This engine is a general-purpose calculator. The calculator operates on floating-point values and 3D floating-point vectors. The engine takes up to eight inputs of each type (SoMFFloat and SoMFVec3f), and produces up to four
outputs of each type.
Each input field (a-h, A-H) can have multiple values, allowing the engine to evaluate the expression with different values in parallel. Some inputs may have more values than others.
In such cases, the last value of the shorter inputs will be repeated as necessary.
The expression input string specifies the expression to be evaluated. An expression can consist of multiple subexpressions. Several
subexpressions can be specified in one string, separated by semicolons (;). Alternatively, the subexpressions can be stored in separate strings in the multiple-valued input field.
Each subexpression is
of the form:
The <lhs> can be any one of the outputs or a temporary variable. The engine provides 8 temporary floating-point variables (ta, tb, tc, td, te, tf, tg, and th), and 8 temporary vector variables
(tA, tB, tC, tD, tE, tF, tG, and tH). You can assign a value to one component of a vector output (A-H) or a vector variable (tA-tH) by using the  operator. For example, oA = <rhs>, will evaluate the right
hand side and assign the value to the first component of the output vector oA.
<lhs> = <rhs>
The <rhs> supports arithmetic, logical and conditional operators. They are:
The ternary operator is a conditional operator. For
example, a ? b : c evaluates to b if a != 0, and to c if a==0.
(unary) !, -
(binary) +, -, *, /, %, <, > <=, >=, ==, !=, &&, ||
(ternary) ? :
Valid operands for the <rhs> include the inputs, outputs, temporary variables, and their components (e.g. oA). Operands can also be numeric constants
(e.g. 1.0), pre-defined named constants, or pre-defined functions.
The named constants are:
Most of the pre-defined functions come from the math library:
M_SQRT2 = sqrt(2)
M_SQRT1_2 = sqrt(1/2)
Other functions are defined by SoCalculator. They are:
cos, sin, tan,
acos, asin, atan, atan2,
cosh, sinh, tanh,
sqrt, pow, exp, log, log10,
ceil, floor, fabs, fmod.
subexpressions are evaluated in order, so a variable set in the <lhs> of an earlier expression may be used in the <rhs> of a later expression.
rand(f) - Random number generator
cross(v1, v2) - Vector cross product
dot(v1, v2) - Vector dot product
length(v) - Vector length
normalize(v) - Normalize vector
vec3f(f1, f2, f3) - Generate a vector from 3 floats
Note, when the input has multiple values, all the subexpressions
specified in the expression are applied to all the multiple input values. This is unlike the SoBoolOperation engine, where each operation is applied only to the corresponding entries of the input data. Note also, that even though
the inputs and outputs can have multiple values the  operator is only for indexing into the values of a single vector. It does not index into the multiple values of a field. For example, if the floating-point
input field a has two values: 1.0, and 2.0, then the expression
will produce two output vectors in oA: (1.0, 1.0, 0.0) and (2.0, 2.0, 0.0).
"oA=a; oA=a; oA=0.0"
Examples of expressions:
"ta = oA*floor(a)"
"tb = (a+b)*sin(M_PI)"
"oA = vec3f(ta, tb, ta+tb)"
"oB = normalize(oA)"
"ta = a; tb = sin(ta); oA = vec3f(ta, tb, 0)"