About me 2 6 ways for implementing math expressions calculator, Amir Kirsh Lecturer Academic College of Tel-Aviv-Yaffo and Tel-Aviv University Developer Advocate at Member of the Israeli ISO C++ NB NB Co-Organizer of the CoreCpp conference and meetup group3 6 ways for implementing math expressions calculator, Amir Kirsh Suffering from slow builds? It’s not just waste of time It affects your dev for implementing math expressions calculator, Amir KirshSuccess Stories 5 6 ways for implementing math expressions calculator, Amir KirshSuccess Stories 6 6 ways for implementing math expressions calculator

com/catchorg/Catch2 Frameworks Part 0: Basics 9auto abs(int x) -> int; math.hpp math.cpp test_math.cpp #include #include "math.hpp" TEST_CASE("Absolute value tests"){ CHECK( abs( 4 Frameworks Part 0: Basics 10auto abs(int x) -> int; math.hpp math.cpp test_math.cpp #include #include "math.hpp" TEST_CASE("Absolute value tests"){ CHECK( abs( │ └── math │ ├── math.cpp │ └── math.hpp └── test ├── stuff │ └── test_stuff.cpp ├── things │ └── test_things.cpp └── math └── test_math.cpp Where

shared-lib, static-lib, soft-float, and inline-asm Victor Istomin 🇺🇦 vi@6it.dev Templatizing math and geometry libs and tests Serhii Iliukhin 🇺🇦 sil@6it.dev Advising on C++ standard with Davidson 🇬🇧 gd@6it.dev Advising on math aspects, code organization and refactoring, reviews Dmytro Ivanchykhin 🇺🇦 di@6it.dev Implementing fixed- point math with floating-point fallback non-determinism_ CppCon 2024 sixit:: 13 CPU Compiler <math.h> 1 2 3Handling FP non-determinism_ CppCon 2024 sixit:: 14 CPU Compiler <math.h> 1 2 3 Modern CPUs and even MCUs do provide IEEE754-

to search faster. Usually done by wrapping objects in a bounding volume (sphere, AABB) and fancy math is done to determine if it intersects the frustum.Quadtrees & Octrees Used to partition space in exist, continue deeper into the tree else skip. ● When a node represents a game entity, do fancy math to determine frustum intersection.Once the tree is constructed, we search the tree for game entities exist, continue deeper into the tree else skip. ● When a node represents a game entity, do fancy math to determine frustum intersection.Once the tree is constructed, we search the tree for game entities

locations items into cells Store non-empty cells in a map - using array index as key Ideally to simplify math and logic - form from a big cube - centered on origin Speaker notesGRID CACHE MAP CHOICE HASHMAP HasNodesInBounds(const math::Box& bounds) const; bool HasNodesInBoundsOfType(const math::Box& bounds, const NodeTypes& types) const; std::vector GetNodesInBounds(const math::Box& bounds) const; std::vector GetNodesInBoundsOfType(const math::Box& bounds, const NodeTypes& types) const; const GridCellPtr& GetLargeGridCell() const; GridCellPtr GetGridCell(const math::Vector& point) const; std::vector

timestep); return (y0 + (k1 + 2 * k2 + 2 * k3 + k4) * timestep / 6); } double stateOut = common::math::runge_kutta4(derivFun, currTime, stateIn, dt); Usage Exampleatomosspace.com | 31 + (k1 + 2 * k2 + 2 * k3 + k4) * timestep / 6); } Eigen::Matrix stateOut = common::math::runge_kutta4>(derivFun, currTime, stateIn, dt); Usage Example stateOut = common::math::runge_kutta4>(derivFun, currTime, stateInOut, dt); Usage Example Continuedatomosspace.com | 33 double stateOut = common::math::runge_kutta4

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Aspirational linearity My impression of René Magritte’s “The Treachery of Images” (1929) We use math words We mean a computer representation Scalars 𝛼, 𝛽 in a field Fixed-length numbers Vectors Householder convention A standard notation, & a standard way of talking about computations We use math words We mean a computer representation Scalars 𝛼, 𝛽 in a field Fixed-length numbers Vectors Low-level math problems • Linear systems 𝐴𝑥 = 𝑏 (& determinants, etc.) • Least-squares problems min 𝑥 𝐴𝑥 − 𝑏 2 • Eigenvalue & singular value problems 𝐴𝑥 = 𝜆𝑥 • Layer 2: Higher-level math problems

store a value (that you obtained after some math, for example) for later use. For example: # Assign the value 10 to the variable x julia> x = 10 10 # Doing math with x's value julia> x + 1 11 # Reassign "Hello" In the Julia REPL and several other Julia editing environments, you can type many Unicode math symbols by typing the backslashed LaTeX symbol name followed by tab. For example, the variable name Sc/So (currency and other symbols), and a few other letter-like characters (e.g. a subset of the Sm math symbols) are allowed. Subsequent characters may also include ! and digits (0-9 and other characters

store a value (that you obtained after some math, for example) for later use. For example: # Assign the value 10 to the variable x julia> x = 10 10 # Doing math with x's value julia> x + 1 11 # Reassign "Hello" In the Julia REPL and several other Julia editing environments, you can type many Unicode math symbols by typing the backslashed LaTeX symbol name followed by tab. For example, the variable name Sc/So (currency and other symbols), and a few other letter-like characters (e.g. a subset of the Sm math symbols) are allowed. Subsequent characters may also include ! and digits (0-9 and other characters

store a value (that you obtained after some math, for example) for later use. For example: # Assign the value 10 to the variable x julia> x = 10 10 # Doing math with x's value julia> x + 1 11 # Reassign "Hello" In the Julia REPL and several other Julia editing environments, you can type many Unicode math symbols by typing the backslashed LaTeX symbol name followed by tab. For example, the variable name otherCHAPTER 4. VARIABLES 12 symbols), and a few other letter-like characters (e.g. a subset of the Sm math symbols) are allowed. Subsequent characters may also include ! and digits (0-9 and other characters