Annual and transition report of foreign private issuers pursuant to Section 13 or 15(d)

Other Intangible Assets, Net (Tables)

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Other Intangible Assets, Net (Tables)
12 Months Ended
Dec. 31, 2018
Other Intangible Assets [Abstract]  
Schedule of Other Intangible Assets

Other intangible assets consisted of the following:

      December 31, 2018       December 31, 2017
Carrying Amount,             Net Carrying Amount,             Net
Net of Accumulated Book   Net of Accumulated Book
Impairment Amortization Value   Impairment Amortization Value
U.S. $ in thousands
Developed technology $      299,100 $      (236,375 ) $       62,725 $      304,601 $      (220,420 ) $      84,181
Patents 10,127 (5,752 ) 4,375 19,708 (14,279 ) 5,429
Trademarks and trade names 26,212 (19,067 ) 7,145 27,248 (18,245 ) 9,003
Customer relationships 102,984 (70,353 ) 32,631 106,203 (63,435 ) 42,768
Capitalized software development costs   19,540   (19,142 )   398   19,541   (18,800 )   741
$ 457,963 $ (350,689 ) $ 107,274 $ 477,301 $ (335,179 ) $ 142,122
Schedule of Estimated Future Amortization Expense Relating to Definite Life Intangible Assets

As of December 31, 2018, estimated future amortization expense relating to definite life intangible assets for each of the next five years and thereafter were as follows:

      Estimated amortization
expense
Year ending December 31, (U.S. $ in thousands)
2019 $     29,274
2020 28,934
2021 28,775
2022 7,791
2023 8,106
Thereafter   4,394
Total $ 107,274