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Copyright 2014-2016 The RIVET Developers. See the COPYRIGHT file at
the top-level directory of this distribution.
This file is part of RIVET.
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with this program. If not, see <>.
// Created by Bryn Keller on 6/21/16.
#include "numerics.h"
namespace rivet {
namespace numeric {
std::vector<double> to_doubles(const std::vector<exact> exacts)
std::vector<double> doubles(exacts.size());
std::transform(exacts.begin(), exacts.end(), doubles.begin(), [](exact num) {
return numerator(num).convert_to<double>() / denominator(num).convert_to<double>();
return doubles;
bool is_number(const std::string& s)
std::string::const_iterator it = s.begin();
if (it != s.end() && *it == '-')
while (it != s.end() && (std::isdigit(*it) || *it == '.'))
return !s.empty() && it == s.end();
//helper function to convert a string to an exact (rational)
//accepts string such as "12.34", "765", and "-10.8421"
exact str_to_exact(const std::string& str)
if (!is_number(str)) {
throw std::runtime_error("'" + str + "' is not a number");
exact r;
//find decimal point, if it exists
std::string::size_type dec = str.find(".");
if (dec == std::string::npos) //then decimal point not found
r = exact(str);
} else //then decimal point found
//get whole part and fractional part
std::string whole = str.substr(0, dec);
std::string frac = str.substr(dec + 1);
unsigned exp = frac.length();
//test for negative, and remove minus sign character
bool neg = false;
if (whole.length() > 0 && whole[0] == '-') {
neg = true;
whole.erase(0, 1);
//remove leading zeros (otherwise, c++ thinks we are using octal numbers)
std::string num_str = whole + frac;
boost::algorithm::trim_left_if(num_str, boost::is_any_of("0"));
//now it is safe to convert to rational
std::istringstream s(num_str);
boost::multiprecision::cpp_int num;
s >> num;
boost::multiprecision::cpp_int ten = 10;
boost::multiprecision::cpp_int denom = boost::multiprecision::pow(ten, exp);
r = exact(num, denom);
if (neg)
r = -1 * r;
return r;
//computes the projection of the lower-left corner of the line-selection window onto the specified line
// NOTE: parametrization of the line is as in the RIVET paper
// this function is similar to BarcodeTemplate::project()
double project_to_line(double angle, double offset, double x_0, double y_0)
if (angle == 0) //then line is horizontal
return x_0;
if (angle == 90) //then line is vertical
return y_0;
//if we get here, then line is neither horizontal nor vertical
double radians = angle * PI / 180;
double yL = x_0 * tan(radians) + offset / cos(radians); // the point (x_0, yL) is on the line
if (y_0 >= yL) { //then point is above line, so project to the right
if (offset >= 0) {
return (y_0 * cos(radians) - offset) / (sin(radians) * cos(radians));
} //else
return y_0 / sin(radians);
} //else: point is below the line, so project up
if (offset >= 0) {
return x_0 / cos(radians);
} //else
return yL / sin(radians);
} //end project_zero()