vec2 __operator * (const vec2 v, const float b) {
    return vec2 (v.x * b, v.y * b);
}

vec2 __operator / (const float a, const vec2 u) {
    return vec2 (a / u.x, a / u.y);
}

vec2 __operator / (const vec2 v, const float b) {
    return vec2 (v.x / b, v.y / b);
}

vec3 __operator + (const float a, const vec3 u) {
    return vec3 (a + u.x, a + u.y, a + u.z);
}

vec3 __operator + (const vec3 v, const float b) {
    return vec3 (v.x + b, v.y + b, v.z + b);
}

vec3 __operator - (const float a, const vec3 u) {
    return vec3 (a - u.x, a - u.y, a - u.z);
}

vec3 __operator - (const vec3 v, const float b) {
    return vec3 (v.x - b, v.y - b, v.z - b);
}

vec3 __operator * (const float a, const vec3 u) {
    return vec3 (a * u.x, a * u.y, a * u.z);
}

vec3 __operator * (const vec3 v, const float b) {
    return vec3 (v.x * b, v.y * b, v.z * b);
}

vec3 __operator / (const float a, const vec3 u) {
    return vec3 (a / u.x, a / u.y, a / u.z);
}

vec3 __operator / (const vec3 v, const float b) {
    return vec3 (v.x / b, v.y / b, v.z / b);
}

vec4 __operator + (const float a, const vec4 u) {
    return vec4 (a + u.x, a + u.y, a + u.z, a + u.w);
}

vec4 __operator + (const vec4 v, const float b) {
    return vec4 (v.x + b, v.y + b, v.z + b, v.w + b);
}

vec4 __operator - (const float a, const vec4 u) {
    return vec4 (a - u.x, a - u.y, a - u.z, a - u.w);
}

vec4 __operator - (const vec4 v, const float b) {
    return vec4 (v.x - b, v.y - b, v.z - b, v.w - b);
}

vec4 __operator * (const float a, const vec4 u) {
    return vec4 (a * u.x, a * u.y, a * u.z, a * u.w);
}

vec4 __operator * (const vec4 v, const float b) {
    return vec4 (v.x * b, v.y * b, v.z * b, v.w * b);
}

vec4 __operator / (const float a, const vec4 u) {
    return vec4 (a / u.x, a / u.y, a / u.z, a / u.w);
}

vec4 __operator / (const vec4 v, const float b) {
    return vec4 (v.x / b, v.y / b, v.z / b, v.w / b);
}

mat2 __operator + (const float a, const mat2 n) {
    return mat2 (a + n[0], a + n[1]);
}

mat2 __operator + (const mat2 m, const float b) {
    return mat2 (m[0] + b, m[1] + b);
}

mat2 __operator - (const float a, const mat2 n) {
    return mat2 (a - n[0], a - n[1]);
}

mat2 __operator - (const mat2 m, const float b) {
    return mat2 (m[0] - b, m[1] - b);
}

mat2 __operator * (const float a, const mat2 n) {
    return mat2 (a * n[0], a * n[1]);
}

mat2 __operator * (const mat2 m, const float b) {
    return mat2 (m[0] * b, m[1] * b);
}

mat2 __operator / (const float a, const mat2 n) {
    return mat2 (a / n[0], a / n[1]);
}

mat2 __operator / (const mat2 m, const float b) {
    return mat2 (m[0] / b, m[1] / b);
}

mat3 __operator + (const float a, const mat3 n) {
    return mat3 (a + n[0], a + n[1], a + n[2]);
}

mat3 __operator + (const mat3 m, const float b) {
    return mat3 (m[0] + b, m[1] + b, m[2] + b);
}

mat3 __operator - (const float a, const mat3 n) {
    return mat3 (a - n[0], a - n[1], a - n[2]);
}

mat3 __operator - (const mat3 m, const float b) {
    return mat3 (m[0] - b, m[1] - b, m[2] - b);
}

mat3 __operator * (const float a, const mat3 n) {
    return mat3 (a * n[0], a * n[1], a * n[2]);
}

mat3 __operator * (const mat3 m, const float b) {
    return mat3 (m[0] * b, m[1] * b, m[2] * b);
}

mat3 __operator / (const float a, const mat3 n) {
    return mat3 (a / n[0], a / n[1], a / n[2]);
}

mat3 __operator / (const mat3 m, const float b) {
    return mat3 (m[0] / b, m[1] / b, m[2] / b);
}

mat4 __operator + (const float a, const mat4 n) {
    return mat4 (a + n[0], a + n[1], a + n[2], a + n[3]);
}

mat4 __operator + (const mat4 m, const float b) {
    return mat4 (m[0] + b, m[1] + b, m[2] + b, m[3] + b);
}

mat4 __operator - (const float a, const mat4 n) {
    return mat4 (a - n[0], a - n[1], a - n[2], a - n[3]);
}

mat4 __operator - (const mat4 m, const float b) {
    return mat4 (m[0] - b, m[1] - b, m[2] - b, m[3] - b);
}

mat4 __operator * (const float a, const mat4 n) {
    return mat4 (a * n[0], a * n[1], a * n[2], a * n[3]);
}

mat4 __operator * (const mat4 m, const float b) {
    return mat4 (m[0] * b, m[1] * b, m[2] * b, m[3] * b);
}

mat4 __operator / (const float a, const mat4 n) {
    return mat4 (a / n[0], a / n[1], a / n[2], a / n[3]);
}

mat4 __operator / (const mat4 m, const float b) {
    return mat4 (m[0] / b, m[1] / b, m[2] / b, m[3] / b);
}

ivec2 __operator + (const int a, const ivec2 u) {
    return ivec2 (a + u.x, a + u.y);
}

ivec2 __operator + (const ivec2 v, const int b) {
    return ivec2 (v.x + b, v.y + b);
}

ivec2 __operator - (const int a, const ivec2 u) {
    return ivec2 (a - u.x, a - u.y);
}

ivec2 __operator - (const ivec2 v, const int b) {
    return ivec2 (v.x - b, v.y - b);
}

ivec2 __operator * (const int a, const ivec2 u) {
    return ivec2 (a * u.x, a * u.y);
}

ivec2 __operator * (const ivec2 v, const int b) {
    return ivec2 (v.x * b, v.y * b);
}

ivec2 __operator / (const int a, const ivec2 u) {
    return ivec2 (a / u.x, a / u.y);
}

ivec2 __operator / (const ivec2 v, const int b) {
    return ivec2 (v.x / b, v.y / b);
}

ivec3 __operator + (const int a, const ivec3 u) {
    return ivec3 (a + u.x, a + u.y, a + u.z);
}

ivec3 __operator + (const ivec3 v, const int b) {
    return ivec3 (v.x + b, v.y + b, v.z + b);
}

ivec3 __operator - (const int a, const ivec3 u) {
    return ivec3 (a - u.x, a - u.y, a - u.z);
}

ivec3 __operator - (const ivec3 v, const int b) {
    return ivec3 (v.x - b, v.y - b, v.z - b);
}

ivec3 __operator * (const int a, const ivec3 u) {
    return ivec3 (a * u.x, a * u.y, a * u.z);
}

ivec3 __operator * (const ivec3 v, const int b) {
    return ivec3 (v.x * b, v.y * b, v.z * b);
}

ivec3 __operator / (const int a, const ivec3 u) {
    return ivec3 (a / u.x, a / u.y, a / u.z);
}

ivec3 __operator / (const ivec3 v, const int b) {
    return ivec3 (v.x / b, v.y / b, v.z / b);
}

ivec4 __operator + (const int a, const ivec4 u) {
    return ivec4 (a + u.x, a + u.y, a + u.z, a + u.w);
}

ivec4 __operator + (const ivec4 v, const int b) {
    return ivec4 (v.x + b, v.y + b, v.z + b, v.w + b);
}

ivec4 __operator - (const int a, const ivec4 u) {
    return ivec4 (a - u.x, a - u.y, a - u.z, a - u.w);
}

ivec4 __operator - (const ivec4 v, const int b) {
    return ivec4 (v.x - b, v.y - b, v.z - b, v.w - b);
}

ivec4 __operator * (const int a, const ivec4 u) {
    return ivec4 (a * u.x, a * u.y, a * u.z, a * u.w);
}

ivec4 __operator * (const ivec4 v, const int b) {
    return ivec4 (v.x * b, v.y * b, v.z * b, v.w * b);
}

ivec4 __operator / (const int a, const ivec4 u) {
    return ivec4 (a / u.x, a / u.y, a / u.z, a / u.w);
}

ivec4 __operator / (const ivec4 v, const int b) {
    return ivec4 (v.x / b, v.y / b, v.z / b, v.w / b);
}

vec2 __operator * (const vec2 v, const vec2 u) {
    return vec2 (v.x * u.x, v.y * u.y);
}

vec3 __operator * (const vec3 v, const vec3 u) {
    return vec3 (v.x * u.x, v.y * u.y, v.z * u.z);
}

vec4 __operator * (const vec4 v, const vec4 u) {
    return vec4 (v.x * u.x, v.y * u.y, v.z * u.z, v.w * u.w);
}

ivec2 __operator * (const ivec2 v, const ivec2 u) {
    return ivec2 (v.x * u.x, v.y * u.y);
}

ivec3 __operator * (const ivec3 v, const ivec3 u) {
    return ivec3 (v.x * u.x, v.y * u.y, v.z * u.z);
}

ivec4 __operator * (const ivec4 v, const ivec4 u) {
    return ivec4 (v.x * u.x, v.y * u.y, v.z * u.z, v.w * u.w);
}

vec2 __operator / (const vec2 v, const vec2 u) {
    return vec2 (v.x / u.x, v.y / u.y);
}

vec3 __operator / (const vec3 v, const vec3 u) {
    return vec3 (v.x / u.x, v.y / u.y, v.z / u.z);
}

vec4 __operator / (const vec4 v, const vec4 u) {
    return vec4 (v.x / u.x, v.y / u.y, v.z / u.z, v.w / u.w);
}

ivec2 __operator / (const ivec2 v, const ivec2 u) {
    return ivec2 (v.x / u.x, v.y / u.y);
}

ivec3 __operator / (const ivec3 v, const ivec3 u) {
    return ivec3 (v.x / u.x, v.y / u.y, v.z / u.z);
}

ivec4 __operator / (const ivec4 v, const ivec4 u) {
    return ivec4 (v.x / u.x, v.y / u.y, v.z / u.z, v.w / u.w);
}

mat2 __operator / (const mat2 m, const mat2 n) {
    return mat2 (m[0] / n[0], m[1] / n[1]);
}

mat3 __operator / (const mat3 m, const mat3 n) {
    return mat3 (m[0] / n[0], m[1] / n[1], m[2] / n[2]);
}

mat4 __operator / (const mat4 m, const mat4 n) {
    return mat4 (m[0] / n[0], m[1] / n[1], m[2] / n[2], m[3] / n[3]);
}

vec2 __operator - (const vec2 v) {
    return vec2 (-v.x, -v.y);
}

vec3 __operator - (const vec3 v) {
    return vec3 (-v.x, -v.y, -v.z);
}

vec4 __operator - (const vec4 v) {
    return vec4 (-v.x, -v.y, -v.z, -v.w);
}

ivec2 __operator - (const ivec2 v) {
    return ivec2 (-v.x, -v.y);
}

ivec3 __operator - (const ivec3 v) {
    return ivec3 (-v.x, -v.y, -v.z);
}

ivec4 __operator - (const ivec4 v) {
    return ivec4 (-v.x, -v.y, -v.z, -v.w);
}

mat2 __operator - (const mat2 m) {
    return mat2 (-m[0], -m[1]);
}

mat3 __operator - (const mat3 m) {
    return mat3 (-m[0], -m[1], -m[2]);
}

mat4 __operator - (const mat4 m) {
    return mat4 (-m[0], -m[1], -m[2], -m[3]);
}

// 
// NOTE: postfix increment and decrement operators take additional dummy int parameter to
//       distinguish their prototypes from prefix ones.
// 

void __operator -- (inout float a) {
    a -= 1.0;
}

void __operator -- (inout int a) {
    a -= 1;
}

void __operator -- (inout vec2 v) {
    --v.x, --v.y;
}

void __operator -- (inout vec3 v) {
    --v.x, --v.y, --v.z;
}

void __operator -- (inout vec4 v) {
    --v.x, --v.y, --v.z, --v.w;
}

void __operator -- (inout ivec2 v) {
    --v.x, --v.y;
}

void __operator -- (inout ivec3 v) {
    --v.x, --v.y, --v.z;
}

void __operator -- (inout ivec4 v) {
    --v.x, --v.y, --v.z, --v.w;
}

void __operator -- (inout mat2 m) {
    --m[0], --m[1];
}

void __operator -- (inout mat3 m) {
    --m[0], --m[1], --m[2];
}

void __operator -- (inout mat4 m) {
    --m[0], --m[1], --m[2], --m[3];
}

void __operator ++ (inout float a) {
    a += 1.0;
}

void __operator ++ (inout int a) {
    a += 1;
}

void __operator ++ (inout vec2 v) {
    ++v.x, ++v.y;
}

void __operator ++ (inout vec3 v) {
    ++v.x, ++v.y, ++v.z;
}

void __operator ++ (inout vec4 v) {
    ++v.x, ++v.y, ++v.z, ++v.w;
}

void __operator ++ (inout ivec2 v) {
    ++v.x, ++v.y;
}

void __operator ++ (inout ivec3 v) {
    ++v.x, ++v.y, ++v.z;
}

void __operator ++ (inout ivec4 v) {
    ++v.x, ++v.y, ++v.z, ++v.w;
}

void __operator ++ (inout mat2 m) {
    ++m[0], ++m[1];
}

void __operator ++ (inout mat3 m) {
    ++m[0], ++m[1], ++m[2];
}

void __operator ++ (inout mat4 m) {
    ++m[0], ++m[1], ++m[2], ++m[3];
}

float __operator -- (inout float a, const int) {
    float c;
    c = a;
    --a;
    return c;
}

int __operator -- (inout int a, const int) {
    int c;
    c = a;
    --a;
    return c;
}

vec2 __operator -- (inout vec2 v, const int) {
    return vec2 (v.x--, v.y--);
}

vec3 __operator -- (inout vec3 v, const int) {
    return vec3 (v.x--, v.y--, v.z--);
}

vec4 __operator -- (inout vec4 v, const int) {
    return vec4 (v.x--, v.y--, v.z--, v.w--);
}

ivec2 __operator -- (inout ivec2 v, const int) {
    return ivec2 (v.x--, v.y--);
}

ivec3 __operator -- (inout ivec3 v, const int) {
    return ivec3 (v.x--, v.y--, v.z--);
}

ivec4 __operator -- (inout ivec4 v, const int) {
    return ivec4 (v.x--, v.y--, v.z--, v.w--);
}

mat2 __operator -- (inout mat2 m, const int) {
    return mat2 (m[0]--, m[1]--);
}

mat3 __operator -- (inout mat3 m, const int) {
    return mat3 (m[0]--, m[1]--, m[2]--);
}

mat4 __operator -- (inout mat4 m, const int) {
    return mat4 (m[0]--, m[1]--, m[2]--, m[3]--);
}

float __operator ++ (inout float a, const int) {
    float c;
    c = a;
    ++a;
    return c;
}

int __operator ++ (inout int a, const int) {
    int c;
    c = a;
    ++a;
    return c;
}

vec2 __operator ++ (inout vec2 v, const int) {
    return vec2 (v.x++, v.y++);
}

vec3 __operator ++ (inout vec3 v, const int) {
    return vec3 (v.x++, v.y++, v.z++);
}

vec4 __operator ++ (inout vec4 v, const int) {
    return vec4 (v.x++, v.y++, v.z++, v.w++);
}

ivec2 __operator ++ (inout ivec2 v, const int) {
    return ivec2 (v.x++, v.y++);
}

ivec3 __operator ++ (inout ivec3 v, const int) {
    return ivec3 (v.x++, v.y++, v.z++);
}

ivec4 __operator ++ (inout ivec4 v, const int) {
    return ivec4 (v.x++, v.y++, v.z++, v.w++);
}

mat2 __operator ++ (inout mat2 m, const int) {
    return mat2 (m[0]++, m[1]++);
}

mat3 __operator ++ (inout mat3 m, const int) {
    return mat3 (m[0]++, m[1]++, m[2]++);
}

mat4 __operator ++ (inout mat4 m, const int) {
    return mat4 (m[0]++, m[1]++, m[2]++, m[3]++);
}

bool __operator < (const float a, const float b) {
    bool c;
    __asm float_less c, a, b;
    return c;
}

bool __operator < (const int a, const int b) {
	return float (a) < float (b);
}

bool __operator > (const float a, const float b) {
    return b < a;
}

bool __operator > (const int a, const int b) {
    return b < a;
}

bool __operator >= (const float a, const float b) {
    return a > b || a == b;
}

bool __operator >= (const int a, const int b) {
    return a > b || a == b;
}

bool __operator <= (const float a, const float b) {
    return a < b || a == b;
}

bool __operator <= (const int a, const int b) {
    return a < b || a == b;
}

//bool __operator == (const float a, const float b) {
//    bool c;
//    __asm float_equal c, a, b;
//    return c;
//}
//
//bool __operator == (const int a, const int b) {
//	return float (a) == float (b);
//}
//
//bool __operator == (const bool a, const bool b) {
//    return float (a) == float (b);
//}
//
//bool __operator == (const vec2 v, const vec2 u) {
//    return v.x == u.x && v.y == u.y;
//}
//
//bool __operator == (const vec3 v, const vec3 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z;
//}
//
//bool __operator == (const vec4 v, const vec4 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z && v.w == u.w;
//}
//
//bool __operator == (const ivec2 v, const ivec2 u) {
//    return v.x == u.x && v.y == u.y;
//}
//
//bool __operator == (const ivec3 v, const ivec3 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z;
//}
//
//bool __operator == (const ivec4 v, const ivec4 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z && v.w == u.w;
//}
//
//bool __operator == (const bvec2 v, const bvec2 u) {
//    return v.x == u.x && v.y == u.y;
//}
//
//bool __operator == (const bvec3 v, const bvec3 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z;
//}
//
//bool __operator == (const bvec4 v, const bvec4 u) {
//    return v.x == u.x && v.y == u.y && v.z == u.z && v.w == u.w;
//}
//
//bool __operator == (const mat2 m, const mat2 n) {
//    return m[0] == n[0] && m[1] == n[1];
//}
//
//bool __operator == (const mat3 m, const mat3 n) {
//    return m[0] == n[0] && m[1] == n[1] && m[2] == n[2];
//}
//
//bool __operator == (const mat4 m, const mat4 n) {
//    return m[0] == n[0] && m[1] == n[1] && m[2] == n[2] && m[3] == n[3];
//}
//
//bool __operator != (const float a, const float b) {
//    return !(a == b);
//}
//
//bool __operator != (const int a, const int b) {
//    return !(a == b);
//}
//
//bool __operator != (const bool a, const bool b) {
//    return !(a == b);
//}
//
//bool __operator != (const vec2 v, const vec2 u) {
//    return v.x != u.x || v.y != u.y;
//}
//
//bool __operator != (const vec3 v, const vec3 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z;
//}
//
//bool __operator != (const vec4 v, const vec4 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z || v.w != u.w;
//}
//
//bool __operator != (const ivec2 v, const ivec2 u) {
//    return v.x != u.x || v.y != u.y;
//}
//
//bool __operator != (const ivec3 v, const ivec3 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z;
//}
//
//bool __operator != (const ivec4 v, const ivec4 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z || v.w != u.w;
//}
//
//bool __operator != (const bvec2 v, const bvec2 u) {
//    return v.x != u.x || v.y != u.y;
//}
//
//bool __operator != (const bvec3 v, const bvec3 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z;
//}
//
//bool __operator != (const bvec4 v, const bvec4 u) {
//    return v.x != u.x || v.y != u.y || v.z != u.z || v.w != u.w;
//}
//
//bool __operator != (const mat2 m, const mat2 n) {
//    return m[0] != n[0] || m[1] != n[1];
//}
//
//bool __operator != (const mat3 m, const mat3 n) {
//    return m[0] != n[0] || m[1] != n[1] || m[2] != n[2];
//}
//
//bool __operator != (const mat4 m, const mat4 n) {
//    return m[0] != n[0] || m[1] != n[1] || m[2] != n[2] || m[3] != n[3];
//}

bool __operator ^^ (const bool a, const bool b) {
    return a != b;
}

// 
// These operators are handled internally by the compiler:
// 
// bool __operator && (bool a, bool b) {
//     return a ? b : false;
// }
// bool __operator || (bool a, bool b) {
//     return a ? true : b;
// }
// 

bool __operator ! (const bool a) {
    return a == false;
}