Software Manual for the Elementary Functions

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