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      1 /*
      2     Copyright 2011 Google Inc.
      3 
      4     Licensed under the Apache License, Version 2.0 (the "License");
      5     you may not use this file except in compliance with the License.
      6     You may obtain a copy of the License at
      7 
      8     http://www.apache.org/licenses/LICENSE-2.0
      9 
     10     Unless required by applicable law or agreed to in writing, software
     11     distributed under the License is distributed on an "AS IS" BASIS,
     12     WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
     13     See the License for the specific language governing permissions and
     14     limitations under the License.
     15  */
     16 
     17 #include "SkClampRange.h"
     18 
     19 /*
     20  *  returns [0..count] for the number of steps (<= count) for which x0 <= edge
     21  *  given each step is followed by x0 += dx
     22  */
     23 static int chop(int64_t x0, SkFixed edge, int64_t x1, int64_t dx, int count) {
     24     SkASSERT(dx > 0);
     25     SkASSERT(count >= 0);
     26 
     27     if (x0 >= edge) {
     28         return 0;
     29     }
     30     if (x1 <= edge) {
     31         return count;
     32     }
     33     int64_t n = (edge - x0 + dx - 1) / dx;
     34     SkASSERT(n >= 0);
     35     SkASSERT(n <= count);
     36     return (int)n;
     37 }
     38 
     39 static bool overflows_fixed(int64_t x) {
     40     return x < -SK_FixedMax || x > SK_FixedMax;
     41 }
     42 
     43 void SkClampRange::initFor1(SkFixed fx) {
     44     fCount0 = fCount1 = fCount2 = 0;
     45     if (fx <= 0) {
     46         fCount0 = 1;
     47     } else if (fx < 0xFFFF) {
     48         fCount1 = 1;
     49         fFx1 = fx;
     50     } else {
     51         fCount2 = 1;
     52     }
     53 }
     54 
     55 void SkClampRange::init(SkFixed fx0, SkFixed dx0, int count, int v0, int v1) {
     56     SkASSERT(count > 0);
     57 
     58     fV0 = v0;
     59     fV1 = v1;
     60     fOverflowed = false;
     61 
     62     // special case 1 == count, as it is slightly common for skia
     63     // and avoids us ever calling divide or 64bit multiply
     64     if (1 == count) {
     65         this->initFor1(fx0);
     66         return;
     67     }
     68 
     69     int64_t fx = fx0;
     70     int64_t dx = dx0;
     71     // start with ex equal to the last computed value
     72     int64_t ex = fx + (count - 1) * dx;
     73     fOverflowed = overflows_fixed(ex);
     74 
     75     if ((uint64_t)(fx | ex) <= 0xFFFF) {
     76         fCount0 = fCount2 = 0;
     77         fCount1 = count;
     78         fFx1 = fx0;
     79         return;
     80     }
     81     if (fx <= 0 && ex <= 0) {
     82         fCount1 = fCount2 = 0;
     83         fCount0 = count;
     84         return;
     85     }
     86     if (fx >= 0xFFFF && ex >= 0xFFFF) {
     87         fCount0 = fCount1 = 0;
     88         fCount2 = count;
     89         return;
     90     }
     91 
     92     int extraCount = 0;
     93 
     94     // now make ex be 1 past the last computed value
     95     ex += dx;
     96     fOverflowed = overflows_fixed(ex);
     97     // now check for over/under flow
     98     if (fOverflowed) {
     99         int originalCount = count;
    100         int64_t ccount;
    101         bool swap = dx < 0;
    102         if (swap) {
    103             dx = -dx;
    104             fx = -fx;
    105         }
    106         ccount = (SK_FixedMax - fx + dx - 1) / dx;
    107         if (swap) {
    108             dx = -dx;
    109             fx = -fx;
    110         }
    111         SkASSERT(ccount > 0 && ccount <= SK_FixedMax);
    112 
    113         count = (int)ccount;
    114         if (0 == count) {
    115             this->initFor1(fx0);
    116             if (dx > 0) {
    117                 fCount2 += originalCount - 1;
    118             } else {
    119                 fCount0 += originalCount - 1;
    120             }
    121             return;
    122         }
    123         extraCount = originalCount - count;
    124         ex = fx + dx * count;
    125     }
    126 
    127     bool doSwap = dx < 0;
    128 
    129     if (doSwap) {
    130         ex -= dx;
    131         fx -= dx;
    132         SkTSwap(fx, ex);
    133         dx = -dx;
    134     }
    135 
    136 
    137     fCount0 = chop(fx, 0, ex, dx, count);
    138     count -= fCount0;
    139     fx += fCount0 * dx;
    140     SkASSERT(fx >= 0);
    141     SkASSERT(fCount0 == 0 || (fx - dx) < 0);
    142     fCount1 = chop(fx, 0xFFFF, ex, dx, count);
    143     count -= fCount1;
    144     fCount2 = count;
    145 
    146 #ifdef SK_DEBUG
    147     fx += fCount1 * dx;
    148     SkASSERT(fx <= ex);
    149     if (fCount2 > 0) {
    150         SkASSERT(fx >= 0xFFFF);
    151         if (fCount1 > 0) {
    152             SkASSERT(fx - dx < 0xFFFF);
    153         }
    154     }
    155 #endif
    156 
    157     if (doSwap) {
    158         SkTSwap(fCount0, fCount2);
    159         SkTSwap(fV0, fV1);
    160         dx = -dx;
    161     }
    162 
    163     if (fCount1 > 0) {
    164         fFx1 = fx0 + fCount0 * (int)dx;
    165     }
    166 
    167     if (dx > 0) {
    168         fCount2 += extraCount;
    169     } else {
    170         fCount0 += extraCount;
    171     }
    172 }
    173 
    174