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15. Intangible assets (Details 1) - BRL (R$) R$ in Thousands | 12 Months Ended
--- | ---
Dec. 31, 2018 | Dec. 31, 2017 | Dec. 31, 2016
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | R$ 33,466,132 | R$ 31,246,788 | R$ 28,513,626
Transfers to contract assets | [1] | (10,387,715) |  |
Additions |  | 1,144,728 | 3,490,298 | 3,855,831
Contract renewal |  | 0 | 0 | 0
Reversal of estimated losses |  |  | 13,380 | (10,198)
Transfers of works | [2] | 6,168,710 |  |
Transfers |  | (1,471) | (9,374) | 12,572
Write-offs and disposals |  | (24,866) | (24,412) | (14,808)
Amortization |  | (1,353,058) | (1,250,548) | (1,110,235)
Intangible assets, ending |  | 29,012,460 | 33,466,132 | 31,246,788
Agreements - equity value |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 7,141,614 | 7,482,955 | 7,287,630
Transfers to contract assets | [1] | (1,427,046) |  |
Additions |  | 93 | 374,775 | 391,545
Contract renewal |  | (1,935,780) | (531,818) | (9,587)
Reversal of estimated losses |  |  | 2,078 | (1,335)
Transfers of works | [2] | 499,002 |  |
Transfers |  | (5,268) | 1,663 | 1,014
Write-offs and disposals |  | (1,406) | (2,795) | (6,233)
Amortization |  | (197,865) | (185,244) | (180,079)
Intangible assets, ending |  | 4,073,344 | 7,141,614 | 7,482,955
Agreements - economic value |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 1,433,937 | 1,381,652 | 1,353,020
Transfers to contract assets | [1] | (233,361) |  |
Additions |  | 373 | 142,429 | 106,307
Contract renewal |  | 0 | 0 | 0
Reversal of estimated losses |  |  | 8 | (8)
Transfers of works | [2] | 114,442 |  |
Transfers |  | 88 | 2,604 | 6
Write-offs and disposals |  | (1,031) | (1,163) | (110)
Amortization |  | (82,439) | (91,593) | (77,563)
Intangible assets, ending |  | 1,232,009 | 1,433,937 | 1,381,652
Program contracts |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 7,595,066 | 6,576,021 | 6,288,575
Transfers to contract assets | [1] | (2,019,461) |  |
Additions |  | 928,818 | 772,278 | 553,126
Contract renewal |  | 1,935,780 | 531,818 | 9,587
Reversal of estimated losses |  |  | 4,834 | (4,360)
Transfers of works | [2] | 681,742 |  |
Transfers |  | 3,011 | (1,784) | 2,023
Write-offs and disposals |  | (7,616) | (6,606) | (5,571)
Amortization |  | (339,411) | (281,495) | (267,359)
Intangible assets, ending |  | 8,777,929 | 7,595,066 | 6,576,021
Program contracts - commitments |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 910,375 | 823,216 | 850,530
Transfers to contract assets | [1] | 0 |  |
Additions |  | 206,946 | 121,313 | 5,762
Contract renewal |  | 0 | 0 | 0
Reversal of estimated losses |  |  | 0 | 0
Transfers of works | [2] | 0 |  |
Transfers |  | 0 | 0 | 0
Write-offs and disposals |  | 0 | 0 | 0
Amortization |  | (37,770) | (34,154) | (33,076)
Intangible assets, ending |  | 1,079,551 | 910,375 | 823,216
Services contracts - Sao Paulo |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 15,917,015 | 14,552,707 | 12,367,017
Transfers to contract assets | [1] | (6,707,847) |  |
Additions |  | 3,724 | 1,976,079 | 2,697,724
Contract renewal |  | 0 | 0 | 0
Reversal of estimated losses |  |  | 6,460 | (4,495)
Transfers of works | [2] | 4,818,734 |  |
Transfers |  | 12 | (18,346) | 9,696
Write-offs and disposals |  | (14,813) | (13,848) | (2,894)
Amortization |  | (625,373) | (586,037) | (514,341)
Intangible assets, ending |  | 13,391,452 | 15,917,015 | 14,552,707
Software license |  |  |  |
SummaryOfIntangibleAssetsLineItems [Line Items] |  |  |  |
Intangible assets, beginning |  | 468,125 | 430,237 | 366,854
Transfers to contract assets | [1] | 0 |  |
Additions |  | 4,774 | 103,424 | 101,367
Contract renewal |  | 0 | 0 | 0
Reversal of estimated losses |  |  | 0 | 0
Transfers of works | [2] | 54,790 |  |
Transfers |  | 686 | 6,489 | (167)
Write-offs and disposals |  | 0 | 0 | 0
Amortization |  | (70,200) | (72,025) | (37,817)
Intangible assets, ending |  | R$ 458,175 | R$ 468,125 | R$ 430,237
[1] | Work in progress transferred to contract asset due to adoption of IFRS 15, as of January 1, 2018, as described in Note 4.1.
[2] | Work in progress transferred from contract asset to intangible asset.

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