#define coefType double
#define coefTypeWN(x) double x = 0
#define signalType double
#define signalTypeWN(x) double x = 0
#define signalType double
#define signalTypeWN(x) double x = 0
#define histType double
#define histTypeWN(x) double x = 0
#define outType double
#define outTypeWN(x) double x = 0
#define prodType double
#define prodTypeWN(x) double x = 0
#define xType double
#define xTypeWN(x) double x = 0
#define yType double
#define yTypeWN(x) double x = 0