diff options
author | K. S. Ernest (iFire) Lee <ernest.lee@chibifire.com> | 2022-01-13 13:54:19 +0100 |
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committer | Rémi Verschelde <rverschelde@gmail.com> | 2022-01-14 15:49:39 +0100 |
commit | 8d02759c720c3a91663e56979273feabad1dc051 (patch) | |
tree | b939f28feb3224d4c4d2e39d12ef191157e2664b /thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp | |
parent | 9b3535a33a1dda541a3a39e7786b8428fadbff6c (diff) |
Use ThorVG instead of NanoSVG for importing SVGs
ThorVG is a platform-independent portable library for drawing vector-based
scene and animation.
Co-authored-by: Rémi Verschelde <rverschelde@gmail.com>
Diffstat (limited to 'thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp')
-rw-r--r-- | thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp | 502 |
1 files changed, 502 insertions, 0 deletions
diff --git a/thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp b/thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp new file mode 100644 index 0000000000..7a3529bd69 --- /dev/null +++ b/thirdparty/thorvg/src/lib/sw_engine/tvgSwMath.cpp @@ -0,0 +1,502 @@ +/* + * Copyright (c) 2020-2021 Samsung Electronics Co., Ltd. All rights reserved. + + * Permission is hereby granted, free of charge, to any person obtaining a copy + * of this software and associated documentation files (the "Software"), to deal + * in the Software without restriction, including without limitation the rights + * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell + * copies of the Software, and to permit persons to whom the Software is + * furnished to do so, subject to the following conditions: + + * The above copyright notice and this permission notice shall be included in all + * copies or substantial portions of the Software. + + * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR + * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, + * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE + * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER + * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, + * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE + * SOFTWARE. + */ +#include <math.h> +#include "tvgSwCommon.h" + + +/************************************************************************/ +/* Internal Class Implementation */ +/************************************************************************/ + +//clz: count leading zero’s +#if defined(_MSC_VER) && !defined(__clang__) + #include <intrin.h> + static uint32_t __inline _clz(uint32_t value) + { + unsigned long leadingZero = 0; + if (_BitScanReverse(&leadingZero, value)) return 31 - leadingZero; + else return 32; + } +#else + #define _clz(x) __builtin_clz((x)) +#endif + + +constexpr SwFixed CORDIC_FACTOR = 0xDBD95B16UL; //the Cordic shrink factor 0.858785336480436 * 2^32 + +//this table was generated for SW_FT_PI = 180L << 16, i.e. degrees +constexpr static auto ATAN_MAX = 23; +constexpr static SwFixed ATAN_TBL[] = { + 1740967L, 919879L, 466945L, 234379L, 117304L, 58666L, 29335L, + 14668L, 7334L, 3667L, 1833L, 917L, 458L, 229L, 115L, + 57L, 29L, 14L, 7L, 4L, 2L, 1L}; + +static inline SwCoord SATURATE(const SwCoord x) +{ + return (x >> (sizeof(SwCoord) * 8 - 1)); +} + + +static inline SwFixed PAD_ROUND(const SwFixed x, int32_t n) +{ + return (((x) + ((n)/2)) & ~((n)-1)); +} + + +static SwCoord _downscale(SwFixed x) +{ + //multiply a give value by the CORDIC shrink factor + auto s = abs(x); + int64_t t = (s * static_cast<int64_t>(CORDIC_FACTOR)) + 0x100000000UL; + s = static_cast<SwFixed>(t >> 32); + if (x < 0) s = -s; + return s; +} + + +static int32_t _normalize(SwPoint& pt) +{ + /* the highest bit in overflow-safe vector components + MSB of 0.858785336480436 * sqrt(0.5) * 2^30 */ + constexpr auto SAFE_MSB = 29; + + auto v = pt; + + //High order bit(MSB) + int32_t shift = 31 - _clz(abs(v.x) | abs(v.y)); + + if (shift <= SAFE_MSB) { + shift = SAFE_MSB - shift; + pt.x = static_cast<SwCoord>((unsigned long)v.x << shift); + pt.y = static_cast<SwCoord>((unsigned long)v.y << shift); + } else { + shift -= SAFE_MSB; + pt.x = v.x >> shift; + pt.y = v.y >> shift; + shift = -shift; + } + return shift; +} + + +static void _polarize(SwPoint& pt) +{ + auto v = pt; + SwFixed theta; + + //Get the vector into [-PI/4, PI/4] sector + if (v.y > v.x) { + if (v.y > -v.x) { + auto tmp = v.y; + v.y = -v.x; + v.x = tmp; + theta = SW_ANGLE_PI2; + } else { + theta = v.y > 0 ? SW_ANGLE_PI : -SW_ANGLE_PI; + v.x = -v.x; + v.y = -v.y; + } + } else { + if (v.y < -v.x) { + theta = -SW_ANGLE_PI2; + auto tmp = -v.y; + v.y = v.x; + v.x = tmp; + } else { + theta = 0; + } + } + + auto atan = ATAN_TBL; + uint32_t i; + SwFixed j; + + //Pseudorotations. with right shifts + for (i = 1, j = 1; i < ATAN_MAX; j <<= 1, ++i) { + if (v.y > 0) { + auto tmp = v.x + ((v.y + j) >> i); + v.y = v.y - ((v.x + j) >> i); + v.x = tmp; + theta += *atan++; + } else { + auto tmp = v.x - ((v.y + j) >> i); + v.y = v.y + ((v.x + j) >> i); + v.x = tmp; + theta -= *atan++; + } + } + + //round theta + if (theta >= 0) theta = PAD_ROUND(theta, 32); + else theta = -PAD_ROUND(-theta, 32); + + pt.x = v.x; + pt.y = theta; +} + + +static void _rotate(SwPoint& pt, SwFixed theta) +{ + SwFixed x = pt.x; + SwFixed y = pt.y; + + //Rotate inside [-PI/4, PI/4] sector + while (theta < -SW_ANGLE_PI4) { + auto tmp = y; + y = -x; + x = tmp; + theta += SW_ANGLE_PI2; + } + + while (theta > SW_ANGLE_PI4) { + auto tmp = -y; + y = x; + x = tmp; + theta -= SW_ANGLE_PI2; + } + + auto atan = ATAN_TBL; + uint32_t i; + SwFixed j; + + for (i = 1, j = 1; i < ATAN_MAX; j <<= 1, ++i) { + if (theta < 0) { + auto tmp = x + ((y + j) >> i); + y = y - ((x + j) >> i); + x = tmp; + theta += *atan++; + } else { + auto tmp = x - ((y + j) >> i); + y = y + ((x + j) >> i); + x = tmp; + theta -= *atan++; + } + } + + pt.x = static_cast<SwCoord>(x); + pt.y = static_cast<SwCoord>(y); +} + + +/************************************************************************/ +/* External Class Implementation */ +/************************************************************************/ + +SwFixed mathMean(SwFixed angle1, SwFixed angle2) +{ + return angle1 + mathDiff(angle1, angle2) / 2; +} + + +bool mathSmallCubic(const SwPoint* base, SwFixed& angleIn, SwFixed& angleMid, SwFixed& angleOut) +{ + auto d1 = base[2] - base[3]; + auto d2 = base[1] - base[2]; + auto d3 = base[0] - base[1]; + + if (d1.small()) { + if (d2.small()) { + if (d3.small()) { + //basically a point. + //do nothing to retain original direction + } else { + angleIn = angleMid = angleOut = mathAtan(d3); + } + } else { + if (d3.small()) { + angleIn = angleMid = angleOut = mathAtan(d2); + } else { + angleIn = angleMid = mathAtan(d2); + angleOut = mathAtan(d3); + } + } + } else { + if (d2.small()) { + if (d3.small()) { + angleIn = angleMid = angleOut = mathAtan(d1); + } else { + angleIn = mathAtan(d1); + angleOut = mathAtan(d3); + angleMid = mathMean(angleIn, angleOut); + } + } else { + if (d3.small()) { + angleIn = mathAtan(d1); + angleMid = angleOut = mathAtan(d2); + } else { + angleIn = mathAtan(d1); + angleMid = mathAtan(d2); + angleOut = mathAtan(d3); + } + } + } + + auto theta1 = abs(mathDiff(angleIn, angleMid)); + auto theta2 = abs(mathDiff(angleMid, angleOut)); + + if ((theta1 < (SW_ANGLE_PI / 8)) && (theta2 < (SW_ANGLE_PI / 8))) return true; + return false; +} + + +int64_t mathMultiply(int64_t a, int64_t b) +{ + int32_t s = 1; + + //move sign + if (a < 0) { + a = -a; + s = -s; + } + if (b < 0) { + b = -b; + s = -s; + } + int64_t c = (a * b + 0x8000L) >> 16; + return (s > 0) ? c : -c; +} + + +int64_t mathDivide(int64_t a, int64_t b) +{ + int32_t s = 1; + + //move sign + if (a < 0) { + a = -a; + s = -s; + } + if (b < 0) { + b = -b; + s = -s; + } + int64_t q = b > 0 ? ((a << 16) + (b >> 1)) / b : 0x7FFFFFFFL; + return (s < 0 ? -q : q); +} + + +int64_t mathMulDiv(int64_t a, int64_t b, int64_t c) +{ + int32_t s = 1; + + //move sign + if (a < 0) { + a = -a; + s = -s; + } + if (b < 0) { + b = -b; + s = -s; + } + if (c < 0) { + c = -c; + s = -s; + } + int64_t d = c > 0 ? (a * b + (c >> 1)) / c : 0x7FFFFFFFL; + + return (s > 0 ? d : -d); +} + + +void mathRotate(SwPoint& pt, SwFixed angle) +{ + if (angle == 0 || (pt.x == 0 && pt.y == 0)) return; + + auto v = pt; + auto shift = _normalize(v); + + auto theta = angle; + _rotate(v, theta); + + v.x = _downscale(v.x); + v.y = _downscale(v.y); + + if (shift > 0) { + auto half = static_cast<int32_t>(1L << (shift - 1)); + pt.x = (v.x + half + SATURATE(v.x)) >> shift; + pt.y = (v.y + half + SATURATE(v.y)) >> shift; + } else { + shift = -shift; + pt.x = static_cast<SwCoord>((unsigned long)v.x << shift); + pt.y = static_cast<SwCoord>((unsigned long)v.y << shift); + } +} + +SwFixed mathTan(SwFixed angle) +{ + SwPoint v = {CORDIC_FACTOR >> 8, 0}; + _rotate(v, angle); + return mathDivide(v.y, v.x); +} + + +SwFixed mathAtan(const SwPoint& pt) +{ + if (pt.x == 0 && pt.y == 0) return 0; + + auto v = pt; + _normalize(v); + _polarize(v); + + return v.y; +} + + +SwFixed mathSin(SwFixed angle) +{ + return mathCos(SW_ANGLE_PI2 - angle); +} + + +SwFixed mathCos(SwFixed angle) +{ + SwPoint v = {CORDIC_FACTOR >> 8, 0}; + _rotate(v, angle); + return (v.x + 0x80L) >> 8; +} + + +SwFixed mathLength(const SwPoint& pt) +{ + auto v = pt; + + //trivial case + if (v.x == 0) return abs(v.y); + if (v.y == 0) return abs(v.x); + + //general case + auto shift = _normalize(v); + _polarize(v); + v.x = _downscale(v.x); + + if (shift > 0) return (v.x + (static_cast<SwFixed>(1) << (shift -1))) >> shift; + return static_cast<SwFixed>((uint32_t)v.x << -shift); +} + + +void mathSplitCubic(SwPoint* base) +{ + SwCoord a, b, c, d; + + base[6].x = base[3].x; + c = base[1].x; + d = base[2].x; + base[1].x = a = (base[0].x + c) / 2; + base[5].x = b = (base[3].x + d) / 2; + c = (c + d) / 2; + base[2].x = a = (a + c) / 2; + base[4].x = b = (b + c) / 2; + base[3].x = (a + b) / 2; + + base[6].y = base[3].y; + c = base[1].y; + d = base[2].y; + base[1].y = a = (base[0].y + c) / 2; + base[5].y = b = (base[3].y + d) / 2; + c = (c + d) / 2; + base[2].y = a = (a + c) / 2; + base[4].y = b = (b + c) / 2; + base[3].y = (a + b) / 2; +} + + +SwFixed mathDiff(SwFixed angle1, SwFixed angle2) +{ + auto delta = angle2 - angle1; + + delta %= SW_ANGLE_2PI; + if (delta < 0) delta += SW_ANGLE_2PI; + if (delta > SW_ANGLE_PI) delta -= SW_ANGLE_2PI; + + return delta; +} + + +SwPoint mathTransform(const Point* to, const Matrix* transform) +{ + if (!transform) return {TO_SWCOORD(to->x), TO_SWCOORD(to->y)}; + + auto tx = to->x * transform->e11 + to->y * transform->e12 + transform->e13; + auto ty = to->x * transform->e21 + to->y * transform->e22 + transform->e23; + + return {TO_SWCOORD(tx), TO_SWCOORD(ty)}; +} + + +bool mathClipBBox(const SwBBox& clipper, SwBBox& clipee) +{ + clipee.max.x = (clipee.max.x < clipper.max.x) ? clipee.max.x : clipper.max.x; + clipee.max.y = (clipee.max.y < clipper.max.y) ? clipee.max.y : clipper.max.y; + clipee.min.x = (clipee.min.x > clipper.min.x) ? clipee.min.x : clipper.min.x; + clipee.min.y = (clipee.min.y > clipper.min.y) ? clipee.min.y : clipper.min.y; + + //Check valid region + if (clipee.max.x - clipee.min.x < 1 && clipee.max.y - clipee.min.y < 1) return false; + + //Check boundary + if (clipee.min.x >= clipper.max.x || clipee.min.y >= clipper.max.y || + clipee.max.x <= clipper.min.x || clipee.max.y <= clipper.min.y) return false; + + return true; +} + + +bool mathUpdateOutlineBBox(const SwOutline* outline, const SwBBox& clipRegion, SwBBox& renderRegion, bool fastTrack) +{ + if (!outline) return false; + + auto pt = outline->pts; + + if (outline->ptsCnt == 0 || outline->cntrsCnt <= 0) { + renderRegion.reset(); + return false; + } + + auto xMin = pt->x; + auto xMax = pt->x; + auto yMin = pt->y; + auto yMax = pt->y; + + ++pt; + + for (uint32_t i = 1; i < outline->ptsCnt; ++i, ++pt) { + if (xMin > pt->x) xMin = pt->x; + if (xMax < pt->x) xMax = pt->x; + if (yMin > pt->y) yMin = pt->y; + if (yMax < pt->y) yMax = pt->y; + } + //Since no antialiasing is applied in the Fast Track case, + //the rasterization region has to be rearranged. + //https://github.com/Samsung/thorvg/issues/916 + if (fastTrack) { + renderRegion.min.x = static_cast<SwCoord>(round(xMin / 64.0f)); + renderRegion.max.x = static_cast<SwCoord>(round(xMax / 64.0f)); + renderRegion.min.y = static_cast<SwCoord>(round(yMin / 64.0f)); + renderRegion.max.y = static_cast<SwCoord>(round(yMax / 64.0f)); + } else { + renderRegion.min.x = xMin >> 6; + renderRegion.max.x = (xMax + 63) >> 6; + renderRegion.min.y = yMin >> 6; + renderRegion.max.y = (yMax + 63) >> 6; + } + return mathClipBBox(clipRegion, renderRegion); +}
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