Created
July 5, 2013 20:25
-
-
Save apetrone/5937013 to your computer and use it in GitHub Desktop.
Matrix transpose to C code
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
# This was created as a matrix utility to create C code from matrix notations | |
colMajor = { | |
11 : 0, 12 : 4, 13 : 8, 14 : 12, | |
21 : 1, 22 : 5, 23 : 9, 24 : 13, | |
31 : 2, 32 : 6, 33 : 10, 34 : 14, | |
41 : 3, 42 : 7, 43 : 11, 44 : 15 | |
} | |
rowMajor = { | |
11 : 0, 12 : 1, 13 : 2, 14 : 3, | |
21 : 4, 22 : 5, 23 : 6, 24 : 7, | |
31 : 8, 32 : 9, 33 : 10, 34 : 11, | |
41 : 12, 42 : 13, 43 : 14, 44 : 15 | |
} | |
#print ( colMajor[11] ) | |
inv = """ | |
11 = (22 * 33 * 44 + 23 * 34 * 42 + 24 * 32 * 43) - (22 * 34 * 43 - 23 * 32 * 44 - 24 * 33 * 42); | |
12 = (12 * 34 * 43 + 13 * 32 * 44 + 14 * 33 * 42) - (12 * 33 * 44 - 13 * 34 * 32 - 14 * 32 * 43); | |
13 = (12 * 23 * 44 + 13 * 24 * 42 + 14 * 22 * 43) - (12 * 24 * 43 - 13 * 22 * 44 - 14 * 23 * 42); | |
14 = (12 * 24 * 43 + 13 * 22 * 34 + 14 * 23 * 32) - (12 * 23 * 34 - 13 * 24 * 32 - 14 * 22 * 33); | |
21 = (21 * 34 * 43 + 23 * 31 * 44 + 24 * 33 * 41) - (21 * 33 * 44 - 23 * 34 * 41 - 24 * 31 * 43); | |
22 = (11 * 33 * 44 + 13 * 34 * 41 + 14 * 31 * 43) - (11 * 34 * 43 - 13 * 31 * 44 - 14 * 33 * 41); | |
23 = (11 * 24 * 43 + 13 * 21 * 44 + 14 * 23 * 41) - (11 * 23 * 43 - 13 * 24 * 41 - 14 * 21 * 43); | |
24 = (11 * 23 * 34 + 13 * 24 * 31 + 14 * 21 * 33) - (11 * 24 * 33 - 13 * 21 * 34 - 14 * 23 * 31); | |
31 = (21 * 32 * 44 + 22 * 34 * 41 + 24 * 31 * 42) - (21 * 34 * 42 - 22 * 31 * 44 - 24 * 32 * 41); | |
32 = (11 * 34 * 42 + 12 * 31 * 44 + 14 * 32 * 41) - (11 * 32 * 44 - 12 * 34 * 41 - 14 * 31 * 42); | |
33 = (11 * 22 * 44 + 12 * 24 * 41 + 14 * 21 * 42) - (11 * 24 * 42 - 12 * 21 * 44 - 14 * 22 * 41); | |
34 = (11 * 24 * 32 + 12 * 21 * 34 + 14 * 22 * 31) - (11 * 22 * 34 - 12 * 24 * 31 - 14 * 21 * 32); | |
41 = (21 * 33 * 42 + 22 * 31 * 43 + 23 * 32 * 41) - (21 * 32 * 43 - 22 * 33 * 41 - 23 * 31 * 42); | |
42 = (11 * 32 * 43 + 12 * 33 * 41 + 13 * 31 * 42) - (11 * 33 * 42 - 12 * 31 * 43 - 13 * 32 * 41); | |
43 = (11 * 23 * 42 + 12 * 21 * 43 + 13 * 22 * 41) - (11 * 22 * 43 - 12 * 23 * 41 - 13 * 21 * 42); | |
44 = (11 * 22 * 33 + 12 * 23 * 31 + 13 * 21 * 32) - (11 * 23 * 32 - 12 * 21 * 33 - 13 * 22 * 31); | |
""" | |
inv2 = """ | |
11 = 23 * 34 * 42 - 24 * 33 * 42 + 24 * 32 * 43 - 22 * 34 * 43 - 23 * 32 * 44 + 22 * 33 * 44; | |
12 = 14 * 33 * 42 - 13 * 34 * 42 - 14 * 32 * 43 + 12 * 34 * 43 + 13 * 32 * 44 - 12 * 33 * 44; | |
13 = 13 * 24 * 42 - 14 * 23 * 42 + 14 * 22 * 43 - 12 * 24 * 43 - 13 * 22 * 44 + 12 * 23 * 44; | |
14 = 14 * 23 * 32 - 13 * 24 * 32 - 14 * 22 * 33 + 12 * 24 * 33 + 13 * 22 * 34 - 12 * 23 * 34; | |
21 = 24 * 33 * 41 - 23 * 34 * 41 - 24 * 31 * 43 + 21 * 34 * 43 + 23 * 31 * 44 - 21 * 33 * 44; | |
22 = 13 * 34 * 41 - 14 * 33 * 41 + 14 * 31 * 43 - 11 * 34 * 43 - 13 * 31 * 44 + 11 * 33 * 44; | |
23 = 14 * 23 * 41 - 13 * 24 * 41 - 14 * 21 * 43 + 11 * 24 * 43 + 13 * 21 * 44 - 11 * 23 * 44; | |
24 = 13 * 24 * 31 - 14 * 23 * 31 + 14 * 21 * 33 - 11 * 24 * 33 - 13 * 21 * 34 + 11 * 23 * 34; | |
31 = 22 * 34 * 41 - 24 * 32 * 41 + 24 * 31 * 42 - 21 * 34 * 42 - 22 * 31 * 44 + 21 * 32 * 44; | |
32 = 14 * 32 * 41 - 12 * 34 * 41 - 14 * 31 * 42 + 11 * 34 * 42 + 12 * 31 * 44 - 11 * 32 * 44; | |
33 = 12 * 24 * 41 - 14 * 22 * 41 + 14 * 21 * 42 - 11 * 24 * 42 - 12 * 21 * 44 + 11 * 22 * 44; | |
34 = 14 * 22 * 31 - 12 * 24 * 31 - 14 * 21 * 32 + 11 * 24 * 32 + 12 * 21 * 34 - 11 * 22 * 34; | |
41 = 23 * 32 * 41 - 22 * 33 * 41 - 23 * 31 * 42 + 21 * 33 * 42 + 22 * 31 * 43 - 21 * 32 * 43; | |
42 = 12 * 33 * 41 - 13 * 32 * 41 + 13 * 31 * 42 - 11 * 33 * 42 - 12 * 31 * 43 + 11 * 32 * 43; | |
43 = 13 * 22 * 41 - 12 * 23 * 41 - 13 * 21 * 42 + 11 * 23 * 42 + 12 * 21 * 43 - 11 * 22 * 43; | |
44 = 12 * 23 * 31 - 13 * 22 * 31 + 13 * 21 * 32 - 11 * 23 * 32 - 12 * 21 * 33 + 11 * 22 * 33; | |
""" | |
mult = """ | |
""" | |
determinant = """ | |
(14 * 23 * 32 * 41-13 * 24 * 32 * 41-14 * 22 * 33 * 41 + 12 * 24 * 33 * 41+ | |
13 * 22 * 34 * 41-12 * 23 * 34 * 41-14 * 23 * 31 * 42 + 13 * 24 * 31 * 42+ | |
14 * 21 * 33 * 42-11 * 24 * 33 * 42-13 * 21 * 34 * 42 + 11 * 23 * 34 * 42+ | |
14 * 22 * 31 * 43-12 * 24 * 31 * 43-14 * 21 * 32 * 43 + 11 * 24 * 32 * 43+ | |
12 * 21 * 34 * 43-11 * 22 * 34 * 43-13 * 22 * 31 * 44 + 12 * 23 * 31 * 44+ | |
13 * 21 * 32 * 44-11 * 23 * 32 * 44-12 * 21 * 33 * 44 + 11 * 22 * 33 * 44); | |
""" | |
src = determinant | |
import re; | |
matches = re.findall( '\d\d *', src, re.MULTILINE ) | |
activeMapping = rowMajor | |
#print( matches ) | |
def LookupValue( value ): | |
return activeMapping[ int(value) ] | |
keylist = activeMapping.items() | |
sortedkeys = sorted( activeMapping.keys(), key=lambda x: activeMapping[x]) | |
#print( sortedkeys ) | |
out = src | |
for m in sortedkeys: | |
# print( str(m) ) | |
out = out.replace( str(m), 'out.m[' + str(LookupValue(m)) + '] ' ) | |
print( out ) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment