我有一个非常简单的小函数,可以验证传递的vector
中的值:
bool Verify( std::vector<std::pair<float, float>> const & source) {
// The lookup table must be changing linearly on input
float delta_x{};
for (unsigned i = 1; i < source.size(); i++) {
auto input_delta = std::abs(source[i].first - source[i-1].first);
if (i == 1) {
delta_x = input_delta;
} else {
std::cout << "LUT"
<< "Expected step: '" << std::setprecision(10) << delta_x << "'."
<< " measured step[" << i << "]: '"
<< std::setprecision(10) << input_delta << "'"
<< (input_delta-delta_x)
<< ":" << source[i].first << "-" << source[i-1].first << std::endl;
if (delta_x != input_delta) {
return false;
}
}
}
return true;
}
看起来相当简单。但是,它失败了。当我传递这样一个简单的向量时:
std::vector<std::pair<float, float>>kDecodeLut{
{ -1.326, 101.3974},
{ 6.174, 96.0049 },
{ 13.674, 91.5644 },
{ 21.174, 87.5549 },
{ 28.674, 83.7873 },
{ 36.174, 80.1683 },
{ 43.674, 76.6441 },
{ 51.174, 73.1802 },
{ 58.674, 69.7524 }};
Verify
方法看到的值与向量中的值不完全相同。这是打印输出:
LUTExpected step: '7.5'. measured step[2]: '7.5'0:13.67399979-6.173999786
LUTExpected step: '7.5'. measured step[3]: '7.5'0:21.17399979-13.67399979
LUTExpected step: '7.5'. measured step[4]: '7.5'0:28.67399979-21.17399979
LUTExpected step: '7.5'. measured step[5]: '7.5'0:36.17399979-28.67399979
LUTExpected step: '7.5'. measured step[6]: '7.5'0:43.67399979-36.17399979
LUTExpected step: '7.5'. measured step[7]: '7.5'0:51.17399979-43.67399979
LUTExpected step: '7.5'. measured step[8]: '7.5'0:58.67399979-51.17399979
好像从原始kDecodeLut
向量到Verify
内的内部变量有一些数字转换。
真的有某种转换吗?我不打算以任何形式复制或修改kDecodeLut
向量。
还有什么可以解释这种行为?
修改:
我已添加代码以在调用Verify
之前打印值,并且它们会按预期显示出来。
for (unsigned i = 1; i < kTiltWingDecodeLut.size(); i++) {
std::cout << "LUT"
<< ":" << kTiltWingDecodeLut[i].first << "-" << kTiltWingDecodeLut[i-1].first << std::endl;
}
Verify(kTiltWingDecodeLut);
这是输出
LUT:6.174--1.326
LUT:13.674-6.174
LUT:21.174-13.674
LUT:28.674-21.174
LUT:36.174-28.674
LUT:43.674-36.174
LUT:51.174-43.674
LUT:58.674-51.174
LUTExpected step: '7.5'. measured step[2]: '7.5'0:13.67399979-6.173999786
LUTExpected step: '7.5'. measured step[3]: '7.5'0:21.17399979-13.67399979
LUTExpected step: '7.5'. measured step[4]: '7.5'0:28.67399979-21.17399979
LUTExpected step: '7.5'. measured step[5]: '7.5'0:36.17399979-28.67399979
LUTExpected step: '7.5'. measured step[6]: '7.5'0:43.67399979-36.17399979
LUTExpected step: '7.5'. measured step[7]: '7.5'0:51.17399979-43.67399979
LUTExpected step: '7.5'. measured step[8]: '7.5'0:58.67399979-51.17399979
答案 0 :(得分:2)
这是四舍五入的情况。正如您在this page,6.174上看到的,转换为32位浮点时更像是6.1739998。实际表示在该页面上解释:2 ^ 2 * 1.5434999(1.10001011001000101101000二进制).64位浮点值使用乘法器中的附加二进制位01110010101100000010000011001比特价值。
如果您使用相同的setprecision(10)
打印之前的值,您会看到相同的数字。