Self-define float4 vector

The float4 structure encapsulates 4 float values and can be used to represent a 4-element vector or a row of a 4-column matrix:

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structfloat4 {  float4() {};  float4(floats) : x(s), y(s), z(s), w(s) {}  float4(floatx,floaty,floatz,floatw) : x(x), y(y), z(z), w(w) {}  floatx, y, z, w;    inlinefloat4 operator*(floats)const{returnfloat4(x*s, y*s, z*s, w*s); }  inlinefloat4 operator+(constfloat4& a) const{returnfloat4(x+a.x, y+a.y, z+a.z, w+a.w); } };   // dot product of two float4 vectors inlinefloatdot(constfloat4& a, constfloat4& b) {  returna.x * b.x + a.y * b.y + a.z * b.z + a.w * b.w; }

Similar to the float4 datatype, we define another common type: float3. It can be used, for example, for representing 3D vectors.

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structfloat3 {  float3() {};  float3(floats) : x(s), y(s), z(s) {}  float3(floatx,floaty,floatz) : x(x), y(y), z(z) {}  floatx, y, z;    inlinefloat3 operator*(floats)const{returnfloat3(x*s, y*s, z*s); }  inlinefloat3 operator+(constfloat3& a) const{returnfloat3(x+a.x, y+a.y, z+a.z); } };   // dot product of two float3 vectors inlinefloatdot(constfloat3& a, constfloat3& b) {  returna.x * b.x + a.y * b.y + a.z * b.z; }

The float2 datatype contains 2 float elements:

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structfloat3 {  float2() {};  float2(floats) : x(s), y(s) {}  float2(floatx,floaty) : x(x), y(y) {}  floatx, y; };