255 lines
12 KiB
C
255 lines
12 KiB
C
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/*
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==============================================================================
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This file is part of the JUCE library.
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Copyright (c) 2020 - Raw Material Software Limited
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JUCE is an open source library subject to commercial or open-source
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licensing.
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By using JUCE, you agree to the terms of both the JUCE 6 End-User License
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Agreement and JUCE Privacy Policy (both effective as of the 16th June 2020).
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End User License Agreement: www.juce.com/juce-6-licence
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Privacy Policy: www.juce.com/juce-privacy-policy
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Or: You may also use this code under the terms of the GPL v3 (see
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www.gnu.org/licenses).
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JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER
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EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE
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DISCLAIMED.
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==============================================================================
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*/
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namespace juce
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{
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//==============================================================================
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/**
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A pair of (x, y) coordinates.
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The ValueType template should be a primitive type such as int, float, double,
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rather than a class.
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@see Line, Path, AffineTransform
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@tags{Graphics}
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*/
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template <typename ValueType>
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class Point
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{
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public:
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/** Creates a point at the origin */
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constexpr Point() = default;
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/** Creates a copy of another point. */
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constexpr Point (const Point&) = default;
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/** Creates a point from an (x, y) position. */
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constexpr Point (ValueType initialX, ValueType initialY) noexcept : x (initialX), y (initialY) {}
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//==============================================================================
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/** Copies this point from another one. */
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Point& operator= (const Point&) = default;
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constexpr inline bool operator== (Point other) const noexcept { return x == other.x && y == other.y; }
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constexpr inline bool operator!= (Point other) const noexcept { return x != other.x || y != other.y; }
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/** Returns true if the point is (0, 0). */
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constexpr bool isOrigin() const noexcept { return x == ValueType() && y == ValueType(); }
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/** Returns true if the coordinates are finite values. */
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constexpr inline bool isFinite() const noexcept { return juce_isfinite(x) && juce_isfinite(y); }
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/** Returns the point's x coordinate. */
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constexpr inline ValueType getX() const noexcept { return x; }
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/** Returns the point's y coordinate. */
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constexpr inline ValueType getY() const noexcept { return y; }
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/** Sets the point's x coordinate. */
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inline void setX (ValueType newX) noexcept { x = newX; }
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/** Sets the point's y coordinate. */
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inline void setY (ValueType newY) noexcept { y = newY; }
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/** Returns a point which has the same Y position as this one, but a new X. */
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constexpr Point withX (ValueType newX) const noexcept { return Point (newX, y); }
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/** Returns a point which has the same X position as this one, but a new Y. */
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constexpr Point withY (ValueType newY) const noexcept { return Point (x, newY); }
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/** Changes the point's x and y coordinates. */
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void setXY (ValueType newX, ValueType newY) noexcept { x = newX; y = newY; }
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/** Adds a pair of coordinates to this value. */
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void addXY (ValueType xToAdd, ValueType yToAdd) noexcept { x += xToAdd; y += yToAdd; }
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//==============================================================================
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/** Returns a point with a given offset from this one. */
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constexpr Point translated (ValueType deltaX, ValueType deltaY) const noexcept { return Point (x + deltaX, y + deltaY); }
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/** Adds two points together */
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constexpr Point operator+ (Point other) const noexcept { return Point (x + other.x, y + other.y); }
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/** Adds another point's coordinates to this one */
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Point& operator+= (Point other) noexcept { x += other.x; y += other.y; return *this; }
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/** Subtracts one points from another */
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constexpr Point operator- (Point other) const noexcept { return Point (x - other.x, y - other.y); }
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/** Subtracts another point's coordinates to this one */
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Point& operator-= (Point other) noexcept { x -= other.x; y -= other.y; return *this; }
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/** Multiplies two points together */
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template <typename OtherType>
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constexpr Point operator* (Point<OtherType> other) const noexcept { return Point ((ValueType) (x * other.x), (ValueType) (y * other.y)); }
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/** Multiplies another point's coordinates to this one */
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template <typename OtherType>
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Point& operator*= (Point<OtherType> other) noexcept { *this = *this * other; return *this; }
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/** Divides one point by another */
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template <typename OtherType>
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constexpr Point operator/ (Point<OtherType> other) const noexcept { return Point ((ValueType) (x / other.x), (ValueType) (y / other.y)); }
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/** Divides this point's coordinates by another */
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template <typename OtherType>
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Point& operator/= (Point<OtherType> other) noexcept { *this = *this / other; return *this; }
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/** Returns a point whose coordinates are multiplied by a given scalar value. */
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template <typename OtherType>
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constexpr Point operator* (OtherType multiplier) const noexcept
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{
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using CommonType = typename std::common_type<ValueType, OtherType>::type;
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return Point ((ValueType) ((CommonType) x * (CommonType) multiplier),
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(ValueType) ((CommonType) y * (CommonType) multiplier));
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}
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/** Returns a point whose coordinates are divided by a given scalar value. */
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template <typename OtherType>
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constexpr Point operator/ (OtherType divisor) const noexcept
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{
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using CommonType = typename std::common_type<ValueType, OtherType>::type;
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return Point ((ValueType) ((CommonType) x / (CommonType) divisor),
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(ValueType) ((CommonType) y / (CommonType) divisor));
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}
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/** Multiplies the point's coordinates by a scalar value. */
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template <typename FloatType>
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Point& operator*= (FloatType multiplier) noexcept { x = (ValueType) (x * multiplier); y = (ValueType) (y * multiplier); return *this; }
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/** Divides the point's coordinates by a scalar value. */
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template <typename FloatType>
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Point& operator/= (FloatType divisor) noexcept { x = (ValueType) (x / divisor); y = (ValueType) (y / divisor); return *this; }
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/** Returns the inverse of this point. */
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constexpr Point operator-() const noexcept { return Point (-x, -y); }
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//==============================================================================
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/** This type will be double if the Point's type is double, otherwise it will be float. */
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using FloatType = typename TypeHelpers::SmallestFloatType<ValueType>::type;
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//==============================================================================
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/** Returns the straight-line distance between this point and the origin. */
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ValueType getDistanceFromOrigin() const noexcept { return juce_hypot (x, y); }
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/** Returns the straight-line distance between this point and another one. */
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ValueType getDistanceFrom (Point other) const noexcept { return juce_hypot (x - other.x, y - other.y); }
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/** Returns the square of the straight-line distance between this point and the origin. */
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constexpr ValueType getDistanceSquaredFromOrigin() const noexcept { return x * x + y * y; }
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/** Returns the square of the straight-line distance between this point and another one. */
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constexpr ValueType getDistanceSquaredFrom (Point other) const noexcept { return (*this - other).getDistanceSquaredFromOrigin(); }
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/** Returns the angle from this point to another one.
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Taking this point to be the centre of a circle, and the other point being a position on
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the circumference, the return value is the number of radians clockwise from the 12 o'clock
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direction.
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So 12 o'clock = 0, 3 o'clock = Pi/2, 6 o'clock = Pi, 9 o'clock = -Pi/2
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*/
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FloatType getAngleToPoint (Point other) const noexcept
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{
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return static_cast<FloatType> (std::atan2 (static_cast<FloatType> (other.x - x),
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static_cast<FloatType> (y - other.y)));
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}
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/** Returns the point that would be reached by rotating this point clockwise
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about the origin by the specified angle.
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*/
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Point rotatedAboutOrigin (ValueType angleRadians) const noexcept
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{
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return Point (x * std::cos (angleRadians) - y * std::sin (angleRadians),
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x * std::sin (angleRadians) + y * std::cos (angleRadians));
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}
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/** Taking this point to be the centre of a circle, this returns a point on its circumference.
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@param radius the radius of the circle.
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@param angle the angle of the point, in radians clockwise from the 12 o'clock position.
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*/
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Point<FloatType> getPointOnCircumference (float radius, float angle) const noexcept
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{
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return Point<FloatType> (static_cast<FloatType> (x + radius * std::sin (angle)),
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static_cast<FloatType> (y - radius * std::cos (angle)));
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}
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/** Taking this point to be the centre of an ellipse, this returns a point on its circumference.
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@param radiusX the horizontal radius of the circle.
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@param radiusY the vertical radius of the circle.
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@param angle the angle of the point, in radians clockwise from the 12 o'clock position.
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*/
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Point<FloatType> getPointOnCircumference (float radiusX, float radiusY, float angle) const noexcept
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{
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return Point<FloatType> (static_cast<FloatType> (x + radiusX * std::sin (angle)),
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static_cast<FloatType> (y - radiusY * std::cos (angle)));
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}
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/** Returns the dot-product of two points (x1 * x2 + y1 * y2). */
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constexpr FloatType getDotProduct (Point other) const noexcept { return x * other.x + y * other.y; }
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//==============================================================================
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/** Uses a transform to change the point's coordinates.
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This will only compile if ValueType = float!
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@see AffineTransform::transformPoint
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*/
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void applyTransform (const AffineTransform& transform) noexcept { transform.transformPoint (x, y); }
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/** Returns the position of this point, if it is transformed by a given AffineTransform. */
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Point transformedBy (const AffineTransform& transform) const noexcept
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{
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return Point (static_cast<ValueType> (transform.mat00 * (float) x + transform.mat01 * (float) y + transform.mat02),
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static_cast<ValueType> (transform.mat10 * (float) x + transform.mat11 * (float) y + transform.mat12));
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}
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//==============================================================================
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/** Casts this point to a Point<int> object. */
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constexpr Point<int> toInt() const noexcept { return Point<int> (static_cast<int> (x), static_cast<int> (y)); }
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/** Casts this point to a Point<float> object. */
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constexpr Point<float> toFloat() const noexcept { return Point<float> (static_cast<float> (x), static_cast<float> (y)); }
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/** Casts this point to a Point<double> object. */
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constexpr Point<double> toDouble() const noexcept { return Point<double> (static_cast<double> (x), static_cast<double> (y)); }
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/** Casts this point to a Point<int> object using roundToInt() to convert the values. */
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constexpr Point<int> roundToInt() const noexcept { return Point<int> (juce::roundToInt (x), juce::roundToInt (y)); }
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/** Returns the point as a string in the form "x, y". */
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String toString() const { return String (x) + ", " + String (y); }
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//==============================================================================
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ValueType x{}; /**< The point's X coordinate. */
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ValueType y{}; /**< The point's Y coordinate. */
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};
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/** Multiplies the point's coordinates by a scalar value. */
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template <typename ValueType>
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Point<ValueType> operator* (ValueType value, Point<ValueType> p) noexcept { return p * value; }
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} // namespace juce
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