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1.9.8
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HighMap library (C++)
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Provides core mathematical utilities for procedural generation, including trigonometry, exponential/logarithmic functions, smooth transitions (smoothstep), distance metrics (Chebyshev, Euclidian), and phasor profiles. Offers optimized approximations (hypotenuse, inverse sqrt) and array-based operations for terrain modeling and noise synthesis. More...
Go to the source code of this file.
Namespaces | |
| namespace | hmap |
Enumerations | |
| enum | hmap::DistanceFunction : int { hmap::CHEBYSHEV , hmap::EUCLIDIAN , hmap::EUCLISHEV , hmap::MANHATTAN } |
| Distance function type. More... | |
| enum | hmap::PhasorProfile : int { hmap::COSINE_BULKY , hmap::COSINE_PEAKY , hmap::COSINE_SQUARE , hmap::COSINE_STD , hmap::TRIANGLE } |
| Phasor angular profile type. More... | |
Functions | |
| Array | hmap::abs (const Array &array) |
| Return the absolute value of the array elements. | |
| Array | hmap::abs_smooth (const Array &array, float mu, const Array &vshift) |
| Return the smooth absolute value of the array elements. | |
| Array | hmap::abs_smooth (const Array &array, float mu, float vshift) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| Array | hmap::abs_smooth (const Array &array, float mu) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::abs_smooth (float a, float mu) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| Array | hmap::almost_unit_identity (const Array &array) |
| Return the almost unit identity function. | |
| float | hmap::almost_unit_identity (float x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::almost_unit_identity_c2 (float x) |
| Return the almost unit identity function (with a second-order derivative equals 0 at x = 1 also to avoid discontinuities in some cases) | |
| float | hmap::approx_hypot (float a, float b) |
| Return the approximate hypothenuse of two numbers. | |
| float | hmap::approx_rsqrt (float a) |
| Return the approximate inverse square root of a number. | |
| Array | hmap::atan (const Array &array) |
| Return the arctan of the array elements. | |
| Array | hmap::atan2 (const Array &y, const Array &x) |
| Computes the element-wise arctangent of two arrays, considering the signs of both inputs. | |
| Array | hmap::cos (const Array &array) |
| Return the cosine of the array elements. | |
| Array | hmap::exp (const Array &array) |
| Return the exponantial of the array elements. | |
| float | hmap::gain (float x, float factor) |
| Array | hmap::gaussian_decay (const Array &array, float sigma) |
| Return the Gaussian of the array elements. | |
| std::function< float(float, float)> | hmap::get_distance_function (DistanceFunction dist_fct) |
| Return the requested distance function. | |
| std::function< float(float)> | hmap::get_phasor_profile_function (const PhasorProfile &phasor_profile, float delta, float *p_profile_avg=nullptr) |
| Generates a function representing a phasor profile based on the specified type and parameters. | |
| int | hmap::highest_power_of_2 (int n) |
| Computes the highest power of 2 less than or equal to the given number. | |
| Array | hmap::lerp (const Array &array1, const Array &array2, const Array &t) |
| Return the linear interpolation between two arrays by a parameter t. | |
| Array | hmap::lerp (const Array &array1, const Array &array2, float t) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::lerp (float a, float b, float t) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| Array | hmap::log10 (const Array &array) |
| Return the log10 of the array elements. | |
| Array | hmap::pow (const Array &array, float exp) |
| Return the array elements raised to the power 'exp'. | |
| void | hmap::radial_displacement_to_xy (const Array &dr, Array &dx, Array &dy, float smoothing=1.f, Vec2< float > center={0.5f, 0.5f}, Vec4< float > bbox={0.f, 1.f, 0.f, 1.f}) |
Interpret the input array dr as a radial displacement and convert it to a pair of displacements dx and dy in cartesian coordinates. | |
| Array | hmap::sin (const Array &array) |
| Return the sine of the array elements. | |
| Array | hmap::smoothstep3 (const Array &array, float vmin=0.f, float vmax=1.f) |
| Return the 3rd order smoothstep function of the array elements. | |
| float | hmap::smoothstep3 (float x) |
| Return the 3rd order smoothstep function. | |
| float | hmap::smoothstep3_lower (float x) |
| Return the 3rd order smoothstep function, with zero derivative only at 0. | |
| Array | hmap::smoothstep3_lower (const Array &x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::smoothstep3_upper (float x) |
| Return the 3rd order smoothstep function, with zero derivative only at 1. | |
| Array | hmap::smoothstep3_upper (const Array &x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| Array | hmap::smoothstep5 (const Array &array, float vmin=0.f, float vmax=1.f) |
| Return the 5rd order smoothstep function of the array elements. | |
| Array | hmap::smoothstep5 (const Array &array, const Array &vmin, const Array &vmax) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::smoothstep5 (float x) |
| Return the 5rd order smoothstep function. | |
| float | hmap::smoothstep5_lower (float x) |
| Return the 5rd order smoothstep function, with zero derivative only at 0. | |
| Array | hmap::smoothstep5_lower (const Array &x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::smoothstep5_upper (float x) |
| Return the 5rd order smoothstep function, with zero derivative only at 1. | |
| Array | hmap::smoothstep5_upper (const Array &x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| float | hmap::smoothstep7 (float x) |
| Return the 7th order smoothstep function. | |
| Array | hmap::smoothstep7 (const Array &x) |
| This is an overloaded member function, provided for convenience. It differs from the above function only in what argument(s) it accepts. | |
| Array | hmap::sqrt (const Array &array) |
| Return the square root of the array elements. | |
| Array | hmap::sqrt_safe (const Array &array) |
Provides core mathematical utilities for procedural generation, including trigonometry, exponential/logarithmic functions, smooth transitions (smoothstep), distance metrics (Chebyshev, Euclidian), and phasor profiles. Offers optimized approximations (hypotenuse, inverse sqrt) and array-based operations for terrain modeling and noise synthesis.
1.9.8