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STANDARD C++ GENERIC ALGORITHMS
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[APP. E
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accumulate(p,q,x); // returns x plus the sum of the elements in the segment [p,q[; // invariant: [p,q[ is left unchanged;
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EXAMPLE E.1 Testing the accumulate() Algorithm
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int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; int sum = accumulate(a,a+10,1000); cout << "sum=" << sum << '\n'; } sum=1088
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adjacent_difference(p,q,pp); // loads the segment a[pp,pp+p-q[ with b[i] = a[i]-a[i-1]; // invariant: [p,q[ is left unchanged;
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EXAMPLE E.2 Testing the adjacent_difference() Algorithm
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int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; print(a,10); int b[10]; adjacent_difference(a,a+10,b); print(b,10); } n=10: {0,1,1,2,3,5,8,13,21,34} n=10: {0,1,0,1,1,2,3,5,8,13}
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The adjacent_difference() algorithm is the inverse of the partial_sum() algorithm (Example E.36 on page 382).
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adjacent_find(p,q); // returns the location of the first element in the segment a[p,q[ // that has the same value as its successor; // invariant: [p,q[ is left unchanged;
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EXAMPLE E.3 Testing the adjacent_find() Algorithm
int main() { int a[] = {0,1,0,1,1,1,0,1,1,0}; print(a,10); int* r = adjacent_find(a,a+10); cout << "*r=" << *r << '\n'; // this is the element a[i] cout << "r-a=" << r-a << '\n'; // this is the index i } n=10: {0,1,0,1,1,1,0,1,1,0} *r=1 r-a=3
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APP. E]
STANDARD C++ GENERIC ALGORITHMS
binary_search(p,q,x); // returns true iff x is in the segment [p,q[; // precondition: the segment [p,q) must be sorted; // invariant: [p,q[ is left unchanged;
EXAMPLE E.4 Testing the binary_search() Algorithm
int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; print(a,10); bool found = binary_search(a,a+10,21); cout << "found=" << found << '\n'; found = binary_search(a+2,a+7,21); cout << "found=" << found << '\n'; } n=10: {0,1,1,2,3,5,8,13,21,34} found=1 found=0
copy(p,q,pp); // copies the segment [p,q[ to [pp,pp+n[ where n=q-p; // invariant: [p,q[ is left unchanged;
EXAMPLE E.5 Testing the copy() Algorithm
int main() { int a[] = {100,111,122,133,144,155,166,177,188,199}; print(a,10); copy(a+7,a+10,a+2); print(a,10); int b[3]; copy(a+7,a+10,b); print(b,3); } n=10: {100,111,122,133,144,155,166,177,188,199} n=10: {100,111,177,188,199,155,166,177,188,199} n=3: {177,188,199}
copy_backward(p,q,pp); // copies the segment [p,q[ to [qq-n,qq[ where n=q-p; // invariant: [p,q[ is left unchanged;
EXAMPLE E.6 Testing the copy_backward() Algorithm
int main() { int a[] = {100,111,122,133,144,155,166,177,188,199}; print(a,10); copy_backward(a+7,a+10,a+5); print(a,10); int b[3]; copy_backward(a+7,a+10,b+3);
STANDARD C++ GENERIC ALGORITHMS
[APP. E
print(b,3); } n=10: {100,111,122,133,144,155,166,177,188,199} n=10: {100,111,177,188,199,155,166,177,188,199} n=3: {177,188,199}
count(p,q,x); // returns the number of occurrences of x in the segment [p,q[; // invariant: [p,q[ is left unchanged;
EXAMPLE E.7 Testing the count() Algorithm
int main() { int a[] = {0,1,0,1,1,1,0,1,1,0}; print(a,10); int n = count(a,a+10,1); cout << "n=" << n << '\n'; } n=10: {0,1,0,1,1,1,0,1,1,0} n=6
count_if(p,q,P()); // returns the number of occurrences where P(x) in the segment [p,q[; // invariant: [p,q[ is left unchanged;
EXAMPLE E.8 Testing the count_if() Algorithm
int main() { int a[] = {0,1,0,1,1,1,0,1,1,0}; print(a,10); int n = count_if(a,a+10,Odd()); cout << "n=" << n << '\n'; } n=10: {0,1,0,1,1,1,0,1,1,0} n=6
equal(p,q,pp); // returns true iff the segment [p,q) matches [pp,pp+n[, where n = q-p; // invariant: [p,q[ and [pp,qq+n[ are left unchanged;
EXAMPLE E.9 Testing the equal() Algorithm
int main() { int a[] = {0,1,0,1,1,1,0,1,1,0}; int b[] = {0,1,0,0,1,1,0,1,0,0}; print(a,10); print(b,10); cout << "equal(a,a+10,b)=" << equal(a,a+10,b) << '\n'; cout << "equal(a+1,a+4,a+5)=" << equal(a+1,a+4,a+5) << '\n';
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APP. E]
STANDARD C++ GENERIC ALGORITHMS
} n=10: {0,1,0,1,1,1,0,1,1,0} n=10: {0,1,0,0,1,1,0,1,0,0} equal(a,a+10,b)=0 equal(a+1,a+4,a+5)=1
fill(p,q,x); // replaces each element in the segment [p,q[ with x;
EXAMPLE E.10 Testing the fill() Algorithm
int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; print(a,10); fill(a+6,a+9,0); print(a,10); } n=10: {0,1,1,2,3,5,8,13,21,34} n=10: {0,1,1,2,3,5,0,0,0,34}
fill_n(p,n,x); // replaces each element in the segment [p,p+n[ with x;
EXAMPLE E.11 Testing the fill_n() Algorithm
int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; print(a,10); fill_n(a+6,3,0); print(a,10); } n=10: {0,1,1,2,3,5,8,13,21,34} n=10: {0,1,1,2,3,5,0,0,0,34}
find(p,q,x); // returns the first location of x in the segment [p,q[; // invariant: [p,q[ is left unchanged;
EXAMPLE E.12 Testing the find() Algorithm
int main() { int a[] = {0,1,1,2,3,5,8,13,21,34}; print(a,10); int* r = find(a,a+10,13); cout << "*r=" << *r << '\n'; // this cout << "r-a=" << r-a << '\n'; // this r = find(a,a+6,13); cout << "*r=" << *r << '\n'; // this cout << "r-a=" << r-a << '\n'; // this
is the element a[i] is the index i is the element a[i] is the index i
STANDARD C++ GENERIC ALGORITHMS
[APP. E
} n=10: {0,1,1,2,3,5,8,13,21,34} *r=13 r-a=7 *r=8 r-a=6
find_end(p,q,pp,qq); // returns the location of the last occurrence of the the segment [pp,qq[ // within the segment [p,q[; // invariant: [p,q[ and [pp,qq[ are left unchanged;
EXAMPLE E.13 Testing the find_end() Algorithm
int main() { int a[] = {0,1,0,1,1,1,0,1,1,0}; int b[] = {1,0,1,1,1}; int* r = find_end(a,a+10,b,b+5); cout << "*r=" << *r << '\n'; cout << "r-a=" << r-a << '\n'; r = find_end(a,a+10,b,b+4); cout << "*r=" << *r << '\n'; cout << "r-a=" << r-a << '\n'; } *r=1 r-a=1 *r=1 r-a=5
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