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Arithmetic.hpp File Reference
Scalar and element-wise arithmetic functions (abs, sqrt, pow, exp, log, etc.). More...
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Namespaces | |
| namespace | janus |
Functions | |
| template<JanusScalar T> | |
| T | janus::abs (const T &x) |
| Computes the absolute value of a scalar. | |
| template<typename Derived> | |
| auto | janus::abs (const Eigen::MatrixBase< Derived > &x) |
| Computes absolute value element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::sqrt (const T &x) |
| Computes the square root of a scalar. | |
| template<typename Derived> | |
| auto | janus::sqrt (const Eigen::MatrixBase< Derived > &x) |
| Computes square root element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::pow (const T &base, const T &exponent) |
| Computes the power function: base^exponent. | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::pow (const T &base, double exponent) |
| Computes power function base^exponent for scalars (mixed types). | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::pow (double base, const T &exponent) |
| Computes power function base^exponent for scalars (mixed types: double base). | |
| template<typename Derived, typename Scalar> | |
| auto | janus::pow (const Eigen::MatrixBase< Derived > &base, const Scalar &exponent) |
| Computes power function element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::exp (const T &x) |
| Computes the exponential function e^x. | |
| template<typename Derived> | |
| auto | janus::exp (const Eigen::MatrixBase< Derived > &x) |
| Computes exponential function element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::log (const T &x) |
| Computes the natural logarithm of x. | |
| template<typename Derived> | |
| auto | janus::log (const Eigen::MatrixBase< Derived > &x) |
| Computes natural logarithm element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::log10 (const T &x) |
| Computes the base-10 logarithm of x. | |
| template<typename Derived> | |
| auto | janus::log10 (const Eigen::MatrixBase< Derived > &x) |
| Computes base-10 logarithm element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::sinh (const T &x) |
| Computes hyperbolic sine. | |
| template<typename Derived> | |
| auto | janus::sinh (const Eigen::MatrixBase< Derived > &x) |
| Computes hyperbolic sine element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::cosh (const T &x) |
| Computes hyperbolic cosine of x. | |
| template<typename Derived> | |
| auto | janus::cosh (const Eigen::MatrixBase< Derived > &x) |
| Computes hyperbolic cosine element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::tanh (const T &x) |
| Computes hyperbolic tangent of x. | |
| template<typename Derived> | |
| auto | janus::tanh (const Eigen::MatrixBase< Derived > &x) |
| Computes hyperbolic tangent element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::floor (const T &x) |
| Computes floor of x. | |
| template<typename Derived> | |
| auto | janus::floor (const Eigen::MatrixBase< Derived > &x) |
| Computes floor element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::ceil (const T &x) |
| Computes ceiling of x. | |
| template<typename Derived> | |
| auto | janus::ceil (const Eigen::MatrixBase< Derived > &x) |
| Computes ceiling element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::sign (const T &x) |
| Computes sign of x. | |
| template<typename Derived> | |
| auto | janus::sign (const Eigen::MatrixBase< Derived > &x) |
| Computes sign element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::fmod (const T &x, const T &y) |
| Computes floating-point remainder of x/y. | |
| template<typename Derived, typename Scalar> | |
| auto | janus::fmod (const Eigen::MatrixBase< Derived > &x, const Scalar &y) |
| Computes floating-point remainder element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::log2 (const T &x) |
| Computes base-2 logarithm of x. | |
| template<typename Derived> | |
| auto | janus::log2 (const Eigen::MatrixBase< Derived > &x) |
| Computes base-2 logarithm element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::exp2 (const T &x) |
| Computes 2^x. | |
| template<typename Derived> | |
| auto | janus::exp2 (const Eigen::MatrixBase< Derived > &x) |
| Computes 2^x element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::cbrt (const T &x) |
| Computes cube root of x. | |
| template<typename Derived> | |
| auto | janus::cbrt (const Eigen::MatrixBase< Derived > &x) |
| Computes cube root element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::round (const T &x) |
| Rounds x to the nearest integer. | |
| template<typename Derived> | |
| auto | janus::round (const Eigen::MatrixBase< Derived > &x) |
| Rounds element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::trunc (const T &x) |
| Truncates x toward zero. | |
| template<typename Derived> | |
| auto | janus::trunc (const Eigen::MatrixBase< Derived > &x) |
| Truncates element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::hypot (const T &x, const T &y) |
| Computes sqrt(x^2 + y^2) without undue overflow/underflow. | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::hypot (const T &x, double y) |
| Computes hypot(x, y) with mixed types. | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::hypot (double x, const T &y) |
| Computes hypot(x, y) with mixed types (double first). | |
| template<typename Derived> | |
| auto | janus::hypot (const Eigen::MatrixBase< Derived > &x, const Eigen::MatrixBase< Derived > &y) |
| Computes hypot element-wise for matrices. | |
| template<JanusScalar T> | |
| T | janus::expm1 (const T &x) |
| Computes exp(x) - 1, accurate for small x. | |
| template<typename Derived> | |
| auto | janus::expm1 (const Eigen::MatrixBase< Derived > &x) |
| Computes expm1 element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::log1p (const T &x) |
| Computes log(1 + x), accurate for small x. | |
| template<typename Derived> | |
| auto | janus::log1p (const Eigen::MatrixBase< Derived > &x) |
| Computes log1p element-wise for a matrix. | |
| template<JanusScalar T> | |
| T | janus::copysign (const T &x, const T &y) |
| Returns magnitude of x with sign of y. | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::copysign (const T &x, double y) |
| Copysign with mixed types. | |
| template<JanusScalar T> requires (!std::is_same_v<T, double>) | |
| T | janus::copysign (double x, const T &y) |
| Copysign with mixed types (double magnitude). | |
| template<typename Derived> | |
| auto | janus::copysign (const Eigen::MatrixBase< Derived > &x, const Eigen::MatrixBase< Derived > &y) |
| Copysign element-wise for matrices. | |
| template<JanusScalar T> | |
| T | janus::square (const T &x) |
| Computes x^2 (more efficient than pow(x, 2)). | |
| template<typename Derived> | |
| auto | janus::square (const Eigen::MatrixBase< Derived > &x) |
| Computes square element-wise for a matrix. | |
