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//! Bincode-based FFI API for numerical physics functions.
use Deserialize;
use crateBincodeBuffer;
use cratefrom_bincode_buffer;
use crateto_bincode_buffer;
use crateFfiResult;
use cratephysics;
/// Computes the displacement of a simple harmonic oscillator using bincode serialization.
///
/// The simple harmonic oscillator describes oscillatory motion with displacement:
/// x(t) = A cos(ωt + φ), where A is amplitude, ω is angular frequency, and φ is phase.
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `HarmonicOscillatorInput` with:
/// - `amplitude`: Oscillation amplitude A (m)
/// - `omega`: Angular frequency ω (rad/s)
/// - `phase`: Phase angle φ (radians)
/// - `time`: Time t at which to evaluate displacement (s)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The displacement x(t) (m)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the Coulomb electrostatic force between two point charges using bincode serialization.
///
/// The Coulomb force is the electrostatic interaction between charged particles:
/// F = `k_e` q₁q₂ / r², where `k_e` is Coulomb's constant (8.99×10⁹ N·m²/C²).
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `TwoChargesInput` with:
/// - `q1`: First charge q₁ (Coulombs)
/// - `q2`: Second charge q₂ (Coulombs)
/// - `r`: Separation distance r (m)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The Coulomb force magnitude F (Newtons, positive for repulsion)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the pressure of an ideal gas using the ideal gas law and bincode serialization.
///
/// The ideal gas law relates pressure, volume, temperature, and amount of substance:
/// PV = nRT, where R is the universal gas constant (8.314 J/(mol·K)).
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `IdealGasInput` with:
/// - `n`: Amount of substance (moles)
/// - `t`: Absolute temperature T (Kelvin)
/// - `v`: Volume V (m³)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The gas pressure P (Pascals)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the Lorentz factor for relativistic time dilation and length contraction using bincode serialization.
///
/// The Lorentz factor γ appears in special relativity transformations:
/// γ = 1 / √(1 - v²/c²), where v is velocity and c is the speed of light.
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `VelocityInput` with:
/// - `velocity`: Velocity v (m/s, typically as a fraction of c)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The Lorentz factor γ (dimensionless, ≥ 1)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the rest mass energy using Einstein's mass-energy equivalence and bincode serialization.
///
/// Einstein's mass-energy relation is one of the most famous equations in physics:
/// E = mc², where m is rest mass and c is the speed of light (2.998×10⁸ m/s).
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `MassInput` with:
/// - `mass`: Rest mass m (kg)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The rest energy E (Joules)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the energy eigenvalue of a quantum harmonic oscillator using bincode serialization.
///
/// The quantum harmonic oscillator has discrete energy levels given by:
/// `E_n` = ℏω(n + 1/2), where n is the quantum number, ℏ is the reduced Planck constant,
/// and ω is the angular frequency.
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `QuantumHarmonicInput` with:
/// - `n`: Quantum number n (non-negative integer, ground state = 0)
/// - `omega`: Angular frequency ω (rad/s)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The energy eigenvalue `E_n` (Joules)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"
/// Computes the energy level of the hydrogen atom using the Bohr model and bincode serialization.
///
/// The Bohr model gives hydrogen atom energy levels as:
/// `E_n` = -13.6 eV / n², where n is the principal quantum number (n ≥ 1).
/// Energy is negative, indicating a bound state.
///
/// # Arguments
///
/// * `buffer` - A bincode-encoded buffer containing `QuantumNumberInput` with:
/// - `n`: Principal quantum number n (positive integer, ground state = 1)
///
/// # Returns
///
/// A bincode-encoded buffer containing `FfiResult<f64, String>` with either:
/// - `ok`: The energy level `E_n` (Joules, negative for bound states)
/// - `err`: Error message if deserialization failed
///
/// # Safety
///
/// This function is unsafe because it receives raw pointers through FFI.
/// The caller must ensure the input buffer contains valid bincode data.
///
/// # Safety
///
/// This function is unsafe because it dereferences raw pointers as part of the FFI boundary.
/// The caller must ensure:
/// 1. All pointer arguments are valid and point to initialized memory.
/// 2. The memory layout of passed structures matches the expected C-ABI layout.
/// 3. Any pointers returned by this function are managed according to the API's ownership rules.
pub unsafe extern "C"