18970: Log function and documentation revamp

Author: rwst

src/sage/combinat/finite_state_machine_generators.py

@@ -1297,7 +1297,10 @@ def to_list(output):
                              % (polynomial_left,))
 
         [r, base_power_K] = list(polynomial_left)
-        K = log(base_power_K, base=base)
+        try:
+            K = log(base_power_K, base=base)
+        except RuntimeError:
+            K = 1
         try:
             K = K.simplify()
         except AttributeError:

src/sage/dynamics/complex_dynamics/mandel_julia.py

@@ -43,7 +43,7 @@
                                       checkbox)
 from sage.plot.colors import Color
 from sage.repl.image import Image
-from sage.functions.log import function_log as log
+from sage.functions.log import (log, logb)
 from sage.rings.rational_field import QQ
 from sage.rings.all import CC
 from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
@@ -234,7 +234,7 @@ def external_ray(theta, **kwds):
     sharpness = kwds.get("S", 10)
     radial_parameter = kwds.get("R", 100)
     precision = kwds.get("prec", 300)
-    precision = max(precision, -log(pixel_width * 0.001, 2).round() + 10)
+    precision = max(precision, -logb(pixel_width * 0.001, 2).round() + 10)
     ray_color = kwds.get("ray_color", [255]*3)
     image = kwds.get("image", None)
     if image is None:

src/sage/ext/fast_callable.pyx

@@ -1655,8 +1655,8 @@ cpdef dict get_builtin_functions():
 
         sage: from sage.ext.fast_callable import get_builtin_functions
         sage: builtins = get_builtin_functions()
-        sage: sorted(list(builtins.values()))
-        ['abs', 'abs', 'acos', 'acosh', 'add', 'asin', 'asinh', 'atan', 'atanh', 'ceil', 'cos', 'cosh', 'cot', 'csc', 'div', 'div', 'exp', 'floor', 'floordiv', 'inv', 'log', 'mul', 'neg', 'pow', 'sec', 'sin', 'sinh', 'sqrt', 'sub', 'tan', 'tanh']
+        sage: set(builtins.values())
+        {'abs', 'acos', 'acosh', 'add', 'asin', 'asinh', 'atan', 'atanh', 'ceil', 'cos', 'cosh', 'cot', 'csc', 'div', 'exp', 'floor', 'floordiv', 'inv', 'log', 'mul', 'neg', 'pow', 'sec', 'sin', 'sinh', 'sqrt', 'sub', 'tan', 'tanh'}
         sage: builtins[sin]
         'sin'
         sage: builtins[ln]