store.cpp
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#include <quiz.h>
#include <assert.h>
#include <math.h>
#include <cmath>
#include "../store.h"
namespace Statistics {
void assert_value_approximately_equal_to(double d1, double d2) {
assert((std::isnan(d1) && std::isnan(d2))
|| (std::isinf(d1) && std::isinf(d2) && d1*d2 > 0 /*same sign*/)
|| fabs(d1-d2) < 0.001);
}
void assert_data_statictics_equal_to(double n[], double v[], int numberOfData, double sumOfOccurrences, double maxValue, double minValue, double range, double mean, double variance, double standardDeviation, double sampleStandardDeviation, double firstQuartile, double thirdQuartile, double quartileRange, double median, double sum, double squaredValueSum) {
Store store;
int seriesIndex = 0;
// Set the data in the store
for (int i = 0; i < numberOfData; i++) {
store.set(n[i], seriesIndex, 0, i);
store.set(v[i], seriesIndex, 1, i);
}
// Compare the statistics
assert_value_approximately_equal_to(standardDeviation * standardDeviation, variance);
assert_value_approximately_equal_to(store.sumOfOccurrences(seriesIndex), sumOfOccurrences);
assert_value_approximately_equal_to(store.maxValue(seriesIndex), maxValue);
assert_value_approximately_equal_to(store.minValue(seriesIndex), minValue);
assert_value_approximately_equal_to(store.range(seriesIndex), range);
assert_value_approximately_equal_to(store.mean(seriesIndex), mean);
assert_value_approximately_equal_to(store.variance(seriesIndex), variance);
assert_value_approximately_equal_to(store.standardDeviation(seriesIndex), standardDeviation);
assert_value_approximately_equal_to(store.sampleStandardDeviation(seriesIndex), sampleStandardDeviation);
assert_value_approximately_equal_to(store.firstQuartile(seriesIndex), firstQuartile);
assert_value_approximately_equal_to(store.thirdQuartile(seriesIndex), thirdQuartile);
assert_value_approximately_equal_to(store.quartileRange(seriesIndex), quartileRange);
assert_value_approximately_equal_to(store.median(seriesIndex), median);
assert_value_approximately_equal_to(store.sum(seriesIndex), sum);
assert_value_approximately_equal_to(store.squaredValueSum(seriesIndex), squaredValueSum);
}
QUIZ_CASE(data_statistics) {
/* 1 2 3 4
* 1 1 1 1 */
double n1[4] = {1.0, 2.0, 3.0, 4.0};
double v1[4] = {1.0, 1.0, 1.0, 1.0};
assert_data_statictics_equal_to(
n1,
v1,
4,
/* sumOfOccurrences */ 4.0,
/* maxValue */ 4.0,
/* minValue */ 1.0,
/* range */ 3.0,
/* mean */ 2.5,
/* variance */ 1.25,
/* standardDeviation */ 1.118,
/* sampleStandardDeviation */ 1.291,
/* firstQuartile */ 1.0,
/* thirdQuartile */ 3.0,
/* quartileRange */ 2.0,
/* median */ 2.5,
/* sum */ 10.0,
/* squaredValueSum */ 30.0);
/* 1 2 3 4 5 6 7 8 9 10 11
* 1 1 1 1 1 1 1 1 1 1 1 */
double n2[11] = {1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0};
double v2[11] = {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0};
assert_data_statictics_equal_to(
n2,
v2,
11,
/* sumOfOccurrences */ 11.0,
/* maxValue */ 11.0,
/* minValue */ 1.0,
/* range */ 10.0,
/* mean */ 6.0,
/* variance */ 10.0,
/* standardDeviation */ 3.1623,
/* sampleStandardDeviation */ 3.3166,
/* firstQuartile */ 3.0,
/* thirdQuartile */ 9.0,
/* quartileRange */ 6.0,
/* median */ 6.0,
/* sum */ 66.0,
/* squaredValueSum */ 506.0);
/* 1 2 3 4 5 6 7 8 9 10 11 12
* 1 1 1 1 1 1 1 1 1 1 1 1 */
double n3[12] = {1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0, 10.0, 11.0, 12.0};
double v3[12] = {1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0};
assert_data_statictics_equal_to(
n3,
v3,
12,
/* sumOfOccurrences */ 12.0,
/* maxValue */ 12.0,
/* minValue */ 1.0,
/* range */ 11.0,
/* mean */ 6.5,
/* variance */ 11.917,
/* standardDeviation */ 3.4521,
/* sampleStandardDeviation */ 3.6056,
/* firstQuartile */ 3.0,
/* thirdQuartile */ 9.0,
/* quartileRange */ 6.0,
/* median */ 6.5,
/* sum */ 78.0,
/* squaredValueSum */ 650.0);
/* 1 2 3 5 10
* 0.2 0.05 0.3 0.0001 0.4499 */
double n4[5] = {1.0, 2.0, 3.0, 5.0, 10.0};
double v4[5] = {0.2, 0.05, 0.3, 0.0001, 0.4499};
assert_data_statictics_equal_to(
n4,
v4,
5,
/* sumOfOccurrences */ 1.0,
/* maxValue */ 10.0,
/* minValue */ 1.0,
/* range */ 9.0,
/* mean */ 5.6995,
/* variance */ 15.6082,
/* standardDeviation */ 3.9507,
/* sampleStandardDeviation */ INFINITY,
/* firstQuartile */ 2.0,
/* thirdQuartile */ 10.0,
/* quartileRange */ 8.0,
/* median */ 3.0,
/* sum */ 5.6995,
/* squaredValueSum */ 48.0925);
/* 1 -2 3 5 10
* 0.4 0.00005 0.9 0.4 0.5 */
double n5[5] = {1.0, -2.0, 3.0, 5.0, 10.0};
double v5[5] = {0.4, 0.00005, 0.9, 0.4, 0.5};
assert_data_statictics_equal_to(
n5,
v5,
5,
/* sumOfOccurrences */ 2.2,
/* maxValue */ 10.0,
/* minValue */ -2.0,
/* range */ 12.0,
/* mean */ 4.5908,
/* variance */ 10.06,
/* standardDeviation */ 3.1719,
/* sampleStandardDeviation */ 4.2947,
/* firstQuartile */ 3.0,
/* thirdQuartile */ 5.0,
/* quartileRange */ 2.0,
/* median */ 3.0,
/* sum */ 10.1,
/* squaredValueSum */ 68.500);
/* -7 -10 12 5 -2
* 4 5 3 1 9 */
double n6[6] = {-7.0, -10.0, 1.0, 2.0, 5.0, -2.0};
double v6[6] = {4.0, 5.0, 3.0, 0.5, 1.0, 9.0};
assert_data_statictics_equal_to(
n6,
v6,
6,
/* sumOfOccurrences */ 22.5,
/* maxValue */ 5.0,
/* minValue */ -10.0,
/* range */ 15.0,
/* mean */ -3.8667,
/* variance */ 18.9155,
/* standardDeviation */ 4.3492,
/* sampleStandardDeviation */ 4.4492,
/* firstQuartile */ -7.0,
/* thirdQuartile */ -2.0,
/* quartileRange */ 5.0,
/* median */ -2.0,
/* sum */ -87.0,
/* squaredValueSum */ 762.0);
/* 1 1 1 10 3 -1 3
* 1 1 1 0 0 0 1 */
double n7[7] = {1.0, 1.0, 1.0, 10.0, 3.0, -1.0, 3.0};
double v7[7] = {1.0, 1.0, 1.0, 0.0, 0.0, 0.0, 1.0};
assert_data_statictics_equal_to(
n7,
v7,
7,
/* sumOfOccurrences */ 4.0,
/* maxValue */ 3.0,
/* minValue */ 1.0,
/* range */ 2.0,
/* mean */ 1.5,
/* variance */ 0.75,
/* standardDeviation */ 0.866,
/* sampleStandardDeviation */ 1.0,
/* firstQuartile */ 1.0,
/* thirdQuartile */ 1.0,
/* quartileRange */ 0.0,
/* median */ 1.0,
/* sum */ 6.0,
/* squaredValueSum */ 12.0);
}
}