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< div class = "headertitle" > < div class = "title" > exponential_search.c File Reference< / div > < / div >
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< p > < a href = "https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Search%20Algorithms/Exponential%20Search.md" target = "_blank" > Exponential Search< / a >
< a href = "#details" > More...< / a > < / p >
< div class = "textblock" > < code > #include < assert.h> < / code > < br / >
< code > #include < inttypes.h> < / code > < br / >
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Include dependency graph for exponential_search.c:< / div >
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Macros< / h2 > < / td > < / tr >
< tr class = "memitem:aa5e9be47d76a4e1865914bcb7a2a7479" > < td class = "memItemLeft" align = "right" valign = "top" > < a id = "aa5e9be47d76a4e1865914bcb7a2a7479" name = "aa5e9be47d76a4e1865914bcb7a2a7479" > < / a >
#define  < / td > < td class = "memItemRight" valign = "bottom" > < b > ELEMENT< / b >       -10< / td > < / tr >
< tr class = "memdesc:aa5e9be47d76a4e1865914bcb7a2a7479" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > for assert for int64_t, uint16_t < br / > < / td > < / tr >
< tr class = "separator:aa5e9be47d76a4e1865914bcb7a2a7479" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
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Functions< / h2 > < / td > < / tr >
< tr class = "memitem:aae97ef76c065e91c188f1f8c8076869a" > < td class = "memItemLeft" align = "right" valign = "top" > int64_t  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > binary_search< / a > (const int64_t *arr, const uint16_t l_index, const uint16_t r_index, const int64_t n)< / td > < / tr >
< tr class = "memdesc:aae97ef76c065e91c188f1f8c8076869a" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > used to perform the binary search over the given array < a href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > More...< / a > < br / > < / td > < / tr >
< tr class = "separator:aae97ef76c065e91c188f1f8c8076869a" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:a82d4de0907b9601a376febf50955bacd" > < td class = "memItemLeft" align = "right" valign = "top" > int64_t  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (const int64_t *arr, const uint16_t length, const int64_t n)< / td > < / tr >
< tr class = "memdesc:a82d4de0907b9601a376febf50955bacd" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > used to perform the exponential search over the given array < a href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > More...< / a > < br / > < / td > < / tr >
< tr class = "separator:a82d4de0907b9601a376febf50955bacd" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:aa8dca7b867074164d5f45b0f3851269d" > < td class = "memItemLeft" align = "right" valign = "top" > static void  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "../../da/d6c/exponential__search_8c.html#aa8dca7b867074164d5f45b0f3851269d" > test< / a > ()< / td > < / tr >
< tr class = "memdesc:aa8dca7b867074164d5f45b0f3851269d" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > used to run the self-test implementations < a href = "../../da/d6c/exponential__search_8c.html#aa8dca7b867074164d5f45b0f3851269d" > More...< / a > < br / > < / td > < / tr >
< tr class = "separator:aa8dca7b867074164d5f45b0f3851269d" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< tr class = "memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" > < td class = "memItemLeft" align = "right" valign = "top" > int  < / td > < td class = "memItemRight" valign = "bottom" > < a class = "el" href = "../../da/d6c/exponential__search_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4" > main< / a > ()< / td > < / tr >
< tr class = "memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4" > < td class = "mdescLeft" >   < / td > < td class = "mdescRight" > Main function. < a href = "../../da/d6c/exponential__search_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4" > More...< / a > < br / > < / td > < / tr >
< tr class = "separator:ae66f6b31b5ad750f1fe042a706a4e3d4" > < td class = "memSeparator" colspan = "2" >   < / td > < / tr >
< / table >
< a name = "details" id = "details" > < / a > < h2 class = "groupheader" > Detailed Description< / h2 >
< div class = "textblock" > < p > < a href = "https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Search%20Algorithms/Exponential%20Search.md" target = "_blank" > Exponential Search< / a > < / p >
< dl class = "section author" > < dt > Author< / dt > < dd > < a href = "https://github.com/faridevnz" target = "_blank" > Alessio Farinelli< / a > < / dd > < / dl >
< / div > < h2 class = "groupheader" > Function Documentation< / h2 >
< a id = "aae97ef76c065e91c188f1f8c8076869a" name = "aae97ef76c065e91c188f1f8c8076869a" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#aae97ef76c065e91c188f1f8c8076869a" > ◆ < / a > < / span > binary_search()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > int64_t binary_search < / td >
< td > (< / td >
< td class = "paramtype" > const int64_t *  < / td >
< td class = "paramname" > < em > arr< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > const uint16_t  < / td >
< td class = "paramname" > < em > l_index< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > const uint16_t  < / td >
< td class = "paramname" > < em > r_index< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > const int64_t  < / td >
< td class = "paramname" > < em > n< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > used to perform the binary search over the given array < / p >
< p > Function: binary_search.< / p >
< p > algorithm that search the index of the given item< / p >
< p > recursive function that search the given element in < / p >
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< h2 > < a class = "anchor" id = "autotoc_md74" > < / a >
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the array using the < a href="https://github.com/TheAlgorithms/Algorithms-Explanation/blob/master/en/Search%20Algorithms/Binary%20Search.md" target="_blank" > Binary Search< /a> < / h2 >
< dl class = "params" > < dt > Parameters< / dt > < dd >
< table class = "params" >
< tr > < td class = "paramname" > arr< / td > < td > array where search the element < / td > < / tr >
< tr > < td class = "paramname" > l_index< / td > < td > start index of the array (arr) to apply the algorithm < / td > < / tr >
< tr > < td class = "paramname" > r_index< / td > < td > end index of the array (arr) to apply the algorithm < / td > < / tr >
< tr > < td class = "paramname" > n< / td > < td > element to find in the array (arr)< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section return" > < dt > Returns< / dt > < dd > the index of the element (n) in the array (arr) < / dd >
< dd >
-1 if the n element wasn't found < / dd > < / dl >
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< div class = "fragment" > < div class = "line" > < span class = "lineno" > 56< / span > {< / div >
< div class = "line" > < span class = "lineno" > 57< / span > < span class = "comment" > // calculate the middle index of the array< / span > < / div >
< div class = "line" > < span class = "lineno" > 58< / span > uint16_t middle_index = l_index + ( r_index - l_index ) / 2;< / div >
< div class = "line" > < span class = "lineno" > 59< / span > < span class = "comment" > // base cases< / span > < / div >
< div class = "line" > < span class = "lineno" > 60< / span > < span class = "keywordflow" > if< / span > ( l_index > r_index ) { < span class = "keywordflow" > return< / span > -1; }< / div >
< div class = "line" > < span class = "lineno" > 61< / span > < span class = "keywordflow" > if< / span > ( arr[middle_index] == n ) { < span class = "keywordflow" > return< / span > middle_index; }< / div >
< div class = "line" > < span class = "lineno" > 62< / span > < span class = "comment" > // recursion< / span > < / div >
< div class = "line" > < span class = "lineno" > 63< / span > < span class = "keywordflow" > if< / span > ( arr[middle_index] > n ) { < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > binary_search< / a > (arr, l_index, middle_index-1, n); } < span class = "comment" > // left< / span > < / div >
< div class = "line" > < span class = "lineno" > 64< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > binary_search< / a > (arr, middle_index+1, r_index, n); < span class = "comment" > // right< / span > < / div >
< div class = "line" > < span class = "lineno" > 65< / span > }< / div >
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< div class = "ttc" id = "aexponential__search_8c_html_aae97ef76c065e91c188f1f8c8076869a" > < div class = "ttname" > < a href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > binary_search< / a > < / div > < div class = "ttdeci" > int64_t binary_search(const int64_t *arr, const uint16_t l_index, const uint16_t r_index, const int64_t n)< / div > < div class = "ttdoc" > used to perform the binary search over the given array< / div > < div class = "ttdef" > < b > Definition:< / b > exponential_search.c:55< / div > < / div >
< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
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< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../da/d6c/exponential__search_8c_aae97ef76c065e91c188f1f8c8076869a_cgraph.svg" width = "114" height = "62" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
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< / div >
< / div >
< / div >
< / div >
< a id = "a82d4de0907b9601a376febf50955bacd" name = "a82d4de0907b9601a376febf50955bacd" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#a82d4de0907b9601a376febf50955bacd" > ◆ < / a > < / span > exponential_search()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > int64_t exponential_search < / td >
< td > (< / td >
< td class = "paramtype" > const int64_t *  < / td >
< td class = "paramname" > < em > arr< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > const uint16_t  < / td >
< td class = "paramname" > < em > length< / em > , < / td >
< / tr >
< tr >
< td class = "paramkey" > < / td >
< td > < / td >
< td class = "paramtype" > const int64_t  < / td >
< td class = "paramname" > < em > n< / em >   < / td >
< / tr >
< tr >
< td > < / td >
< td > )< / td >
< td > < / td > < td > < / td >
< / tr >
< / table >
< / div > < div class = "memdoc" >
< p > used to perform the exponential search over the given array < / p >
< p > Function: exponential_search.< / p >
< p > algorithm that search the index of the given item< / p >
< p > recursive function that take an array and quickly find the range < / p >
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< h2 > < a class = "anchor" id = "autotoc_md73" > < / a >
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where to apply the binary search algorithm to find the given element< / h2 >
< dl class = "params" > < dt > Parameters< / dt > < dd >
< table class = "params" >
< tr > < td class = "paramname" > arr< / td > < td > array where search the element < / td > < / tr >
< tr > < td class = "paramname" > length< / td > < td > the total length of the given array (arr) < / td > < / tr >
< tr > < td class = "paramname" > n< / td > < td > element to find in the array (arr)< / td > < / tr >
< / table >
< / dd >
< / dl >
< dl class = "section return" > < dt > Returns< / dt > < dd > the index of the element (n) in the array (arr) < / dd >
< dd >
-1 if the element wasn't found < / dd > < / dl >
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< div class = "fragment" > < div class = "line" > < span class = "lineno" > 29< / span > {< / div >
< div class = "line" > < span class = "lineno" > 30< / span > < span class = "keywordflow" > if< / span > ( length == 0 ) { < span class = "keywordflow" > return< / span > -1; }< / div >
< div class = "line" > < span class = "lineno" > 31< / span > < span class = "comment" > // find the upperbound< / span > < / div >
< div class = "line" > < span class = "lineno" > 32< / span > uint32_t upper_bound = 1;< / div >
< div class = "line" > < span class = "lineno" > 33< / span > < span class = "keywordflow" > while< / span > ( upper_bound < = length & & arr[upper_bound] < n ) { upper_bound = upper_bound * 2; }< / div >
< div class = "line" > < span class = "lineno" > 34< / span > < span class = "comment" > // calculate the range ( between lower_boud and upper_bound )< / span > < / div >
< div class = "line" > < span class = "lineno" > 35< / span > uint16_t lower_bound = upper_bound/2;< / div >
< div class = "line" > < span class = "lineno" > 36< / span > < span class = "keywordflow" > if< / span > ( upper_bound > length ) { upper_bound = length; }< / div >
< div class = "line" > < span class = "lineno" > 37< / span > < span class = "comment" > // apply the binary search in the range< / span > < / div >
< div class = "line" > < span class = "lineno" > 38< / span > < span class = "keywordflow" > return< / span > < a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#aae97ef76c065e91c188f1f8c8076869a" > binary_search< / a > (arr, lower_bound, upper_bound, n);< / div >
< div class = "line" > < span class = "lineno" > 39< / span > }< / div >
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< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
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< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../da/d6c/exponential__search_8c_a82d4de0907b9601a376febf50955bacd_cgraph.svg" width = "296" height = "62" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
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< / div >
< / div >
< / div >
< / div >
< a id = "ae66f6b31b5ad750f1fe042a706a4e3d4" name = "ae66f6b31b5ad750f1fe042a706a4e3d4" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#ae66f6b31b5ad750f1fe042a706a4e3d4" > ◆ < / a > < / span > main()< / h2 >
< div class = "memitem" >
< div class = "memproto" >
< table class = "memname" >
< tr >
< td class = "memname" > int main < / td >
< td > (< / td >
< td class = "paramtype" > void  < / td >
< td class = "paramname" > < / td > < td > )< / td >
< td > < / td >
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< / div > < div class = "memdoc" >
< p > Main function. < / p >
< dl class = "section return" > < dt > Returns< / dt > < dd > 0 on exit < / dd > < / dl >
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< div class = "fragment" > < div class = "line" > < span class = "lineno" > 72< / span > {< / div >
< div class = "line" > < span class = "lineno" > 73< / span > < a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#aa8dca7b867074164d5f45b0f3851269d" > test< / a > (); < span class = "comment" > // run self-test implementations< / span > < / div >
< div class = "line" > < span class = "lineno" > 74< / span > < span class = "keywordflow" > return< / span > 0;< / div >
< div class = "line" > < span class = "lineno" > 75< / span > }< / div >
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< div class = "ttc" id = "aexponential__search_8c_html_aa8dca7b867074164d5f45b0f3851269d" > < div class = "ttname" > < a href = "../../da/d6c/exponential__search_8c.html#aa8dca7b867074164d5f45b0f3851269d" > test< / a > < / div > < div class = "ttdeci" > static void test()< / div > < div class = "ttdoc" > used to run the self-test implementations< / div > < div class = "ttdef" > < b > Definition:< / b > exponential_search.c:81< / div > < / div >
< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
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< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../da/d6c/exponential__search_8c_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width = "487" height = "62" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
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< / div >
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< a id = "aa8dca7b867074164d5f45b0f3851269d" name = "aa8dca7b867074164d5f45b0f3851269d" > < / a >
< h2 class = "memtitle" > < span class = "permalink" > < a href = "#aa8dca7b867074164d5f45b0f3851269d" > ◆ < / a > < / span > test()< / h2 >
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< td class = "memname" > static void test < / td >
< td > (< / td >
< td class = "paramtype" > void  < / td >
< td class = "paramname" > < / td > < td > )< / td >
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< span class = "mlabels" > < span class = "mlabel" > static< / span > < / span > < / td >
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< / div > < div class = "memdoc" >
< p > used to run the self-test implementations < / p >
< p > Self-test implementations.< / p >
< dl class = "section return" > < dt > Returns< / dt > < dd > void < / dd > < / dl >
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< div class = "fragment" > < div class = "line" > < span class = "lineno" > 82< / span > {< / div >
< div class = "line" > < span class = "lineno" > 83< / span > < span class = "comment" > // empty array< / span > < / div >
< div class = "line" > < span class = "lineno" > 84< / span > int64_t arr_empty[] = {};< / div >
< div class = "line" > < span class = "lineno" > 85< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_empty, 0, 10) == -1);< / div >
< div class = "line" > < span class = "lineno" > 86< / span > < span class = "comment" > // elent not found< / span > < / div >
< div class = "line" > < span class = "lineno" > 87< / span > int64_t arr_found[] = {1, 2, 3};< / div >
< div class = "line" > < span class = "lineno" > 88< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_found, 3, 10) == -1);< / div >
< div class = "line" > < span class = "lineno" > 89< / span > < span class = "comment" > // element found in an array of length 1< / span > < / div >
< div class = "line" > < span class = "lineno" > 90< / span > int64_t arr_one[] = {1};< / div >
< div class = "line" > < span class = "lineno" > 91< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_found, 1, 1) == 0);< / div >
< div class = "line" > < span class = "lineno" > 92< / span > < span class = "comment" > // find the first element in an array of length 2< / span > < / div >
< div class = "line" > < span class = "lineno" > 93< / span > int64_t arr_first_2[] = {1, 2};< / div >
< div class = "line" > < span class = "lineno" > 94< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_first_2, 2, 1) == 0);< / div >
< div class = "line" > < span class = "lineno" > 95< / span > < span class = "comment" > // find the last element in an array of length 2< / span > < / div >
< div class = "line" > < span class = "lineno" > 96< / span > int64_t arr_last_2[] = {1, 2};< / div >
< div class = "line" > < span class = "lineno" > 97< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_last_2, 2, 2) == 1);< / div >
< div class = "line" > < span class = "lineno" > 98< / span > < span class = "comment" > // find the first element in an array of length n< / span > < / div >
< div class = "line" > < span class = "lineno" > 99< / span > int64_t arr_first_n[] = {-1, 2, 4, 6, 8};< / div >
< div class = "line" > < span class = "lineno" > 100< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_first_n, 5, -1) == 0);< / div >
< div class = "line" > < span class = "lineno" > 101< / span > < span class = "comment" > // find the last element in an array of length n< / span > < / div >
< div class = "line" > < span class = "lineno" > 102< / span > int64_t arr_last_n[] = {-1, 2, 4, 6, 8};< / div >
< div class = "line" > < span class = "lineno" > 103< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_last_n, 5, 8) == 4);< / div >
< div class = "line" > < span class = "lineno" > 104< / span > < span class = "comment" > // find an element in an array of length n< / span > < / div >
< div class = "line" > < span class = "lineno" > 105< / span > int64_t arr_middle[] = {-1, 2, 4, 6, 8};< / div >
< div class = "line" > < span class = "lineno" > 106< / span > assert(< a class = "code hl_function" href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > (arr_middle, 5, 6) == 3);< / div >
< div class = "line" > < span class = "lineno" > 107< / span > }< / div >
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< div class = "ttc" id = "aexponential__search_8c_html_a82d4de0907b9601a376febf50955bacd" > < div class = "ttname" > < a href = "../../da/d6c/exponential__search_8c.html#a82d4de0907b9601a376febf50955bacd" > exponential_search< / a > < / div > < div class = "ttdeci" > int64_t exponential_search(const int64_t *arr, const uint16_t length, const int64_t n)< / div > < div class = "ttdoc" > used to perform the exponential search over the given array< / div > < div class = "ttdef" > < b > Definition:< / b > exponential_search.c:28< / div > < / div >
< / div > <!-- fragment --> < div class = "dynheader" >
Here is the call graph for this function:< / div >
< div class = "dyncontent" >
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< div class = "center" > < iframe scrolling = "no" frameborder = "0" src = "../../da/d6c/exponential__search_8c_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width = "388" height = "62" > < p > < b > This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.< / b > < / p > < / iframe >
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< li class = "navelem" > < a class = "el" href = "../../dir_da574daf9ce9c05b45556bdc871ed1e3.html" > searching< / a > < / li > < li class = "navelem" > < a class = "el" href = "../../da/d6c/exponential__search_8c.html" > exponential_search.c< / a > < / li >
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