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/ / Read an unlimited number of ints with no attempts at error / / recovery; fill the vector parameter with the data; its size / / after the return tells how many items were read

int itemsRead = 0; int inputVal; cout << "Enter any number of integers: while( cin >> inputVal )

256(PI . P3)(P2 . P4)'

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The test in Section 3.8 indicates that the variables of sunlight, soil moisture, and air temperature contain significant explanatory information about vitamin B2 concentration in turnip greens. But maybe most of this information is contained in just one or two of the three variables. A test of f33 = 0 is a test of whether most of the information is in sunlight and soil moisture (and its square) so that, given this information, only an insignificant amount of additional information is in the air temperature. A Test Based on a Comparison of Models. Testing f33 = 0 is, if we interchange the indices 3 and 4, a special case of testing f3 q + I = ... = f3 p = 0 in which p = 4 and q = 3. Therefore, according to Section 3.9, a

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if( itemsRead == arraysize( ) ) arrayresize( arraysize( ) * 2 + 1 array[ itemsRead++ ] = inputVal;

int main(

(12.29)

vector<int> array; getInts( array ) ; for( int i = 0; i < arraysize( cout < < array[ i ] << endl; return 0;

of it Thus all changes in the formal parameter are reflected in the actual argument We discuss reference parameters in more detail in Section 15 At the start of getrnts, itemsRead is set to 0We repeatedly read new items at line 14 If the array is full, as indicated by a successful test at line 16, then the array is expanded at line 17 We resize to roughly twice the size of the old We add 1 so that the initial doubling converts an array of 0 size to an array of size 1 At line 18 the actual input item is assigned to the array, and the number of items read is incremented At line 20 we resize the array to match the number of items that were read An alternative is to have itemsRead be an additional reference parameter that is eventually set to the new array size When the input fails (for whatever reason), we merely return The main routine calls getInts,passing a vectorThe initial size of this vector happens to be 0

Muon Decay (12.30)

6- 2

binary trie A data structure in which a left branch represents 0 and a right branch represents 1 The path to a node indicates its representation (p 440) compression The act of reducing the number of bits required for data representation, which actually has two phases: the encoding phase (compression) and the decoding phase (uncompression) (p 440) cross-reference generator A program that lists identifiers and their line numbers It is a common application because it is similar to creating an index (p 461) full tree A tree whose nodes either are leaves or have two children (P 441) Huffman's algorithm An algorithm that constructs an optimal prefix code by repeatedly merging the two minimum weight trees (p 442) prefix code Code in which no character code is a prefix of another character code This condition is guaranteed in a trie if the characters are only in leaves A prefix code can be decoded unambiguously (p 441)

1 When working with character I/O, you often need to use an i n t to store the characters because of the additional EOF symbol There are several other tricky coding issues For instance, when reading an input stream a second time, you must clear the EOF error

2 Using too much memory to store the compression table is a common mistake Doing so limits the amount of compression that can be achieved

Muon decay, is the model reaction for weak decays. The particle four-momenta are defined in (12.30), and the Feynman diagram is shown in Fig. 12.5. According to the Feynman rules, it must be drawn using only particle lines; and so the outgoing lie is shown as an incoming Pe The invariant amplitude for muon decay is

hzipcpp Contains the source for the Huffman coding compression and uncompression program Xrefcpp Contains the source for the cross-reference generator

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