This file is indexed.

/usr/share/perl5/Chart/Base.pm is in libchart-perl 2.4.4-1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below.

   1
   2
   3
   4
   5
   6
   7
   8
   9
  10
  11
  12
  13
  14
  15
  16
  17
  18
  19
  20
  21
  22
  23
  24
  25
  26
  27
  28
  29
  30
  31
  32
  33
  34
  35
  36
  37
  38
  39
  40
  41
  42
  43
  44
  45
  46
  47
  48
  49
  50
  51
  52
  53
  54
  55
  56
  57
  58
  59
  60
  61
  62
  63
  64
  65
  66
  67
  68
  69
  70
  71
  72
  73
  74
  75
  76
  77
  78
  79
  80
  81
  82
  83
  84
  85
  86
  87
  88
  89
  90
  91
  92
  93
  94
  95
  96
  97
  98
  99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 213
 214
 215
 216
 217
 218
 219
 220
 221
 222
 223
 224
 225
 226
 227
 228
 229
 230
 231
 232
 233
 234
 235
 236
 237
 238
 239
 240
 241
 242
 243
 244
 245
 246
 247
 248
 249
 250
 251
 252
 253
 254
 255
 256
 257
 258
 259
 260
 261
 262
 263
 264
 265
 266
 267
 268
 269
 270
 271
 272
 273
 274
 275
 276
 277
 278
 279
 280
 281
 282
 283
 284
 285
 286
 287
 288
 289
 290
 291
 292
 293
 294
 295
 296
 297
 298
 299
 300
 301
 302
 303
 304
 305
 306
 307
 308
 309
 310
 311
 312
 313
 314
 315
 316
 317
 318
 319
 320
 321
 322
 323
 324
 325
 326
 327
 328
 329
 330
 331
 332
 333
 334
 335
 336
 337
 338
 339
 340
 341
 342
 343
 344
 345
 346
 347
 348
 349
 350
 351
 352
 353
 354
 355
 356
 357
 358
 359
 360
 361
 362
 363
 364
 365
 366
 367
 368
 369
 370
 371
 372
 373
 374
 375
 376
 377
 378
 379
 380
 381
 382
 383
 384
 385
 386
 387
 388
 389
 390
 391
 392
 393
 394
 395
 396
 397
 398
 399
 400
 401
 402
 403
 404
 405
 406
 407
 408
 409
 410
 411
 412
 413
 414
 415
 416
 417
 418
 419
 420
 421
 422
 423
 424
 425
 426
 427
 428
 429
 430
 431
 432
 433
 434
 435
 436
 437
 438
 439
 440
 441
 442
 443
 444
 445
 446
 447
 448
 449
 450
 451
 452
 453
 454
 455
 456
 457
 458
 459
 460
 461
 462
 463
 464
 465
 466
 467
 468
 469
 470
 471
 472
 473
 474
 475
 476
 477
 478
 479
 480
 481
 482
 483
 484
 485
 486
 487
 488
 489
 490
 491
 492
 493
 494
 495
 496
 497
 498
 499
 500
 501
 502
 503
 504
 505
 506
 507
 508
 509
 510
 511
 512
 513
 514
 515
 516
 517
 518
 519
 520
 521
 522
 523
 524
 525
 526
 527
 528
 529
 530
 531
 532
 533
 534
 535
 536
 537
 538
 539
 540
 541
 542
 543
 544
 545
 546
 547
 548
 549
 550
 551
 552
 553
 554
 555
 556
 557
 558
 559
 560
 561
 562
 563
 564
 565
 566
 567
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702
 703
 704
 705
 706
 707
 708
 709
 710
 711
 712
 713
 714
 715
 716
 717
 718
 719
 720
 721
 722
 723
 724
 725
 726
 727
 728
 729
 730
 731
 732
 733
 734
 735
 736
 737
 738
 739
 740
 741
 742
 743
 744
 745
 746
 747
 748
 749
 750
 751
 752
 753
 754
 755
 756
 757
 758
 759
 760
 761
 762
 763
 764
 765
 766
 767
 768
 769
 770
 771
 772
 773
 774
 775
 776
 777
 778
 779
 780
 781
 782
 783
 784
 785
 786
 787
 788
 789
 790
 791
 792
 793
 794
 795
 796
 797
 798
 799
 800
 801
 802
 803
 804
 805
 806
 807
 808
 809
 810
 811
 812
 813
 814
 815
 816
 817
 818
 819
 820
 821
 822
 823
 824
 825
 826
 827
 828
 829
 830
 831
 832
 833
 834
 835
 836
 837
 838
 839
 840
 841
 842
 843
 844
 845
 846
 847
 848
 849
 850
 851
 852
 853
 854
 855
 856
 857
 858
 859
 860
 861
 862
 863
 864
 865
 866
 867
 868
 869
 870
 871
 872
 873
 874
 875
 876
 877
 878
 879
 880
 881
 882
 883
 884
 885
 886
 887
 888
 889
 890
 891
 892
 893
 894
 895
 896
 897
 898
 899
 900
 901
 902
 903
 904
 905
 906
 907
 908
 909
 910
 911
 912
 913
 914
 915
 916
 917
 918
 919
 920
 921
 922
 923
 924
 925
 926
 927
 928
 929
 930
 931
 932
 933
 934
 935
 936
 937
 938
 939
 940
 941
 942
 943
 944
 945
 946
 947
 948
 949
 950
 951
 952
 953
 954
 955
 956
 957
 958
 959
 960
 961
 962
 963
 964
 965
 966
 967
 968
 969
 970
 971
 972
 973
 974
 975
 976
 977
 978
 979
 980
 981
 982
 983
 984
 985
 986
 987
 988
 989
 990
 991
 992
 993
 994
 995
 996
 997
 998
 999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
1668
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
1714
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
2018
2019
2020
2021
2022
2023
2024
2025
2026
2027
2028
2029
2030
2031
2032
2033
2034
2035
2036
2037
2038
2039
2040
2041
2042
2043
2044
2045
2046
2047
2048
2049
2050
2051
2052
2053
2054
2055
2056
2057
2058
2059
2060
2061
2062
2063
2064
2065
2066
2067
2068
2069
2070
2071
2072
2073
2074
2075
2076
2077
2078
2079
2080
2081
2082
2083
2084
2085
2086
2087
2088
2089
2090
2091
2092
2093
2094
2095
2096
2097
2098
2099
2100
2101
2102
2103
2104
2105
2106
2107
2108
2109
2110
2111
2112
2113
2114
2115
2116
2117
2118
2119
2120
2121
2122
2123
2124
2125
2126
2127
2128
2129
2130
2131
2132
2133
2134
2135
2136
2137
2138
2139
2140
2141
2142
2143
2144
2145
2146
2147
2148
2149
2150
2151
2152
2153
2154
2155
2156
2157
2158
2159
2160
2161
2162
2163
2164
2165
2166
2167
2168
2169
2170
2171
2172
2173
2174
2175
2176
2177
2178
2179
2180
2181
2182
2183
2184
2185
2186
2187
2188
2189
2190
2191
2192
2193
2194
2195
2196
2197
2198
2199
2200
2201
2202
2203
2204
2205
2206
2207
2208
2209
2210
2211
2212
2213
2214
2215
2216
2217
2218
2219
2220
2221
2222
2223
2224
2225
2226
2227
2228
2229
2230
2231
2232
2233
2234
2235
2236
2237
2238
2239
2240
2241
2242
2243
2244
2245
2246
2247
2248
2249
2250
2251
2252
2253
2254
2255
2256
2257
2258
2259
2260
2261
2262
2263
2264
2265
2266
2267
2268
2269
2270
2271
2272
2273
2274
2275
2276
2277
2278
2279
2280
2281
2282
2283
2284
2285
2286
2287
2288
2289
2290
2291
2292
2293
2294
2295
2296
2297
2298
2299
2300
2301
2302
2303
2304
2305
2306
2307
2308
2309
2310
2311
2312
2313
2314
2315
2316
2317
2318
2319
2320
2321
2322
2323
2324
2325
2326
2327
2328
2329
2330
2331
2332
2333
2334
2335
2336
2337
2338
2339
2340
2341
2342
2343
2344
2345
2346
2347
2348
2349
2350
2351
2352
2353
2354
2355
2356
2357
2358
2359
2360
2361
2362
2363
2364
2365
2366
2367
2368
2369
2370
2371
2372
2373
2374
2375
2376
2377
2378
2379
2380
2381
2382
2383
2384
2385
2386
2387
2388
2389
2390
2391
2392
2393
2394
2395
2396
2397
2398
2399
2400
2401
2402
2403
2404
2405
2406
2407
2408
2409
2410
2411
2412
2413
2414
2415
2416
2417
2418
2419
2420
2421
2422
2423
2424
2425
2426
2427
2428
2429
2430
2431
2432
2433
2434
2435
2436
2437
2438
2439
2440
2441
2442
2443
2444
2445
2446
2447
2448
2449
2450
2451
2452
2453
2454
2455
2456
2457
2458
2459
2460
2461
2462
2463
2464
2465
2466
2467
2468
2469
2470
2471
2472
2473
2474
2475
2476
2477
2478
2479
2480
2481
2482
2483
2484
2485
2486
2487
2488
2489
2490
2491
2492
2493
2494
2495
2496
2497
2498
2499
2500
2501
2502
2503
2504
2505
2506
2507
2508
2509
2510
2511
2512
2513
2514
2515
2516
2517
2518
2519
2520
2521
2522
2523
2524
2525
2526
2527
2528
2529
2530
2531
2532
2533
2534
2535
2536
2537
2538
2539
2540
2541
2542
2543
2544
2545
2546
2547
2548
2549
2550
2551
2552
2553
2554
2555
2556
2557
2558
2559
2560
2561
2562
2563
2564
2565
2566
2567
2568
2569
2570
2571
2572
2573
2574
2575
2576
2577
2578
2579
2580
2581
2582
2583
2584
2585
2586
2587
2588
2589
2590
2591
2592
2593
2594
2595
2596
2597
2598
2599
2600
2601
2602
2603
2604
2605
2606
2607
2608
2609
2610
2611
2612
2613
2614
2615
2616
2617
2618
2619
2620
2621
2622
2623
2624
2625
2626
2627
2628
2629
2630
2631
2632
2633
2634
2635
2636
2637
2638
2639
2640
2641
2642
2643
2644
2645
2646
2647
2648
2649
2650
2651
2652
2653
2654
2655
2656
2657
2658
2659
2660
2661
2662
2663
2664
2665
2666
2667
2668
2669
2670
2671
2672
2673
2674
2675
2676
2677
2678
2679
2680
2681
2682
2683
2684
2685
2686
2687
2688
2689
2690
2691
2692
2693
2694
2695
2696
2697
2698
2699
2700
2701
2702
2703
2704
2705
2706
2707
2708
2709
2710
2711
2712
2713
2714
2715
2716
2717
2718
2719
2720
2721
2722
2723
2724
2725
2726
2727
2728
2729
2730
2731
2732
2733
2734
2735
2736
2737
2738
2739
2740
2741
2742
2743
2744
2745
2746
2747
2748
2749
2750
2751
2752
2753
2754
2755
2756
2757
2758
2759
2760
2761
2762
2763
2764
2765
2766
2767
2768
2769
2770
2771
2772
2773
2774
2775
2776
2777
2778
2779
2780
2781
2782
2783
2784
2785
2786
2787
2788
2789
2790
2791
2792
2793
2794
2795
2796
2797
2798
2799
2800
2801
2802
2803
2804
2805
2806
2807
2808
2809
2810
2811
2812
2813
2814
2815
2816
2817
2818
2819
2820
2821
2822
2823
2824
2825
2826
2827
2828
2829
2830
2831
2832
2833
2834
2835
2836
2837
2838
2839
2840
2841
2842
2843
2844
2845
2846
2847
2848
2849
2850
2851
2852
2853
2854
2855
2856
2857
2858
2859
2860
2861
2862
2863
2864
2865
2866
2867
2868
2869
2870
2871
2872
2873
2874
2875
2876
2877
2878
2879
2880
2881
2882
2883
2884
2885
2886
2887
2888
2889
2890
2891
2892
2893
2894
2895
2896
2897
2898
2899
2900
2901
2902
2903
2904
2905
2906
2907
2908
2909
2910
2911
2912
2913
2914
2915
2916
2917
2918
2919
2920
2921
2922
2923
2924
2925
2926
2927
2928
2929
2930
2931
2932
2933
2934
2935
2936
2937
2938
2939
2940
2941
2942
2943
2944
2945
2946
2947
2948
2949
2950
2951
2952
2953
2954
2955
2956
2957
2958
2959
2960
2961
2962
2963
2964
2965
2966
2967
2968
2969
2970
2971
2972
2973
2974
2975
2976
2977
2978
2979
2980
2981
2982
2983
2984
2985
2986
2987
2988
2989
2990
2991
2992
2993
2994
2995
2996
2997
2998
2999
3000
3001
3002
3003
3004
3005
3006
3007
3008
3009
3010
3011
3012
3013
3014
3015
3016
3017
3018
3019
3020
3021
3022
3023
3024
3025
3026
3027
3028
3029
3030
3031
3032
3033
3034
3035
3036
3037
3038
3039
3040
3041
3042
3043
3044
3045
3046
3047
3048
3049
3050
3051
3052
3053
3054
3055
3056
3057
3058
3059
3060
3061
3062
3063
3064
3065
3066
3067
3068
3069
3070
3071
3072
3073
3074
3075
3076
3077
3078
3079
3080
3081
3082
3083
3084
3085
3086
3087
3088
3089
3090
3091
3092
3093
3094
3095
3096
3097
3098
3099
3100
3101
3102
3103
3104
3105
3106
3107
3108
3109
3110
3111
3112
3113
3114
3115
3116
3117
3118
3119
3120
3121
3122
3123
3124
3125
3126
3127
3128
3129
3130
3131
3132
3133
3134
3135
3136
3137
3138
3139
3140
3141
3142
3143
3144
3145
3146
3147
3148
3149
3150
3151
3152
3153
3154
3155
3156
3157
3158
3159
3160
3161
3162
3163
3164
3165
3166
3167
3168
3169
3170
3171
3172
3173
3174
3175
3176
3177
3178
3179
3180
3181
3182
3183
3184
3185
3186
3187
3188
3189
3190
3191
3192
3193
3194
3195
3196
3197
3198
3199
3200
3201
3202
3203
3204
3205
3206
3207
3208
3209
3210
3211
3212
3213
3214
3215
3216
3217
3218
3219
3220
3221
3222
3223
3224
3225
3226
3227
3228
3229
3230
3231
3232
3233
3234
3235
3236
3237
3238
3239
3240
3241
3242
3243
3244
3245
3246
3247
3248
3249
3250
3251
3252
3253
3254
3255
3256
3257
3258
3259
3260
3261
3262
3263
3264
3265
3266
3267
3268
3269
3270
3271
3272
3273
3274
3275
3276
3277
3278
3279
3280
3281
3282
3283
3284
3285
3286
3287
3288
3289
3290
3291
3292
3293
3294
3295
3296
3297
3298
3299
3300
3301
3302
3303
3304
3305
3306
3307
3308
3309
3310
3311
3312
3313
3314
3315
3316
3317
3318
3319
3320
3321
3322
3323
3324
3325
3326
3327
3328
3329
3330
3331
3332
3333
3334
3335
3336
3337
3338
3339
3340
3341
3342
3343
3344
3345
3346
3347
3348
3349
3350
3351
3352
3353
3354
3355
3356
3357
3358
3359
3360
3361
3362
3363
3364
3365
3366
3367
3368
3369
3370
3371
3372
3373
3374
3375
3376
3377
3378
3379
3380
3381
3382
3383
3384
3385
3386
3387
3388
3389
3390
3391
3392
3393
3394
3395
3396
3397
3398
3399
3400
3401
3402
3403
3404
3405
3406
3407
3408
3409
3410
3411
3412
3413
3414
3415
3416
3417
3418
3419
3420
3421
3422
3423
3424
3425
3426
3427
3428
3429
3430
3431
3432
3433
3434
3435
3436
3437
3438
3439
3440
3441
3442
3443
3444
3445
3446
3447
3448
3449
3450
3451
3452
3453
3454
3455
3456
3457
3458
3459
3460
3461
3462
3463
3464
3465
3466
3467
3468
3469
3470
3471
3472
3473
3474
3475
3476
3477
3478
3479
3480
3481
3482
3483
3484
3485
3486
3487
3488
3489
3490
3491
3492
3493
3494
3495
3496
3497
3498
3499
3500
3501
3502
3503
3504
3505
3506
3507
3508
3509
3510
3511
3512
3513
3514
3515
3516
3517
3518
3519
3520
3521
3522
3523
3524
3525
3526
3527
3528
3529
3530
3531
3532
3533
3534
3535
3536
3537
3538
3539
3540
3541
3542
3543
3544
3545
3546
3547
3548
3549
3550
3551
3552
3553
3554
3555
3556
3557
3558
3559
3560
3561
3562
3563
3564
3565
3566
3567
3568
3569
3570
3571
3572
3573
3574
3575
3576
3577
3578
3579
3580
3581
3582
3583
3584
3585
3586
3587
3588
3589
3590
3591
3592
3593
3594
3595
3596
3597
3598
3599
3600
3601
3602
3603
3604
3605
3606
3607
3608
3609
3610
3611
3612
3613
3614
3615
3616
3617
3618
3619
3620
3621
3622
3623
3624
3625
3626
3627
3628
3629
3630
3631
3632
3633
3634
3635
3636
3637
3638
3639
3640
3641
3642
3643
3644
3645
3646
3647
3648
3649
3650
3651
3652
3653
3654
3655
3656
3657
3658
3659
3660
3661
3662
3663
3664
3665
3666
3667
3668
3669
3670
3671
3672
3673
3674
3675
3676
3677
3678
3679
3680
3681
3682
3683
3684
3685
3686
3687
3688
3689
3690
3691
3692
3693
3694
3695
3696
3697
3698
3699
3700
3701
3702
3703
3704
3705
3706
3707
3708
3709
3710
3711
3712
3713
3714
3715
3716
3717
3718
3719
3720
3721
3722
3723
3724
3725
3726
3727
3728
3729
3730
3731
3732
3733
3734
3735
3736
3737
3738
3739
3740
3741
3742
3743
3744
3745
3746
3747
3748
3749
3750
3751
3752
3753
3754
3755
3756
3757
3758
3759
3760
3761
3762
3763
3764
3765
3766
3767
3768
3769
3770
3771
3772
3773
3774
3775
3776
3777
3778
3779
3780
3781
3782
3783
3784
3785
3786
3787
3788
3789
3790
3791
3792
3793
3794
3795
3796
3797
3798
3799
3800
3801
3802
3803
3804
3805
3806
3807
3808
3809
3810
3811
3812
3813
3814
3815
3816
3817
3818
3819
3820
3821
3822
3823
3824
3825
3826
3827
3828
3829
3830
3831
3832
3833
3834
3835
3836
3837
3838
3839
3840
3841
3842
3843
3844
3845
3846
3847
3848
3849
3850
3851
3852
3853
3854
3855
3856
3857
3858
3859
3860
3861
3862
3863
3864
3865
3866
3867
3868
3869
3870
3871
3872
3873
3874
3875
3876
3877
3878
3879
3880
3881
3882
3883
3884
3885
3886
3887
3888
3889
3890
3891
3892
3893
3894
3895
3896
3897
3898
3899
3900
3901
3902
3903
3904
3905
3906
3907
3908
3909
3910
3911
3912
3913
3914
3915
3916
3917
3918
3919
3920
3921
3922
3923
3924
3925
3926
3927
3928
3929
3930
3931
3932
3933
3934
3935
3936
3937
3938
3939
3940
3941
3942
3943
3944
3945
3946
3947
3948
3949
3950
3951
3952
3953
3954
3955
3956
3957
3958
3959
3960
3961
3962
3963
3964
3965
3966
3967
3968
3969
3970
3971
3972
3973
3974
3975
3976
3977
3978
3979
3980
3981
3982
3983
3984
3985
3986
3987
3988
3989
3990
3991
3992
3993
3994
3995
3996
3997
3998
3999
4000
4001
4002
4003
4004
4005
4006
4007
4008
4009
4010
4011
4012
4013
4014
4015
4016
4017
4018
4019
4020
4021
4022
4023
4024
4025
4026
4027
4028
4029
4030
4031
4032
4033
4034
4035
4036
4037
4038
4039
4040
4041
4042
4043
4044
4045
4046
4047
4048
4049
4050
4051
4052
4053
4054
4055
4056
4057
4058
4059
4060
4061
4062
4063
4064
4065
4066
4067
4068
4069
4070
4071
4072
4073
4074
4075
4076
4077
4078
4079
4080
4081
4082
4083
4084
4085
4086
4087
4088
4089
4090
4091
4092
4093
4094
4095
4096
4097
4098
4099
4100
4101
4102
4103
4104
4105
4106
4107
4108
4109
4110
4111
4112
4113
4114
4115
4116
4117
4118
4119
4120
4121
4122
4123
4124
4125
4126
4127
4128
4129
4130
4131
4132
4133
4134
4135
4136
4137
4138
4139
4140
4141
4142
4143
4144
4145
4146
4147
4148
4149
4150
4151
4152
4153
4154
4155
4156
4157
4158
4159
4160
4161
4162
4163
4164
4165
4166
4167
4168
4169
4170
4171
4172
4173
4174
4175
4176
4177
4178
4179
4180
4181
4182
4183
4184
4185
4186
4187
4188
4189
4190
4191
4192
4193
4194
4195
4196
4197
4198
4199
4200
4201
4202
4203
4204
4205
4206
4207
4208
4209
4210
4211
4212
4213
4214
4215
4216
4217
4218
4219
4220
4221
4222
4223
4224
4225
4226
4227
4228
4229
4230
4231
4232
4233
4234
4235
4236
4237
4238
4239
4240
4241
4242
4243
4244
4245
4246
4247
4248
4249
4250
4251
4252
4253
4254
4255
4256
4257
4258
4259
4260
4261
4262
4263
4264
4265
4266
4267
4268
4269
4270
4271
4272
4273
4274
4275
4276
4277
4278
4279
4280
4281
4282
4283
4284
4285
4286
4287
4288
4289
4290
4291
4292
4293
4294
4295
4296
4297
4298
4299
4300
4301
4302
4303
4304
4305
4306
4307
4308
4309
4310
4311
4312
4313
4314
4315
4316
4317
4318
4319
4320
4321
4322
4323
4324
4325
4326
4327
4328
4329
4330
4331
4332
4333
4334
4335
4336
4337
4338
4339
4340
4341
4342
4343
4344
4345
4346
4347
4348
4349
4350
4351
4352
4353
4354
4355
4356
4357
4358
4359
4360
4361
4362
4363
4364
4365
4366
4367
4368
4369
4370
4371
4372
4373
4374
4375
4376
4377
4378
4379
4380
4381
4382
4383
4384
4385
4386
4387
4388
4389
4390
4391
4392
4393
4394
4395
4396
4397
4398
4399
4400
4401
4402
4403
4404
4405
4406
4407
4408
4409
4410
4411
4412
4413
4414
4415
4416
4417
4418
4419
4420
4421
4422
4423
4424
4425
4426
4427
4428
4429
4430
4431
4432
4433
4434
4435
4436
4437
4438
4439
4440
4441
4442
4443
4444
4445
4446
4447
4448
4449
4450
4451
4452
4453
4454
4455
4456
4457
4458
4459
4460
4461
4462
4463
4464
4465
4466
4467
4468
4469
4470
4471
4472
4473
4474
4475
4476
4477
4478
4479
4480
4481
4482
4483
4484
4485
4486
4487
4488
4489
4490
4491
4492
4493
4494
4495
4496
4497
4498
4499
4500
4501
4502
4503
4504
4505
4506
4507
4508
4509
4510
4511
4512
4513
4514
4515
4516
4517
4518
4519
4520
4521
4522
4523
4524
4525
4526
4527
4528
4529
4530
4531
4532
4533
4534
4535
4536
4537
4538
4539
4540
4541
4542
4543
4544
4545
4546
4547
4548
4549
4550
4551
4552
4553
4554
4555
4556
4557
4558
4559
4560
4561
4562
4563
4564
4565
4566
4567
4568
4569
4570
4571
4572
4573
4574
4575
4576
4577
4578
4579
4580
4581
4582
4583
4584
4585
4586
4587
4588
4589
4590
4591
4592
4593
4594
4595
4596
4597
4598
4599
4600
4601
4602
4603
4604
4605
4606
4607
4608
4609
4610
4611
4612
4613
4614
4615
## @file
# Implementation of Chart::Base
#
# written by
# @author david bonner (dbonner@cs.bu.edu)
#
# maintained by the
# @author Chart Group at Geodetic Fundamental Station Wettzell (Chart@fs.wettzell.de)
# @date 2012-01-06
# @version 2.4.4

## @mainpage Chart::Base
#
# Basic Class of Chart from which all the other classes are derived.

## @class Chart::Base
# @brief Base class for Chart; all other classes derived from here
#
# Base class from which all other classes are derived.
# This class provides all functions which are common for
# all classes
package Chart::Base;

# Uses
# GD
# Carp
# FileHandle
use GD;
use Carp;
use FileHandle;
use Chart::Constants;

$Chart::Base::VERSION = '2.4.4';

use vars qw(%named_colors);
use strict;

#>>>>>>>>>>>>>>>>>>>>>>>>>>#
#  public methods go here  #
#<<<<<<<<<<<<<<<<<<<<<<<<<<#

## @cmethod object new()
# @return A new object.
#
# @brief
# Standard normal constructor.\n
# Calls
# @see _init
sub new
{
    my $proto = shift;
    my $class = ref($proto) || $proto;
    my $self  = {};

    bless $self, $class;
    $self->_init(@_);

    return $self;
}

## @method int set(%opts)
# Set all options
#
# @details
#  main method for customizing the chart, lets users
#  specify values for different parameters\n
#  The options are saved locally to be able to output them
#  via @see getopts()
#
# @param[in] %opts Hash of options to the Chart
# @return ok or croak
#
sub set
{
    my $self = shift;
    my %opts = @_;

    # basic error checking on the options, just warn 'em
    unless ( $#_ % 2 )
    {
        carp "Whoops, some option to be set didn't have a value.\n", "You might want to look at that.\n";
    }

    # set the options
    for ( keys %opts )
    {
        $self->{$_} = $opts{$_};
        $self->{saveopts}->{$_} = $opts{$_};

        # if someone wants to change the grid_lines color, we should set all
        # the colors of the grid_lines
        if ( $_ =~ /^colors$/ )
        {
            my %hash = %{ $opts{$_} };
            foreach my $key ( sort keys %hash )
            {
                if ( $key =~ /^grid_lines$/ )
                {

                    # ORIG:
                    #$self->{'colors'}{'y_grid_lines'}    = $hash{'grid_lines'},
                    #  $self->{'colors'}{'x_grid_lines'}  = $hash{'grid_lines'},
                    #  $self->{'colors'}{'y2_grid_lines'} = $hash{'grid_lines'};
                    #
                    # NEW!!!!!!!!!!!!!!!!!!
                    if ( ref( $hash{'grid_lines'} ) eq 'ARRAY' )
                    {
                        my @aLocal = ( $hash{'grid_lines'}[0], $hash{'grid_lines'}[1], $hash{'grid_lines'}[2] );
                        $self->{'colors'}{'y_grid_lines'}  = [@aLocal];
                        $self->{'colors'}{'x_grid_lines'}  = [@aLocal];
                        $self->{'colors'}{'y2_grid_lines'} = [@aLocal];
                    }
                    elsif ( ref( \$hash{'grid_lines'} ) eq 'SCALAR' )
                    {
                        my $sLocal = $hash{'grid_lines'};
                        $self->{'colors'}{'y_grid_lines'}  = $sLocal;
                        $self->{'colors'}{'x_grid_lines'}  = $sLocal;
                        $self->{'colors'}{'y2_grid_lines'} = $sLocal;
                    }
                    else
                    {
                        carp "colors{'grid_lines'} is not SCALAR and not ARRAY\n";
                    }
                }
            }
        }
    }

    # now return
    return 1;
}

## @method hash getopts()
# @return hash of all set options so far
#
# @brief
# get all options
#
# @details
# @return set options as a hash
sub getopts
{
    my $self = shift;
    my %opts = ();

    foreach ( keys %{ $self->{saveopts} } )
    {
        $opts{$_} = $self->{saveopts};
    }
    return %opts;
}

## @method int add_pt(@data)
# Graph API\n
# Add one dataset (as a list) to the dataref
#
# @param @data Dataset to add

## @method add_pt(\@data)
# Graph API\n
# Add one dataset (as a reference to a list) to the dataref
# via
# <pre>
# for ( 0 .. $#data )
# {
#    push @{ $self->{'dataref'}->[$_] }, $data[$_];
# }
# </pre>
#
# @param \@data Dataset to add
#
sub add_pt
{
    my $self = shift;
    my @data = ();

    if ( ( ref $_[0] ) =~ /^ARRAY/ )
    {
        my $rdata = shift;
        @data = @$rdata if defined @$rdata;
    }
    elsif ( ( ref \$_[0] ) =~ /^SCALAR/ )
    {
        if ( defined $_[0] )
        {
            @data = @_;
        }
    }
    else
    {
        croak "Not an array or reference to array";
    }

    # error check the data (carp, don't croak)
    if ( $self->{'dataref'} && ( $#{ $self->{'dataref'} } != $#data ) )
    {
        carp "New point to be added has an incorrect number of data sets";
        return 0;
    }

    # copy it into the dataref
    for ( 0 .. $#data )
    {
        push @{ $self->{'dataref'}->[$_] }, $data[$_];
    }

    # now return
    return 1;
}

## @method int add_dataset(@data)
#  Graph API\n
# Add many datasets (implemented as a list)
# to the dataref,
#
# @param @data Dataset (list) to add

## @method int add_dataset(\@data)
#  Graph API\n
# Add many datasets (implemented as a references to alist)
# to the dataref,
#
# @param \@data Dataset (reference to a list) to add
sub add_dataset
{
    my $self = shift;
    my @data = ();

    if ( ( ref $_[0] ) =~ /^ARRAY/ )
    {
        my $rdata = shift;
        @data = @$rdata if defined @$rdata;
    }
    elsif ( ( ref \$_[0] ) =~ /^SCALAR/ )
    {
        if ( defined $_[0] )
        {
            @data = @_;
        }
    }
    else
    {
        croak "Not an array or reference to array";
        return;
    }

    # error check the data (carp, don't croak)
    if ( $self->{'dataref'} && ( $#{ $self->{'dataref'}->[0] } != $#data ) )
    {
        carp "New data set to be added has an incorrect number of points";
    }

    # copy it into the dataref
    push @{ $self->{'dataref'} }, [@data];

    # now return
    return 1;
}

## @method int add_datafile($filename,$format)
#  Graph API\n
# it's also possible to add a complete datafile\n
# Uses
# @see add_pt
# @see add_dataset
#
# @param[in] $filename Name of file which contents is to be added
# @param[in] $format 'pt' or 'set' to distiguish between function add_pt() in case of 'pt'
#                 or function add_dataset() in case of 'set'
sub add_datafile
{
    my $self     = shift;
    my $filename = shift;
    my $format   = shift;
    my ( $File, @array );

    # do some ugly checking to see if they gave me
    # a filehandle or a file name
    if ( ( ref \$filename ) eq 'SCALAR' )
    {

        # they gave me a file name
        open( $File, $filename ) or croak "Can't open the datafile: $filename.\n";
    }
    elsif ( ( ref \$filename ) =~ /^(?:REF|GLOB)$/ )
    {

        # either a FileHandle object or a regular file handle
        $File = $filename;
    }
    else
    {
        carp "I'm not sure what kind of datafile you gave me,\n", "but it wasn't a filename or a filehandle.\n";
    }

    #add the data
    while (<$File>)
    {
        @array = split;
        if ( $#array > -1 )
        {
            if ( $format =~ m/^pt$/i )
            {
                $self->add_pt(@array);
            }
            elsif ( $format =~ m/^set$/i )
            {
                $self->add_dataset(@array);
            }
            else
            {
                carp "Tell me what kind of file you gave me: 'pt' or 'set'\n";
            }
        }
    }
    close($File);
}

## @method int clear_data()
# Clear Graph API (by undefining 'dataref'
# @return Status of function
sub clear_data
{
    my $self = shift;

    # undef the internal data reference
    $self->{'dataref'} = undef;

    # now return
    return 1;
}

## @method arrayref get_data()
#  Get array of data of the last graph
# @return Reference to data set of the last graph
sub get_data
{
    my $self = shift;
    my $ref  = [];
    my ( $i, $j );

    # give them a copy, not a reference into the object
    for $i ( 0 .. $#{ $self->{'dataref'} } )
    {
        @{ $ref->[$i] } = @{ $self->{'dataref'}->[$i] }
## speedup, compared to...
          #   for $j (0..$#{$self->{'dataref'}->[$i]}) {
          #     $ref->[$i][$j] = $self->{'dataref'}->[$i][$j];
          #   }
    }

    # return it
    return $ref;
}

## @method int png($file, $dataref)
# Produce the graph of options set in png format.
#
# called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data
# @see _set_colors
# @see _copy_data
# @see _check_data
# @see _draw
# @param[in] $file Name of file to write graph to
# @param[in] $dataref Reference to external data space
# @return Status of the plot
sub png
{
    my $self    = shift;
    my $file    = shift;
    my $dataref = shift;
    my $fh;

    # do some ugly checking to see if they gave me
    # a filehandle or a file name
    if ( ( ref \$file ) eq 'SCALAR' )
    {

        # they gave me a file name
        # Try to delete an existing file
        if ( -f $file )
        {
            my $number_deleted_files = unlink $file;
            if ( $number_deleted_files != 1 )
            {
                croak "Error: File \"$file\" did already exist, but it failed to delete it";
            }
        }
        $fh = FileHandle->new(">$file");
        if ( !defined $fh )
        {
            croak "Error: File \"$file\" could not be created!\n";
        }
    }
    elsif ( ( ref \$file ) =~ /^(?:REF|GLOB)$/ )
    {

        # either a FileHandle object or a regular file handle
        $fh = $file;
    }
    else
    {
        croak "I'm not sure what you gave me to write this png to,\n", "but it wasn't a filename or a filehandle.\n";
    }

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # now write it to the file handle, and don't forget
    # to be nice to the poor ppl using nt
    binmode $fh;

    print $fh $self->{'gd_obj'}->png();

    # now exit
    return 1;
}

## @method int cgi_png($dataref)
# Produce the graph of options set in png format to be directly
# written for CGI.
#
# called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data
# @param $dataref
# @return Status of the plot
sub cgi_png
{
    my $self    = shift;
    my $dataref = shift;

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # print the header (ripped the crlf octal from the CGI module)
    if ( $self->true( $self->{no_cache} ) )
    {
        print "Content-type: image/png\015\012Pragma: no-cache\015\012\015\012";
    }
    else
    {
        print "Content-type: image/png\015\012\015\012";
    }

    # now print the png, and binmode it first so Windows-XX likes us
    binmode STDOUT;
    print STDOUT $self->{'gd_obj'}->png();

    # now exit
    return 1;
}

## @method int scalar_png($dataref)
# Produce the graph of options set in png format to be directly
# written for CGI.
#
# Called after the options are set, \n
# this method invokes all my private methods to actually
# draw the chart and plot the data
# @param[in] $dataref Reference to the data to be plotted
# @return Status of the plot
sub scalar_png
{
    my $self    = shift;
    my $dataref = shift;

    #allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # returns the png image as a scalar value, so that
    # the programmer/user can do whatever the she/he wants to with it
    $self->{'gd_obj'}->png();
    return 1;
}

## @method int jpeg($file,$dataref)
# Produce the graph of options set in JPG format to be directly plotted.\n
#
# Called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data.
# The output has the jpeg format in opposite to png format produced by
# @see png
#
# Uses the following private functions:\n
# @see _set_colors
# @see _copy_data
# @see _check_data
# @see _draw
#
# @param[in] $file Name of file to write graph to
# @param[in] $dataref Reference to external data space
# @return Status of the plot
#
sub jpeg
{
    my $self    = shift;
    my $file    = shift;
    my $dataref = shift;
    my $fh;

    # do some ugly checking to see if they gave me
    # a filehandle or a file name
    if ( ( ref \$file ) eq 'SCALAR' )
    {

        # they gave me a file name
        # Try to delete an existing file
        if ( -f $file )
        {
            my $number_deleted_files = unlink $file;
            if ( $number_deleted_files != 1 )
            {
                croak "Error: File \"$file\" did already exist, but it fails to delete it";
            }
        }
        $fh = FileHandle->new(">$file");
        if ( !defined $fh )
        {
            croak "Error: File \"$file\" could not be created!\n";
        }
    }
    elsif ( ( ref \$file ) =~ /^(?:REF|GLOB)$/ )
    {

        # either a FileHandle object or a regular file handle
        $fh = $file;
    }
    else
    {
        croak "I'm not sure what you gave me to write this jpeg to,\n", "but it wasn't a filename or a filehandle.\n";
    }

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data;

    # pass off the real work to the appropriate subs
    $self->_draw();

    # now write it to the file handle, and don't forget
    # to be nice to the poor ppl using Windows-XX
    binmode $fh;
    print $fh $self->{'gd_obj'}->jpeg( [100] );    # high quality need

    # now exit
    return 1;
}

## @method int cgi_jpeg($dataref)
# Produce the graph of options set in JPG format to be directly
# for CGI.
#
# called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data
# @param $dataref
# @return Status of the plot
sub cgi_jpeg
{
    my $self    = shift;
    my $dataref = shift;

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # print the header (ripped the crlf octal from the CGI module)
    if ( $self->true( $self->{no_cache} ) )
    {
        print "Content-type: image/jpeg\015\012Pragma: no-cache\015\012\015\012";
    }
    else
    {
        print "Content-type: image/jpeg\015\012\015\012";
    }

    # now print the jpeg, and binmode it first so Windows-XX likes us
    binmode STDOUT;
    print STDOUT $self->{'gd_obj'}->jpeg( [100] );

    # now exit
    return 1;
}

## @method int scalar_jpeg($dataref)
# Produce the graph of options set in JPG format to be directly
#
# called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data
# @param $dataref
# @return Status of the plot
sub scalar_jpeg
{
    my $self    = shift;
    my $dataref = shift;

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # returns the jpeg image as a scalar value, so that
    # the programmer-user can do whatever the heck
    # s/he wants to with it
    $self->{'gd_obj'}->jpeg( [100] );
}

## @method int make_gd($dataref)
# Produce the graph of options set in GD format to be directly
#
# called after the options are set, this method
# invokes all my private methods to actually
# draw the chart and plot the data
# @param $dataref
# @return Status of the plot
sub make_gd
{
    my $self    = shift;
    my $dataref = shift;

    # allocate the background color
    $self->_set_colors();

    # make sure the object has its copy of the data
    $self->_copy_data($dataref);

    # do a sanity check on the data, and collect some basic facts
    # about the data
    $self->_check_data();

    # pass off the real work to the appropriate subs
    $self->_draw();

    # return the GD::Image object that we've drawn into
    return $self->{'gd_obj'};
}

## @method imagemap_dump()
#  get the information to turn the chart into an imagemap
#
# @return Reference to an array of the image
sub imagemap_dump
{
    my $self = shift;
    my $ref  = [];
    my ( $i, $j );

    # croak if they didn't ask me to remember the data, or if they're asking
    # for the data before I generate it
    unless ( ( $self->true( $self->{'imagemap'} ) ) && $self->{'imagemap_data'} )
    {
        croak "You need to set the imagemap option to true, and then call the png method, before you can get the imagemap data";
    }

    # can't just return a ref to my internal structures...
    for $i ( 0 .. $#{ $self->{'imagemap_data'} } )
    {
        for $j ( 0 .. $#{ $self->{'imagemap_data'}->[$i] } )
        {
            $ref->[$i][$j] = [ @{ $self->{'imagemap_data'}->[$i][$j] } ];
        }
    }

    # return their copy
    return $ref;
}

## @method minimum(@array)
# determine minimum of an array of values
# @param @array List of numerical values
# @return Minimal value of list of values
sub minimum
{
    my $self  = shift;
    my @array = @_;

    return undef if !@array;
    my $min = $array[0];
    for ( my $iIndex = 0 ; $iIndex < scalar @array ; $iIndex++ )
    {
        $min = $array[$iIndex] if ( $min > $array[$iIndex] );
    }
    $min;
}

## @method maximum(@array)
# determine maximum of an array of values
# @param @array List of numerical values
# @return Maximal value of list of values
sub maximum
{
    my $self  = shift;
    my @array = @_;

    return undef if !@array;
    my $max = $array[0];
    for ( my $iIndex = 0 ; $iIndex < scalar @array ; $iIndex++ )
    {
        $max = $array[$iIndex] if ( $max < $array[$iIndex] );
    }
    $max;
}

## @method arccos($a)
# Function arccos(a)
# @param $a Value
# @return arccos(a)
sub arccos
{
    my $self = shift;
    my $a    = shift;

    return ( atan2( sqrt( 1 - $a * $a ), $a ) );
}

## @method arcsin($a)
# Function arcsin(a)
# @param $a Value
# @return arcsin(a)
sub arcsin
{
    my $self = shift;
    my $a    = shift;

    return ( atan2( $a, sqrt( 1 - $a * $a ) ) );
}

## @method true($b)
# determine true value of argument
# @param[in] $b Bool value to check for true
# @return 1 if argument is equal to TRUE, true, 1, t, T, and defined
sub true
{
    my $pkg = shift;
    my $arg = shift;

    if ( !defined($arg) )
    {
        return 0;
    }

    if (   $arg eq 'true'
        || $arg eq 'TRUE'
        || $arg eq 't'
        || $arg eq 'T'
        || $arg eq '1' )
    {
        return 1;
    }

    return 0;
}

## @method false($b)
# determine false value of argument
# @param[in] $b Bool value to check for true
# @return 1 if argument is equal to false, FALSE, 0, f, F or undefined
sub false
{
    my $pkg = shift;
    my $arg = shift;

    if ( !defined($arg) )
    {
        return 1;
    }

    if (   $arg eq 'false'
        || $arg eq 'FALSE'
        || $arg eq 'f'
        || $arg eq 'F'
        || $arg eq '0'
        || $arg eq 'none' )
    {
        return 1;
    }

    return 0;
}

#>>>>>>>>>>>>>>>>>>>>>>>>>>>#
#  private methods go here  #
#<<<<<<<<<<<<<<<<<<<<<<<<<<<#

## @fn private int _init($x,$y)
# Initialize all default options here
# @param[in] $x   Width of the final image in pixels (Default: 400)
# @param[in] $y   Height of the final image in pixels (Default: 300)
#
sub _init
{
    my $self = shift;
    my $x    = shift || 400;    # give them a 400x300 image
    my $y    = shift || 300;    # unless they say otherwise

    # get the gd object

    # Reference to new GD::Image
    $self->{'gd_obj'} = GD::Image->new( $x, $y );

    # start keeping track of used space
    # actual current y min Value
    $self->{'curr_y_min'} = 0;
    $self->{'curr_y_max'} = $y;    # maximum pixel in y direction (down)
    $self->{'curr_x_min'} = 0;
    $self->{'curr_x_max'} = $x;    # maximum pixel in x direction (right)

    # use a 10 pixel border around the whole png
    $self->{'png_border'} = 10;

    # leave some space around the text fields
    $self->{'text_space'} = 2;

    # and leave some more space around the chart itself
    $self->{'graph_border'} = 10;

    # leave a bit of space inside the legend box
    $self->{'legend_space'} = 4;

    # set some default fonts
    $self->{'title_font'}        = gdLargeFont,
      $self->{'sub_title_font'}  = gdLargeFont,
      $self->{'legend_font'}     = gdSmallFont,
      $self->{'label_font'}      = gdMediumBoldFont,
      $self->{'tick_label_font'} = gdSmallFont;

    # put the legend on the bottom of the chart
    $self->{'legend'} = 'right';

    # default to an empty list of labels
    $self->{'legend_labels'} = [];

    # use 20 pixel length example lines in the legend
    $self->{'legend_example_size'} = 20;

    # Set the maximum & minimum number of ticks to use.
    $self->{'y_ticks'}          = 6,
      $self->{'min_y_ticks'}    = 6,
      $self->{'max_y_ticks'}    = 100,
      $self->{'x_number_ticks'} = 1,
      $self->{'min_x_ticks'}    = 6,
      $self->{'max_x_ticks'}    = 100;

    # make the ticks 4 pixels long
    $self->{'tick_len'} = 4;

    # no custom y tick labels
    $self->{'y_tick_labels'} = undef;

    # no patterns
    $self->{'patterns'} = undef;

    # let the lines in Chart::Lines be 6 pixels wide
    $self->{'brush_size'} = 6;

    # let the points in Chart::Points and Chart::LinesPoints be 18 pixels wide
    $self->{'pt_size'} = 18;

    # use the old non-spaced bars
    $self->{'spaced_bars'} = 'true';

    # use the new grey background for the plots
    $self->{'grey_background'} = 'true';

    # don't default to transparent
    $self->{'transparent'} = 'false';

    # default to "normal" x_tick drawing
    $self->{'x_ticks'} = 'normal';

    # we're not a component until Chart::Composite says we are
    $self->{'component'} = 'false';

    # don't force the y-axes in a Composite chare to be the same
    $self->{'same_y_axes'} = 'false';

    # plot rectangeles in the legend instead of lines in a composite chart
    $self->{'legend_example_height'} = 'false';

    # don't force integer y-ticks
    $self->{'integer_ticks_only'} = 'false';

    # don't forbid a false zero scale.
    $self->{'include_zero'} = 'false';

    # don't waste time/memory by storing imagemap info unless they ask
    $self->{'imagemap'} = 'false';

    # default for grid_lines is off
    $self->{grid_lines}      = 'false',
      $self->{x_grid_lines}  = 'false',
      $self->{y_grid_lines}  = 'false',
      $self->{y2_grid_lines} = 'false';

    # default for no_cache is false.  (it breaks netscape 4.5)
    $self->{no_cache} = 'false';

    # default value for skip_y_ticks for the labels
    $self->{skip_y_ticks} = 1;

    # default value for skip_int_ticks only for integer_ticks_only
    $self->{skip_int_ticks} = 1;

    # default value for precision
    $self->{precision} = 3;

    # default value for legend label values in pie charts
    $self->{legend_label_values} = 'value';

    #  default value for the labels in a pie chart
    $self->{label_values} = 'percent';

    # default position for the y-axes
    $self->{y_axes} = 'left';

    # copies of the current values at the x-ticks function
    $self->{temp_x_min} = 0;
    $self->{temp_x_max} = 0;
    $self->{temp_y_min} = 0;
    $self->{temp_y_max} = 0;

    # Instance for a sum
    $self->{sum} = 0;

    # Don't sort the data unless they ask
    $self->{'sort'} = 'false';

    # The Interval for drawing the x-axes in the split module
    $self->{'interval'} = undef;

    # The start value for the split chart
    $self->{'start'} = undef;

    # How many ticks do i have to draw at the x-axes in one interval of a split-plot?
    $self->{'interval_ticks'} = 6;

    # Draw the Lines in the split-chart normal
    $self->{'scale'} = 1;

    # Make a x-y plot
    $self->{'xy_plot'} = 'false';

    # min and max for xy plot
    $self->{'x_min_val'} = 1;
    $self->{'x_max_val'} = 1;

    # use the same error value in ErrorBars
    $self->{'same_error'} = 'false';

    # Set the minimum and maximum number of circles to draw in a direction chart
    $self->{'min_circles'} = 4, $self->{'max_circles'} = 100;

    # set the style of a direction diagramm
    $self->{'point'} = 'true', $self->{'line'} = 'false', $self->{'arrow'} = 'false';

    # The number of angel axes in a direction Chart
    $self->{'angle_interval'} = 30;

    # dont use different 'x_axes' in a direction Chart
    $self->{'pairs'} = 'false';

    # polarplot for a direction Chart (not yet tested)
    $self->{'polar'} = 'false';

    # guiding lines in a Pie Chart
    $self->{'legend_lines'} = 'false';

    # Ring Chart instead of Pie
    $self->{'ring'} = 1;    # width of ring; i.e. normal pie

    # stepline for Lines, LinesPoints
    $self->{'stepline'}      = 'false';
    $self->{'stepline_mode'} = 'end';     # begin, end

    # used function to transform x- and y-tick labels to strings
    $self->{f_x_tick} = \&_default_f_tick, $self->{f_y_tick} = \&_default_f_tick, $self->{f_z_tick} = \&_default_f_tick;

    # default color specs for various color roles.
    # Subclasses should extend as needed.
    my $d = 0;
    $self->{'colors_default_spec'} = {
        background      => 'white',
        misc            => 'black',
        text            => 'black',
        y_label         => 'black',
        y_label2        => 'black',
        grid_lines      => 'black',
        grey_background => 'grey',
        (
            map { 'dataset' . $d++ => $_ }
              qw (red green blue purple peach orange mauve olive pink light_purple light_blue plum yellow turquoise light_green brown
              HotPink PaleGreen1 DarkBlue BlueViolet orange2 chocolate1 LightGreen pink light_purple light_blue plum yellow turquoise light_green brown
              pink PaleGreen2 MediumPurple PeachPuff1 orange3 chocolate2 olive pink light_purple light_blue plum yellow turquoise light_green brown
              DarkOrange PaleGreen3 SlateBlue BlueViolet PeachPuff2 orange4 chocolate3 LightGreen pink light_purple light_blue plum yellow turquoise light_green brown
              snow1 honeydew3 SkyBlue1 cyan3 DarkOliveGreen1 IndianRed3
              orange1 LightPink3 MediumPurple1 snow3 LavenderBlush1 SkyBlue3
              DarkSlateGray1 DarkOliveGreen3 sienna1 orange3 PaleVioletRed1
              MediumPurple3 seashell1 LavenderBlush3 LightSkyBlue1
              DarkSlateGray3 khaki1 sienna3 DarkOrange1 PaleVioletRed3
              thistle1 seashell3 MistyRose1 LightSkyBlue3 aquamarine1 khaki3
              burlywood1 DarkOrange3 maroon1 thistle3 AntiqueWhite1
              MistyRose3 SlateGray1 aquamarine3 LightGoldenrod1 burlywood3
              coral1 maroon3 AntiqueWhite3 azure1 SlateGray3 DarkSeaGreen1
              LightGoldenrod3 wheat1 coral3 VioletRed1 bisque1 azure3
              LightSteelBlue1 DarkSeaGreen3 LightYellow1 wheat3 tomato1
              VioletRed3 bisque3 SlateBlue1 LightSteelBlue3 SeaGreen1
              LightYellow3 tan1 tomato3 magenta1 PeachPuff1 SlateBlue3
              LightBlue1 SeaGreen3 yellow1 tan3 OrangeRed1 magenta3
              PeachPuff3 RoyalBlue1 LightBlue3 PaleGreen1 yellow3 chocolate1
              OrangeRed3 orchid1 NavajoWhite1 RoyalBlue3 LightCyan1
              PaleGreen3 gold1 chocolate3 red1 orchid3 NavajoWhite3 blue1
              LightCyan3 SpringGreen1 gold3 firebrick1 red3 plum1
              LemonChiffon1 blue3 PaleTurquoise1 SpringGreen3 goldenrod1
              firebrick3 DeepPink1 plum3 LemonChiffon3 DodgerBlue1
              PaleTurquoise3 green1 goldenrod3 brown1 DeepPink3
              MediumOrchid1 cornsilk1 DodgerBlue3 CadetBlue1 green3
              DarkGoldenrod1 brown3 HotPink1 MediumOrchid3 cornsilk3
              SteelBlue1 CadetBlue3 chartreuse1 DarkGoldenrod3 salmon1
              HotPink3 DarkOrchid1 ivory1 SteelBlue3 turquoise1 chartreuse3
              RosyBrown1 salmon3 pink1 DarkOrchid3 ivory3 DeepSkyBlue1
              turquoise3 OliveDrab1 RosyBrown3 LightSalmon1 pink3 purple1
              honeydew1 DeepSkyBlue3 cyan1 OliveDrab3 IndianRed1
              LightSalmon3 LightPink1 purple3 honeydew2 DeepSkyBlue4 cyan2
              OliveDrab4 IndianRed2 LightSalmon4 LightPink2 purple4 snow2
              honeydew4 SkyBlue2 cyan4 DarkOliveGreen2 IndianRed4 orange2
              LightPink4 MediumPurple2 snow4 LavenderBlush2 SkyBlue4
              DarkSlateGray2 DarkOliveGreen4 sienna2 orange4 PaleVioletRed2
              MediumPurple4 seashell2 LavenderBlush4 LightSkyBlue2
              DarkSlateGray4 khaki2 sienna4 DarkOrange2 PaleVioletRed4
              thistle2 seashell4 MistyRose2 LightSkyBlue4 aquamarine2 khaki4
              burlywood2 DarkOrange4 maroon2 thistle4 AntiqueWhite2
              MistyRose4 SlateGray2 aquamarine4 LightGoldenrod2 burlywood4
              coral2 maroon4 AntiqueWhite4 azure2 SlateGray4 DarkSeaGreen2
              LightGoldenrod4 wheat2 coral4 VioletRed2 bisque2 azure4
              LightSteelBlue2 DarkSeaGreen4 LightYellow2 wheat4 tomato2
              VioletRed4 bisque4 SlateBlue2 LightSteelBlue4 SeaGreen2
              LightYellow4 tan2 tomato4 magenta2 PeachPuff2 SlateBlue4
              LightBlue2 SeaGreen4 yellow2 tan4 OrangeRed2 magenta4
              PeachPuff4 RoyalBlue2 LightBlue4 PaleGreen2 yellow4 chocolate2
              OrangeRed4 orchid2 NavajoWhite2 RoyalBlue4 LightCyan2
              PaleGreen4 gold2 chocolate4 red2 orchid4 NavajoWhite4 blue2
              LightCyan4 SpringGreen2 gold4 firebrick2 red4 plum2
              LemonChiffon2 blue4 PaleTurquoise2 SpringGreen4 goldenrod2
              firebrick4 DeepPink2 plum4 LemonChiffon4 DodgerBlue2
              PaleTurquoise4 green2 goldenrod4 brown2 DeepPink4
              MediumOrchid2 cornsilk2 DodgerBlue4 CadetBlue2 green4
              DarkGoldenrod2 brown4 HotPink2 MediumOrchid4 cornsilk4
              SteelBlue2 CadetBlue4 chartreuse2 DarkGoldenrod4 salmon2
              HotPink4 DarkOrchid2 ivory2 SteelBlue4 turquoise2 chartreuse4
              RosyBrown2 salmon4 pink2 DarkOrchid4 ivory4 DeepSkyBlue2
              turquoise4 OliveDrab2 RosyBrown4 LightSalmon2 pink4 purple2)
        ),

    };

    # get default color specs for some color roles from alternate role.
    # Subclasses should extend as needed.
    $self->{'colors_default_role'} = {
        'x_grid_lines'  => 'grid_lines',
        'y_grid_lines'  => 'grid_lines',
        'y2_grid_lines' => 'grid_lines',    # should be added by Char::Composite...
    };

    # Define style to plot dots in Points and Lines
    $self->{'brushStyle'} = 'FilledCircle';

    # and return
    return 1;
}

## @fn private int _copy_data($extern_ref)
# Copy external data via a reference to internal memory.
#
# Remember the external reference.\n
# Therefore, this function can anly be called once!
# @param $extern_ref  Reference to external data space
sub _copy_data
{
    my $self       = shift;
    my $extern_ref = shift;
    my ( $ref, $i );

    # look to see if they used the other api
    if ( $self->{'dataref'} )
    {

        # we've already got a copy, thanks
        return 1;
    }
    else
    {

        # get an array reference
        $ref = [];

        # loop through and copy the external data to internal memory
        for $i ( 0 .. $#{$extern_ref} )
        {
            @{ $ref->[$i] } = @{ $extern_ref->[$i] };
            ## Speedup compared to:
            #  for $j (0..$#{$extern_ref->[$i]}) {
            #       $ref->[$i][$j] = $extern_ref->[$i][$j];
            #     }
        }

        # put it in the object
        $self->{'dataref'} = $ref;
        return 1;
    }
}

## @fn private int _check_data
# Check the internal data to be displayed.
#
# Make sure the data isn't really weird
#  and collect some basic info about it\n
# Not logical data is 'carp'ed.\n
# @return status of check
sub _check_data
{
    my $self   = shift;
    my $length = 0;

    # first make sure there's something there
    unless ( scalar( @{ $self->{'dataref'} } ) >= 2 )
    {
        croak "Call me again when you have some data to chart";
    }

    # make sure we don't end up dividing by zero if they ask for
    # just one y_tick
    if ( $self->{'y_ticks'} <= 1 )
    {
        $self->{'y_ticks'} = 2;
        carp "The number of y_ticks displayed must be at least 2";
    }

    # remember the number of datasets
    $self->{'num_datasets'} = $#{ $self->{'dataref'} };

    # remember the number of points in the largest dataset
    $self->{'num_datapoints'} = 0;
    for ( 0 .. $self->{'num_datasets'} )
    {
        if ( scalar( @{ $self->{'dataref'}[$_] } ) > $self->{'num_datapoints'} )
        {
            $self->{'num_datapoints'} = scalar( @{ $self->{'dataref'}[$_] } );
        }
    }

    # find good min and max y-values for the plot
    $self->_find_y_scale();

    # find the longest x-tick label
    $length = 0;
    for ( @{ $self->{'dataref'}->[0] } )
    {
        next if !defined($_);
        if ( length( $self->{f_x_tick}->($_) ) > $length )
        {
            $length = length( $self->{f_x_tick}->($_) );
        }
    }
    if ( $length <= 0 ) { $length = 1; }    # make sure $length is positive and greater 0

    # now store it in the object
    $self->{'x_tick_label_length'} = $length;

    # find x-scale, if a x-y plot is wanted
    # makes only sense for some charts
    if (
        $self->true( $self->{'xy_plot'} )
        && (   $self->isa('Chart::Lines')
            || $self->isa('Chart::Points')
            || $self->isa('Chart::LinesPoints')
            || $self->isa('Chart::Split')
            || $self->isa('Chart::ErrorBars') )
      )
    {
        $self->_find_x_scale;
    }

    return 1;
}

## @fn private int _draw
# Plot the chart to the gd object\n
# Calls:
# @see _draw_title
# @see _draw_sub_title
# @see _sort_data
# @see _plot
#
# @return status
sub _draw
{
    my $self = shift;

    # leave the appropriate border on the png
    $self->{'curr_x_max'} -= $self->{'png_border'};
    $self->{'curr_x_min'} += $self->{'png_border'};
    $self->{'curr_y_max'} -= $self->{'png_border'};
    $self->{'curr_y_min'} += $self->{'png_border'};

    # draw in the title
    $self->_draw_title() if $self->{'title'};

    # have to leave this here for backwards compatibility
    $self->_draw_sub_title() if $self->{'sub_title'};

    # sort the data if they want to (mainly here to make sure
    # pareto charts get sorted)
    $self->_sort_data() if ( $self->true( $self->{'sort'} ) );

    # start drawing the data (most methods in this will be
    # overridden by the derived classes)
    # include _draw_legend() in this to ensure that the legend
    # will be flush with the chart
    $self->_plot();

    # and return
    return 1;
}

## @var	    Hash named_colors RGB values of named colors
#
# see URL http://en.wikipedia.org/wiki/Web_colors#X11_color_names
our %named_colors = (
    'white'        => [ 255, 255, 255 ],
    'black'        => [ 0,   0,   0 ],
    'red'          => [ 200, 0,   0 ],
    'green'        => [ 0,   175, 0 ],
    'blue'         => [ 0,   0,   200 ],
    'orange'       => [ 250, 125, 0 ],
    'orange2'      => [ 238, 154, 0 ],
    'orange3'      => [ 205, 133, 0 ],
    'orange4'      => [ 139, 90,  0 ],
    'yellow'       => [ 225, 225, 0 ],
    'purple'       => [ 200, 0,   200 ],
    'light_blue'   => [ 0,   125, 250 ],
    'light_green'  => [ 125, 250, 0 ],
    'light_purple' => [ 145, 0,   250 ],
    'pink'         => [ 250, 0,   125 ],
    'peach'        => [ 250, 125, 125 ],
    'olive'        => [ 125, 125, 0 ],
    'plum'         => [ 125, 0,   125 ],
    'turquoise'    => [ 0,   125, 125 ],
    'mauve'        => [ 200, 125, 125 ],
    'brown'        => [ 160, 80,  0 ],
    'grey'         => [ 225, 225, 225 ],
    'HotPink'      => [ 255, 105, 180 ],
    'PaleGreen1'   => [ 154, 255, 154 ],
    'PaleGreen2'   => [ 144, 238, 144 ],
    'PaleGreen3'   => [ 124, 205, 124 ],
    'PaleGreen4'   => [ 84,  138, 84 ],
    'DarkBlue'     => [ 0,   0,   139 ],
    'BlueViolet'   => [ 138, 43,  226 ],
    'PeachPuff'    => [ 255, 218, 185 ],
    'PeachPuff1'   => [ 255, 218, 185 ],
    'PeachPuff2'   => [ 238, 203, 173 ],
    'PeachPuff3'   => [ 205, 175, 149 ],
    'PeachPuff4'   => [ 139, 119, 101 ],
    'chocolate1'   => [ 255, 127, 36 ],
    'chocolate2'   => [ 238, 118, 33 ],
    'chocolate3'   => [ 205, 102, 29 ],
    'chocolate4'   => [ 139, 69,  19 ],
    'LightGreen'   => [ 144, 238, 144 ],
    'lavender'     => [ 230, 230, 250 ],
    'MediumPurple' => [ 147, 112, 219 ],
    'DarkOrange'   => [ 255, 127, 0 ],
    'DarkOrange2'  => [ 238, 118, 0 ],
    'DarkOrange3'  => [ 205, 102, 0 ],
    'DarkOrange4'  => [ 139, 69,  0 ],
    'SlateBlue'    => [ 106, 90,  205 ],
    'BlueViolet'   => [ 138, 43,  226 ],
    'RoyalBlue'    => [ 65,  105, 225 ],
    # Debian-specific additions follow
    'AntiqueWhite'    => [ 250, 235, 215 ],
    'AntiqueWhite1'   => [ 255, 239, 219 ],
    'AntiqueWhite2'   => [ 238, 223, 204 ],
    'AntiqueWhite3'   => [ 205, 192, 176 ],
    'AntiqueWhite4'   => [ 139, 131, 120 ],
    'CadetBlue'       => [ 95,  158, 160 ],
    'CadetBlue1'      => [ 152, 245, 255 ],
    'CadetBlue2'      => [ 142, 229, 238 ],
    'CadetBlue3'      => [ 122, 197, 205 ],
    'CadetBlue4'      => [ 83,  134, 139 ],
    'DarkGoldenrod'   => [ 184, 134, 11 ],
    'DarkGoldenrod1'  => [ 255, 185, 15 ],
    'DarkGoldenrod2'  => [ 238, 173, 14 ],
    'DarkGoldenrod3'  => [ 205, 149, 12 ],
    'DarkGoldenrod4'  => [ 139, 101, 8 ],
    'DarkOliveGreen'  => [ 85,  107, 47 ],
    'DarkOliveGreen1' => [ 202, 255, 112 ],
    'DarkOliveGreen2' => [ 188, 238, 104 ],
    'DarkOliveGreen3' => [ 162, 205, 90 ],
    'DarkOliveGreen4' => [ 110, 139, 61 ],
    'DarkOrange1'     => [ 255, 127, 0 ],
    'DarkOrchid'      => [ 153, 50,  204 ],
    'DarkOrchid1'     => [ 191, 62,  255 ],
    'DarkOrchid2'     => [ 178, 58,  238 ],
    'DarkOrchid3'     => [ 154, 50,  205 ],
    'DarkOrchid4'     => [ 104, 34,  139 ],
    'DarkSeaGreen'    => [ 143, 188, 143 ],
    'DarkSeaGreen1'   => [ 193, 255, 193 ],
    'DarkSeaGreen2'   => [ 180, 238, 180 ],
    'DarkSeaGreen3'   => [ 155, 205, 155 ],
    'DarkSeaGreen4'   => [ 105, 139, 105 ],
    'DarkSlateGray'   => [ 47,  79,  79 ],
    'DarkSlateGray1'  => [ 151, 255, 255 ],
    'DarkSlateGray2'  => [ 141, 238, 238 ],
    'DarkSlateGray3'  => [ 121, 205, 205 ],
    'DarkSlateGray4'  => [ 82,  139, 139 ],
    'DeepPink'        => [ 255, 20,  147 ],
    'DeepPink1'       => [ 255, 20,  147 ],
    'DeepPink2'       => [ 238, 18,  137 ],
    'DeepPink3'       => [ 205, 16,  118 ],
    'DeepPink4'       => [ 139, 10,  80 ],
    'DeepSkyBlue'     => [ 0,   191, 255 ],
    'DeepSkyBlue1'    => [ 0,   191, 255 ],
    'DeepSkyBlue2'    => [ 0,   178, 238 ],
    'DeepSkyBlue3'    => [ 0,   154, 205 ],
    'DeepSkyBlue4'    => [ 0,   104, 139 ],
    'DodgerBlue'      => [ 30,  144, 255 ],
    'DodgerBlue1'     => [ 30,  144, 255 ],
    'DodgerBlue2'     => [ 28,  134, 238 ],
    'DodgerBlue3'     => [ 24,  116, 205 ],
    'DodgerBlue4'     => [ 16,  78,  139 ],
    'HotPink1'        => [ 255, 110, 180 ],
    'HotPink2'        => [ 238, 106, 167 ],
    'HotPink3'        => [ 205, 96,  144 ],
    'HotPink4'        => [ 139, 58,  98 ],
    'IndianRed'       => [ 205, 92,  92 ],
    'IndianRed1'      => [ 255, 106, 106 ],
    'IndianRed2'      => [ 238, 99,  99 ],
    'IndianRed3'      => [ 205, 85,  85 ],
    'IndianRed4'      => [ 139, 58,  58 ],
    'LavenderBlush'   => [ 255, 240, 245 ],
    'LavenderBlush1'  => [ 255, 240, 245 ],
    'LavenderBlush2'  => [ 238, 224, 229 ],
    'LavenderBlush3'  => [ 205, 193, 197 ],
    'LavenderBlush4'  => [ 139, 131, 134 ],
    'LemonChiffon'    => [ 255, 250, 205 ],
    'LemonChiffon1'   => [ 255, 250, 205 ],
    'LemonChiffon2'   => [ 238, 233, 191 ],
    'LemonChiffon3'   => [ 205, 201, 165 ],
    'LemonChiffon4'   => [ 139, 137, 112 ],
    'LightBlue'       => [ 173, 216, 230 ],
    'LightBlue1'      => [ 191, 239, 255 ],
    'LightBlue2'      => [ 178, 223, 238 ],
    'LightBlue3'      => [ 154, 192, 205 ],
    'LightBlue4'      => [ 104, 131, 139 ],
    'LightCyan'       => [ 224, 255, 255 ],
    'LightCyan1'      => [ 224, 255, 255 ],
    'LightCyan2'      => [ 209, 238, 238 ],
    'LightCyan3'      => [ 180, 205, 205 ],
    'LightCyan4'      => [ 122, 139, 139 ],
    'LightGoldenrod'  => [ 238, 221, 130 ],
    'LightGoldenrod1' => [ 255, 236, 139 ],
    'LightGoldenrod2' => [ 238, 220, 130 ],
    'LightGoldenrod3' => [ 205, 190, 112 ],
    'LightGoldenrod4' => [ 139, 129, 76 ],
    'LightPink'       => [ 255, 182, 193 ],
    'LightPink1'      => [ 255, 174, 185 ],
    'LightPink2'      => [ 238, 162, 173 ],
    'LightPink3'      => [ 205, 140, 149 ],
    'LightPink4'      => [ 139, 95,  101 ],
    'LightSalmon'     => [ 255, 160, 122 ],
    'LightSalmon1'    => [ 255, 160, 122 ],
    'LightSalmon2'    => [ 238, 149, 114 ],
    'LightSalmon3'    => [ 205, 129, 98 ],
    'LightSalmon4'    => [ 139, 87,  66 ],
    'LightSkyBlue'    => [ 135, 206, 250 ],
    'LightSkyBlue1'   => [ 176, 226, 255 ],
    'LightSkyBlue2'   => [ 164, 211, 238 ],
    'LightSkyBlue3'   => [ 141, 182, 205 ],
    'LightSkyBlue4'   => [ 96,  123, 139 ],
    'LightSteelBlue'  => [ 176, 196, 222 ],
    'LightSteelBlue1' => [ 202, 225, 255 ],
    'LightSteelBlue2' => [ 188, 210, 238 ],
    'LightSteelBlue3' => [ 162, 181, 205 ],
    'LightSteelBlue4' => [ 110, 123, 139 ],
    'LightYellow'     => [ 255, 255, 224 ],
    'LightYellow1'    => [ 255, 255, 224 ],
    'LightYellow2'    => [ 238, 238, 209 ],
    'LightYellow3'    => [ 205, 205, 180 ],
    'LightYellow4'    => [ 139, 139, 122 ],
    'MediumOrchid'    => [ 186, 85,  211 ],
    'MediumOrchid1'   => [ 224, 102, 255 ],
    'MediumOrchid2'   => [ 209, 95,  238 ],
    'MediumOrchid3'   => [ 180, 82,  205 ],
    'MediumOrchid4'   => [ 122, 55,  139 ],
    'MediumPurple1'   => [ 171, 130, 255 ],
    'MediumPurple2'   => [ 159, 121, 238 ],
    'MediumPurple3'   => [ 137, 104, 205 ],
    'MediumPurple4'   => [ 93,  71,  139 ],
    'MistyRose'       => [ 255, 228, 225 ],
    'MistyRose1'      => [ 255, 228, 225 ],
    'MistyRose2'      => [ 238, 213, 210 ],
    'MistyRose3'      => [ 205, 183, 181 ],
    'MistyRose4'      => [ 139, 125, 123 ],
    'NavajoWhite'     => [ 255, 222, 173 ],
    'NavajoWhite1'    => [ 255, 222, 173 ],
    'NavajoWhite2'    => [ 238, 207, 161 ],
    'NavajoWhite3'    => [ 205, 179, 139 ],
    'NavajoWhite4'    => [ 139, 121, 94 ],
    'OliveDrab'       => [ 107, 142, 35 ],
    'OliveDrab1'      => [ 192, 255, 62 ],
    'OliveDrab2'      => [ 179, 238, 58 ],
    'OliveDrab3'      => [ 154, 205, 50 ],
    'OliveDrab4'      => [ 105, 139, 34 ],
    'OrangeRed'       => [ 255, 69,  0 ],
    'OrangeRed1'      => [ 255, 69,  0 ],
    'OrangeRed2'      => [ 238, 64,  0 ],
    'OrangeRed3'      => [ 205, 55,  0 ],
    'OrangeRed4'      => [ 139, 37,  0 ],
    'PaleGreen'       => [ 152, 251, 152 ],
    'PaleTurquoise'   => [ 175, 238, 238 ],
    'PaleTurquoise1'  => [ 187, 255, 255 ],
    'PaleTurquoise2'  => [ 174, 238, 238 ],
    'PaleTurquoise3'  => [ 150, 205, 205 ],
    'PaleTurquoise4'  => [ 102, 139, 139 ],
    'PaleVioletRed'   => [ 219, 112, 147 ],
    'PaleVioletRed1'  => [ 255, 130, 171 ],
    'PaleVioletRed2'  => [ 238, 121, 159 ],
    'PaleVioletRed3'  => [ 205, 104, 137 ],
    'PaleVioletRed4'  => [ 139, 71,  93 ],
    'RosyBrown'       => [ 188, 143, 143 ],
    'RosyBrown1'      => [ 255, 193, 193 ],
    'RosyBrown2'      => [ 238, 180, 180 ],
    'RosyBrown3'      => [ 205, 155, 155 ],
    'RosyBrown4'      => [ 139, 105, 105 ],
    'RoyalBlue1'      => [ 72,  118, 255 ],
    'RoyalBlue2'      => [ 67,  110, 238 ],
    'RoyalBlue3'      => [ 58,  95,  205 ],
    'RoyalBlue4'      => [ 39,  64,  139 ],
    'SeaGreen'        => [ 46,  139, 87 ],
    'SeaGreen1'       => [ 84,  255, 159 ],
    'SeaGreen2'       => [ 78,  238, 148 ],
    'SeaGreen3'       => [ 67,  205, 128 ],
    'SeaGreen4'       => [ 46,  139, 87 ],
    'SkyBlue'         => [ 135, 206, 235 ],
    'SkyBlue1'        => [ 135, 206, 255 ],
    'SkyBlue2'        => [ 126, 192, 238 ],
    'SkyBlue3'        => [ 108, 166, 205 ],
    'SkyBlue4'        => [ 74,  112, 139 ],
    'SlateBlue1'      => [ 131, 111, 255 ],
    'SlateBlue2'      => [ 122, 103, 238 ],
    'SlateBlue3'      => [ 105, 89,  205 ],
    'SlateBlue4'      => [ 71,  60,  139 ],
    'SlateGray'       => [ 112, 128, 144 ],
    'SlateGray1'      => [ 198, 226, 255 ],
    'SlateGray2'      => [ 185, 211, 238 ],
    'SlateGray3'      => [ 159, 182, 205 ],
    'SlateGray4'      => [ 108, 123, 139 ],
    'SpringGreen'     => [ 0,   255, 127 ],
    'SpringGreen1'    => [ 0,   255, 127 ],
    'SpringGreen2'    => [ 0,   238, 118 ],
    'SpringGreen3'    => [ 0,   205, 102 ],
    'SpringGreen4'    => [ 0,   139, 69 ],
    'SteelBlue'       => [ 70,  130, 180 ],
    'SteelBlue1'      => [ 99,  184, 255 ],
    'SteelBlue2'      => [ 92,  172, 238 ],
    'SteelBlue3'      => [ 79,  148, 205 ],
    'SteelBlue4'      => [ 54,  100, 139 ],
    'VioletRed'       => [ 208, 32,  144 ],
    'VioletRed1'      => [ 255, 62,  150 ],
    'VioletRed2'      => [ 238, 58,  140 ],
    'VioletRed3'      => [ 205, 50,  120 ],
    'VioletRed4'      => [ 139, 34,  82 ],
    'aquamarine'      => [ 127, 255, 212 ],
    'aquamarine1'     => [ 127, 255, 212 ],
    'aquamarine2'     => [ 118, 238, 198 ],
    'aquamarine3'     => [ 102, 205, 170 ],
    'aquamarine4'     => [ 69,  139, 116 ],
    'azure'           => [ 240, 255, 255 ],
    'azure1'          => [ 240, 255, 255 ],
    'azure2'          => [ 224, 238, 238 ],
    'azure3'          => [ 193, 205, 205 ],
    'azure4'          => [ 131, 139, 139 ],
    'bisque'          => [ 255, 228, 196 ],
    'bisque1'         => [ 255, 228, 196 ],
    'bisque2'         => [ 238, 213, 183 ],
    'bisque3'         => [ 205, 183, 158 ],
    'bisque4'         => [ 139, 125, 107 ],
    'blue1'           => [ 0,   0,   255 ],
    'blue2'           => [ 0,   0,   238 ],
    'blue3'           => [ 0,   0,   205 ],
    'blue4'           => [ 0,   0,   139 ],
    'brown1'          => [ 255, 64,  64 ],
    'brown2'          => [ 238, 59,  59 ],
    'brown3'          => [ 205, 51,  51 ],
    'brown4'          => [ 139, 35,  35 ],
    'burlywood'       => [ 222, 184, 135 ],
    'burlywood1'      => [ 255, 211, 155 ],
    'burlywood2'      => [ 238, 197, 145 ],
    'burlywood3'      => [ 205, 170, 125 ],
    'burlywood4'      => [ 139, 115, 85 ],
    'chartreuse'      => [ 127, 255, 0 ],
    'chartreuse1'     => [ 127, 255, 0 ],
    'chartreuse2'     => [ 118, 238, 0 ],
    'chartreuse3'     => [ 102, 205, 0 ],
    'chartreuse4'     => [ 69,  139, 0 ],
    'chocolate'       => [ 210, 105, 30 ],
    'coral'           => [ 255, 127, 80 ],
    'coral1'          => [ 255, 114, 86 ],
    'coral2'          => [ 238, 106, 80 ],
    'coral3'          => [ 205, 91,  69 ],
    'coral4'          => [ 139, 62,  47 ],
    'cornsilk'        => [ 255, 248, 220 ],
    'cornsilk1'       => [ 255, 248, 220 ],
    'cornsilk2'       => [ 238, 232, 205 ],
    'cornsilk3'       => [ 205, 200, 177 ],
    'cornsilk4'       => [ 139, 136, 120 ],
    'cyan'            => [ 0,   255, 255 ],
    'cyan1'           => [ 0,   255, 255 ],
    'cyan2'           => [ 0,   238, 238 ],
    'cyan3'           => [ 0,   205, 205 ],
    'cyan4'           => [ 0,   139, 139 ],
    'firebrick'       => [ 178, 34,  34 ],
    'firebrick1'      => [ 255, 48,  48 ],
    'firebrick2'      => [ 238, 44,  44 ],
    'firebrick3'      => [ 205, 38,  38 ],
    'firebrick4'      => [ 139, 26,  26 ],
    'gold'            => [ 255, 215, 0 ],
    'gold1'           => [ 255, 215, 0 ],
    'gold2'           => [ 238, 201, 0 ],
    'gold3'           => [ 205, 173, 0 ],
    'gold4'           => [ 139, 117, 0 ],
    'goldenrod'       => [ 218, 165, 32 ],
    'goldenrod1'      => [ 255, 193, 37 ],
    'goldenrod2'      => [ 238, 180, 34 ],
    'goldenrod3'      => [ 205, 155, 29 ],
    'goldenrod4'      => [ 139, 105, 20 ],
    'gray'            => [ 190, 190, 190 ],
    'gray1'           => [ 3,   3,   3 ],
    'gray2'           => [ 5,   5,   5 ],
    'gray3'           => [ 8,   8,   8 ],
    'gray4'           => [ 10,  10,  10 ],
    'green1'          => [ 0,   255, 0 ],
    'green2'          => [ 0,   238, 0 ],
    'green3'          => [ 0,   205, 0 ],
    'green4'          => [ 0,   139, 0 ],
    'grey1'           => [ 3,   3,   3 ],
    'grey2'           => [ 5,   5,   5 ],
    'grey3'           => [ 8,   8,   8 ],
    'grey4'           => [ 10,  10,  10 ],
    'honeydew'        => [ 240, 255, 240 ],
    'honeydew1'       => [ 240, 255, 240 ],
    'honeydew2'       => [ 224, 238, 224 ],
    'honeydew3'       => [ 193, 205, 193 ],
    'honeydew4'       => [ 131, 139, 131 ],
    'ivory'           => [ 255, 255, 240 ],
    'ivory1'          => [ 255, 255, 240 ],
    'ivory2'          => [ 238, 238, 224 ],
    'ivory3'          => [ 205, 205, 193 ],
    'ivory4'          => [ 139, 139, 131 ],
    'khaki'           => [ 240, 230, 140 ],
    'khaki1'          => [ 255, 246, 143 ],
    'khaki2'          => [ 238, 230, 133 ],
    'khaki3'          => [ 205, 198, 115 ],
    'khaki4'          => [ 139, 134, 78 ],
    'magenta'         => [ 255, 0,   255 ],
    'magenta1'        => [ 255, 0,   255 ],
    'magenta2'        => [ 238, 0,   238 ],
    'magenta3'        => [ 205, 0,   205 ],
    'magenta4'        => [ 139, 0,   139 ],
    'maroon'          => [ 176, 48,  96 ],
    'maroon1'         => [ 255, 52,  179 ],
    'maroon2'         => [ 238, 48,  167 ],
    'maroon3'         => [ 205, 41,  144 ],
    'maroon4'         => [ 139, 28,  98 ],
    'orange1'         => [ 255, 165, 0 ],
    'orchid'          => [ 218, 112, 214 ],
    'orchid1'         => [ 255, 131, 250 ],
    'orchid2'         => [ 238, 122, 233 ],
    'orchid3'         => [ 205, 105, 201 ],
    'orchid4'         => [ 139, 71,  137 ],
    'pink1'           => [ 255, 181, 197 ],
    'pink2'           => [ 238, 169, 184 ],
    'pink3'           => [ 205, 145, 158 ],
    'pink4'           => [ 139, 99,  108 ],
    'plum1'           => [ 255, 187, 255 ],
    'plum2'           => [ 238, 174, 238 ],
    'plum3'           => [ 205, 150, 205 ],
    'plum4'           => [ 139, 102, 139 ],
    'purple1'         => [ 155, 48,  255 ],
    'purple2'         => [ 145, 44,  238 ],
    'purple3'         => [ 125, 38,  205 ],
    'purple4'         => [ 85,  26,  139 ],
    'red1'            => [ 255, 0,   0 ],
    'red2'            => [ 238, 0,   0 ],
    'red3'            => [ 205, 0,   0 ],
    'red4'            => [ 139, 0,   0 ],
    'salmon'          => [ 250, 128, 114 ],
    'salmon1'         => [ 255, 140, 105 ],
    'salmon2'         => [ 238, 130, 98 ],
    'salmon3'         => [ 205, 112, 84 ],
    'salmon4'         => [ 139, 76,  57 ],
    'seashell'        => [ 255, 245, 238 ],
    'seashell1'       => [ 255, 245, 238 ],
    'seashell2'       => [ 238, 229, 222 ],
    'seashell3'       => [ 205, 197, 191 ],
    'seashell4'       => [ 139, 134, 130 ],
    'sienna'          => [ 160, 82,  45 ],
    'sienna1'         => [ 255, 130, 71 ],
    'sienna2'         => [ 238, 121, 66 ],
    'sienna3'         => [ 205, 104, 57 ],
    'sienna4'         => [ 139, 71,  38 ],
    'snow'            => [ 255, 250, 250 ],
    'snow1'           => [ 255, 250, 250 ],
    'snow2'           => [ 238, 233, 233 ],
    'snow3'           => [ 205, 201, 201 ],
    'snow4'           => [ 139, 137, 137 ],
    'tan'             => [ 210, 180, 140 ],
    'tan1'            => [ 255, 165, 79 ],
    'tan2'            => [ 238, 154, 73 ],
    'tan3'            => [ 205, 133, 63 ],
    'tan4'            => [ 139, 90,  43 ],
    'thistle'         => [ 216, 191, 216 ],
    'thistle1'        => [ 255, 225, 255 ],
    'thistle2'        => [ 238, 210, 238 ],
    'thistle3'        => [ 205, 181, 205 ],
    'thistle4'        => [ 139, 123, 139 ],
    'tomato'          => [ 255, 99,  71 ],
    'tomato1'         => [ 255, 99,  71 ],
    'tomato2'         => [ 238, 92,  66 ],
    'tomato3'         => [ 205, 79,  57 ],
    'tomato4'         => [ 139, 54,  38 ],
    'turquoise1'      => [ 0,   245, 255 ],
    'turquoise2'      => [ 0,   229, 238 ],
    'turquoise3'      => [ 0,   197, 205 ],
    'turquoise4'      => [ 0,   134, 139 ],
    'wheat'           => [ 245, 222, 179 ],
    'wheat1'          => [ 255, 231, 186 ],
    'wheat2'          => [ 238, 216, 174 ],
    'wheat3'          => [ 205, 186, 150 ],
    'wheat4'          => [ 139, 126, 102 ],
    'yellow1'         => [ 255, 255, 0 ],
    'yellow2'         => [ 238, 238, 0 ],
    'yellow3'         => [ 205, 205, 0 ],
    'yellow4'         => [ 139, 139, 0 ],
);

## @fn private int _set_colors
#  specify my colors
# @return status
sub _set_colors
{
    my $self = shift;

    my $index = $self->_color_role_to_index('background');    # allocate GD color
    if ( $self->true( $self->{'transparent'} ) )
    {
        $self->{'gd_obj'}->transparent($index);
    }

    # all other roles are initialized by calling $self->_color_role_to_index(ROLENAME);

    # and return
    return 1;
}

## @fn private int _color_role_to_index
# return a (list of) color index(es) corresponding to the (list of) role(s)
#
# @details wantarray
# is a special keyword which returns a flag indicating
# which context your subroutine has been called in.
# It will return one of three values.
#
# @li true: If your subroutine has been called in list context
# @li false: If your subroutine has been called in scalar context
# @li undef: If your subroutine has been called in void context
#
# @return a (list of) color index(es) corresponding to the (list of) role(s) in \@_.
#
sub _color_role_to_index
{
    my $self = shift;

    # Return a (list of) color index(es) corresponding to the (list of) role(s) in @_.
    my @result = map {
        my $role  = $_;
        my $index = $self->{'color_table'}->{$role};

        #print STDERR "Role = $_\n";

        unless ( defined $index )
        {
            my $spec =
                 $self->{'colors'}->{$role}
              || $self->{'colors_default_spec'}->{$role}
              || $self->{'colors_default_spec'}->{ $self->{'colors_default_role'}->{$role} };

            my @rgb = $self->_color_spec_to_rgb( $role, $spec );

            #print STDERR "spec = $spec\n";

            my $string = sprintf " RGB(%d,%d,%d)", map { $_ + 0 } @rgb;

            $index = $self->{'color_table'}->{$string};
            unless ( defined $index )
            {
                $index = $self->{'gd_obj'}->colorAllocate(@rgb);
                $self->{'color_table'}->{$string} = $index;
            }

            $self->{'color_table'}->{$role} = $index;
        }
        $index;
    } @_;


    #print STDERR "Result= ".$result[0]."\n";
    ( wantarray && @_ > 1 ? @result : $result[0] );
}

## @fn private array _color_spec_to_rgb($role,$spec)
# Return an array (list of) rgb values for spec
# @param[in] $role name of a role
# @param[in] $spec [r,g,b] or name
# @return array of rgb values as a list (i.e., \@rgb)
#
sub _color_spec_to_rgb
{
    my $self = shift;
    my $role = shift;    # for error messages
    my $spec = shift;    # [r,g,b] or name

    my @rgb;             # result
    if ( ref($spec) eq 'ARRAY' )
    {
        @rgb = @{$spec};
        croak "Invalid color RGB array (" . join( ',', @rgb ) . ") for $role\n"

          unless @rgb == 3 && grep( !m/^\d+$/ || $_ > 255, @rgb ) == 0;
    }
    elsif ( !ref($spec) )
    {
        croak "Unknown named color ($spec) for $role\n"
          unless $named_colors{$spec};
        @rgb = @{ $named_colors{$spec} };
    }
    else
    {
        croak "Unrecognized color for $role\n";
    }
    @rgb;
}

## @fn private int _brushStyles_of_roles
# return a (list of) brushStyles corresponding to the (list of) role(s)
#
# @param \@list_of_roles List of roles
# @return (list of) brushStyle(s) corresponding to the (list of) role(s) in \@_.
#
sub _brushStyles_of_roles
{
    my $self  = shift;
    my @roles = @_;

    my @results = ();
    foreach my $role (@roles)
    {
        my $brushStyle = $self->{'brushStyles'}->{$role};

        if ( !defined($brushStyle) )
        {
            $brushStyle = $self->{'brushStyle'};
        }
        push( @results, $brushStyle );
    }
    @results;
}

## @fn private int _draw_title
#  draw the title for the chart
#
# The title was defined by the user in set('title' => ....)\n
# The user may define some title lines by separating them via character '\\n';\n
# The used font is taken from 'title_font';\n
# The used color is calculated by function '_color_role_to_index'
# based on 'title' or 'text'\n
# @see _color_role_to_index
# @return status
sub _draw_title
{
    my $self = shift;
    my $font = $self->{'title_font'};
    my $color;
    my ( $h, $w, @lines, $x, $y );

    #get the right color
    if ( defined $self->{'colors'}{'title'} )
    {
        $color = $self->_color_role_to_index('title');
    }
    else
    {
        $color = $self->_color_role_to_index('text');
    }

    # make sure we're actually using a real font
    unless ( ( ref $font ) eq 'GD::Font' )
    {
        croak "The title font you specified isn\'t a GD Font object";
    }

    # get the height and width of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # split the title into lines
    @lines = split( /\\n/, $self->{'title'} );

    # write the first line
    $x = ( $self->{'curr_x_max'} - $self->{'curr_x_min'} ) / 2 + $self->{'curr_x_min'} - ( length( $lines[0] ) * $w ) / 2;
    $y = $self->{'curr_y_min'} + $self->{'text_space'};
    $self->{'gd_obj'}->string( $font, $x, $y, $lines[0], $color );

    # now loop through the rest of them
    # (the font is decreased in width and height by 1
    if ( $w > 1 ) { $w--; }
    if ( $h > 1 ) { $h--; }
    for ( 1 .. $#lines )
    {
        $self->{'curr_y_min'} += $self->{'text_space'} + $h;
        $x = ( $self->{'curr_x_max'} - $self->{'curr_x_min'} ) / 2 + $self->{'curr_x_min'} - ( length( $lines[$_] ) * $w ) / 2;
        $y = $self->{'curr_y_min'} + $self->{'text_space'};
        $self->{'gd_obj'}->string( $font, $x, $y, $lines[$_], $color );
    }

    # mark off that last space
    $self->{'curr_y_min'} += 2 * $self->{'text_space'} + $h;

    # and return
    return 1;
}

## @fn private int _draw_sub_title()
#  draw the sub-title for the chart
# @see _draw_title\n
# _draw_sub_title() is more or less obsolete as _draw_title() does the same
# by writing more than one line as the title.
# Both use decreased width and height of the font by one.
# @return status
sub _draw_sub_title
{
    my $self = shift;

    my $font = $self->{'sub_title_font'};
    my $text = $self->{'sub_title'};
    return 1 if length($text) == 0;    # nothing to plot

    #get the right color
    my $color;
    if ( defined $self->{'colors'}{'title'} )
    {
        $color = $self->_color_role_to_index('title');
    }
    else
    {
        $color = $self->_color_role_to_index('text');
    }

    my ( $h, $w, $x, $y );

    # make sure we're using a real font
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The subtitle font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );
    if ( $h > 1 && $w > 1 ) { $h--, $w-- }

    # figure out the placement
    $x = ( $self->{'curr_x_max'} - $self->{'curr_x_min'} ) / 2 + $self->{'curr_x_min'} - ( length($text) * $w ) / 2;
    $y = $self->{'curr_y_min'};

    # now draw the subtitle
    $self->{'gd_obj'}->string( $font, $x, $y, $text, $color );

    # Adapt curr_y_min
    $self->{'curr_y_min'} += $self->{'text_space'} + $h;

    # and return
    return 1;
}

## @fn private int _sort_data()
#  sort the data nicely (mostly for the pareto charts and xy-plots)
# @return status
sub _sort_data
{
    my $self     = shift;
    my $data_ref = $self->{'dataref'};
    my @data     = @{ $self->{'dataref'} };
    my @sort_index;

    #sort the data with slices
    @sort_index = sort { $data[0][$a] <=> $data[0][$b] } ( 0 .. scalar( @{ $data[1] } ) - 1 );
    for ( 1 .. $#data )
    {
        @{ $self->{'dataref'}->[$_] } = @{ $self->{'dataref'}->[$_] }[@sort_index];
    }
    @{ $data_ref->[0] } = sort { $a <=> $b } @{ $data_ref->[0] };

    #finally return
    return 1;
}

## @fn private int _find_x_scale()
# For a xy-plot do the same for the x values, as '_find_y_scale' does for the y values!
# @see _find_y_scale
# @return status
sub _find_x_scale
{
    my $self = shift;
    my @data = @{ $self->{'dataref'} };
    my ( $i,     $j );
    my ( $d_min, $d_max );
    my ( $p_min, $p_max, $f_min, $f_max );
    my ( $tickInterval, $tickCount, $skip );
    my @tickLabels;
    my $maxtickLabelLen = 0;

    #look, if we have numbers
    #see also if we only have integers
    for $i ( 0 .. ( $self->{'num_datasets'} ) )
    {
        for $j ( 0 .. ( $self->{'num_datapoints'} - 1 ) )
        {

            # the following regular Expression matches all possible numbers, including scientific numbers
            # iff data is defined
            if ( defined $data[$i][$j] and $data[$i][$j] !~ m/^[\+\-]?((\.\d+)|(\d+\.?\d*))([eE][+-]?\d+)?[fFdD]?$/ )
            {
                croak "<$data[$i][$j]> You should give me numbers for drawing a xy plot!\n";
            }
        }
    }

    #find the dataset min and max
    ( $d_min, $d_max ) = $self->_find_x_range();

    # Force the inclusion of zero if the user has requested it.
    if ( $self->true( $self->{'include_zero'} ) )
    {
        if ( ( $d_min * $d_max ) > 0 )    # If both are non zero and of the same sign.
        {
            if ( $d_min > 0 )             # If the whole scale is positive.
            {
                $d_min = 0;
            }
            else                          # The scale is entirely negative.
            {
                $d_max = 0;
            }
        }
    }

    # Calculate the width of the dataset. (possibly modified by the user)
    my $d_width = $d_max - $d_min;

    # If the width of the range is zero, forcebly widen it
    # (to avoid division by zero errors elsewhere in the code).
    if ( 0 == $d_width )
    {
        $d_min--, $d_max++, $d_width = 2;
    }

    # Descale the range by converting the dataset width into
    # a floating point exponent & mantisa pair.
    my ( $rangeExponent, $rangeMantisa ) = $self->_sepFP($d_width);
    my $rangeMuliplier = 10**$rangeExponent;

    # Find what tick
    # to use & how many ticks to plot,
    # round the plot min & max to suatable round numbers.
    ( $tickInterval, $tickCount, $p_min, $p_max ) = $self->_calcXTickInterval(
        $d_min / $rangeMuliplier,
        $d_max / $rangeMuliplier,
        $f_min, $f_max,
        $self->{'min_x_ticks'},
        $self->{'max_x_ticks'}
    );

    # Restore the tickInterval etc to the correct scale
    $_ *= $rangeMuliplier foreach ( $tickInterval, $p_min, $p_max );

    #get the precision for the labels
    my $precision = $self->{'precision'};

    # Now sort out an array of tick labels.
    for ( my $labelNum = $p_min ; $labelNum < $p_max + $tickInterval / 2 ; $labelNum += $tickInterval )
    {
        my $labelText;

        if ( defined $self->{f_y_tick} )
        {

            # Is _default_f_tick function used?
            if ( $self->{f_y_tick} == \&_default_f_tick )
            {
                $labelText = sprintf( "%." . $precision . "f", $labelNum );
            }
            else
            {
                $labelText = $self->{f_y_tick}->($labelNum);
            }
        }
        else
        {
            $labelText = sprintf( "%." . $precision . "f", $labelNum );
        }

        push @tickLabels, $labelText;
        $maxtickLabelLen = length $labelText if $maxtickLabelLen < length $labelText;
    }

    # Store the calculated data.
    $self->{'x_min_val'}             = $p_min,
      $self->{'x_max_val'}           = $p_max,
      $self->{'x_tick_labels'}       = \@tickLabels,
      $self->{'x_tick_label_length'} = $maxtickLabelLen,
      $self->{'x_number_ticks'}      = $tickCount;
    return 1;
}

## @fn private int _find_y_scale()
#  find good values for the minimum and maximum y-value on the chart
# @return status
#
# New version, re-written by David Pottage of Tao Group.\n
# This code is *AS IS* and comes with *NO WARRANTY*\n
#
# This Sub calculates correct values for the following class local variables,
# if they have not been set by the user.
#
# max_val, min_val: 	The maximum and minimum values for the y axis.\n
# y_ticks:		The number of ticks to plot on the y scale, including
#			the end points. e.g. If the scale runs from 0 to 50,
#			with ticks every 10, y_ticks will have the value of 6.\n
# y_tick_labels:	An array of strings, each is a label for the y axis.\n
# y_tick_labels_length:	The length to allow for B tick labels. (How long is
#                       the longest?)
sub _find_y_scale
{
    my $self = shift;

    # Predeclare vars.
    my ( $d_min,        $d_max );              # Dataset min & max.
    my ( $p_min,        $p_max );              # Plot min & max.
    my ( $tickInterval, $tickCount, $skip );
    my @tickLabels;                            # List of labels for each tick.
    my $maxtickLabelLen = 0;                   # The length of the longest tick label.
    my $prec_test       = 0;                   # Boolean which indicate if precision < |rangeExponent|
    my $temp_rangeExponent;

    my $flag_all_integers = 1;                 # assume true

    # Find the dataset minimum and maximum.
    ( $d_min, $d_max, $flag_all_integers ) = $self->_find_y_range();

    # Force the inclusion of zero if the user has requested it.
    if ( $self->true( $self->{'include_zero'} ) )
    {

        #print "include_zero = true\n";
        if ( ( $d_min * $d_max ) > 0 )         # If both are non zero and of the same sign.
        {
            if ( $d_min > 0 )                  # If the whole scale is positive.
            {
                $d_min = 0;
            }
            else                               # The scale is entirely negative.
            {
                $d_max = 0;
            }
        }
    }

    if ( $self->true( $self->{'integer_ticks_only'} ) )
    {

        # Allow the dataset range to be overidden by the user.
        # f_min/f_max are booleans which indicate that the min & max should not be modified.
        my $f_min = 0;
        if ( defined $self->{'min_val'} ) { $f_min = 1; }
        $d_min = $self->{'min_val'} if $f_min;

        my $f_max = 0;
        if ( defined $self->{'max_val'} ) { $f_max = 1; }
        $d_max = $self->{'max_val'} if $f_max;

        # Assert against defined min and max.
        if ( !defined $d_min || !defined $d_max )
        {
            croak "No min_val or max_val is defined";
        }

        # Assert against the min is larger than the max.
        if ( $d_min > $d_max )
        {
            croak "The specified 'min_val' & 'max_val' values are reversed (min > max: $d_min>$d_max)";
        }

        # The user asked for integer ticks, force the limits to integers.
        # & work out the range directly.
        #$p_min = $self->_round2Tick($d_min, 1, -1);
        #$p_max = $self->_round2Tick($d_max, 1, 1);

        $skip = $self->{skip_int_ticks};
        $skip = 1 if $skip < 1;

        $p_min = $self->_round2Tick( $d_min, 1, -1 );
        $p_max = $self->_round2Tick( $d_max, 1, 1 );
        if ( ( $p_max - $p_min ) == 0 )
        {
            $p_max++ if ( $f_max != 1 );                # p_max is not defined by the user
            $p_min-- if ( $f_min != 1 );                # p_min is not defined by the user
            $p_max++ if ( ( $p_max - $p_min ) == 0 );
        }

        $tickInterval = $skip;
        $tickCount    = ( $p_max - $p_min ) / $skip + 1;

        # Now sort out an array of tick labels.

        for ( my $labelNum = $p_min ; $labelNum < $p_max + $tickInterval / 3 ; $labelNum += $tickInterval )
        {
            my $labelText;

            if ( defined $self->{f_y_tick} )
            {

                # Is _default_f_tick function used?
                if ( $self->{f_y_tick} == \&_default_f_tick )
                {
                    $labelText = sprintf( "%d", $labelNum );
                }
                else
                {
                    $labelText = $self->{f_y_tick}->($labelNum);
                }
            }
            else
            {
                $labelText = sprintf( "%d", $labelNum );
            }

            push @tickLabels, $labelText;
            $maxtickLabelLen = length $labelText if $maxtickLabelLen < length $labelText;
        }
    }
    else
    {

        # Allow the dataset range to be overidden by the user.
        # f_min/f_max are booleans which indicate that the min & max should not be modified.
        my $f_min = 0;
        if ( defined $self->{'min_val'} ) { $f_min = 1; }
        $d_min = $self->{'min_val'} if $f_min;

        my $f_max = 0;
        if ( defined $self->{'max_val'} ) { $f_max = 1; }
        $d_max = $self->{'max_val'} if $f_max;

        #  print "fmin $f_min fmax $f_max\n";
        #  print "dmin $d_min dmax $d_max\n";

        # Assert against defined min and max.
        if ( !defined $d_min || !defined $d_max )
        {
            croak "No min_val or max_val is defined";
        }

        # Assert against the min is larger than the max.
        if ( $d_min > $d_max )
        {
            croak "The the specified 'min_val' & 'max_val' values are reversed (min > max: $d_min>$d_max)";
        }

        # Calculate the width of the dataset. (possibly modified by the user)
        my $d_width = $d_max - $d_min;

        # If the width of the range is zero, forcibly widen it
        # (to avoid division by zero errors elsewhere in the code).
        if ( $d_width == 0 )
        {
            $d_min--, $d_max++, $d_width = 2;
        }

        # Descale the range by converting the dataset width into
        # a floating point exponent & mantisa pair.
        my ( $rangeExponent, $rangeMantisa ) = $self->_sepFP($d_width);
        my $rangeMuliplier = 10**$rangeExponent;

        # print "fmin $f_min fmax $f_max\n";
        # print "dmin $d_min dmax $d_max\n";

        # Find what tick
        # to use & how many ticks to plot,
        # round the plot min & max to suitable round numbers.
        ( $tickInterval, $tickCount, $p_min, $p_max ) = $self->_calcTickInterval(
            $d_min / $rangeMuliplier,
            $d_max / $rangeMuliplier,
            $f_min, $f_max,
            $self->{'min_y_ticks'},
            $self->{'max_y_ticks'}
        );

        # Restore the tickInterval etc to the correct scale
        $_ *= $rangeMuliplier foreach ( $tickInterval, $p_min, $p_max );

        # Is precision < |rangeExponent|?
        if ( $rangeExponent < 0 )
        {
            $temp_rangeExponent = -$rangeExponent;
        }
        else
        {
            $temp_rangeExponent = $rangeExponent;
        }

        # print "pmin $p_min pmax $p_max\n";
        # print "range exponent $rangeExponent\n";

        #get the precision for the labels
        my $precision = $self->{'precision'};

        if (   $temp_rangeExponent != 0
            && $rangeExponent < 0
            && $temp_rangeExponent > $precision )
        {
            $prec_test = 1;
        }

        # Now sort out an array of tick labels.
        for ( my $labelNum = $p_min ; $labelNum < $p_max + $tickInterval / 2 ; $labelNum += $tickInterval )
        {
            my $labelText;
            if ( defined $self->{f_y_tick} )
            {

                # Is _default_f_tick function used?
                if ( ( $self->{f_y_tick} == \&_default_f_tick ) && ( $prec_test == 0 ) )
                {
                    $labelText = sprintf( "%." . $precision . "f", $labelNum );
                }

                # If precision <|rangeExponent| print the labels whith exponents
                elsif ( ( $self->{f_y_tick} == \&_default_f_tick ) && ( $prec_test == 1 ) )
                {
                    $labelText = $self->{f_y_tick}->($labelNum);

                    #  print "precision $precision\n";
                    #  print "temp range exponent $temp_rangeExponent\n";
                    #  print "range exponent $rangeExponent\n";
                    #  print "labelText $labelText\n";

                }
                else
                {
                    $labelText = $self->{f_y_tick}->($labelNum);
                }
            }
            else
            {
                $labelText = sprintf( "%." . $precision . "f", $labelNum );
            }
            push @tickLabels, $labelText;
            $maxtickLabelLen = length $labelText if $maxtickLabelLen < length $labelText;
        }    # end for
    }

    # Store the calculated data.
    #### begin debugging output
    #if ( defined $self->{'y_ticks'} )
    #{
    #    print "_find_y_scale: self->{'y_ticks'}=".$self->{'y_ticks'}."\n";
    #}
    #else
    #{
    #   print "_find_y_scale: self->{'y_ticks'}= NOT DEFINED\n";
    #}
    #if ( defined $self->{'min_val'} )
    #{
    #    print "_find_y_scale: self->{'min_val'}=".$self->{'min_val'}."\n";
    #}
    #else
    #{
    #    print "_find_y_scale: self->{'min_val'}=NOT DEFINED\n";
    #}
    #if ( defined $self->{'max_val'} )
    #{
    #    print "_find_y_scale: self->{'max_val'}=".$self->{'max_val'}."\n";
    #}
    #else
    #{
    #    print "_find_y_scale: self->{'max_val'}= NOT DEFINED\n";
    #}
    #### end debugging output

    $self->{'min_val'}               = $p_min,
      $self->{'max_val'}             = $p_max,
      $self->{'y_ticks'}             = $tickCount,
      $self->{'y_tick_labels'}       = \@tickLabels,
      $self->{'y_tick_label_length'} = $maxtickLabelLen;

    ##################
    #print statement is for debug only
    #print "_find_y_scale: min_val = $p_min, max_val=$p_max\n";
    ##################

    # and return.
    return 1;
}

## @fn private _calcTickInterval($dataset_min, $dataset_max, $flag_fixed_min, $flag_fixed_max, $minTicks, $maxTicks)
# @brief
# Calculate the Interval between ticks in y direction
#
# @details
# Calculate the Interval between ticks in y direction
# and compare the number of ticks to
# the user's given values min_y_ticks, max_y_ticks.
#
# @param[in] $dataset_min Minimal value in y direction
# @param[in] $dataset_max Maximal value in y direction
# @param[in] $flag_fixed_min Indicator whether the dataset_min value is fixed
# @param[in] $flag_fixed_max Indicator whether the dataset_max value is fixed
# @param[in] $minTicks Minimal number of ticks wanted
# @param[in] $maxTicks Maximal number of ticks wanted
# @return Array of ($tickInterval, $tickCount, $pMin, $pMax)
#
sub _calcTickInterval
{
    my $self = shift;

    my (
        $dataset_min,    $dataset_max,       # The dataset min & max.
        $flag_fixed_min, $flag_fixed_max,    # Indicates if those min/max are fixed.
        $minTicks,       $maxTicks,          # The minimum & maximum number of ticks.
    ) = @_;

# print "calcTickInterval dataset_min $dataset_min dataset_max $dataset_max flag_fixed_min $flag_fixed_min flag_mixed_max $flag_fixed_max\n";

    # Verify the supplied 'min_y_ticks' & 'max_y_ticks' are sensible.
    if ( $minTicks < 2 )
    {

        #print STDERR "Chart::Base::_calcTickInterval : Incorrect value for 'min_y_ticks', too small (less than 2).\n";
        $minTicks = 2;
    }

    if ( $maxTicks < 5 * $minTicks )
    {

        #print STDERR "Chart::Base::_calcTickInterval : Incorrect value for 'max_y_ticks', too small (<5*minTicks).\n";
        $maxTicks = 5 * $minTicks;
    }

    my $width = $dataset_max - $dataset_min;
    my @divisorList;

    for ( my $baseMul = 1 ; ; $baseMul *= 10 )
    {
      TRY: foreach my $tryMul ( 1, 2, 5 )
        {

            # Calc a fresh, smaller tick interval.
            my $divisor = $baseMul * $tryMul;

            # Count the number of ticks.
            my ( $tickCount, $pMin, $pMax ) = $self->_countTicks( $dataset_min, $dataset_max, 1 / $divisor );

            # Look a the number of ticks.
            if ( $maxTicks < $tickCount )
            {

                # If it is to high, Backtrack.
                $divisor = pop @divisorList;

                # just for security:
                if ( !defined($divisor) || $divisor == 0 ) { $divisor = 1; }
                ( $tickCount, $pMin, $pMax ) = $self->_countTicks( $dataset_min, $dataset_max, 1 / $divisor );

#print STDERR "\nChart::Base : Caution: Tick limit of $maxTicks exceeded. Backing of to an interval of ".1/$divisor." which plots $tickCount ticks\n";
                return ( 1 / $divisor, $tickCount, $pMin, $pMax );
            }
            elsif ( $minTicks > $tickCount )
            {

                # If it is too low, try again.
                next TRY;
            }
            else
            {

                # Store the divisor for possible later backtracking.
                push @divisorList, $divisor;

                # if the min or max is fixed, check they will fit in the interval.
                next TRY if ( $flag_fixed_min && ( int( $dataset_min * $divisor ) != ( $dataset_min * $divisor ) ) );
                next TRY if ( $flag_fixed_max && ( int( $dataset_max * $divisor ) != ( $dataset_max * $divisor ) ) );

                # If everything passes the tests, return.
                return ( 1 / $divisor, $tickCount, $pMin, $pMax );
            }
        }
    }

    die "can't happen!";
}

## @fn private int _calcXTickInterval($min,$max,$minF,$maxF,$minTicks,$maxTicks)
# @brief
# Calculate the Interval between ticks in x direction
#
# @details
# Calculate the Interval between ticks in x direction
# and compare the number of ticks to
# the user's given values minTicks, maxTicks.
#
# @param[in] $min Minimal value of dataset in x direction
# @param[in] $max Maximal value of dataset in x direction
# @param[in] $minF Inddicator if those min value is fixed
# @param[in] $maxF Inddicator if those max value is fixed
# @param[in] $minTicks Minimal number of tick in x direction
# @param[in] $maxTicks Maximal number of tick in x direction
# @return $tickInterval, $tickCount, $pMin, $pMax
sub _calcXTickInterval
{
    my $self = shift;
    my (
        $min,      $max,         # The dataset min & max.
        $minF,     $maxF,        # Indicates if those min/max are fixed.
        $minTicks, $maxTicks,    # The minimum & maximum number of ticks.
    ) = @_;

    # Verify the supplied 'min_y_ticks' & 'max_y_ticks' are sensible.
    if ( $minTicks < 2 )
    {

        #print STDERR "Chart::Base::_calcXTickInterval : Incorrect value for 'min_y_ticks', too small.\n";
        $minTicks = 2;
    }

    if ( $maxTicks < 5 * $minTicks )
    {

        #print STDERR "Chart::Base::_calcXTickInterval : Incorrect value for 'max_y_ticks', to small.\n";
        $maxTicks = 5 * $minTicks;
    }

    my $width = $max - $min;
    my @divisorList;

    for ( my $baseMul = 1 ; ; $baseMul *= 10 )
    {
      TRY: foreach my $tryMul ( 1, 2, 5 )
        {

            # Calc a fresh, smaller tick interval.
            my $divisor = $baseMul * $tryMul;

            # Count the number of ticks.
            my ( $tickCount, $pMin, $pMax ) = $self->_countTicks( $min, $max, 1 / $divisor );

            #print STDERR "Chart::Base::_calcXTickInterval : tickCount = $tickCount, maxTicks = $maxTicks\n";
            # Look a the number of ticks.
            if ( $maxTicks < $tickCount )
            {

                # If it is to high, Backtrack.
                $divisor = pop @divisorList;

                # just for security:
                if ( !defined($divisor) || $divisor == 0 ) { $divisor = 1; }
                ( $tickCount, $pMin, $pMax ) = $self->_countTicks( $min, $max, 1 / $divisor );

#print STDERR "\nChart::Base : Caution: Tick limit of $maxTicks exceeded. Backing of to an interval of ".1/$divisor." which plots $tickCount ticks\n";
                return ( 1 / $divisor, $tickCount, $pMin, $pMax );
            }
            elsif ( $minTicks > $tickCount )
            {

                # If it is too low, try again.
                next TRY;
            }
            else
            {

                # Store the divisor for possible later backtracking.
                push @divisorList, $divisor;

                # if the min or max is fixed, check they will fit in the interval.
                next TRY if ( $minF && ( int( $min * $divisor ) != ( $min * $divisor ) ) );
                next TRY if ( $maxF && ( int( $max * $divisor ) != ( $max * $divisor ) ) );

                # If everything passes the tests, return.
                return ( 1 / $divisor, $tickCount, $pMin, $pMax );
            }
        }
    }

    croak "can't happen!";
}

## @fn private int _countTicks($min,$max,$interval)
#
# @brief
# Works out how many ticks would be displayed at that interval
#
# @param $min Minimal value
# @param $max Maximal value
# @param $interval value
# @return ($tickCount, $minR, $maxR)
#
# @details
#
# e.g min=2, max=5, interval=1, result is 4 ticks.\n
# written by David Pottage of Tao Group.\n
# $minR = $self->_round2Tick( $min, $interval, -1);\n
# $maxR = $self->_round2Tick( $max, $interval, 1);\n
# $tickCount = ( $maxR/$interval ) - ( $minR/$interval ) +1;
sub _countTicks
{
    my $self = shift;
    my ( $min, $max, $interval ) = @_;

    my $minR = $self->_round2Tick( $min, $interval, -1 );
    my $maxR = $self->_round2Tick( $max, $interval, 1 );

    my $tickCount = ( $maxR / $interval ) - ( $minR / $interval ) + 1;

    return ( $tickCount, $minR, $maxR );
}

## @fn private int _round2Tick($input, $interval, $roundUP)
# Rounds up or down to the next tick of interval size.
#
# $roundUP can be +1 or -1 to indicate if rounding should be up or down.\n
# written by David Pottage of Tao Group.
#
# @param $input
# @param $interval
# @param $roundUP
# @return retN*interval
sub _round2Tick
{
    my $self = shift;
    my ( $input, $interval, $roundUP ) = @_;
    return $input if $interval == 0;
    die unless 1 == $roundUP * $roundUP;

    my $intN  = int( $input / $interval );
    my $fracN = ( $input / $interval ) - $intN;

    my $retN =
      ( ( 0 == $fracN ) || ( ( $roundUP * $fracN ) < 0 ) )
      ? $intN
      : $intN + $roundUP;

    return $retN * $interval;
}

## @fn private array _sepFP($num)
# @brief
# Seperates a number into it's base 10 floating point exponent & mantisa.
# @details
# written by David Pottage of Tao Group.
#
# @param $num Floating point number
# @return ( exponent, mantissa)
sub _sepFP
{
    my $self = shift;
    my ($num) = @_;
    return ( 0, 0 ) if $num == 0;

    my $sign = ( $num > 0 ) ? 1 : -1;
    $num *= $sign;

    my $exponent = int( log($num) / log(10) );
    my $mantisa = $sign * ( $num / ( 10**$exponent ) );

    return ( $exponent, $mantisa );
}

## @fn private array _find_y_range()
# Find minimum and maximum value of y data sets.
#
# @return ( min, max, flag_all_integers )
sub _find_y_range
{
    my $self = shift;
    my $data = $self->{'dataref'};

    my $max               = undef;
    my $min               = undef;
    my $flag_all_integers = 1;       # assume true

    for my $dataset ( @$data[ 1 .. $#$data ] )
    {
        for my $datum (@$dataset)
        {
            if ( defined $datum )
            {

                #croak "Missing data (dataset)";
                if ($flag_all_integers)
                {

                    # it's worth looking for integers
                    if ( $datum !~ /^[\-\+]?\d+$/ )
                    {
                        $flag_all_integers = 0;    # No
                    }
                }
                if ( $datum =~ /^[\-\+]?\s*[\d\.eE\-\+]+/ )
                {
                    if ( defined $max && $max =~ /^[\-\+]{0,}\s*[\d\.eE\-\+]+/ )
                    {
                        if    ( $datum > $max ) { $max = $datum; }
                        elsif ( !defined $min ) { $min = $datum; }
                        elsif ( $datum < $min ) { $min = $datum; }
                    }
                    else { $min = $max = $datum }
                }
            }
        }
    }

    # Return:
    ( $min, $max, $flag_all_integers );
}

## @fn private array _find_x_range()
# Find minimum and maximum value of x data sets
# @return ( min, max )
sub _find_x_range
{
    my $self = shift;
    my $data = $self->{'dataref'};

    my $max = undef;
    my $min = undef;

    for my $datum ( @{ $data->[0] } )
    {
        if ( defined $datum && $datum =~ /^[\-\+]{0,1}\s*[\d\.eE\-\+]+/ )
        {
            if ( defined $max && $max =~ /^[\-\+]{0,1}\s*[\d\.eE\-\+]+/ )
            {
                if    ( $datum > $max ) { $max = $datum }
                elsif ( $datum < $min ) { $min = $datum }
            }
            else { $min = $max = $datum }
        }
    }

    return ( $min, $max );
}

## @fn private int _plot()
# main sub that controls all the plotting of the actual chart
# @return status
sub _plot
{
    my $self = shift;

    # draw the legend first
    $self->_draw_legend();

    # mark off the graph_border space
    $self->{'curr_x_min'} += $self->{'graph_border'};
    $self->{'curr_x_max'} -= $self->{'graph_border'};
    $self->{'curr_y_min'} += $self->{'graph_border'};
    $self->{'curr_y_max'} -= $self->{'graph_border'};

    # draw the x- and y-axis labels
    $self->_draw_x_label          if $self->{'x_label'};
    $self->_draw_y_label('left')  if $self->{'y_label'};
    $self->_draw_y_label('right') if $self->{'y_label2'};

    # draw the ticks and tick labels
    $self->_draw_ticks();

    # give the plot a grey background if they want it
    $self->_grey_background if ( $self->true( $self->{'grey_background'} ) );

    #draw the ticks again if grey_background has ruined it in a Direction Chart.
    if ( $self->true( $self->{'grey_background'} ) && $self->isa("Chart::Direction") )
    {
        $self->_draw_ticks;
    }
    $self->_draw_grid_lines    if ( $self->true( $self->{'grid_lines'} ) );
    $self->_draw_x_grid_lines  if ( $self->true( $self->{'x_grid_lines'} ) );
    $self->_draw_y_grid_lines  if ( $self->true( $self->{'y_grid_lines'} ) );
    $self->_draw_y2_grid_lines if ( $self->true( $self->{'y2_grid_lines'} ) );

    # plot the data
    $self->_draw_data();

    # and return
    return 1;
}

## @fn private int _draw_legend()
# let the user know what all the pretty colors mean.\n
# The user define the position of the legend by setting option
# 'legend' to 'top', 'bottom', 'left', 'right' or 'none'.
# The legend is positioned at the defined place, respectively.
# @return status
sub _draw_legend
{
    my $self = shift;
    my $length;

    # check to see if legend type is none..
    if ( $self->{'legend'} =~ /^none$/ || length( $self->{'legend'} ) == 0 )
    {
        return 1;
    }

    # check to see if they have as many labels as datasets,
    # warn them if not
    if (   ( $#{ $self->{'legend_labels'} } >= 0 )
        && ( ( scalar( @{ $self->{'legend_labels'} } ) ) != $self->{'num_datasets'} ) )
    {
        carp "The number of legend labels and datasets doesn\'t match";
    }

    # init a field to store the length of the longest legend label
    unless ( $self->{'max_legend_label'} )
    {
        $self->{'max_legend_label'} = 0;
    }

    # fill in the legend labels, find the longest one
    for ( 1 .. $self->{'num_datasets'} )
    {
        unless ( $self->{'legend_labels'}[ $_ - 1 ] )
        {
            $self->{'legend_labels'}[ $_ - 1 ] = "Dataset $_";
        }
        $length = length( $self->{'legend_labels'}[ $_ - 1 ] );
        if ( $length > $self->{'max_legend_label'} )
        {
            $self->{'max_legend_label'} = $length;
        }
    }

    # different legend types
    if ( $self->{'legend'} eq 'bottom' )
    {
        $self->_draw_bottom_legend;
    }
    elsif ( $self->{'legend'} eq 'right' )
    {
        $self->_draw_right_legend;
    }
    elsif ( $self->{'legend'} eq 'left' )
    {
        $self->_draw_left_legend;
    }
    elsif ( $self->{'legend'} eq 'top' )
    {
        $self->_draw_top_legend;
    }
    elsif ( $self->{'legend'} eq 'none' || length( $self->{'legend'} ) == 0 )
    {
        $self->_draw_none_legend;
    }
    else
    {
        carp "I can't put a legend there (at " . $self->{'legend'} . ")\n";
    }

    # and return
    return 1;
}

## @fn private int _draw_bottom_legend()
# put the legend on the bottom of the chart
# @return status
sub _draw_bottom_legend
{
    my $self = shift;

    my @labels = @{ $self->{'legend_labels'} };
    my ( $x1,          $y1,              $x2,   $x3,   $y2 );
    my ( $empty_width, $max_label_width, $cols, $rows, $color, $brush );
    my ( $col_width,   $row_height,      $r,    $c,    $index, $x, $y, $w, $h, $axes_space );
    my $font = $self->{'legend_font'};

    # make sure we're using a real font
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # find the base x values
    $axes_space =
      ( $self->{'y_tick_label_length'} * $self->{'tick_label_font'}->width ) +
      $self->{'tick_len'} +
      ( 3 * $self->{'text_space'} );
    $x1 = $self->{'curr_x_min'} + $self->{'graph_border'};
    $x2 = $self->{'curr_x_max'} - $self->{'graph_border'};

    if ( $self->{'y_axes'} =~ /^right$/i )
    {
        $x2 -= $axes_space;
    }
    elsif ( $self->{'y_axes'} =~ /^both$/i )
    {
        $x2 -= $axes_space;
        $x1 += $axes_space;
    }

    if ( $self->{'y_label'} )
    {
        $x1 += $self->{'label_font'}->height + 2 * $self->{'text_space'};
    }
    if ( $self->{'y_label2'} )
    {
        $x2 -= $self->{'label_font'}->height + 2 * $self->{'text_space'};
    }

    # figure out how wide the columns need to be, and how many we
    # can fit in the space available
    $empty_width = ( $x2 - $x1 ) - ( 2 * $self->{'legend_space'} );
    $max_label_width = $self->{'max_legend_label'} * $w + ( 4 * $self->{'text_space'} ) + $self->{'legend_example_size'};
    $cols = int( $empty_width / $max_label_width );

    unless ($cols)
    {
        $cols = 1;
    }
    $col_width = $empty_width / $cols;

    # figure out how many rows we need, remember how tall they are
    $rows = int( $self->{'num_datasets'} / $cols );
    unless ( ( $self->{'num_datasets'} % $cols ) == 0 )
    {
        $rows++;
    }
    unless ($rows)
    {
        $rows = 1;
    }
    $row_height = $h + $self->{'text_space'};

    # box the legend off
    $y1 = $self->{'curr_y_max'} - $self->{'text_space'} - ( $rows * $row_height ) - ( 2 * $self->{'legend_space'} );
    $y2 = $self->{'curr_y_max'};
    $self->{'gd_obj'}->rectangle( $x1, $y1, $x2, $y2, $self->_color_role_to_index('misc') );
    $x1 += $self->{'legend_space'} + $self->{'text_space'};
    $x2 -= $self->{'legend_space'};
    $y1 += $self->{'legend_space'} + $self->{'text_space'};
    $y2 -= $self->{'legend_space'} + $self->{'text_space'};

    # draw in the actual legend
    for $r ( 0 .. $rows - 1 )
    {
        for $c ( 0 .. $cols - 1 )
        {
            $index = ( $r * $cols ) + $c;    # find the index in the label array
            if ( $labels[$index] )
            {

                # get the color
                $color = $self->_color_role_to_index( 'dataset' . $index );

                # get the x-y coordinate for the start of the example line
                $x = $x1 + ( $col_width * $c );
                $y = $y1 + ( $row_height * $r ) + $h / 2;

                # now draw the example line
                $self->{'gd_obj'}->line( $x, $y, $x + $self->{'legend_example_size'}, $y, $color );

                # reset the brush for points
                $brush = $self->_prepare_brush( $color, 'point', 'dataset' . $index );
                $self->{'gd_obj'}->setBrush($brush);

                # draw the point
                $x3 = int( $x + $self->{'legend_example_size'} / 2 );
                $self->{'gd_obj'}->line( $x3, $y, $x3, $y, gdBrushed );

                # adjust the x-y coordinates for the start of the label
                $x += $self->{'legend_example_size'} + ( 2 * $self->{'text_space'} );
                $y = $y1 + ( $row_height * $r );

                # now draw the label
                $self->{'gd_obj'}->string( $font, $x, $y, $labels[$index], $color );
            }
        }
    }

    # mark off the space used
    $self->{'curr_y_max'} -= ( $rows * $row_height ) + $self->{'text_space'} + ( 2 * $self->{'legend_space'} );

    # now return
    return 1;
}

## @fn private int _draw_right_legend()
# put the legend on the right of the chart
# @return status
sub _draw_right_legend
{
    my $self   = shift;
    my @labels = @{ $self->{'legend_labels'} };
    my ( $x1, $x2, $x3, $y1, $y2, $width, $color, $misccolor, $w, $h, $brush );
    my $font = $self->{'legend_font'};

    # make sure we're using a real font
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The subtitle font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # get the miscellaneous color
    $misccolor = $self->_color_role_to_index('misc');

    # find out how wide the largest label is
    $width =
      ( 2 * $self->{'text_space'} ) +
      ( $self->{'max_legend_label'} * $w ) +
      $self->{'legend_example_size'} +
      ( 2 * $self->{'legend_space'} );

    # get some starting x-y values
    $x1 = $self->{'curr_x_max'} - $width;
    $x2 = $self->{'curr_x_max'};
    $y1 = $self->{'curr_y_min'} + $self->{'graph_border'};
    $y2 =
      $self->{'curr_y_min'} +
      $self->{'graph_border'} +
      $self->{'text_space'} +
      ( $self->{'num_datasets'} * ( $h + $self->{'text_space'} ) ) +
      ( 2 * $self->{'legend_space'} );

    # box the legend off
    $self->{'gd_obj'}->rectangle( $x1, $y1, $x2, $y2, $misccolor );

    # leave that nice space inside the legend box
    $x1 += $self->{'legend_space'};
    $y1 += $self->{'legend_space'} + $self->{'text_space'};

    # now draw the actual legend
    for ( 0 .. $#labels )
    {

        # get the color
        my $c = $self->{'num_datasets'} - $_ - 1;

        # color of the datasets in the legend
        $color = $self->_color_role_to_index( 'dataset' . $_ );

        # find the x-y coords
        $x2 = $x1;
        $x3 = $x2 + $self->{'legend_example_size'};
        $y2 = $y1 + ( $_ * ( $self->{'text_space'} + $h ) ) + $h / 2;

        # do the line first
        $self->{'gd_obj'}->line( $x2, $y2, $x3, $y2, $color );

        # reset the brush for points
        my $offset = 0;
        ( $brush, $offset ) = $self->_prepare_brush( $color, 'point', 'dataset' . $_ );
        $self->{'gd_obj'}->setBrush($brush);

        # draw the point
        $self->{'gd_obj'}->line( int( ( $x3 + $x2 ) / 2 ), $y2, int( ( $x3 + $x2 ) / 2 ), $y2, gdBrushed );

        # now the label
        $x2 = $x3 + ( 2 * $self->{'text_space'} );
        $y2 -= $h / 2;

        # order of the datasets in the legend
        $self->{'gd_obj'}->string( $font, $x2, $y2, $labels[$_], $color );
    }

    # mark off the used space
    $self->{'curr_x_max'} -= $width;

    # and return
    return 1;
}

## @fn private int _draw_top_legend()
# put the legend on top of the chart
# @return status
sub _draw_top_legend
{
    my $self   = shift;
    my @labels = @{ $self->{'legend_labels'} };
    my ( $x1, $y1, $x2, $x3, $y2, $empty_width, $max_label_width );
    my ( $cols, $rows, $color, $brush );
    my ( $col_width, $row_height, $r, $c, $index, $x, $y, $w, $h, $axes_space );
    my $font = $self->{'legend_font'};

    # make sure we're using a real font
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The subtitle font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # find the base x values
    $axes_space =
      ( $self->{'y_tick_label_length'} * $self->{'tick_label_font'}->width ) +
      $self->{'tick_len'} +
      ( 3 * $self->{'text_space'} );
    $x1 = $self->{'curr_x_min'} + $self->{'graph_border'};
    $x2 = $self->{'curr_x_max'} - $self->{'graph_border'};

    if ( $self->{'y_axes'} =~ /^right$/i )
    {
        $x2 -= $axes_space;
    }
    elsif ( $self->{'y_axes'} =~ /^both$/i )
    {
        $x2 -= $axes_space;
        $x1 += $axes_space;
    }

    # figure out how wide the columns can be, and how many will fit
    $empty_width = ( $x2 - $x1 ) - ( 2 * $self->{'legend_space'} );
    $max_label_width = ( 4 * $self->{'text_space'} ) + ( $self->{'max_legend_label'} * $w ) + $self->{'legend_example_size'};
    $cols = int( $empty_width / $max_label_width );
    unless ($cols)
    {
        $cols = 1;
    }
    $col_width = $empty_width / $cols;

    # figure out how many rows we need and remember how tall they are
    $rows = int( $self->{'num_datasets'} / $cols );
    unless ( ( $self->{'num_datasets'} % $cols ) == 0 )
    {
        $rows++;
    }
    unless ($rows)
    {
        $rows = 1;
    }
    $row_height = $h + $self->{'text_space'};

    # box the legend off
    $y1 = $self->{'curr_y_min'};
    $y2 = $self->{'curr_y_min'} + $self->{'text_space'} + ( $rows * $row_height ) + ( 2 * $self->{'legend_space'} );
    $self->{'gd_obj'}->rectangle( $x1, $y1, $x2, $y2, $self->_color_role_to_index('misc') );

    # leave some space inside the legend
    $x1 += $self->{'legend_space'} + $self->{'text_space'};
    $x2 -= $self->{'legend_space'};
    $y1 += $self->{'legend_space'} + $self->{'text_space'};
    $y2 -= $self->{'legend_space'} + $self->{'text_space'};

    # draw in the actual legend
    for $r ( 0 .. $rows - 1 )
    {
        for $c ( 0 .. $cols - 1 )
        {
            $index = ( $r * $cols ) + $c;    # find the index in the label array
            if ( $labels[$index] )
            {

                # get the color
                $color = $self->_color_role_to_index( 'dataset' . $index );

                # find the x-y coords
                $x = $x1 + ( $col_width * $c );
                $y = $y1 + ( $row_height * $r ) + $h / 2;

                # draw the line first
                $self->{'gd_obj'}->line( $x, $y, $x + $self->{'legend_example_size'}, $y, $color );

                # reset the brush for points
                $brush = $self->_prepare_brush( $color, 'point', 'dataset' . $index );
                $self->{'gd_obj'}->setBrush($brush);

                # draw the point
                $x3 = int( $x + $self->{'legend_example_size'} / 2 );
                $self->{'gd_obj'}->line( $x3, $y, $x3, $y, gdBrushed );

                # now the label
                $x += $self->{'legend_example_size'} + ( 2 * $self->{'text_space'} );
                $y -= $h / 2;
                $self->{'gd_obj'}->string( $font, $x, $y, $labels[$index], $color );
            }
        }
    }

    # mark off the space used
    $self->{'curr_y_min'} += ( $rows * $row_height ) + $self->{'text_space'} + 2 * $self->{'legend_space'};

    # now return
    return 1;
}

## @fn private int _draw_left_legend()
# put the legend on the left of the chart
# @return status
sub _draw_left_legend
{
    my $self   = shift;
    my @labels = @{ $self->{'legend_labels'} };
    my ( $x1, $x2, $x3, $y1, $y2, $width, $color, $misccolor, $w, $h, $brush );
    my $font = $self->{'legend_font'};

    # make sure we're using a real font
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The subtitle font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # get the miscellaneous color
    $misccolor = $self->_color_role_to_index('misc');

    # find out how wide the largest label is
    $width =
      ( 2 * $self->{'text_space'} ) +
      ( $self->{'max_legend_label'} * $w ) +
      $self->{'legend_example_size'} +
      ( 2 * $self->{'legend_space'} );

    # get some base x-y coordinates
    $x1 = $self->{'curr_x_min'};
    $x2 = $self->{'curr_x_min'} + $width;
    $y1 = $self->{'curr_y_min'} + $self->{'graph_border'};
    $y2 =
      $self->{'curr_y_min'} +
      $self->{'graph_border'} +
      $self->{'text_space'} +
      ( $self->{'num_datasets'} * ( $h + $self->{'text_space'} ) ) +
      ( 2 * $self->{'legend_space'} );

    # box the legend off
    $self->{'gd_obj'}->rectangle( $x1, $y1, $x2, $y2, $misccolor );

    # leave that nice space inside the legend box
    $x1 += $self->{'legend_space'};
    $y1 += $self->{'legend_space'} + $self->{'text_space'};

    # now draw the actual legend
    for ( 0 .. $#labels )
    {

        # get the color
        my $c = $self->{'num_datasets'} - $_ - 1;

        # color of the datasets in the legend
        $color = $self->_color_role_to_index( 'dataset' . $_ );

        # find the x-y coords
        $x2 = $x1;
        $x3 = $x2 + $self->{'legend_example_size'};
        $y2 = $y1 + ( $_ * ( $self->{'text_space'} + $h ) ) + $h / 2;

        # do the line first
        $self->{'gd_obj'}->line( $x2, $y2, $x3, $y2, $color );

        # reset the brush for points
        $brush = $self->_prepare_brush( $color, 'point', 'dataset' . $_ );
        $self->{'gd_obj'}->setBrush($brush);

        # draw the point
        $self->{'gd_obj'}->line( int( ( $x3 + $x2 ) / 2 ), $y2, int( ( $x3 + $x2 ) / 2 ), $y2, gdBrushed );

        # now the label
        $x2 = $x3 + ( 2 * $self->{'text_space'} );
        $y2 -= $h / 2;

        # order of the datasets in the legend
        $self->{'gd_obj'}->string( $font, $x2, $y2, $labels[$_], $color );
    }

    # mark off the used space
    $self->{'curr_x_min'} += $width;

    # and return
    return 1;
}

## @fn private int _draw_none_legend()
# no legend to draw..
# Just return in this case. This routine may be overwritten by
# subclasses.
# @return 1
sub _draw_none_legend
{
    my $self   = shift;
    my $status = 1;

    return $status;
}

## @fn private int _draw_x_label()
# draw the label for the x-axis
#
# Get font for labels\n
# Get the color of x_label or text\n
# Get size of font\n
# and write x-Label
#
# @return status
sub _draw_x_label
{
    my $self  = shift;
    my $label = $self->{'x_label'};
    my $font  = $self->{'label_font'};
    my $color;
    my ( $h, $w, $x, $y );

    #get the right color
    if ( defined $self->{'colors'}->{'x_label'} )
    {
        $color = $self->_color_role_to_index('x_label');
    }
    else
    {
        $color = $self->_color_role_to_index('text');
    }

    # make sure it's a real GD Font object
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The x-axis label font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # make sure it goes in the right place
    $x = ( $self->{'curr_x_max'} - $self->{'curr_x_min'} ) / 2 + $self->{'curr_x_min'} - ( length($label) * $w ) / 2;
    $y = $self->{'curr_y_max'} - ( $self->{'text_space'} + $h );

    # now write it
    $self->{'gd_obj'}->string( $font, $x, $y, $label, $color );

    # mark the space written to as used
    $self->{'curr_y_max'} -= $h + 2 * $self->{'text_space'};

    # and return
    return 1;
}

## @fn private int _draw_y_label()
# draw the label for the y-axis
# @return status
sub _draw_y_label
{
    my $self = shift;
    my $side = shift;
    my $font = $self->{'label_font'};
    my ( $label, $h, $w, $x, $y, $color );

    # get the label
    if ( $side eq 'left' )
    {
        $label = $self->{'y_label'};
        $color = $self->_color_role_to_index('y_label');
    }
    elsif ( $side eq 'right' )
    {
        $label = $self->{'y_label2'};
        $color = $self->_color_role_to_index('y_label2');
    }

    # make sure it's a real GD Font object
    unless ( ( ref($font) ) eq 'GD::Font' )
    {
        croak "The x-axis label font you specified isn\'t a GD Font object";
    }

    # get the size of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # make sure it goes in the right place
    if ( $side eq 'left' )
    {
        $x = $self->{'curr_x_min'} + $self->{'text_space'};
    }
    elsif ( $side eq 'right' )
    {
        $x = $self->{'curr_x_max'} - $self->{'text_space'} - $h;
    }
    $y = ( $self->{'curr_y_max'} - $self->{'curr_y_min'} ) / 2 + $self->{'curr_y_min'} + ( length($label) * $w ) / 2;

    # write it
    $self->{'gd_obj'}->stringUp( $font, $x, $y, $label, $color );

    # mark the space written to as used
    if ( $side eq 'left' )
    {
        $self->{'curr_x_min'} += $h + 2 * $self->{'text_space'};
    }
    elsif ( $side eq 'right' )
    {
        $self->{'curr_x_max'} -= $h + 2 * $self->{'text_space'};
    }

    # now return
    return 1;
}

## @fn private int _draw_ticks()
# draw the ticks and tick labels
# @return status
sub _draw_ticks
{
    my $self = shift;

    #if the user wants an xy_plot, calculate the x-ticks too
    if (
        $self->true( $self->{'xy_plot'} )
        && (   $self->isa('Chart::Lines')
            || $self->isa('Chart::Points')
            || $self->isa('Chart::LinesPoints')
            || $self->isa('Chart::Split')
            || $self->isa('Chart::ErrorBars') )
      )
    {
        $self->_draw_x_number_ticks;
    }
    else
    {    # draw the x ticks with strings
        $self->_draw_x_ticks;
    }

    # now the y ticks
    $self->_draw_y_ticks( $self->{'y_axes'} );

    # then return
    return 1;
}

## @fn private int _draw_x_number_ticks()
# draw the ticks and tick labels
# @return status
sub _draw_x_number_ticks
{
    my $self      = shift;
    my $data      = $self->{'dataref'};
    my $font      = $self->{'tick_label_font'};
    my $textcolor = $self->_color_role_to_index('text');
    my $misccolor = $self->_color_role_to_index('misc');
    my ( $h, $w, $x1, $y1, $y2, $x2, $delta, $width, $label );
    my @labels = @{ $self->{'x_tick_labels'} };

    $self->{'grid_data'}->{'x'} = [];

    #make sure we have a real font
    unless ( ( ref $font ) eq 'GD::Font' )
    {
        croak "The tick label font you specified isn't a GD font object";
    }

    #get height and width of the font
    ( $h, $w ) = ( $font->height, $font->width );

    #store actual borders, for a possible later repair
    $self->{'temp_x_min'} = $self->{'curr_x_min'};
    $self->{'temp_x_max'} = $self->{'curr_x_max'};
    $self->{'temp_y_max'} = $self->{'curr_y_max'};
    $self->{'temp_y_min'} = $self->{'curr_y_min'};

    #get the right x-value and width
    #The one and only way to get the RIGHT x value and the width
    if ( $self->{'y_axes'} =~ /^right$/i )
    {
        $x1 = $self->{'curr_x_min'};
        $width =
          $self->{'curr_x_max'} -
          $x1 -
          ( $w * $self->{'y_tick_label_length'} ) -
          3 * $self->{'text_space'} -
          $self->{'tick_len'};
    }
    elsif ( $self->{'y_axes'} =~ /^both$/i )
    {
        $x1 = $self->{'curr_x_min'} + ( $w * $self->{'y_tick_label_length'} ) + 3 * $self->{'text_space'} + $self->{'tick_len'};
        $width =
          $self->{'curr_x_max'} -
          $x1 -
          ( $w * $self->{'y_tick_label_length'} ) -
          ( 3 * $self->{'text_space'} ) -
          $self->{'tick_len'};
    }
    else
    {
        $x1 = $self->{'curr_x_min'} + ( $w * $self->{'y_tick_label_length'} ) + 3 * $self->{'text_space'} + $self->{'tick_len'};
        $width = $self->{'curr_x_max'} - $x1;
    }

    #get the delta value
    $delta = $width / ( $self->{'x_number_ticks'} - 1 );

    #draw the labels
    $y2 = $y1;

    if ( $self->{'x_ticks'} =~ /^normal/i )
    {    #just normal ticks
            #get the point for updating later
        $y1 = $self->{'curr_y_max'} - 2 * $self->{'text_space'} - $h - $self->{'tick_len'};

        #get the start point
        $y2 = $y1 + $self->{'tick_len'} + $self->{'text_space'};

        if ( $self->{'xlabels'} )
        {
            unless ( $self->{'xrange'} )
            {
                croak "Base.pm: xrange must be specified with xlabels!\n";
            }
            my $xmin   = $self->{'xrange'}[0];
            my $xmax   = $self->{'xrange'}[1];
            my @labels = @{ $self->{'xlabels'}[0] };
            my @vals   = @{ $self->{'xlabels'}[1] };
            my $delta  = $width / ( $xmax - $xmin );

            for ( 0 .. $#labels )
            {
                my $label = $labels[$_];
                my $val   = $vals[$_];
                $x2 = $x1 + ( $delta * $val ) - ( 0.5 * $w * length($label) );
                $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );

                #print "write x-label '".$label."' at ($x2,$y2)\n";
            }
        }
        else
        {
            my $last_x = 'undefined';
            for ( 0 .. $#labels )
            {
                $label = $self->{f_x_tick}->( $self->{'x_tick_labels'}[$_] );
                $x2 = $x1 + ( $delta * $_ ) - ( 0.5 * $w * length($label) );
                if (   $last_x eq 'undefined'
                    or $last_x < $x2 )
                {
                    $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );
                    $last_x = $x2 + ( $w * length($label) );
                }

                #print "last_x = $last_x, write string '".$label."' at ($x2,$y2) to '$_'\n";
            }
        }
    }

    elsif ( $self->{'x_ticks'} =~ /^staggered/i )
    {    #staggered ticks
            #get the point for updating later
        $y1 = $self->{'curr_y_max'} - 3 * $self->{'text_space'} - 2 * $h - $self->{'tick_len'};

        if ( $self->{'xlabels'} )
        {
            unless ( $self->{'xrange'} )
            {
                croak "Base.pm: xrange must be specified with xlabels!\n";
            }
            my $xmin   = $self->{'xrange'}[0];
            my $xmax   = $self->{'xrange'}[1];
            my @labels = @{ $self->{'xlabels'}[0] };
            my @vals   = @{ $self->{'xlabels'}[1] };
            my $delta  = $width / ( $xmax - $xmin );

            for ( 0 .. $#labels )
            {
                my $label = $labels[$_];
                my $val   = $vals[$_];
                $x2 = $x1 + ( $delta * $val ) - ( 0.5 * $w * length($label) );
                unless ( $_ % 2 )
                {
                    $y2 = $y1 + $self->{'text_space'} + $self->{'tick_len'};
                }
                else
                {
                    $y2 = $y1 + $h + 2 * $self->{'text_space'} + $self->{'tick_len'};
                }
                $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );

                #print "write x-label '".$label."' at ($x2,$y2)\n";
            }
        }
        else
        {
            for ( 0 .. $#labels )
            {
                $label = $self->{f_x_tick}->( $self->{'x_tick_labels'}[$_] );
                $x2 = $x1 + ( $delta * $_ ) - ( 0.5 * $w * length($label) );
                unless ( $_ % 2 )
                {
                    $y2 = $y1 + $self->{'text_space'} + $self->{'tick_len'};
                }
                else
                {
                    $y2 = $y1 + $h + 2 * $self->{'text_space'} + $self->{'tick_len'};
                }
                $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );
            }
        }
    }

    elsif ( $self->{'x_ticks'} =~ /^vertical/i )
    {    #vertical ticks
            #get the point for updating later
        $y1 = $self->{'curr_y_max'} - 2 * $self->{'text_space'} - $w * $self->{'x_tick_label_length'} - $self->{'tick_len'};

        if ( $self->{'xlabels'} )
        {
            unless ( $self->{'xrange'} )
            {
                croak "Base.pm: xrange must be specified with xlabels!\n";
            }
            my $xmin   = $self->{'xrange'}[0];
            my $xmax   = $self->{'xrange'}[1];
            my @labels = @{ $self->{'xlabels'}[0] };
            my @vals   = @{ $self->{'xlabels'}[1] };
            my $delta  = $width / ( $xmax - $xmin );

            for ( 0 .. $#labels )
            {
                my $label = $labels[$_];
                my $val   = $vals[$_];
                $y2 = $y1 + $self->{'tick_len'} + $w * length($label) + $self->{'text_space'};
                $x2 = $x1 + ( $delta * $val ) - ( $h / 2 );
                $self->{'gd_obj'}->stringUp( $font, $x2, $y2, $label, $textcolor );

                #print "write x-label '".$label."' at ($x2,$y2)\n";
            }
        }
        else
        {

            for ( 0 .. $#labels )
            {
                $label = $self->{f_x_tick}->( $self->{'x_tick_labels'}[$_] );

                #get the start point
                $y2 = $y1 + $self->{'tick_len'} + $w * length($label) + $self->{'text_space'};
                $x2 = $x1 + ( $delta * $_ ) - ( $h / 2 );
                $self->{'gd_obj'}->stringUp( $font, $x2, $y2, $label, $textcolor );
            }
        }
    }

    else
    {
        croak "I don't understand the type of x-ticks you specified\n"
          . "x-ticks must be one of 'normal', 'staggered' or 'vertical' but not of '"
          . $self->{'x_ticks'} . "'.";
    }

    #update the curr y max value
    $self->{'curr_y_max'} = $y1;

    #draw the ticks
    $y1 = $self->{'curr_y_max'};
    $y2 = $self->{'curr_y_max'} + $self->{'tick_len'};

    #draw grid lines
    if ( $self->{'xlabels'} )
    {
        unless ( $self->{'xrange'} )
        {
            croak "Base.pm: xrange must be specified with xlabels!\n";
        }
        my $xmin  = $self->{'xrange'}[0];
        my $xmax  = $self->{'xrange'}[1];
        my @vals  = @{ $self->{'xlabels'}[1] };
        my $delta = $width / ( $xmax - $xmin );

        for ( 0 .. $#vals )
        {
            my $val = $vals[$_];
            $x2 = ($x1) + ( $delta * $val );
            $self->{'gd_obj'}->line( $x2, $y1, $x2, $y2, $misccolor );
            if (   ( $self->{'grid_lines'} =~ /^true$/i )
                or ( $self->{'x_grid_lines'} =~ /^true$/i ) )
            {
                $self->{'grid_data'}->{'x'}->[$_] = $x2;
            }
        }
    }
    else
    {
        for ( 0 .. $#labels )
        {
            $x2 = $x1 + ( $delta * $_ );
            $self->{'gd_obj'}->line( $x2, $y1, $x2, $y2, $misccolor );
            if (   ( $self->true( $self->{'grid_lines'} ) )
                or ( $self->true( $self->{'x_grid_lines'} ) ) )
            {
                $self->{'grid_data'}->{'x'}->[$_] = $x2;
            }
        }
    }
    return 1;
}

## @fn private int _draw_x_ticks()
# draw the x-ticks and their labels
# @return status
sub _draw_x_ticks
{
    my $self      = shift;
    my $data      = $self->{'dataref'};
    my $font      = $self->{'tick_label_font'};
    my $textcolor = $self->_color_role_to_index('text');
    my $misccolor = $self->_color_role_to_index('misc');
    my $label;
    my ( $h,     $w );
    my ( $x1,    $x2, $y1, $y2 );
    my ( $width, $delta );
    my ($stag);

    $self->{'grid_data'}->{'x'} = [];

    # make sure we got a real font
    unless ( ( ref $font ) eq 'GD::Font' )
    {
        croak "The tick label font you specified isn\'t a GD Font object";
    }

    # get the height and width of the font
    ( $h, $w ) = ( $font->height, $font->width );

    # maybe, we need the actual x and y values later for drawing the x-ticks again
    # in the draw function in the lines modul. So copy them.
    $self->{'temp_x_min'} = $self->{'curr_x_min'};
    $self->{'temp_x_max'} = $self->{'curr_x_max'};
    $self->{'temp_y_min'} = $self->{'curr_y_min'};
    $self->{'temp_y_max'} = $self->{'curr_y_max'};

    # allow for the amount of space the y-ticks will push the
    # axes over to the right
    ## _draw_y_ticks allows 3 * text_space, not 1 * ;  this caused mismatch between
    ## the ticks (and grid lines) and the data.
    #   $x1 = $self->{'curr_x_min'} + ($w * $self->{'y_tick_label_length'})
    #          + $self->{'text_space'} + $self->{'tick_len'};
    ## And, what about the right-tick space??  Only affects Composite, I guess....

    #The one and only way to get the RIGHT x value and the width
    if ( $self->{'y_axes'} =~ /^right$/i )
    {
        $x1 = $self->{'curr_x_min'};
        $width =
          $self->{'curr_x_max'} -
          $x1 -
          ( $w * $self->{'y_tick_label_length'} ) -
          3 * $self->{'text_space'} -
          $self->{'tick_len'};
    }
    elsif ( $self->{'y_axes'} =~ /^both$/i )
    {
        $x1 = $self->{'curr_x_min'} + ( $w * $self->{'y_tick_label_length'} ) + 3 * $self->{'text_space'} + $self->{'tick_len'};
        $width =
          $self->{'curr_x_max'} -
          $x1 -
          ( $w * $self->{'y_tick_label_length'} ) -
          3 * $self->{'text_space'} -
          $self->{'tick_len'};
    }
    else
    {
        $x1 = $self->{'curr_x_min'} + ( $w * $self->{'y_tick_label_length'} ) + 3 * $self->{'text_space'} + $self->{'tick_len'};
        $width = $self->{'curr_x_max'} - $x1;
    }

    #the same for the y value, but not so tricky
    $y1 = $self->{'curr_y_max'} - $h - $self->{'text_space'};

    # get the delta value, figure out how to draw the labels
    $delta = $width / ( $self->{'num_datapoints'} > 0 ? $self->{'num_datapoints'} : 1 );
    if ( !defined( $self->{'skip_x_ticks'} ) )
    {
        $self->{'skip_x_ticks'} = 1;
    }
    elsif ( $self->{'skip_x_ticks'} == 0 )
    {
        $self->{'skip_x_ticks'} = 1;
    }
    if ( $delta <= ( $self->{'x_tick_label_length'} * $w ) / $self->{'skip_x_ticks'} )
    {
        if ( $self->{'x_ticks'} =~ /^normal$/i )
        {
            $self->{'x_ticks'} = 'staggered';
        }
    }

    # now draw the labels
    if ( $self->{'x_ticks'} =~ /^normal$/i )
    {    # normal ticks
        if ( $self->{'skip_x_ticks'} > 1 )
        {    # draw only every nth tick and label
            for ( 0 .. int( ( $self->{'num_datapoints'} - 1 ) / $self->{'skip_x_ticks'} ) )
            {
                if ( defined( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ) )
                {
                    $label = $self->{f_x_tick}->( $data->[0][ $_ * $self->{'skip_x_ticks'} ] );
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * ( $_ * $self->{'skip_x_ticks'} ) ) - ( $w * length($label) ) / 2;
                    $self->{'gd_obj'}->string( $font, $x2, $y1, $label, $textcolor );
                }
            }
        }
        elsif ( $self->{'custom_x_ticks'} )
        {    # draw only the ticks they wanted
            for ( @{ $self->{'custom_x_ticks'} } )
            {
                if ( defined($_) )
                {
                    $label = $self->{f_x_tick}->( $data->[0][$_] );
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - ( $w * length($label) ) / 2;
                    $self->{'gd_obj'}->string( $font, $x2, $y1, $label, $textcolor );
                }
            }
        }
        else
        {
            for ( 0 .. $self->{'num_datapoints'} - 1 )
            {
                if ( defined($_) )
                {
                    $label = $self->{f_x_tick}->( $data->[0][$_] );
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - ( $w * length($label) ) / 2;
                    $self->{'gd_obj'}->string( $font, $x2, $y1, $label, $textcolor );
                }
            }
        }
    }

    elsif ( $self->{'x_ticks'} =~ /^staggered$/i )
    {    # staggered ticks
        if ( $self->{'skip_x_ticks'} > 1 )
        {
            $stag = 0;
            for ( 0 .. int( ( $self->{'num_datapoints'} - 1 ) / $self->{'skip_x_ticks'} ) )
            {
                if ( defined( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ) )
                {
                    $x2 =
                      $x1 +
                      ( $delta / 2 ) +
                      ( $delta * ( $_ * $self->{'skip_x_ticks'} ) ) -
                      ( $w * length( $self->{f_x_tick}->( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ) ) ) / 2;
                    if ( ( $stag % 2 ) == 1 )
                    {
                        $y1 -= $self->{'text_space'} + $h;
                    }
                    $self->{'gd_obj'}
                      ->string( $font, $x2, $y1, $self->{f_x_tick}->( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ),
                        $textcolor );
                    if ( ( $stag % 2 ) == 1 )
                    {
                        $y1 += $self->{'text_space'} + $h;
                    }
                    $stag++;
                }
            }
        }
        elsif ( $self->{'custom_x_ticks'} )
        {
            $stag = 0;
            for ( sort ( @{ $self->{'custom_x_ticks'} } ) )
            {    # sort to make it look good
                if ( defined($_) )
                {
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - ( $w * length( $self->{f_x_tick}->( $data->[0][$_] ) ) ) / 2;
                    if ( ( $stag % 2 ) == 1 )
                    {
                        $y1 -= $self->{'text_space'} + $h;
                    }
                    $self->{'gd_obj'}->string( $font, $x2, $y1, $self->{f_x_tick}->( $data->[0][$_] ), $textcolor );
                    if ( ( $stag % 2 ) == 1 )
                    {
                        $y1 += $self->{'text_space'} + $h;
                    }
                    $stag++;
                }
            }
        }
        else
        {
            for ( 0 .. $self->{'num_datapoints'} - 1 )
            {
                if ( defined( $self->{f_x_tick}->( $data->[0][$_] ) ) )
                {
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - ( $w * length( $self->{f_x_tick}->( $data->[0][$_] ) ) ) / 2;
                    if ( ( $_ % 2 ) == 1 )
                    {
                        $y1 -= $self->{'text_space'} + $h;
                    }
                    $self->{'gd_obj'}->string( $font, $x2, $y1, $self->{f_x_tick}->( $data->[0][$_] ), $textcolor );
                    if ( ( $_ % 2 ) == 1 )
                    {
                        $y1 += $self->{'text_space'} + $h;
                    }
                }
            }
        }
    }
    elsif ( $self->{'x_ticks'} =~ /^vertical$/i )
    {    # vertical ticks
        $y1 = $self->{'curr_y_max'} - $self->{'text_space'};
        if ( $self->{'skip_x_ticks'} > 1 )
        {
            for ( 0 .. int( ( $self->{'num_datapoints'} - 1 ) / $self->{'skip_x_ticks'} ) )
            {
                if ( defined($_) )
                {
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * ( $_ * $self->{'skip_x_ticks'} ) ) - $h / 2;
                    $y2 = $y1 - (
                        (
                            $self->{'x_tick_label_length'} -
                              length( $self->{f_x_tick}->( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ) )
                        ) * $w
                    );
                    $self->{'gd_obj'}
                      ->stringUp( $font, $x2, $y2, $self->{f_x_tick}->( $data->[0][ $_ * $self->{'skip_x_ticks'} ] ),
                        $textcolor );
                }
            }
        }
        elsif ( $self->{'custom_x_ticks'} )
        {
            for ( @{ $self->{'custom_x_ticks'} } )
            {
                if ( defined($_) )
                {
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - $h / 2;
                    $y2 = $y1 - ( ( $self->{'x_tick_label_length'} - length( $self->{f_x_tick}->( $data->[0][$_] ) ) ) * $w );
                    $self->{'gd_obj'}->stringUp( $font, $x2, $y2, $self->{f_x_tick}->( $data->[0][$_] ), $textcolor );
                }
            }
        }
        else
        {
            for ( 0 .. $self->{'num_datapoints'} - 1 )
            {
                if ( defined($_) )
                {
                    $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ ) - $h / 2;
                    $y2 = $y1 - ( ( $self->{'x_tick_label_length'} - length( $self->{f_x_tick}->( $data->[0][$_] ) ) ) * $w );
                    $self->{'gd_obj'}->stringUp( $font, $x2, $y2, $self->{f_x_tick}->( $data->[0][$_] ), $textcolor );
                }
            }
        }
    }
    else
    {    # error time
        carp "I don't understand the type of x-ticks you specified";
    }

    # update the current y-max value
    if ( $self->{'x_ticks'} =~ /^normal$/i )
    {
        $self->{'curr_y_max'} -= $h + ( 2 * $self->{'text_space'} );
    }
    elsif ( $self->{'x_ticks'} =~ /^staggered$/i )
    {
        $self->{'curr_y_max'} -= ( 2 * $h ) + ( 3 * $self->{'text_space'} );
    }
    elsif ( $self->{'x_ticks'} =~ /^vertical$/i )
    {
        $self->{'curr_y_max'} -= ( $w * $self->{'x_tick_label_length'} ) + ( 2 * $self->{'text_space'} );
    }

    # now plot the ticks
    $y1 = $self->{'curr_y_max'};
    $y2 = $self->{'curr_y_max'} - $self->{'tick_len'};
    if ( $self->{'skip_x_ticks'} > 1 )
    {
        for ( 0 .. int( ( $self->{'num_datapoints'} - 1 ) / $self->{'skip_x_ticks'} ) )
        {
            $x2 = $x1 + ( $delta / 2 ) + ( $delta * ( $_ * $self->{'skip_x_ticks'} ) );
            $self->{'gd_obj'}->line( $x2, $y1, $x2, $y2, $misccolor );
            if (   $self->true( $self->{'grid_lines'} )
                or $self->true( $self->{'x_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'x'}->[$_] = $x2;
            }
        }
    }
    elsif ( $self->{'custom_x_ticks'} )
    {
        for ( @{ $self->{'custom_x_ticks'} } )
        {
            $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ );
            $self->{'gd_obj'}->line( $x2, $y1, $x2, $y2, $misccolor );
            if (   $self->true( {'grid_lines'} )
                or $self->true( $self->{'x_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'x'}->[$_] = $x2;
            }
        }
    }
    else
    {
        for ( 0 .. $self->{'num_datapoints'} - 1 )
        {
            $x2 = $x1 + ( $delta / 2 ) + ( $delta * $_ );
            $self->{'gd_obj'}->line( $x2, $y1, $x2, $y2, $misccolor );
            if (   $self->true( $self->{'grid_lines'} )
                or $self->true( $self->{'x_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'x'}->[$_] = $x2;
            }
        }
    }

    # update the current y-max value
    $self->{'curr_y_max'} -= $self->{'tick_len'};
}

## @fn private int _draw_y_ticks()
#  draw the y-ticks and their labels
# @return status
sub _draw_y_ticks
{
    my $self      = shift;
    my $side      = shift || 'left';
    my $data      = $self->{'dataref'};
    my $font      = $self->{'tick_label_font'};
    my $textcolor = $self->_color_role_to_index('text');
    my $misccolor = $self->_color_role_to_index('misc');
    my @labels    = @{ $self->{'y_tick_labels'} };
    my ( $w, $h );
    my ( $x1, $x2, $y1, $y2 );
    my ( $height, $delta, $label );
    my ( $s, $f );

    $self->{grid_data}->{'y'}  = [];
    $self->{grid_data}->{'y2'} = [];

    # make sure we got a real font
    unless ( ( ref $font ) eq 'GD::Font' )
    {
        croak "The tick label font you specified isn\'t a GD Font object";
    }

    # find out how big the font is
    ( $w, $h ) = ( $font->width, $font->height );

    # figure out which ticks not to draw
    if ( $self->{'min_val'} >= 0 )
    {
        $s = 1;
        $f = $#labels;
    }
    elsif ( $self->{'max_val'} <= 0 )
    {
        $s = 0;
        $f = $#labels;    # -1 entfernt
    }
    else
    {
        $s = 0;
        $f = $#labels;
    }

    # now draw them
    if ( $side eq 'right' )
    {                     # put 'em on the right side of the chart
                          # get the base x-y values, and the delta value
        $x1 =
          $self->{'curr_x_max'} - $self->{'tick_len'} - ( 3 * $self->{'text_space'} ) - ( $w * $self->{'y_tick_label_length'} );
        $y1     = $self->{'curr_y_max'};
        $height = $self->{'curr_y_max'} - $self->{'curr_y_min'};
        $self->{'y_ticks'} = 2 if $self->{'y_ticks'} < 2;
        $delta = $height / ( $self->{'y_ticks'} - 1 );

        # update the curr_x_max value
        $self->{'curr_x_max'} = $x1;

        # now draw the ticks
        $x2 = $x1 + $self->{'tick_len'};
        for ( $s .. $f )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->line( $x1, $y2, $x2, $y2, $misccolor );
            if (   $self->true( $self->{'grid_lines'} )
                or $self->true( $self->{'y2_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'y2'}->[$_] = $y2;
            }
        }

        # update the current x-min value
        $x1 += $self->{'tick_len'} + ( 2 * $self->{'text_space'} );
        $y1 -= $h / 2;

        # now draw the labels
        for ( 0 .. $#labels )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->string( $font, $x1, $y2, $self->{'y_tick_labels'}[$_], $textcolor );
        }
    }
    elsif ( $side eq 'both' )
    {    # put the ticks on the both sides
        ## left side first

        # get the base x-y values
        $x1 = $self->{'curr_x_min'} + $self->{'text_space'};
        $y1 = $self->{'curr_y_max'} - $h / 2;

        # now draw the labels
        $height = $self->{'curr_y_max'} - $self->{'curr_y_min'};
        $delta = $height / ( $self->{'y_ticks'} - 1 );
        for ( 0 .. $#labels )
        {
            $label = $self->{'y_tick_labels'}[$_];
            $y2    = $y1 - ( $delta * $_ );
            $x2    = $x1 + ( $w * $self->{'y_tick_label_length'} ) - ( $w * length($label) );
            $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );
        }

        # and update the current x-min value
        $self->{'curr_x_min'} += ( 3 * $self->{'text_space'} ) + ( $w * $self->{'y_tick_label_length'} );

        # now draw the ticks (skipping the one at zero);
        $x1 = $self->{'curr_x_min'};
        $x2 = $self->{'curr_x_min'} + $self->{'tick_len'};
        $y1 += $h / 2;
        for ( $s .. $f )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->line( $x1, $y2, $x2, $y2, $misccolor );
            if (   $self->true( $self->{grid_lines} )
                or $self->true( $self->{'y_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'y'}->[$_] = $y2;
            }
        }

        # update the current x-min value
        $self->{'curr_x_min'} += $self->{'tick_len'};

        ## now the right side
        # get the base x-y values, and the delta value
        $x1 =
          $self->{'curr_x_max'} - $self->{'tick_len'} - ( 3 * $self->{'text_space'} ) - ( $w * $self->{'y_tick_label_length'} );
        $y1     = $self->{'curr_y_max'};
        $height = $self->{'curr_y_max'} - $self->{'curr_y_min'};
        $delta  = $height / ( $self->{'y_ticks'} - 1 );

        # update the curr_x_max value
        $self->{'curr_x_max'} = $x1;

        # now draw the ticks (skipping the one at zero);
        $x2 = $x1 + $self->{'tick_len'};

        for ( $s .. $f )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->line( $x1, $y2, $x2, $y2, $misccolor );    # draw tick_line
            if (   $self->true( $self->{grid_lines} )
                or $self->true( $self->{'y2_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'y2'}->[$_] = $y2;
            }
        }

        # update the current x-min value
        $x1 += $self->{'tick_len'} + ( 2 * $self->{'text_space'} );
        $y1 -= $h / 2;

        # now draw the labels
        for ( 0 .. $#labels )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->string( $font, $x1, $y2, $self->{'y_tick_labels'}[$_], $textcolor );
        }
    }
    else
    {    # just the left side
            # get the base x-y values
        $x1 = $self->{'curr_x_min'} + $self->{'text_space'};
        $y1 = $self->{'curr_y_max'} - $h / 2;

        # now draw the labels
        $height = $self->{'curr_y_max'} - $self->{'curr_y_min'};
        $self->{'y_ticks'} = 2 if $self->{'y_ticks'} < 2;
        $delta = $height / ( $self->{'y_ticks'} - 1 );
        for ( 0 .. $#labels )
        {
            $label = $self->{'y_tick_labels'}[$_];
            $y2    = $y1 - ( $delta * $_ );
            $x2    = $x1 + ( $w * $self->{'y_tick_label_length'} ) - ( $w * length($label) );
            $self->{'gd_obj'}->string( $font, $x2, $y2, $label, $textcolor );
        }

        # and update the current x-min value
        $self->{'curr_x_min'} += ( 3 * $self->{'text_space'} ) + ( $w * $self->{'y_tick_label_length'} );

        # now draw the ticks
        $x1 = $self->{'curr_x_min'};
        $x2 = $self->{'curr_x_min'} + $self->{'tick_len'};
        $y1 += $h / 2;
        for ( $s .. $f )
        {
            $y2 = $y1 - ( $delta * $_ );
            $self->{'gd_obj'}->line( $x1, $y2, $x2, $y2, $misccolor );
            if (   $self->true( $self->{'grid_lines'} )
                or $self->true( $self->{'y_grid_lines'} ) )
            {
                $self->{'grid_data'}->{'y'}->[$_] = $y2;
            }
        }

        # update the current x-min value
        $self->{'curr_x_min'} += $self->{'tick_len'};
    }

    # and return
    return 1;
}

## @fn private int _grey_background()
#  put a grey background on the plot of the data itself
# @return status
sub _grey_background
{
    my $self = shift;

    # draw it
    $self->{'gd_obj'}
      ->filledRectangle( $self->{'curr_x_min'}, $self->{'curr_y_min'}, $self->{'curr_x_max'}, $self->{'curr_y_max'},
        $self->_color_role_to_index('grey_background') );

    # now return
    return 1;
}

## @fn private int _draw_grid_lines()
# draw grid_lines
# @return status
sub _draw_grid_lines
{
    my $self = shift;
    $self->_draw_x_grid_lines();
    $self->_draw_y_grid_lines();
    $self->_draw_y2_grid_lines();
    return 1;
}

## @fn private int _draw_x_grid_lines()
# draw grid_lines for x
# @return status
sub _draw_x_grid_lines
{
    my $self      = shift;
    my $grid_role = shift || 'x_grid_lines';
    my $gridcolor = $self->_color_role_to_index($grid_role);
    my ( $x, $y, $i );

    foreach $x ( @{ $self->{grid_data}->{'x'} } )
    {
        if ( defined $x )
        {
            $self->{gd_obj}->line( ( $x, $self->{'curr_y_min'} + 1 ), $x, ( $self->{'curr_y_max'} - 1 ), $gridcolor );
        }
    }
    return 1;
}

## @fn private int _draw_y_grid_lines()
# draw grid_lines for y
# @return status
sub _draw_y_grid_lines
{
    my $self      = shift;
    my $grid_role = shift || 'y_grid_lines';
    my $gridcolor = $self->_color_role_to_index($grid_role);
    my ( $x, $y, $i );

    #Look if I'm an HorizontalBars object
    if ( $self->isa('Chart::HorizontalBars') )
    {
        for ( $i = 0 ; $i < ( $#{ $self->{grid_data}->{'y'} } ) + 1 ; $i++ )
        {
            $y = $self->{grid_data}->{'y'}->[$i];
            $self->{gd_obj}->line( ( $self->{'curr_x_min'} + 1 ), $y, ( $self->{'curr_x_max'} - 1 ), $y, $gridcolor );
        }
    }
    else
    {

        # loop for y values is a little different. This is to discard the first
        # and last values we were given - the top/bottom of the chart area.
        for ( $i = 1 ; $i < ( $#{ $self->{grid_data}->{'y'} } ) + 1 ; $i++ )
        {    ###
            $y = $self->{grid_data}->{'y'}->[$i];
            $self->{gd_obj}->line( ( $self->{'curr_x_min'} + 1 ), $y, ( $self->{'curr_x_max'} - 1 ), $y, $gridcolor );
        }
    }
    return 1;
}

## @fn private int _draw_y2_grid_lines()
# draw grid_lines for y
# @return status
sub _draw_y2_grid_lines
{
    my $self      = shift;
    my $grid_role = shift || 'y2_grid_lines';
    my $gridcolor = $self->_color_role_to_index($grid_role);
    my ( $x, $y, $i );

    #Look if I'm an HorizontalBars object
    if ( $self->isa('Chart::HorizontalBars') )
    {
        for ( $i = 0 ; $i < ( $#{ $self->{grid_data}->{'y'} } ) + 1 ; $i++ )
        {
            $y = $self->{grid_data}->{'y'}->[$i];
            $self->{gd_obj}->line( ( $self->{'curr_x_min'} + 1 ), $y, ( $self->{'curr_x_max'} - 1 ), $y, $gridcolor );
        }
    }
    else
    {

        # loop for y2 values is a little different. This is to discard the first
        # and last values we were given - the top/bottom of the chart area.
        for ( $i = 1 ; $i < $#{ $self->{grid_data}->{'y2'} } ; $i++ )
        {
            $y = $self->{grid_data}->{'y2'}->[$i];
            $self->{gd_obj}->line( ( $self->{'curr_x_min'} + 1 ), $y, ( $self->{'curr_x_max'} - 1 ), $y, $gridcolor );
        }
    }
    return 1;
}

## @fn private int _prepare_brush($color,$type,$role)
# prepare brush
#
# @details
#  set the gdBrush object to tick GD into drawing fat lines & points
#  of interesting shapes
#  Needed by "Lines", "Points" and "LinesPoints"
#  All hacked up by Richard Dice <rdice@pobox.com> Sunday 16 May 1999
#
# @param $color
# @param $type    'line','point'
# @param $role
#
# @return status
sub _prepare_brush
{
    my $self  = shift;
    my $color = shift;
    my $type  = shift;
    my $role  = shift || 'default';

    my $brushStyle = $self->{'brushStyle'};
    if ( defined $role )
    {
        my (@brushStyles) = $self->_brushStyles_of_roles($role);
        $brushStyle = $brushStyles[0];
    }

    #print STDERR "role=$role\n";

    # decide what $type should be in the event that a param isn't
    # passed -- this is necessary to preserve backward compatibility
    # with apps that use this module prior to putting _prepare_brush
    # in with Base.pm
    if ( !defined($type) ) { $type = 'point'; }

    if (   ( !length($type) )
        || ( !grep { $type eq $_ } ( 'line', 'point' ) ) )
    {
        $brushStyle = $self->{'brushStyle'};
        $type       = 'line' if ref $self eq 'Chart::Lines';
        $type       = 'point' if ref $self eq 'Chart::Points';
    }

    my ( $radius, @rgb, $brush, $white, $newcolor );

    # get the rgb values for the desired color
    @rgb = $self->{'gd_obj'}->rgb($color);

    # get the appropriate brush size
    if ( $type eq 'line' )
    {
        $radius = $self->{'brush_size'} / 2;
    }
    elsif ( $type eq 'point' )
    {
        $radius = $self->{'pt_size'} / 2;
    }

    # create the new image
    $brush = GD::Image->new( $radius * 2, $radius * 2 );

    # get the colors, make the background transparent
    $white = $brush->colorAllocate( 255, 255, 255 );
    $newcolor = $brush->colorAllocate(@rgb);
    $brush->transparent($white);

    # draw the circle
    if ( $type eq 'line' )
    {
        $brush->arc( $radius - 1, $radius - 1, $radius, $radius, 0, 360, $newcolor );
        $brush->fill( $radius - 1, $radius - 1, $newcolor );

        # RLD
        #
        # Does $brush->fill really have to be here?  Dunno... this
        # seems to be a relic from earlier code
        #
        # Note that 'line's don't benefit from a $brushStyle... yet.
        # It shouldn't be too tough to hack this in by taking advantage
        # of GD's gdStyled facility

    }

    if ( $type eq 'point' )
    {
        $brushStyle = $self->{'brushStyle'}
          unless grep { $brushStyle eq $_ } (
            'FilledCircle',  'circle',             'donut',  'OpenCircle',
            'triangle',      'upsidedownTriangle', 'square', 'hollowSquare',
            'OpenRectangle', 'fatPlus',            'Star',   'OpenStar',
            'FilledDiamond', 'OpenDiamond'
          );

        my ( $xc, $yc ) = ( $radius, $radius );

        if ( grep { $brushStyle eq $_ } ( 'default', 'circle', 'donut', 'OpenCircle', 'FilledCircle' ) )
        {
            $brush->arc( $xc, $yc, $radius, $radius, 0, 360, $newcolor );
            $brush->fill( $xc, $yc, $newcolor );

            # draw a white (and therefore transparent) circle in the middle
            # of the existing circle to make the "donut", if appropriate

            if ( $brushStyle eq 'donut' || $brushStyle eq 'OpenCircle' )
            {
                $brush->arc( $xc, $yc, int( $radius / 2 ), int( $radius / 2 ), 0, 360, $white );
                $brush->fill( $xc, $yc, $white );
            }
        }

        if ( grep { $brushStyle eq $_ } ( 'triangle', 'upsidedownTriangle' ) )
        {
            my $poly = new GD::Polygon;
            my $sign = ( $brushStyle eq 'triangle' ) ? 1 : (-1);
            my $z    = int( 0.8 * $radius );                       # scaling factor

            # co-ords are chosen to make an equilateral triangle

            $poly->addPt( $xc, $yc - ( $z * $sign ) );
            $poly->addPt( $xc + int( ( sqrt(3) * $z ) / 2 ), $yc + ( int( $z / 2 ) * $sign ) );
            $poly->addPt( $xc - int( ( sqrt(3) * $z ) / 2 ), $yc + ( int( $z / 2 ) * $sign ) );

            $brush->filledPolygon( $poly, $newcolor );
        }

        if ( $brushStyle eq 'fatPlus' )
        {
            my $poly = new GD::Polygon;

            my $z = int( 0.3 * $radius );

            $poly->addPt( $xc + $z,     $yc + $z );
            $poly->addPt( $xc + 2 * $z, $yc + $z );
            $poly->addPt( $xc + 2 * $z, $yc - $z );

            $poly->addPt( $xc + $z, $yc - $z );
            $poly->addPt( $xc + $z, $yc - 2 * $z );
            $poly->addPt( $xc - $z, $yc - 2 * $z );

            $poly->addPt( $xc - $z,     $yc - $z );
            $poly->addPt( $xc - 2 * $z, $yc - $z );
            $poly->addPt( $xc - 2 * $z, $yc + $z );

            $poly->addPt( $xc - $z, $yc + $z );
            $poly->addPt( $xc - $z, $yc + 2 * $z );
            $poly->addPt( $xc + $z, $yc + 2 * $z );
            $brush->filledPolygon( $poly, $newcolor );
        }

        if ( $brushStyle eq 'Star' || $brushStyle eq 'OpenStar' )
        {
            my $poly = new GD::Polygon;

            my $z  = int($radius);
            my $sz = int( $z / 3 * 1.75 );    # small z

            my $x1 = int( $xc + $z );
            my $y1 = int($yc);
            my ( $x2, $y2 );

            my $xyRatio = $self->_xyRatio();

            $poly->addPt( $x1, $y1 );

            $x2 = $xc + int( $sz * 0.5 );
            $y2 = $yc - int( $sz * 0.5 );
            $poly->addPt( $x2, $y2 );

            $x2 = $xc;
            $y2 = $yc - $z;
            $poly->addPt( $x2, $y2 );

            $x2 = $xc - int( $sz * 0.5 );
            $y2 = $yc - int( $sz * 0.5 );
            $poly->addPt( $x2, $y2 );

            $x2 = $xc - $z;
            $y2 = $yc;
            $poly->addPt( $x2, $y2 );

            $x2 = $xc - int( $sz * 0.5 );
            $y2 = $yc + int( $sz * 0.5 );
            $poly->addPt( $x2, $y2 );

            $x2 = $xc;
            $y2 = $yc + $z;
            $poly->addPt( $x2, $y2 );

            $x2 = $xc + int( $sz * 0.5 );
            $y2 = $yc + int( $sz * 0.5 );
            $poly->addPt( $x2, $y2 );
            if ( $brushStyle eq 'OpenStar' )
            {
                $brush->polygon( $poly, $newcolor );
            }
            else
            {
                $brush->filledPolygon( $poly, $newcolor );
            }
        }

        if ( grep { $brushStyle eq $_ } ( 'square', 'hollowSquare', 'OpenRectangle' ) )
        {
            my $z = int( 0.5 * $radius );

            $brush->filledRectangle( $xc - $z, $yc - $z, $xc + $z, $yc + $z, $newcolor );

            if ( $brushStyle eq 'hollowSquare' || $brushStyle eq 'OpenRectangle' )
            {
                $z = int( $z / 2 );

                $brush->filledRectangle( $xc - $z, $yc - $z, $xc + $z, $yc + $z, $white );
            }
        }

        if ( grep { $brushStyle eq $_ } ( 'FilledDiamond', 'OpenDiamond' ) )
        {
            my $z = int( 0.75 * $radius );

            $brush->line( $xc + $z, $yc,      $xc,      $yc + $z, $newcolor );
            $brush->line( $xc,      $yc + $z, $xc - $z, $yc,      $newcolor );
            $brush->line( $xc - $z, $yc,      $xc,      $yc - $z, $newcolor );
            $brush->line( $xc,      $yc - $z, $xc + $z, $yc,      $newcolor );

            if ( $brushStyle eq 'FilledDiamond' )
            {

                # and fill it
                $brush->fill( $radius - 1, $radius - 1, $newcolor );
            }
        }

    }

    # set the new image as the main object's brush
    return $brush;
}

## @fn private int _default_f_tick
# default tick conversion function
# This function is pointed to be $self->{f_x_tick} resp. $self->{f_y_tick}
# if the user does not provide another function
#
# @return status
sub _default_f_tick
{
    my $label = shift;

    return $label;
}

## @fn private float _xyRatio
# Get ratio width_x/width_y
#
# @return ratio width_x and width_y
sub _xyRatio
{
    my $self = shift;

    my $width_x = $self->{'curr_x_max'} - $self->{'curr_x_min'} + 1;
    my $width_y = $self->{'curr_y_max'} - $self->{'curr_y_min'} + 1;

    my $ratio = $width_x / $width_y;

    return $ratio;
}

## @fn private float _xPixelInReal
# Get witdh of one Pixel in real coordinates in x-direction
#
#
# @return width(interval) of reality in x direction
#
sub _xPixelInReal
{
    my $self = shift;

    my $width_x = $self->{'curr_x_max'} - $self->{'curr_x_min'} + 1;
    my ( $min, $max ) = $self->_find_x_range();
    my $xRealWidth = $max - $min;
    my $ratio      = $xRealWidth / $width_x;

    return $ratio;
}

## @fn private float _yPixelInReal
# Get witdh of one Pixel in real coordinates in y-direction
#
#
# @return width(interval) of reality in y direction
#
sub _yPixelInReal
{
    my $self = shift;

    my $width_y = $self->{'curr_y_max'} - $self->{'curr_y_min'} + 1;
    my ( $min, $max, $flag_all_integers ) = $self->_find_y_range();
    my $yRealWidth = $max - $min;
    my $ratio      = $yRealWidth / $width_y;

    return $ratio;
}

## be a good module and return positive
1;