if not modules then modules = { } end modules ['math-pre'] = {
    version   = 1.001,
    optimize  = true,
    comment   = "companion to math-ini.mkiv",
    author    = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
    copyright = "PRAGMA ADE / ConTeXt Development Team",
    license   = "see context related readme files"
}

local type, tonumber = type, tonumber
local gmatch, find, topattern = string.gmatch, string.find, string.topattern

local parameterlist = tex.getmathparametervalues()
local mathstylelist = tex.getmathstylenamevalues()
local parameterhash = table.swapped(parameterlist)
local mathstylehash = table.swapped(mathstylelist)

local axis = parameterhash.axis

local getmath = tex.getmath
local setmath = tex.setmath

local function expandparameters(t)
    local result = { }
    local kind   = type(t)
    local function expand(s)
        s = topattern(s)
        for i=1,#parameterlist do
            local p = parameterlist[i]
            if find(p,s) then
                result[#result+1] = p
            end
        end
    end
    if kind == "string" then
        for s in gmatch(t,"[^%s,]+") do
            expand(s)
        end
    elseif kind == "table" then
        for i=1,#t do
            expand(t[i])
        end
    end
    return result
end

function setmathparameters(t)
    if t then
        for i=1,#t do
            local ti     = t[i]
            local list   = ti.list
            local factor = ti.factor or 1
            local style  = ti.style
            local value  = ti.value
            local unit   = ti.unit

            local function set(li,si,value)
                if value then
                    setmath(li,si,value)
                elseif factor == 0 then
                    setmath(li,si,0)
                elseif unit == "axis" then
                    setmath(li,si,factor * getmath(axis,i))
                else
                    setmath(li,si,factor * getmath(li,i))
                end
            end

            for i=1,#list do
                local li = parameterhash[list[i]]
                if li then
                    if style == "all" then
                        for si=0,7 do
                            set(li,si,value)
                        end
                    elseif type(style) == "string" then
                        local si = mathstylehash[style]
                        if si then
                            set(li,si,value)
                        end
                    else
                        for s=1,#style do
                            local si = mathstylehash[style[s]]
                            if si then
                                set(li,si,value)
                            end
                        end
                    end
                end
            end
        end
    end
end

-- example

local stacklist = {
    "fractionnumvgap",
    "fractiondenomvgap",
    "fractionnumup",
    "fractiondenomdown",
    "stackdenomdown",
    "stacknumup",
    "stackvgap",
}

local presets = {
    less = {
        {
            factor = .5,
         -- factor = 0,
         -- value  = 655360,
         -- unit   = "axis",
            list   = stacklist,
         -- style  = { "display" },
         -- style  = "display",
            style = "all"
        },
    },
    more = {
        {
            factor = 2,
            list   = stacklist,
            style  = "all"
        },
    },
    zero = {
        {
            factor = 0,
            list   = stacklist,
            style  = "all"
        },
    },
}

mathematics.presets = presets -- we might need to store these in the format file

function mathematics.preset(list)
    for s in gmatch(list,"[^%s,]+") do
        setmathparameters(presets[s])
    end
end

-- todo: append, prepend, inherit

interfaces.implement {
    name      = "definemathpreset",
    public    = true,
    protected = true,
    arguments = { "optional", "hash" },
    actions   = function(name,t)
        if next(t) then
            local factor = t.factor
            local style  = t.style
            local list   = t.list
            local unit   = t.unit
            if factor then
                t.factor = tonumber(factor)
            end
            if style and style ~= "all" then
                t.style = utilities.parsers.settings_to_array(style)
            end
            if list then
             -- t.list = utilities.parsers.settings_to_array(list)
                t.list = expandparameters(list)
            end
            if unit and unit ~= "axis" then
                t.unit = nil
            end
            -- todo: value
            local p = presets[name]
            if p then
                p[#p+1] = t
            else
                presets[name] = t
            end
        else
            presets[name] = nil
        end
    end,
}

interfaces.implement {
    name      = "presetmathematics",
    public    = true,
    protected = true,
    arguments = "optional",
    actions   = mathematics.preset,
}