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diff --git a/src/boost/libs/math/example/sines.hpp b/src/boost/libs/math/example/sines.hpp
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+// Use, modification and distribution are subject to the
+// Boost Software License, Version 1.0.
+// (See accompanying file LICENSE_1_0.txt
+// or copy at http://www.boost.org/LICENSE_1_0.txt)
+
+// Copyright A N Other, 2019.
+
+// Table of 32 values with 50 decimal digits precision,
+// generated by program fft_sines_table.cpp.
+
+#include <array> // std::array
+
+static const std::array<double, 32> sines =
+{{
+ 1,
+ 0.70710678118654752440084436210484903928483593768847,
+ 0.38268343236508977172845998403039886676134456248563,
+ 0.19509032201612826784828486847702224092769161775195,
+ 0.098017140329560601994195563888641845861136673167501,
+ 0.049067674327418014254954976942682658314745363025753,
+ 0.024541228522912288031734529459282925065466119239452,
+ 0.012271538285719926079408261951003212140372319591769,
+ 0.0061358846491544753596402345903725809170578863173913,
+ 0.003067956762965976270145365490919842518944610213452,
+ 0.0015339801862847656123036971502640790799548645752374,
+ 0.00076699031874270452693856835794857664314091945206328,
+ 0.00038349518757139558907246168118138126339502603496474,
+ 0.00019174759731070330743990956198900093346887403385916,
+ 9.5873799095977345870517210976476351187065612851145e-05,
+ 4.7936899603066884549003990494658872746866687685767e-05,
+ 2.3968449808418218729186577165021820094761474895673e-05,
+ 1.1984224905069706421521561596988984804731977538387e-05,
+ 5.9921124526424278428797118088908617299871778780951e-06,
+ 2.9960562263346607504548128083570598118251878683408e-06,
+ 1.4980281131690112288542788461553611206917585861527e-06,
+ 7.4901405658471572113049856673065563715595930217207e-07,
+ 3.7450702829238412390316917908463317739740476297248e-07,
+ 1.8725351414619534486882457659356361712045272098286e-07,
+ 9.3626757073098082799067286680885620193236507169473e-08,
+ 4.681337853654909269511551813854009695950362701667e-08,
+ 2.3406689268274552759505493419034844037886207223779e-08,
+ 1.1703344634137277181246213503238103798093456639976e-08,
+ 5.8516723170686386908097901008341396943900085051756e-09,
+ 2.9258361585343193579282304690689559020175857150074e-09,
+ 1.4629180792671596805295321618659637103742615227834e-09,
+ 7.3145903963357984046044319684941757518633453150407e-10
+}}; // array sines