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plotter/include/plot/math/transform.hpp
T

49 lines
1.3 KiB
C++

#pragma once
#include <cmath>
#include <plot/core/types.hpp>
namespace plot::math {
/// Affine data->screen mapping: `screen = data * s + t`, applied after `log10`
/// when the corresponding log flag is set.
struct Transform {
f64 sx = 1.0, tx = 0.0;
f64 sy = 1.0, ty = 0.0;
bool log_x = false, log_y = false;
f64 to_screen_x(f64 x) const noexcept {
const f64 v = log_x ? log10_positive(x) : x;
return v * sx + tx;
}
f64 to_screen_y(f64 y) const noexcept {
const f64 v = log_y ? log10_positive(y) : y;
return v * sy + ty;
}
f64 to_data_x(f64 screen_x) const noexcept {
const f64 v = (screen_x - tx) / sx;
return log_x ? std::pow(10.0, v) : v;
}
f64 to_data_y(f64 screen_y) const noexcept {
const f64 v = (screen_y - ty) / sy;
return log_y ? std::pow(10.0, v) : v;
}
/// Set scale/offset so `x` and `y` map onto `[px0,px1]` and `[py0,py1]`.
/// A degenerate range is widened by +/-0.5 in the (possibly logarithmic)
/// coordinate so the resulting mapping always stays invertible.
static Transform from_range(Range x, Range y, f64 px0, f64 px1, f64 py0, f64 py1, bool lx,
bool ly) noexcept;
/// `log10` of `v`, with `v` clamped to at least 1e-300 first.
static f64 log10_positive(f64 v) noexcept;
};
} // namespace plot::math
namespace plot {
using math::Transform;
}