add macOS implementation
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macos/include/filament/Box.h
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240
macos/include/filament/Box.h
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/*
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* Copyright (C) 2015 The Android Open Source Project
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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//! \file
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#ifndef TNT_FILAMENT_BOX_H
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#define TNT_FILAMENT_BOX_H
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#include <utils/compiler.h>
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#include <limits>
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#include <math/mat4.h>
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#include <math/vec3.h>
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namespace filament {
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/**
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* An axis aligned 3D box represented by its center and half-extent.
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*/
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class UTILS_PUBLIC Box {
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public:
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/** Center of the 3D box */
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math::float3 center = {};
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/** Half extent from the center on all 3 axis */
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math::float3 halfExtent = {};
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/**
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* Whether the box is empty, i.e.: it's volume is null.
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* @return true if the volume of the box is null
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*/
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constexpr bool isEmpty() const noexcept {
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return length2(halfExtent) == 0;
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}
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/**
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* Computes the lowest coordinates corner of the box.
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* @return center - halfExtent
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*/
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constexpr math::float3 getMin() const noexcept {
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return center - halfExtent;
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}
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/**
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* Computes the largest coordinates corner of the box.
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* @return center + halfExtent
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*/
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constexpr math::float3 getMax() const noexcept {
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return center + halfExtent;
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}
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/**
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* Initializes the 3D box from its min / max coordinates on each axis
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* @param min lowest coordinates corner of the box
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* @param max largest coordinates corner of the box
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* @return This bounding box
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*/
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Box& set(const math::float3& min, const math::float3& max) noexcept {
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// float3 ctor needed for visual studio
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center = (max + min) * math::float3(0.5f);
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halfExtent = (max - min) * math::float3(0.5f);
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return *this;
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}
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/**
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* Computes the bounding box of the union of two boxes
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* @param box The box to be combined with
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* @return The bounding box of the union of *this and box
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*/
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Box& unionSelf(const Box& box) noexcept {
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set(min(getMin(), box.getMin()), max(getMax(), box.getMax()));
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return *this;
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}
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/**
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* Translates the box *to* a given center position
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* @param tr position to translate the box to
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* @return A box centered in \p tr with the same extent than *this
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*/
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constexpr Box translateTo(const math::float3& tr) const noexcept {
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return Box{ tr, halfExtent };
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}
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/**
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* Computes the smallest bounding sphere of the box.
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* @return The smallest sphere defined by its center (.xyz) and radius (.w) that contains *this
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*/
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math::float4 getBoundingSphere() const noexcept {
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return { center, length(halfExtent) };
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}
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/**
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* Transform a Box by a linear transform and a translation.
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*
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* @param m a 3x3 matrix, the linear transform
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* @param t a float3, the translation
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* @param box the box to transform
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* @return the bounding box of the transformed box
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*/
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static Box transform(const math::mat3f& m, math::float3 const& t, const Box& box) noexcept {
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return { m * box.center + t, abs(m) * box.halfExtent };
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}
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/**
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* @deprecated Use transform() instead
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* @see transform()
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*/
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friend Box rigidTransform(Box const& box, const math::mat4f& m) noexcept {
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return transform(m.upperLeft(), m[3].xyz, box);
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}
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};
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/**
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* An axis aligned box represented by its min and max coordinates
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*/
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struct UTILS_PUBLIC Aabb {
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/** min coordinates */
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math::float3 min = std::numeric_limits<float>::max();
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/** max coordinates */
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math::float3 max = std::numeric_limits<float>::lowest();
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/**
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* Computes the center of the box.
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* @return (max + min)/2
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*/
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math::float3 center() const noexcept {
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// float3 ctor needed for visual studio
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return (max + min) * math::float3(0.5f);
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}
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/**
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* Computes the half-extent of the box.
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* @return (max - min)/2
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*/
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math::float3 extent() const noexcept {
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// float3 ctor needed for visual studio
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return (max - min) * math::float3(0.5f);
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}
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/**
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* Whether the box is empty, i.e.: it's volume is null or negative.
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* @return true if min >= max, i.e: the volume of the box is null or negative
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*/
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bool isEmpty() const noexcept {
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return any(greaterThanEqual(min, max));
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}
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struct Corners {
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using value_type = math::float3;
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value_type const* begin() const { return vertices; }
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value_type const* end() const { return vertices + 8; }
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value_type * begin() { return vertices; }
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value_type * end() { return vertices + 8; }
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value_type const* data() const { return vertices; }
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value_type * data() { return vertices; }
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size_t size() const { return 8; }
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value_type vertices[8];
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};
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/**
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* Returns the 8 corner vertices of the AABB.
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*/
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Corners getCorners() const {
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return Aabb::Corners{ .vertices = {
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{ min.x, min.y, min.z },
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{ max.x, min.y, min.z },
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{ min.x, max.y, min.z },
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{ max.x, max.y, min.z },
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{ min.x, min.y, max.z },
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{ max.x, min.y, max.z },
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{ min.x, max.y, max.z },
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{ max.x, max.y, max.z },
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}};
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}
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/**
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* Returns whether the box contains a given point.
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*
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* @param p the point to test
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* @return the maximum signed distance to the box. Negative if p is in the box
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*/
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float contains(math::float3 p) const noexcept {
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float d = min.x - p.x;
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d = std::max(d, min.y - p.y);
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d = std::max(d, min.z - p.z);
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d = std::max(d, p.x - max.x);
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d = std::max(d, p.y - max.y);
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d = std::max(d, p.z - max.z);
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return d;
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}
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/**
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* Applies an affine transformation to the AABB.
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*
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* @param m the 3x3 transformation to apply
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* @param t the translation
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* @return the transformed box
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*/
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static Aabb transform(const math::mat3f& m, math::float3 const& t, const Aabb& box) noexcept {
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// Fast AABB transformation per Jim Arvo in Graphics Gems (1990).
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Aabb result{ t, t };
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for (size_t col = 0; col < 3; ++col) {
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for (size_t row = 0; row < 3; ++row) {
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const float a = m[col][row] * box.min[col];
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const float b = m[col][row] * box.max[col];
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result.min[row] += a < b ? a : b;
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result.max[row] += a < b ? b : a;
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}
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}
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return result;
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}
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/**
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* @deprecated Use transform() instead
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* @see transform()
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*/
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Aabb transform(const math::mat4f& m) const noexcept {
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return transform(m.upperLeft(), m[3].xyz, *this);
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}
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};
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} // namespace filament
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#endif // TNT_FILAMENT_BOX_H
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