Software Manual for the Elementary Functions

Jr. William J. Cody, William Waite9780138220648, 0138220646

Table of contents :
Contents……Page 5
Preface……Page 9
1. Introduction……Page 11
2. Preliminaries……Page 13
3. Performance Testing……Page 21
a. General Discussion……Page 27
b. Flow Chart for SQRT(X)……Page 28
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 29
d. Implementation Notes, Binary Floating-Point Machines……Page 33
e. Implementation Notes, Non-Binary Floating-Point Machines……Page 35
f. Testing……Page 38
a. General Discussion……Page 45
b. Flow Chart for ALOG(X)/ALOG10(X)……Page 47
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 48
d. Implementation Notes, Non-Decimal Floating-Point Machines……Page 52
e. Implementation Notes, Decimal Floating-Point Machines……Page 56
f. Testing……Page 59
a. General Discussion……Page 70
b. Flow Chart for EXP(X)……Page 72
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 73
d. Implementation Notes, Non-Decimal Floating-Point Machines……Page 77
e. Implementation Notes, Decimal Floating-Point Machines……Page 81
f. Testing……Page 85
a. General Discussion……Page 94
b. Flow Chart for POWER(X,Y)……Page 98
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 100
d. Implementation Notes, Non-Decimal Floating-Point Machines……Page 107
e. Implementation Notes, Decimal Floating-Point Machines……Page 116
f. Testing……Page 123
a. General Discussion……Page 135
b. Flow Chart for SIN(X)/COS(X)……Page 137
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 139
d. Implementation Notes, All Floating-Point Machines……Page 144
e. Testing……Page 149
a. General Discussion……Page 160
b. Flow Chart for TAN(X)/COTAN(X)……Page 162
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 164
d. Implementation Notes, All Floating-Point Machines……Page 169
e. Testing……Page 174
b. Flow Chart for ASIN(X)/ACOS(X)……Page 184
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 187
d. Implementation Notes, All Floating-Point Machines……Page 191
e. Testing……Page 195
a. General Discussion……Page 204
b. Flow Chart for ATAN(X)/ATAN2(V,U)……Page 206
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 208
d. Implementation Notes, All Floating-Point Machines……Page 213
e. Testing……Page 217
a. General Discussion……Page 227
b. Flow Chart for SINH(X)/COSH(X)……Page 230
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 231
d. Implementation Notes, All Floating-Point Machines……Page 235
e. Testing……Page 239
a. General Discussion……Page 249
b. Flow Chart for TANH(X)……Page 251
c. Implementation Notes, Non-Decimal Fixed-Point Machines……Page 252
d. Implementation Notes, All Floating-Point Machines……Page 255
e. Testing……Page 258
Appendix A. Random Number Generators……Page 266
Appendix B. Environmental Inquiry Subprogram……Page 268
References……Page 275
Glossary……Page 277