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Diffstat (limited to 'src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-solver.cc')
| -rw-r--r-- | src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-solver.cc | 464 |
1 files changed, 464 insertions, 0 deletions
diff --git a/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-solver.cc b/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-solver.cc new file mode 100644 index 0000000000..5c0f43ad4b --- /dev/null +++ b/src/3rdparty/harfbuzz-ng/src/hb-subset-instancer-solver.cc @@ -0,0 +1,464 @@ +/* + * Copyright © 2023 Behdad Esfahbod + * + * This is part of HarfBuzz, a text shaping library. + * + * Permission is hereby granted, without written agreement and without + * license or royalty fees, to use, copy, modify, and distribute this + * software and its documentation for any purpose, provided that the + * above copyright notice and the following two paragraphs appear in + * all copies of this software. + * + * IN NO EVENT SHALL THE COPYRIGHT HOLDER BE LIABLE TO ANY PARTY FOR + * DIRECT, INDIRECT, SPECIAL, INCIDENTAL, OR CONSEQUENTIAL DAMAGES + * ARISING OUT OF THE USE OF THIS SOFTWARE AND ITS DOCUMENTATION, EVEN + * IF THE COPYRIGHT HOLDER HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH + * DAMAGE. + * + * THE COPYRIGHT HOLDER SPECIFICALLY DISCLAIMS ANY WARRANTIES, INCLUDING, + * BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND + * FITNESS FOR A PARTICULAR PURPOSE. THE SOFTWARE PROVIDED HEREUNDER IS + * ON AN "AS IS" BASIS, AND THE COPYRIGHT HOLDER HAS NO OBLIGATION TO + * PROVIDE MAINTENANCE, SUPPORT, UPDATES, ENHANCEMENTS, OR MODIFICATIONS. + */ + +#include "hb.hh" + +/* This file is a straight port of the following: + * + * https://github.com/fonttools/fonttools/blob/f73220816264fc383b8a75f2146e8d69e455d398/Lib/fontTools/varLib/instancer/solver.py + * + * Where that file returns None for a triple, we return Triple{}. + * This should be safe. + */ + +constexpr static float EPSILON = 1.f / (1 << 14); +constexpr static float MAX_F2DOT14 = float (0x7FFF) / (1 << 14); + +struct Triple { + + Triple () : + minimum (0.f), middle (0.f), maximum (0.f) {} + + Triple (float minimum_, float middle_, float maximum_) : + minimum (minimum_), middle (middle_), maximum (maximum_) {} + + bool operator == (const Triple &o) const + { + return minimum == o.minimum && + middle == o.middle && + maximum == o.maximum; + } + + float minimum; + float middle; + float maximum; +}; + +static inline Triple _reverse_negate(const Triple &v) +{ return {-v.maximum, -v.middle, -v.minimum}; } + + +static inline float supportScalar (float coord, const Triple &tent) +{ + /* Copied from VarRegionAxis::evaluate() */ + float start = tent.minimum, peak = tent.middle, end = tent.maximum; + + if (unlikely (start > peak || peak > end)) + return 1.; + if (unlikely (start < 0 && end > 0 && peak != 0)) + return 1.; + + if (peak == 0 || coord == peak) + return 1.; + + if (coord <= start || end <= coord) + return 0.; + + /* Interpolate */ + if (coord < peak) + return (coord - start) / (peak - start); + else + return (end - coord) / (end - peak); +} + + +using result_item_t = hb_pair_t<float, Triple>; +using result_t = hb_vector_t<result_item_t>; + +static inline result_t +_solve (Triple tent, Triple axisLimit, bool negative = false) +{ + float axisMin = axisLimit.minimum; + float axisDef = axisLimit.middle; + float axisMax = axisLimit.maximum; + float lower = tent.minimum; + float peak = tent.middle; + float upper = tent.maximum; + + // Mirror the problem such that axisDef <= peak + if (axisDef > peak) + { + result_t vec = _solve (_reverse_negate (tent), + _reverse_negate (axisLimit), + !negative); + + for (auto &p : vec) + p = hb_pair (p.first, _reverse_negate (p.second)); + + return vec; + } + // axisDef <= peak + + /* case 1: The whole deltaset falls outside the new limit; we can drop it + * + * peak + * 1.........................................o.......... + * / \ + * / \ + * / \ + * / \ + * 0---|-----------|----------|-------- o o----1 + * axisMin axisDef axisMax lower upper + */ + if (axisMax <= lower && axisMax < peak) + return result_t{}; // No overlap + + /* case 2: Only the peak and outermost bound fall outside the new limit; + * we keep the deltaset, update peak and outermost bound and and scale deltas + * by the scalar value for the restricted axis at the new limit, and solve + * recursively. + * + * |peak + * 1...............................|.o.......... + * |/ \ + * / \ + * /| \ + * / | \ + * 0--------------------------- o | o----1 + * lower | upper + * | + * axisMax + * + * Convert to: + * + * 1............................................ + * | + * o peak + * /| + * /x| + * 0--------------------------- o o upper ----1 + * lower | + * | + * axisMax + */ + if (axisMax < peak) + { + float mult = supportScalar (axisMax, tent); + tent = Triple{lower, axisMax, axisMax}; + + result_t vec = _solve (tent, axisLimit); + + for (auto &p : vec) + p = hb_pair (p.first * mult, p.second); + + return vec; + } + + // lower <= axisDef <= peak <= axisMax + + float gain = supportScalar (axisDef, tent); + result_t out {hb_pair (gain, Triple{})}; + + // First, the positive side + + // outGain is the scalar of axisMax at the tent. + float outGain = supportScalar (axisMax, tent); + + /* Case 3a: Gain is more than outGain. The tent down-slope crosses + * the axis into negative. We have to split it into multiples. + * + * | peak | + * 1...................|.o.....|.............. + * |/x\_ | + * gain................+....+_.|.............. + * /| |y\| + * ................../.|....|..+_......outGain + * / | | | \ + * 0---|-----------o | | | o----------1 + * axisMin lower | | | upper + * | | | + * axisDef | axisMax + * | + * crossing + */ + if (gain > outGain) + { + // Crossing point on the axis. + float crossing = peak + ((1 - gain) * (upper - peak) / (1 - outGain)); + + Triple loc{peak, peak, crossing}; + float scalar = 1.f; + + // The part before the crossing point. + out.push (hb_pair (scalar - gain, loc)); + + /* The part after the crossing point may use one or two tents, + * depending on whether upper is before axisMax or not, in one + * case we need to keep it down to eternity. + * + * Case 3a1, similar to case 1neg; just one tent needed, as in + * the drawing above. + */ + if (upper >= axisMax) + { + Triple loc {crossing, axisMax, axisMax}; + float scalar = supportScalar (axisMax, tent); + + out.push (hb_pair (scalar - gain, loc)); + } + + /* Case 3a2: Similar to case 2neg; two tents needed, to keep + * down to eternity. + * + * | peak | + * 1...................|.o................|... + * |/ \_ | + * gain................+....+_............|... + * /| | \xxxxxxxxxxy| + * / | | \_xxxxxyyyy| + * / | | \xxyyyyyy| + * 0---|-----------o | | o-------|--1 + * axisMin lower | | upper | + * | | | + * axisDef | axisMax + * | + * crossing + */ + else + { + // A tent's peak cannot fall on axis default. Nudge it. + if (upper == axisDef) + upper += EPSILON; + + // Downslope. + Triple loc1 {crossing, upper, axisMax}; + float scalar1 = 0.f; + + // Eternity justify. + Triple loc2 {upper, axisMax, axisMax}; + float scalar2 = 1.f; // supportScalar({"tag": axisMax}, {"tag": tent}) + + out.push (hb_pair (scalar1 - gain, loc1)); + out.push (hb_pair (scalar2 - gain, loc2)); + } + } + + /* Case 3: Outermost limit still fits within F2Dot14 bounds; + * we keep deltas as is and only scale the axes bounds. Deltas beyond -1.0 + * or +1.0 will never be applied as implementations must clamp to that range. + * + * A second tent is needed for cases when gain is positive, though we add it + * unconditionally and it will be dropped because scalar ends up 0. + * + * TODO: See if we can just move upper closer to adjust the slope, instead of + * second tent. + * + * | peak | + * 1.........|............o...|.................. + * | /x\ | + * | /xxx\ | + * | /xxxxx\| + * | /xxxxxxx+ + * | /xxxxxxxx|\ + * 0---|-----|------oxxxxxxxxx|xo---------------1 + * axisMin | lower | upper + * | | + * axisDef axisMax + */ + else if (axisDef + (axisMax - axisDef) * 2 >= upper) + { + if (!negative && axisDef + (axisMax - axisDef) * MAX_F2DOT14 < upper) + { + // we clamp +2.0 to the max F2Dot14 (~1.99994) for convenience + upper = axisDef + (axisMax - axisDef) * MAX_F2DOT14; + assert (peak < upper); + } + + // Special-case if peak is at axisMax. + if (axisMax == peak) + upper = peak; + + Triple loc1 {hb_max (axisDef, lower), peak, upper}; + float scalar1 = 1.f; + + Triple loc2 {peak, upper, upper}; + float scalar2 = 0.f; + + // Don't add a dirac delta! + if (axisDef < upper) + out.push (hb_pair (scalar1 - gain, loc1)); + if (peak < upper) + out.push (hb_pair (scalar2 - gain, loc2)); + } + + /* Case 4: New limit doesn't fit; we need to chop into two tents, + * because the shape of a triangle with part of one side cut off + * cannot be represented as a triangle itself. + * + * | peak | + * 1.........|......o.|................... + * | /x\| + * | |xxy|\_ + * | /xxxy| \_ + * | |xxxxy| \_ + * | /xxxxy| \_ + * 0---|-----|-oxxxxxx| o----------1 + * axisMin | lower | upper + * | | + * axisDef axisMax + */ + else + { + Triple loc1 {hb_max (axisDef, lower), peak, axisMax}; + float scalar1 = 1.f; + + Triple loc2 {peak, axisMax, axisMax}; + float scalar2 = supportScalar (axisMax, tent); + + out.push (hb_pair (scalar1 - gain, loc1)); + // Don't add a dirac delta! + if (peak < axisMax) + out.push (hb_pair (scalar2 - gain, loc2)); + } + + /* Now, the negative side + * + * Case 1neg: Lower extends beyond axisMin: we chop. Simple. + * + * | |peak + * 1..................|...|.o................. + * | |/ \ + * gain...............|...+...\............... + * |x_/| \ + * |/ | \ + * _/| | \ + * 0---------------o | | o----------1 + * lower | | upper + * | | + * axisMin axisDef + */ + if (lower <= axisMin) + { + Triple loc {axisMin, axisMin, axisDef}; + float scalar = supportScalar (axisMin, tent); + + out.push (hb_pair (scalar - gain, loc)); + } + + /* Case 2neg: Lower is betwen axisMin and axisDef: we add two + * tents to keep it down all the way to eternity. + * + * | |peak + * 1...|...............|.o................. + * | |/ \ + * gain|...............+...\............... + * |yxxxxxxxxxxxxx/| \ + * |yyyyyyxxxxxxx/ | \ + * |yyyyyyyyyyyx/ | \ + * 0---|-----------o | o----------1 + * axisMin lower | upper + * | + * axisDef + */ + else + { + // A tent's peak cannot fall on axis default. Nudge it. + if (lower == axisDef) + lower -= EPSILON; + + // Downslope. + Triple loc1 {axisMin, lower, axisDef}; + float scalar1 = 0.f; + + // Eternity justify. + Triple loc2 {axisMin, axisMin, lower}; + float scalar2 = 0.f; + + out.push (hb_pair (scalar1 - gain, loc1)); + out.push (hb_pair (scalar2 - gain, loc2)); + } + + return out; +} + +/* Normalizes value based on a min/default/max triple. */ +static inline float normalizeValue (float v, const Triple &triple, bool extrapolate = false) +{ + /* + >>> normalizeValue(400, (100, 400, 900)) + 0.0 + >>> normalizeValue(100, (100, 400, 900)) + -1.0 + >>> normalizeValue(650, (100, 400, 900)) + 0.5 + */ + float lower = triple.minimum, def = triple.middle, upper = triple.maximum; + assert (lower <= def && def <= upper); + + if (!extrapolate) + v = hb_max (hb_min (v, upper), lower); + + if ((v == def) || (lower == upper)) + return 0.f; + + if ((v < def && lower != def) || (v > def && upper == def)) + return (v - def) / (def - lower); + else + { + assert ((v > def && upper != def) || + (v < def && lower == def)); + return (v - def) / (upper - def); + } +} + +/* Given a tuple (lower,peak,upper) "tent" and new axis limits + * (axisMin,axisDefault,axisMax), solves how to represent the tent + * under the new axis configuration. All values are in normalized + * -1,0,+1 coordinate system. Tent values can be outside this range. + * + * Return value: a list of tuples. Each tuple is of the form + * (scalar,tent), where scalar is a multipler to multiply any + * delta-sets by, and tent is a new tent for that output delta-set. + * If tent value is Triple{}, that is a special deltaset that should + * be always-enabled (called "gain"). + */ +HB_INTERNAL result_t rebase_tent (Triple tent, Triple axisLimit); + +result_t +rebase_tent (Triple tent, Triple axisLimit) +{ + assert (-1.f <= axisLimit.minimum && axisLimit.minimum <= axisLimit.middle && axisLimit.middle <= axisLimit.maximum && axisLimit.maximum <= +1.f); + assert (-2.f <= tent.minimum && tent.minimum <= tent.middle && tent.middle <= tent.maximum && tent.maximum <= +2.f); + assert (tent.middle != 0.f); + + result_t sols = _solve (tent, axisLimit); + + auto n = [&axisLimit] (float v) { return normalizeValue (v, axisLimit, true); }; + + result_t out; + for (auto &p : sols) + { + if (!p.first) continue; + if (p.second == Triple{}) + { + out.push (p); + continue; + } + Triple t = p.second; + out.push (hb_pair (p.first, + Triple{n (t.minimum), n (t.middle), n (t.maximum)})); + } + + return sols; +} |