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lines changed Original file line number Diff line number Diff line change 2525 " - `x`:浮点值。\n " ,
2626 " - `expptr`:指向存储的整数指数的指针。\n " ,
2727 " \n " ,
28- " {func}`frexp` 返回尾数。 如果 `x` 为 `0`,则该函数将返回 `0` 表示尾数和指数。 `NULL` 如果是 `expptr `,则调用无效的参数处理程序,如参数验证中所述。 如果允许执行继续,则该函数将 `errno` 设置为 `EINVAL` 并返回 `0`。\n " ,
28+ " {func}`frexp` 返回尾数。 如果 `x` 为 `0`,则该函数将返回 `0` 表示尾数和指数。如果 `expptr` 是 `NULL `,则调用无效的参数处理程序,如参数验证中所述。 如果允许执行继续,则该函数将 `errno` 设置为 `EINVAL` 并返回 `0`。\n " ,
2929 " \n " ,
3030 " ```{note}\n " ,
3131 " `frexp` 函数将浮点值(`x`)分解为尾数(mantissa `m`)和指数(exponent,`n`),使绝对值 `m` 大于或等于 `0.5` 且小于 `1.0`,并且 $x = m * 2^n$。整数指数 `n` 存储在由 `expptr` 指向的位置。\n " ,
6363 ]
6464 },
6565 {
66- "cell_type" : " code" ,
67- "execution_count" : 7 ,
66+ "cell_type" : " markdown" ,
6867 "metadata" : {
6968 "vscode" : {
7069 "languageId" : " c++"
7170 }
7271 },
73- "outputs" : [],
7472 "source" : [
75- " double x = 2.302585093;\n " ,
76- " double y;\n " ,
77- " \n " ,
78- " y = exp(x);"
73+ " 将双精度有效数字转换为整数有效数字,即将小数点放在第 31 位和第 30 位之间。这是通过将双精度值乘以 $2^{31}$,然后将其转换为 int 来实现的。"
7974 ]
8075 },
8176 {
8277 "cell_type" : " code" ,
83- "execution_count" : 10 ,
78+ "execution_count" : 3 ,
8479 "metadata" : {
8580 "vscode" : {
8681 "languageId" : " c++"
8782 }
8883 },
8984 "outputs" : [],
9085 "source" : [
91- " double sigmoid(double x) {\n " ,
92- " return 1/(1+exp(-x));\n " ,
93- " }"
94- ]
95- },
96- {
97- "cell_type" : " code" ,
98- "execution_count" : 11 ,
99- "metadata" : {
100- "vscode" : {
101- "languageId" : " c++"
102- }
103- },
104- "outputs" : [
105- {
106- "data" : {
107- "text/plain" : [
108- " 0.73105858"
109- ]
110- },
111- "execution_count" : 11 ,
112- "metadata" : {},
113- "output_type" : " execute_result"
114- }
115- ],
116- "source" : [
117- " sigmoid(1)"
118- ]
119- },
120- {
121- "cell_type" : " code" ,
122- "execution_count" : 12 ,
123- "metadata" : {
124- "vscode" : {
125- "languageId" : " c++"
126- }
127- },
128- "outputs" : [
129- {
130- "data" : {
131- "text/plain" : [
132- " 0.50000000"
133- ]
134- },
135- "execution_count" : 12 ,
136- "metadata" : {},
137- "output_type" : " execute_result"
138- }
139- ],
140- "source" : [
141- " sigmoid(0)"
142- ]
143- },
144- {
145- "cell_type" : " code" ,
146- "execution_count" : 13 ,
147- "metadata" : {
148- "vscode" : {
149- "languageId" : " c++"
150- }
151- },
152- "outputs" : [
153- {
154- "data" : {
155- "text/plain" : [
156- " 2.0000000"
157- ]
158- },
159- "execution_count" : 13 ,
160- "metadata" : {},
161- "output_type" : " execute_result"
162- }
163- ],
164- "source" : [
165- " 1/(0.5)"
166- ]
167- },
168- {
169- "cell_type" : " code" ,
170- "execution_count" : 14 ,
171- "metadata" : {
172- "vscode" : {
173- "languageId" : " c++"
174- }
175- },
176- "outputs" : [
177- {
178- "data" : {
179- "text/plain" : [
180- " 0"
181- ]
182- },
183- "execution_count" : 14 ,
184- "metadata" : {},
185- "output_type" : " execute_result"
186- }
187- ],
188- "source" : [
189- " 1/2"
190- ]
191- },
192- {
193- "cell_type" : " code" ,
194- "execution_count" : 16 ,
195- "metadata" : {
196- "vscode" : {
197- "languageId" : " c++"
198- }
199- },
200- "outputs" : [
201- {
202- "data" : {
203- "text/plain" : [
204- " 50.000000"
205- ]
206- },
207- "execution_count" : 16 ,
208- "metadata" : {},
209- "output_type" : " execute_result"
210- }
211- ],
212- "source" : [
213- " 0.5 * 100"
86+ " significand_d = std::round(significand_d * (1ll << 31));"
21487 ]
21588 },
21689 {
Original file line number Diff line number Diff line change 1+ double x = 2.302585093 ;
2+ double y;
3+
4+ y = exp(x);
5+
6+ double sigmoid (double x) {
7+ return 1 /(1 +exp (-x));
8+ }
9+
10+ sigmoid (1 )
Original file line number Diff line number Diff line change 1414 {
1515 "cell_type" : " code" ,
1616 "execution_count" : 1 ,
17- "metadata" : {},
17+ "metadata" : {
18+ "vscode" : {
19+ "languageId" : " c++"
20+ }
21+ },
1822 "outputs" : [],
1923 "source" : [
2024 " #ifndef HEADER_H\n " ,
4549 "codemirror_mode" : " text/x-c++src" ,
4650 "file_extension" : " .cpp" ,
4751 "mimetype" : " text/x-c++src" ,
48- "name" : " c++ " ,
52+ "name" : " C++14 " ,
4953 "version" : " 14"
5054 }
5155 },
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