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18 Commits

Author SHA1 Message Date
dd421e329e added files 2026-04-08 18:23:07 +03:00
8f65183882 fixed tests 2026-04-08 15:34:10 +03:00
327db8d441 updated contributing 2026-04-03 20:59:34 +03:00
d8188de736 keeping 1 AABB type 2026-03-28 14:22:36 +03:00
33cd3f64e4 Merge pull request #180 from orange-cpp/feature/aabb-linetrace
added aabb line trace
2026-03-25 03:37:35 +03:00
67a07eed45 added aabb line trace 2026-03-25 03:14:22 +03:00
0b52b2847b Merge pull request #179 from orange-cpp/feature/aabb_check
added AABB check
2026-03-24 10:45:00 +03:00
d38895e4d7 added AABB check 2026-03-24 10:20:50 +03:00
04203d46ff patch 2026-03-24 06:44:10 +03:00
bcbb5c1a8d fixed index 2026-03-24 06:05:56 +03:00
ba46c86664 simplified method 2026-03-24 06:03:35 +03:00
3b0470cc11 Merge pull request #178 from orange-cpp/feature/imrovements
Feature/imrovements
2026-03-24 05:55:47 +03:00
8562c5d1f2 added more unreachable checks 2026-03-24 05:28:01 +03:00
8daba25c29 added ureachable 2026-03-24 05:21:00 +03:00
29b7ac6450 Merge pull request #177 from orange-cpp/feature/custom_ndc_z_range
Feature/custom ndc z range
2026-03-24 04:20:57 +03:00
89df10b778 specifeid ndc for game engines 2026-03-24 00:08:06 +03:00
8fb96b83db removed dead code 2026-03-23 23:52:41 +03:00
4b6db0c402 updated z range 2026-03-23 23:36:19 +03:00
50 changed files with 2511 additions and 152 deletions

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@@ -1,7 +0,0 @@
{
"permissions": {
"allow": [
"Bash(ls:*)"
]
}
}

10
.idea/editor.xml generated
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@@ -17,7 +17,7 @@
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppBoostFormatTooManyArgs/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCStyleCast/@EntryIndexedValue" value="SUGGESTION" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppCVQualifierCanNotBeAppliedToReference/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassCanBeFinal/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassCanBeFinal/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassIsIncomplete/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassNeedsConstructorBecauseOfUninitializedMember/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppClassNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
@@ -103,14 +103,14 @@
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppImplicitDefaultConstructorNotAvailable/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompatiblePointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIncompleteSwitchStatement/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInconsistentNaming/@EntryIndexedValue" value="HINT" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInconsistentNaming/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppIntegralToPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppInvalidLineContinuation/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppJoinDeclarationAndAssignment/@EntryIndexedValue" value="SUGGESTION" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLambdaCaptureNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableMayBeConst/@EntryIndexedValue" value="HINT" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableMightNotBeInitialized/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableWithNonTrivialDtorIsNeverUsed/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLocalVariableWithNonTrivialDtorIsNeverUsed/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppLongFloat/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMemberFunctionMayBeConst/@EntryIndexedValue" value="SUGGESTION" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppMemberFunctionMayBeStatic/@EntryIndexedValue" value="SUGGESTION" type="string" />
@@ -202,7 +202,7 @@
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticDataMemberInUnnamedStruct/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStaticSpecifierOnAnonymousNamespaceMember/@EntryIndexedValue" value="SUGGESTION" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppStringLiteralToCharPointerConversion/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTabsAreDisallowed/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTabsAreDisallowed/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateArgumentsCanBeDeduced/@EntryIndexedValue" value="HINT" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateParameterNeverUsed/@EntryIndexedValue" value="HINT" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppTemplateParameterShadowing/@EntryIndexedValue" value="WARNING" type="string" />
@@ -216,7 +216,7 @@
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaEndRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnmatchedPragmaRegionDirective/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnamedNamespaceInHeaderFile/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnecessaryWhitespace/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnnecessaryWhitespace/@EntryIndexedValue" value="DO_NOT_SHOW" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnsignedZeroComparison/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUnusedIncludeDirective/@EntryIndexedValue" value="WARNING" type="string" />
<option name="/Default/CodeInspection/Highlighting/InspectionSeverities/=CppUseAlgorithmWithCount/@EntryIndexedValue" value="SUGGESTION" type="string" />

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@@ -1,32 +1,36 @@
## 🤝 Contributing to OMath or other Orange's Projects
# Contributing
### ❕ Prerequisites
## Prerequisites
- A working up-to-date OMath installation
- C++ knowledge
- Git knowledge
- Ability to ask for help (Feel free to create empty pull-request or PM a maintainer
in [Telegram](https://t.me/orange_cpp))
- C++ compiler with C++23 support (Clang 18+, GCC 14+, MSVC 19.38+)
- CMake 3.25+
- Git
- Familiarity with the codebase (see `INSTALL.md` for setup)
### ⏬ Setting up OMath
For questions, create a draft PR or reach out via [Telegram](https://t.me/orange_cpp).
Please read INSTALL.md file in repository
## Workflow
### 🔀 Pull requests and Branches
1. [Fork](https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/working-with-forks/fork-a-repo) the repository.
2. Create a feature branch from `main`.
3. Make your changes, ensuring tests pass.
4. Open a [pull request](https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/proposing-changes-to-your-work-with-pull-requests/creating-a-pull-request-from-a-fork) against `main`.
In order to send code back to the official OMath repository, you must first create a copy of OMath on your github
account ([fork](https://help.github.com/articles/creating-a-pull-request-from-a-fork/)) and
then [create a pull request](https://help.github.com/articles/creating-a-pull-request-from-a-fork/) back to OMath.
## Code Style
OMath development is performed on multiple branches. Changes are then pull requested into master. By default, changes
merged into master will not roll out to stable build users unless the `stable` tag is updated.
Follow the project `.clang-format`. Run `clang-format` before committing.
### 📜 Code-Style
## Building
The orange code-style can be found in `.clang-format`.
Use one of the CMake presets defined in `CMakePresets.json`:
### 📦 Building
```bash
cmake --preset <preset-name> -DOMATH_BUILD_TESTS=ON
cmake --build --preset <preset-name>
```
OMath has already created the `cmake-build` and `out` directories where cmake/bin files are located. By default, you
can build OMath by running `cmake --build cmake-build/build/windows-release --target omath -j 6` in the source
directory.
Run `cmake --list-presets` to see available configurations.
## Tests
All new functionality must include unit tests. Run the test binary after building to verify nothing is broken.

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@@ -71,18 +71,18 @@ void drawChar(char c, float x, float y, float scale, const Color& color, std::ve
lines.push_back(x + x1 * w);
lines.push_back(y + y1 * h);
lines.push_back(0.0f);
lines.push_back(color.x);
lines.push_back(color.y);
lines.push_back(color.z);
lines.push_back(color.value().x);
lines.push_back(color.value().y);
lines.push_back(color.value().z);
lines.push_back(1.0f); // size
lines.push_back(1.0f); // isLine
lines.push_back(x + x2 * w);
lines.push_back(y + y2 * h);
lines.push_back(0.0f);
lines.push_back(color.x);
lines.push_back(color.y);
lines.push_back(color.z);
lines.push_back(color.value().x);
lines.push_back(color.value().y);
lines.push_back(color.value().z);
lines.push_back(1.0f); // size
lines.push_back(1.0f); // isLine
};

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@@ -0,0 +1,28 @@
//
// Created by Vladislav on 24.03.2026.
//
#pragma once
#include "omath/linear_algebra/vector3.hpp"
namespace omath::primitives
{
template<class Type>
struct Aabb final
{
Vector3<Type> min;
Vector3<Type> max;
[[nodiscard]]
constexpr Vector3<Type> center() const noexcept
{
return (min + max) / static_cast<Type>(2);
}
[[nodiscard]]
constexpr Vector3<Type> extents() const noexcept
{
return (max - min) / static_cast<Type>(2);
}
};
} // namespace omath::primitives

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@@ -0,0 +1,412 @@
//
// Created by Orange on 04/08/2026.
//
#pragma once
#include "omath/3d_primitives/aabb.hpp"
#include "omath/collision/line_tracer.hpp"
#include <algorithm>
#include <cstdint>
#include <numeric>
#include <span>
#include <vector>
namespace omath::collision
{
template<class Type = float>
class BvhTree final
{
public:
using AabbType = primitives::Aabb<Type>;
struct HitResult
{
std::size_t object_index;
Type distance_sqr;
};
BvhTree() = default;
explicit BvhTree(std::span<const AabbType> aabbs)
: m_aabbs(aabbs.begin(), aabbs.end())
{
if (aabbs.empty())
return;
m_indices.resize(aabbs.size());
std::iota(m_indices.begin(), m_indices.end(), std::size_t{0});
m_nodes.reserve(aabbs.size() * 2);
build(m_aabbs, 0, aabbs.size());
}
[[nodiscard]]
std::vector<std::size_t> query_overlaps(const AabbType& query_aabb) const
{
std::vector<std::size_t> results;
if (m_nodes.empty())
return results;
query_overlaps_impl(0, query_aabb, results);
return results;
}
template<class RayType = Ray<>>
[[nodiscard]]
std::vector<HitResult> query_ray(const RayType& ray) const
{
std::vector<HitResult> results;
if (m_nodes.empty())
return results;
query_ray_impl(0, ray, results);
std::ranges::sort(results, [](const HitResult& a, const HitResult& b)
{ return a.distance_sqr < b.distance_sqr; });
return results;
}
[[nodiscard]]
std::size_t node_count() const noexcept
{
return m_nodes.size();
}
[[nodiscard]]
bool empty() const noexcept
{
return m_nodes.empty();
}
private:
static constexpr std::size_t k_sah_bucket_count = 12;
static constexpr std::size_t k_leaf_threshold = 1;
static constexpr std::size_t k_null_index = std::numeric_limits<std::size_t>::max();
struct Node
{
AabbType bounds;
std::size_t left = k_null_index;
std::size_t right = k_null_index;
// For leaf nodes: index range into m_indices
std::size_t first_index = 0;
std::size_t index_count = 0;
[[nodiscard]]
bool is_leaf() const noexcept
{
return left == k_null_index;
}
};
struct SahBucket
{
AabbType bounds = {
{std::numeric_limits<Type>::max(), std::numeric_limits<Type>::max(),
std::numeric_limits<Type>::max()},
{std::numeric_limits<Type>::lowest(), std::numeric_limits<Type>::lowest(),
std::numeric_limits<Type>::lowest()}
};
std::size_t count = 0;
};
[[nodiscard]]
static constexpr Type surface_area(const AabbType& aabb) noexcept
{
const auto d = aabb.max - aabb.min;
return static_cast<Type>(2) * (d.x * d.y + d.y * d.z + d.z * d.x);
}
[[nodiscard]]
static constexpr AabbType merge(const AabbType& a, const AabbType& b) noexcept
{
return {
{std::min(a.min.x, b.min.x), std::min(a.min.y, b.min.y), std::min(a.min.z, b.min.z)},
{std::max(a.max.x, b.max.x), std::max(a.max.y, b.max.y), std::max(a.max.z, b.max.z)}
};
}
[[nodiscard]]
static constexpr bool overlaps(const AabbType& a, const AabbType& b) noexcept
{
return a.min.x <= b.max.x && a.max.x >= b.min.x
&& a.min.y <= b.max.y && a.max.y >= b.min.y
&& a.min.z <= b.max.z && a.max.z >= b.min.z;
}
std::size_t build(std::span<const AabbType> aabbs, std::size_t begin, std::size_t end)
{
const auto node_idx = m_nodes.size();
m_nodes.emplace_back();
auto& node = m_nodes[node_idx];
node.bounds = compute_bounds(aabbs, begin, end);
const auto count = end - begin;
if (count <= k_leaf_threshold)
{
node.first_index = begin;
node.index_count = count;
return node_idx;
}
// Find best SAH split
const auto centroid_bounds = compute_centroid_bounds(aabbs, begin, end);
const auto split = find_best_split(aabbs, begin, end, node.bounds, centroid_bounds);
// If SAH says don't split, make a leaf
if (!split.has_value())
{
node.first_index = begin;
node.index_count = count;
return node_idx;
}
const auto [axis, split_pos] = split.value();
// Partition indices around the split
const auto mid = partition_indices(aabbs, begin, end, axis, split_pos);
// Degenerate partition fallback: split in the middle
const auto actual_mid = (mid == begin || mid == end) ? begin + count / 2 : mid;
// Build children — careful: m_nodes may reallocate, so don't hold references across build calls
const auto left_idx = build(aabbs, begin, actual_mid);
const auto right_idx = build(aabbs, actual_mid, end);
m_nodes[node_idx].left = left_idx;
m_nodes[node_idx].right = right_idx;
m_nodes[node_idx].index_count = 0;
return node_idx;
}
[[nodiscard]]
AabbType compute_bounds(std::span<const AabbType> aabbs, std::size_t begin, std::size_t end) const
{
AabbType bounds = {
{std::numeric_limits<Type>::max(), std::numeric_limits<Type>::max(),
std::numeric_limits<Type>::max()},
{std::numeric_limits<Type>::lowest(), std::numeric_limits<Type>::lowest(),
std::numeric_limits<Type>::lowest()}
};
for (auto i = begin; i < end; ++i)
bounds = merge(bounds, aabbs[m_indices[i]]);
return bounds;
}
[[nodiscard]]
AabbType compute_centroid_bounds(std::span<const AabbType> aabbs, std::size_t begin, std::size_t end) const
{
AabbType bounds = {
{std::numeric_limits<Type>::max(), std::numeric_limits<Type>::max(),
std::numeric_limits<Type>::max()},
{std::numeric_limits<Type>::lowest(), std::numeric_limits<Type>::lowest(),
std::numeric_limits<Type>::lowest()}
};
for (auto i = begin; i < end; ++i)
{
const auto c = aabbs[m_indices[i]].center();
bounds.min.x = std::min(bounds.min.x, c.x);
bounds.min.y = std::min(bounds.min.y, c.y);
bounds.min.z = std::min(bounds.min.z, c.z);
bounds.max.x = std::max(bounds.max.x, c.x);
bounds.max.y = std::max(bounds.max.y, c.y);
bounds.max.z = std::max(bounds.max.z, c.z);
}
return bounds;
}
struct SplitResult
{
int axis;
Type position;
};
[[nodiscard]]
std::optional<SplitResult> find_best_split(std::span<const AabbType> aabbs, std::size_t begin,
std::size_t end, const AabbType& node_bounds,
const AabbType& centroid_bounds) const
{
const auto count = end - begin;
const auto leaf_cost = static_cast<Type>(count);
auto best_cost = leaf_cost;
std::optional<SplitResult> best_split;
for (int axis = 0; axis < 3; ++axis)
{
const auto axis_min = get_component(centroid_bounds.min, axis);
const auto axis_max = get_component(centroid_bounds.max, axis);
if (axis_max - axis_min < std::numeric_limits<Type>::epsilon())
continue;
SahBucket buckets[k_sah_bucket_count] = {};
const auto inv_extent = static_cast<Type>(k_sah_bucket_count) / (axis_max - axis_min);
// Fill buckets
for (auto i = begin; i < end; ++i)
{
const auto centroid = get_component(aabbs[m_indices[i]].center(), axis);
auto bucket_idx = static_cast<std::size_t>((centroid - axis_min) * inv_extent);
bucket_idx = std::min(bucket_idx, k_sah_bucket_count - 1);
buckets[bucket_idx].count++;
if (buckets[bucket_idx].count == 1)
buckets[bucket_idx].bounds = aabbs[m_indices[i]];
else
buckets[bucket_idx].bounds = merge(buckets[bucket_idx].bounds, aabbs[m_indices[i]]);
}
// Evaluate split costs using prefix/suffix sweeps
AabbType prefix_bounds[k_sah_bucket_count - 1];
std::size_t prefix_count[k_sah_bucket_count - 1];
prefix_bounds[0] = buckets[0].bounds;
prefix_count[0] = buckets[0].count;
for (std::size_t i = 1; i < k_sah_bucket_count - 1; ++i)
{
prefix_bounds[i] = (buckets[i].count > 0)
? merge(prefix_bounds[i - 1], buckets[i].bounds)
: prefix_bounds[i - 1];
prefix_count[i] = prefix_count[i - 1] + buckets[i].count;
}
AabbType suffix_bounds = buckets[k_sah_bucket_count - 1].bounds;
std::size_t suffix_count = buckets[k_sah_bucket_count - 1].count;
const auto parent_area = surface_area(node_bounds);
const auto inv_parent_area = static_cast<Type>(1) / parent_area;
for (auto i = static_cast<int>(k_sah_bucket_count) - 2; i >= 0; --i)
{
const auto left_count = prefix_count[i];
const auto right_count = suffix_count;
if (left_count == 0 || right_count == 0)
{
if (i > 0)
{
suffix_bounds = (buckets[i].count > 0)
? merge(suffix_bounds, buckets[i].bounds)
: suffix_bounds;
suffix_count += buckets[i].count;
}
continue;
}
const auto cost = static_cast<Type>(1)
+ (static_cast<Type>(left_count) * surface_area(prefix_bounds[i])
+ static_cast<Type>(right_count) * surface_area(suffix_bounds))
* inv_parent_area;
if (cost < best_cost)
{
best_cost = cost;
best_split = SplitResult{
axis,
axis_min + static_cast<Type>(i + 1) * (axis_max - axis_min)
/ static_cast<Type>(k_sah_bucket_count)
};
}
suffix_bounds = (buckets[i].count > 0)
? merge(suffix_bounds, buckets[i].bounds)
: suffix_bounds;
suffix_count += buckets[i].count;
}
}
return best_split;
}
std::size_t partition_indices(std::span<const AabbType> aabbs, std::size_t begin, std::size_t end,
int axis, Type split_pos)
{
auto it = std::partition(m_indices.begin() + static_cast<std::ptrdiff_t>(begin),
m_indices.begin() + static_cast<std::ptrdiff_t>(end),
[&](std::size_t idx)
{ return get_component(aabbs[idx].center(), axis) < split_pos; });
return static_cast<std::size_t>(std::distance(m_indices.begin(), it));
}
[[nodiscard]]
static constexpr Type get_component(const Vector3<Type>& v, int axis) noexcept
{
switch (axis)
{
case 0:
return v.x;
case 1:
return v.y;
default:
return v.z;
}
}
void query_overlaps_impl(std::size_t node_idx, const AabbType& query_aabb,
std::vector<std::size_t>& results) const
{
const auto& node = m_nodes[node_idx];
if (!overlaps(node.bounds, query_aabb))
return;
if (node.is_leaf())
{
for (auto i = node.first_index; i < node.first_index + node.index_count; ++i)
if (overlaps(query_aabb, m_aabbs[m_indices[i]]))
results.push_back(m_indices[i]);
return;
}
query_overlaps_impl(node.left, query_aabb, results);
query_overlaps_impl(node.right, query_aabb, results);
}
template<class RayType>
void query_ray_impl(std::size_t node_idx, const RayType& ray,
std::vector<HitResult>& results) const
{
const auto& node = m_nodes[node_idx];
// Quick AABB-ray rejection using the slab method
const auto hit = LineTracer<RayType>::get_ray_hit_point(ray, node.bounds);
if (hit == ray.end)
return;
if (node.is_leaf())
{
for (auto i = node.first_index; i < node.first_index + node.index_count; ++i)
{
const auto leaf_hit = LineTracer<RayType>::get_ray_hit_point(
ray, m_aabbs[m_indices[i]]);
if (leaf_hit != ray.end)
{
const auto diff = leaf_hit - ray.start;
results.push_back({m_indices[i], diff.dot(diff)});
}
}
return;
}
query_ray_impl(node.left, ray, results);
query_ray_impl(node.right, ray, results);
}
std::vector<Node> m_nodes;
std::vector<std::size_t> m_indices;
std::vector<AabbType> m_aabbs;
};
} // namespace omath::collision

View File

@@ -3,6 +3,7 @@
//
#pragma once
#include "omath/3d_primitives/aabb.hpp"
#include "omath/linear_algebra/triangle.hpp"
#include "omath/linear_algebra/vector3.hpp"
@@ -34,6 +35,7 @@ namespace omath::collision
class LineTracer final
{
using TriangleType = Triangle<typename RayType::VectorType>;
using AABBType = primitives::Aabb<typename RayType::VectorType::ContainedType>;
public:
LineTracer() = delete;
@@ -87,6 +89,54 @@ namespace omath::collision
return ray.start + ray_dir * t_hit;
}
// Slab method ray-AABB intersection
// Returns the hit point on the AABB surface, or ray.end if no intersection
[[nodiscard]]
constexpr static auto get_ray_hit_point(const RayType& ray, const AABBType& aabb) noexcept
{
using T = typename RayType::VectorType::ContainedType;
const auto dir = ray.direction_vector();
auto t_min = -std::numeric_limits<T>::infinity();
auto t_max = std::numeric_limits<T>::infinity();
const auto process_axis = [&](const T& d, const T& origin, const T& box_min,
const T& box_max) -> bool
{
constexpr T k_epsilon = std::numeric_limits<T>::epsilon();
if (std::abs(d) < k_epsilon)
return origin >= box_min && origin <= box_max;
const T inv = T(1) / d;
T t0 = (box_min - origin) * inv;
T t1 = (box_max - origin) * inv;
if (t0 > t1)
std::swap(t0, t1);
t_min = std::max(t_min, t0);
t_max = std::min(t_max, t1);
return t_min <= t_max;
};
if (!process_axis(dir.x, ray.start.x, aabb.min.x, aabb.max.x))
return ray.end;
if (!process_axis(dir.y, ray.start.y, aabb.min.y, aabb.max.y))
return ray.end;
if (!process_axis(dir.z, ray.start.z, aabb.min.z, aabb.max.z))
return ray.end;
// t_hit: use entry point if in front of origin, otherwise 0 (started inside)
const T t_hit = std::max(T(0), t_min);
if (t_max < T(0))
return ray.end; // box entirely behind origin
if (!ray.infinite_length && t_hit > T(1))
return ray.end; // box beyond ray endpoint
return ray.start + dir * t_hit;
}
template<class MeshType>
[[nodiscard]]
constexpr static auto get_ray_hit_point(const RayType& ray, const MeshType& mesh) noexcept

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@@ -9,5 +9,5 @@
namespace omath::cry_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::cry_engine

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@@ -22,7 +22,8 @@ namespace omath::cry_engine
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::cry_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::cry_engine

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@@ -9,5 +9,5 @@
namespace omath::frostbite_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::unity_engine

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@@ -22,7 +22,8 @@ namespace omath::frostbite_engine
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::frostbite_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::unreal_engine

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@@ -9,5 +9,5 @@
namespace omath::iw_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::iw_engine

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@@ -22,7 +22,8 @@ namespace omath::iw_engine
[[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::iw_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::iw_engine

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@@ -8,5 +8,5 @@
namespace omath::opengl_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, true>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, true, NDCDepthRange::NEGATIVE_ONE_TO_ONE>;
} // namespace omath::opengl_engine

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@@ -21,7 +21,8 @@ namespace omath::opengl_engine
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::opengl_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::opengl_engine

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@@ -7,5 +7,5 @@
#include "traits/camera_trait.hpp"
namespace omath::source_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::source_engine

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@@ -21,7 +21,8 @@ namespace omath::source_engine
[[nodiscard]] Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::source_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::source_engine

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@@ -9,5 +9,5 @@
namespace omath::unity_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::unity_engine

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@@ -22,7 +22,8 @@ namespace omath::unity_engine
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::unity_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::unity_engine

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@@ -9,5 +9,5 @@
namespace omath::unreal_engine
{
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait>;
using Camera = projection::Camera<Mat4X4, ViewAngles, CameraTrait, false, NDCDepthRange::ZERO_TO_ONE>;
} // namespace omath::unreal_engine

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@@ -22,7 +22,8 @@ namespace omath::unreal_engine
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept;
[[nodiscard]]
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far) noexcept;
Mat4X4 calc_perspective_projection_matrix(float field_of_view, float aspect_ratio, float near, float far,
NDCDepthRange ndc_depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE) noexcept;
template<class FloatingType>
requires std::is_floating_point_v<FloatingType>

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@@ -18,7 +18,7 @@ namespace omath::unreal_engine
static Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept;
[[nodiscard]]
static Mat4X4 calc_projection_matrix(const projection::FieldOfView& fov, const projection::ViewPort& view_port,
float near, float far) noexcept;
float near, float far, NDCDepthRange ndc_depth_range) noexcept;
};
} // namespace omath::unreal_engine

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@@ -37,6 +37,12 @@ namespace omath
COLUMN_MAJOR
};
enum class NDCDepthRange : uint8_t
{
NEGATIVE_ONE_TO_ONE = 0, // OpenGL: [-1.0, 1.0]
ZERO_TO_ONE // DirectX / Vulkan: [0.0, 1.0]
};
template<typename M1, typename M2> concept MatTemplateEqual
= (M1::rows == M2::rows) && (M1::columns == M2::columns)
&& std::is_same_v<typename M1::value_type, typename M2::value_type> && (M1::store_type == M2::store_type);
@@ -658,56 +664,98 @@ namespace omath
} * mat_translation<Type, St>(-camera_origin);
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_perspective_left_handed(const float field_of_view, const float aspect_ratio,
const float near, const float far) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, (far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, far / (far - near), -(near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
else if constexpr (DepthRange == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, (far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, 1.f, 0.f}};
else
std::unreachable();
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_perspective_right_handed(const float field_of_view, const float aspect_ratio,
const float near, const float far) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -(far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -far / (far - near), -(near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
else if constexpr (DepthRange == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return {{1.f / (aspect_ratio * fov_half_tan), 0.f, 0.f, 0.f},
{0.f, 1.f / fov_half_tan, 0.f, 0.f},
{0.f, 0.f, -(far + near) / (far - near), -(2.f * near * far) / (far - near)},
{0.f, 0.f, -1.f, 0.f}};
else
std::unreachable();
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_ortho_left_handed(const Type left, const Type right, const Type bottom, const Type top,
const Type near, const Type far) noexcept
{
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(1) / (far - near), -near / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else if constexpr (DepthRange == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else
std::unreachable();
}
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR>
template<class Type = float, MatStoreType St = MatStoreType::ROW_MAJOR,
NDCDepthRange DepthRange = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
[[nodiscard]]
Mat<4, 4, Type, St> mat_ortho_right_handed(const Type left, const Type right, const Type bottom, const Type top,
const Type near, const Type far) noexcept
{
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
if constexpr (DepthRange == NDCDepthRange::ZERO_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(1) / (far - near), -near / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else if constexpr (DepthRange == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return
{
{ static_cast<Type>(2) / (right - left), 0.f, 0.f, -(right + left) / (right - left)},
{ 0.f, static_cast<Type>(2) / (top - bottom), 0.f, -(top + bottom) / (top - bottom)},
{ 0.f, 0.f, -static_cast<Type>(2) / (far - near), -(far + near) / (far - near) },
{ 0.f, 0.f, 0.f, 1.f }
};
else
std::unreachable();
}
template<class T = float, MatStoreType St = MatStoreType::COLUMN_MAJOR>
Mat<4, 4, T, St> mat_look_at_left_handed(const Vector3<T>& eye, const Vector3<T>& center, const Vector3<T>& up)

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@@ -35,6 +35,7 @@
#include "omath/collision/line_tracer.hpp"
#include "omath/collision/gjk_algorithm.hpp"
#include "omath/collision/epa_algorithm.hpp"
#include "omath/collision/bvh_tree.hpp"
// Pathfinding algorithms
#include "omath/pathfinding/a_star.hpp"
#include "omath/pathfinding/navigation_mesh.hpp"

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@@ -4,6 +4,7 @@
#pragma once
#include "omath/3d_primitives/aabb.hpp"
#include "omath/linear_algebra/mat.hpp"
#include "omath/linear_algebra/triangle.hpp"
#include "omath/linear_algebra/vector3.hpp"
@@ -44,19 +45,21 @@ namespace omath::projection
template<class T, class MatType, class ViewAnglesType>
concept CameraEngineConcept =
requires(const Vector3<float>& cam_origin, const Vector3<float>& look_at, const ViewAnglesType& angles,
const FieldOfView& fov, const ViewPort& viewport, float znear, float zfar) {
const FieldOfView& fov, const ViewPort& viewport, float znear, float zfar,
NDCDepthRange ndc_depth_range) {
// Presence + return types
{ T::calc_look_at_angle(cam_origin, look_at) } -> std::same_as<ViewAnglesType>;
{ T::calc_view_matrix(angles, cam_origin) } -> std::same_as<MatType>;
{ T::calc_projection_matrix(fov, viewport, znear, zfar) } -> std::same_as<MatType>;
{ T::calc_projection_matrix(fov, viewport, znear, zfar, ndc_depth_range) } -> std::same_as<MatType>;
// Enforce noexcept as in the trait declaration
requires noexcept(T::calc_look_at_angle(cam_origin, look_at));
requires noexcept(T::calc_view_matrix(angles, cam_origin));
requires noexcept(T::calc_projection_matrix(fov, viewport, znear, zfar));
requires noexcept(T::calc_projection_matrix(fov, viewport, znear, zfar, ndc_depth_range));
};
template<class Mat4X4Type, class ViewAnglesType, class TraitClass, bool inverted_z = false>
template<class Mat4X4Type, class ViewAnglesType, class TraitClass, bool inverted_z = false,
NDCDepthRange depth_range = NDCDepthRange::NEGATIVE_ONE_TO_ONE>
requires CameraEngineConcept<TraitClass, Mat4X4Type, ViewAnglesType>
class Camera final
{
@@ -135,7 +138,8 @@ namespace omath::projection
{
if (!m_projection_matrix.has_value())
m_projection_matrix = TraitClass::calc_projection_matrix(m_field_of_view, m_view_port,
m_near_plane_distance, m_far_plane_distance);
m_near_plane_distance, m_far_plane_distance,
depth_range);
return m_projection_matrix.value();
}
@@ -271,18 +275,94 @@ namespace omath::projection
return a[axis] < -a[3] && b[axis] < -b[3] && c[axis] < -c[3];
};
// Clip volume in clip space (OpenGL-style):
// Clip volume in clip space:
// -w <= x <= w
// -w <= y <= w
// -w <= z <= w
// z_min <= z <= w (z_min = -w for [-1,1], 0 for [0,1])
for (int i = 0; i < 3; i++)
// x and y planes
for (int i = 0; i < 2; i++)
{
if (all_outside_plane(i, c0, c1, c2, false))
return true; // x < -w (left)
return true;
if (all_outside_plane(i, c0, c1, c2, true))
return true; // x > w (right)
return true;
}
// z far plane: z > w
if (all_outside_plane(2, c0, c1, c2, true))
return true;
// z near plane
if constexpr (depth_range == NDCDepthRange::ZERO_TO_ONE)
{
// 0 <= z, so reject if z < 0 for all vertices
if (c0[2] < 0.f && c1[2] < 0.f && c2[2] < 0.f)
return true;
}
else
{
// -w <= z
if (all_outside_plane(2, c0, c1, c2, false))
return true;
}
return false;
}
[[nodiscard]] bool is_aabb_culled_by_frustum(const primitives::Aabb<float>& aabb) const noexcept
{
const auto& m = get_view_projection_matrix();
// Gribb-Hartmann: extract 6 frustum planes from the view-projection matrix.
// Each plane is (a, b, c, d) such that ax + by + cz + d >= 0 means inside.
// For a 4x4 matrix with rows r0..r3:
// Left = r3 + r0
// Right = r3 - r0
// Bottom = r3 + r1
// Top = r3 - r1
// Near = r3 + r2 ([-1,1]) or r2 ([0,1])
// Far = r3 - r2
struct Plane final
{
float a, b, c, d;
};
const auto extract_plane = [&m](const int sign, const int row) -> Plane
{
return {
m.at(3, 0) + static_cast<float>(sign) * m.at(row, 0),
m.at(3, 1) + static_cast<float>(sign) * m.at(row, 1),
m.at(3, 2) + static_cast<float>(sign) * m.at(row, 2),
m.at(3, 3) + static_cast<float>(sign) * m.at(row, 3),
};
};
std::array<Plane, 6> planes = {
extract_plane(1, 0), // left
extract_plane(-1, 0), // right
extract_plane(1, 1), // bottom
extract_plane(-1, 1), // top
extract_plane(-1, 2), // far
};
// Near plane depends on NDC depth range
if constexpr (depth_range == NDCDepthRange::ZERO_TO_ONE)
planes[5] = {m.at(2, 0), m.at(2, 1), m.at(2, 2), m.at(2, 3)};
else
planes[5] = extract_plane(1, 2);
// For each plane, find the AABB corner most in the direction of the plane normal
// (the "positive vertex"). If it's outside, the entire AABB is outside.
for (const auto& [a, b, c, d] : planes)
{
const float px = a >= 0.f ? aabb.max.x : aabb.min.x;
const float py = b >= 0.f ? aabb.max.y : aabb.min.y;
const float pz = c >= 0.f ? aabb.max.z : aabb.min.z;
if (a * px + b * py + c * pz + d < 0.f)
return true;
}
return false;
}
@@ -306,7 +386,8 @@ namespace omath::projection
return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
// ReSharper disable once CppTooWideScope
const auto clipped_manually = clipping == ViewPortClipping::MANUAL && (projected.at(2, 0) < 0.0f - eps
constexpr auto z_min = depth_range == NDCDepthRange::ZERO_TO_ONE ? 0.0f : -1.0f;
const auto clipped_manually = clipping == ViewPortClipping::MANUAL && (projected.at(2, 0) < z_min - eps
|| projected.at(2, 0) > 1.0f + eps);
if (clipped_manually)
return std::unexpected(Error::WORLD_POSITION_IS_OUT_OF_SCREEN_BOUNDS);
@@ -368,8 +449,26 @@ namespace omath::projection
[[nodiscard]] constexpr static bool is_ndc_out_of_bounds(const Type& ndc) noexcept
{
constexpr auto eps = std::numeric_limits<float>::epsilon();
return std::ranges::any_of(ndc.raw_array(),
[](const auto& val) { return val < -1.0f - eps || val > 1.0f + eps; });
const auto& data = ndc.raw_array();
// x and y are always in [-1, 1]
if (data[0] < -1.0f - eps || data[0] > 1.0f + eps)
return true;
if (data[1] < -1.0f - eps || data[1] > 1.0f + eps)
return true;
return is_ndc_z_value_out_of_bounds(data[2]);
}
template<class ZType>
[[nodiscard]]
constexpr static bool is_ndc_z_value_out_of_bounds(const ZType& z_ndc) noexcept
{
constexpr auto eps = std::numeric_limits<float>::epsilon();
if constexpr (depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return z_ndc < -1.0f - eps || z_ndc > 1.0f + eps;
if constexpr (depth_range == NDCDepthRange::ZERO_TO_ONE)
return z_ndc < 0.0f - eps || z_ndc > 1.0f + eps;
std::unreachable();
}
// NDC REPRESENTATION:

View File

@@ -35,8 +35,15 @@ namespace omath::cry_engine
* mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return mat_perspective_left_handed(field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
field_of_view, aspect_ratio, near, far);
std::unreachable();
}
} // namespace omath::unity_engine

View File

@@ -19,8 +19,9 @@ namespace omath::cry_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::unity_engine

View File

@@ -35,8 +35,16 @@ namespace omath::frostbite_engine
* mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return mat_perspective_left_handed(field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
field_of_view, aspect_ratio, near, far);
std::unreachable();
}
} // namespace omath::unity_engine

View File

@@ -19,8 +19,9 @@ namespace omath::frostbite_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::unity_engine

View File

@@ -36,18 +36,27 @@ namespace omath::iw_engine
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
// NOTE: Need magic number to fix fov calculation, since IW engine inherit Quake proj matrix calculation
constexpr auto k_multiply_factor = 0.75f;
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f) * k_multiply_factor;
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, (far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, 1, 0},
};
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, far / (far - near), -(near * far) / (far - near)},
{0, 0, 1, 0},
};
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, (far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, 1, 0},
};
std::unreachable();
};
} // namespace omath::iw_engine

View File

@@ -19,8 +19,9 @@ namespace omath::iw_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::iw_engine

View File

@@ -8,15 +8,15 @@ namespace omath::opengl_engine
Vector3<float> forward_vector(const ViewAngles& angles) noexcept
{
const auto vec
= rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_forward);
const auto vec =
rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_forward);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
Vector3<float> right_vector(const ViewAngles& angles) noexcept
{
const auto vec
= rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_right);
const auto vec =
rotation_matrix(angles) * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>(k_abs_right);
return {vec.at(0, 0), vec.at(1, 0), vec.at(2, 0)};
}
@@ -28,7 +28,7 @@ namespace omath::opengl_engine
}
Mat4X4 calc_view_matrix(const ViewAngles& angles, const Vector3<float>& cam_origin) noexcept
{
return mat_look_at_right_handed(cam_origin, cam_origin+forward_vector(angles), up_vector(angles));
return mat_look_at_right_handed(cam_origin, cam_origin + forward_vector(angles), up_vector(angles));
}
Mat4X4 rotation_matrix(const ViewAngles& angles) noexcept
{
@@ -37,15 +37,16 @@ namespace omath::opengl_engine
* mat_rotation_axis_x<float, MatStoreType::COLUMN_MAJOR>(angles.pitch);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f);
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return mat_perspective_right_handed<float, MatStoreType::COLUMN_MAJOR, NDCDepthRange::NEGATIVE_ONE_TO_ONE>(
field_of_view, aspect_ratio, near, far);
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, -(far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, -1, 0},
};
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return mat_perspective_right_handed<float, MatStoreType::COLUMN_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
field_of_view, aspect_ratio, near, far);
std::unreachable();
}
} // namespace omath::opengl_engine

View File

@@ -20,8 +20,9 @@ namespace omath::opengl_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::opengl_engine

View File

@@ -36,18 +36,27 @@ namespace omath::source_engine
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
// NOTE: Need magic number to fix fov calculation, since source inherit Quake proj matrix calculation
constexpr auto k_multiply_factor = 0.75f;
const float fov_half_tan = std::tan(angles::degrees_to_radians(field_of_view) / 2.f) * k_multiply_factor;
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, (far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, 1, 0},
};
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, far / (far - near), -(near * far) / (far - near)},
{0, 0, 1, 0},
};
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return {
{1.f / (aspect_ratio * fov_half_tan), 0, 0, 0},
{0, 1.f / (fov_half_tan), 0, 0},
{0, 0, (far + near) / (far - near), -(2.f * far * near) / (far - near)},
{0, 0, 1, 0},
};
std::unreachable();
}
} // namespace omath::source_engine

View File

@@ -20,8 +20,9 @@ namespace omath::source_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::source_engine

View File

@@ -35,8 +35,15 @@ namespace omath::unity_engine
* mat_rotation_axis_x<float, MatStoreType::ROW_MAJOR>(angles.pitch);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return omath::mat_perspective_right_handed(field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return omath::mat_perspective_right_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
field_of_view, aspect_ratio, near, far);
if (ndc_depth_range == NDCDepthRange::NEGATIVE_ONE_TO_ONE)
return omath::mat_perspective_right_handed<float, MatStoreType::ROW_MAJOR,
NDCDepthRange::NEGATIVE_ONE_TO_ONE>(field_of_view, aspect_ratio,
near, far);
std::unreachable();
}
} // namespace omath::unity_engine

View File

@@ -19,8 +19,9 @@ namespace omath::unity_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::unity_engine

View File

@@ -35,8 +35,12 @@ namespace omath::unreal_engine
* mat_rotation_axis_y<float, MatStoreType::ROW_MAJOR>(angles.pitch);
}
Mat4X4 calc_perspective_projection_matrix(const float field_of_view, const float aspect_ratio, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
if (ndc_depth_range == NDCDepthRange::ZERO_TO_ONE)
return mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
field_of_view, aspect_ratio, near, far);
return mat_perspective_left_handed(field_of_view, aspect_ratio, near, far);
}
} // namespace omath::unreal_engine

View File

@@ -19,8 +19,9 @@ namespace omath::unreal_engine
}
Mat4X4 CameraTrait::calc_projection_matrix(const projection::FieldOfView& fov,
const projection::ViewPort& view_port, const float near,
const float far) noexcept
const float far, const NDCDepthRange ndc_depth_range) noexcept
{
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far);
return calc_perspective_projection_matrix(fov.as_degrees(), view_port.aspect_ratio(), near, far,
ndc_depth_range);
}
} // namespace omath::unreal_engine

View File

@@ -21,6 +21,9 @@
#include <omath/engines/unreal_engine/traits/camera_trait.hpp>
#include <omath/engines/source_engine/traits/pred_engine_trait.hpp>
#include <omath/engines/source_engine/traits/camera_trait.hpp>
#include <omath/engines/cry_engine/traits/camera_trait.hpp>
#include <omath/projectile_prediction/projectile.hpp>
#include <omath/projectile_prediction/target.hpp>
@@ -218,9 +221,14 @@ TEST(TraitTests, Frostbite_Pred_And_Mesh_And_Camera)
// CameraTrait look at should be callable
const auto angles = e::CameraTrait::calc_look_at_angle({0, 0, 0}, {0, 1, 1});
(void)angles;
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f);
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f);
expect_matrix_near(proj, expected);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj, proj_zo);
}
TEST(TraitTests, IW_Pred_And_Mesh_And_Camera)
@@ -264,10 +272,15 @@ TEST(TraitTests, IW_Pred_And_Mesh_And_Camera)
e::ViewAngles va;
expect_matrix_near(e::MeshTrait::rotation_matrix(va), e::rotation_matrix(va));
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(45.f), {1920.f, 1080.f}, 0.1f, 1000.f);
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(45.f), {1920.f, 1080.f}, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected = e::calc_perspective_projection_matrix(45.f, 1920.f / 1080.f, 0.1f, 1000.f);
expect_matrix_near(proj, expected);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(45.f), {1920.f, 1080.f}, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(45.f, 1920.f / 1080.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj, proj_zo);
// non-airborne
t.m_is_airborne = false;
const auto pred_ground_iw = e::PredEngineTrait::predict_target_position(t, 2.f, 9.81f);
@@ -314,10 +327,15 @@ TEST(TraitTests, OpenGL_Pred_And_Mesh_And_Camera)
e::ViewAngles va;
expect_matrix_near(e::MeshTrait::rotation_matrix(va), e::rotation_matrix(va));
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f);
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f);
expect_matrix_near(proj, expected);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj, proj_zo);
// non-airborne
t.m_is_airborne = false;
const auto pred_ground_gl = e::PredEngineTrait::predict_target_position(t, 2.f, 9.81f);
@@ -364,10 +382,15 @@ TEST(TraitTests, Unity_Pred_And_Mesh_And_Camera)
e::ViewAngles va;
expect_matrix_near(e::MeshTrait::rotation_matrix(va), e::rotation_matrix(va));
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f);
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f);
expect_matrix_near(proj, expected);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj, proj_zo);
// non-airborne
t.m_is_airborne = false;
const auto pred_ground_unity = e::PredEngineTrait::predict_target_position(t, 2.f, 9.81f);
@@ -414,12 +437,237 @@ TEST(TraitTests, Unreal_Pred_And_Mesh_And_Camera)
e::ViewAngles va;
expect_matrix_near(e::MeshTrait::rotation_matrix(va), e::rotation_matrix(va));
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f);
const auto proj = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f);
expect_matrix_near(proj, expected);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(projection::FieldOfView::from_degrees(60.f), {1280.f, 720.f}, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(60.f, 1280.f / 720.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj, proj_zo);
// non-airborne
t.m_is_airborne = false;
const auto pred_ground_unreal = e::PredEngineTrait::predict_target_position(t, 2.f, 9.81f);
EXPECT_NEAR(pred_ground_unreal.x, 4.f, 1e-6f);
}
// ── NDC Depth Range tests for Source and CryEngine camera traits ────────────
TEST(NDCDepthRangeTests, Source_BothDepthRanges)
{
namespace e = omath::source_engine;
const auto proj_no = e::CameraTrait::calc_projection_matrix(
projection::FieldOfView::from_degrees(90.f), {1920.f, 1080.f}, 0.1f, 1000.f,
NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected_no = e::calc_perspective_projection_matrix(
90.f, 1920.f / 1080.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
expect_matrix_near(proj_no, expected_no);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(
projection::FieldOfView::from_degrees(90.f), {1920.f, 1080.f}, 0.1f, 1000.f,
NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(
90.f, 1920.f / 1080.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj_no, proj_zo);
}
TEST(NDCDepthRangeTests, CryEngine_BothDepthRanges)
{
namespace e = omath::cry_engine;
const auto proj_no = e::CameraTrait::calc_projection_matrix(
projection::FieldOfView::from_degrees(90.f), {1920.f, 1080.f}, 0.1f, 1000.f,
NDCDepthRange::NEGATIVE_ONE_TO_ONE);
const auto expected_no = e::calc_perspective_projection_matrix(
90.f, 1920.f / 1080.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
expect_matrix_near(proj_no, expected_no);
const auto proj_zo = e::CameraTrait::calc_projection_matrix(
projection::FieldOfView::from_degrees(90.f), {1920.f, 1080.f}, 0.1f, 1000.f,
NDCDepthRange::ZERO_TO_ONE);
const auto expected_zo = e::calc_perspective_projection_matrix(
90.f, 1920.f / 1080.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
expect_matrix_near(proj_zo, expected_zo);
EXPECT_NE(proj_no, proj_zo);
}
// ── Verify Z mapping for ZERO_TO_ONE across all engines ─────────────────────
// Helper: projects a point at given z through a left-handed projection matrix and returns NDC z
static float project_z_lh(const Mat<4, 4>& proj, float z)
{
auto clip = proj * mat_column_from_vector<float>({0, 0, z});
return clip.at(2, 0) / clip.at(3, 0);
}
TEST(NDCDepthRangeTests, Source_ZeroToOne_ZRange)
{
namespace e = omath::source_engine;
// Source is left-handed
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-4f);
EXPECT_GT(project_z_lh(proj, 500.f), 0.0f);
EXPECT_LT(project_z_lh(proj, 500.f), 1.0f);
}
TEST(NDCDepthRangeTests, IW_ZeroToOne_ZRange)
{
namespace e = omath::iw_engine;
// IW is left-handed
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-4f);
EXPECT_GT(project_z_lh(proj, 500.f), 0.0f);
EXPECT_LT(project_z_lh(proj, 500.f), 1.0f);
}
TEST(NDCDepthRangeTests, OpenGL_ZeroToOne_ZRange)
{
namespace e = omath::opengl_engine;
// OpenGL is right-handed (negative z forward), column-major
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
// OpenGL engine uses column-major matrices, project manually
auto proj_z = [&](float z) {
auto clip = proj * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>({0, 0, z});
return clip.at(2, 0) / clip.at(3, 0);
};
EXPECT_NEAR(proj_z(-0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(proj_z(-1000.f), 1.0f, 1e-4f);
EXPECT_GT(proj_z(-500.f), 0.0f);
EXPECT_LT(proj_z(-500.f), 1.0f);
}
TEST(NDCDepthRangeTests, Frostbite_ZeroToOne_ZRange)
{
namespace e = omath::frostbite_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-4f);
EXPECT_GT(project_z_lh(proj, 500.f), 0.0f);
EXPECT_LT(project_z_lh(proj, 500.f), 1.0f);
}
TEST(NDCDepthRangeTests, Unity_ZeroToOne_ZRange)
{
namespace e = omath::unity_engine;
// Unity is right-handed, row-major
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
auto proj_z = [&](float z) {
auto clip = proj * mat_column_from_vector<float>({0, 0, z});
return clip.at(2, 0) / clip.at(3, 0);
};
EXPECT_NEAR(proj_z(-0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(proj_z(-1000.f), 1.0f, 1e-4f);
EXPECT_GT(proj_z(-500.f), 0.0f);
EXPECT_LT(proj_z(-500.f), 1.0f);
}
TEST(NDCDepthRangeTests, Unreal_ZeroToOne_ZRange)
{
namespace e = omath::unreal_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-4f);
EXPECT_GT(project_z_lh(proj, 500.f), 0.0f);
EXPECT_LT(project_z_lh(proj, 500.f), 1.0f);
}
TEST(NDCDepthRangeTests, CryEngine_ZeroToOne_ZRange)
{
namespace e = omath::cry_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::ZERO_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), 0.0f, 1e-4f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-4f);
EXPECT_GT(project_z_lh(proj, 500.f), 0.0f);
EXPECT_LT(project_z_lh(proj, 500.f), 1.0f);
}
// ── Verify Z mapping for NEGATIVE_ONE_TO_ONE across all engines ─────────────
TEST(NDCDepthRangeTests, Source_NegativeOneToOne_ZRange)
{
namespace e = omath::source_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, IW_NegativeOneToOne_ZRange)
{
namespace e = omath::iw_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, Frostbite_NegativeOneToOne_ZRange)
{
namespace e = omath::frostbite_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, Unreal_NegativeOneToOne_ZRange)
{
namespace e = omath::unreal_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, CryEngine_NegativeOneToOne_ZRange)
{
namespace e = omath::cry_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
EXPECT_NEAR(project_z_lh(proj, 0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(project_z_lh(proj, 1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, OpenGL_NegativeOneToOne_ZRange)
{
namespace e = omath::opengl_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
auto proj_z = [&](float z) {
auto clip = proj * mat_column_from_vector<float, MatStoreType::COLUMN_MAJOR>({0, 0, z});
return clip.at(2, 0) / clip.at(3, 0);
};
EXPECT_NEAR(proj_z(-0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(proj_z(-1000.f), 1.0f, 1e-3f);
}
TEST(NDCDepthRangeTests, Unity_NegativeOneToOne_ZRange)
{
namespace e = omath::unity_engine;
const auto proj = e::calc_perspective_projection_matrix(90.f, 16.f / 9.f, 0.1f, 1000.f, NDCDepthRange::NEGATIVE_ONE_TO_ONE);
auto proj_z = [&](float z) {
auto clip = proj * mat_column_from_vector<float>({0, 0, z});
return clip.at(2, 0) / clip.at(3, 0);
};
EXPECT_NEAR(proj_z(-0.1f), -1.0f, 1e-3f);
EXPECT_NEAR(proj_z(-1000.f), 1.0f, 1e-3f);
}

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//
// Created by Orange on 04/08/2026.
//
#include <gtest/gtest.h>
#include <omath/collision/bvh_tree.hpp>
#include <algorithm>
#include <random>
#include <set>
using Aabb = omath::primitives::Aabb<float>;
using BvhTree = omath::collision::BvhTree<float>;
using Ray = omath::collision::Ray<>;
using HitResult = BvhTree::HitResult;
using AabbD = omath::primitives::Aabb<double>;
using BvhTreeD = omath::collision::BvhTree<double>;
// ============================================================================
// Helper: brute-force overlap query for verification
// ============================================================================
static std::set<std::size_t> brute_force_overlaps(const std::vector<Aabb>& aabbs, const Aabb& query)
{
std::set<std::size_t> result;
for (std::size_t i = 0; i < aabbs.size(); ++i)
{
if (query.min.x <= aabbs[i].max.x && query.max.x >= aabbs[i].min.x
&& query.min.y <= aabbs[i].max.y && query.max.y >= aabbs[i].min.y
&& query.min.z <= aabbs[i].max.z && query.max.z >= aabbs[i].min.z)
result.insert(i);
}
return result;
}
// ============================================================================
// Construction tests
// ============================================================================
TEST(UnitTestBvhTree, EmptyTree)
{
const BvhTree tree;
EXPECT_TRUE(tree.empty());
EXPECT_EQ(tree.node_count(), 0);
EXPECT_TRUE(tree.query_overlaps({}).empty());
}
TEST(UnitTestBvhTree, EmptySpan)
{
const std::vector<Aabb> empty;
const BvhTree tree(empty);
EXPECT_TRUE(tree.empty());
EXPECT_EQ(tree.node_count(), 0);
}
TEST(UnitTestBvhTree, SingleElement)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}}
};
const BvhTree tree(aabbs);
EXPECT_FALSE(tree.empty());
EXPECT_EQ(tree.node_count(), 1);
const auto results = tree.query_overlaps({{0.5f, 0.5f, 0.5f}, {1.5f, 1.5f, 1.5f}});
ASSERT_EQ(results.size(), 1);
EXPECT_EQ(results[0], 0);
const auto miss = tree.query_overlaps({{5.f, 5.f, 5.f}, {6.f, 6.f, 6.f}});
EXPECT_TRUE(miss.empty());
}
TEST(UnitTestBvhTree, TwoElements)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{5.f, 5.f, 5.f}, {6.f, 6.f, 6.f}},
};
const BvhTree tree(aabbs);
EXPECT_FALSE(tree.empty());
// Hit first only
auto r = tree.query_overlaps({{-0.5f, -0.5f, -0.5f}, {0.5f, 0.5f, 0.5f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
// Hit second only
r = tree.query_overlaps({{5.5f, 5.5f, 5.5f}, {7.f, 7.f, 7.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 1);
// Hit both
r = tree.query_overlaps({{-1.f, -1.f, -1.f}, {10.f, 10.f, 10.f}});
EXPECT_EQ(r.size(), 2);
}
TEST(UnitTestBvhTree, ThreeElements)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{2.f, 2.f, 2.f}, {3.f, 3.f, 3.f}},
{{10.f, 10.f, 10.f}, {11.f, 11.f, 11.f}},
};
const BvhTree tree(aabbs);
const auto results = tree.query_overlaps({{0.5f, 0.5f, 0.5f}, {2.5f, 2.5f, 2.5f}});
EXPECT_EQ(results.size(), 2);
const auto far = tree.query_overlaps({{9.5f, 9.5f, 9.5f}, {10.5f, 10.5f, 10.5f}});
ASSERT_EQ(far.size(), 1);
EXPECT_EQ(far[0], 2);
}
TEST(UnitTestBvhTree, NodeCountGrowsSublinearly)
{
// For N objects, node count should be at most 2N-1
std::vector<Aabb> aabbs;
for (int i = 0; i < 100; ++i)
{
const auto f = static_cast<float>(i) * 3.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
EXPECT_LE(tree.node_count(), 2 * aabbs.size());
}
// ============================================================================
// Overlap query tests
// ============================================================================
TEST(UnitTestBvhTree, OverlapExactTouch)
{
// Two boxes share exactly one face
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{1.f, 0.f, 0.f}, {2.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
// Query exactly at the shared face — should overlap both
const auto r = tree.query_overlaps({{0.5f, 0.f, 0.f}, {1.5f, 1.f, 1.f}});
EXPECT_EQ(r.size(), 2);
}
TEST(UnitTestBvhTree, OverlapEdgeTouch)
{
// Query AABB edge-touches an object AABB
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
// Touching at corner point (1,1,1)
const auto r = tree.query_overlaps({{1.f, 1.f, 1.f}, {2.f, 2.f, 2.f}});
EXPECT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, OverlapQueryInsideObject)
{
// Query is fully inside an object
const std::vector<Aabb> aabbs = {
{{-10.f, -10.f, -10.f}, {10.f, 10.f, 10.f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
}
TEST(UnitTestBvhTree, OverlapObjectInsideQuery)
{
// Object is fully inside the query
const std::vector<Aabb> aabbs = {
{{4.f, 4.f, 4.f}, {5.f, 5.f, 5.f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {10.f, 10.f, 10.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
}
TEST(UnitTestBvhTree, OverlapMissOnSingleAxis)
{
// Overlap on X and Y but not Z
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, 5.f}, {1.f, 1.f, 6.f}});
EXPECT_TRUE(r.empty());
}
TEST(UnitTestBvhTree, OverlapNegativeCoordinates)
{
const std::vector<Aabb> aabbs = {
{{-5.f, -5.f, -5.f}, {-3.f, -3.f, -3.f}},
{{-2.f, -2.f, -2.f}, {0.f, 0.f, 0.f}},
{{1.f, 1.f, 1.f}, {3.f, 3.f, 3.f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-6.f, -6.f, -6.f}, {-4.f, -4.f, -4.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
}
TEST(UnitTestBvhTree, OverlapMixedNegativePositive)
{
const std::vector<Aabb> aabbs = {
{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
// Query spans negative and positive
const auto r = tree.query_overlaps({{-0.5f, -0.5f, -0.5f}, {0.5f, 0.5f, 0.5f}});
ASSERT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, OverlapNoHitsAmongMany)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 50; ++i)
{
const auto f = static_cast<float>(i) * 5.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
// Query far from all objects
const auto r = tree.query_overlaps({{-100.f, -100.f, -100.f}, {-90.f, -90.f, -90.f}});
EXPECT_TRUE(r.empty());
}
TEST(UnitTestBvhTree, OverlapAllObjects)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 64; ++i)
{
const auto f = static_cast<float>(i);
aabbs.push_back({{f, f, f}, {f + 0.5f, f + 0.5f, f + 0.5f}});
}
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-1.f, -1.f, -1.f}, {100.f, 100.f, 100.f}});
EXPECT_EQ(r.size(), 64);
}
TEST(UnitTestBvhTree, OverlapReturnsCorrectIndices)
{
// Specific index verification
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}}, // 0
{{10.f, 0.f, 0.f}, {11.f, 1.f, 1.f}}, // 1
{{20.f, 0.f, 0.f}, {21.f, 1.f, 1.f}}, // 2
{{30.f, 0.f, 0.f}, {31.f, 1.f, 1.f}}, // 3
{{40.f, 0.f, 0.f}, {41.f, 1.f, 1.f}}, // 4
};
const BvhTree tree(aabbs);
// Hit only index 2
auto r = tree.query_overlaps({{19.5f, -1.f, -1.f}, {20.5f, 2.f, 2.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 2);
// Hit only index 4
r = tree.query_overlaps({{39.5f, -1.f, -1.f}, {40.5f, 2.f, 2.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 4);
}
// ============================================================================
// Spatial distribution tests
// ============================================================================
TEST(UnitTestBvhTree, ObjectsAlongXAxis)
{
// All objects on a line along X
std::vector<Aabb> aabbs;
for (int i = 0; i < 20; ++i)
{
const auto f = static_cast<float>(i) * 4.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}});
EXPECT_EQ(r.size(), 1);
const auto mid = tree.query_overlaps({{7.5f, -1.f, -1.f}, {8.5f, 2.f, 2.f}});
EXPECT_EQ(mid.size(), 1);
}
TEST(UnitTestBvhTree, ObjectsAlongYAxis)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 20; ++i)
{
const auto f = static_cast<float>(i) * 4.f;
aabbs.push_back({{0.f, f, 0.f}, {1.f, f + 1.f, 1.f}});
}
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-1.f, 38.f, -1.f}, {2.f, 40.f, 2.f}});
EXPECT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, ObjectsAlongZAxis)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 20; ++i)
{
const auto f = static_cast<float>(i) * 4.f;
aabbs.push_back({{0.f, 0.f, f}, {1.f, 1.f, f + 1.f}});
}
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-1.f, -1.f, 38.f}, {2.f, 2.f, 40.f}});
EXPECT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, ObjectsInPlaneXY)
{
// Grid in the XY plane
std::vector<Aabb> aabbs;
for (int x = 0; x < 10; ++x)
for (int y = 0; y < 10; ++y)
{
const auto fx = static_cast<float>(x) * 3.f;
const auto fy = static_cast<float>(y) * 3.f;
aabbs.push_back({{fx, fy, 0.f}, {fx + 1.f, fy + 1.f, 1.f}});
}
const BvhTree tree(aabbs);
EXPECT_EQ(tree.query_overlaps({{-1.f, -1.f, -1.f}, {100.f, 100.f, 2.f}}).size(), 100);
// Single cell query
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {0.5f, 0.5f, 0.5f}});
EXPECT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, ClusteredObjects)
{
// Two clusters far apart
std::vector<Aabb> aabbs;
for (int i = 0; i < 25; ++i)
{
const auto f = static_cast<float>(i) * 0.5f;
aabbs.push_back({{f, f, f}, {f + 0.4f, f + 0.4f, f + 0.4f}});
}
for (int i = 0; i < 25; ++i)
{
const auto f = 100.f + static_cast<float>(i) * 0.5f;
aabbs.push_back({{f, f, f}, {f + 0.4f, f + 0.4f, f + 0.4f}});
}
const BvhTree tree(aabbs);
// Query near first cluster
const auto r1 = tree.query_overlaps({{-1.f, -1.f, -1.f}, {15.f, 15.f, 15.f}});
EXPECT_EQ(r1.size(), 25);
// Query near second cluster
const auto r2 = tree.query_overlaps({{99.f, 99.f, 99.f}, {115.f, 115.f, 115.f}});
EXPECT_EQ(r2.size(), 25);
// Query between clusters — should find nothing
const auto gap = tree.query_overlaps({{50.f, 50.f, 50.f}, {60.f, 60.f, 60.f}});
EXPECT_TRUE(gap.empty());
}
TEST(UnitTestBvhTree, OverlappingObjects)
{
// Objects that overlap each other
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {2.f, 2.f, 2.f}},
{{1.f, 1.f, 1.f}, {3.f, 3.f, 3.f}},
{{1.5f, 1.5f, 1.5f}, {4.f, 4.f, 4.f}},
};
const BvhTree tree(aabbs);
// Query at the overlap region of all three
const auto r = tree.query_overlaps({{1.5f, 1.5f, 1.5f}, {2.f, 2.f, 2.f}});
EXPECT_EQ(r.size(), 3);
}
TEST(UnitTestBvhTree, IdenticalObjects)
{
// All objects at the same position
std::vector<Aabb> aabbs;
for (int i = 0; i < 10; ++i)
aabbs.push_back({{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}});
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}});
EXPECT_EQ(r.size(), 10);
}
TEST(UnitTestBvhTree, DegenerateThickPlanes)
{
// Very flat AABBs (thickness ~0 in one axis)
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {10.f, 10.f, 0.001f}},
{{0.f, 0.f, 5.f}, {10.f, 10.f, 5.001f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, -0.01f}, {10.f, 10.f, 0.01f}});
ASSERT_EQ(r.size(), 1);
}
TEST(UnitTestBvhTree, VaryingSizes)
{
// Objects of wildly different sizes
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {0.01f, 0.01f, 0.01f}}, // tiny
{{-500.f, -500.f, -500.f}, {500.f, 500.f, 500.f}}, // huge
{{10.f, 10.f, 10.f}, {11.f, 11.f, 11.f}}, // normal
};
const BvhTree tree(aabbs);
// The huge box should overlap almost any query
auto r = tree.query_overlaps({{200.f, 200.f, 200.f}, {201.f, 201.f, 201.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 1);
// Query at origin hits the tiny and the huge
r = tree.query_overlaps({{-0.1f, -0.1f, -0.1f}, {0.1f, 0.1f, 0.1f}});
EXPECT_EQ(r.size(), 2);
}
// ============================================================================
// Ray query tests
// ============================================================================
TEST(UnitTestBvhTree, RayQueryBasic)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{5.f, 0.f, 0.f}, {6.f, 1.f, 1.f}},
{{0.f, 5.f, 0.f}, {1.f, 6.f, 1.f}},
};
const BvhTree tree(aabbs);
Ray ray;
ray.start = {-1.f, 0.5f, 0.5f};
ray.end = {10.f, 0.5f, 0.5f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_GE(hits.size(), 2);
if (hits.size() >= 2)
EXPECT_LE(hits[0].distance_sqr, hits[1].distance_sqr);
}
TEST(UnitTestBvhTree, RayQueryMissesAll)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{5.f, 0.f, 0.f}, {6.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
// Ray above everything
Ray ray;
ray.start = {-1.f, 100.f, 0.5f};
ray.end = {10.f, 100.f, 0.5f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_TRUE(hits.empty());
}
TEST(UnitTestBvhTree, RayQueryAlongY)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{0.f, 5.f, 0.f}, {1.f, 6.f, 1.f}},
{{0.f, 10.f, 0.f}, {1.f, 11.f, 1.f}},
};
const BvhTree tree(aabbs);
Ray ray;
ray.start = {0.5f, -1.f, 0.5f};
ray.end = {0.5f, 20.f, 0.5f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_EQ(hits.size(), 3);
// Verify sorted by distance
for (std::size_t i = 1; i < hits.size(); ++i)
EXPECT_LE(hits[i - 1].distance_sqr, hits[i].distance_sqr);
}
TEST(UnitTestBvhTree, RayQueryAlongZ)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{0.f, 0.f, 10.f}, {1.f, 1.f, 11.f}},
};
const BvhTree tree(aabbs);
Ray ray;
ray.start = {0.5f, 0.5f, -5.f};
ray.end = {0.5f, 0.5f, 20.f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_EQ(hits.size(), 2);
}
TEST(UnitTestBvhTree, RayQueryDiagonal)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{5.f, 5.f, 5.f}, {6.f, 6.f, 6.f}},
{{10.f, 10.f, 10.f}, {11.f, 11.f, 11.f}},
};
const BvhTree tree(aabbs);
// Diagonal ray through all three
Ray ray;
ray.start = {-1.f, -1.f, -1.f};
ray.end = {15.f, 15.f, 15.f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_EQ(hits.size(), 3);
}
TEST(UnitTestBvhTree, RayQueryOnEmptyTree)
{
const BvhTree tree;
Ray ray;
ray.start = {0.f, 0.f, 0.f};
ray.end = {10.f, 0.f, 0.f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_TRUE(hits.empty());
}
TEST(UnitTestBvhTree, RayQuerySortedByDistance)
{
// Many boxes along a line
std::vector<Aabb> aabbs;
for (int i = 0; i < 20; ++i)
{
const auto f = static_cast<float>(i) * 3.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
Ray ray;
ray.start = {-1.f, 0.5f, 0.5f};
ray.end = {100.f, 0.5f, 0.5f};
ray.infinite_length = true;
const auto hits = tree.query_ray(ray);
EXPECT_EQ(hits.size(), 20);
for (std::size_t i = 1; i < hits.size(); ++i)
EXPECT_LE(hits[i - 1].distance_sqr, hits[i].distance_sqr);
}
// ============================================================================
// Brute-force verification tests
// ============================================================================
TEST(UnitTestBvhTree, BruteForceVerificationGrid)
{
std::vector<Aabb> aabbs;
for (int x = 0; x < 10; ++x)
for (int y = 0; y < 10; ++y)
for (int z = 0; z < 10; ++z)
{
const auto fx = static_cast<float>(x) * 3.f;
const auto fy = static_cast<float>(y) * 3.f;
const auto fz = static_cast<float>(z) * 3.f;
aabbs.push_back({{fx, fy, fz}, {fx + 1.f, fy + 1.f, fz + 1.f}});
}
const BvhTree tree(aabbs);
// Test several queries and compare to brute force
const std::vector<Aabb> queries = {
{{0.f, 0.f, 0.f}, {1.5f, 1.5f, 1.5f}},
{{-1.f, -1.f, -1.f}, {100.f, 100.f, 100.f}},
{{13.f, 13.f, 13.f}, {14.f, 14.f, 14.f}},
{{-50.f, -50.f, -50.f}, {-40.f, -40.f, -40.f}},
{{5.5f, 5.5f, 5.5f}, {7.5f, 7.5f, 7.5f}},
};
for (const auto& q : queries)
{
const auto bvh_results = tree.query_overlaps(q);
const auto brute_results = brute_force_overlaps(aabbs, q);
const std::set<std::size_t> bvh_set(bvh_results.begin(), bvh_results.end());
EXPECT_EQ(bvh_set, brute_results)
<< "Mismatch for query [(" << q.min.x << "," << q.min.y << "," << q.min.z
<< ") -> (" << q.max.x << "," << q.max.y << "," << q.max.z << ")]";
}
}
TEST(UnitTestBvhTree, BruteForceVerificationRandom)
{
std::mt19937 rng(42);
std::uniform_real_distribution<float> pos_dist(-50.f, 50.f);
std::uniform_real_distribution<float> size_dist(0.5f, 3.f);
std::vector<Aabb> aabbs;
for (int i = 0; i < 200; ++i)
{
const auto x = pos_dist(rng);
const auto y = pos_dist(rng);
const auto z = pos_dist(rng);
const auto sx = size_dist(rng);
const auto sy = size_dist(rng);
const auto sz = size_dist(rng);
aabbs.push_back({{x, y, z}, {x + sx, y + sy, z + sz}});
}
const BvhTree tree(aabbs);
// Run 50 random queries
for (int i = 0; i < 50; ++i)
{
const auto qx = pos_dist(rng);
const auto qy = pos_dist(rng);
const auto qz = pos_dist(rng);
const auto qsx = size_dist(rng);
const auto qsy = size_dist(rng);
const auto qsz = size_dist(rng);
const Aabb query = {{qx, qy, qz}, {qx + qsx, qy + qsy, qz + qsz}};
const auto bvh_results = tree.query_overlaps(query);
const auto brute_results = brute_force_overlaps(aabbs, query);
const std::set<std::size_t> bvh_set(bvh_results.begin(), bvh_results.end());
EXPECT_EQ(bvh_set, brute_results) << "Mismatch on random query iteration " << i;
}
}
// ============================================================================
// Large dataset tests
// ============================================================================
TEST(UnitTestBvhTree, LargeGridDataset)
{
std::vector<Aabb> aabbs;
for (int x = 0; x < 10; ++x)
for (int y = 0; y < 10; ++y)
for (int z = 0; z < 10; ++z)
{
const auto fx = static_cast<float>(x) * 3.f;
const auto fy = static_cast<float>(y) * 3.f;
const auto fz = static_cast<float>(z) * 3.f;
aabbs.push_back({{fx, fy, fz}, {fx + 1.f, fy + 1.f, fz + 1.f}});
}
const BvhTree tree(aabbs);
EXPECT_FALSE(tree.empty());
const auto results = tree.query_overlaps({{0.f, 0.f, 0.f}, {1.5f, 1.5f, 1.5f}});
EXPECT_EQ(results.size(), 1);
const auto all_results = tree.query_overlaps({{-1.f, -1.f, -1.f}, {100.f, 100.f, 100.f}});
EXPECT_EQ(all_results.size(), 1000);
}
TEST(UnitTestBvhTree, FiveThousandObjects)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 5000; ++i)
{
const auto f = static_cast<float>(i) * 2.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
EXPECT_FALSE(tree.empty());
// Query that should hit exactly 1
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {0.5f, 0.5f, 0.5f}});
EXPECT_EQ(r.size(), 1);
// Query that misses
const auto miss = tree.query_overlaps({{-100.f, -100.f, -100.f}, {-90.f, -90.f, -90.f}});
EXPECT_TRUE(miss.empty());
}
// ============================================================================
// Double precision tests
// ============================================================================
TEST(UnitTestBvhTree, DoublePrecision)
{
const std::vector<AabbD> aabbs = {
{{0.0, 0.0, 0.0}, {1.0, 1.0, 1.0}},
{{5.0, 5.0, 5.0}, {6.0, 6.0, 6.0}},
{{10.0, 10.0, 10.0}, {11.0, 11.0, 11.0}},
};
const BvhTreeD tree(aabbs);
EXPECT_FALSE(tree.empty());
const auto r = tree.query_overlaps({{0.5, 0.5, 0.5}, {1.5, 1.5, 1.5}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
const auto r2 = tree.query_overlaps({{4.5, 4.5, 4.5}, {5.5, 5.5, 5.5}});
ASSERT_EQ(r2.size(), 1);
EXPECT_EQ(r2[0], 1);
}
TEST(UnitTestBvhTree, DoublePrecisionLargeCoordinates)
{
const std::vector<AabbD> aabbs = {
{{1e10, 1e10, 1e10}, {1e10 + 1.0, 1e10 + 1.0, 1e10 + 1.0}},
{{-1e10, -1e10, -1e10}, {-1e10 + 1.0, -1e10 + 1.0, -1e10 + 1.0}},
};
const BvhTreeD tree(aabbs);
const auto r = tree.query_overlaps({{1e10 - 0.5, 1e10 - 0.5, 1e10 - 0.5},
{1e10 + 0.5, 1e10 + 0.5, 1e10 + 0.5}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
}
// ============================================================================
// Edge case tests
// ============================================================================
TEST(UnitTestBvhTree, ZeroSizeQuery)
{
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
};
const BvhTree tree(aabbs);
// Point query inside the box
const auto r = tree.query_overlaps({{0.5f, 0.5f, 0.5f}, {0.5f, 0.5f, 0.5f}});
EXPECT_EQ(r.size(), 1);
// Point query outside the box
const auto miss = tree.query_overlaps({{5.f, 5.f, 5.f}, {5.f, 5.f, 5.f}});
EXPECT_TRUE(miss.empty());
}
TEST(UnitTestBvhTree, ZeroSizeObjects)
{
// Point-like AABBs
const std::vector<Aabb> aabbs = {
{{1.f, 1.f, 1.f}, {1.f, 1.f, 1.f}},
{{5.f, 5.f, 5.f}, {5.f, 5.f, 5.f}},
};
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{0.f, 0.f, 0.f}, {2.f, 2.f, 2.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 0);
}
TEST(UnitTestBvhTree, NoDuplicateResults)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 50; ++i)
{
const auto f = static_cast<float>(i) * 2.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
const auto r = tree.query_overlaps({{-1.f, -1.f, -1.f}, {200.f, 2.f, 2.f}});
// Check for duplicates
const std::set<std::size_t> unique_results(r.begin(), r.end());
EXPECT_EQ(unique_results.size(), r.size());
EXPECT_EQ(r.size(), 50);
}
TEST(UnitTestBvhTree, LargeSpread)
{
// Objects with huge gaps between them
const std::vector<Aabb> aabbs = {
{{0.f, 0.f, 0.f}, {1.f, 1.f, 1.f}},
{{1000.f, 0.f, 0.f}, {1001.f, 1.f, 1.f}},
{{-1000.f, 0.f, 0.f}, {-999.f, 1.f, 1.f}},
{{0.f, 1000.f, 0.f}, {1.f, 1001.f, 1.f}},
{{0.f, -1000.f, 0.f}, {1.f, -999.f, 1.f}},
};
const BvhTree tree(aabbs);
auto r = tree.query_overlaps({{999.f, -1.f, -1.f}, {1002.f, 2.f, 2.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 1);
r = tree.query_overlaps({{-1001.f, -1.f, -1.f}, {-998.f, 2.f, 2.f}});
ASSERT_EQ(r.size(), 1);
EXPECT_EQ(r[0], 2);
}
TEST(UnitTestBvhTree, AllObjectsSameCenter)
{
// All AABBs centered at origin but different sizes
std::vector<Aabb> aabbs;
for (int i = 1; i <= 10; ++i)
{
const auto s = static_cast<float>(i);
aabbs.push_back({{-s, -s, -s}, {s, s, s}});
}
const BvhTree tree(aabbs);
// Small query at origin should hit all
const auto r = tree.query_overlaps({{-0.1f, -0.1f, -0.1f}, {0.1f, 0.1f, 0.1f}});
EXPECT_EQ(r.size(), 10);
// Query touching only the largest box
const auto r2 = tree.query_overlaps({{9.5f, 9.5f, 9.5f}, {10.5f, 10.5f, 10.5f}});
ASSERT_EQ(r2.size(), 1);
EXPECT_EQ(r2[0], 9);
}
TEST(UnitTestBvhTree, MultipleQueriesSameTree)
{
std::vector<Aabb> aabbs;
for (int i = 0; i < 100; ++i)
{
const auto f = static_cast<float>(i) * 2.f;
aabbs.push_back({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
}
const BvhTree tree(aabbs);
// Run many queries on the same tree
for (int i = 0; i < 100; ++i)
{
const auto f = static_cast<float>(i) * 2.f;
const auto r = tree.query_overlaps({{f, 0.f, 0.f}, {f + 1.f, 1.f, 1.f}});
ASSERT_GE(r.size(), 1) << "Query for object " << i << " should find at least itself";
}
}

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//
// Created by Vlad on 3/25/2025.
//
#include "omath/collision/line_tracer.hpp"
#include "omath/3d_primitives/aabb.hpp"
#include <gtest/gtest.h>
using Vec3 = omath::Vector3<float>;
using Ray = omath::collision::Ray<>;
using LineTracer = omath::collision::LineTracer<>;
using AABB = omath::primitives::Aabb<float>;
static Ray make_ray(Vec3 start, Vec3 end, bool infinite = false)
{
Ray r;
r.start = start;
r.end = end;
r.infinite_length = infinite;
return r;
}
// Ray passing straight through the center along Z axis
TEST(LineTracerAABBTests, HitCenterAlongZ)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
const auto ray = make_ray({0.f, 0.f, -5.f}, {0.f, 0.f, 5.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
EXPECT_NEAR(hit.z, -1.f, 1e-4f);
EXPECT_NEAR(hit.x, 0.f, 1e-4f);
EXPECT_NEAR(hit.y, 0.f, 1e-4f);
}
// Ray passing straight through the center along X axis
TEST(LineTracerAABBTests, HitCenterAlongX)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
const auto ray = make_ray({-5.f, 0.f, 0.f}, {5.f, 0.f, 0.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
EXPECT_NEAR(hit.x, -1.f, 1e-4f);
}
// Ray that misses entirely (too far in Y)
TEST(LineTracerAABBTests, MissReturnsEnd)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
const auto ray = make_ray({0.f, 5.f, -5.f}, {0.f, 5.f, 5.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_EQ(hit, ray.end);
}
// Ray that stops short before reaching the box
TEST(LineTracerAABBTests, RayTooShortReturnsEnd)
{
const AABB box{{3.f, -1.f, -1.f}, {5.f, 1.f, 1.f}};
const auto ray = make_ray({0.f, 0.f, 0.f}, {2.f, 0.f, 0.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_EQ(hit, ray.end);
}
// Infinite ray that starts before the box should hit
TEST(LineTracerAABBTests, InfiniteRayHits)
{
const AABB box{{3.f, -1.f, -1.f}, {5.f, 1.f, 1.f}};
const auto ray = make_ray({0.f, 0.f, 0.f}, {2.f, 0.f, 0.f}, true);
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
EXPECT_NEAR(hit.x, 3.f, 1e-4f);
}
// Ray starting inside the box — t_min=0, so hit point equals ray.start
TEST(LineTracerAABBTests, RayStartsInsideBox)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
const auto ray = make_ray({0.f, 0.f, 0.f}, {0.f, 0.f, 5.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
// t_min is clamped to 0, so hit == start
EXPECT_NEAR(hit.x, 0.f, 1e-4f);
EXPECT_NEAR(hit.y, 0.f, 1e-4f);
EXPECT_NEAR(hit.z, 0.f, 1e-4f);
}
// Ray parallel to XY plane, pointing along X, at Z outside the box
TEST(LineTracerAABBTests, ParallelRayOutsideSlabMisses)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
// Z component of ray is 3.0 — outside box's Z slab
const auto ray = make_ray({-5.f, 0.f, 3.f}, {5.f, 0.f, 3.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_EQ(hit, ray.end);
}
// Ray parallel to XY plane, pointing along X, at Z inside the box
TEST(LineTracerAABBTests, ParallelRayInsideSlabHits)
{
const AABB box{{-1.f, -1.f, -1.f}, {1.f, 1.f, 1.f}};
const auto ray = make_ray({-5.f, 0.f, 0.f}, {5.f, 0.f, 0.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
EXPECT_NEAR(hit.x, -1.f, 1e-4f);
}
// Diagonal ray hitting a corner region
TEST(LineTracerAABBTests, DiagonalRayHits)
{
const AABB box{{0.f, 0.f, 0.f}, {2.f, 2.f, 2.f}};
const auto ray = make_ray({-1.f, -1.f, -1.f}, {3.f, 3.f, 3.f});
const auto hit = LineTracer::get_ray_hit_point(ray, box);
EXPECT_NE(hit, ray.end);
// Entry point should be at (0,0,0)
EXPECT_NEAR(hit.x, 0.f, 1e-4f);
EXPECT_NEAR(hit.y, 0.f, 1e-4f);
EXPECT_NEAR(hit.z, 0.f, 1e-4f);
}

View File

@@ -240,4 +240,126 @@ TEST(UnitTestMatStandalone, MatPerspectiveLeftHanded)
projected /= projected.at(3, 0);
EXPECT_TRUE(projected.at(2, 0) > -1.0f && projected.at(2, 0) < 0.f);
}
TEST(UnitTestMatStandalone, MatPerspectiveLeftHandedZeroToOne)
{
const auto proj = mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
90.f, 16.f / 9.f, 0.1f, 1000.f);
// Near plane point should map to z ~ 0
auto near_pt = proj * mat_column_from_vector<float>({0, 0, 0.1f});
near_pt /= near_pt.at(3, 0);
EXPECT_NEAR(near_pt.at(2, 0), 0.0f, 1e-4f);
// Far plane point should map to z ~ 1
auto far_pt = proj * mat_column_from_vector<float>({0, 0, 1000.f});
far_pt /= far_pt.at(3, 0);
EXPECT_NEAR(far_pt.at(2, 0), 1.0f, 1e-4f);
// Mid-range point should be in [0, 1]
auto mid_pt = proj * mat_column_from_vector<float>({0, 0, 500.f});
mid_pt /= mid_pt.at(3, 0);
EXPECT_GT(mid_pt.at(2, 0), 0.0f);
EXPECT_LT(mid_pt.at(2, 0), 1.0f);
}
TEST(UnitTestMatStandalone, MatPerspectiveRightHandedZeroToOne)
{
const auto proj = mat_perspective_right_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
90.f, 16.f / 9.f, 0.1f, 1000.f);
// Near plane point (negative z for right-handed) should map to z ~ 0
auto near_pt = proj * mat_column_from_vector<float>({0, 0, -0.1f});
near_pt /= near_pt.at(3, 0);
EXPECT_NEAR(near_pt.at(2, 0), 0.0f, 1e-4f);
// Far plane point should map to z ~ 1
auto far_pt = proj * mat_column_from_vector<float>({0, 0, -1000.f});
far_pt /= far_pt.at(3, 0);
EXPECT_NEAR(far_pt.at(2, 0), 1.0f, 1e-4f);
// Mid-range point should be in [0, 1]
auto mid_pt = proj * mat_column_from_vector<float>({0, 0, -500.f});
mid_pt /= mid_pt.at(3, 0);
EXPECT_GT(mid_pt.at(2, 0), 0.0f);
EXPECT_LT(mid_pt.at(2, 0), 1.0f);
}
TEST(UnitTestMatStandalone, MatPerspectiveNegativeOneToOneRange)
{
// Verify existing [-1, 1] behavior with explicit template arg matches default
const auto proj_default = mat_perspective_left_handed(90.f, 16.f / 9.f, 0.1f, 1000.f);
const auto proj_explicit = mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR,
NDCDepthRange::NEGATIVE_ONE_TO_ONE>(90.f, 16.f / 9.f, 0.1f, 1000.f);
EXPECT_EQ(proj_default, proj_explicit);
// Near plane should map to z ~ -1
auto near_pt = proj_default * mat_column_from_vector<float>({0, 0, 0.1f});
near_pt /= near_pt.at(3, 0);
EXPECT_NEAR(near_pt.at(2, 0), -1.0f, 1e-3f);
// Far plane should map to z ~ 1
auto far_pt = proj_default * mat_column_from_vector<float>({0, 0, 1000.f});
far_pt /= far_pt.at(3, 0);
EXPECT_NEAR(far_pt.at(2, 0), 1.0f, 1e-3f);
}
TEST(UnitTestMatStandalone, MatPerspectiveZeroToOneEquanity)
{
// LH and RH should produce same NDC for mirrored z
constexpr omath::Vector3<float> left_handed = {0, 2, 10};
constexpr omath::Vector3<float> right_handed = {0, 2, -10};
const auto proj_lh = mat_perspective_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
90.f, 16.f / 9.f, 0.1f, 1000.f);
const auto proj_rh = mat_perspective_right_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
90.f, 16.f / 9.f, 0.1f, 1000.f);
auto ndc_lh = proj_lh * mat_column_from_vector(left_handed);
auto ndc_rh = proj_rh * mat_column_from_vector(right_handed);
ndc_lh /= ndc_lh.at(3, 0);
ndc_rh /= ndc_rh.at(3, 0);
EXPECT_EQ(ndc_lh, ndc_rh);
}
TEST(UnitTestMatStandalone, MatOrthoLeftHandedZeroToOne)
{
const auto ortho = mat_ortho_left_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
-1.f, 1.f, -1.f, 1.f, 0.1f, 100.f);
// Near plane should map to z ~ 0
auto near_pt = ortho * mat_column_from_vector<float>({0, 0, 0.1f});
EXPECT_NEAR(near_pt.at(2, 0), 0.0f, 1e-4f);
// Far plane should map to z ~ 1
auto far_pt = ortho * mat_column_from_vector<float>({0, 0, 100.f});
EXPECT_NEAR(far_pt.at(2, 0), 1.0f, 1e-4f);
}
TEST(UnitTestMatStandalone, MatOrthoRightHandedZeroToOne)
{
const auto ortho = mat_ortho_right_handed<float, MatStoreType::ROW_MAJOR, NDCDepthRange::ZERO_TO_ONE>(
-1.f, 1.f, -1.f, 1.f, 0.1f, 100.f);
// Near plane (negative z for RH) should map to z ~ 0
auto near_pt = ortho * mat_column_from_vector<float>({0, 0, -0.1f});
EXPECT_NEAR(near_pt.at(2, 0), 0.0f, 1e-4f);
// Far plane should map to z ~ 1
auto far_pt = ortho * mat_column_from_vector<float>({0, 0, -100.f});
EXPECT_NEAR(far_pt.at(2, 0), 1.0f, 1e-4f);
}
TEST(UnitTestMatStandalone, MatOrthoNegativeOneToOneDefault)
{
// Verify explicit [-1, 1] matches default
const auto ortho_default = mat_ortho_left_handed(-1.f, 1.f, -1.f, 1.f, 0.1f, 100.f);
const auto ortho_explicit = mat_ortho_left_handed<float, MatStoreType::ROW_MAJOR,
NDCDepthRange::NEGATIVE_ONE_TO_ONE>(-1.f, 1.f, -1.f, 1.f, 0.1f, 100.f);
EXPECT_EQ(ortho_default, ortho_explicit);
}

View File

@@ -4,6 +4,8 @@
#include "omath/engines/unity_engine/camera.hpp"
#include <complex>
#include <gtest/gtest.h>
#include <omath/3d_primitives/aabb.hpp>
#include <omath/engines/opengl_engine/camera.hpp>
#include <omath/engines/source_engine/camera.hpp>
#include <omath/projection/camera.hpp>
#include <print>
@@ -216,4 +218,296 @@ TEST(UnitTestProjection, ScreenToWorldBottomLeftCorner)
EXPECT_NEAR(screen_cords->x, initial_screen_cords.x, 0.001f);
EXPECT_NEAR(screen_cords->y, initial_screen_cords.y, 0.001f);
}
}
TEST(UnitTestProjection, AabbInsideFrustumNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Small box directly in front of camera (Source Engine: +X forward, +Y left, +Z up)
const omath::primitives::Aabb<float> aabb{{90.f, -1.f, -1.f}, {110.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbBehindCameraCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box entirely behind the camera
const omath::primitives::Aabb<float> aabb{{-200.f, -1.f, -1.f}, {-100.f, 1.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbBeyondFarPlaneCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box beyond far plane (1000)
const omath::primitives::Aabb<float> aabb{{1500.f, -1.f, -1.f}, {2000.f, 1.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbFarLeftCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box far to the side, outside the frustum
const omath::primitives::Aabb<float> aabb{{90.f, 4000.f, -1.f}, {110.f, 5000.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbFarRightCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box far to the other side, outside the frustum
const omath::primitives::Aabb<float> aabb{{90.f, -5000.f, -1.f}, {110.f, -4000.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbAboveCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box far above the frustum
const omath::primitives::Aabb<float> aabb{{90.f, -1.f, 5000.f}, {110.f, 1.f, 6000.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbPartiallyInsideNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Large box that straddles the frustum boundary — partially inside
const omath::primitives::Aabb<float> aabb{{50.f, -5000.f, -5000.f}, {500.f, 5000.f, 5000.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbStraddlesNearPlaneNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box that straddles the near plane — partially in front
const omath::primitives::Aabb<float> aabb{{-5.f, -1.f, -1.f}, {5.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbStraddlesFarPlaneNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box that straddles the far plane
const omath::primitives::Aabb<float> aabb{{900.f, -1.f, -1.f}, {1100.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbCulledUnityEngine)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
const auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.03f, 1000.f);
// Box in front — not culled
const omath::primitives::Aabb<float> inside{{-1.f, -1.f, 50.f}, {1.f, 1.f, 100.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(inside));
// Box behind — culled
const omath::primitives::Aabb<float> behind{{-1.f, -1.f, -200.f}, {1.f, 1.f, -100.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(behind));
}
TEST(UnitTestProjection, AabbBelowCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box far below the frustum (Source Engine: +Z up)
const omath::primitives::Aabb<float> aabb{{90.f, -1.f, -6000.f}, {110.f, 1.f, -5000.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbEnclosesCameraNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Huge box that fully encloses the camera
const omath::primitives::Aabb<float> aabb{{-500.f, -500.f, -500.f}, {500.f, 500.f, 500.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbExactlyAtNearPlaneNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box starting exactly at the near plane distance
const omath::primitives::Aabb<float> aabb{{0.01f, -1.f, -1.f}, {10.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbExactlyAtFarPlaneNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Box ending exactly at the far plane distance
const omath::primitives::Aabb<float> aabb{{990.f, -1.f, -1.f}, {1000.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbNarrowFovCulledAtEdge)
{
// Narrow FOV — box that would be visible at 90 is culled at 30
constexpr auto fov = omath::projection::FieldOfView::from_degrees(30.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
const omath::primitives::Aabb<float> aabb{{100.f, 200.f, -1.f}, {110.f, 210.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbWideFovNotCulledAtEdge)
{
// Wide FOV — same box is visible
constexpr auto fov = omath::projection::FieldOfView::from_degrees(120.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
const omath::primitives::Aabb<float> aabb{{100.f, 200.f, -1.f}, {110.f, 210.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbCameraOffOrigin)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({500.f, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f},
fov, 0.01f, 1000.f);
// Box in front of shifted camera
const omath::primitives::Aabb<float> in_front{{600.f, -1.f, -1.f}, {700.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(in_front));
// Box behind shifted camera
const omath::primitives::Aabb<float> behind{{0.f, -1.f, -1.f}, {100.f, 1.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(behind));
}
TEST(UnitTestProjection, AabbShortFarPlaneCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
// Very short far plane
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 50.f);
// Box at distance 100 — beyond the 50-unit far plane
const omath::primitives::Aabb<float> aabb{{90.f, -1.f, -1.f}, {110.f, 1.f, 1.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
// Box at distance 30 — within range
const omath::primitives::Aabb<float> near_box{{25.f, -1.f, -1.f}, {35.f, 1.f, 1.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(near_box));
}
TEST(UnitTestProjection, AabbPointSizedInsideNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::source_engine::Camera({0, 0, 0}, omath::source_engine::ViewAngles{}, {1920.f, 1080.f}, fov,
0.01f, 1000.f);
// Degenerate zero-volume AABB (a point) inside the frustum
const omath::primitives::Aabb<float> aabb{{100.f, 0.f, 0.f}, {100.f, 0.f, 0.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbOpenGlEngineInsideNotCulled)
{
// OpenGL: COLUMN_MAJOR, NEGATIVE_ONE_TO_ONE, inverted_z, forward = -Z
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
// Box in front of camera (OpenGL: -Z forward)
const omath::primitives::Aabb<float> aabb{{-1.f, -1.f, -110.f}, {1.f, 1.f, -90.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbOpenGlEngineBehindCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
// Box behind (OpenGL: +Z is behind the camera)
const omath::primitives::Aabb<float> aabb{{-1.f, -1.f, 100.f}, {1.f, 1.f, 200.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbOpenGlEngineBeyondFarCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
// Box beyond far plane along -Z
const omath::primitives::Aabb<float> aabb{{-1.f, -1.f, -2000.f}, {1.f, 1.f, -1500.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbOpenGlEngineSideCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(90.f);
const auto cam = omath::opengl_engine::Camera({0, 0, 0}, {}, {1920.f, 1080.f}, fov, 0.01f, 1000.f);
// Box far to the right (OpenGL: +X right)
const omath::primitives::Aabb<float> aabb{{4000.f, -1.f, -110.f}, {5000.f, 1.f, -90.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbUnityEngineBeyondFarCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
const auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.03f, 500.f);
// Box beyond 500-unit far plane (Unity: +Z forward)
const omath::primitives::Aabb<float> aabb{{-1.f, -1.f, 600.f}, {1.f, 1.f, 700.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbUnityEngineSideCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
const auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.03f, 1000.f);
// Box far above (Unity: +Y up)
const omath::primitives::Aabb<float> aabb{{-1.f, 5000.f, 50.f}, {1.f, 6000.f, 100.f}};
EXPECT_TRUE(cam.is_aabb_culled_by_frustum(aabb));
}
TEST(UnitTestProjection, AabbUnityEngineStraddlesNearNotCulled)
{
constexpr auto fov = omath::projection::FieldOfView::from_degrees(60.f);
const auto cam = omath::unity_engine::Camera({0, 0, 0}, {}, {1280.f, 720.f}, fov, 0.03f, 1000.f);
// Box straddles near plane (Unity: +Z forward)
const omath::primitives::Aabb<float> aabb{{-1.f, -1.f, -5.f}, {1.f, 1.f, 5.f}};
EXPECT_FALSE(cam.is_aabb_culled_by_frustum(aabb));
}