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find_first_of(p,q,pp,qq); // returns the position in [p,q[ of the first element found that is also in // [pp,qq[; // invariant: [p,q[ and [pp,qq[ are left unchanged;
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EXAMPLE E.14 Testing the find_first_of() Algorithm
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int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; int b[] = {6,7,8,9,10,11,12,13,14,15}; int* r = find_first_of(a,a+10,b,b+10); cout << "*r=" << *r << '\n'; // this is the element a[i] cout << "r-a=" << r-a << '\n'; // this is the index i } *r=8 r-a=6
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find_if(p,q,P()); // returns the first location of where P(x) in the segment [p,q[; // invariant: [p,q[ is left unchanged;
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APP. E]
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EXAMPLE E.15 Testing the find_if() Algorithm
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int main() { int a[] = {2,4,8,16,32,64,128,256,333,512}; int* r = find_if(a,a+10,Odd()); cout << "*r=" << *r << '\n'; // this is the cout << "r-a=" << r-a << '\n'; // this is the r = find_if(a,a+5,Odd()); cout << "*r=" << *r << '\n'; // this is the cout << "r-a=" << r-a << '\n'; // this is the } *r=333 r-a=8 *r=64 r-a=5
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element a[i] index i element a[i] index i
for_each(p,q,f); // applies the function f(x) to each x in the segment [p,q[;
EXAMPLE E.16 Testing the for_each() Algorithm
void print(int); int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; for_each(a,a+10,print); } void print(int x) { cout << x << " "; } 0 1 1 2 3 5 8 13 21 34
generate(p,q,f); // assigns to [p,q[ the outputs of successive calls to f(x);
EXAMPLE E.17 Testing the generate() Algorithm
long fibonacci(); int main() { int a[10]={0}; generate(a,a+10,fibonacci); print(a,10); } long fibonacci() { static int f1=0, f2=1; int f0=f1; f1 = f2;
STANDARD C++ GENERIC ALGORITHMS
[APP. E
f2 += f0; return f0; } n=10: {0,1,1,2,3,5,8,13,21,34}
generate_n(p,n,f); // assigns the outputs of successive calls f(x) to each x in [p,p+n[;
EXAMPLE E.18 Testing the generate_n() Algorithm
long fibonacci(); int main() { int a[10]={0}; generate_n(a,10,fibonacci); print(a,10); } long fibonacci() { static int f1=0, f2=1; int f0=f1; f1 = f2; f2 += f0; return f0; } n=10: {0,1,1,2,3,5,8,13,21,34}
includes(p,q,pp,qq); // returns true iff every element of [pp,qq[ is found in [p,q[; // precondition: both segments must be sorted; // invariant: [p,q[ and [pp,qq[ are left unchanged;
EXAMPLE E.19 Testing the includes() Algorithm
int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; int b[] = {0,1,2,3,4}; bool found = includes(a,a+10,b,b+5); cout << "found=" << found << '\n'; found = includes(a,a+10,b,b+4); cout << "found=" << found << '\n'; } found=0 found=1
inner_product(p,q,pp,x) // returns the sum of x and the inner product of [p,q[ with [pp,pp+n[, // where n = q-p; // invariant: [p,q[ and [pp,qq[ are left unchanged;
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APP. E]
STANDARD C++ GENERIC ALGORITHMS
EXAMPLE E.20 Testing the inner_product() Algorithm
int main() { int a[] = {1,3,5,7,9}; int b[] = {4,3,2,1,0}; int dot = inner_product(a,a+4,b,1000); cout << "dot=" << dot << '\n'; } sum=1030
inplace_merge(p,r,q); // merges the segments [p,r[ and [r,q[; // precondition: the two segments must be contiguous and sorted; // postcondition: the segment [p,r[ is sorted;
EXAMPLE E.21 Testing the inplace_merge() Algorithm
int main() { int a[] = {22,55,66,88,11,33,44,77,99}; print(a,9); inplace_merge(a,a+4,a+9); print(a,9); } n=9: {22,55,66,88,11,33,44,77,99} n=9: {11,22,33,44,55,66,77,88,99}
iter_swap(p,q); // swaps the elements *p and *q;
EXAMPLE E.22 Testing the iter_swap() Algorithm
int main() { int a[] = {11,22,33,44,55,66,77,88,99}; int b[] = {10,20,30,40,50,60,70,80,90}; print(a,9); print(b,9); iter_swap(a+4,b+7); print(a,9); print(b,9); } n=9: {11,22,33,44,55,66,77,88,99} n=9: {10,20,30,40,50,60,70,80,90} n=9: {11,22,33,44,80,66,77,88,99} n=9: {10,20,30,40,50,60,70,55,90}
lexicographical_compare(p,q,pp,qq); // compares the two segments [pp,qq[ and [p,q[ lexicographically; // returns true iff the first precedes the second; // invariant: [p,q[ and [pp,qq[ are left unchanged;
STANDARD C++ GENERIC ALGORITHMS
[APP. E
EXAMPLE E.23 Testing the lexicographical_compare() Algorithm
void test(char*,int,char*,int); int main() { char* s1="COMPUTER"; char* s2="COMPUTABLE"; char* s3="COMPUTE"; test(s1,3,s2,3); test(s1,8,s2,10); test(s1,8,s3,7); test(s2,10,s3,7); test(s1,7,s3,7); } char* sub(char*,int); void test(char* s1, int n1, char* s2, int n2) { bool lt=lexicographical_compare(s1,s1+n1,s2,s2+n2); bool gt=lexicographical_compare(s2,s2+n2,s1,s1+n1); if (lt) cout << sub(s1,n1) << " < " << sub(s2,n2) << "\n"; else if (gt) cout << sub(s1,n1) << " > " << sub(s2,n2) << "\n"; else cout << sub(s1,n1) << " == " << sub(s2,n2) << "\n"; } char* sub(char* s, int n) { char* buffer = new char(n+1); strncpy(buffer,s,n); buffer[n] = 0; return buffer; } COM == COM COMPUTER > COMPUTABLE COMPUTER > COMPUTE COMPUTABLE < COMPUTE COMPUTE == COMPUTE
lower_bound(p,q,x); // returns the position of the first occurrence of x in [p,q[; // precondition: the segment must be sorted; // invariant: [p,q[ is left unchanged;
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