98 lines
3.5 KiB
C++
98 lines
3.5 KiB
C++
#ifndef BWIDGETS_MATH_HPP
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#define BWIDGETS_MATH_HPP
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#include <algorithm>
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#include <cmath>
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#include <SDL_rect.h>
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#include <basic_widgets/core/type/color.hpp>
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#include <basic_widgets/core/type/size.hpp>
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namespace bwidgets
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{
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// Get the start coordinate offset required to center a ligne with a length used_len on another
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// line with a length available_len.
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[[nodiscard]] inline auto center_line(const int available_len, const int used_len) noexcept -> int
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{
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return (available_len - used_len) / 2;
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}
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// Get the squared distance of two points on a 2D plan. This avoid computing square root
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// when for instance we need to compare two lenght but knowing the actual lenght is not
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// needed.
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[[nodiscard]] inline auto distance_sqrd(const SDL_Point a, const SDL_Point b) noexcept
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-> float
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{
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return float(a.x - b.x) * float(a.x - b.x)
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+ float(a.y - b.y) * float(a.y - b.y);
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}
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// Get distance of two points on a 2D plan.
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[[nodiscard]] inline auto distance(const SDL_Point a, const SDL_Point b) noexcept -> float
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{
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return std::sqrt(distance_sqrd(a, b));
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}
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// Like std::lerp but for use with Color object. lerp function is applied only to enabled channels.
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template<FloatingPoint F>
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[[nodiscard]] inline auto lerp(const Color a, const Color b, const F x, const bool op_alpha=false, const bool op_color=true) noexcept -> Color
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{
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return {{
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op_color ? (uint8_t)std::lerp(a().r, b().r, x) : a().r,
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op_color ? (uint8_t)std::lerp(a().g, b().g, x) : a().g,
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op_color ? (uint8_t)std::lerp(a().b, b().b, x) : a().b,
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op_alpha ? (uint8_t)std::lerp(a().a, b().a, x) : a().a,
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}};
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}
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// Reverse lerp.
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template<Numeric N>
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[[nodiscard]] inline auto linear(const N x, const N a, const N b) noexcept -> float
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{
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return (float)(x - a) / (float)(b - a);
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}
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// Check if a rectangle is completly inside of another rectangle.
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[[nodiscard]] inline auto rect_in_rect(const SDL_Rect& outer, const SDL_Rect& inner) noexcept
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-> bool
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{
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const SDL_Point top_left {inner.x, inner.y};
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const SDL_Point bottom_right {inner.x + inner.w, inner.y + inner.h};
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return (SDL_PointInRect(&top_left, &outer) == SDL_TRUE)
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&& (SDL_PointInRect(&bottom_right, &outer) == SDL_TRUE);
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}
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// Get the rectangle inside r leaving margins of given size between inner and outer rectangle.
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[[nodiscard]] inline auto rect_margin(const SDL_Rect& r, const Size margin) noexcept
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-> SDL_Rect
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{
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return {r.x + margin.w, r.y + margin.h, r.w - 2 * margin.w, r.h - 2 * margin.h};
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}
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// Get the rectangle obtained from adding offset to its origin coordinate.
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[[nodiscard]] inline auto rect_offset(const SDL_Rect& r, const SDL_Point offset) noexcept
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-> SDL_Rect
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{
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return {r.x + offset.x, r.y + offset.y, r.w, r.h};
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}
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// Commodity function to use another rectangle as a size for the offset to be added to r.
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[[nodiscard]] inline auto rect_offset(const SDL_Rect& r, const SDL_Rect& offset) noexcept
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-> SDL_Rect
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{
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return rect_offset(r, SDL_Point {offset.x, offset.y});
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}
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// Standard smoothstep algorithm.
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template<Numeric N>
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[[nodiscard]] inline auto smoothstep(const N x, const N a, const N b) noexcept -> float
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{
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const float x_norm = linear(std::clamp<float>(x, a, b), a, b);
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return 3 * x_norm * x_norm - 2 * x_norm * x_norm * x_norm;
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}
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}
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#endif
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