The invention relates to a nonlinear function generator, a function transformer and a general nonlinear corrector, belonging to the technical fields of signal transformation and automatic control and measurement. The nonlinear function generator has the following types: an easy type and a synthetic type, inverted and inphase broken line types, inverted and inphase triangular wave synthesis types and a sine-wave synthesis type, and the like. The function transformer comprises the nonlinear function generator and an input and output gain controller which adopts a bipolar adjustable-gain amplifier, the nonlinear corrector has three types, i.e. a direct feed type, a feedback type and a combined type and comprises a weighted combiner, the function transformer and an output synthesizer, the general nonlinear corrector comprises a zero-bit adjustment circuit and the nonlinear corrector, and a (general) nonlinear corrector of a high impedance type adopts the (general) nonlinear corrector of a pre-voltage follower.