Module type Plompiler.NUM

Element of the native scalar field.

Representation of values.

Plompiler program.

constant s returns the constant value s.

zero returns the value 0.

one returns the value 1.

range_check ~nb_bits s asserts that s is in the range [0, 2^nb_bits).

custom ~qc ~ql ~qr ~qo ~qm ~qx2b ~qx5a a b returns a value c for which the following arithmetic constraint is added: qc + ql * a + qr * b + qo * c + qm * a * b + qx2b * b^2 + qx5a * a^5 = 0

Manually adding constraints can be error-prone. Handle with care.

assert_custom ~qc ~ql ~qr ~qo ~qm a b c asserts the following arithmetic constraint: qc + ql * a + qr * b + qo * c + qm * a * b + qx2b * b^2 + qx5a * a^5 = 0

Manually adding constraints can be error-prone. Handle with care.

add ~qc ~ql ~qr a b returns a value c such that ql * a + qr * b + qc = c.

add_constant ~ql k a returns a value c such that ql * a + k = c.

mul ~qm a b returns a value c such that qm * a * b = c.

div ~den_coeff a b asserts b is non-zero and returns a value c such that a / (b * den_coeff) = c.

pow5 a returns a value c such that a^5 = c.

is_zero a returns a boolean c representing whether a is zero.

is_not_zero a is the opposite of is_zero a.

assert_nonzero a asserts that a is not zero.

assert_bool a asserts that a is either zero or one.