reorganize muladd

Author: heltonmc

src/besseli.jl

@@ -150,7 +150,7 @@ function besseli0(z::ComplexF64)
         sinv =sqrt(zinv)/sqrt(2*pi)
         p = evalpoly(zinv*zinv, (1.0, 0.0703125, 0.112152099609375, 0.5725014209747314, 6.074042001273483, 110.01714026924674, 3038.090510922384, 118838.42625678325, 6.252951493434797e6, 4.259392165047669e8, 3.646840080706556e10, 3.8335346613939443e12, 4.8540146868529006e14, 7.286857349377656e16))
         p2 = evalpoly(zinv*zinv, (0.125, 0.0732421875, 0.22710800170898438, 1.7277275025844574, 24.380529699556064, 551.3358961220206, 18257.755474293175, 832859.3040162893, 5.0069589531988926e7, 3.8362551802304335e9, 3.6490108188498334e11, 4.218971570284097e13, 5.827244631566907e15, 9.47628809926011e17))
-        r = zinv * (e * sinv * muladd(p, z, p2) + im * muladd(p, z, -p2) * sinv / e)
+        r = e * sinv * muladd(p2, zinv, p) + im * muladd(p2, -zinv, p) * sinv / e
     elseif abs(z) < 5.2
         r = evalpoly(z*z, (1.0, 0.25, 0.015625, 0.00043402777777777775, 6.781684027777777e-6, 6.781684027777778e-8, 4.709502797067901e-10, 2.4028075495244395e-12, 9.385966990329842e-15, 2.896903392077112e-17, 7.242258480192779e-20, 1.4963343967340453e-22, 2.5978027721077174e-25, 3.842903509035085e-28, 4.9016626390753635e-31, 5.4462918211948485e-34, 5.318644356635594e-37))
     else
@@ -263,7 +263,7 @@ function besseli1(z::ComplexF64)
         sinv = sqrt(zinv) * SQ1O2PI(Float64)
         p = evalpoly(zinv*zinv, (1.0, -0.1171875, -0.144195556640625, -0.6765925884246826, -6.883914268109947, -121.59789187653587, -3302.2722944808525, -127641.2726461746, -6.656367718817688e6, -4.502786003050393e8, -3.8338575207427895e10, -4.0118385991331978e12, -5.060568503314726e14, -7.572616461117957e16, -1.3262572853205555e19))
         p2 = evalpoly(zinv*zinv, (0.375, 0.1025390625, 0.2775764465332031, 1.993531733751297, 27.248827311268542, 603.8440767050702, 19718.37591223663, 890297.8767070678, 5.310411010968523e7, 4.043620325107754e9, 3.827011346598606e11, 4.406481417852279e13, 6.065091351222699e15, 9.83388387659068e17))
-        r = zinv * (e * sinv * muladd(p, z, -p2) - im * muladd(p, z, p2) * sinv / e)
+        r = e * sinv * muladd(-p2, zinv, p) - im * muladd(p2, zinv, p) * sinv / e
     elseif abs(z) < 5.2
         r = z*evalpoly(z*z, (0.5, 0.0625, 0.0026041666666666665, 5.425347222222222e-5, 6.781684027777778e-7, 5.651403356481481e-9, 3.363930569334215e-11, 1.5017547184527747e-13, 5.214426105738801e-16, 1.4484516960385557e-18, 3.2919356728148996e-21, 6.234726653058522e-24, 9.991549123491221e-27, 1.3724655389411017e-29, 1.6338875463584545e-32, 1.7019661941233902e-35, 1.564307163716351e-38))
     else