bpo-36324: Improved code formatting for the NormalDist.inv_cdf rational approximation (GH-12448)

rhettinger · miss-islington · commit fe13883f01da · 2019-03-19T14:29:13.000-07:00
https://bugs.python.org/issue36324
diff --git a/Lib/statistics.py b/Lib/statistics.py
@@ -767,60 +767,62 @@ def inv_cdf(self, p):
         q = p - 0.5
         if fabs(q) <= 0.425:
             r = 0.180625 - q * q
-            num = (q * (((((((2.50908_09287_30122_6727e+3 * r +
-                              3.34305_75583_58812_8105e+4) * r +
-                              6.72657_70927_00870_0853e+4) * r +
-                              4.59219_53931_54987_1457e+4) * r +
-                              1.37316_93765_50946_1125e+4) * r +
-                              1.97159_09503_06551_4427e+3) * r +
-                              1.33141_66789_17843_7745e+2) * r +
-                              3.38713_28727_96366_6080e+0))
-            den = ((((((((5.22649_52788_52854_5610e+3 * r +
-                          2.87290_85735_72194_2674e+4) * r +
-                          3.93078_95800_09271_0610e+4) * r +
-                          2.12137_94301_58659_5867e+4) * r +
-                          5.39419_60214_24751_1077e+3) * r +
-                          6.87187_00749_20579_0830e+2) * r +
-                          4.23133_30701_60091_1252e+1) * r + 1.0))
+            num = (((((((2.50908_09287_30122_6727e+3 * r +
+                         3.34305_75583_58812_8105e+4) * r +
+                         6.72657_70927_00870_0853e+4) * r +
+                         4.59219_53931_54987_1457e+4) * r +
+                         1.37316_93765_50946_1125e+4) * r +
+                         1.97159_09503_06551_4427e+3) * r +
+                         1.33141_66789_17843_7745e+2) * r +
+                         3.38713_28727_96366_6080e+0) * q
+            den = (((((((5.22649_52788_52854_5610e+3 * r +
+                         2.87290_85735_72194_2674e+4) * r +
+                         3.93078_95800_09271_0610e+4) * r +
+                         2.12137_94301_58659_5867e+4) * r +
+                         5.39419_60214_24751_1077e+3) * r +
+                         6.87187_00749_20579_0830e+2) * r +
+                         4.23133_30701_60091_1252e+1) * r +
+                         1.0)
             x = num / den
             return self.mu + (x * self.sigma)
         r = p if q <= 0.0 else 1.0 - p
         r = sqrt(-log(r))
         if r <= 5.0:
             r = r - 1.6
-            num = ((((((((7.74545_01427_83414_07640e-4 * r +
-                          2.27238_44989_26918_45833e-2) * r +
-                          2.41780_72517_74506_11770e-1) * r +
-                          1.27045_82524_52368_38258e+0) * r +
-                          3.64784_83247_63204_60504e+0) * r +
-                          5.76949_72214_60691_40550e+0) * r +
-                          4.63033_78461_56545_29590e+0) * r +
-                          1.42343_71107_49683_57734e+0))
-
-            den = ((((((((1.05075_00716_44416_84324e-9 * r +
-                          5.47593_80849_95344_94600e-4) * r +
-                          1.51986_66563_61645_71966e-2) * r +
-                          1.48103_97642_74800_74590e-1) * r +
-                          6.89767_33498_51000_04550e-1) * r +
-                          1.67638_48301_83803_84940e+0) * r +
-                          2.05319_16266_37758_82187e+0) * r + 1.0))
+            num = (((((((7.74545_01427_83414_07640e-4 * r +
+                         2.27238_44989_26918_45833e-2) * r +
+                         2.41780_72517_74506_11770e-1) * r +
+                         1.27045_82524_52368_38258e+0) * r +
+                         3.64784_83247_63204_60504e+0) * r +
+                         5.76949_72214_60691_40550e+0) * r +
+                         4.63033_78461_56545_29590e+0) * r +
+                         1.42343_71107_49683_57734e+0)
+            den = (((((((1.05075_00716_44416_84324e-9 * r +
+                         5.47593_80849_95344_94600e-4) * r +
+                         1.51986_66563_61645_71966e-2) * r +
+                         1.48103_97642_74800_74590e-1) * r +
+                         6.89767_33498_51000_04550e-1) * r +
+                         1.67638_48301_83803_84940e+0) * r +
+                         2.05319_16266_37758_82187e+0) * r +
+                         1.0)
         else:
             r = r - 5.0
-            num = ((((((((2.01033_43992_92288_13265e-7 * r +
-                          2.71155_55687_43487_57815e-5) * r +
-                          1.24266_09473_88078_43860e-3) * r +
-                          2.65321_89526_57612_30930e-2) * r +
-                          2.96560_57182_85048_91230e-1) * r +
-                          1.78482_65399_17291_33580e+0) * r +
-                          5.46378_49111_64114_36990e+0) * r +
-                          6.65790_46435_01103_77720e+0))
-            den = ((((((((2.04426_31033_89939_78564e-15 * r +
-                          1.42151_17583_16445_88870e-7) * r +
-                          1.84631_83175_10054_68180e-5) * r +
-                          7.86869_13114_56132_59100e-4) * r +
-                          1.48753_61290_85061_48525e-2) * r +
-                          1.36929_88092_27358_05310e-1) * r +
-                          5.99832_20655_58879_37690e-1) * r + 1.0))
+            num = (((((((2.01033_43992_92288_13265e-7 * r +
+                         2.71155_55687_43487_57815e-5) * r +
+                         1.24266_09473_88078_43860e-3) * r +
+                         2.65321_89526_57612_30930e-2) * r +
+                         2.96560_57182_85048_91230e-1) * r +
+                         1.78482_65399_17291_33580e+0) * r +
+                         5.46378_49111_64114_36990e+0) * r +
+                         6.65790_46435_01103_77720e+0)
+            den = (((((((2.04426_31033_89939_78564e-15 * r +
+                         1.42151_17583_16445_88870e-7) * r +
+                         1.84631_83175_10054_68180e-5) * r +
+                         7.86869_13114_56132_59100e-4) * r +
+                         1.48753_61290_85061_48525e-2) * r +
+                         1.36929_88092_27358_05310e-1) * r +
+                         5.99832_20655_58879_37690e-1) * r +
+                         1.0)
         x = num / den
         if q < 0.0:
             x = -x
