Diff: Vec4.h

Revision:

0:785cff1e5a7c

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/Vec4.h	Mon Jan 04 15:19:10 2016 +0000
@@ -0,0 +1,386 @@
+/*
+    File:           Vec4.h
+
+    Function:       Defines a length-4 vector.
+
+    Author(s):      Andrew Willmott
+
+    Copyright:      (c) 1995-2001, Andrew Willmott
+ */
+
+#ifndef __Vec4__
+#define __Vec4__
+
+#include "Vec3.h"
+
+
+// --- Vec4 Class -------------------------------------------------------------
+
+class Vec4
+{
+public:
+
+    // Constructors
+
+                Vec4();
+                Vec4(Real x, Real y, Real z, Real w);   // [x, y, z, w]
+                Vec4(const Vec4 &v);                    // Copy constructor
+                Vec4(const Vec3 &v, Real w);            // Hom. 3D vector
+                Vec4(ZeroOrOne k);
+                Vec4(Axis k);
+
+    // Accessor functions
+
+    Int         Elts() const { return(4); };
+
+    Real        &operator [] (Int i);
+    const Real  &operator [] (Int i) const;
+
+    Real        *Ref() const;                   // Return pointer to data
+
+    // Assignment operators
+
+    Vec4        &operator =  (const Vec4 &a);
+    Vec4        &operator =  (ZeroOrOne k);
+    Vec4        &operator =  (Axis k);
+    Vec4        &operator += (const Vec4 &a);
+    Vec4        &operator -= (const Vec4 &a);
+    Vec4        &operator *= (const Vec4 &a);
+    Vec4        &operator *= (Real s);
+    Vec4        &operator /= (const Vec4 &a);
+    Vec4        &operator /= (Real s);
+
+    // Comparison operators
+
+    Bool        operator == (const Vec4 &a) const;  // v == a ?
+    Bool        operator != (const Vec4 &a) const;  // v != a ?
+
+    // Arithmetic operators
+
+    Vec4        operator + (const Vec4 &a) const;   // v + a
+    Vec4        operator - (const Vec4 &a) const;   // v - a
+    Vec4        operator - () const;                // -v
+    Vec4        operator * (const Vec4 &a) const;   // v * a (vx * ax, ...)
+    Vec4        operator * (Real s) const;          // v * s
+    Vec4        operator / (const Vec4 &a) const;   // v / a (vx / ax, ...)
+    Vec4        operator / (Real s) const;          // v / s
+
+
+    // Initialisers
+
+    Vec4        &MakeZero();                        // Zero vector
+    Vec4        &MakeUnit(Int i, Real k = vl_one);  // kI[i]
+    Vec4        &MakeBlock(Real k = vl_one);        // All-k vector
+
+    Vec4        &Normalise();                       // normalise vector
+
+    // Private...
+
+protected:
+
+    Real        elt[4];
+};
+
+
+// --- Vec operators ----------------------------------------------------------
+
+inline Vec4     operator * (Real s, const Vec4 &v); // Left mult. by s
+inline Real     dot(const Vec4 &a, const Vec4 &b);  // v . a
+inline Real     len(const Vec4 &v);                 // || v ||
+inline Real     sqrlen(const Vec4 &v);              // v . v
+inline Vec4     norm(const Vec4 &v);                // v / || v ||
+inline Void     normalise(Vec4 &v);                 // v = norm(v)
+Vec4            cross(const Vec4 &a, const Vec4 &b, const Vec4 &c);
+                                                    // 4D cross prod.
+Vec3            proj(const Vec4 &v);                // hom. projection
+
+//std::ostream &operator << (std::ostream &s, const Vec4 &v);
+//std::istream &operator >> (std::istream &s, Vec4 &v);
+
+inline void printVec4(const Vec4 &v);
+
+
+// --- Inlines ----------------------------------------------------------------
+
+inline Real &Vec4::operator [] (Int i)
+{
+    CheckRange(i, 0, 4, "(Vec4::[i]) index out of range");
+    return(elt[i]);
+}
+
+inline const Real &Vec4::operator [] (Int i) const
+{
+    CheckRange(i, 0, 4, "(Vec4::[i]) index out of range");
+    return(elt[i]);
+}
+
+
+inline Vec4::Vec4()
+{
+}
+
+inline Vec4::Vec4(Real x, Real y, Real z, Real w)
+{
+    elt[0] = x;
+    elt[1] = y;
+    elt[2] = z;
+    elt[3] = w;
+}
+
+inline Vec4::Vec4(const Vec4 &v)
+{
+    elt[0] = v[0];
+    elt[1] = v[1];
+    elt[2] = v[2];
+    elt[3] = v[3];
+}
+
+inline Vec4::Vec4(const Vec3 &v, Real w)
+{
+    elt[0] = v[0];
+    elt[1] = v[1];
+    elt[2] = v[2];
+    elt[3] = w;
+}
+
+inline Real *Vec4::Ref() const
+{
+    return((Real *) elt);
+}
+
+inline Vec4 &Vec4::operator = (const Vec4 &v)
+{
+    elt[0] = v[0];
+    elt[1] = v[1];
+    elt[2] = v[2];
+    elt[3] = v[3];
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator += (const Vec4 &v)
+{
+    elt[0] += v[0];
+    elt[1] += v[1];
+    elt[2] += v[2];
+    elt[3] += v[3];
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator -= (const Vec4 &v)
+{
+    elt[0] -= v[0];
+    elt[1] -= v[1];
+    elt[2] -= v[2];
+    elt[3] -= v[3];
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator *= (const Vec4 &v)
+{
+    elt[0] *= v[0];
+    elt[1] *= v[1];
+    elt[2] *= v[2];
+    elt[3] *= v[3];
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator *= (Real s)
+{
+    elt[0] *= s;
+    elt[1] *= s;
+    elt[2] *= s;
+    elt[3] *= s;
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator /= (const Vec4 &v)
+{
+    elt[0] /= v[0];
+    elt[1] /= v[1];
+    elt[2] /= v[2];
+    elt[3] /= v[3];
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator /= (Real s)
+{
+    elt[0] /= s;
+    elt[1] /= s;
+    elt[2] /= s;
+    elt[3] /= s;
+
+    return(SELF);
+}
+
+
+inline Vec4 Vec4::operator + (const Vec4 &a) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] + a[0];
+    result[1] = elt[1] + a[1];
+    result[2] = elt[2] + a[2];
+    result[3] = elt[3] + a[3];
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator - (const Vec4 &a) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] - a[0];
+    result[1] = elt[1] - a[1];
+    result[2] = elt[2] - a[2];
+    result[3] = elt[3] - a[3];
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator - () const
+{
+    Vec4 result;
+
+    result[0] = -elt[0];
+    result[1] = -elt[1];
+    result[2] = -elt[2];
+    result[3] = -elt[3];
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator * (const Vec4 &a) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] * a[0];
+    result[1] = elt[1] * a[1];
+    result[2] = elt[2] * a[2];
+    result[3] = elt[3] * a[3];
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator * (Real s) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] * s;
+    result[1] = elt[1] * s;
+    result[2] = elt[2] * s;
+    result[3] = elt[3] * s;
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator / (const Vec4 &a) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] / a[0];
+    result[1] = elt[1] / a[1];
+    result[2] = elt[2] / a[2];
+    result[3] = elt[3] / a[3];
+
+    return(result);
+}
+
+inline Vec4 Vec4::operator / (Real s) const
+{
+    Vec4 result;
+
+    result[0] = elt[0] / s;
+    result[1] = elt[1] / s;
+    result[2] = elt[2] / s;
+    result[3] = elt[3] / s;
+
+    return(result);
+}
+
+inline Vec4 operator * (Real s, const Vec4 &v)
+{
+    return(v * s);
+}
+
+inline Vec4 &Vec4::MakeZero()
+{
+    elt[0] = vl_zero; elt[1] = vl_zero; elt[2] = vl_zero; elt[3] = vl_zero;
+    return(SELF);
+}
+
+inline Vec4 &Vec4::MakeBlock(Real k)
+{
+    elt[0] = k; elt[1] = k; elt[2] = k; elt[3] = k;
+    return(SELF);
+}
+
+inline Vec4 &Vec4::Normalise()
+{
+    Assert(sqrlen(SELF) > 0.0, "normalising length-zero vector");
+    SELF /= len(SELF);
+    return(SELF);
+}
+
+inline Vec4::Vec4(ZeroOrOne k)
+{
+    MakeBlock(k);
+}
+
+inline Vec4::Vec4(Axis k)
+{
+    MakeUnit(k, vl_1);
+}
+
+inline Vec4 &Vec4::operator = (ZeroOrOne k)
+{
+    MakeBlock(k);
+
+    return(SELF);
+}
+
+inline Vec4 &Vec4::operator = (Axis k)
+{
+    MakeUnit(k, vl_1);
+
+    return(SELF);
+}
+
+
+inline Real dot(const Vec4 &a, const Vec4 &b)
+{
+    return(a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]);
+}
+
+inline Real len(const Vec4 &v)
+{
+    return(sqrt(dot(v, v)));
+}
+
+inline Real sqrlen(const Vec4 &v)
+{
+    return(dot(v, v));
+}
+
+inline Vec4 norm(const Vec4 &v)
+{
+    Assert(sqrlen(v) > 0.0, "normalising length-zero vector");
+    return(v / len(v));
+}
+
+inline Void normalise(Vec4 &v)
+{
+    v /= len(v);
+}
+
+inline void printVec4(const Vec4 &v)
+{    
+    printf("[%10f %10f %10f %10f]",v[0],v[1],v[2],v[3]);
+}
+
+#endif