| 1 | /* |
| 2 | * Copyright 2015 Google Inc. |
| 3 | * |
| 4 | * Use of this source code is governed by a BSD-style license that can be |
| 5 | * found in the LICENSE file. |
| 6 | */ |
| 7 | |
| 8 | #ifndef SkPoint3_DEFINED |
| 9 | #define SkPoint3_DEFINED |
| 10 | |
| 11 | #include "include/core/SkPoint.h" |
| 12 | #include "include/core/SkScalar.h" |
| 13 | |
| 14 | struct SK_API SkPoint3 { |
| 15 | SkScalar fX, fY, fZ; |
| 16 | |
| 17 | static SkPoint3 Make(SkScalar x, SkScalar y, SkScalar z) { |
| 18 | SkPoint3 pt; |
| 19 | pt.set(x, y, z); |
| 20 | return pt; |
| 21 | } |
| 22 | |
| 23 | SkScalar x() const { return fX; } |
| 24 | SkScalar y() const { return fY; } |
| 25 | SkScalar z() const { return fZ; } |
| 26 | |
| 27 | void set(SkScalar x, SkScalar y, SkScalar z) { fX = x; fY = y; fZ = z; } |
| 28 | |
| 29 | friend bool operator==(const SkPoint3& a, const SkPoint3& b) { |
| 30 | return a.fX == b.fX && a.fY == b.fY && a.fZ == b.fZ; |
| 31 | } |
| 32 | |
| 33 | friend bool operator!=(const SkPoint3& a, const SkPoint3& b) { |
| 34 | return !(a == b); |
| 35 | } |
| 36 | |
| 37 | /** Returns the Euclidian distance from (0,0,0) to (x,y,z) |
| 38 | */ |
| 39 | static SkScalar Length(SkScalar x, SkScalar y, SkScalar z); |
| 40 | |
| 41 | /** Return the Euclidian distance from (0,0,0) to the point |
| 42 | */ |
| 43 | SkScalar length() const { return SkPoint3::Length(x: fX, y: fY, z: fZ); } |
| 44 | |
| 45 | /** Set the point (vector) to be unit-length in the same direction as it |
| 46 | already points. If the point has a degenerate length (i.e., nearly 0) |
| 47 | then set it to (0,0,0) and return false; otherwise return true. |
| 48 | */ |
| 49 | bool normalize(); |
| 50 | |
| 51 | /** Return a new point whose X, Y and Z coordinates are scaled. |
| 52 | */ |
| 53 | SkPoint3 makeScale(SkScalar scale) const { |
| 54 | SkPoint3 p; |
| 55 | p.set(x: scale * fX, y: scale * fY, z: scale * fZ); |
| 56 | return p; |
| 57 | } |
| 58 | |
| 59 | /** Scale the point's coordinates by scale. |
| 60 | */ |
| 61 | void scale(SkScalar value) { |
| 62 | fX *= value; |
| 63 | fY *= value; |
| 64 | fZ *= value; |
| 65 | } |
| 66 | |
| 67 | /** Return a new point whose X, Y and Z coordinates are the negative of the |
| 68 | original point's |
| 69 | */ |
| 70 | SkPoint3 operator-() const { |
| 71 | SkPoint3 neg; |
| 72 | neg.fX = -fX; |
| 73 | neg.fY = -fY; |
| 74 | neg.fZ = -fZ; |
| 75 | return neg; |
| 76 | } |
| 77 | |
| 78 | /** Returns a new point whose coordinates are the difference between |
| 79 | a and b (i.e., a - b) |
| 80 | */ |
| 81 | friend SkPoint3 operator-(const SkPoint3& a, const SkPoint3& b) { |
| 82 | return { .fX: a.fX - b.fX, .fY: a.fY - b.fY, .fZ: a.fZ - b.fZ }; |
| 83 | } |
| 84 | |
| 85 | /** Returns a new point whose coordinates are the sum of a and b (a + b) |
| 86 | */ |
| 87 | friend SkPoint3 operator+(const SkPoint3& a, const SkPoint3& b) { |
| 88 | return { .fX: a.fX + b.fX, .fY: a.fY + b.fY, .fZ: a.fZ + b.fZ }; |
| 89 | } |
| 90 | |
| 91 | /** Add v's coordinates to the point's |
| 92 | */ |
| 93 | void operator+=(const SkPoint3& v) { |
| 94 | fX += v.fX; |
| 95 | fY += v.fY; |
| 96 | fZ += v.fZ; |
| 97 | } |
| 98 | |
| 99 | /** Subtract v's coordinates from the point's |
| 100 | */ |
| 101 | void operator-=(const SkPoint3& v) { |
| 102 | fX -= v.fX; |
| 103 | fY -= v.fY; |
| 104 | fZ -= v.fZ; |
| 105 | } |
| 106 | |
| 107 | friend SkPoint3 operator*(SkScalar t, SkPoint3 p) { |
| 108 | return { .fX: t * p.fX, .fY: t * p.fY, .fZ: t * p.fZ }; |
| 109 | } |
| 110 | |
| 111 | /** Returns true if fX, fY, and fZ are measurable values. |
| 112 | |
| 113 | @return true for values other than infinities and NaN |
| 114 | */ |
| 115 | bool isFinite() const { |
| 116 | SkScalar accum = 0; |
| 117 | accum *= fX; |
| 118 | accum *= fY; |
| 119 | accum *= fZ; |
| 120 | |
| 121 | // accum is either NaN or it is finite (zero). |
| 122 | SkASSERT(0 == accum || SkScalarIsNaN(accum)); |
| 123 | |
| 124 | // value==value will be true iff value is not NaN |
| 125 | // TODO: is it faster to say !accum or accum==accum? |
| 126 | return !SkScalarIsNaN(x: accum); |
| 127 | } |
| 128 | |
| 129 | /** Returns the dot product of a and b, treating them as 3D vectors |
| 130 | */ |
| 131 | static SkScalar DotProduct(const SkPoint3& a, const SkPoint3& b) { |
| 132 | return a.fX * b.fX + a.fY * b.fY + a.fZ * b.fZ; |
| 133 | } |
| 134 | |
| 135 | SkScalar dot(const SkPoint3& vec) const { |
| 136 | return DotProduct(a: *this, b: vec); |
| 137 | } |
| 138 | |
| 139 | /** Returns the cross product of a and b, treating them as 3D vectors |
| 140 | */ |
| 141 | static SkPoint3 CrossProduct(const SkPoint3& a, const SkPoint3& b) { |
| 142 | SkPoint3 result; |
| 143 | result.fX = a.fY*b.fZ - a.fZ*b.fY; |
| 144 | result.fY = a.fZ*b.fX - a.fX*b.fZ; |
| 145 | result.fZ = a.fX*b.fY - a.fY*b.fX; |
| 146 | |
| 147 | return result; |
| 148 | } |
| 149 | |
| 150 | SkPoint3 cross(const SkPoint3& vec) const { |
| 151 | return CrossProduct(a: *this, b: vec); |
| 152 | } |
| 153 | }; |
| 154 | |
| 155 | typedef SkPoint3 SkVector3; |
| 156 | typedef SkPoint3 SkColor3f; |
| 157 | |
| 158 | #endif |
| 159 | |