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fvn_fnlib/si.f
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function si (x) c december 1980 edition, w. fullerton, bell labs. dimension sics(12) external csevl, inits, r1mach c c series for si on the interval 0.00000e+00 to 1.60000e+01 c with weighted error 1.22e-17 c log weighted error 16.91 c significant figures required 16.37 c decimal places required 17.45 c data si cs( 1) / -0.1315646598 184841929 e0/ data si cs( 2) / -0.2776578526 973601892 e0/ data si cs( 3) / 0.0354414054 866659180 e0/ data si cs( 4) / -0.0025631631 447933978 e0/ data si cs( 5) / 0.0001162365 390497009 e0/ data si cs( 6) / -0.0000035904 327241606 e0/ data si cs( 7) / 0.0000000802 342123706 e0/ data si cs( 8) / -0.0000000013 562997693 e0/ data si cs( 9) / 0.0000000000 179440722 e0/ data si cs( 10) / -0.0000000000 001908387 e0/ data si cs( 11) / 0.0000000000 000016670 e0/ data si cs( 12) / -0.0000000000 000000122 e0/ c data pi2 / 1.570796326 7948966e0 / data nsi, xsml /0, 0.0/ c if (nsi.ne.0) go to 10 nsi = inits (sics, 12, 0.1*r1mach(3)) |
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xsml = sqrt (r1mach(3)) |
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c 10 absx = abs(x) if (absx.gt.4.0) go to 20 si = x if (absx.lt.xsml) return c si = x*(0.75 + csevl ((x*x-8.0)*0.125, sics, nsi)) return c 20 call r9sifg (absx, f, g) cosx = cos (absx) call erroff si = pi2 - f*cosx - g*sin(x) if (x.lt.0.0) si = -si c return end |