The BBC and Master Computer Public Domain Library

BF24 Table of Floating Point Constants

Submitted by Steve Fewell

Description:

This is a start of the table of Mathematical Constants that BASIC uses.
Each Floating Point Constant is stored as a 5-byte floating point variable.
That is where the 1st Byte = Exponent and the next 4 bytes = the Mantissa value (MSB first).

It's contents are as follows:

Start Address	Exponent	Mantissa 1	Mantissa 2	Mantissa 3	Mantissa 4	Value	Description
BF24	81	C9	10	00	00	-1.57080078
BF29	6F	15	77	7A	61	0.00000445445511
BF2E	81	49	0F	DA	A2	1.57079633	Pi/2
BF33	80	22	F9	83	6E	0.636619772	2/Pi
BF38	7B	0E	FA	35	12	0.0174532925	Degree (= Pi / 180)
BF3D	86	65	2E	E0	D3	57.2957795	Radan (= 1 / (Pi / 180) [i.e.: 1 / Degree])
BF42	7F	5E	5B	D8	AA	0.434294482	1/Log(10)
BF47	82	2D	F8	54	58	2.71828183	exp(1) [or just e]
BF4C	80	31	72	17	F8	0.693147181	Log(2)
BF51	80	0B	D7	50	29	0.546254168	LN continued-fraction expanion series - adder 1
BF56	7C	D2	7C	86	05	-0.0513882861	LN continued-fraction expanion series - divisor 1
BF5B	80	15	52	B6	36	0.583293331	LN continued-fraction expanion series - adder 2
BF60	7C	99	98	36	04	-0.0374986753	LN continued-fraction expanion series - divisor 2
BF65	80	40	00	01	10	0.750000063	LN continued-fraction expanion series - adder 3
BF6A	7F	2A	AA	AA	E3	0.33333334	1/3 -> LN continued-fraction expanion series - divisor 3
BF6F	7F	FF	FF	FF	FF	-0.5	-1/2 -> LN continued-fraction expanion series - adder 4
BF74	7A	C3	1E	18	BE	-0.0119090311	SIN/COS continued-fraction expanion series - adder 1
BF79	73	61	71	55	2D	0.000107499459	SIN/COS continued-fraction expanion series - divisor 1
BF7E	7B	8C	9B	91	88	-0.0171640246	SIN/COS continued-fraction expanion series - adder 2
BF83	77	2B	A4	C4	53	0.0013095369	SIN/COS continued-fraction expanion series - divisor 2
BF88	7C	4C	CC	CA	B7	0.0499999922	SIN/COS continued-fraction expanion series - adder 3
BF8D	7E	AA	AA	AA	A6	-0.166666666	-1/6 -> SIN/COS continued-fraction expanion series -divisor 3
BF92	81	00	00	00	00	1	SIN/COS continued-fraction expanion series - adder 4
BF97	7D	A3	F2	EF	44	-0.0800532048	ATN continued-fraction expanion series - adder 1
BF9C	7E	1F	01	A1	4D	0.155279656	ATN continued-fraction expanion series - divisor 1
BFA1	7F	61	6D	F4	3F	0.440292008	ATN continued-fraction expanion series - adder 2
BFA6	7E	5C	91	23	AC	0.215397413	ATN continued-fraction expanion series - divisor 2
BFAB	7E	76	B8	8D	1A	0.240938382	ATN continued-fraction expanion series - adder 3
BFB0	7D	1D	3E	AB	2C	0.0767796872	ATN continued-fraction expanion series - divisor 3
BFB5	81	09	41	81	D2	1.07231162	ATN continued-fraction expanion series - adder 4
BFBA	80	74	DF	BD	20	0.956538983	ATN continued-fraction expanion series - divisor 4
BFBF	80	83	8B	1F	B5	-0.513841612	ATN continued-fraction expanion series - adder 5
BFC4	7F	82	59	AD	AB	-0.254590442	ATN continued-fraction expanion series - divisor 5
BFC9	80	6D	63	38	2C	0.927295218	2*arctan(1/2) [or arccos(sqrt(9/25))] -> ATN continued-fraction expanion series - adder 6
BFCE	7D	11	D4	B1	D1	0.071206464	EXP continued-fraction expanion series - adder 1
BFD3	79	68	BC	4F	59	0.00710252642	EXP continued-fraction expanion series - divisor 1
BFD8	75	05	2C	9E	39	0.000254009799	EXP continued-fraction expanion series - adder 2
BFDD	7B	08	88	3B	A6	0.0166665235	EXP continued-fraction expanion series - divisor 2
BFE2	6C	31	CF	D1	8C	0.000000662400541	EXP continued-fraction expanion series - adder 3
BFE7	7D	2A	AA	AA	89	0.0833333324	EXP continued-fraction expanion series - divisor 3
BFEC	7F	FF	FF	FF	E8	-0.499999997	EXP continued-fraction expanion series - adder 4
BFF1	81	00	00	00	00	1	EXP continued-fraction expanion series - divisor 4
BFF6	81	00	00	00	00	1	EXP continued-fraction expanion series - adder 5

Other Constants:
----	81	80	00	00	00	-1	Calc in LN (A746)