extern StgDouble __encodeDouble (I_ size, StgByteArray arr, I_ e);
extern StgDouble __2Int_encodeDouble (I_ j_high, I_ j_low, I_ e);
extern StgDouble __int_encodeDouble (I_ j, I_ e);
extern StgDouble __encodeDouble (I_ size, StgByteArray arr, I_ e);
extern StgDouble __2Int_encodeDouble (I_ j_high, I_ j_low, I_ e);
extern StgDouble __int_encodeDouble (I_ j, I_ e);
extern StgFloat __encodeFloat (I_ size, StgByteArray arr, I_ e);
extern StgFloat __int_encodeFloat (I_ j, I_ e);
extern StgFloat __encodeFloat (I_ size, StgByteArray arr, I_ e);
extern StgFloat __int_encodeFloat (I_ j, I_ e);
extern StgInt isDoubleNaN(StgDouble d);
extern StgInt isDoubleInfinite(StgDouble d);
extern StgInt isDoubleDenormalized(StgDouble d);
extern StgInt isDoubleNaN(StgDouble d);
extern StgInt isDoubleInfinite(StgDouble d);
extern StgInt isDoubleDenormalized(StgDouble d);
extern void dirty_MUT_VAR(StgRegTable *reg, StgClosure *p);
extern void dirty_MVAR(StgRegTable *reg, StgClosure *p);
extern void dirty_MUT_VAR(StgRegTable *reg, StgClosure *p);
extern void dirty_MVAR(StgRegTable *reg, StgClosure *p);