Elementary Functions
Algorithms and implementation
Last modification: September 8, 1999

Acknowledgements
I am grateful to the following people, who sent me errata:

Corrections

Chapter 1

p. 4, l. 8:  apparition -> appearance

p. 5, l. 11:  functions or more -> functions of more

Chapter 2

p. 17: conventional, nonredundant binary system -> conventional, nonredundant, binary system

Chapter 3

Chapter 4

Chapter 5

p. 77, the reference to Theorem 5.5 should be a reference to Theorem 5.

p. 79  - first complete sentence. Summation should be in terms of  "n = 0 to inf " rather than "k=0 to inf".

p. 81, the 3rd line should read

0 \leq \ell - t_n ...

and not

0 \leq t - t_n ...
Chapter 6
p. 101, Equation (6.1) should read
z_{n+1} = z_n - d_n \arctan 2^{-n}
and not
z_{n+1} = z_n - \arctan 2^{-n}
p. 105, Equation (6.11) should read
z_{n+1} = z_n - d_n w_{\sigma(n)}
and not
z_{n+1} = z_n - w_{\sigma(n)}
Chapter 7

Chapter 8

p. 147, in Table 8.2: casio FX-702P -> Casio FX-702P

p. 148, in footnote 3, I wrote "To my knowledge, there is no current computer with such a poor arithmetic".  Many Cray computers have had subtraction without a guard bit.

p. 153: print(numberofdigits,l) -> print('numberofdigits',l)

p. 155, there is an error in the bits of 4/pi starting from bit 33 (I won't give the same of the software with which I got the wrong value). The right value is:

1.010001011111001100000110110111001001110010001000001010100101001111111000010011101010111110100011111010100110
10011011101110000001101101101100010100101011001100100111100010000111001000001000001111111100101000101100011101
01011110111101011101111000101011000011011011100100100011011100011101001000010010011011101001011100000000001100
10010010010111011101010000010011101000110010010000111001111111000011101111010110001110010110001001010011010011
10011111011101000100000100011010111110101001011101011101101000100100001001110100110011100011100000010011010110
10001011111011111100100000100111001100100011101011000111001100000110101001100111001111101001001110010000100010
11111100010111011110111111001001010000011101100011111111110001001011111111111110111100000010110011000000011111
11011110010111100010001100010110101101000001010011011010001111101101101001101100111111011001111001001111100101
10000100110110111010011110100011000111111011001101001111001011111111010100010110101110101001001111011101011000
11111101011

Chapter 9
p. 169: l. 11: We did the same assumption -> We made the same assumption
Chapter 10

Bibliography