RetroSearch Browse

Home - News ( United States | United Kingdom | Italy | Germany ) - Football scores

Showing content from https://TheAlgorithms.github.io/C-Plus-Plus/d1/de9/integral__approximation_8cpp_source.html below:

TheAlgorithms/C++: math/integral_approximation.cpp Source File

Go to the documentation of this file. 43 const

std::function<

double

(

double

)>& func,

44 double

delta = .0001) {

46

uint64_t numDeltas =

static_cast<

uint64_t

>

((ub - lb) / delta);

47 for

(

int

i = 0; i < numDeltas; i++) {

48 double

begin = lb + i * delta;

49 double

end = lb + (i + 1) * delta;

50

result += delta * (func(begin) + func(end)) / 2;

62void test_eval

(

double

approx,

double

expected,

double

threshold) {

63

assert(approx >= expected * (1 - threshold));

64

assert(approx <= expected * (1 + threshold));

77

3.24, 7.56, [](

const double

x) {

return log

(x) +

exp

(x) + x; });

78

std::cout <<

"Test Case 1"

<< std::endl;

79

std::cout <<

"function: log(x) + e^x + x"

<< std::endl;

80

std::cout <<

"range: [3.24, 7.56]"

<< std::endl;

81

std::cout <<

"value: "

test_1

<< std::endl;

83

std::cout <<

"Test 1 Passed!"

<< std::endl;

84

std::cout <<

"====================="

<< std::endl;

87 return

x * x + cos(x) +

exp

(x) +

log

(x) *

log

(x);

89

std::cout <<

"Test Case 2"

<< std::endl;

90

std::cout <<

"function: x^2 + cos(x) + e^x + log^2(x)"

<< std::endl;

91

std::cout <<

"range: [.023, 3.69]"

<< std::endl;

92

std::cout <<

"value: "

test_2

<< std::endl;

94

std::cout <<

"Test 2 Passed!"

<< std::endl;

95

std::cout <<

"====================="

<< std::endl;

98

10.78, 24.899, [](

const double

x) {

return

x * x * x - x * x + 378; });

99

std::cout <<

"Test Case 3"

<< std::endl;

100

std::cout <<

"function: x^3 - x^2 + 378"

<< std::endl;

101

std::cout <<

"range: [10.78, 24.899]"

<< std::endl;

102

std::cout <<

"value: "

test_3

<< std::endl;

104

std::cout <<

"Test 3 Passed!"

<< std::endl;

105

std::cout <<

"====================="

<< std::endl;

109

[](

const double

x) {

return

cos(x) * tan(x) * x * x +

exp

(x); },

111

std::cout <<

"Test Case 4"

<< std::endl;

112

std::cout <<

"function: cos(x)*tan(x)*x^2 + e^x"

<< std::endl;

113

std::cout <<

"range: [.101, .505]"

<< std::endl;

114

std::cout <<

"value: "

<< test_4 << std::endl;

116

std::cout <<

"Test 4 Passed!"

<< std::endl;

117

std::cout <<

"====================="

<< std::endl;

120

-1, 1, [](

const double

x) {

return exp

(-1 / (x * x)); });

121

std::cout <<

"Test Case 5"

<< std::endl;

122

std::cout <<

"function: e^(-1/x^2)"

<< std::endl;

123

std::cout <<

"range: [-1, 1]"

<< std::endl;

124

std::cout <<

"value: "

<< test_5 << std::endl;

126

std::cout <<

"Test 5 Passed!"

<< std::endl;

static void test()

Self-test implementations.

int main()

Main function.

void log(T msg)

A function to print given message on console.

uint256_t exp(uint256_t number, uint256_t power, const uint256_t &mod)

This function calculates number raised to exponent power under modulo mod using Modular Exponentiatio...

void test_eval(double approx, double expected, double threshold)

Wrapper to evaluate if the approximated value is within .XX% threshold of the exact value.

double integral_approx(double lb, double ub, const std::function< double(double)> &func, double delta=.0001)

Computes integral approximation.

RetroSearch is an open source project built by @garambo | Open a GitHub Issue

Search and Browse the WWW like it's 1997 | Search results from DuckDuckGo

HTML: 3.2 | Encoding: UTF-8 | Version: 0.7.4