227 lines
9.0 KiB
C++
227 lines
9.0 KiB
C++
#include "ttf_internal.h"
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#include <string_utils.h>
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// 轮廓 → 线段转换
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//
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// TrueType 轮廓遍历：对每对连续点，发射直线或二次贝塞尔曲线。
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// 两个连续的非曲线点会触发合成一个曲线中点。
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//
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// 所有坐标全程使用 26.6 定点数。
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void ttf_outline_to_segments(const ttf_outline_t* outline,
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ttf_seg_t* segs, SUINT32* num_segs)
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{
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*num_segs = 0;
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f26_6 syn_x[256];
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f26_6 syn_y[256];
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int n_syn = 0;
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for (SUINT16 ci = 0; ci < outline->num_contours; ci++) {
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SUINT16 first = outline->first[ci];
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SUINT16 last = outline->last[ci];
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int n_pts = last - first + 1;
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if (n_pts < 2) continue;
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f26_6 lx[1024];
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f26_6 ly[1024];
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SUINT8 on_c[1024];
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for (int i = 0; i < n_pts; i++) {
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lx[i] = outline->x[first + i];
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ly[i] = outline->y[first + i];
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on_c[i] = outline->on_curve[first + i];
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}
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// First on-curve point
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int start = 0;
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while (start < n_pts && !on_c[start]) start++;
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if (start == n_pts) start = 0; // all off-curve (rare) — keep going
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int anchor = start;
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int pending = -1;
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#define GET_X(i) ((i) < n_pts ? lx[(i)] : syn_x[(i) - n_pts])
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#define GET_Y(i) ((i) < n_pts ? ly[(i)] : syn_y[(i) - n_pts])
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#define PUSH_LINE(a, b) do { \
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ttf_seg_t* __s = &segs[(*num_segs)++]; \
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__s->x0 = GET_X(a); __s->y0 = GET_Y(a); \
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__s->x1 = GET_X(b); __s->y1 = GET_Y(b); \
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__s->cx = __s->x0; __s->cy = __s->y0; __s->is_line = 1; \
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} while (0)
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#define PUSH_QUAD(a, c, b) do { \
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ttf_seg_t* __s = &segs[(*num_segs)++]; \
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__s->x0 = GET_X(a); __s->y0 = GET_Y(a); \
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__s->x1 = GET_X(b); __s->y1 = GET_Y(b); \
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__s->cx = GET_X(c); __s->cy = GET_Y(c); __s->is_line = 0; \
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} while (0)
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for (int step = 0; step < n_pts; step++) {
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int cur = (start + step) % n_pts;
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if (step == 0) { anchor = cur; continue; }
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if (on_c[cur]) {
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if (pending < 0) {
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PUSH_LINE(anchor, cur);
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} else {
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PUSH_QUAD(anchor, pending, cur);
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pending = -1;
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}
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anchor = cur;
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} else {
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if (pending < 0) {
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pending = cur;
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} else {
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int syn_idx = n_pts + n_syn;
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syn_x[n_syn] = (GET_X(pending) + GET_X(cur)) >> 1;
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syn_y[n_syn] = (GET_Y(pending) + GET_Y(cur)) >> 1;
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n_syn++;
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PUSH_QUAD(anchor, pending, syn_idx);
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anchor = syn_idx;
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pending = cur;
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}
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}
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}
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if (pending >= 0) {
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PUSH_QUAD(anchor, pending, start);
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} else if (anchor != start) {
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PUSH_LINE(anchor, start);
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}
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#undef GET_X
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#undef GET_Y
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#undef PUSH_LINE
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#undef PUSH_QUAD
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}
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}
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// 整数平方根（牛顿法）
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static SUINT32 isqrt_u64(SUINT64 n) {
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if (n == 0) return 0;
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SUINT32 x = (n > 0xFFFFFFFFu) ? 0xFFFFu : (SUINT32)n;
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SUINT32 y = (x + 1) >> 1;
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while (y < x) { x = y; y = (x + (SUINT32)(n / x)) >> 1; }
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return x;
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}
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// 扫描线填充 + 子像素超采样
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//
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// 对每个输出行，运行 N 条子扫描线，偏移为 (k+0.5)/N。
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// 对每条子扫描线 y，收集所有 x 交点，排序后交替填充 x 对。
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// 对 N 个子采样求和得到每个像素的覆盖率 [0, N]。
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void ttf_rasterize(const ttf_seg_t* segs, SUINT32 num_segs,
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SSINT32 x0, SSINT32 y0, SUINT32 w, SUINT32 h,
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SUINT8* coverage, SUINT32 N)
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{
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// 清空覆盖率缓冲区
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for (SUINT32 i = 0; i < w * h; i++) coverage[i] = 0;
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// 交点 x 缓冲区（每扫描线，最大可能数 = num_segs）
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f26_6 xs[2048];
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if (num_segs > 2048) num_segs = 2048;
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for (SUINT32 row = 0; row < h; row++) {
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for (SUINT32 k = 0; k < N; k++) {
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// Sub-scanline y, in 26.6, with y = 0 at glyph top
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f26_6 sy = (f26_6)((row * 64) + ((k * 2 + 1) * 64) / (SSINT32)(N * 2));
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// ^ y center of subpixel k: (k + 0.5) * 64 / N
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// = ((2k+1) * 64) / (2N)
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// For N=5: k=0 -> 6.4, k=1 -> 19.2, etc.
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SUINT32 nxs = 0;
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for (SUINT32 s = 0; s < num_segs; s++) {
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const ttf_seg_t* g = &segs[s];
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if (g->is_line) {
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f26_6 y0s = g->y0;
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f26_6 y1s = g->y1;
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if (y0s == y1s) continue; // horizontal — skip
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// t = (sy - y0s) / (y1s - y0s) in (0, 1)
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if (((y0s < sy) && (y1s < sy)) ||
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((y0s > sy) && (y1s > sy))) continue;
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f26_6 t = f26_div(sy - y0s, y1s - y0s);
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if (t <= 0 || t >= F26_ONE) continue;
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f26_6 x = g->x0 + f26_mul(t, g->x1 - g->x0);
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xs[nxs++] = x;
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} else {
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// Quadratic: y(t) = (1-t)^2 y0 + 2(1-t)t cy + t^2 y1
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// a t^2 + b t + c = 0
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// a = y1 - 2 cy + y0
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// b = 2 (cy - y0)
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// c = y0 - sy
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SSINT64 a = (SSINT64)g->y1 - 2 * (SSINT64)g->cy + (SSINT64)g->y0;
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SSINT64 b = 2 * ((SSINT64)g->cy - (SSINT64)g->y0);
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SSINT64 c = (SSINT64)g->y0 - (SSINT64)sy;
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SSINT32 t0_valid = 0, t1_valid = 0;
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f26_6 t0 = 0, t1 = 0;
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if (a == 0) {
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// Linear
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if (b == 0) continue;
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f26_6 t = f26_div((f26_6)(-c), (f26_6)b);
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if (t > 0 && t < F26_ONE) { t0 = t; t0_valid = 1; }
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} else {
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SSINT64 disc = b * b - 4 * a * c;
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if (disc < 0) continue;
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SUINT32 sq = isqrt_u64((SUINT64)disc);
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// 26.6 roots: t = (-b ± sqrt(disc)) / (2a)
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// All in 26.6 fp.
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// t = (-b ± sq) / (2a); both numerator and denom in 26.6 units
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// Use f26_div: t_26_6 = ((-b ± sq) << 6) / (2a)
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SSINT64 denom = 2 * a;
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if (denom == 0) continue;
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SSINT64 num0 = -b + (SSINT64)sq;
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SSINT64 num1 = -b - (SSINT64)sq;
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t0 = (f26_6)(num0 == 0 ? 0 : (num0 << 6) / denom);
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t1 = (f26_6)(num1 == 0 ? 0 : (num1 << 6) / denom);
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if (t0 > 0 && t0 < F26_ONE) t0_valid = 1;
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if (t1 > 0 && t1 < F26_ONE) t1_valid = 1;
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}
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if (t0_valid) {
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// x(t) = (1-t)^2 x0 + 2(1-t)t cx + t^2 x1
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f26_6 omt = F26_ONE - t0;
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f26_6 x = f26_mul(f26_mul(omt, omt), g->x0)
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+ f26_mul(2 * f26_mul(omt, t0), g->cx)
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+ f26_mul(f26_mul(t0, t0), g->x1);
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xs[nxs++] = x;
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}
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if (t1_valid) {
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f26_6 omt = F26_ONE - t1;
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f26_6 x = f26_mul(f26_mul(omt, omt), g->x0)
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+ f26_mul(2 * f26_mul(omt, t1), g->cx)
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+ f26_mul(f26_mul(t1, t1), g->x1);
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xs[nxs++] = x;
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}
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}
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}
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if (nxs < 2) continue;
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// Insertion sort
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for (SUINT32 i = 1; i < nxs; i++) {
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f26_6 v = xs[i]; SUINT32 j = i;
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while (j > 0 && xs[j-1] > v) { xs[j] = xs[j-1]; j--; }
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xs[j] = v;
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}
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// Deduplicate: merge intersections within 1/16 pixel (4 in 26.6)
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SUINT32 nxd = 0;
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for (SUINT32 i = 0; i < nxs; i++) {
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if (nxd > 0 && (xs[i] - xs[nxd - 1]) < 4) {
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continue;
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}
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xs[nxd++] = xs[i];
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}
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nxs = nxd;
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// Fill alternating pairs
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for (SUINT32 i = 0; i + 1 < nxs; i += 2) {
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f26_6 xa = xs[i];
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f26_6 xb = xs[i+1];
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if (xa == xb) continue;
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SSINT32 c0 = F26_FLOOR(xa);
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SSINT32 c1 = F26_FLOOR(xb);
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if (c0 == c1) continue;
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if (c0 < 0) c0 = 0;
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if (c1 > (SSINT32)w) c1 = (SSINT32)w;
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for (SSINT32 x = c0; x < c1; x++) {
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if (x >= 0 && x < (SSINT32)w) coverage[row * w + x]++;
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}
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}
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}
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}
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// 覆盖率转换在调用端通过 N 完成
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(void)x0; (void)y0;
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}
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