1 |
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2 | /*============================================================================
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3 |
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4 | This C source file is part of TestFloat, Release 3e, a package of programs for
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5 | testing the correctness of floating-point arithmetic complying with the IEEE
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6 | Standard for Floating-Point, by John R. Hauser.
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7 |
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8 | Copyright 2011, 2012, 2013, 2014, 2015 The Regents of the University of
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9 | California. All rights reserved.
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10 |
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11 | Redistribution and use in source and binary forms, with or without
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12 | modification, are permitted provided that the following conditions are met:
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13 |
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14 | 1. Redistributions of source code must retain the above copyright notice,
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15 | this list of conditions, and the following disclaimer.
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16 |
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17 | 2. Redistributions in binary form must reproduce the above copyright notice,
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18 | this list of conditions, and the following disclaimer in the documentation
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19 | and/or other materials provided with the distribution.
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20 |
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21 | 3. Neither the name of the University nor the names of its contributors may
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22 | be used to endorse or promote products derived from this software without
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23 | specific prior written permission.
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24 |
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25 | THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
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26 | EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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27 | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
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28 | DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
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29 | DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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30 | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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31 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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32 | ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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33 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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34 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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35 |
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36 | =============================================================================*/
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37 |
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38 | #include <stdbool.h>
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39 | #include <stdint.h>
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40 | #include "platform.h"
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41 | #include "random.h"
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42 | #include "softfloat.h"
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43 | #include "genCases.h"
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44 |
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45 | #ifdef FLOAT16
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46 |
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47 | struct sequence {
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48 | int expNum, term1Num, term2Num;
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49 | bool done;
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50 | };
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51 |
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52 | union ui16_f16 { uint16_t ui; float16_t f; };
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53 |
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54 | enum {
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55 | f16NumQIn = 22,
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56 | f16NumQOut = 34,
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57 | f16NumP1 = 4,
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58 | f16NumP2 = 36
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59 | };
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60 | static const uint16_t f16QIn[f16NumQIn] = {
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61 | 0x0000, /* positive, subnormal */
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62 | 0x0400, /* positive, -14 */
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63 | 0x1000, /* positive, -11 */
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64 | 0x3400, /* positive, -2 */
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65 | 0x3800, /* positive, -1 */
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66 | 0x3C00, /* positive, 0 */
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67 | 0x4000, /* positive, 1 */
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68 | 0x4400, /* positive, 2 */
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69 | 0x6800, /* positive, 11 */
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70 | 0x7800, /* positive, 15 */
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71 | 0x7C00, /* positive, infinity or NaN */
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72 | 0x8000, /* negative, subnormal */
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73 | 0x8400, /* negative, -14 */
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74 | 0x9000, /* negative, -11 */
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75 | 0xB400, /* negative, -2 */
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76 | 0xB800, /* negative, -1 */
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77 | 0xBC00, /* negative, 0 */
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78 | 0xC000, /* negative, 1 */
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79 | 0xC400, /* negative, 2 */
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80 | 0xE800, /* negative, 11 */
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81 | 0xF800, /* negative, 15 */
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82 | 0xFC00 /* negative, infinity or NaN */
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83 | };
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84 | static const uint16_t f16QOut[f16NumQOut] = {
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85 | 0x0000, /* positive, subnormal */
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86 | 0x0400, /* positive, -14 */
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87 | 0x0800, /* positive, -13 */
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88 | 0x1000, /* positive, -11 */
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89 | 0x2C00, /* positive, -4 */
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90 | 0x3000, /* positive, -3 */
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91 | 0x3400, /* positive, -2 */
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92 | 0x3800, /* positive, -1 */
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93 | 0x3C00, /* positive, 0 */
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94 | 0x4000, /* positive, 1 */
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95 | 0x4400, /* positive, 2 */
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96 | 0x4800, /* positive, 3 */
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97 | 0x4C00, /* positive, 4 */
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98 | 0x6800, /* positive, 11 */
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99 | 0x7400, /* positive, 14 */
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100 | 0x7800, /* positive, 15 */
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101 | 0x7C00, /* positive, infinity or NaN */
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102 | 0x8000, /* negative, subnormal */
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103 | 0x8400, /* negative, -14 */
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104 | 0x8800, /* negative, -13 */
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105 | 0x9000, /* negative, -11 */
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106 | 0xAC00, /* negative, -4 */
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107 | 0xB000, /* negative, -3 */
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108 | 0xB400, /* negative, -2 */
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109 | 0xB800, /* negative, -1 */
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110 | 0xBC00, /* negative, 0 */
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111 | 0xC000, /* negative, 1 */
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112 | 0xC400, /* negative, 2 */
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113 | 0xC800, /* negative, 3 */
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114 | 0xCC00, /* negative, 4 */
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115 | 0xE800, /* negative, 11 */
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116 | 0xF400, /* negative, 14 */
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117 | 0xF800, /* negative, 15 */
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118 | 0xFC00 /* negative, infinity or NaN */
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119 | };
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120 | static const uint16_t f16P1[f16NumP1] = {
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121 | 0x0000,
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122 | 0x0001,
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123 | 0x03FF,
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124 | 0x03FE
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125 | };
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126 | static const uint16_t f16P2[f16NumP2] = {
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127 | 0x0000,
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128 | 0x0001,
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129 | 0x0002,
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130 | 0x0004,
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131 | 0x0008,
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132 | 0x0010,
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133 | 0x0020,
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134 | 0x0040,
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135 | 0x0080,
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136 | 0x0100,
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137 | 0x0200,
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138 | 0x0300,
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139 | 0x0380,
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140 | 0x03C0,
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141 | 0x03E0,
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142 | 0x03F0,
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143 | 0x03F8,
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144 | 0x03FC,
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145 | 0x03FE,
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146 | 0x03FF,
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147 | 0x03FD,
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148 | 0x03FB,
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149 | 0x03F7,
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150 | 0x03EF,
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151 | 0x03DF,
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152 | 0x03BF,
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153 | 0x037F,
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154 | 0x02FF,
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155 | 0x01FF,
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156 | 0x00FF,
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157 | 0x007F,
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158 | 0x003F,
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159 | 0x001F,
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160 | 0x000F,
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161 | 0x0007,
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162 | 0x0003
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163 | };
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164 |
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165 | static const uint_fast64_t f16NumQInP1 = f16NumQIn * f16NumP1;
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166 | static const uint_fast64_t f16NumQOutP1 = f16NumQOut * f16NumP1;
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167 |
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168 | static float16_t f16NextQInP1( struct sequence *sequencePtr )
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169 | {
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170 | int expNum, sigNum;
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171 | union ui16_f16 uZ;
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172 |
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173 | expNum = sequencePtr->expNum;
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174 | sigNum = sequencePtr->term1Num;
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175 | uZ.ui = f16QIn[expNum] | f16P1[sigNum];
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176 | ++sigNum;
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177 | if ( f16NumP1 <= sigNum ) {
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178 | sigNum = 0;
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179 | ++expNum;
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180 | if ( f16NumQIn <= expNum ) {
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181 | expNum = 0;
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182 | sequencePtr->done = true;
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183 | }
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184 | sequencePtr->expNum = expNum;
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185 | }
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186 | sequencePtr->term1Num = sigNum;
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187 | return uZ.f;
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188 |
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189 | }
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190 |
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191 | static float16_t f16NextQOutP1( struct sequence *sequencePtr )
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192 | {
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193 | int expNum, sigNum;
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194 | union ui16_f16 uZ;
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195 |
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196 | expNum = sequencePtr->expNum;
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197 | sigNum = sequencePtr->term1Num;
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198 | uZ.ui = f16QOut[expNum] | f16P1[sigNum];
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199 | ++sigNum;
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200 | if ( f16NumP1 <= sigNum ) {
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201 | sigNum = 0;
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202 | ++expNum;
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203 | if ( f16NumQOut <= expNum ) {
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204 | expNum = 0;
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205 | sequencePtr->done = true;
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206 | }
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207 | sequencePtr->expNum = expNum;
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208 | }
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209 | sequencePtr->term1Num = sigNum;
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210 | return uZ.f;
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211 |
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212 | }
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213 |
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214 | static const uint_fast64_t f16NumQInP2 = f16NumQIn * f16NumP2;
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215 | static const uint_fast64_t f16NumQOutP2 = f16NumQOut * f16NumP2;
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216 |
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217 | static float16_t f16NextQInP2( struct sequence *sequencePtr )
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218 | {
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219 | int expNum, sigNum;
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220 | union ui16_f16 uZ;
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221 |
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222 | expNum = sequencePtr->expNum;
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223 | sigNum = sequencePtr->term1Num;
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224 | uZ.ui = f16QIn[expNum] | f16P2[sigNum];
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225 | ++sigNum;
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226 | if ( f16NumP2 <= sigNum ) {
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227 | sigNum = 0;
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228 | ++expNum;
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229 | if ( f16NumQIn <= expNum ) {
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230 | expNum = 0;
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231 | sequencePtr->done = true;
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232 | }
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233 | sequencePtr->expNum = expNum;
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234 | }
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235 | sequencePtr->term1Num = sigNum;
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236 | return uZ.f;
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237 |
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238 | }
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239 |
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240 | static float16_t f16NextQOutP2( struct sequence *sequencePtr )
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241 | {
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242 | int expNum, sigNum;
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243 | union ui16_f16 uZ;
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244 |
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245 | expNum = sequencePtr->expNum;
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246 | sigNum = sequencePtr->term1Num;
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247 | uZ.ui = f16QOut[expNum] | f16P2[sigNum];
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248 | ++sigNum;
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249 | if ( f16NumP2 <= sigNum ) {
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250 | sigNum = 0;
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251 | ++expNum;
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252 | if ( f16NumQOut <= expNum ) {
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253 | expNum = 0;
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254 | sequencePtr->done = true;
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255 | }
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256 | sequencePtr->expNum = expNum;
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257 | }
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258 | sequencePtr->term1Num = sigNum;
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259 | return uZ.f;
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260 |
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261 | }
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262 |
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263 | static float16_t f16RandomQOutP3( void )
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264 | {
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265 | union ui16_f16 uZ;
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266 |
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267 | uZ.ui =
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268 | f16QOut[randomN_ui8( f16NumQOut )]
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269 | | ((f16P2[randomN_ui8( f16NumP2 )] + f16P2[randomN_ui8( f16NumP2 )])
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270 | & 0x03FF);
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271 | return uZ.f;
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272 |
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273 | }
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274 |
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275 | static float16_t f16RandomQOutPInf( void )
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276 | {
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277 | union ui16_f16 uZ;
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278 |
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279 | uZ.ui = f16QOut[randomN_ui8( f16NumQOut )] | (random_ui16() & 0x03FF);
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280 | return uZ.f;
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281 |
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282 | }
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283 |
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284 | enum { f16NumQInfWeightMasks = 4 };
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285 | static const uint16_t f16QInfWeightMasks[f16NumQInfWeightMasks] =
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286 | { 0xFC00, 0xFC00, 0xBC00, 0x9C00 };
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287 | static const uint16_t f16QInfWeightOffsets[f16NumQInfWeightMasks] =
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288 | { 0x0000, 0x0000, 0x2000, 0x3000 };
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289 |
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290 | static float16_t f16RandomQInfP3( void )
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291 | {
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292 | int weightMaskNum;
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293 | union ui16_f16 uZ;
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294 |
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295 | weightMaskNum = randomN_ui8( f16NumQInfWeightMasks );
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296 | uZ.ui =
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297 | ((random_ui16() & f16QInfWeightMasks[weightMaskNum])
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298 | + f16QInfWeightOffsets[weightMaskNum])
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299 | | ((f16P2[randomN_ui8( f16NumP2 )] + f16P2[randomN_ui8( f16NumP2 )])
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300 | & 0x03FF);
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301 | return uZ.f;
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302 |
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303 | }
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304 |
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305 | static float16_t f16RandomQInfPInf( void )
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306 | {
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307 | int weightMaskNum;
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308 | union ui16_f16 uZ;
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309 |
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310 | weightMaskNum = randomN_ui8( f16NumQInfWeightMasks );
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311 | uZ.ui =
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312 | (random_ui16() & (f16QInfWeightMasks[weightMaskNum] | 0x03FF))
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313 | + f16QInfWeightOffsets[weightMaskNum];
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314 | return uZ.f;
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315 |
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316 | }
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317 |
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318 | static float16_t f16Random( void )
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319 | {
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320 |
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321 | switch ( random_ui8() & 7 ) {
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322 | case 0:
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323 | case 1:
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324 | case 2:
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325 | return f16RandomQOutP3();
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326 | case 3:
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327 | return f16RandomQOutPInf();
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328 | case 4:
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329 | case 5:
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330 | case 6:
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331 | return f16RandomQInfP3();
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332 | case 7:
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333 | return f16RandomQInfPInf();
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334 | }
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335 |
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336 | }
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337 |
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338 | static struct sequence sequenceA, sequenceB, sequenceC;
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339 | static float16_t currentA, currentB, currentC;
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340 | static int subcase;
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341 |
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342 | float16_t genCases_f16_a, genCases_f16_b, genCases_f16_c;
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343 |
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344 | void genCases_f16_a_init( void )
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345 | {
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346 |
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347 | sequenceA.expNum = 0;
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348 | sequenceA.term1Num = 0;
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349 | sequenceA.term2Num = 0;
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350 | sequenceA.done = false;
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351 | subcase = 0;
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352 | genCases_total =
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353 | (genCases_level == 1) ? 3 * f16NumQOutP1 : 2 * f16NumQOutP2;
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354 | genCases_done = false;
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355 |
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356 | }
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357 |
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358 | void genCases_f16_a_next( void )
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359 | {
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360 |
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361 | if ( genCases_level == 1 ) {
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362 | switch ( subcase ) {
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363 | case 0:
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364 | case 1:
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365 | genCases_f16_a = f16Random();
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366 | break;
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367 | case 2:
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368 | genCases_f16_a = f16NextQOutP1( &sequenceA );
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369 | genCases_done = sequenceA.done;
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370 | subcase = -1;
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371 | break;
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372 | }
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373 | } else {
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374 | switch ( subcase ) {
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375 | case 0:
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376 | genCases_f16_a = f16Random();
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377 | break;
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378 | case 1:
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379 | genCases_f16_a = f16NextQOutP2( &sequenceA );
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380 | genCases_done = sequenceA.done;
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381 | subcase = -1;
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382 | break;
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383 | }
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384 | }
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385 | ++subcase;
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386 |
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387 | }
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388 |
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389 | void genCases_f16_ab_init( void )
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390 | {
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391 |
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392 | sequenceA.expNum = 0;
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393 | sequenceA.term1Num = 0;
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394 | sequenceA.term2Num = 0;
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395 | sequenceA.done = false;
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396 | sequenceB.expNum = 0;
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397 | sequenceB.term1Num = 0;
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398 | sequenceB.term2Num = 0;
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399 | sequenceB.done = false;
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400 | subcase = 0;
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401 | if ( genCases_level == 1 ) {
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402 | genCases_total = 6 * f16NumQInP1 * f16NumQInP1;
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403 | currentA = f16NextQInP1( &sequenceA );
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404 | } else {
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405 | genCases_total = 2 * f16NumQInP2 * f16NumQInP2;
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406 | currentA = f16NextQInP2( &sequenceA );
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407 | }
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408 | genCases_done = false;
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409 |
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410 | }
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411 |
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412 | void genCases_f16_ab_next( void )
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413 | {
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414 |
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415 | if ( genCases_level == 1 ) {
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416 | switch ( subcase ) {
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417 | case 0:
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418 | if ( sequenceB.done ) {
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419 | sequenceB.done = false;
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420 | currentA = f16NextQInP1( &sequenceA );
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421 | }
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422 | currentB = f16NextQInP1( &sequenceB );
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423 | case 2:
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424 | case 4:
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425 | genCases_f16_a = f16Random();
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426 | genCases_f16_b = f16Random();
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427 | break;
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428 | case 1:
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429 | genCases_f16_a = currentA;
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430 | genCases_f16_b = f16Random();
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431 | break;
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432 | case 3:
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433 | genCases_f16_a = f16Random();
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434 | genCases_f16_b = currentB;
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435 | break;
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436 | case 5:
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437 | genCases_f16_a = currentA;
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438 | genCases_f16_b = currentB;
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439 | genCases_done = sequenceA.done & sequenceB.done;
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440 | subcase = -1;
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441 | break;
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442 | }
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443 | } else {
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444 | switch ( subcase ) {
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445 | case 0:
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446 | genCases_f16_a = f16Random();
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447 | genCases_f16_b = f16Random();
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448 | break;
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449 | case 1:
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450 | if ( sequenceB.done ) {
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451 | sequenceB.done = false;
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452 | currentA = f16NextQInP2( &sequenceA );
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453 | }
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454 | genCases_f16_a = currentA;
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455 | genCases_f16_b = f16NextQInP2( &sequenceB );
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456 | genCases_done = sequenceA.done & sequenceB.done;
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457 | subcase = -1;
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458 | break;
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459 | }
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460 | }
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461 | ++subcase;
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462 |
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463 | }
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464 |
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465 | void genCases_f16_abc_init( void )
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466 | {
|
---|
467 |
|
---|
468 | sequenceA.expNum = 0;
|
---|
469 | sequenceA.term1Num = 0;
|
---|
470 | sequenceA.term2Num = 0;
|
---|
471 | sequenceA.done = false;
|
---|
472 | sequenceB.expNum = 0;
|
---|
473 | sequenceB.term1Num = 0;
|
---|
474 | sequenceB.term2Num = 0;
|
---|
475 | sequenceB.done = false;
|
---|
476 | sequenceC.expNum = 0;
|
---|
477 | sequenceC.term1Num = 0;
|
---|
478 | sequenceC.term2Num = 0;
|
---|
479 | sequenceC.done = false;
|
---|
480 | subcase = 0;
|
---|
481 | if ( genCases_level == 1 ) {
|
---|
482 | genCases_total = 9 * f16NumQInP1 * f16NumQInP1 * f16NumQInP1;
|
---|
483 | currentA = f16NextQInP1( &sequenceA );
|
---|
484 | currentB = f16NextQInP1( &sequenceB );
|
---|
485 | } else {
|
---|
486 | genCases_total = 2 * f16NumQInP2 * f16NumQInP2 * f16NumQInP2;
|
---|
487 | currentA = f16NextQInP2( &sequenceA );
|
---|
488 | currentB = f16NextQInP2( &sequenceB );
|
---|
489 | }
|
---|
490 | genCases_done = false;
|
---|
491 |
|
---|
492 | }
|
---|
493 |
|
---|
494 | void genCases_f16_abc_next( void )
|
---|
495 | {
|
---|
496 |
|
---|
497 | if ( genCases_level == 1 ) {
|
---|
498 | switch ( subcase ) {
|
---|
499 | case 0:
|
---|
500 | if ( sequenceC.done ) {
|
---|
501 | sequenceC.done = false;
|
---|
502 | if ( sequenceB.done ) {
|
---|
503 | sequenceB.done = false;
|
---|
504 | currentA = f16NextQInP1( &sequenceA );
|
---|
505 | }
|
---|
506 | currentB = f16NextQInP1( &sequenceB );
|
---|
507 | }
|
---|
508 | currentC = f16NextQInP1( &sequenceC );
|
---|
509 | genCases_f16_a = f16Random();
|
---|
510 | genCases_f16_b = f16Random();
|
---|
511 | genCases_f16_c = currentC;
|
---|
512 | break;
|
---|
513 | case 1:
|
---|
514 | genCases_f16_a = currentA;
|
---|
515 | genCases_f16_b = currentB;
|
---|
516 | genCases_f16_c = f16Random();
|
---|
517 | break;
|
---|
518 | case 2:
|
---|
519 | genCases_f16_a = f16Random();
|
---|
520 | genCases_f16_b = f16Random();
|
---|
521 | genCases_f16_c = f16Random();
|
---|
522 | break;
|
---|
523 | case 3:
|
---|
524 | genCases_f16_a = f16Random();
|
---|
525 | genCases_f16_b = currentB;
|
---|
526 | genCases_f16_c = currentC;
|
---|
527 | break;
|
---|
528 | case 4:
|
---|
529 | genCases_f16_a = currentA;
|
---|
530 | genCases_f16_b = f16Random();
|
---|
531 | genCases_f16_c = f16Random();
|
---|
532 | break;
|
---|
533 | case 5:
|
---|
534 | genCases_f16_a = f16Random();
|
---|
535 | genCases_f16_b = currentB;
|
---|
536 | genCases_f16_c = f16Random();
|
---|
537 | break;
|
---|
538 | case 6:
|
---|
539 | genCases_f16_a = currentA;
|
---|
540 | genCases_f16_b = f16Random();
|
---|
541 | genCases_f16_c = currentC;
|
---|
542 | break;
|
---|
543 | case 7:
|
---|
544 | genCases_f16_a = f16Random();
|
---|
545 | genCases_f16_b = f16Random();
|
---|
546 | genCases_f16_c = f16Random();
|
---|
547 | break;
|
---|
548 | case 8:
|
---|
549 | genCases_f16_a = currentA;
|
---|
550 | genCases_f16_b = currentB;
|
---|
551 | genCases_f16_c = currentC;
|
---|
552 | genCases_done = sequenceA.done & sequenceB.done & sequenceC.done;
|
---|
553 | subcase = -1;
|
---|
554 | break;
|
---|
555 | }
|
---|
556 | } else {
|
---|
557 | switch ( subcase ) {
|
---|
558 | case 0:
|
---|
559 | genCases_f16_a = f16Random();
|
---|
560 | genCases_f16_b = f16Random();
|
---|
561 | genCases_f16_c = f16Random();
|
---|
562 | break;
|
---|
563 | case 1:
|
---|
564 | if ( sequenceC.done ) {
|
---|
565 | sequenceC.done = false;
|
---|
566 | if ( sequenceB.done ) {
|
---|
567 | sequenceB.done = false;
|
---|
568 | currentA = f16NextQInP2( &sequenceA );
|
---|
569 | }
|
---|
570 | currentB = f16NextQInP2( &sequenceB );
|
---|
571 | }
|
---|
572 | genCases_f16_a = currentA;
|
---|
573 | genCases_f16_b = currentB;
|
---|
574 | genCases_f16_c = f16NextQInP2( &sequenceC );
|
---|
575 | genCases_done = sequenceA.done & sequenceB.done & sequenceC.done;
|
---|
576 | subcase = -1;
|
---|
577 | break;
|
---|
578 | }
|
---|
579 | }
|
---|
580 | ++subcase;
|
---|
581 |
|
---|
582 | }
|
---|
583 |
|
---|
584 | #endif
|
---|
585 |
|
---|