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+--- Thread: sine of an angle in degree mode (/thread-10007.html)
Pages: 1 2
RE: sine of an angle in degree mode - cyrille de brébisson - 01-29-2018 06:58 AM
Hello,
Well, since you guys want "precise" info, I had a look at the source code.
grad are converted to deg if needed.
The calc has a flag (fix) which tells it if the result is a remarquable value (0° in all modes, n*30° or tan(45) in deg/grad).
This flag is also put on entry if 0 is detected.
The calc then does a modulo 45 or pi/2, depending, using 31 digits.
It then applies cordic, which yeild a x and y pair on the axis of the angle.
tan=y/x cos/sin are calculated from tan using 1/sqrt(1+tan()²).
Then, if the flag was set, the result is rounded.
and this is it.
Cheers,
Cyrille
RE: sine of an angle in degree mode - rflesch - 01-29-2018 08:26 AM
(01-29-2018 06:58 AM)cyrille de brébisson Wrote: Hello,
Well, since you guys want "precise" info, I had a look at the source code.
(...)
Then, if the flag was set, the result is rounded.
and this is it.
Cheers,
Cyrille
Tank you!!! From my point of view (I'm the OP) this is settled now.
RE: sine of an angle in degree mode - emece67 - 01-29-2018 12:31 PM
(01-26-2018 10:23 AM)Mike (Stgt) Wrote: For the inquisitive here a compare of the HP-15C firware trace from DEG 360 SIN and 720 SIN.From pushing SIN to display of the result (to be exact: to light sleep) it takes only two more firmware instructions to compute the result for 720 instead of 360.Code:
SUPERC - CMS FILE/LINE/WORD/BYTE/SFOR COMPARE UTILITY - V3.01 (11/22/95) 01/26/18 11.05 PAGE 1
NEW: SIN 720 C OLD: SIN 360 C
LISTING OUTPUT SECTION (LINE COMPARE)
ID NEW FILE LINES ID OLD FILE LINES N-LN# O-LN#
----+----1----+----2----+----3--- ----+----1----+----2----+----3---
0648: 1EE C=C+C ALL ! 0648: 1EE C=C+C ALL 00241 00241
0649: 1EE C=C+C ALL ! 0649: 1EE C=C+C ALL 00242 00242
064A: 3CE CSL ALL ! 064A: 3CE CSL ALL 00243 00243
064B: 0EE B<>C ALL ! 064B: 0EE B<>C ALL 00244 00244
064C: 2FA ?C#0 M ! 064C: 2FA ?C#0 M 00245 00245
064D: 09F JC +13 0660 ! 064D: 09F JC +13 0660 00246 00246
064E: 18E A=A-B ALL ! 064E: 18E A=A-B ALL 00247 00247
064F: 3FB JNC -01 064E ! 064F: 3FB JNC -01 064E 00248 00248
064E: 18E A=A-B ALL ! 064E: 18E A=A-B ALL 00249 00249
064F: 3FB JNC -01 064E ! 064F: 3FB JNC -01 064E 00250 00250
I -064E: 18E A=A-B ALL ! 00251
I -064F: 3FB JNC -01 064E ! 00252
0650: 12E A=A+B ALL ! 0650: 12E A=A+B ALL 00253 00251
0651: 3EE ASL ALL ! 0651: 3EE ASL ALL 00254 00252
0652: 266 C=C-1 X ! 0652: 266 C=C-1 X 00255 00253
0653: 3DB JNC -05 064E ! 0653: 3DB JNC -05 064E 00256 00254
0654: 04E C=0 ALL ! 0654: 04E C=0 ALL 00257 00255
0655: 0EE B<>C ALL ! 0655: 0EE B<>C ALL 00258 00256
0656: 198 C=M ! 0656: 198 C=M 00259 00257
0657: 1EE C=C+C ALL ! 0657: 1EE C=C+C ALL 00260 00258
0658: 04C ?FS 4 ! 0658: 04C ?FS 4 00261 00259
0659: 01B JNC +03 065C ! 0659: 01B JNC +03 065C 00262 00260
*** CHANGE SECTION CUTOFF ******************************
SUPERC - CMS FILE/LINE/WORD/BYTE/SFOR COMPARE UTILITY - V3.01 (11/22/95) 01/26/18 11.05 PAGE 2
NEW: SIN 720 C OLD: SIN 360 C
LINE COMPARE SUMMARY AND STATISTICS
1874 NUMBER OF LINE MATCHES 2 TOTAL CHANGES (PAIRED+NONPAIRED CHNG)
0 REFORMATTED LINES 0 PAIRED CHANGES (REFM+PAIRED INS/DEL)
2 NEW FILE LINE INSERTIONS 2 NON-PAIRED INSERTS
0 OLD FILE LINE DELETIONS 0 NON-PAIRED DELETES
1876 NEW FILE LINES PROCESSED
1874 OLD FILE LINES PROCESSED
LISTING-TYPE = CHNG COMPARE-COLUMNS = 1:33 LONGEST-LINE = 33
PROCESS OPTIONS USED: NARROW
Ciao.....Mike
Sorry for my ignorance but, what tools have you used to generate such firmware traces?
Thanks & regards.
RE: sine of an angle in degree mode - Massimo Gnerucci - 01-29-2018 12:47 PM
(01-29-2018 12:31 PM)emece67 Wrote:(01-26-2018 10:23 AM)Mike (Stgt) Wrote: For the inquisitive here a compare of the HP-15C firware trace from DEG 360 SIN and 720 SIN.Code:
SUPERC - CMS FILE/LINE/WORD/BYTE/SFOR COMPARE UTILITY - V3.01 (11/22/95) 01/26/18 11.05 PAGE 1
Sorry for my ignorance but, what tools have you used to generate such firmware traces?
Thanks & regards.
I bet it's running on an IBM mainframe running VM/CMS or z/VM. (or an emulation on Hercules...)
Those were the days...
RE: sine of an angle in degree mode - emece67 - 01-29-2018 04:23 PM
(01-29-2018 02:41 PM)Mike (Stgt) Wrote: Short answer: my own tools.
Long answer: do you have time for a looong tale? (negligibly, this question is a citation from Waterhole No. 3, when Foggers asks Cole "How come..?")
...
An interesting tale, & not so looong as expected ;-)
Thanks & regards.