sage import

cagosig/cable_signature.sage

@@ -8,20 +8,18 @@ from typing import Iterable
 from collections import Counter
 from sage.arith.functions import LCM_list
 import importlib
-from .utility import import_sage
+from .utility import import_sage, mod_one
+from . import signature as sig
 
 SIGMA = 0
 SIGNATURE = 1
 
-package = __name__.split('.')[0]
-path = os.path.dirname(__file__)
-sig = import_sage('signature', package=package, path=path)
 
 
 # #############################################################################
 # 9.11 (9.8)
 # 9.15 (9.9)
-PLOTS_DIR = "plots"
+PLOTS_DIR = "../plots"
 
 class CableSummand:
 
@@ -343,8 +341,8 @@ class CableSum:
         else:
             save_path = None
 
-        for theta, knot in zip(thetas, self.knot_summands):
-            knot.plot_summand_for_theta(thetas, save_path=save_path)
+        # for theta, knot in zip(thetas, self.knot_summands):
+        #     knot.plot_summand_for_theta(thetas, save_path=save_path)
 
         # pp, sp, sf = self.signature_as_function_of_theta(*thetas)
         # title = self.knot_description + ", thetas = " + str(thetas)
@@ -670,8 +668,6 @@ class CableTemplate:
         return CableTemplate(knot_formula)
 
 
-def mod_one(n):
-    return n - floor(n)
 
 
 CableSum.get_signature_as_function_of_theta.__doc__ = \

cagosig/main.sage

@@ -13,11 +13,11 @@ import re
 import numpy as np
 import importlib
 from .utility import import_sage
+from . import signature as sig
+from . import cable_signature as cs
 
 package = __name__.split('.')[0]
 path = os.path.dirname(__file__)
-sig = import_sage('signature', package=package, path=path)
-cs = import_sage('cable_signature', package=package, path=path)
 
 
 class Config:
@@ -266,45 +266,3 @@ if __name__ == '__main__':
 #             "[-k[0], -k[5], -k[7]]]"
 #
 #
-
-"""
-This script calculates signature functions for knots (cable sums).
-
-The script can be run as a sage script from the terminal
-or used in interactive mode.
-
-A knot (cable sum) is encoded as a list where each element (also a list)
-corresponds to a cable knot, e.g. a list
-[[1, 3], [2], [-1, -2], [-3]] encodes
-T(2, 3; 2, 7) # T(2, 5) # -T(2, 3; 2, 5) # -T(2, 7).
-
-To calculate the number of characters for which signature function vanish use
-the function eval_cable_for_null_signature as shown below.
-
-sage: eval_cable_for_null_signature([[1, 3], [2], [-1, -2], [-3]])
-
-T(2, 3; 2, 7) # T(2, 5) # -T(2, 3; 2, 5) # -T(2, 7)
-Zero cases: 1
-All cases: 1225
-Zero theta combinations:
-(0, 0, 0, 0)
-
-sage:
-
-The numbers given to the function eval_cable_for_null_signature are k-values
-for each component/cable in a direct sum.
-
-To calculate signature function for a knot and a theta value, use function
-get_signature_as_function_of_theta (see help/docstring for details).
-
-About notation:
-Cables that we work with follow a schema:
-    T(2, q_1; 2, q_2; 2, q_4) # -T(2, q_2; 2, q_4) #
-            # T(2, q_3; 2, q_4) # -T(2, q_1; 2, q_3; 2, q_4)
-In knot_formula each k[i] is related with some q_i value, where
-q_i = 2*k[i] + 1.
-So we can work in the following steps:
-1) choose a schema/formula by changing the value of knot_formula
-2) set each q_i all or choose range in which q_i should varry
-3) choose vector v / theata vector.
-"""

cagosig/signature.sage

@@ -6,6 +6,7 @@ import inspect
 from PIL import Image
 from pathlib import Path
 import warnings
+from .utility import mod_one
 
 # 9.11 (9.8)
 # 9.15 (9.9)
@@ -13,8 +14,6 @@ import sys
 import os
 
 
-
-
 JUPYTER = 'ipykernel'
 IPy_TERMINAL = 'IPython'
 
@@ -366,8 +365,6 @@ class SignaturePloter:
                 """
             f.write(tail)
 
-def mod_one(n):
-    return n - floor(n)
 
 SignatureFunction.__doc__ = \
     """
@@ -380,19 +377,3 @@ SignatureFunction.__doc__ = \
     and value encodes the value of the jump. Remember that we treat
     signature functions as defined on the interval [0,1).
     """
-
-
-mod_one.__doc__ = \
-    """
-    Argument:
-        a number
-    Return:
-        the fractional part of the argument
-    Examples:
-        sage: mod_one(9 + 3/4)
-        3/4
-        sage: mod_one(-9 + 3/4)
-        3/4
-        sage: mod_one(-3/4)
-        1/4
-    """

cagosig/utility.py

@@ -2,25 +2,40 @@ import importlib
 import os
 import sys
 import re
+import math
+
+def mod_one(n):
+    """
+    Argument:
+        a number
+    Return:
+        the fractional part of the argument
+    Examples:
+        sage: mod_one(9 + 3/4)
+        3/4
+        sage: mod_one(-9 + 3/4)
+        3/4
+        sage: mod_one(-3/4)
+        1/4
+    """
+    return n - math.floor(n)
 
 
-
-def import_sage(module_name, package=None, path=None):
+def import_sage(module_name, package=None, path=''):
     """
     Import or reload SageMath modules with preparse if the sage file exist.
     """
 
     sage_name = module_name + ".sage"
     python_name = module_name + ".sage.py"
+
     if package is not None:
         path_from_package_name = re.sub(r'\.', r'\\', package)
-        file_path = os.path.join('', path, path_from_package_name)
-    else:
-        file_path = os.path.join('', path)
+        path = os.path.join(path, path_from_package_name)
 
-    sage_path = os.path.join(file_path, sage_name)
-    python_path = os.path.join(file_path, python_name)
-    module_path = os.path.join(file_path, module_name)
+    sage_path = os.path.join(path, sage_name)
+    python_path = os.path.join(path, python_name)
+    module_path = os.path.join(path, module_name)
 
     if os.path.isfile(sage_path):
         os.system('sage --preparse {}'.format(sage_path));

notebooks/path.py

@@ -0,0 +1,8 @@
+#!/usr/bin/env python3
+
+import sys
+import os
+
+module_path = os.path.abspath(os.pardir)
+if module_path not in sys.path:
+    sys.path.append(module_path)