init: v1.0.0

2026-05-27 23:03:00 +08:00
commit 8d97f750eb
466 changed files with 80067 additions and 0 deletions
@@ -0,0 +1,38 @@
+import math
+
+
+def loggam(x):
+        # double x0, x2, xp, gl, gl0;
+        # long k, n;
+
+        a = [8.333333333333333e-02, -2.777777777777778e-03,
+             7.936507936507937e-04, -5.952380952380952e-04,
+             8.417508417508418e-04, -1.917526917526918e-03,
+             6.410256410256410e-03, -2.955065359477124e-02,
+             1.796443723688307e-01, -1.39243221690590e+00]
+        x *= 1.0
+        x0 = x
+        n = 0
+        if x == 1.0 or x == 2.0:
+            return 0.0
+
+        elif x <= 7.0:
+            n = int(7 - x)
+            x0 = x + n
+        x2 = 1.0 / (x0*x0)
+        xp = 2 * math.pi
+        gl0 = a[9]
+        for k in range(8, -1, -1):
+            gl0 *= x2
+            gl0 += a[k]
+        gl = gl0/x0 + 0.5 * math.log(xp) + (x0-0.5) * math.log(x0) - x0
+        if x <= 7.0:
+            for k in range(1, n + 1):
+                gl -= math.log(x0-1.0)
+                x0 -= 1.0
+        return gl
+
+print(loggam(2))
+print(loggam(3))
+print(loggam(4))
+print(loggam(5))