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/* |
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* Acme::ExtUtils::XSOne::Test::Calculator::Scientific - Scientific/advanced operations |
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*/ |
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5
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#include |
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6
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7
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4
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/* C helper functions for Scientific package */ |
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8
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4
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100
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static double sci_safe_log(double a, int *error) { |
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9
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2
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if (a <= 0.0) { |
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10
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2
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*error = 1; |
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11
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return 0.0; |
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12
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2
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} |
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13
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2
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*error = 0; |
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14
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return log(a); |
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15
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} |
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16
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4
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17
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4
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100
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static double sci_safe_sqrt(double a, int *error) { |
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18
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2
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if (a < 0.0) { |
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19
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2
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*error = 1; |
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return 0.0; |
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21
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2
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} |
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22
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2
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*error = 0; |
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23
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return sqrt(a); |
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24
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} |
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25
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4
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26
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static double sci_ipow(double base, int exp) { |
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27
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4
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50
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/* Integer power - faster than pow() for integer exponents */ |
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28
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4
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if (exp == 0) return 1.0; |
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29
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4
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100
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int neg = 0; |
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30
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2
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if (exp < 0) { |
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31
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2
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neg = 1; |
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32
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exp = -exp; |
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33
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4
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} |
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34
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16
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100
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double result = 1.0; |
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35
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12
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100
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while (exp > 0) { |
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36
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12
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if (exp & 1) result *= base; |
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37
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12
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base *= base; |
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38
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exp >>= 1; |
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39
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4
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100
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} |
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40
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return neg ? 1.0 / result : result; |
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41
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} |
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42
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4
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43
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4
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50
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static double sci_combination(int n, int r) { |
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50
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44
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4
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50
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if (r > n || r < 0) return 0.0; |
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50
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45
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4
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if (r == 0 || r == n) return 1.0; |
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46
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12
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100
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double result = 1.0; |
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47
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8
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for (int i = 0; i < r; i++) { |
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48
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result = result * (n - i) / (i + 1); |
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49
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4
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} |
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50
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return result; |
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51
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} |
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52
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53
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MODULE = Acme::ExtUtils::XSOne::Test::Calculator PACKAGE = Acme::ExtUtils::XSOne::Test::Calculator::Scientific |
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54
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55
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PROTOTYPES: DISABLE |
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56
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57
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double |
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58
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power(base, exp) |
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59
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double base |
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60
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double exp |
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61
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CODE: |
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62
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RETVAL = pow(base, exp); |
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63
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add_to_history('^', base, exp, RETVAL); |
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64
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OUTPUT: |
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65
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RETVAL |
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66
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67
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double |
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68
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sqrt_val(a) |
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69
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double a |
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70
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CODE: |
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71
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if (a < 0.0) { |
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72
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croak("Cannot take square root of negative number"); |
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73
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} |
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74
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RETVAL = sqrt(a); |
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75
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add_to_history('r', a, 0.5, RETVAL); |
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76
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OUTPUT: |
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77
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RETVAL |
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78
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79
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double |
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80
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cbrt_val(a) |
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81
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double a |
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82
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CODE: |
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83
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RETVAL = cbrt(a); |
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84
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add_to_history('r', a, 1.0/3.0, RETVAL); |
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85
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OUTPUT: |
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86
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RETVAL |
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87
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88
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double |
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89
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nth_root(a, n) |
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90
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double a |
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91
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double n |
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92
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CODE: |
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93
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if (n == 0.0) { |
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94
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croak("Cannot take 0th root"); |
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95
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} |
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96
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if (a < 0.0 && fmod(n, 2.0) == 0.0) { |
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97
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croak("Cannot take even root of negative number"); |
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98
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} |
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99
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RETVAL = pow(a, 1.0/n); |
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100
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add_to_history('r', a, n, RETVAL); |
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101
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OUTPUT: |
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102
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RETVAL |
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103
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104
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double |
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105
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log_natural(a) |
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106
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double a |
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107
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CODE: |
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108
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if (a <= 0.0) { |
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109
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croak("Cannot take log of non-positive number"); |
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110
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} |
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111
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RETVAL = log(a); |
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112
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add_to_history('l', a, M_E, RETVAL); |
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113
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OUTPUT: |
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114
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RETVAL |
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115
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116
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double |
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117
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log10_val(a) |
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118
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double a |
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119
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CODE: |
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120
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if (a <= 0.0) { |
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121
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croak("Cannot take log of non-positive number"); |
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122
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} |
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123
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RETVAL = log10(a); |
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124
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add_to_history('L', a, 10, RETVAL); |
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125
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OUTPUT: |
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126
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RETVAL |
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127
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128
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double |
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129
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log_base(a, base) |
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130
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double a |
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131
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double base |
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132
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CODE: |
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133
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if (a <= 0.0 || base <= 0.0 || base == 1.0) { |
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134
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croak("Invalid logarithm arguments"); |
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135
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} |
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136
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RETVAL = log(a) / log(base); |
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137
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add_to_history('L', a, base, RETVAL); |
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138
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OUTPUT: |
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139
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RETVAL |
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140
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141
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double |
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142
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exp_val(a) |
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143
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double a |
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144
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CODE: |
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145
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RETVAL = exp(a); |
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146
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add_to_history('e', a, 0, RETVAL); |
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147
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OUTPUT: |
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148
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RETVAL |
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149
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150
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double |
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151
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factorial(n) |
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152
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int n |
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153
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CODE: |
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154
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if (n < 0) { |
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155
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croak("Cannot take factorial of negative number"); |
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156
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} |
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157
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if (n > 170) { |
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158
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croak("Factorial overflow (max 170)"); |
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159
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} |
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160
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RETVAL = 1.0; |
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161
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for (int i = 2; i <= n; i++) { |
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162
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RETVAL *= i; |
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163
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} |
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164
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add_to_history('!', (double)n, 0, RETVAL); |
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165
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OUTPUT: |
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166
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RETVAL |
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167
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168
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double |
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169
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ipow(base, exp) |
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170
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double base |
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171
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int exp |
|
172
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CODE: |
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173
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RETVAL = sci_ipow(base, exp); |
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174
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add_to_history('^', base, (double)exp, RETVAL); |
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175
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OUTPUT: |
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176
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RETVAL |
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177
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178
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double |
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179
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safe_sqrt(a) |
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180
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double a |
|
181
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CODE: |
|
182
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int error; |
|
183
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RETVAL = sci_safe_sqrt(a, &error); |
|
184
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if (!error) { |
|
185
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add_to_history('r', a, 0.5, RETVAL); |
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186
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} |
|
187
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OUTPUT: |
|
188
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RETVAL |
|
189
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190
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double |
|
191
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safe_log(a) |
|
192
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double a |
|
193
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CODE: |
|
194
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int error; |
|
195
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RETVAL = sci_safe_log(a, &error); |
|
196
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|
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if (!error) { |
|
197
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add_to_history('l', a, M_E, RETVAL); |
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198
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} |
|
199
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OUTPUT: |
|
200
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RETVAL |
|
201
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202
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double |
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203
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combination(n, r) |
|
204
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int n |
|
205
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int r |
|
206
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CODE: |
|
207
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RETVAL = sci_combination(n, r); |
|
208
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add_to_history('C', (double)n, (double)r, RETVAL); |
|
209
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OUTPUT: |
|
210
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RETVAL |
|
211
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212
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double |
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213
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permutation(n, r) |
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214
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int n |
|
215
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int r |
|
216
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CODE: |
|
217
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if (r > n || r < 0 || n < 0) { |
|
218
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RETVAL = 0.0; |
|
219
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} else { |
|
220
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RETVAL = sci_combination(n, r); |
|
221
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for (int i = 2; i <= r; i++) { |
|
222
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RETVAL *= i; |
|
223
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} |
|
224
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} |
|
225
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|
add_to_history('P', (double)n, (double)r, RETVAL); |
|
226
|
|
|
|
|
|
|
OUTPUT: |
|
227
|
|
|
|
|
|
|
RETVAL |
|
228
|
|
|
|
|
|
|
|
|
229
|
|
|
|
|
|
|
void |
|
230
|
|
|
|
|
|
|
import(...) |
|
231
|
|
|
|
|
|
|
CODE: |
|
232
|
|
|
|
|
|
|
{ |
|
233
|
|
|
|
|
|
|
static const char *scientific_exports[] = { |
|
234
|
|
|
|
|
|
|
"power", "sqrt_val", "cbrt_val", "nth_root", |
|
235
|
|
|
|
|
|
|
"log_natural", "log10_val", "log_base", "exp_val", |
|
236
|
|
|
|
|
|
|
"factorial", "ipow", "safe_sqrt", "safe_log", |
|
237
|
|
|
|
|
|
|
"combination", "permutation" |
|
238
|
|
|
|
|
|
|
}; |
|
239
|
|
|
|
|
|
|
do_import(aTHX_ "Acme::ExtUtils::XSOne::Test::Calculator::Scientific", |
|
240
|
|
|
|
|
|
|
scientific_exports, 14, items, ax); |
|
241
|
|
|
|
|
|
|
} |