round #1: accuracy of tan(355/226)
this test is to compute the tangent of 355/226 (radians) which
is very close to pi/2 and tan(pi/2) = infinity. the accuracy of this test
depends on the accuracy of the tangent implementation and the number of internal
significant figures used in the calculation.
correct answer, tan(355/226) = -7497258.18532558711290507183
| calculator |
displayed result |
relative error |
| palm pilot (rom calculator ieee-754) |
-7497258.1916213 |
8.40x10-10 |
| hp35 |
-7462586.567 |
4.61x10^-3 |
| hp65 |
-7.518796992e6 |
2.87x10^-3 |
| hp29c, hp32e, 15c, 41cx |
-7507225.705 |
1.33x10^-3 |
| hp20s, 32sii |
-7497089.06508 |
2.26x10^-5 |
| hp25 |
-7518796.992 |
2.87x10-3 |
| hp 28c, hp48G |
-7497089.06508 |
2.26x10^-5 |
| hp30s, hp9g |
-7497258.185 |
0 |
| sumlock 322G scientist |
-7497239.623 |
2.48x10^-6 |
| casio fx-10 |
E |
|
| casio fx-19, fx-29 |
-13698630 |
way out |
| casio fx-101, fx-31, fx-39, fx-82, fx-120 |
-7518797 |
2.87x10^-3 |
| casio fx-1 |
-7498465.796 |
1.61x10^-4 |
| casio fx-201p |
-7507507.5 |
1.37x10^-3 |
| casio fx-100, fx-3900pv, fx-451m |
-7501875.469 |
6.16x10^-4 |
| casio fx-3500p, fx-180p |
-7501875.46 |
6.16x10^-4 |
| casio fx-361, fx-911m, fx-82l, fx-85m, fx-350, fx-920 |
-7501875.5 |
6.16x10^-4 |
| casio fx-300h, fx-85v |
-7497938.1 |
9.07x10^-5 |
| casio fx-100d, fx-4000p, fx-5500l, fx-50f |
-7497938.067 |
9.07x10^-5 |
| casio fx-992v |
-7497263.49882 |
7.09x10^-7 |
| casio fx-4800p |
-7497258.44 |
3.40x10^-8 |
| boots 425 (casio fx-31) |
-7518797 |
2.87x10^-3 |
| national semiconductor 4640 |
-7496700.103 |
7.44x10^-5 |
| commodore sr-4148R & 1540 |
-7497396.771 |
1.85x10^-5 |
| commodore sr-1800 |
-7497396.7(71) |
1.85x10^-5 |
| commodore sr-9190r |
-7498432.938 |
1.57x10^-4 |
| sharp pc-1001 |
-7496251.874 |
1.34x10^-4 |
| sharp el-512 |
-7497484.888 |
3.02x10^-5 |
| sharp el-545h, el-5020 |
-7497681.111 |
5.28x10^-5 |
| sharp el-531p |
-7497656.982 |
5.32x10^-5 |
| sharp el-9900 |
-7497264.141 |
7.96x10^-7 |
| sharp pc-1251 pocket computer |
-7497484.888 |
3.02x10^-5 |
| sinclair enterprise |
-9708737.9 |
way out |
| canon f-73 |
-7499447.58 |
2.92x10^-4 |
| ti sr-50 & ti-58, ti-59 |
-7497385.261 |
1.70x10^-5 |
| ti-55, ti-51-III |
-7496251.9 |
1.34x10^-4 |
| ti-57 (1978) |
-7501875.5 |
6.16x10^-4 |
| ti-52 |
-7497094.876 |
2.18x10^-5 |
| ti-30x iiB |
-7497263.499 |
7.09x10^-7 |
| ti-30 |
-7543377.2 |
6.15x10^-3 |
| ti-30 lcd |
-7512430 |
2.02x10^-3 |
| ti-89 (current) |
-7497257.87793 |
4.10x10^-8 |
| ti-30s |
-7499447.6 |
2.92x10^-4 |
| sharp el520w |
-7497264.149 |
7.95x10^-7 |
| casio fx-991es, fx-570es |
-7497258.44 |
3.40x10^-8 |
comments
- it is interesting that the SR-50 from 1973 is twice as accurate as the top
of the line HP.
- the casio fx-1 beats many more modern casio machines (and it has no native radian
mode).
- the fx-4800p just beats the ti89 because it works with 15 digits.
- all the new casio models like the fx-991es are the same 15 digit
accuracy as the fx-4800p.
|